f**3/9 + 3142. Factor v(x).
4*x**2*(x - 373)/3
Let m(x) be the third derivative of 0*x**4 - 3/50*x**5 - 17/600*x**6 + 0*x - 6 + 0*x**3 - 1/280*x**8 + 109/1050*x**7 + 7*x**2. Let m(r) = 0. What is r?
-1/3, 0, 1/2, 18
Suppose -3*s = -2*q + 4*q - 71, 5*s = -25. Let v(l) = -16*l + 693. Let x be v(q). Factor 260*b**3 + 2/13*b**x - 3380*b**2 - 10*b**4 + 21970*b - 57122.
2*(b - 13)**5/13
Let w(r) be the third derivative of r**5/270 - 152*r**4/27 + 92416*r**3/27 - 7480*r**2. Factor w(a).
2*(a - 304)**2/9
Let r(o) be the second derivative of 0 + 4/135*o**5 + 7*o**2 - 4/27*o**3 + 11*o + 1/54*o**4 - 1/90*o**6. Let y(x) be the first derivative of r(x). Factor y(n).
-4*(n - 1)**2*(3*n + 2)/9
Factor -3/7*z**3 - 264*z - 159/7*z**2 + 1008.
-3*(z - 3)*(z + 28)**2/7
Let x(p) be the third derivative of -9025*p**5/3 - 475*p**4/6 - 5*p**3/6 + 4*p**2 - 10*p. Factor x(j).
-5*(190*j + 1)**2
Let v(f) be the first derivative of -4*f**3/3 - 454*f**2 - 904*f + 4489. Factor v(u).
-4*(u + 1)*(u + 226)
Suppose -2 = f - i, 8*f = 5*f + i + 4. Let r be (-3)/(-4) + (117/44)/f. Solve 2/11*d + 16/11*d**3 + 24/11*d**4 + 4/11 - r*d**5 - 28/11*d**2 = 0.
-1, -1/3, 2/3, 1
Let c = -23941/30 - -2395/3. Let d(z) be the second derivative of 23*z + 1/20*z**4 + 0 + c*z**3 + 3/5*z**2. Factor d(q).
3*(q + 1)*(q + 2)/5
Solve 175/2*r**3 + 164*r + 1/2*r**5 - 54 - 363/2*r**2 - 33/2*r**4 = 0 for r.
1, 2, 27
Let w(c) = 2*c**2 + 2782*c - 25050. Let d be w(9). Factor d + 30*x + 3/2*x**2.
3*(x + 10)**2/2
Suppose 3*o - 13 = -6*i + i, 2*i + o - 5 = 0. Let m(q) be the second derivative of 37*q - 1/70*q**5 + 0 - 8/21*q**3 + 16/7*q**i - 1/6*q**4. Factor m(u).
-2*(u - 1)*(u + 4)**2/7
Let u be 25/5 - (-2 + (1 - -2)). Let o(n) = -n**2 + n + 1. Let q(m) = 60*m**2 + 20*m + 5. Let b(c) = u*o(c) - q(c). Factor b(k).
-(8*k + 1)**2
Suppose 0*j + 33 = 11*j. Suppose 0 = n - 16*i + 14*i - 12, 0 = j*n - 2*i - 16. Factor 0 - 6/7*g**n - 4/7*g + 2/7*g**4 + 0*g**3.
2*g*(g - 2)*(g + 1)**2/7
Let p be 9/(((-42)/80)/7). Let q be ((-6)/(-5))/((-18)/p). Factor 39*u**3 + 40*u**3 - q*u**2 + 4*u**4 - 75*u**3.
4*u**2*(u - 1)*(u + 2)
Let p be (-30)/2 - (-697)/41. Let u(z) be the third derivative of 1/68*z**4 + 1/510*z**5 + 0 + 0*z + 16*z**p + 2/51*z**3. Solve u(g) = 0.
-2, -1
Factor -1/3*g**2 + 182 - 545/3*g.
-(g - 1)*(g + 546)/3
Suppose 99*r + 56 + 8 = 131*r. Determine m so that 4/7*m + 0 - 10/7*m**r + 4/7*m**3 = 0.
0, 1/2, 2
Let x = 405/94 + -1707/658. Suppose 0 = 2*r - 5 + 1. Factor -2/7*h**3 + x*h**r + 16/7 - 24/7*h.
-2*(h - 2)**3/7
Let k(z) = -3*z**3 + 93*z**2 + 560*z - 662. Let f(d) = -12*d**3 + 279*d**2 + 1678*d - 1987. Let j(p) = -2*f(p) + 7*k(p). Factor j(t).
3*(t - 1)*(t + 10)*(t + 22)
Factor -897/2 - 447*i + 3/2*i**2.
