Let i(k) be the first derivative of 0*k - 2 + 3/4*k**4 + 0*k**2 + 2*k**j. Determine g, given that i(g) = 0.
-2, 0
Factor -4/7*d**2 + 6/7 - 2/7*d.
-2*(d - 1)*(2*d + 3)/7
Let m(z) be the second derivative of -5/6*z**4 - 36*z + 8/3*z**3 + 1/10*z**5 + 0 - 4*z**2. Factor m(s).
2*(s - 2)**2*(s - 1)
Let s(z) be the third derivative of 0*z + 12*z**2 + 0*z**3 - 1/480*z**6 + 0*z**4 + 0 + 1/120*z**5. Factor s(j).
-j**2*(j - 2)/4
Let d(v) = -v**2 + 8*v + 2. Let b be d(8). Let 7*s**2 - 7*s**2 - 9*s**b + 5*s + 3*s**3 + s = 0. Calculate s.
0, 1, 2
Suppose -22*p + 17 = -26*p + 5*t, -3*t = -15. Determine d so that d - 1/2 - 1/2*d**p = 0.
1
Let i(s) be the first derivative of 2*s**3/33 - 14*s**2/11 - 64*s/11 - 110. Factor i(b).
2*(b - 16)*(b + 2)/11
Let h(x) = 4*x**3 + 4*x**3 - 4 - 14*x**3 + 3*x**3 - 8*x - 3*x**2. Let m(w) = -7*w**3 - 5*w**2 - 16*w - 8. Let v(t) = 5*h(t) - 2*m(t). Let v(d) = 0. Calculate d.
-2, -1
Factor -6/11 + 116/11*q**2 + 10*q.
2*(q + 1)*(58*q - 3)/11
Let z(u) be the second derivative of 0 - 1/480*u**6 - u + 0*u**3 + 0*u**5 + 0*u**4 - 1/840*u**7 - u**2. Let q(h) be the first derivative of z(h). Factor q(o).
-o**3*(o + 1)/4
Let d be 20 + 18/((-15)/15). Determine i, given that -8/15*i + 2/15*i**4 + 2/5*i**d - 8/15 + 8/15*i**3 = 0.
-2, -1, 1
Let a = -27791/36 + 772. Let h(y) be the third derivative of 1/90*y**5 + 0*y + a*y**4 + y**2 - 2/9*y**3 + 0. Suppose h(w) = 0. What is w?
-2, 1
Let s(i) be the first derivative of i**3/8 - 33*i**2/8 - 18*i - 204. Suppose s(q) = 0. What is q?
-2, 24
Let f(u) = -7*u. Let y(j) = 3*j. Let i(c) = -4*f(c) - 9*y(c). Let m be i(5). Factor -k**5 + k**5 + 2*k**m.
2*k**5
Let r(w) be the second derivative of -6*w - 5/2*w**2 + 1/30*w**5 + w**3 + 0 - 1/3*w**4. Let k(z) be the first derivative of r(z). Let k(g) = 0. Calculate g.
1, 3
Let o(j) be the first derivative of 605*j**3/3 - 1540*j**2 + 3920*j - 202. Determine i so that o(i) = 0.
28/11
Let g(r) be the first derivative of 5*r**6/2 - 42*r**5/5 + 3*r**4/2 + 16*r**3 - 21*r**2/2 - 6*r - 13. Find o such that g(o) = 0.
-1, -1/5, 1, 2
Let p(q) be the third derivative of q**5/15 + 13*q**4/6 + 44*q**3/3 + 5*q**2. Factor p(f).
4*(f + 2)*(f + 11)
Let p(i) = 7*i**4 + i**3 + 9*i**2 + 21*i - 6. Let k(d) = -13*d**4 - d**3 - 17*d**2 - 40*d + 11. Let b(j) = -6*k(j) - 11*p(j). Factor b(a).
a*(a - 3)**2*(a + 1)
Find v such that 300 + 4/3*v**2 + 104*v = 0.
-75, -3
Let o(p) be the second derivative of 5*p**7/42 - 5*p**6/3 + 7*p**5 - 10*p**4 + 5*p - 20. Factor o(m).
5*m**2*(m - 6)*(m - 2)**2
Let w be -1*3 + -4 + 29. Let o = -22 + w. Factor -2/3*n**3 + 1/3*n + 1/3*n**5 + 0*n**2 + o + 0*n**4.
n*(n - 1)**2*(n + 1)**2/3
Suppose -33*j - 12426 = -14208. Factor 2/3*c**2 + j + 12*c.
2*(c + 9)**2/3
Let l(z) = -27*z**2 + 261*z + 93. Let i be l(10). Solve 8/3*c + 0 - 1/3*c**i + 2/3*c**2 = 0.
