be the second derivative of -1/6*m**3 + 13*m - 1 + 7/3*m**4 - 1/42*m**7 + 1/10*m**5 - 7*m**2 - 7/15*m**6. Determine s, given that x(s) = 0.
-14, -1, 1
Let q = -1196/9 + 5983/45. Let t(m) be the third derivative of -1/42*m**8 - 18*m**2 + q*m**5 + 0*m**3 - 1/10*m**6 + 1/6*m**4 + 0*m + 0 - 2/21*m**7. Factor t(w).
-4*w*(w + 1)**3*(2*w - 1)
Suppose -5 - 7 = -3*q. Suppose 12 = 3*s - v, 6*v - 11*v = -s + 32. Determine j so that -j**q + 1430 - 1430 - j**s + 2*j**3 = 0.
0, 1
Solve 51552*g - 256328/5 + 2/5*g**3 - 1434/5*g**2 = 0.
1, 358
Let q(i) be the second derivative of -1/12*i**4 - i**3 - 9/2*i**2 - 122*i + 0. Determine j, given that q(j) = 0.
-3
Factor 25*q**3 + 12*q**3 - 30*q**2 + 17*q**3 - 55*q**3.
-q**2*(q + 30)
Suppose -415*c - 425*c - 36 = -849*c. Let y(t) be the third derivative of 24*t**2 - 1/2*t**c + 0 + 0*t**3 + 0*t - 1/40*t**5. Suppose y(z) = 0. What is z?
-8, 0
Suppose -633*g - 10 = -5*h - 638*g, 7*g = -h - 16. Determine z, given that 0 + 42/5*z**3 - 2/5*z**h + 0*z + 36/5*z**2 + 4/5*z**4 = 0.
-3, -1, 0, 6
Let 2/11*o**3 + 4*o**2 + 192/11*o - 576/11 = 0. Calculate o.
-12, 2
Factor 36*r**2 - 30 - 573*r + 22 + 601*r.
4*(r + 1)*(9*r - 2)
Let u(v) be the second derivative of -v**5/70 - 145*v**4/2 - 147175*v**3 - 149382625*v**2 + 71*v + 16. Factor u(m).
-2*(m + 1015)**3/7
Let k(n) = n**2 + 37*n - 42. Suppose 34*a = 16*a + 72. Let i(v) = -6*v**2 - 258*v + 291. Let o(h) = a*i(h) + 27*k(h). Factor o(u).
3*(u - 10)*(u - 1)
Let b(u) be the third derivative of -u**6/150 - 362*u**5/75 - 721*u**4/30 - 48*u**3 + u**2 + 2335*u. Factor b(f).
-4*(f + 1)**2*(f + 360)/5
Let m be (3 - -37)/(-16 + 18). Let y(a) = 2*a**2 - 3*a. Let f be y(2). Factor -7*z + m - 13*z + 7*z**2 + 0*z - f*z**2.
5*(z - 2)**2
Let k be (-1338)/3122 + (-51)/(-21). Factor -138/5*w - 72/5*w**k - 68/5 - 2/5*w**3.
-2*(w + 1)**2*(w + 34)/5
Find b, given that -314/11*b**2 + 314/11*b**4 + 0 + 4/11*b**5 - 156/11*b + 152/11*b**3 = 0.
-78, -1, -1/2, 0, 1
Let g(a) = -a**2 + a - 1. Let j(d) = d + 1. Let c(w) = -g(w) - 4*j(w). Let b be c(6). Factor 38 + 16 + 36*r**2 - 10 - 4*r**b - 108*r + 64.
-4*(r - 3)**3
Let h be (520/(-72) - -7)*-9. Suppose -3 = -3*c, -h*c + 6*c - 4 = -4*x. Suppose 4/3*g**2 - 1/3*g**5 + 0*g - g**4 + 0 + x*g**3 = 0. What is g?
-2, 0, 1
Let t(g) = -3*g**3 - 213*g**2 - 3384*g + 4. Let v be t(-47). Determine f, given that 39/5*f**5 + 228/5*f + 543/5*f**3 + 48*f**v + 546/5*f**2 + 24/5 = 0.
-2, -1, -2/13
Let t(f) be the third derivative of -f**8/224 - f**7/7 - 133*f**6/80 - 37*f**5/4 - 26*f**4 - 40*f**3 + 809*f**2. Determine x so that t(x) = 0.
-10, -4, -1
Let k be -27*((-16)/12 - -1). Suppose z + 13 = 5*r, 7*z - 4*z = 5*r - k. Factor -z*h + h - 12 - 14*h + 6*h - 36*h**3 + 147*h**2.
-3*(h - 4)*(3*h - 1)*(4*h + 1)
Let u = 958 - 956. Factor -3*c**2 + 7*c**u - 284 + 444 - 164*c.