3*(i - 299)*(i + 1)/2
Let h = -162313/2 - -81170. Determine u, given that -1/2*u**3 + h*u + 6*u**2 + 7 = 0.
-1, 14
Factor 117128/3 + 968/3*k + 2/3*k**2.
2*(k + 242)**2/3
Let b(x) be the third derivative of x**5/80 - 31*x**4/2 - 2*x**2 - 10*x + 55. Determine y, given that b(y) = 0.
0, 496
Let i(c) = -c**2 + 1. Let u(n) = -5*n**3 + 32*n**2 - 13*n + 8. Let a be u(6). Let d(m) = -m**3 - 6*m**2 - 2*m + 9. Let t(x) = a*d(x) - 18*i(x). Factor t(h).
-2*h*(h - 2)*(h - 1)
Suppose 82*h = -36*h - 238 + 1654. Factor -148/3*k + h - 4*k**3 + 124/3*k**2.
-4*(k - 9)*(k - 1)*(3*k - 1)/3
Let v be 44/88 + 12/(-27). Let q(i) be the second derivative of 0 + 2/3*i**2 - i + 1/9*i**3 - v*i**4. Factor q(n).
-2*(n - 2)*(n + 1)/3
Suppose 14*o = 3*z - z + 25*o - 136, -24 = -2*o. Find a such that 4/7*a**z + 120/7*a + 900/7 = 0.
-15
Let w be (-92)/5 - (-11 + (-636)/(-60)). Let f be 3/w*(-8 + 4). Factor -2/3*c - f - 1/6*c**2.
-(c + 2)**2/6
Let x(u) be the second derivative of u**5/80 + u**4/12 - u**3/6 - 2*u**2 + 554*u. Factor x(b).
(b - 2)*(b + 2)*(b + 4)/4
Suppose -1312/5*g**2 + 904/5*g**3 - 16*g**4 + 2/5*g**5 + 41472/5 - 14976/5*g = 0. Calculate g.
-4, 4, 18
Suppose 0*x + 192/11*x**3 + 0 + 0*x**2 - 2/11*x**4 = 0. What is x?
0, 96
Factor -76 - 153*o**2 + 60 + 144*o + 4*o**3 + 320 - 9*o**2 + 6*o**2.
4*(o - 38)*(o - 2)*(o + 1)
Let y(p) = -2*p**3 - p**2 - 18. Let o(x) = 24*x**3 + 286*x**2 + 4320*x - 15372. Let w(b) = -o(b) - 10*y(b). Determine n, given that w(n) = 0.
-36, 3
Suppose -13 = 5*h + 5*c - 53, -5*h - 4*c + 40 = 0. Let -3 - 8 - a**3 - 5 + 6 + 19*a - h*a**2 = 0. Calculate a.
-10, 1
Let o(u) = u**2 - 32*u + 223. Let h be o(22). Let z(b) be the second derivative of 1/4*b**h + 0 + 12*b + 1/48*b**4 + 9/8*b**2. Factor z(r).
(r + 3)**2/4
Suppose -71*t + 74*t - 114 = -54*t. Factor 6*j**3 - 4/3 - 6*j + 4/3*j**t.
2*(j - 1)*(j + 1)*(9*j + 2)/3
Find y, given that 1624*y + 1019*y**2 + y**5 - 413*y**2 + 141*y**4 - 406*y**2 + 719*y**2 + 848*y**2 + 823*y**3 + 540 = 0.
-135, -2, -1
Let n(p) be the second derivative of 11*p**5 + 455*p**4/12 + 125*p**3/3 + 15*p**2/2 + 4*p + 25. Factor n(r).
5*(r + 1)**2*(44*r + 3)
Let a(h) = 6*h - 46. Let f be a(8). Factor -25 + x + 7 - 13*x - f*x**2 + 2.
-2*(x + 2)*(x + 4)
What is h in 13*h + 1/2*h**2 + 0 = 0?
-26, 0
Let h = 6478 - 129559/20. Let o(q) be the third derivative of h*q**5 + 0 + q**3 - 5*q**2 - 3/8*q**4 + 0*q. Factor o(y).
3*(y - 2)*(y - 1)
Suppose -69 + 104 = 5*z. Suppose -n = z*n - 24. Determine u so that -u**5 + 8*u**2 + 13*u**2 + 3*u**n + 0*u - 22*u**2 - 2*u + u**4 = 0.
-1, 0, 1, 2
Solve 4*b**3 - 5*b - 6576*b**4 + 6581*b**4 - 5*b**2 + b**3 = 0.
-1, 0, 1
Let 48 + 20*u**5 + 119915*u**2 + 29435*u + 8445*u**3 + 1098*u**4 - 2113*u**4 - 48 = 0. What is u?