-2, 0, 4
Solve 2/3*w - 1/3*w**3 - w**4 + w**2 + 0 - 1/3*w**5 = 0 for w.
-2, -1, 0, 1
Factor -10/9*s - 16/3 + 2/9*s**2.
2*(s - 8)*(s + 3)/9
Let b(k) be the second derivative of -1/96*k**4 + 1/48*k**3 + 1/240*k**6 + 0*k**2 - 24*k - 1/160*k**5 + 0. Factor b(p).
p*(p - 1)**2*(p + 1)/8
Let x = 176/315 + -4/35. Let f(y) be the third derivative of 1/9*y**4 + y**2 + x*y**3 + 1/90*y**5 + 0*y + 0. Factor f(q).
2*(q + 2)**2/3
Let g(n) be the second derivative of -n**9/7560 + n**8/1120 - n**7/630 + 7*n**4/12 - 19*n. Let v(x) be the third derivative of g(x). Let v(b) = 0. Calculate b.
0, 1, 2
Let k(w) be the second derivative of 0 + 1/84*w**4 + 1/14*w**2 - 20*w + 1/21*w**3. Factor k(v).
(v + 1)**2/7
Let t(a) be the first derivative of 0*a**2 - 4/5*a**5 - 5/2*a**4 - 4/3*a**3 + 0*a - 12. Factor t(h).
-2*h**2*(h + 2)*(2*h + 1)
Suppose -2*m + m = 0. Let s(w) = w**2 + 2*w + 47. Let f be s(m). Determine l, given that -8*l**3 + 4*l + 47 - f + 4*l**5 = 0.
-1, 0, 1
Determine t so that 264/7*t + 2/7*t**3 - 72/7*t**2 - 256/7 = 0.
2, 32
Let l(z) be the first derivative of 245*z**4/4 + 7490*z**3/3 + 2110*z**2 + 600*z - 430. Determine b, given that l(b) = 0.
-30, -2/7
Let r(p) be the first derivative of 1/2*p**4 + 20*p + 30 + 17*p**2 + 16/3*p**3. What is u in r(u) = 0?
-5, -2, -1
Let n be (90/(-20))/(3/(-2)). Let a(h) be the second derivative of 1/5*h**n + 0 + 0*h**2 + 3/100*h**5 - 2*h - 3/20*h**4. Factor a(v).
3*v*(v - 2)*(v - 1)/5
Let z(f) be the second derivative of 9*f**8/15680 + f**7/980 + f**6/1680 - 17*f**4/6 + 37*f. Let n(y) be the third derivative of z(y). Solve n(m) = 0 for m.
-1/3, 0
Let f = 91 - 214. Let i = 125 + f. What is s in 8*s + 8/9 + 18*s**i = 0?
-2/9
Let c = 36 - 20. Suppose c = 4*f + 2*d, 5*f = 3*d - d + 11. Solve 2*x**2 + 2*x**2 + 5*x**f - 3*x**4 + x**3 + 5*x**4 = 0 for x.
-2, -1, 0
Let s(q) be the second derivative of -q**7/315 + q**6/75 + q**5/15 + q**4/45 - q**3/5 - q**2/3 + 2*q + 51. What is j in s(j) = 0?
-1, 1, 5
Suppose j - 3*j - 46 = 3*v, 5*j = -3*v - 34. Let l be 1*(-3)/(-8) - v/80. Find i, given that l*i - 9/5 + 14/5*i**2 - i**4 - 1/5*i**5 - 2/5*i**3 = 0.
-3, -1, 1
Suppose o + 75 = -o + 5*s, -5*o - s = 201. Let l be ((-20)/o)/(-1 - (-10)/4). Find f, given that 0 + 1/3*f**3 + 2/3*f**2 + l*f = 0.
-1, 0
Suppose 0 - 2/3*f**4 - 19494*f**2 + 0*f + 228*f**3 = 0. Calculate f.
0, 171
Let n(k) = -3*k**3 + 128 + 24*k**2 + 3*k**3 - 101*k + 3*k**3. Let x(v) = -40*v**3 - 8*v + 7*v + 77*v**3 - 36*v**3. Let w(r) = -n(r) + 5*x(r). Factor w(s).
2*(s - 4)**3
Find b such that -b + 15/8 + 1/8*b**2 = 0.
3, 5
Let h(t) be the second derivative of t**9/2268 - t**8/315 + t**7/210 + 5*t**3 + 21*t. Let y(c) be the second derivative of h(c). Factor y(u).
