 be the first derivative of o(k). Solve t(p) = 0.
-9, 1
Factor 524*k**2 - 6*k**3 + 6*k**3 - 4*k**3 - k**3 - 654455 - 50215*k - 1449*k**2.
-5*(k + 19)*(k + 83)**2
Let f be (-12)/(-27)*216/48. Let 10/7*x**f + 0 + 1/7*x**3 + 9/7*x = 0. What is x?
-9, -1, 0
What is z in 22/5*z - 2/5*z**2 + 84 = 0?
-10, 21
Determine m, given that 6/11*m**2 + 690/11*m + 0 = 0.
-115, 0
Suppose 2*i = -5*h + 2*h - 2, -h - 4*i + 6 = 0. Let f(g) = g**2 - g + 1. Let o(c) = -8*c**2 - 16*c - 2. Let a(t) = h*o(t) + 4*f(t). Find b, given that a(b) = 0.
-1, -2/5
Let j be (454/8)/((-42)/336). Let h = 458 + j. Factor -1/2*n**h - 1/2*n**3 + 1/2*n**2 + 1/2*n + 0.
-n*(n - 1)*(n + 1)**2/2
Suppose 32*f - 35*f = -30. Let g be (-8 + 125/15)*f. Factor 5/3*v**5 - 80/3*v**2 - 10*v**4 + 70/3*v**3 + 15*v - g.
5*(v - 2)*(v - 1)**4/3
Let s(a) be the first derivative of -a**5/15 + a**4 - 6*a**3 + 19*a**2/2 + 20. Let z(d) be the second derivative of s(d). Solve z(j) = 0 for j.
3
Let y be 167 + -201 - 318/(-9). Factor -22/9*j + y*j**2 - 2/9*j**3 + 4/3.
-2*(j - 3)*(j - 2)*(j - 1)/9
Let x = 6518 - 123838/19. Let z = 203/1748 + -1/92. Find y such that 2/19*y**3 - x - 2/19*y - z*y**4 + 6/19*y**2 = 0.
-1, 1, 2
Suppose 44 = 2*h + j, -3*h - 5*j = -6*h + 40. Suppose -4*q - 2*w = -h + 6, -2*q - 4*w + 10 = 0. Factor -5*x + 5 - x**3 - x**2 + q - 7*x + 7*x**2.
-(x - 2)**3
Let r(s) be the third derivative of -s**5/120 + 77*s**4/48 + 13*s**3/2 + 2*s**2 + 381. Suppose r(w) = 0. What is w?
-1, 78
Let r(p) = -2*p**2 + 1674*p - 1663. Let c(n) = -11*n**2 + 10043*n - 9981. Let b(s) = 6*c(s) - 34*r(s). Factor b(a).
2*(a - 1)*(a + 1672)
Let v be (-4)/(-32) + (-12485)/40. Let u = 314 + v. Let 2/3*r**3 + 0 + 1/3*r**u - 1/3*r**4 - 2/3*r = 0. What is r?
-1, 0, 1, 2
Let w(l) be the first derivative of -1/6*l**4 - 5/3*l**2 + 0*l - 4/3*l**3 - 265. Find b, given that w(b) = 0.
-5, -1, 0
Suppose 5*j - 178 = 2*s, -3*j + 5*s - 3*s = -106. Let c = -32 + j. Find d, given that 7*d**4 - 25*d**c + d + 32*d**3 - 14*d**2 + d - 2*d**3 = 0.
0, 1/3, 1
Suppose 30*a - 13*a = -16*a. Let f(c) be the third derivative of 0 - 3/5*c**3 + 22*c**2 + a*c - 1/25*c**5 + 11/40*c**4. Suppose f(p) = 0. What is p?
3/4, 2
Let k = 14347/3 - 4781. Let o(j) be the first derivative of 8*j - k*j**3 + 8 - 2*j**2. Find p, given that o(p) = 0.
-2, 1
Let j(x) = 5*x**3 - x**2 + 2*x - 1. Let w be j(1). Suppose 2*t - 6*t = -w*p - 36, -5*t - 5*p = 0. Factor 5*b**5 - b**4 - b**3 - b**t + 7*b**4 - 9*b**3.
5*b**3*(b - 1)*(b + 2)
What is s in 0*s + 6/5*s**4 - 8/5*s**2 - 2/5*s**5 + 0*s**3 + 0 = 0?
-1, 0, 2
Let g be 1*15*4/10. Suppose 0 = t - 3*v + g, 2*t - 5*v + 2*v + 3 = 0. Find s, given that 0 + t*s - 1/2*s**2 = 0.
0, 6
Factor -388/5*b**2 + 3/5*b**4 - 8*b**3 + 0 - 48*b.
b*(b - 20)*(b + 6)*(3*b + 2)/5
Let w(z) be the first derivative of 8 - 8/39*z**3 + 1/26*z**4 + 5/13*z**2 - 4/13*z. Let w(y) = 0. What is y?