4*(c - 40)*(c - 1)
Let o(c) be the third derivative of 0*c**4 - 2*c + 0 + 1/420*c**6 + 1/105*c**5 - 2/735*c**7 + 0*c**3 - 1/1176*c**8 + 4*c**2. Solve o(p) = 0.
-2, -1, 0, 1
Let d(w) be the third derivative of w**5/210 + 46*w**4/7 - 21*w**2 + 119*w. Suppose d(m) = 0. Calculate m.
-552, 0
Factor 26289 - 435*v - 5*v**2 - 15334 - 16065.
-5*(v + 14)*(v + 73)
Let r(w) = -w**3 + 20*w**2 - 62*w - 28. Let s be r(16). Suppose -3*p**4 + 60*p**3 + 7*p**4 - 6*p**s + 22*p + 8 + 18*p**2 - 58*p**3 = 0. What is p?
-1, 4
Suppose s = 2 + 26. Let c be (-2)/(-7) - 8/s. Find i, given that 5 - 5 + c + 5*i**2 + 5*i = 0.
-1, 0
What is d in 5/2*d**3 - 321/2*d**2 - 261/2*d + 65/2 = 0?
-1, 1/5, 65
Let r(t) = -t**3 - 5*t**2 + 9*t + 22. Let u be r(-6). Suppose -50*z**3 - 270*z + 0 + 147 + 180*z**2 - 24*z**4 - 12 + 29*z**u = 0. What is z?
1, 3
Let x be 38/57 + (-22)/(-3). Suppose -4 = 5*n - x*n - 4*d, 0 = -d + 1. Solve n + 1/5*b**4 - 1/5*b + 3/5*b**2 - 3/5*b**3 = 0.
0, 1
Let l(c) be the third derivative of 17/15*c**5 + 1/6*c**4 - 11*c**2 + 0 - 1/30*c**6 + 0*c - 34/3*c**3. Factor l(w).
-4*(w - 17)*(w - 1)*(w + 1)
Suppose -1206*a = -1193*a. Let n(q) be the second derivative of 1/15*q**6 - 3*q + 1/5*q**5 + a*q**3 + 1/6*q**4 + 0*q**2 + 0. Factor n(g).
2*g**2*(g + 1)**2
Let f(g) be the first derivative of -g**6/120 + g**5/20 + g**4/48 - g**3/6 + 99*g - 26. Let x(q) be the first derivative of f(q). Let x(v) = 0. Calculate v.
-1, 0, 1, 4
Let m(i) = 3*i**2 + 3*i - 2. Let c be m(1). Factor a**4 + 49*a**2 - 44*a**2 + 4*a**3 + 0*a**c + 2*a.
a*(a + 1)**2*(a + 2)
Let a(f) be the first derivative of 5*f**6/2 + 353*f**5 + 4615*f**4/4 + 1715*f**3/3 - 575*f**2 - 3054. Solve a(q) = 0 for q.
-115, -2, -1, 0, 1/3
Let l(w) = 77*w + 11*w**2 + 72*w - 223 + 30*w + 19*w. Let v(a) = 5*a**2 + 100*a - 111. Let n(h) = 6*l(h) - 14*v(h). Determine x so that n(x) = 0.
-54, 1
What is i in 0*i + 12/11*i**3 - 16/11*i**2 - 2/11*i**4 + 0 = 0?
0, 2, 4
Let k(u) be the second derivative of -4*u**4/21 + 6406*u**3/21 + 1602*u**2/7 + 10689*u. Factor k(z).
-4*(z - 801)*(4*z + 1)/7
Solve 2/7*w**5 - 66/7*w + 64/7*w**3 - 4/7*w**2 + 36/7*w**4 - 32/7 = 0 for w.
-16, -1, 1
Suppose -3120 = -26*p + 10*p. Suppose -2*b = 189 - p. Factor 2*r**2 + 22/7*r + 10/7 + 2/7*r**b.
2*(r + 1)**2*(r + 5)/7
Let f be (-17 + 6 - 48/(-6)) + 7. Let q(p) be the first derivative of 0*p - 5/34*p**f - 14/85*p**5 - 4 + 0*p**2 + 4/51*p**3. Factor q(j).
-2*j**2*(j + 1)*(7*j - 2)/17
Determine v, given that 2/13*v**5 + 0 + 144/13*v**3 + 0*v + 136/13*v**2 + 42/13*v**4 = 0.
-17, -2, 0
Let n(d) be the second derivative of 80*d + 0 - 1/18*d**4 - 841/3*d**2 + 58/9*d**3. Let n(g) = 0. Calculate g.