4*u**3*(u - 3)*(u - 1)/3
Let u(y) be the first derivative of 0*y**2 + 1 + 0*y - 5/4*y**4 - 5/3*y**3. Determine d, given that u(d) = 0.
-1, 0
Let x(h) be the second derivative of 3*h**2 - 21/4*h**4 + 12*h + 0 + 1/2*h**3. Determine g so that x(g) = 0.
-2/7, 1/3
Suppose -3*h + 5*s + 47 = 0, 0 - 4 = 4*s. Suppose 0 = 4*y - 0*y - 20. Factor 11*d**y - 6*d**3 - h*d**5 - 3*d**3 + 3*d**2 + 9*d**4.
-3*d**2*(d - 1)**3
Let y(r) be the first derivative of r**5 + 5*r**2 + 0*r - 5/3*r**3 + 19 - 5/2*r**4. Find f such that y(f) = 0.
-1, 0, 1, 2
Let z(o) = -6*o**2 + 135*o - 165. Let q(i) = -3*i**2 + 68*i - 81. Let l(h) = -9*q(h) + 4*z(h). Find c, given that l(c) = 0.
1, 23
Let -4 - 20/3*x + 2*x**3 + 1/3*x**4 - x**2 = 0. What is x?
-6, -1, 2
Let v(p) be the second derivative of p**6/30 - 47*p**5/10 + 1909*p**4/12 + 2350*p**3 + 11250*p**2 + 2*p + 151. Factor v(j).
(j - 50)**2*(j + 3)**2
Let d(o) be the second derivative of 8*o - 6*o**5 + 47/6*o**4 + 0 + 2*o**2 - 16/3*o**3 + 15/8*o**6. Factor d(u).
(3*u - 2)**2*(5*u - 2)**2/4
Determine j, given that 4/5*j**4 - j - 2/5 + 1/5*j**5 - 2/5*j**2 + 4/5*j**3 = 0.
-2, -1, 1
Let b = -108 - -108. Factor 7*r**4 + b*r**5 + r**3 - 8*r**2 + r**3 + 7*r**2 + 4*r**5.
r**2*(r + 1)**2*(4*r - 1)
Determine i so that 84*i + 15/2*i**5 + 48 + 51/2*i**4 - 114*i**2 - 51*i**3 = 0.
-4, -2, -2/5, 1, 2
Suppose 381*r = 374*r. Let o(j) be the second derivative of 0*j**2 + 3/20*j**5 - 2/3*j**3 + 9*j + 0*j**4 + r - 1/30*j**6. Factor o(c).
-c*(c - 2)**2*(c + 1)
Let x(y) be the third derivative of -5/6*y**4 + 0*y - 30*y**2 + 1/60*y**5 + 50/3*y**3 + 0. Solve x(z) = 0 for z.
10
Factor -376*w - 17*w**2 + 19*w**2 + 368*w.
2*w*(w - 4)
Suppose 0 = 9*w + 1118 - 1163. Let k(t) be the second derivative of 1/168*t**7 + 7*t + 0*t**6 + 1/24*t**3 + 0*t**4 - 1/40*t**w + 0 + 0*t**2. Factor k(l).
l*(l - 1)**2*(l + 1)**2/4
Let f(l) = -l**3 + 4*l**2 + 4*l - 12. Let v be f(4). Solve 25*m**2 - 10*m + 39*m**5 - 12*m**5 - 12*m**5 - 25*m**v - 5*m**3 = 0.
-1, 0, 2/3, 1
Let j(c) be the second derivative of -c**4/6 + c**3 - 2*c**2 + 7*c + 9. Suppose j(i) = 0. What is i?
1, 2
Let t(i) be the first derivative of i**6/6 + i**5 + 3*i**4/4 - 5*i**3/3 - 2*i**2 + 63. Determine v, given that t(v) = 0.
-4, -1, 0, 1
Let w(y) be the second derivative of 2*y**6/15 - 5*y**5/2 + 11*y**4/6 + 4*y**3 + 140*y. Factor w(q).
2*q*(q - 12)*(q - 1)*(2*q + 1)
Let x(z) be the third derivative of z**6/180 + z**5/45 - 7*z**4/3 - 40*z**3 + 4*z**2 - 47. Solve x(w) = 0.
-6, 10
Let k be 2*(2 + -2 - 4/(-8)). Let t be ((-72)/(-60))/(2/5) - k. Factor -3/2*r**t + 0*r**3 + 0 + 1/2*r**4 - r.
r*(r - 2)*(r + 1)**2/2
Let l(u) be the third derivative of -u**5/180 - u**4/9 + u**3/2 - 297*u**2. Determine r, given that l(r) = 0.
-9, 1
Factor 8*n**4 + 2*n