1, 2
Let x = -14686/209 - -788/11. Let n = x - 196/171. Solve 0 - 2/9*i**2 + n*i = 0 for i.
0, 1
Let o = 27 - 22. Suppose o*r - 21 = 4*k, 2*r + 0*k = k + 9. What is p in -4*p + 5*p**3 + p**3 + 2 - 5 - 3*p - 2*p**2 + 5*p**4 + p**r = 0?
-3, -1, 1
Suppose 39*z = 17*z + 44. Suppose -12 = 41*u - 42*u - z*l, u - 4*l = -18. Factor 0*r + 0 - 1/2*r**u - 3/2*r**3 + 2*r**4.
r**2*(r - 1)*(4*r + 1)/2
Let o(g) be the second derivative of g**6/195 + g**5/10 + 23*g**4/78 + 11*g**3/39 - 143*g + 3. Solve o(r) = 0 for r.
-11, -1, 0
Suppose -4*y + 3*y + 422 = -4*u, -4*y - 3*u = -1745. Let g = y + -432. Solve 0 + 14/9*d**3 + 10/9*d**g - 4/9*d = 0 for d.
-1, 0, 2/7
Let u(v) = 120*v**4 + 6292*v**3 - 6504*v**2 - 6264*v + 6272. Let k(i) = -13*i**4 - 699*i**3 + 722*i**2 + 696*i - 697. Let z(n) = -28*k(n) - 3*u(n). Factor z(f).
4*(f - 1)**2*(f + 1)*(f + 175)
Let n = 478 - 705. Let p = n + 686/3. Solve -4/3*g**2 + 0 - 8/3*g**3 + 0*g - 1/3*g**5 - p*g**4 = 0.
-2, -1, 0
Let u(i) be the first derivative of 3*i**5/80 + 7*i**4/16 + 5*i**3/4 - 16*i - 40. Let r(n) be the first derivative of u(n). Factor r(l).
3*l*(l + 2)*(l + 5)/4
Suppose -710/3*q - 2000/9 - 2/9*q**3 - 44/3*q**2 = 0. What is q?
-40, -25, -1
Let i be 24/(-22)*1 - -2547*(-14)/(-3465). Factor i*f**3 + 0*f + 6/5*f**4 + 0 - 16/5*f**2.
2*f**2*(f + 8)*(3*f - 1)/5
Let w = -285 + 299. Solve -15*u + 117*u**4 - 2*u**2 - 115*u**4 - 2*u**5 + w*u**3 + 3*u = 0 for u.
-2, -1, 0, 1, 3
Factor -20*p**2 + 74 - 74 - 140*p**2 - 2*p.
-2*p*(80*p + 1)
Let a(u) be the second derivative of 0*u**2 + 0*u**3 + 1/147*u**7 + 3/35*u**6 + 11/42*u**4 + 8 - 3*u - 3/10*u**5. Factor a(b).
2*b**2*(b - 1)**2*(b + 11)/7
Let n(w) be the first derivative of -4/5*w**5 + 4/3*w**3 + 1/21*w**6 + 0*w - 7*w**2 - 3 + 24/7*w**4. Determine b, given that n(b) = 0.
-1, 0, 1, 7
Let h(n) be the second derivative of -n**8/13440 + n**7/630 - 5*n**4/12 - n**2 - 46*n. Let z(f) be the third derivative of h(f). Factor z(i).
-i**2*(i - 8)/2
Let d = -227 - -239. Let d*c**5 + 461*c - 469*c + 39*c**4 + 5*c**4 + 44*c**3 + 4*c**2 = 0. Calculate c.
-2, -1, 0, 1/3
Let v be (7 + -33)*(-2)/4. Suppose -4*i + 9 = -3*a - v, i + 4*a + 4 = 0. Factor 4*c**2 - 4 - 434*c**4 + 430*c**i + 4.
-4*c**2*(c - 1)*(c + 1)
Solve -2/5*p**2 + 1/10*p**5 + 0*p**4 + 0 - 9/10*p**3 + 6/5*p = 0 for p.
-2, 0, 1, 3
Let y(w) = 104*w**3 + 202*w**2 + 4*w - 16. Let i(n) = 104*n**3 + 206*n**2 + 4*n - 16. Let m(u) = 6*i(u) - 4*y(u). Solve m(v) = 0 for v.
-2, -4/13, 1/4
Let n be (1 - 0)/(16/64). Factor -1 - 3*l**n - 131*l**3 - 3 + 9*l**2 + 3*l + 128*l**3 - 2.