29
Let v(j) = 3*j**3 - 794*j**2 - 1663*j - 822. Let s(x) = -x**3 + 264*x**2 + 555*x + 274. Let d(l) = 11*s(l) + 4*v(l). Factor d(c).
(c - 274)*(c + 1)**2
Factor 25*y**2 + 8*y**2 + 2*y**4 + 2*y**4 - 51*y**3 + 17*y**3 - 3*y**4.
y**2*(y - 33)*(y - 1)
Let k(m) be the second derivative of 2*m**6/15 - 2*m**5 - 37*m**4/3 + 332*m**3/3 - 240*m**2 + 25*m + 49. Let k(x) = 0. What is x?
-5, 1, 2, 12
Let q = -349 - -351. Suppose 2*p**3 - 3*p**3 - 3*p**3 - 676 + 75*p**q - 572*p + 25*p**2 = 0. Calculate p.
-1, 13
Factor 0 - 15*j + 40/3*j**4 - 5/3*j**5 - 110/3*j**3 + 40*j**2.
-5*j*(j - 3)**2*(j - 1)**2/3
Let f = 57748 - 57748. Solve 21/2*m**2 + 3/2*m**3 - 12*m + f = 0 for m.
-8, 0, 1
Find d such that -2954*d**2 - 8771/2*d - 1029 - 7/2*d**5 - 759*d**3 - 85*d**4 = 0.
-7, -3, -2/7
Let x(h) = 2*h**3 - 95*h**2 + 48*h - 47. Let a be x(47). Let u(c) be the second derivative of a*c**3 - 5/72*c**4 + 11*c + 0*c**2 + 0. What is d in u(d) = 0?
0
Let q(w) be the third derivative of 8*w**2 + 7/120*w**6 + 43/24*w**4 - 2*w**3 + 4 + 0*w - 19/30*w**5. Factor q(f).
(f - 4)*(f - 1)*(7*f - 3)
Let i(x) be the first derivative of -3*x**5/5 - 291*x**4/4 - 3213*x**3 - 134385*x**2/2 - 677994*x + 3445. Factor i(k).
-3*(k + 17)**3*(k + 46)
Solve 221/2*j - 1/6*j**4 + 43/2*j**3 + 133/3 + 527/6*j**2 = 0 for j.
-2, -1, 133
Let c(u) = -15*u**3 - 335*u**2 + 355*u + 5. Let m(g) = -g**4 + 16*g**3 + 335*g**2 - 354*g - 4. Let x(v) = 4*c(v) + 5*m(v). Determine h, given that x(h) = 0.
-7, 0, 1, 10
Suppose 1 = -4*u + 6*d - 9*d, -4*u + 20 = -4*d. Let h(y) be the second derivative of -4*y**3 - 4*y**u - 13/6*y**4 - 1/15*y**6 + 0 + 6*y - 3/5*y**5. Factor h(m).
-2*(m + 1)**2*(m + 2)**2
Let t(b) be the third derivative of -b**6/40 + 9*b**5/5 + 39*b**4/8 - 37*b**3 + 2*b**2 + 8769. Solve t(a) = 0.
-2, 1, 37
Let u(o) be the first derivative of o**3/9 - 865*o**2/3 + 748225*o/3 + 877. Factor u(p).
(p - 865)**2/3
Factor 61*r**2 + 63*r + 8*r**3 - 33*r - r**4 + 22*r.
-r*(r - 13)*(r + 1)*(r + 4)
Let u(t) be the first derivative of -4/3*t**3 + 0*t**2 - 4/5*t**5 + 2*t**4 + 0*t - 35. Factor u(z).
-4*z**2*(z - 1)**2
Let p be (-16)/(-104) - 553/(-546). Determine v, given that 4/3*v - 1/6*v**3 - p*v**2 + 0 = 0.
-8, 0, 1
Let v(m) be the third derivative of -m**5/240 + 619*m**4/48 - 383161*m**3/24 + 20*m**2 - m + 18. Find c such that v(c) = 0.
619
Let t(f) be the second derivative of -f**5/20 - 31*f**4/12 - 55*f**3/6 + 87*f**2/2 + 13*f - 7. Suppose t(p) = 0. What is p?
-29, -3, 1
Let j(z) = 54*z**3 + 4722*z**2 + 310455*z - 209088. Let k(a) = 25*a**3 + 2362*a**2 + 155228*a - 104544. Let q(t) = -4*j(t) + 9*k(t). Factor q(n).
3*(n + 132)**2*(3*n - 2)
Let o(c) be the first derivative of -c**4/14 - 2*c**3/21 + 9*c**2/7 + 18*c/7 + 916. Factor o(n).
-2*(n - 3)*(n + 1)*(n + 3)/7
Let a(y) be the third derivative of 0*