ive of -1/4*s**3 - 3/2*s**2 + 5 + 1/8*s**4 - 2*s. Let v(c) be the first derivative of p(c). Factor v(t).
3*(t - 2)*(t + 1)/2
Let k(n) be the first derivative of n**7/399 + n**6/95 - 2*n**4/57 - 21*n - 11. Let z(s) be the first derivative of k(s). Factor z(x).
2*x**2*(x - 1)*(x + 2)**2/19
Suppose -x = -0*x + z, z + 8 = 3*x. Factor 8*d + x*d**2 + 32 - 11*d + 19*d.
2*(d + 4)**2
Let d = -840 - -10927/13. Let k = -15/52 + d. Let -k*j**3 + 5/4*j**2 - 7/4*j + 3/4 = 0. Calculate j.
1, 3
Solve 15/2*p - 99/4*p**2 - 21/4*p**3 + 0 = 0 for p.
-5, 0, 2/7
Solve -2706*c**2 + 136 - 4*c - 136*c + 2710*c**2 = 0.
1, 34
Factor -2/3*a**4 + 13/9*a**3 - 4/3*a**2 + 4/9*a + 0 + 1/9*a**5.
a*(a - 2)**2*(a - 1)**2/9
Let l = -47 - -26. Let j = -17 - l. Factor 8/7*u**j + 2/7*u**5 + 4/7*u**2 + 10/7*u**3 + 0*u + 0.
2*u**2*(u + 1)**2*(u + 2)/7
Let p be -4 + 0 + 8 + 2. Let h be (2/8)/(p/36). Factor -1/2*q + 0 + 0*q**2 + h*q**3 - q**4.
-q*(q - 1)**2*(2*q + 1)/2
Suppose -3*q + 4*m = -27, -4*q + 2*m + 32 = -2*m. Suppose 0 = -5*k - 2*l + 11, 2*k = -k - q*l - 1. Solve 1 + 9*d**2 - 3/2*d**5 - 2*d**4 + 11/2*d + 4*d**k = 0.
-1, -1/3, 2
Let h(y) be the third derivative of 0*y + 28*y**2 + 5/108*y**4 - 7/270*y**5 + 0 + 2/27*y**3. Factor h(a).
-2*(a - 1)*(7*a + 2)/9
Suppose -28 = -5*d + 2. Suppose -6 - d = -a - 5*u, 0 = -a + 5*u + 2. Factor 29*s - 26*s + a*s**3 + 15*s**2 - 3*s**2 - 2.
(s + 1)**2*(7*s - 2)
Find k, given that -117*k**2 + 114*k + 59/2*k**3 + 4 = 0.
-2/59, 2
Let h(q) = -3*q**3 + 4*q**2 - 4*q + 4. Let m be h(2). Let t = 16 + m. Factor 2*u + 0*u**3 + t - u**2 - 6*u**3 + 2*u**4 + 4*u**3 - 5*u**2.
2*(u - 2)*(u - 1)*(u + 1)**2
Let y(g) be the first derivative of 5*g**7/42 - g**6/6 + 19*g - 9. Let p(d) be the first derivative of y(d). Factor p(m).
5*m**4*(m - 1)
Let p be 2/(-9) - (-8)/36. Let s(k) be the third derivative of -2*k**2 + 0*k + 2/15*k**3 + p + 3/50*k**5 + 11/60*k**4. Factor s(w).
2*(w + 1)*(9*w + 2)/5
Find b, given that -1/6*b**5 + 0*b - 7/2*b**4 + 0 + 7/2*b**2 + 1/6*b**3 = 0.
-21, -1, 0, 1
Factor 2/5*t**3 + 12/5*t**2 + 18/5*t + 8/5.
2*(t + 1)**2*(t + 4)/5
Suppose 0 = u - m - 1 - 4, -m + 2 = 0. Let z = 7 - u. Factor 3*d**2 + 7*d**4 + 2*d - 8*d**4 + z*d**4.
-d*(d - 2)*(d + 1)**2
Let l(a) be the second derivative of a**5/10 + 2*a**4/3 + 4*a**3/3 - 4*a + 2. Factor l(z).
2*z*(z + 2)**2
Let c be (-34)/((-4)/6*3). Factor -c*g**5 + 11*g**4 - 16*g**4 - 3*g**5.
-5*g**4*(4*g + 1)
Let j(c) be the first derivative of c**4/12 - c**3/3 - 5*c**2/3 + 8*c - 156. Factor j(k).
(k - 4)*(k - 2)*(k + 3)/3
Let t(o) be the third derivative of -o**9/5760 - o**8/6720 + o**7/480 + o**6/240 - o**5/10 + 11*o**2. Let f(u) be the third derivative of t(u). Factor f(b).
