752 - 1867*c.
-4*(c - 75)*(c - 10)**2
Let u(v) be the third derivative of -v**9/30240 + v**8/3360 + v**7/2520 - v**6/120 + 2*v**5 + 80*v**2. Let j(i) be the third derivative of u(i). Factor j(r).
-2*(r - 3)*(r - 1)*(r + 1)
Let j(o) = 12*o**2 + 73*o + 45. Let f(z) = 220*z + 359*z**2 + 83 + 53 - 325*z**2. Let u(p) = 3*f(p) - 8*j(p). Find k, given that u(k) = 0.
-12, -2/3
Let h(b) = 6*b**4 - 14*b**3 + 195*b**2 - 760*b + 1005. Let r(x) = x**4 + 2*x**3 - 2*x**2 - 2*x + 1. Let s(l) = -h(l) + 5*r(l). Factor s(a).
-(a - 10)*(a - 5)**2*(a - 4)
Let n be (-8 - 0)*132/(-1848). Find l such that 10/21*l**4 - 2/21*l**5 + 0*l**2 + n*l**3 + 0*l + 0 = 0.
-1, 0, 6
Let o be -3 + (-8 - -284) - -7. Find v such that 2*v**2 - 115*v - 135*v + o*v - 32 = 0.
-16, 1
Let l = 1265693/271218 + -3/90406. Factor -2/3*i**3 + l*i + 0 - 4*i**2.
-2*i*(i - 1)*(i + 7)/3
Determine k, given that -30*k**2 - 22*k**2 - 2*k**3 - 14*k**2 + 56 + 8*k + 52*k**2 = 0.
-7, -2, 2
Let z(i) be the third derivative of i**7/315 - 7*i**6/36 + 67*i**5/90 - 11*i**4/12 - 19*i**2 - 22*i. Factor z(a).
2*a*(a - 33)*(a - 1)**2/3
Let 14*c**2 + 100/7 - 1/7*c**3 + 199/7*c = 0. Calculate c.
-1, 100
Let s(p) = p**3 - 3*p**2 - 5. Let g be s(3). Let h(j) = -27*j - 132. Let i be h(g). Factor 0*k**i + 0 + 3/7*k - 3/7*k**5 + 6/7*k**4 - 6/7*k**2.
-3*k*(k - 1)**3*(k + 1)/7
Suppose -3*h = 5*z - 10505, -86*z - 6297 = -89*z - 3*h. Let o = -8409/4 + z. Factor -1/4*i + o*i**3 - i**4 - 1/2*i**2 + 0.
-i*(i - 1)**2*(4*i + 1)/4
Let l(f) = f**2 + 151*f + 4893. Let u be l(-47). Factor -5/3*s**2 + u + 5/6*s**3 - 25/6*s.
5*(s - 3)*(s - 1)*(s + 2)/6
Let f(i) = -25*i - 11. Let o be f(-3). Suppose -5*a = 3*a - o. Factor -9*y - a*y**2 + y**2 - 14*y**3 + y**2 + 17*y**3.
3*y*(y - 3)*(y + 1)
Let t(w) be the second derivative of w**4/8 - 31*w**3/4 + 225*w**2/2 - 1731*w. What is u in t(u) = 0?
6, 25
Let d(b) be the first derivative of -16 - 17*b + 0*b**2 - 1/30*b**5 + 1/54*b**4 + 0*b**3. Let x(o) be the first derivative of d(o). Factor x(h).
-2*h**2*(3*h - 1)/9
Let p be (-1*(-6)/15)/((-1)/(-50)). Factor -p*u**3 - 729 - 270*u**2 + 39*u**3 + 972*u + 9*u**3 - u**4.
-(u - 9)**3*(u - 1)
Let l be ((-23 - -9) + 10)*1. Let z be (-118)/(-295)*6/l - -1. Factor 4/5 - 2/5*f**3 + 2/5*f**4 + z*f - 6/5*f**2.
2*(f - 2)*(f - 1)*(f + 1)**2/5
Factor -65*f + 4*f**2 + 90*f + 495*f.
4*f*(f + 130)
Let w(o) = -o**3 + 9*o**2 - 7*o + 6. Let h be w(7). Let c = h - 53. Determine y, given that 3*y - y**2 + 2 - y - 5 + c = 0.
1
Let g(s) be the second derivative of s**7/126 - 4*s**6/15 + 4*s**5/3 + 737*s**4/18 - 2299*s**3/6 - 9317*s**2/3 + s + 136. What is j in g(j) = 0?
-7, -2, 11
Solve 0 + 1/2*n**2 - 13/2*n = 0.
0, 13
Let j be (5 + 1)/((3 - (6 - 4))*(38 + -29)). What is s in -1/3*s**2 + 0 + j*s = 0?
