e the third derivative of 2/245*f**7 + 28*f**2 + 0*f + 1/56*f**6 + 1/784*f**8 + 0*f**4 + 0 + 0*f**3 + 1/70*f**5. Determine o, given that h(o) = 0.
-2, -1, 0
Let f be 100/(-2625)*(3/(-84))/1. Let z(k) be the third derivative of -1/84*k**4 + 0*k**3 - 1/210*k**5 + f*k**7 + 0 + 0*k - 2*k**2 + 1/420*k**6. Solve z(p) = 0.
-1, 0, 1
Let p(w) be the third derivative of -w**6/420 + 16*w**5/35 - 256*w**4/7 + 32768*w**3/21 + 34*w**2. What is t in p(t) = 0?
32
Let h(u) = -3*u**2 - u. Let p(m) = 2*m**2 + m. Let l(a) = 4*a**2 + 19*a - 2. Let i be l(-5). Let v(k) = i*h(k) + 5*p(k). Factor v(q).
q*(q + 2)
Let 2*t**2 + 0 + 0*t - 2/3*t**4 + 4/3*t**3 = 0. Calculate t.
-1, 0, 3
Factor -18*c - c**2 + 12 + 28 - 21.
-(c - 1)*(c + 19)
Let k be (-1430)/364 - (0/(-1) - 4). Let o(x) be the first derivative of -8/7*x - k*x**4 + 2/7*x**3 + 0*x**2 - 3. Factor o(l).
-2*(l - 2)**2*(l + 1)/7
Let o = -13999/240 + 175/3. Let y(b) be the third derivative of -7*b**2 + 0*b**3 + 0*b**5 + 1/1260*b**7 - 1/36*b**4 + o*b**6 + 0*b + 0. Factor y(k).
k*(k - 1)*(k + 2)**2/6
Let u(i) be the third derivative of i**5/15 - 13*i**4/3 + 50*i**3/3 - i**2 - 40*i. Factor u(m).
4*(m - 25)*(m - 1)
Let t = 11 - 11. Suppose t = -l - 7 + 8. Factor v**3 + 0*v**2 - v + 1 - v**2 + l - 1.
(v - 1)**2*(v + 1)
Let j(i) = 6084*i**2 - 602*i + 27. Let g(u) = 1521*u**2 - 150*u + 7. Let z(t) = 22*g(t) - 6*j(t). Factor z(h).
-2*(39*h - 2)**2
Let h(s) be the first derivative of s**6/3 + 22*s**5/5 + 45*s**4/2 + 54*s**3 + 54*s**2 + 27. Determine q so that h(q) = 0.
-3, -2, 0
Let t be (-3)/((-945)/228) - 4/(-30). Factor 0*o**2 + 0 - t*o**4 + 2/7*o**3 + 0*o - 8/7*o**5.
-2*o**3*(o + 1)*(4*o - 1)/7
Let d(p) be the first derivative of -2/25*p**5 + 2/15*p**3 - 5 + 1/5*p**6 + 0*p + 2/5*p**2 - 1/2*p**4. Suppose d(o) = 0. What is o?
-1, -2/3, 0, 1
Suppose -5 = 3*w + 7. Let i = -2 - w. Factor -x + 4*x + 3*x + 2*x**i + 4.
2*(x + 1)*(x + 2)
Let z(n) be the third derivative of -n**5/240 + 7*n**4/96 - n**3/4 + 7*n**2 - 33. What is p in z(p) = 0?
1, 6
Let w(a) be the third derivative of a**8/112 + a**7/35 - a**6/10 - a**5/10 + 3*a**4/8 + 12*a**2 + 3. Factor w(v).
3*v*(v - 1)**2*(v + 1)*(v + 3)
Let p(v) = 10*v**3 + 5*v**2 + v. Let i(y) = -92*y**3 - 44*y**2 - 8*y. Let r(k) = 3*i(k) + 28*p(k). Factor r(z).
4*z*(z + 1)**2
Let a(y) be the second derivative of y**6/72 - y**5/4 - 10*y**4/3 + y**3/6 + 8*y**2 - 33*y. Let s(i) be the second derivative of a(i). Let s(n) = 0. What is n?
-2, 8
Let c(b) = b - 36. Let o be c(38). Suppose -j + 2*j + 18 = 4*k, -2*k + 4 = 2*j. Factor 3/2*a**k + 1/2*a**5 + 0*a + 0 + 3/2*a**3 + 1/2*a**o.
a**2*(a + 1)**3/2
Let x = -409 + 414. Let r(a) be the second derivative of 4*a - 2/5*a**2 - 3/50*a**x + 1/30*a**4 + 1/5*a**3 + 1/75*a**6 + 0. Factor r(c).
