/3*z + 59/9*z**3 = 0?
-10, -3, -1, -3/4
Let m = -1234/3 + 104896/255. Let b(x) be the first derivative of 1/17*x**2 - 4/17*x - m*x**5 - 1/34*x**4 + 2/17*x**3 - 20. Determine j, given that b(j) = 0.
-2, -1, 1
Let f = 26163 + -26163. Let w(x) be the first derivative of 5/6*x**6 + 3*x**5 + 5/3*x**3 + f*x + 0*x**2 - 9 + 15/4*x**4. Factor w(l).
5*l**2*(l + 1)**3
Let r = -6127 + 6129. Let c(f) be the second derivative of 0*f**4 - 4*f - r*f**3 - 4*f**2 + 0 + 1/5*f**5. Factor c(t).
4*(t - 2)*(t + 1)**2
Let n(u) = -1. Let c be (-39)/(-13) + (2 - 0). Let t(v) = v**2 + 42*v + 85. Let r(a) = c*n(a) + t(a). Factor r(z).
(z + 2)*(z + 40)
Let j(t) be the second derivative of 1/4*t**5 - 10/3*t**4 + 0 - 5/6*t**3 + 20*t**2 - 47*t. What is y in j(y) = 0?
-1, 1, 8
Let r(y) = y**2 + y + 1. Let j(a) = -6*a**2 + 52*a - 75. Let x(i) = j(i) - 2*r(i). Let q(h) = h**2 - 1. Let v(u) = -3*q(u) - x(u). Factor v(b).
5*(b - 8)*(b - 2)
Solve 2929*a**2 + 1996 - 5861*a**2 + 2926*a**2 + 2990*a = 0.
-2/3, 499
Let r be (-323)/(-570) + -4*1/10. Let b(y) be the second derivative of 1/60*y**4 + r*y**3 - 22*y + 0 - 1/100*y**5 + 3/10*y**2. Factor b(w).
-(w - 3)*(w + 1)**2/5
Let q(v) be the third derivative of 1/120*v**6 - 16/3*v**3 + 0 - 2*v**2 - 1/6*v**5 + 29*v + 4/3*v**4. Determine f so that q(f) = 0.
2, 4
Let a(c) be the third derivative of -19*c**6/24 - 929*c**5/12 + 7655*c**4/12 - 260*c**3 + 7994*c**2 + c. Factor a(b).
-5*(b - 3)*(b + 52)*(19*b - 2)
Let h(z) be the first derivative of 55*z**3 - 20 - 50*z**2 + 5*z**5 + 20*z - 55/2*z**4. Let h(n) = 0. What is n?
2/5, 1, 2
Factor 1/10*f**5 + 3/2*f**3 + 0*f + 0*f**2 + 0 - 4/5*f**4.
f**3*(f - 5)*(f - 3)/10
Let o(s) be the second derivative of -1/170*s**5 - 5*s + 8/51*s**4 + 0*s**2 - 17 + 0*s**3. Suppose o(y) = 0. What is y?
0, 16
Let r(t) be the second derivative of -t**6/960 + t**5/160 + 43*t**3/3 - 23*t - 2. Let w(l) be the second derivative of r(l). Factor w(o).
-3*o*(o - 2)/8
Let f(l) = -10*l**3 - 62*l**2 + 8*l - 8. Let t(g) = 11*g**3 + 63*g**2 - 9*g + 9. Let v(h) = -9*f(h) - 8*t(h). Find m such that v(m) = 0.
-27, 0
Find o, given that 128/3*o - 4/3*o**2 + 44 = 0.
-1, 33
Solve -3/5*g**2 + 9276/5*g - 7170348/5 = 0 for g.
1546
Let s(n) be the third derivative of -2*n**5/5 + 25*n**4/24 - n**3/6 + 2020*n**2. Find a such that s(a) = 0.
1/24, 1
Suppose 0 = -3*b + 4*y + 20, -b - 3*y = 2*b - 48. Suppose -6*h - b = -24. Suppose 0*g - 3/4*g**h + 0 = 0. What is g?
0
Let j(x) be the first derivative of 6*x**5/35 - 24*x**4/7 - 264*x**3/7 - 96*x**2/7 + 4224*x/7 - 6758. Determine g so that j(g) = 0.
-4, 2, 22
Let q(x) = x + 2. Let f be q(2). Let t be (12/f)/(-1 + 2). Factor -l**4 - 8*l**t + 10*l**3 - l**5 - 2*l**3.
-l**4*(l + 1)
Suppose 0 = -8*c + 170 - 154. Solve 0*f**2 - 2*f + 4*f**2 - 15*f**c + 0*f + 13*f**2 = 0.