-7, -1/4, 0, 29
Let z(l) = -l**4 + 4*l**3 - 16*l - 2. Let n = 36 + -16. Suppose -2*h + n = 3*h. Let k(y) = y**3 + y**2 - y. Let t(r) = h*z(r) - 36*k(r). Solve t(a) = 0 for a.
-2, -1
Let h = 8/861 - 31084/9471. Let j = -133/44 - h. Factor 0 + j*w**2 + 1/4*w**3 + 0*w - 1/4*w**5 - 1/4*w**4.
-w**2*(w - 1)*(w + 1)**2/4
Let n(l) be the third derivative of -7/16*l**6 + 36/5*l**5 + 0*l**3 + 1/140*l**7 + 0*l + 44*l**2 + 81/4*l**4 + 0. Determine r, given that n(r) = 0.
-1, 0, 18
Let n(h) be the first derivative of -2*h**5/5 - 33*h**4 + 136*h**3/3 + 66*h**2 - 134*h - 20. What is s in n(s) = 0?
-67, -1, 1
Let o(q) be the third derivative of -q**5/15 + 92*q**4 - 50784*q**3 - 54*q**2 + 19. Factor o(s).
-4*(s - 276)**2
Let b(l) be the second derivative of -l**5/30 + 17*l**4/18 + 41*l**3/9 - 19*l**2 + 2246*l. Factor b(w).
-2*(w - 19)*(w - 1)*(w + 3)/3
Let m(j) = -31*j**2 - j. Let b(i) = -376*i**2 - 1052*i - 2064. Let a(w) = -b(w) + 12*m(w). Factor a(f).
4*(f + 2)*(f + 258)
Let k(n) = n**4 + 2*n + 3. Let l(m) = 13*m**4 - 68*m**3 + 69*m**2 + 1888*m + 3052. Let d(c) = -9*k(c) + l(c). Factor d(z).
(z - 11)**2*(2*z + 5)**2
Let v = 297865/12 - 24822. Let a(i) be the first derivative of -i + 30 - 5/9*i**3 + v*i**4 + 7/6*i**2. Factor a(y).
(y - 3)*(y - 1)**2/3
Let z(r) = -15*r. Let l(f) be the third derivative of f**5/60 + f**4/24 + 102*f**2. Let y(h) = l(h) - z(h). Factor y(w).
w*(w + 16)
Determine u, given that -2877/2*u**2 - 881974079/2 - 1/2*u**3 - 2759043/2*u = 0.
-959
Let q(w) be the first derivative of -w**4/8 + 267*w**3/2 - 1599*w**2/4 + 799*w/2 + 790. Find l such that q(l) = 0.
1, 799
Let p(v) = -120*v - 110. Let a be p(-9). Let z = a - 1939/2. Solve 2*g**4 - g**2 + 5/2*g - z*g**5 - 2*g**3 - 1 = 0 for g.
-1, 1, 2
Suppose 40*n - 44*n = 5*w - 62, -4*n + 78 = -3*w. Suppose -n*d + 15*d = -27. Find p such that -34*p**3 - 39*p - 229/4*p**2 - d - 29/4*p**4 - 1/2*p**5 = 0.
-6, -1, -1/2
Let p(x) be the first derivative of 0*x - 1/45*x**5 + 0*x**2 - 5/18*x**4 + 2 + 0*x**3. Factor p(d).
-d**3*(d + 10)/9
Let p = -395 - -398. Factor u**3 + 22*u**2 - 9*u**p - 64*u**2 - 4*u**4 + 38*u**2.
-4*u**2*(u + 1)**2
Let a(z) be the first derivative of -z**4/6 + 8*z**3/3 - 16*z**2 - 8*z + 1. Let x(n) be the first derivative of a(n). Factor x(o).
-2*(o - 4)**2
Let j(p) = -27*p - 79. Let k be j(-3). What is v in -11*v**4 - v + 16*v**4 - 12*v**4 + v**3 + 7*v**k + 7 - 7 = 0?
-1, 0, 1/7, 1
Let h(q) = -39*q**2 - 6459*q - 2611496. Let o(u) = -94*u**2 - 16148*u - 6528736. Let x(c) = 12*h(c) - 5*o(c). Factor x(p).
2*(p + 808)**2
Let a(t) be the second derivative of 3/13*t**3 - 1/13*t**4 + 0 + 1/130*t**5 + 0*t**2 - 63*t. Find z such that a(z) = 0.
0, 3
Let m(x) be the third derivative of x**5/10 - 175*x**4/8 - 44*x**3 + 962*x**2. Find s, given that m(s) = 0.
-1/2, 88
Let w be (-322965)/(-28708)*((-8)/