*w + 2)
Let b(c) be the third derivative of 1/56*c**7 - 37/240*c**5 + 7/480*c**6 - 3*c**2 - 1/12*c**3 + 0*c + 0 + 17/96*c**4. Suppose b(h) = 0. What is h?
-2, 1/5, 1/3, 1
Suppose -v = 24 + 66. Let t be 9/(v/4)*15/(-4). Suppose 3*u**2 + t - 15/4*u - 3/4*u**3 = 0. What is u?
1, 2
Suppose -172*a = -176*a + 12. Let h(j) be the second derivative of 0*j**a + 1/10*j**5 + 0 + 0*j**2 - 4*j + 0*j**4. Find w such that h(w) = 0.
0
Let y = -25/33 - -12/11. Suppose 5*i = -3*l + 6*l + 15, -6 = -8*l - 2*i. Factor 1/3*a**4 + l*a - 2/3*a**3 + 0 + 0*a**2 + y*a**5.
a**3*(a - 1)*(a + 2)/3
Let o(d) = -14*d**3 + 100*d**2 - 947*d - 1094. Let j(w) = -5*w**3 + 33*w**2 - 315*w - 365. Let h(m) = -11*j(m) + 4*o(m). Factor h(p).
-(p - 19)**2*(p + 1)
Let t(w) be the first derivative of 11*w**5/140 - 13*w**4/56 + w**3/7 + 3*w**2/2 + 5. Let k(x) be the second derivative of t(x). Factor k(p).
3*(p - 1)*(11*p - 2)/7
Let g(f) be the first derivative of 4*f**3/3 - 200*f**2 + 10000*f + 733. Factor g(j).
4*(j - 50)**2
Suppose -2*m + 9*m = m. Let x(y) be the second derivative of m*y**3 - 1/8*y**5 - 1/12*y**4 - 1/20*y**6 + 2*y + 0 + 0*y**2. What is q in x(q) = 0?
-1, -2/3, 0
Let s(a) be the first derivative of -a**6/9 + 2*a**5/15 + 5*a**4/3 + 16*a**3/9 + 906. Determine w, given that s(w) = 0.
-2, -1, 0, 4
Let -3/4*u + 1/2 + 1/4*u**2 = 0. What is u?
1, 2
Let d(g) be the third derivative of -4*g**5/15 + 25*g**4/6 + 58*g**3/3 + 7*g**2 - 7. Suppose d(r) = 0. Calculate r.
-1, 29/4
Suppose 5*r - 4*h = 15, 0 = -2*r + 3*h - 2*h + 9. Suppose r*y - 11*y + 8 = 0. Factor -158*v**y - v**4 - 2 + 0*v + v**3 + 161*v**2 - v.
-(v - 2)*(v - 1)*(v + 1)**2
Let l(n) be the first derivative of 3*n**5/10 - 17*n**3/2 + 27*n**2 - 30*n - 34. Factor l(r).
3*(r - 2)**2*(r - 1)*(r + 5)/2
Determine q so that -69*q**5 - 27*q**3 - 81*q**5 - 30*q**4 + 12*q**2 + 159*q**5 = 0.
-1, 0, 1/3, 4
Let z(w) be the second derivative of -8*w - 6*w**3 + 0 - 4*w**2 + 5/3*w**4. Solve z(i) = 0.
-1/5, 2
Suppose -131*x = -189*x. Determine r, given that -1/2*r**2 - 1/4*r - 1/4*r**3 + x = 0.
-1, 0
Suppose 0 = -2*g - 4 + 10. Suppose 2*u + 3*p = 13, -p + 12 = 3*p. Let -s - u - s + s**2 + g*s = 0. What is s?
-2, 1
Suppose 14 = -3*p + 20. Factor 4*f**p - f**3 - f**3 - 1 + 6*f - 3 - 4*f.
-2*(f - 2)*(f - 1)*(f + 1)
Let h(w) be the third derivative of 0*w - 1/15*w**5 - 1/60*w**6 + 0 + 2*w**3 + 24*w**2 + 5/12*w**4. Let h(v) = 0. What is v?
-3, -1, 2
Let p be 100/140 - 161/(-49). Factor 0 + p*f - 4/3*f**2.
-4*f*(f - 3)/3
Let p(j) be the third derivative of -j**7/420 + 11*j**6/80 + 4*j**2 + 3. Find g such that p(g) = 0.
0, 33
Let l(k) be the first derivative of k**6/36 - k**5/10 - k**4/8 + 11*k**3/18 - k**2/2 + 362. Factor l(p).
p*(p - 3)*(p - 1)**2*(p + 2)/6
Let k be -3*(-1)/((-4)/(-4)). Suppose 0 = 4*b - 3*f - 4 - 6, k*b - 2 = 5*f. Factor -b*m**2 - 2*m - 2*m**4 - 6*m**3 + 2*m.
