rd derivative of -14*u**2 + 3/2*u**3 + 11/48*u**4 - 13/60*u**5 + 1/672*u**8 + 2/105*u**7 - 1/20*u**6 + 0 + 0*u. Solve b(p) = 0 for p.
-9, -1, 1, 2
Let f(b) be the third derivative of b**8/84 - 4*b**7/35 - 2*b**6/5 + 38*b**5/15 - 7*b**4/2 - b**2 + 5*b - 568. Determine x, given that f(x) = 0.
-3, 0, 1, 7
Let q(u) be the first derivative of -u**4 + 28*u**3 + 44*u**2 - 486. Factor q(r).
-4*r*(r - 22)*(r + 1)
Factor 24/13 + 64/13*s + 10/13*s**2.
2*(s + 6)*(5*s + 2)/13
Suppose -18*z**3 - 89*z**2 + 16*z**3 + 77*z**2 = 0. What is z?
-6, 0
Find k such that 5*k**5 - 1660*k**3 - 1658*k**3 + 3303*k**3 - 10*k**2 = 0.
-1, 0, 2
Let p(m) = 48*m**3 - 4*m + 3. Let o be p(1). Let u = -45 + o. Solve 10*g - 5*g**3 - 14*g**2 + 7*g**2 + u*g**2 = 0.
-2, 0, 1
Suppose 186*a**2 - 1256*a + 2313*a**2 + 5144*a**3 + 3264*a**2 + 48 - 104*a - 2340*a**4 + 313*a**2 = 0. What is a?
-1, 2/45, 2/13, 3
Let a(g) be the third derivative of -g**6/120 + 4*g**5/15 - 29*g**4/24 + 7*g**3/3 - 7*g**2 - 28*g + 3. Factor a(p).
-(p - 14)*(p - 1)**2
Determine w so that -2/15*w**5 + 2*w**4 + 0 - 148/15*w**3 + 88/5*w**2 - 48/5*w = 0.
0, 1, 2, 6
Let u = -130 - -133. Factor x**u - 82566*x + 82556*x + 5*x**2 + 3*x**2 + 4 - 3*x**3.
-2*(x - 2)*(x - 1)**2
Let k = 496 + -388. Let x be (2 - 3) + 1 - k/(-54). Suppose 3/2 + 5/4*l**3 + 7/4*l - 9/2*l**x = 0. What is l?
-2/5, 1, 3
Let r(x) be the second derivative of -x**6/300 - 21*x**5/200 + 23*x**4/60 + 302*x - 2. Suppose r(z) = 0. What is z?
-23, 0, 2
Let q(n) = 5*n - 3. Let o be q(2). Let i = -146 + 171. Factor 19 + 8*k + i*k**2 - o - 29*k**2.
-4*(k - 3)*(k + 1)
Factor 76/7*n**2 - 10/7*n**3 - 38/7*n - 4.
-2*(n - 7)*(n - 1)*(5*n + 2)/7
Let c be ((-87)/174)/(((-7)/(-16))/((-4)/8)). Factor 0*m + 0 + 8/7*m**2 + 12/7*m**3 + c*m**4.
4*m**2*(m + 1)*(m + 2)/7
Factor -13 - 93*t + 373*t - 167 - 111*t + 12*t**2 - 3*t**3 - 118*t.
-3*(t - 5)*(t - 3)*(t + 4)
Find s, given that 188/21*s - 2/21*s**2 + 190/21 = 0.
-1, 95
Let q = 19806 + -19792. Let o(s) be the second derivative of -7/5*s**5 - 40/3*s**3 - 23/3*s**4 - q*s + 0 - 8*s**2. Factor o(n).
-4*(n + 1)*(n + 2)*(7*n + 2)
Let w(b) be the third derivative of b**8/1344 - b**7/280 - 31*b**6/240 - 2*b**5/5 + 5*b**4/3 - 196*b**2 + 10. Find o, given that w(o) = 0.
-4, 0, 1, 10
Suppose -4*s + 4*v + 38 + 42 = 0, 5 = -v. Suppose 4*o + o = 4*r + 20, -3*r - s = 3*o. Solve 3/4*c**5 + 3*c**3 + 1/4*c + 5/2*c**4 + o + 3/2*c**2 = 0.
-1, -1/3, 0
Suppose 16*m = -44*m. Let z(v) be the first derivative of 0*v + m*v**5 + 0*v**2 + 0*v**3 - 1/32*v**4 - 15 + 1/48*v**6. Determine y, given that z(y) = 0.
-1, 0, 1
Let j = -221 - -226. Factor -215 - 5136*o - 2638*o - 74*o**4 - 4179 - 2444*o**2 + 2*o**j + 860*o**3.