-3*(b - 1)*(b + 1)*(7*b + 2)/2
Suppose -4*q - 4*p = -20, -6*q - 2*p = -10*q + 14. Let b(k) be the second derivative of 0*k**2 + 1/70*k**5 + 2/21*k**3 + 1/14*k**q + 0 - 6*k. Factor b(l).
2*l*(l + 1)*(l + 2)/7
Let t be 2/16*-2*(-30 + -14). Suppose -t*p + 13 = -9. Determine l so that -p - 14*l - 49/2*l**2 = 0.
-2/7
Let m = -199 - -998/5. Factor 3/5*j - 3/5*j**2 - m*j**3 + 3/5*j**4 + 0.
3*j*(j - 1)**2*(j + 1)/5
Let h(p) = 7*p**4 + 2*p**3 - 5*p**2 - 5*p - 10. Let r(c) = -3*c**4 - c**3 + 2*c**2 + 2*c + 4. Let i(w) = 2*h(w) + 5*r(w). Factor i(n).
-n**3*(n + 1)
Let c(z) = -z**3 + 9*z**2 - 6*z - 12. Let k be c(8). Suppose 4*t - 3*t**3 - 71*t**2 - 12*t**5 + 55*t**2 + 16*t**k + 11*t**3 = 0. Calculate t.
-1, 0, 1/3, 1
Let 20/9 + 68/9*d**2 - 82/9*d - 2/3*d**3 = 0. Calculate d.
1/3, 1, 10
Let v be 11 - (-13 - (-6006)/253). Factor 0 + 0*c**2 - v*c**4 + 0*c - 2/23*c**3 + 8/23*c**5.
2*c**3*(c - 1)*(4*c + 1)/23
Find r, given that -645 + 823*r**2 - 828*r**2 + 42*r + 188*r = 0.
3, 43
Let c be (-2)/13 + 5146/5395. Suppose 0 + c*h + 2/5*h**2 - 2/5*h**3 = 0. Calculate h.
-1, 0, 2
Let n(f) = f - 3. Let j be n(3). Suppose q - 3 = j, 8 = -2*h + q + 35. Let 4*p**4 - 9*p**2 + 6 + 24*p**3 - h*p + p**4 + 7*p**4 = 0. What is p?
-2, -1, 1/2
Let m = -23 + 27. Suppose -4*q + 4 = 0, 2*q = -3*y + 2*y + m. Let -5*v**2 + 0*v + 0*v + 8*v**4 + 10*v**3 - 6*v**5 + v**y = 0. Calculate v.
-1, 0, 1/3, 2
Suppose 893 + 43 = 12*v. Let x be (-13)/v + (-10)/(-24). Determine u so that -1/4*u + 0 - x*u**2 = 0.
-1, 0
Let t(o) be the third derivative of -2*o**7/315 - o**6/30 - 2*o**5/45 - 66*o**2. Find c such that t(c) = 0.
-2, -1, 0
Let s(y) = -15*y**2 + 12*y - 21. Let v(u) = -13*u**2 + 13*u - 22. Let a(h) = 5*s(h) - 6*v(h). Factor a(p).
3*(p - 3)**2
Let i be 18/8*24/18. Suppose -t = 3*y - 12, 0 = i*y + 6*t - t - 24. Factor -4*v**3 - 4*v**5 + 50*v**4 - 40*v**4 - y + 3.
-2*v**3*(v - 2)*(2*v - 1)
Let m(v) be the third derivative of -v**7/210 + 13*v**6/120 - 23*v**5/60 + 11*v**4/24 - 298*v**2. Suppose m(a) = 0. What is a?
0, 1, 11
Let b = 11277/5 - 2255. Let -b*m + 2/5*m**2 + 2/5*m**3 - 2/5 = 0. Calculate m.
-1, 1
Suppose 4*f - 7*f - 3*y = -15, -4*f + 3*y = -27. Suppose 14*g + f = 16*g. Solve -1/4*b**g + 1/2 + 3/4*b + 0*b**2 = 0.
-1, 2
Let m(q) = -5*q**4 + 8*q**3 - 9*q**2 + 6*q - 18. Let c(a) = -a**4 - a**3 + a**2 + a - 3. Let x(o) = 6*c(o) - m(o). Factor x(r).
-r**2*(r - 1)*(r + 15)
Let g(i) = -24*i**2 + 28*i + 16. Let w be 4/(-1) - 30/(-6). Let u(f) = f**2 - f - 1. Let x(m) = w*g(m) + 20*u(m). Factor x(l).
-4*(l - 1)**2
Let v(t) be the third derivative of 0 - 4*t**2 + 0*t + 0*t**4 + 1/210*t**7 + 1/200*t**6 - 1/150*t**5 + 0*t**3. Solve v(p) = 0 for p.
-1, 0, 2/5
Let j(q) be the first derivative of -q**4/7 - 320*q**3/21 - 84. Let j(s) = 0. What is s?