0, 1
Suppose 48048*d + 422 + 21389 + 1905 - 12928*d**2 - 1840*d**3 - 12*d**4 + 10230*d**2 - 67214*d**2 = 0. What is d?
-77, -1/3, 1
Suppose 2*s - 5*t + 257 = 89, -4*s - 4*t - 336 = 0. Let h = 169 + s. Factor -h + 2*y**3 + 36*y**2 + 167*y + 517 + 49*y.
2*(y + 6)**3
Suppose 0 = -29*a + 25*a + 8. Let b(j) = -4*j - 4 - 3*j**2 + 6*j**2 - j - 4*j**a. Let w(r) = -4*r**2 - 21*r - 17. Let k(s) = -18*b(s) + 4*w(s). Factor k(o).
2*(o + 1)*(o + 2)
Suppose u + 17*d = 18*d - 4, 0 = d - 9. Let t(h) be the third derivative of -35*h**2 + 0*h**3 + 0 - 1/6*h**4 + 1/30*h**u + 0*h. Let t(k) = 0. What is k?
0, 2
Let n be 1 + -1 + 33472/(-17). Let o = n - -1970. Let 4/17*l**4 + 8/17*l + o*l**5 + 24/17*l**2 + 0 - 54/17*l**3 = 0. What is l?
-2, -2/9, 0, 1
Suppose 43*g + 711 + 2001 = 700*g + 699*g. Factor 0 - 4*h**g - 4/3*h**3 - 8/3*h.
-4*h*(h + 1)*(h + 2)/3
Let m(f) be the first derivative of -f**5/5 - f**4/2 + 5*f**3/3 + 3*f**2 + 1230. Factor m(l).
-l*(l - 2)*(l + 1)*(l + 3)
Let a(n) be the second derivative of n**5/80 + 53*n**4/16 + 105*n**3/8 + 157*n**2/8 + 1942*n. Factor a(f).
(f + 1)**2*(f + 157)/4
Suppose 42 = 3*m - 5*q + 13, 23 = m - 5*q. Let p(g) be the first derivative of -14 + 0*g**2 + 1/2*g**4 + 0*g**m + 0*g - 3/5*g**5. Suppose p(h) = 0. What is h?
0, 2/3
Let n(q) = -2*q**2 + 2*q. Let c(p) = 8*p**2 - 905442 + 905442 - 7*p. Let a(o) = -o**2 - 4*o + 2. Let v be a(-4). Let t(y) = v*c(y) + 9*n(y). Factor t(u).
-2*u*(u - 2)
Solve -42/17 - 44/17*c - 2/17*c**2 = 0.
-21, -1
Factor -97 - 3*q**2 + 288 - 27*q - 80 - 67 - 86.
-3*(q + 2)*(q + 7)
Let n be 4/(-7) + 10208/812. Suppose 5*y - 7*a = -8*a + n, 2 = 2*y - a. Find p, given that 5/2*p**4 + 0 - 15/2*p**3 + 5*p**y + 0*p = 0.
0, 1, 2
Let w(s) be the second derivative of -s**8/336 - s**7/105 + s**6/120 + s**5/30 + 93*s**2/2 - 4*s. Let c(m) be the first derivative of w(m). Factor c(g).
-g**2*(g - 1)*(g + 1)*(g + 2)
Solve 4*l**3 + 1592483 + 2112*l**2 - 1592483 + 2108*l = 0.
-527, -1, 0
Let w(g) be the third derivative of -g**6/6 - 16*g**5/15 + g**4/2 + 12*g**3 - 503*g**2 + 1. Factor w(m).
-4*(m - 1)*(m + 3)*(5*m + 6)
Let u(s) be the second derivative of -s**6/90 + 19*s**4/18 + 4*s**3 + 35*s**2/6 + 1154*s - 2. Find c such that u(c) = 0.
-5, -1, 7
Suppose 0 = -3*d - 6, l + 4*l - d = -93. Let y = l - -22. Factor 26*u + 6 - 8*u**3 + 5*u**y - 6*u**2 - 23*u.
-3*(u - 1)*(u + 1)*(u + 2)
Let k be (-446368)/(-728) + 4/(-7). Let d = k - 612. Let 0*v + d*v**3 + 0*v**2 + 0 - 2*v**4 = 0. Calculate v.
0, 2/7
Let p = 10294 + -10294. Let i(l) be the first derivative of -1/9*l**6 + 32/3*l**2 + 2*l**4 - 80/9*l**3 + 4/15*l**5 - 25 + p*l. Let i(d) = 0. What is d?
-4, 0, 2
Let n(v) = -12*v**3 - 254*v**2 - 40*v + 45. Let f be n(-21). Factor 0*c**2 + 0 + 0*c + 3/4*c**4 - 3/4*c**f.