2*(c - 2)*(c - 1)**2*(c + 1)/5
Let t(n) = 9*n**3 - 57*n**2 - 73*n - 41. Let k(w) = 0*w**2 - 10 - 9*w - 3*w**2 - 4*w**2 + 5 + w**3. Let g(b) = 51*k(b) - 6*t(b). What is h in g(h) = 0?
-3, -1
Suppose -3*o = -2*o - 5*o. Suppose 0 = -3*g - h + 13, o = g - h - 2*h + 9. Solve 15/4*a**4 + 15/4*a + 15/2*a**g + 3/4*a**5 + 3/4 + 15/2*a**2 = 0.
-1
Let l be 3/4*((-484)/99)/(-11). Determine i, given that 0*i - 1/3*i**2 - 1/3*i**5 + 0 + 1/3*i**4 + l*i**3 = 0.
-1, 0, 1
Let h(n) be the third derivative of -n**5/12 - 5*n**4/4 + 3*n**2 + 7. Solve h(u) = 0 for u.
-6, 0
Let d be (0/(-2)*(-29)/145)/(4/4). Determine s, given that 1/3*s**3 - 4/3*s**2 + 4/3*s + d = 0.
0, 2
Let h = -910 + 918. Factor h - 60*f**3 + 92*f**2 - 48*f + 25/2*f**4.
(f - 2)**2*(5*f - 2)**2/2
Factor -6 - 5*r**2 + 16 - 8 + 3*r**2.
-2*(r - 1)*(r + 1)
Let h(j) = 2*j**3 - 23*j**2 - 13*j + 16. Let s be h(12). Factor s*v + 2*v**2 - 3 + 7 - 6*v - 4*v.
2*(v - 2)*(v - 1)
Determine p so that 136/5*p**2 - 28/5 + 22/5*p**3 - 26*p = 0.
-7, -2/11, 1
Let h be -1 + 78/4 + -33 + 28. Let r(z) be the first derivative of -11*z**3 - 3/10*z**5 - 18*z**2 - h*z + 9 - 3*z**4. Let r(v) = 0. Calculate v.
-3, -1
Let n = -2116 - -2116. Let m(s) be the third derivative of -12*s**2 - 11/40*s**6 + 0 + 0*s**4 + n*s**3 + 0*s + 1/5*s**7 + 1/10*s**5. What is f in m(f) = 0?
0, 2/7, 1/2
Let m(j) be the second derivative of 0*j**2 - 1/96*j**4 - 1/160*j**5 + 0 - 8*j - 5/3*j**3 + 1/360*j**6. Let g(c) be the second derivative of m(c). Factor g(o).
(o - 1)*(4*o + 1)/4
Factor 9 + 3/4*q**2 + 21/4*q.
3*(q + 3)*(q + 4)/4
Let z(f) be the first derivative of -3*f**3/7 + 93*f**2/14 + 66*f/7 - 326. Determine c so that z(c) = 0.
-2/3, 11
Let h(w) be the third derivative of 0*w**7 - 1/70*w**5 + 0*w + 3/56*w**4 - 1/70*w**6 + 0 + 1/7*w**3 + 1/784*w**8 - 20*w**2. Solve h(d) = 0.
-1, 1, 2
Let h(c) be the third derivative of -5*c**8/336 - c**7/3 - c**6/2 + 7*c**5/6 + 65*c**4/24 + 183*c**2 + c. Solve h(k) = 0 for k.
-13, -1, 0, 1
Let 0*k + 64/7 - 12/7*k**2 + 2/7*k**3 = 0. Calculate k.
-2, 4
Suppose 3*t + 18 = 6*k, -2*k + 6 = 3*t - 8. Solve 0 - 9/5*m**3 + 7/5*m**2 - 2/5*m + m**k - 1/5*m**5 = 0 for m.
0, 1, 2
Determine u so that -2743*u**2 - 12*u**5 - 4*u**3 - 11*u**4 + 2743*u**2 + 27*u**4 = 0.
0, 1/3, 1
Let a(o) be the first derivative of o**3/9 + 8. Suppose a(b) = 0. Calculate b.
0
Let g be (-4)/3 + (-1040)/(-195). Let b(p) be the second derivative of 7/2*p**3 - 5*p + 3/2*p**2 + 3*p**g + 0. Factor b(r).
3*(3*r + 1)*(4*r + 1)
Let w = 134 - 401/3. Let f = 8/15 - w. Suppose 0 + f*p + 1/5*p**2 = 0. What is p?
-1, 0
Let t = 1102/759 - 30/253. Factor 0 + 8/3*g + t*g**3 + 4*g**2.
4*g*(g + 1)*(g + 2)/3
Let t = 13556/3 + -4516. Suppose -2/3*z**5 + 4/3 - 8/3*z**4 + 10/3*z - t*z**3 + 4/3*z**2 = 0. What is z?