-80, 0
Let g(a) be the first derivative of -5*a**4/12 + 10*a**3 - 90*a**2 - 18*a + 2. Let n(k) be the first derivative of g(k). Suppose n(z) = 0. What is z?
6
Suppose -11*a + 588 = -4*a. Solve a*p - 162 + p**4 + 15*p**3 - 3*p**4 + 132*p + 9*p**3 - 108*p**2 = 0.
3
Let o(p) = 9*p**3 - 16*p**2 - 11*p + 94. Let w(r) = -r**3 - r**2 - r - 1. Let b(c) = -o(c) - 4*w(c). Suppose b(n) = 0. What is n?
-2, 3
Let j(k) be the second derivative of 35/12*k**4 - 5/6*k**6 + 0 + 5/2*k**3 - 5*k**2 - 3/4*k**5 - 11*k. Let j(b) = 0. What is b?
-1, 2/5, 1
Factor 0*m**2 - 2/7*m**5 + 0 - 18/7*m**3 - 12/7*m**4 + 0*m.
-2*m**3*(m + 3)**2/7
Let k(o) = -o + 2. Let t be k(0). Determine p so that -541*p**2 - 64*p**t + 27*p - 235*p - 20 - 12*p = 0.
-2/11
Let o be 8/(-28) + (-96)/(-189). Suppose 0*r = 5*r - 10. Factor o*n + 0 + 2/3*n**3 + 8/9*n**r.
2*n*(n + 1)*(3*n + 1)/9
Suppose -5*s + g - 18 = -51, 0 = 3*s - 4*g - 13. Suppose -s*o - 6 = -20. Factor 0*t - 3/4*t**3 - 3/2*t**o + 0.
-3*t**2*(t + 2)/4
Let c(x) = 7*x**3 - 60*x**2 + 131*x - 3. Let p(s) = -60*s**3 + 540*s**2 - 1178*s + 26. Let o(u) = -52*c(u) - 6*p(u). Factor o(z).
-4*z*(z - 2)*(z + 32)
Let k(z) be the third derivative of -z**6/480 + 19*z**4/96 + 5*z**3/4 + 9*z**2 - 16*z. Factor k(w).
-(w - 5)*(w + 2)*(w + 3)/4
Let w(i) = -3*i**3 - 53*i**2 - 39*i - 82. Let l be w(-17). Factor 144 + 2/3*d**l + 12*d**2 + 72*d.
2*(d + 6)**3/3
What is z in -3*z + 294 - 6*z**2 + 0*z + 3*z**3 - 288 = 0?
-1, 1, 2
Let d(r) = -r**3 + 8*r**2 - r - 20. Let w be d(6). Let v = 48 - w. Suppose 0 + 0*t + 2/7*t**v - 2/7*t**5 - 2/7*t**4 + 2/7*t**3 = 0. Calculate t.
-1, 0, 1
Let u(l) be the first derivative of -13/2*l**4 + 0*l**2 + 0*l + 6 + 1/5*l**5 + 169/3*l**3. What is x in u(x) = 0?
0, 13
Let l(n) = n**3 - 22*n**2 - 16*n - 6. Let o be l(23). Let x = o - 153. Factor -3/7 + 6/7*u - 3/7*u**x.
-3*(u - 1)**2/7
Let u(o) be the second derivative of -o**8/3360 + o**7/420 - o**6/120 + o**5/60 + 19*o**4/12 - 7*o. Let s(a) be the third derivative of u(a). Factor s(l).
-2*(l - 1)**3
Suppose -700 = -4*t + 2*a, a - 4*a = 0. Let q = -173 + t. Factor 1/2*y**4 + 1/2 + 3*y**q - 2*y - 2*y**3.
(y - 1)**4/2
Factor -24/7*q**3 - 4/7*q**4 - 40/7*q - 12/7 - 48/7*q**2.
-4*(q + 1)**3*(q + 3)/7
Let k(n) be the second derivative of 3*n**5/10 + 45*n**4/4 - 23*n**3/2 + 739*n. Determine t so that k(t) = 0.
-23, 0, 1/2
Let h(f) = -3*f**3 + f**2 - 3*f + 5. Let b(k) = -15*k**3 + 6*k**2 - 15*k + 24. Let n be -5*(3 - (-2 + 6)). Let r(g) = n*b(g) - 24*h(g). Factor r(z).
-3*z*(z - 1)**2
Let v(k) be the second derivative of 35/12*k**4 - 1/2*k**5 - 21*k - 5/3*k**3 + 0 - 15/2*k**2. Determine z, given that v(z) = 0.
-1/2, 1, 3
Let l(h) = -2*h**2 + 2. Let w be l(0). Factor -13*y**2 - 10*y + w*y**3 + 0*y**3 + 9*y**2 + 12.
2*(y - 3)*(y - 1)*(y + 2)
Let a = -1976 - -13834/7. Find u, given th