0, 2
Let p(k) be the third derivative of 2*k**2 + 1/400*k**6 + 0*k**3 - 17*k - 1/2100*k**7 - 1/60*k**4 + 0 + 0*k**5. Factor p(m).
-m*(m - 2)**2*(m + 1)/10
Let g be 2/(-136)*(-7)/(91/(-6305)). Let j = -117/17 - g. Determine h so that j*h**2 + 4*h + 16 = 0.
-8
Factor 497*f**2 + 1589*f**3 - 791*f**3 + 20501*f - 795*f**3 - 6889.
(f + 83)**2*(3*f - 1)
Suppose -17*o = -3*o + 2*o. Let l(v) be the second derivative of -8/15*v**3 + o - 1/75*v**6 - 3/25*v**5 + 0*v**2 - 15*v - 2/5*v**4. Factor l(u).
-2*u*(u + 2)**3/5
Let c be 60/((-5 - (-5)/2) + 4). Suppose -a**3 + 9*a**2 + 72 - 20*a - 5*a**2 + 10*a**2 - c*a = 0. Calculate a.
2, 6
Let a be ((-1785)/280 + 7)/(2/16). Solve -1 + 7/4*o**2 + 1/4*o**3 - 3/4*o**4 + 0*o - 1/4*o**a = 0 for o.
-2, -1, 1
Let 689*q**2 - 1371*q**2 - 3*q**3 - 3*q**4 + 685*q**2 + 3*q**5 = 0. What is q?
-1, 0, 1
Determine y, given that -157*y**2 - 70*y**2 + 281*y**2 + 465*y - 7688 + y**3 = 0.
-31, 8
Let t(r) be the second derivative of 26*r**4/15 + 2*r**3/5 + 30*r - 20. Solve t(v) = 0.
-3/26, 0
Suppose 2*f - 39 = -0*f - 7*b, 3*b - 9 = 3*f. Factor 0*i**f + 0 + 2/9*i**3 + 0*i.
2*i**3/9
Let z = -245 - -289. What is r in -2*r**4 - z*r**5 + 47*r**5 - 13*r**4 = 0?
0, 5
Let y(c) be the second derivative of -c**5/70 + 11*c**4/21 - c**3 - 51*c - 5. What is w in y(w) = 0?
0, 1, 21
Suppose -66*y + 169 = -95. Let n(s) be the second derivative of -1/20*s**5 + 0 + 0*s**2 - 1/12*s**y - 12*s + 1/30*s**6 + 1/6*s**3. Factor n(q).
q*(q - 1)**2*(q + 1)
Let f be ((-27)/2)/(3/(-26 - 4)). Let f*o**3 + o**5 - 6*o**5 - 145*o**2 - 28*o**4 + 12*o**4 + 50*o - 19*o**4 = 0. What is o?
-10, 0, 1
Let m(k) be the second derivative of 10/3*k**3 - 3*k + 0*k**2 - 5 - 4/3*k**4 - 6/5*k**5 + 2/21*k**7 + 8/15*k**6. Factor m(j).
4*j*(j - 1)**2*(j + 1)*(j + 5)
Let t = -21965 - -21970. Determine z, given that -8/5*z**t + 14/5*z**2 - 16/5*z**4 + 4/5*z + 6/5*z**3 + 0 = 0.
-2, -1/2, 0, 1
Let u be (-5382)/13041 - (-30)/35. Suppose -8/9*m + 5/9*m**2 + u - 1/9*m**3 = 0. Calculate m.
1, 2
Let t(p) be the third derivative of p**7/84 - 3*p**5/2 - 2*p**2 - 23*p - 1. Let t(x) = 0. What is x?
-6, 0, 6
Let v(w) be the second derivative of 77/20*w**5 - 26/3*w**3 + 49/30*w**6 + 0 - 4*w**2 + 54*w - 11/2*w**4. Solve v(b) = 0 for b.
-2, -2/7, 1
Let u(z) be the third derivative of 13*z**7/168 + 179*z**6/480 - 13*z**5/10 + 13*z**4/24 + 2*z**3/3 - 580*z**2. Suppose u(i) = 0. What is i?
-4, -2/13, 2/5, 1
Let v(s) = 19*s**2 - 298*s + 630. Let q(k) = 7*k**2 - 99*k + 210. Let d(c) = -11*q(c) + 4*v(c). Let d(l) = 0. Calculate l.
-105, 2
Suppose 3*s = 3*b + 102, 25*b - 21*b = -2*s + 20. Let t(v) be the first derivative of 405/2*v**4 + 300*v**3 + 35*v + 155*v**2 - 27*v**5 + s. Factor t(k).