-2*m**2*(m + 1)*(m + 2)
Let o be (-28)/(-8) + 11/(-88)*(-6 - -2). Factor 0 + 2/3*f**o + 0*f + 6*f**2 - 4*f**3.
2*f**2*(f - 3)**2/3
Suppose 0 = -0*o - 3*o + 9. Let v(m) = m**3 - 3*m**2 + 2. Let h be v(o). Solve 2*c**2 - 4 - h*c**2 + c**2 = 0.
-2, 2
Solve 622581*s - 622581*s + 32 + 2*s**4 - 16*s**2 = 0 for s.
-2, 2
Let t = -60 + 63. Let q be t/(-6) + (-7)/((-70)/9). Factor h + 9/5*h**2 + q*h**4 + 1/5 + 7/5*h**3.
(h + 1)**3*(2*h + 1)/5
Let f(v) be the second derivative of 0 + 2*v + 0*v**3 + 5/2*v**2 - 5/12*v**4. Find m, given that f(m) = 0.
-1, 1
Let t(r) = 9*r**4 - 64*r**3 + 224*r**2 - 288*r + 152. Let o(i) = -6*i**4 + 43*i**3 - 149*i**2 + 192*i - 101. Let x(g) = 8*o(g) + 5*t(g). Factor x(f).
-3*(f - 2)**4
Let n(g) = 18*g**3 - 27*g**2 - 24*g + 21. Let b(i) = -19*i**3 + 27*i**2 + 23*i - 23. Let x(l) = -6*b(l) - 7*n(l). Factor x(r).
-3*(r - 3)*(r + 1)*(4*r - 1)
Let h(y) be the first derivative of -2*y**3/15 - 7*y**2/5 - 12*y/5 - 65. Find w such that h(w) = 0.
-6, -1
Let x(b) be the first derivative of -5*b**3/12 - 33*b**2/8 + 7*b/2 + 12. Factor x(v).
-(v + 7)*(5*v - 2)/4
Let q = 25 + -21. Let t(s) = s**2 + s - 1. Let x(m) = -8*m**2 + 4*m + 4. Let u(c) = q*t(c) + x(c). Find b, given that u(b) = 0.
0, 2
Let j = -49 + 49. Factor -19*a**2 - 8*a**3 + 3*a**2 + 12*a**3 + 12*a + j*a**3.
4*a*(a - 3)*(a - 1)
Let t(m) be the first derivative of -3*m**5/25 + 9*m**4/10 - 48*m**2/5 + 91. Factor t(h).
-3*h*(h - 4)**2*(h + 2)/5
Let f be (6/2 - 1) + 1/(-8). Let h(l) be the first derivative of 11/4*l**3 + 1/2*l + f*l**2 - 5 + 29/16*l**4 + 9/20*l**5. Solve h(m) = 0 for m.
-1, -2/9
Let t be (-30)/(-18) + (-320)/30 + (-66)/(-6). Factor 26/9*x - 26/9*x**t + 8/9 - 8/9*x**3.
-2*(x - 1)*(x + 4)*(4*x + 1)/9
Suppose u - 17 = -3*y + 6*u, -4*y = u + 8. Let d be -5*(y - (-6)/15). What is p in d*p**3 - 3/5*p - 12/5*p**5 - 9/5*p**2 + 9/5*p**4 + 0 = 0?
-1, -1/4, 0, 1
Let b(o) be the first derivative of -72/7*o + 12 + 12/7*o**2 - 2/21*o**3. Factor b(i).
-2*(i - 6)**2/7
Let a(r) be the first derivative of -5*r**6/6 - 5*r**5 - 15*r**4/4 + 25*r**3/3 + 10*r**2 + 56. Solve a(t) = 0 for t.
-4, -1, 0, 1
Let y = -19/3 - -5. Let z = 1/6 - y. Factor -3*w + 3/2*w**2 + z.
3*(w - 1)**2/2
Let g be (-3 + 27/6)*2. Factor o**5 - 2*o**4 - 4*o**2 - 108*o**g + 6*o**2 + 110*o**3 - 3*o**5.
-2*o**2*(o - 1)*(o + 1)**2
Let o = 4 - -6. Suppose -o = -b - 10. Factor 0 - 1/2*q**3 + b*q + 0*q**2 + 9/4*q**5 + 7/4*q**4.
q**3*(q + 1)*(9*q - 2)/4
Factor -2/3*w + 2/3*w**3 - 2/3*w**2 + 2/3.
2*(w - 1)**2*(w + 1)/3
Let z(q) = 8*q**3 - 3*q**2 + 9*q + 14. Let d(b) = -b**3 - b - 2. Let f(x) = -28*d(x) - 4*z(x). Determine o, given that f(o) = 0.