2*(o - 13)**3*(o + 1)**2
Let v(j) = 2*j**2 - 16*j + 32. Let x be 4/6 + (-620)/(-186). Let r be v(x). Factor 0*h + 2/5*h**4 - 4/5*h**2 + r + 2/5*h**3.
2*h**2*(h - 1)*(h + 2)/5
Suppose -3*r + 29 = -5*h, -4*h = 3*r + 24408 - 24482. Solve 16/3*u**2 - u + 4/3*u**4 - h*u**3 - 2/3 = 0 for u.
-1/4, 1, 2
Let r(d) = 39*d**2 - 1298*d - 422500. Let w(n) = -137*n**2 + 3893*n + 1267500. Let h(s) = 7*r(s) + 2*w(s). Find b, given that h(b) = 0.
-650
Let v be 64/1120*6762/(-18)*1/(-1). Factor -188/15*a**3 - v*a + 98/15 + 34/15*a**4 + 76/3*a**2 - 2/15*a**5.
-2*(a - 7)**2*(a - 1)**3/15
Let f(l) be the second derivative of -l**6/96 + 11*l**5/96 + 5*l**4/24 - 37*l**3/6 - 20*l + 1. Let r(d) be the second derivative of f(d). Factor r(g).
-5*(g - 4)*(3*g + 1)/4
Let r(x) = 9*x**2 + 6*x + 9. Let w(z) = 3*z**2 + 2. Let q(m) = 16*m**2 + 5*m + 12. Let a(b) = q(b) - 3*w(b). Let u(k) = -4*a(k) + 3*r(k). Factor u(h).
-(h - 1)*(h + 3)
Factor 149215*y**4 + 1390*y**2 + 1522*y**2 - 149211*y**4 - 393*y - 1543*y - 980*y**3.
4*y*(y - 242)*(y - 2)*(y - 1)
Let a(v) be the second derivative of -v**4/4 - 154*v**3 + 930*v**2 + 69*v - 1. Suppose a(p) = 0. Calculate p.
-310, 2
Let o be (-200)/160 + (-74)/(-8). Let n(l) = 3*l**2 + 2*l + 1. Let t be n(-1). Factor -2*c - 3*c**2 + c + o*c**t + 6*c.
5*c*(c + 1)
Let j(h) be the first derivative of 4*h**3/15 + 769*h**2/5 - 154*h - 3287. Solve j(s) = 0.
-385, 1/2
Let u be ((-474)/30 + 14)*(-490)/399. Determine y, given that 22/19 - 4/19*y**2 + u*y = 0.
-1/2, 11
Let j(i) be the first derivative of 4*i**3/3 + 1012*i**2 + 256036*i + 1606. Determine z, given that j(z) = 0.
-253
Let a = 535996/236535 - -10/15769. Let 2/15*n**3 - a - 38/15*n**2 + 14/3*n = 0. Calculate n.
1, 17
Let n be -23 + 27 - (-3 - 145/(-21)). Let j(s) be the first derivative of -6/7*s**2 + 0*s + n*s**3 + 9. Solve j(a) = 0 for a.
0, 6
Let x(r) be the first derivative of r**3/3 + 83*r**2 - 1032*r + 1808. Factor x(f).
(f - 6)*(f + 172)
Solve 45*g**2 - 930*g**3 + 1932*g**3 + 5*g**5 - 917*g**3 - 45*g**4 - 90*g = 0 for g.
-1, 0, 1, 3, 6
Let h(z) = -z**2 - 100*z + 2504. Suppose b + 3*b = 2*u, b - 9 = -4*u. Let o(v) = -6*v**2 - 500*v + 12522. Let c(y) = u*o(y) - 11*h(y). Factor c(n).
-(n - 50)**2
Let t = -8182 + 8185. Let i(f) be the second derivative of -3/2*f**2 - 3/10*f**5 + 1/2*f**t + 1/2*f**4 + 0 + 1/14*f**7 - 12*f - 1/10*f**6. Factor i(p).
3*(p - 1)**3*(p + 1)**2
Let a = 5724 - 5722. Let s(f) be the second derivative of 1/18*f**4 - 1/60*f**5 - 1/3*f**a + 0 - 32*f + 1/18*f**3. Suppose s(g) = 0. Calculate g.
-1, 1, 2
Suppose -3*x + 12 = -i, 0*i - 5*i = -3*x + 12. Suppose -15 = j - 4*j, -5*z + j = -10. Factor n + n**2 - x*n**z - 3*n - 2*n - 9*n**2.
-4*n*(n + 1)**2
Let a(n) = 7*n**4 - 13*n**3 - 9*n**2 + 8*n + 17. Let j(m) = 6*m**4 - 10*m**3 - 10*m**2 + 6*m + 16. Let u(z) = 4*a(z) - 5*j(z). Solve u(b) = 0.
