2/3*s**5 - 10/3*s**2 + 0 + 2/3*s**4.
-2*s*(s - 1)**3*(s + 2)/3
Let t(d) = -4*d**2 + 104*d - 676. Let k(q) = 2*q**2 - 52*q + 338. Let m(c) = 7*k(c) + 3*t(c). Factor m(n).
2*(n - 13)**2
Let v(y) be the second derivative of y**5/120 - y**4/9 + 17*y**3/36 - 5*y**2/6 + 111*y. Solve v(f) = 0.
1, 2, 5
Let a(r) = r**2. Let t(x) = 25*x**2 - 5*x**3 - 5 + 6*x + 10*x**2 + x - 2*x. Let k(w) = -30*a(w) + t(w). Find h such that k(h) = 0.
-1, 1
Let x be 1464/42*(-4)/120. Let i = 4/15 - x. Determine k, given that -2/7 - 20/7*k**2 - 10/7*k**4 + i*k + 2/7*k**5 + 20/7*k**3 = 0.
1
Let t(p) be the first derivative of -4*p**5/3 - 8*p**4/3 + 76*p**3/9 - 4*p**2 - 2. What is z in t(z) = 0?
-3, 0, 2/5, 1
Let o(v) be the third derivative of v**8/84 - 4*v**7/105 - 120*v**2. Factor o(j).
4*j**4*(j - 2)
Let l(c) be the first derivative of 2*c**7/315 + c**6/90 + c**5/180 - 4*c**2 + 3. Let h(i) be the second derivative of l(i). Determine n so that h(n) = 0.
-1/2, 0
Factor 0*r + 5/6*r**5 - 11/3*r**4 + 0 - 4/3*r**2 + 14/3*r**3.
r**2*(r - 2)**2*(5*r - 2)/6
Let w(p) be the first derivative of p**6/18 + 2*p**5/5 - 4*p**4/3 + 2*p**3/9 + 5*p**2/2 - 8*p/3 + 60. Factor w(g).
(g - 1)**3*(g + 1)*(g + 8)/3
Let c = -163 - -168. Let m be 4 + (2/c - 27/(-45)). Factor 0*l**4 + 0*l**2 + 2/3*l + 2/3*l**m + 0 - 4/3*l**3.
2*l*(l - 1)**2*(l + 1)**2/3
Solve 37*v**2 - 16/3 + 77/3*v**3 + 6*v = 0 for v.
-1, -8/11, 2/7
Solve 16*p - 10*p**2 + 11*p**4 + 4 - 5*p**2 + 1530*p**5 - 25*p**3 - 1521*p**5 = 0.
-2, -1, -2/9, 1
Factor -2/9*x**3 - 16/3*x + 0 + 20/9*x**2.
-2*x*(x - 6)*(x - 4)/9
Suppose -4*o + 90 = -o. Suppose r - 6 = -r - 2*s, -4*r = -5*s - o. Suppose -k**2 + 3*k**2 + 0*k**4 - 3*k**2 + 3*k**3 + k**r - 3*k**4 = 0. Calculate k.
0, 1
Let b(t) = t**4 - t**2. Let x(u) = 2*u**5 + 17*u**4 + 60*u**3 + 83*u**2 + 50*u + 12. Let p(f) = -3*b(f) - x(f). Let p(j) = 0. Calculate j.
-6, -1
Let r(i) = i**2 - 12*i + 13. Let p be r(11). Let q be -17 - -22 - (p + 1). Factor 3/4*t**3 + 3/4 + 9/4*t**q + 9/4*t.
3*(t + 1)**3/4
Let h(q) be the third derivative of q**5/60 + q**4/18 + q**3/18 + 3*q**2 + 1. Factor h(w).
(w + 1)*(3*w + 1)/3
Let x = -19246 - -19248. Let -1/3*d**x + 0*d + 4/3 = 0. What is d?
-2, 2
Suppose 3*d - 5*d = -4. Suppose -3*w - 7*i - 4 = -3*i, -5*w = -d*i - 28. Find a such that 0*a + 2/7*a**3 + 2/7*a**w + 0*a**2 + 0 = 0.
-1, 0
Let l be (-3)/6 - 1/(-2). Let t(c) be the second derivative of l*c**4 + 1/100*c**5 - 1/5*c**2 + 0 - 1/10*c**3 - 10*c. Factor t(v).
(v - 2)*(v + 1)**2/5
Let p = 825/2 - 412. Let i(w) be the first derivative of p*w + 3/4*w**2 - 1 + 5/24*w**3. Factor i(z).
(z + 2)*(5*z + 2)/8
Let u(x) = -x**2 + 4*x + 60. Let n be u(-6). Let h(g) be the second derivative of 0*g**2 + 7*g + 7/4*g**4 + n - g**3. Let h(b) = 0. Calculate b.