-2, -1, 1
Let k(m) = 5*m**2 + 6*m - 2. Let d(x) = 6*x**2 + 3*x - 3. Let q(u) = -2*d(u) + 3*k(u). What is i in q(i) = 0?
-4, 0
Let a be 23/(-2) - 2904/(-242). Factor 0 - a*x**2 + 0*x + 3/4*x**3 - 1/4*x**4.
-x**2*(x - 2)*(x - 1)/4
Suppose -k - 3*p - 4 = 0, -1494*k - 2*p + 2 = -1491*k. Factor 6/5*y + 4/3*y**k - 2/15.
2*(y + 1)*(10*y - 1)/15
Factor 15842/15 + 2/15*z**2 + 356/15*z.
2*(z + 89)**2/15
Let j(y) be the third derivative of 4*y**7/105 - 19*y**6/30 + 7*y**5/15 + 19*y**4/6 - 6*y**3 + 410*y**2. Suppose j(c) = 0. Calculate c.
-1, 1/2, 1, 9
Suppose 3*u = -5 + 14. Suppose 13*b = 19 + 20. Factor 3*p - 22*p**u + 20*p**b - p.
-2*p*(p - 1)*(p + 1)
Let t = 41 - 122/3. Let l be 4 + 3 - (100/10 + -5). Suppose -t*d**4 + 1/3*d - d**l + 0 + d**3 = 0. What is d?
0, 1
Let w(n) be the second derivative of -1/15*n**4 - 4/5*n**2 - 3/5*n**3 + 0 + 15*n. Solve w(x) = 0 for x.
-4, -1/2
Let y = -214/371 - 48970/371. Let p = y - -133. Find q such that -3/7*q**3 + 3/7*q - p*q**2 + 3/7 = 0.
-1, 1
Suppose -4*s**4 - 3 - 102*s**2 + 81*s**2 + 15*s**3 + 0 + 13*s = 0. Calculate s.
3/4, 1
Suppose -2*f + 3*g - 8 = 0, -5*g + 16 = -0*f - 2*f. Suppose 4*q - 22 = 2*r, -r + 3*r = 3*q - 15. Factor 8*d**2 - q*d + 0*d + f*d - 7*d + 4.
4*(d - 1)*(2*d - 1)
Let y(i) = -i**3 + i**2 - 2*i + 3. Let b(g) = -2*g**3 + 18*g**2 - 12*g - 6. Let r(o) = -b(o) - 2*y(o). What is h in r(h) = 0?
0, 1, 4
Let m(d) be the first derivative of 0*d**2 - 2*d**6 + 0*d - 9/2*d**4 - d**3 - 27/5*d**5 - 11. Suppose m(k) = 0. What is k?
-1, -1/4, 0
Let 0 + 118/7*b**3 + 20/7*b - 94/7*b**2 + 6/7*b**5 - 50/7*b**4 = 0. Calculate b.
0, 1/3, 1, 2, 5
Let m(k) be the third derivative of -7*k**5/12 + 535*k**4/24 - 25*k**3 - 11*k**2 - 3. Let m(u) = 0. What is u?
2/7, 15
Let p be (36/102)/((-44)/(-374)). Let u(t) be the third derivative of -11*t**2 + 1/72*t**4 - 1/36*t**p - 1/360*t**5 + 0*t + 0. Factor u(b).
-(b - 1)**2/6
Let g(j) be the first derivative of -4/5*j**5 + 0*j**2 - 2*j**4 - 4/3*j**3 + 0*j + 10. Factor g(w).
-4*w**2*(w + 1)**2
Let f(j) be the second derivative of -j**5/45 - 5*j**4/9 + 22*j**3/9 - 34*j**2/9 + j + 93. Factor f(a).
-4*(a - 1)**2*(a + 17)/9
Let a be 122/300 + (-7)/28. Let i = a - -1/100. Factor -i*n**2 + 1/6*n + 1/3.
-(n - 2)*(n + 1)/6
Let q(g) be the first derivative of g**5/5 + 5*g**4/4 - 8*g**3/3 - 24*g**2 + 444. Solve q(a) = 0 for a.
-4, 0, 3
Let v(f) be the third derivative of 5*f**8/336 + 3*f**7/14 - 11*f**6/24 - 3*f**5/4 + 25*f**4/12 - 2*f**2 - 25. Suppose v(r) = 0. Calculate r.
-10, -1, 0, 1
Let u(n) = 15*n**2 + 7*n - 6. Let y(i) = -i. Let h(f) = -f**3 + 11*f**2 - 10*f - 1. Let p be h(10). Let d(o) = p*u(o) + 2*y(o). Factor d(a).
-3*(a + 1)*(5*a - 2)
Let q(t) be the second derivative of 0*t**2 + 0 - 1/6*t**3 - 2/45*t**5 - 4/9*