3*c**3*(c - 1)/4
Suppose -2*o - 2*c = -42, 0*o - 3*o + 47 = -5*c. Suppose 24*g - o*g - 20 = 0. Solve 0*d - 8 - d**2 - 6*d + g + d = 0.
-4, -1
Let n(d) = 8*d**2 - 12*d - 4. Suppose -6*q - 56 = -26. Let r(h) = h**3 - 9*h**2 + 13*h + 5. Suppose c = -3*c - 16. Let l(m) = c*r(m) + q*n(m). Factor l(b).
-4*b*(b - 1)*(b + 2)
Let k(m) be the second derivative of -m**7/28 - 3*m**6/5 - 33*m**5/10 - 35*m**4/4 - 51*m**3/4 - 21*m**2/2 - 121*m + 4. Solve k(i) = 0 for i.
-7, -2, -1
Let t = 765131 + -765127. Factor 0 + 40/7*f**3 - 38/7*f**t - 2/7*f**5 + 0*f**2 + 0*f.
-2*f**3*(f - 1)*(f + 20)/7
Let m(i) be the second derivative of -108*i - 45/2*i**3 + 3645/4*i**2 + 0 + 5/24*i**4. Solve m(t) = 0 for t.
27
Let t(d) be the third derivative of -d**5/450 - 197*d**4/180 + 8401*d**2. Let t(i) = 0. What is i?
-197, 0
Let g(l) be the third derivative of 0*l - 25/48*l**5 - 34*l**2 - 605/24*l**3 - 275/48*l**4 + 0. Factor g(t).
-5*(5*t + 11)**2/4
Let d(s) be the first derivative of -7 + 1/20*s**4 - 2/15*s**3 - 1/2*s**2 + 6/5*s. Factor d(h).
(h - 3)*(h - 1)*(h + 2)/5
Let w(q) = -12*q**3 + 16*q**2 + 20*q - 48. Let z(r) = 22*r**2 - 1237 + 13*r - 11*r**2 - 8*r**3 + 1206. Let h(o) = 5*w(o) - 8*z(o). Factor h(a).
4*(a - 2)*(a - 1)*(a + 1)
Suppose -101*j + 168 = -17*j. Factor 10/9*l**2 - 2/9*l**3 - j - 2/3*l.
-2*(l - 3)**2*(l + 1)/9
Let n(r) = 651*r + 1955. Let w be n(-3). Determine p, given that -16/7*p + 18/7 - 2/7*p**w = 0.
-9, 1
Suppose 0 = 58*f - 120126 + 41884. Let u = -4031/3 + f. Factor 0*l**4 - 20/3*l**2 + 40/3*l + 18*l**5 - 30*l**3 + u.
2*(l - 1)**2*(3*l + 2)**3/3
Suppose 5*s - 408*d - 18 = -412*d, 4 = 4*s - 2*d. Factor -1/4*i**s - 25 - 5*i.
-(i + 10)**2/4
Let q(v) be the first derivative of 60/13*v + 10/39*v**3 + 77/13*v**2 - 18. Factor q(x).
2*(x + 15)*(5*x + 2)/13
Let n = -1142 - -1053. Let o = 92 + n. Solve -39/2*s**2 + 8*s**4 - 4*s**o - 1 - 17/2*s = 0 for s.
-1, -1/4, 2
Suppose -71825*q - 1932 = -71848*q. Factor -q*v**2 + 4/3*v**3 + 4096/3 + 1280*v.
4*(v - 32)**2*(v + 1)/3
Factor 147276*v**4 + 5*v**5 - 381*v**3 - 147536*v**4 - 159*v**3.
5*v**3*(v - 54)*(v + 2)
Let y = 1813 - 1733. Let z be (4 - y/30)/(6/9). Let 4/3*d**5 + 0*d**3 + 0 - 16/3*d**z + 0*d + 4*d**4 = 0. Calculate d.
-2, 0, 1
Let h(x) be the third derivative of x**6/360 - 17*x**5/180 + 11*x**4/12 + 2647*x**2. Solve h(s) = 0.
0, 6, 11
Let b(x) be the third derivative of -x**7/84 + 5087*x**6/48 - 359340*x**5 + 1521803840*x**4/3 + 6098001920*x**3/3 - 9542*x**2. Determine m, given that b(m) = 0.
-1, 1696
Factor 0 + 0*b - 40/7*b**2 + 12/7*b**4 + 52/7*b**3.
4*b**2*(b + 5)*(3*b - 2)/7
Factor 4/5*j**2 + 136/5*j + 372/5.
4*(j + 3)*(j + 31)/5
Let i(q) be the second derivative of q**6/45 + 2*q**5/15 - 17*q**4/18 - 8*q**3/3 + 