0, 2/7
Suppose -7/2*j + 3*j**2 - 5 = 0. What is j?
-5/6, 2
Suppose 4*m - 36*j + 41*j - 18 = 0, 0 = m - 3*j + 4. Let y(t) be the second derivative of 0*t**3 + t + 0*t**m - 1/10*t**5 + 0 + 1/3*t**4. Factor y(v).
-2*v**2*(v - 2)
Let u(k) be the first derivative of k**4/4 + 4*k**3/3 - 62. Factor u(w).
w**2*(w + 4)
Let n(p) be the third derivative of p**4/24 - 5*p**3/6 + 3*p**2. Let r be n(8). Let 9*x + 4*x**2 - 2*x**3 + 4*x**r + 4*x**2 - x = 0. What is x?
-2, 0
Let a = -74 + 76. Let m(n) be the second derivative of -1/30*n**5 + 0*n**4 + 0 + 1/9*n**3 + 0*n**a + 2*n. Factor m(p).
-2*p*(p - 1)*(p + 1)/3
Let o = 18 - 14. Factor -14*q**4 - 9*q**3 + 27*q**2 + 2*q**4 - 3*q**5 - 3*q**o.
-3*q**2*(q - 1)*(q + 3)**2
Let o(c) be the first derivative of c**4/3 + 2*c**3/3 - 4*c**2 - 38*c - 45. Let d(s) be the first derivative of o(s). Find w such that d(w) = 0.
-2, 1
Factor 18*i**2 - 5*i**3 + 8 - 4*i**3 - 2*i**4 - 6*i**3 + 22*i + 17*i**3.
-2*(i - 4)*(i + 1)**3
Let p(o) be the first derivative of 2*o**5/45 - o**4/3 - 74*o**3/27 - 10*o**2/3 - 269. Solve p(y) = 0 for y.
-3, -1, 0, 10
Let i(w) be the first derivative of w**5 - 15*w**4/4 + 10*w**2 + 70. What is r in i(r) = 0?
-1, 0, 2
Let r(f) be the first derivative of -8*f**3/33 - 4*f**2/11 - 2*f/11 - 34. Let r(u) = 0. What is u?
-1/2
Let n(s) = -4*s**2 - 26*s - 37. Let c be n(-4). Solve -a**c + a - 1/2*a**4 + 1/2 + 0*a**2 = 0.
-1, 1
Let k = 866 - 864. Let b(u) be the first derivative of 2*u**3 + 21/5*u**5 + 27/4*u**4 - 2 + 0*u**k + 0*u. Factor b(p).
3*p**2*(p + 1)*(7*p + 2)
Let t(d) = 2*d**2 + 2. Let r(g) = g**4 - 8*g**3 - 3*g**2 + 6. Let v(a) = 2*r(a) - 6*t(a). Factor v(p).
2*p**2*(p - 9)*(p + 1)
Let m = 2445 + -117355/48. Let p = m + 71/240. Suppose p*t + 3/5*t**2 + 0 + 1/5*t**3 = 0. Calculate t.
-2, -1, 0
Let o(t) be the second derivative of t**4/60 + 2*t**3/15 - t**2/2 - 5*t - 11. Factor o(q).
(q - 1)*(q + 5)/5
Let y(c) be the third derivative of c**5/120 - 2*c**4/3 + 31*c**3/12 - 65*c**2 + c. Factor y(u).
(u - 31)*(u - 1)/2
Suppose 339*d = 325*d + 56. Factor 1/8*t**3 - 1/8*t + 1/8*t**2 + 0 - 1/8*t**d.
-t*(t - 1)**2*(t + 1)/8
Let a(c) be the second derivative of -c**7/21 - 2*c**6/5 - 4*c**5/5 + c**4 + 3*c**3 + c - 93. Determine n, given that a(n) = 0.
-3, -1, 0, 1
Let d(z) be the second derivative of z**6/1980 + z**5/66 + 25*z**4/132 - z**3/2 - 7*z. Let n(a) be the second derivative of d(a). Let n(y) = 0. Calculate y.
-5
Let u(b) = b**5 - 86*b**3 + 4*b**2 + 413*b + 4. Let z(p) = -2*p**5 + 87*p**3 - 3*p**2 - 411*p - 3. Let q(d) = 3*u(d) + 4*z(d). Determine a, given that q(a) = 0.
-3, 0, 3
Factor 511 + 16*y + 7*y + y**2 + 510 - 1021.
y*(y + 23)
Let x = -1624 + 1626. Factor n**4 - 15/4*n**3 - 3/4*n - 1/2 + 4*n**x.