-3*(l - 1)**2*(l + 1)*(l + 2)
Let p(i) be the first derivative of 5*i**6/6 + 2*i**5 - 55*i**4/4 - 20*i**3 + 3425. Factor p(n).
5*n**2*(n - 3)*(n + 1)*(n + 4)
Suppose 4*w - 212 + 184 = 0, -14 = -3*r - 2*w. Let m(q) be the third derivative of 0 + 0*q**3 - 8*q**2 - 1/120*q**5 + 1/6*q**4 + r*q. Factor m(b).
-b*(b - 8)/2
Factor -1/5*u**2 - 432964/5 - 1316/5*u.
-(u + 658)**2/5
Let v be 6/2 - (1 + -1). Let t(n) be the second derivative of 0 + 0*n**2 + 5/72*n**4 - 3*n + 5/36*n**v. Factor t(z).
5*z*(z + 1)/6
Let l(w) be the second derivative of 2*w**6/15 - 19*w**5/5 + 16*w**4 + 8*w**3/3 - 128*w**2 + 31*w + 21. Factor l(f).
4*(f - 16)*(f - 2)**2*(f + 1)
Suppose 2*a = -2*v - 476, 5*a - 11*v = -10*v - 1220. Let x = 245 + a. Solve -f + 0 - 1/3*f**x = 0 for f.
-3, 0
Let g(u) be the second derivative of 4*u**6/15 - 659*u**5/110 + 391*u**4/22 - 545*u**3/33 - 13*u**2/11 - 65*u - 30. Find i such that g(i) = 0.
-1/44, 1, 13
Let b(m) be the second derivative of m**5/330 + m**4/22 + 3*m**3/11 + 43*m**2 + 3*m + 19. Let y(s) be the first derivative of b(s). Factor y(a).
2*(a + 3)**2/11
Suppose 4*t + 3 = 3*c + 39, -4*t = c - 52. Factor 7/2*u**3 - 2 + 13/2*u - 1/2*u**c - 15/2*u**2.
-(u - 4)*(u - 1)**3/2
Let w = -87 - -51. Let t be (-6)/w - (55/6)/(-5). Suppose 7*s + 4*s**t + 11*s + 11*s + 11*s + 100 = 0. What is s?
-5
Find w such that -1904*w + 16*w**2 + 0*w**2 - 51*w**2 - 453152 + 16*w**2 + 17*w**2 = 0.
-476
Let g = 775 - 771. Let -160*v**5 - 7*v**g + 89*v - 329*v**4 + 288*v**2 + 12 + 49*v - 28*v + 86*v**3 = 0. What is v?
-2, -3/5, -1/4, 1
Let f(q) be the first derivative of 5*q**6/12 - 29*q**5 + 555*q**4/8 + 145*q**3/3 - 140*q**2 - 1480. Let f(v) = 0. Calculate v.
-1, 0, 1, 2, 56
Let c(q) be the third derivative of -q**5/480 + 7*q**4/192 + 13*q**3/8 - 76*q**2 + 18*q. Factor c(j).
-(j - 13)*(j + 6)/8
Determine k so that -9*k**4 - 541*k**2 + 3 - 953*k**3 + 564*k**3 - 21*k**4 - 10*k**4 - 38*k**4 - 227*k = 0.
-3, -1, 1/78
Let b be ((-6)/(-3) - -4) + -4. Determine h, given that -b*h - 3*h**2 - 234 + 119 + 120 = 0.
-5/3, 1
Let m be 10/1500*-18*780/(-9). Solve 1/5*r**5 + 37/5*r**3 - 16/5 - 64/5*r**2 - 2*r**4 + m*r = 0.
1, 2, 4
Let f = -231 - -225. Let r(v) = 11*v**3 + 4*v**2 + v + 2. Let u(h) = -9*h**3 - 4*h**2 - 2. Let d(c) = f*u(c) - 5*r(c). Find x, given that d(x) = 0.
1, 2
Let w(k) be the first derivative of -3*k**4/20 + 7*k**3 - 192*k**2/5 + 372*k/5 + 1403. Factor w(p).
-3*(p - 31)*(p - 2)**2/5
Let c(o) be the second derivative of o**7/91 + 59*o**6/195 + 277*o**5/130 - 53*o**4/26 - 280*o**3/39 + 100*o**2/13 - 2*o - 25. Solve c(j) = 0 for j.
-10, -1, 1/3, 1
Let q(z) be the third derivative of z**5/120 - 9*z**4/2 + 215*z**3/12 - 1227*z**2. Factor q(p).
(p - 215)*(p - 1)/2
Let y be 13054/(-8) - (99/6)/33. Let a = -1632 - y. Suppose 1/4*f**2 + 0*f + 1/4*f**5 - 1/4*f**3 - a*f**4 + 0 = 0. What is f?
-1, 0, 1
Let