-3, -1, 1, 2
Let h = -63 - -55. Let q(j) = -j**3 - 7*j**2 + 5*j - 22. Let o be q(h). Let -6*c**3 + 6*c**2 - 204*c**4 - 2*c**o + 206*c**4 = 0. Calculate c.
0, 1, 2
Let s(r) be the second derivative of r**7/21 - 13*r**6/15 - 3*r**5/10 + 41*r**4/6 - 26*r**3/3 + 796*r + 2. Solve s(c) = 0.
-2, 0, 1, 13
Let r be (((-9)/(-40))/(28*(-42)/(-32340)))/((-3)/(-4)). Let 5/2*o**4 + 10*o**2 + 0 - 4*o - r*o**3 - 1/4*o**5 = 0. What is o?
0, 1, 4
Let a(v) = 2*v**4 + v**3 + v**2 + v. Let i(c) = 52*c**4 - 396*c**3 - 1344*c**2 - 680*c + 224. Let t(x) = -8*a(x) + i(x). Let t(l) = 0. What is l?
-2, -1, 2/9, 14
Let r(y) be the second derivative of 0*y**3 + 0*y**2 + 1/100*y**5 + y + 33 + 3/20*y**4. Factor r(p).
p**2*(p + 9)/5
Factor -46/11*r**2 - 2/11*r**3 - 214/11*r - 170/11.
-2*(r + 1)*(r + 5)*(r + 17)/11
Let k(y) = y**2. Let j(w) = -3 + 24*w - 7*w**2 - 10*w**2 - 6. Let a(g) = -88*g - 1494. Let v be a(-17). Let s(m) = v*k(m) + j(m). Factor s(q).
-3*(q - 1)*(5*q - 3)
Let u(j) = -j**4 + 20*j**3 - 10*j**2 - 20*j + 11. Let y(v) = -4*v**3 + 2*v**2 + 4*v - 2. Let w be (7 + 3)/(75/15). Let q(t) = w*u(t) + 11*y(t). Factor q(b).
-2*b*(b - 1)*(b + 1)*(b + 2)
Suppose -4*z + 4*b = -z + 2, 5*z - 20 = -5*b. Suppose 12 - 74*o**z + 71*o**2 + 0*o - 9*o = 0. What is o?
-4, 1
Let q(y) be the first derivative of -24*y**5/5 - 39*y**4 - 126*y**3 - 405*y**2/2 - 162*y - 2726. Find n, given that q(n) = 0.
-2, -3/2
Let t(m) = -16*m**2 + 360*m - 8130. Let h(f) = -36*f**2 + 720*f - 16270. Let g(o) = 3*h(o) - 7*t(o). Find d such that g(d) = 0.
45
Let w(m) = -4*m**3 + 16*m**2 - 80*m - 94. Let o(l) = -7*l**3 + 27*l**2 - 160*l - 187. Let t(z) = -6*o(z) + 11*w(z). Factor t(d).
-2*(d - 11)*(d + 2)**2
Let -30/17*v - 2/17*v**5 - 76/17*v**2 + 24/17*v**4 + 52/17 + 32/17*v**3 = 0. Calculate v.
-2, -1, 1, 13
Let g = 73946 - 73944. Find p, given that -1/4*p**4 - 3/4*p - 1/4*p**g + 1/2 + 3/4*p**3 = 0.
-1, 1, 2
Let v = -396 + 414. Let y(f) be the third derivative of v*f**2 + 0 + 0*f**3 + 1/280*f**7 + 3/80*f**5 - 3/160*f**6 + 0*f - 1/32*f**4. Solve y(c) = 0.
0, 1
Find s, given that -3/5*s**3 - 93/5*s**2 - 672/5*s + 768/5 = 0.
-16, 1
Let k(p) be the first derivative of 0*p + 4/3*p**3 - 8*p**2 - 25. Let k(l) = 0. Calculate l.
0, 4
Let x(m) be the third derivative of m**4/24 + 7*m**3/3 + 15*m**2. Let h be x(-11). What is f in -3*f**3 - 3*f**5 + 8*f - 4*f**4 - 12*f**h - 3*f**3 + 9*f**5 = 0?
-1, 0, 2/3, 2
Let a be (-3811)/(-1854) + -4 + 4/2. Let i(b) be the first derivative of -1/3*b**2 + a*b**3 + 4 + 2/3*b. Let i(n) = 0. Calculate n.
2
Suppose 5172 = 35*m + 5067. What is c in 6/17*c**m - 8/17 - 2/17*c**4 + 10/17*c**2 - 6/17*c = 0?
-1, 1, 4
Let h(a) be the second derivative of 1/12*a**6 + 0*a**2 + 7/8*a**5 + 0 - 5/24*a**4 - 57*a - 35/12*a**3. F