(n - 2)*(n - 1)**2*(4*n + 1)/4
Let g(r) = r**2 - r - 7. Let c(z) = 7*z**2 - 293*z + 10333. Let h(a) = c(a) - 5*g(a). Solve h(p) = 0 for p.
72
Let j(s) be the first derivative of s**5/35 + 5*s**4/42 - 4*s**3/21 + 3*s**2 - 3. Let i(w) be the second derivative of j(w). Factor i(x).
4*(x + 2)*(3*x - 1)/7
Suppose 8*c - 234 = 46. Suppose 2 = -34*k + c*k. Factor 0*l + 0 + 6/7*l**3 + 2/7*l**k + 6/7*l**4 + 2/7*l**5.
2*l**2*(l + 1)**3/7
Let v(x) be the first derivative of 2*x**3/39 - 88*x**2/13 + 3872*x/13 - 111. Factor v(y).
2*(y - 44)**2/13
Factor 768/5 - 864/5*c - 3/5*c**3 + 99/5*c**2.
-3*(c - 16)**2*(c - 1)/5
Let v(u) be the second derivative of 5*u**4/12 - 32*u**3/3 + 361*u**2/2 - 11*u. Let d(r) = -r**2 - r + 1. Let t(y) = 2*d(y) + v(y). Find w, given that t(w) = 0.
11
Let t(s) = s**2 + 2*s - 5. Let o be t(-4). Solve 13*j**3 - 12*j**2 + 16*j**3 - 20 + 16*j - 25*j**o - 52*j = 0 for j.
-1, 5
Let b(s) = -3*s**3 + 10*s**2 + 4. Let v(d) = 4*d**3 - 11*d**2 - 5. Let n(g) = -7*b(g) - 6*v(g). Let m(o) = o**2 + o + 1. Let w(y) = m(y) - n(y). Factor w(k).
(k + 1)**2*(3*k - 1)
Let s(c) be the first derivative of 6*c**5/5 + 13*c**4/2 - 58*c**3/9 + 5*c**2/3 - 41. What is v in s(v) = 0?
-5, 0, 1/3
Let j = 0 + 1/2. Let v be 5 - ((-154)/4)/(-11). Find p such that v*p**2 + 3/2*p**3 + j*p**4 + 0 + 1/2*p = 0.
-1, 0
Let s(f) be the third derivative of -f**8/26880 - f**7/3360 + f**6/320 - 5*f**5/12 - 7*f**2. Let i(y) be the third derivative of s(y). Let i(j) = 0. What is j?
-3, 1
Let o(h) be the second derivative of 1/50*h**5 + 1/5*h**3 - 23*h + 1/5*h**2 + 1/10*h**4 + 2. Suppose o(n) = 0. Calculate n.
-1
Suppose -21*k**2 + 8*k + 32*k**2 + 13*k**2 + 6*k**4 + 22*k**3 = 0. What is k?
-2, -1, -2/3, 0
Let f = 901/3 - 2701/9. Factor f - 1/9*o + 1/9*o**3 - 2/9*o**2.
(o - 2)*(o - 1)*(o + 1)/9
Let y(v) = 3*v**2 - 1. Let m be y(3). Let o = m + -20. Factor 2*k**3 - 4*k - 4*k**3 + o*k**2 + 6*k - 2*k**4 - 4.
-2*(k - 1)**2*(k + 1)*(k + 2)
Factor 1/3*r**3 - 2*r**2 - 7/3*r + 0.
r*(r - 7)*(r + 1)/3
Factor 0 - 2/9*k**5 + 10/9*k**4 + 46/9*k**2 + 16/9*k + 14/3*k**3.
-2*k*(k - 8)*(k + 1)**3/9
Let p(j) be the first derivative of j**5/50 - j**4/15 - 4*j**3/15 - 5*j**2 + 13. Let a(i) be the second derivative of p(i). Factor a(s).
2*(s - 2)*(3*s + 2)/5
Let f(k) = -25*k**3 + 31*k**2 - 25*k - 57. Let d(p) = 43*p**3 - 61*p**2 + 51*p + 115. Let u(y) = 3*d(y) + 5*f(y). Factor u(h).
4*(h - 5)*(h - 3)*(h + 1)
Let s(y) = -y**3 - 6*y**2 - 4*y - 6. Let n be s(-5). Let j = -7 - n. Determine h so that -j*h + 2*h + h**2 + 4*h = 0.
-2, 0
Let x = -473 - -473. Let w(z) be the first derivative of 0*z**4 + 1/6*z**6 - 3 + 0*z + 0*z**2 - 2/5*z**5 + x*z**3. Let w(b) = 0. What is b?
0, 2
Suppose -5*a + 4*x = -19, -x = -0*x + 1. Let l(r) be the third derivative of -1/12*r**a + 0*r + r**2 + 1/48*r**