0, 1, 2
Let v = -30 + 48. Let a = -15 + v. Let -4*z**2 + 30*z**2 - 154*z + 142*z + 6*z**a + 4*z**3 = 0. What is z?
-3, 0, 2/5
Factor 15*z**2 + 25*z**2 - 46*z**2 + 4*z + 2*z**3.
2*z*(z - 2)*(z - 1)
Let l(r) be the third derivative of -r**8/4032 + r**7/63 - 4*r**6/9 + 11*r**5/20 + 20*r**2. Let g(b) be the third derivative of l(b). Let g(q) = 0. What is q?
8
Let l(y) be the third derivative of -y**5/300 - 7*y**4/60 - 49*y**3/30 - y**2 + 39. Solve l(j) = 0 for j.
-7
Let y(t) be the second derivative of 49*t**4/16 + 441*t**3/4 + 93*t**2 - 83*t + 3. Factor y(b).
3*(7*b + 2)*(7*b + 124)/4
Suppose 4*v - 6*r - 9 = -3*r, -4*v + 2*r = -6. Suppose 3*n + n = v. Factor 1/2*s + s**2 + 1/2*s**3 + n.
s*(s + 1)**2/2
Let j(t) be the third derivative of 0 - 1/160*t**5 + 0*t + 4*t**2 + 1/32*t**4 - 1/16*t**3. Factor j(o).
-3*(o - 1)**2/8
Let w(u) be the first derivative of 27*u**5/5 + 108*u**4 + 138*u**3 + 68*u**2 + 15*u - 159. Factor w(n).
(n + 15)*(3*n + 1)**3
Let l = 28795 + -28792. Factor 1/2*w**2 + 1/2*w**l + 4 - 5*w.
(w - 2)*(w - 1)*(w + 4)/2
Let m(r) be the first derivative of 2/21*r**3 + 2/7*r**2 - 6/7*r + 12. Factor m(x).
2*(x - 1)*(x + 3)/7
Determine p, given that 2/7*p**2 + 116/7*p + 1682/7 = 0.
-29
Suppose -5 = -4*s + 7. Let h = -85 + 88. Suppose -o**s + 6*o**3 + o**4 - 4*o**h = 0. What is o?
-1, 0
Let t = 7 + -2. Suppose -k - 3*p = 5, -t*p + p = -4*k + 28. Factor -3*j**3 + 4*j**4 - 5*j**k + 2*j**2 + 3*j**4 - j**4.
j**2*(j - 2)*(j - 1)
Let a(o) be the third derivative of o**7/42 + 7*o**6/24 + 17*o**5/12 + 85*o**4/24 + 5*o**3 - 6*o**2 + 9. Suppose a(v) = 0. What is v?
-3, -2, -1
Let u(g) = g**2. Let s(r) = -3*r**3 - 5*r**2 + 3*r. Let k be 4/(-1) - (-10 - -3). Suppose 0*d + k*d = 15. Let i(w) = d*u(w) + s(w). Find b such that i(b) = 0.
-1, 0, 1
Let p(w) = 5*w**3 + 15*w**2 - 23*w - 3. Let t(k) = -56*k**3 - 164*k**2 + 254*k + 34. Let q(v) = -68*p(v) - 6*t(v). Suppose q(b) = 0. What is b?
-10, 0, 1
Let r(j) = 10*j**2 + 11*j**2 - 17 - 22*j**2 + 10*j. Let f be r(7). Factor -6/5*v**f - 2/5*v**5 + 0 - 6/5*v**3 + 0*v - 2/5*v**2.
-2*v**2*(v + 1)**3/5
Let z(r) be the second derivative of -r**5/120 + r**4/4 + 13*r**3/12 + 25*r**2 + r + 29. Let p(h) be the first derivative of z(h). Factor p(b).
-(b - 13)*(b + 1)/2
Let u = -18 - -31. Suppose 60 = -9*f + u*f. Factor -f*i + 58*i - 4 + 17*i - 225*i**2.
-(15*i - 2)**2
Let s(f) be the first derivative of -2*f**3/33 + 14*f**2/11 - 6*f - 217. Factor s(d).
-2*(d - 11)*(d - 3)/11
Let l(o) be the third derivative of 0*o + 2*o**3 - 19*o**2 - 4/15*o**5 - 1/6*o**4 + 0. Determine q so that l(q) = 0.
-1, 3/4
Let f be 0 - (9/27 - (-10)/(-3)). Let d(c) be the first derivative of 0*c - 2/5*c**5 - 3 + c**2 + 2/3*c**f - 1/2*c**4. Solve d(p) = 0.
-1, 0, 1
Factor 64/3 - 6*y**2 + 46/3*y.
-2*(y + 1)*(9