-5*(k - 7)*(3*k + 1)**3
Let s(t) be the second derivative of 1/21*t**4 - 10/7*t**3 - 12*t - 1 + 4*t**2. Factor s(o).
4*(o - 14)*(o - 1)/7
Let d(s) be the third derivative of -s**5/15 - 2*s**4 - 70*s**3/3 + 481*s**2. Factor d(k).
-4*(k + 5)*(k + 7)
Let u(x) be the second derivative of x**7/10080 - x**6/960 - x**5/48 - 4*x**4/3 - 5*x + 19. Let b(q) be the third derivative of u(q). Factor b(w).
(w - 5)*(w + 2)/4
Let j be ((-6)/(-15))/2*((-165 - -170) + (-1 - 2)). What is g in -78/5 - 16*g - j*g**2 = 0?
-39, -1
Suppose -4*g + 16 = 17*z - 14*z, 4*g = z + 16. Let b be (-6)/8 - 9315/(-2916). Let z + b*n**2 + 4/3*n + 2/9*n**4 + 4/3*n**3 = 0. Calculate n.
-3, -2, -1, 0
Let -754*s - 377*s + 34*s + 5*s**2 + 1304 - 211*s - s**2 = 0. Calculate s.
1, 326
Suppose 18*n + 13*n = 31. Suppose a + y = -n, 20 = 2*a - 4*y - 8. Let -a*z**3 + 0 - 77/8*z**4 + 0*z - 1/2*z**2 - 49/8*z**5 = 0. Calculate z.
-1, -2/7, 0
Suppose -7*y - 100*y = 0. Let s(k) be the first derivative of -2*k**2 - 6*k**3 + k**4 + 23 + y*k + 18/5*k**5. Factor s(h).
2*h*(h - 1)*(h + 1)*(9*h + 2)
Let w(g) be the third derivative of 310249*g**6/160 - 312477*g**5/80 + 279*g**4/4 - g**3/2 - 2*g**2 - 69*g - 2. Find x such that w(x) = 0.
2/557, 1
Let z(p) be the second derivative of -5*p**5/4 - 635*p**4/12 - 1825*p**3/3 - 680*p**2 + 82*p - 1. What is a in z(a) = 0?
-17, -8, -2/5
Let d be (-22 + 48 + -20)*(6/(-9) + 1). Factor 3/2 + 1/2*t**d - 5/2*t + 1/2*t**3.
(t - 1)**2*(t + 3)/2
Suppose 149927*u - 54 = 149900*u. Factor -18*r + 6*r**u + 18 - 2/3*r**3.
-2*(r - 3)**3/3
Let w be 28/(-70) - 0 - (-12)/5. Let -778*x + 769*x - x**w + 12 - 2*x**2 = 0. Calculate x.
-4, 1
Let r be ((-16)/(-28))/(2/(-21)) + (-688)/(-112). Suppose -1/7*q**3 - r*q**4 + 0 + 0*q + 1/7*q**2 + 1/7*q**5 = 0. What is q?
-1, 0, 1
Let q = 416 - 414. Factor 19646*n - 19679*n - 14 - 3*n**q + 92.
-3*(n - 2)*(n + 13)
Let n(r) be the third derivative of 5*r**8/112 - 559*r**7/42 + 9251*r**6/8 - 53283*r**5/4 + 56025*r**4 - 60750*r**3 - 8056*r**2. What is y in n(y) = 0?
1/3, 3, 90
Let 396*o - o**2 - 254 + 4370 + 174 - 2*o**2 - 2535*o = 0. What is o?
-715, 2
Let f be (-14)/(-8)*624/728. Let z(t) be the third derivative of 19*t**2 + 1/20*t**5 + 5/8*t**4 + f*t**3 + 0*t - 1/40*t**6 + 0. Let z(n) = 0. What is n?
-1, 3
Suppose 12*t - 8*t = 72. Suppose -8*y**4 + 9*y**3 - 13*y**4 - 10*y**2 + t*y**4 + 4*y**2 = 0. What is y?
0, 1, 2
Let y be (68/(-6))/(3689/(-651)). Suppose -20*b + 17/4*b**y - 1/4*b**3 + 16 = 0. Calculate b.
1, 8
Suppose -3*i - l + 7 = -10, 0 = 3*i - 2*l - 2. Suppose -12*h**i - 4*h**5 + 3560*h**2 - 3548*h**2 + 4*h + 4*h - 4*h**3 = 0. Calculate h.
-2, -1, 0, 1
Suppose 1339 = 89*d - 866 + 425. Let -9/2*f**2 + 6 + d*f - 7/2*f**3 = 0. Calculate f.
-3, -2/7, 2
Let p(u) = -58*u + 24. Let b be p(2). Let w be 780/4*(b/16 + 6). Solve w*h**2 - 25/4*h**4 +