(u).
-5*u**3*(u - 1)*(u + 1)
Let -1/7*s**3 + 216/7 + 246/7*s + 29/7*s**2 = 0. What is s?
-6, -1, 36
Suppose -2*t + 12 = 5*y + 32, 5*t = -4*y - 33. Let g(p) = -p**2 + p - 1. Let h(i) = 60*i - i**2 - 4*i**2 - 58*i + 1. Let d(b) = y*g(b) + h(b). Factor d(m).
-3*(m - 1)*(m + 1)
Suppose -3*y = v + 35, -3*v + 1 = -4*y + 106. Let g = v - -38. Determine k so that -5*k**4 - 4*k**g + 15*k**2 + 16*k - k**3 + 10 + 9*k = 0.
-1, 2
Let i(d) be the third derivative of -1/45*d**5 + 0 + 0*d + 0*d**3 + 0*d**4 - 94*d**2 - 1/360*d**6. Factor i(v).
-v**2*(v + 4)/3
Let h(z) = 7*z**2 - 6112*z - 1739. Let s(c) = -7*c**2 - 1. Let u(x) = -h(x) - 5*s(x). Factor u(o).
4*(o + 218)*(7*o + 2)
Let z(u) = -12*u**3 + 240*u**2 + 759*u - 21. Let k(x) = 3*x**3 - 61*x**2 - 189*x + 5. Let v(c) = -21*k(c) - 5*z(c). Factor v(o).
-3*o*(o - 29)*(o + 2)
Let m(d) = -2*d**2 - 420*d - 928. Let s(c) = c**2 + 168*c + 372. Let b(q) = 5*m(q) + 12*s(q). Factor b(v).
2*(v - 44)*(v + 2)
Let h be (294/(-22))/(6693/(-8924)). Find x, given that 24/11*x**3 - 42/11*x**2 + 0 - h*x - 2/11*x**4 = 0.
-2, 0, 7
Suppose 4591 - 18241 = 7*b. Let r be 8/(-60) + (-2960)/b. Solve -10/13*n**2 + r + 6/13*n + 2/13*n**3 = 0 for n.
-1, 3
Factor 78*r**3 - 19*r**3 - 164*r**2 - 14*r**3 - 22*r**3 + 1536 - 19*r**3 - 1376*r.
4*(r - 48)*(r - 1)*(r + 8)
Let k(b) be the second derivative of -1083/4*b**2 + 19/4*b**3 + 0 - 125*b - 1/32*b**4. Determine x, given that k(x) = 0.
38
Let o be 4/40*1 + 22152/80. Let u = o + -275. Determine r, given that 6/7*r**3 + 12/7*r**4 + 6/7*r**5 + 0*r + 0*r**u + 0 = 0.
-1, 0
Let v = 17624/3 + -28092653/4782. Let h = v - -3179/14346. Solve 0*s + 2/9*s**3 + 0 - 2/9*s**5 + h*s**2 - 2/9*s**4 = 0 for s.
-1, 0, 1
Factor 14*i + 9520*i + 3*i**2 + 6212163 - 135*i - 765*i.
3*(i + 1439)**2
Let p = -1586 + 1588. Let g(s) be the first derivative of 0*s**p - 5/4*s**3 + 2 - 1/4*s**5 + 25/16*s**4 - 5/24*s**6 + 0*s. Factor g(c).
-5*c**2*(c - 1)**2*(c + 3)/4
Let n = 961 + -723. Let x = n + -236. Factor 0 + 5/6*r**4 + 0*r + 7/6*r**3 + 1/3*r**x.
r**2*(r + 1)*(5*r + 2)/6
Let p(s) = -2*s - 1. Let i(q) be the first derivative of -4*q**3/3 + 32*q**2 - 132*q + 197. Let l(u) = -i(u) + 24*p(u). Determine b, given that l(b) = 0.
1, 27
Suppose -5*u + 25 = 5*w, -3*u = 2*w + u - 14. Let j(k) be the first derivative of 1/3*k**2 + 4/9*k**w + 1/6*k**4 - 13 + 0*k. Determine f so that j(f) = 0.
-1, 0
Let h(w) be the second derivative of 23*w**6/60 + 163*w**5/40 - 169*w**4/6 - 5*w**3 + 10*w + 92. Let h(s) = 0. What is s?
-10, -2/23, 0, 3
Suppose 3*c = 2*j - 17 - 13, j + 11 = -5*c. Factor -j*s**3 - 10*s**3 + 15*s**3 + 16*s + 12*s**2.
-4*s*(s - 4)*(s + 1)
Let w(x) be the first derivative of 1/34*x**4 + 45/17*x**2 + 129 - 8/17*x**3 - 100/17*x. Solve w(b) = 0.
2, 5
Let t(q) = 15*q - 112. Let p be t(7). Let l(w) = w**3 + 4*w**2 - 23*w - 11. Let a be l(p). Suppose -3/4 - 9/4*y**2 - 9/4*y - 3/4*y**a = 0. What is y?
-1
Let m(p) be the third derivative of 1/300*p**6 + 1/15*p**5 + 2*p**3 + 31/60*p**4 + 0*p - 1 - 3*p**2. Solve m(u) = 0.
-5, -3, -2
Let s(m) be the first derivative of -195 - 67/2*m**2 - 4489/2*m - 1/6*m**3. Factor s(i).
-(i + 67)**2/2
What is h in -244*h**3 + 14*h**5 - 2*h**3 - 482*h**2 + 14*h**4 + 472*h + 60*h**4 + 168 = 0?
-7, -2, -2/7, 1, 3
Let l(n) be the third derivative of -20*n**2 + 0*n + 0*n**3 - 1 - 19/12*n**4 - 1/30*n**5. Factor l(t).
-2*t*(t + 19)
Let l(g) be the second derivative of -g**5/72 + 8*g**4/9 + 13*g**3/9 - 87*g**2/2 - 113*g. Let r(c) be the first derivative of l(c). Factor r(b).
-(b - 26)*(5*b + 2)/6
Let d(w) = 1937*w + 87256. Let h be d(-45). Factor h*x + 36 + 5/2*x**2.
(x + 36)*(5*x + 2)/2
Suppose -2*h = 2*h - 3*d + 123, 93 = -4*h - 3*d. Let l be 6/h - 94/(-18). Find u, given that 6*u + 2 + 8 - 11*u - l*u**2 = 0.
-2, 1
Let i(x) be the second derivative of -1/6*x**6 + 22*x + 0 + 10/3*x**4 + 0*x**2 + 0*x**3 + 1/2*x**5. Solve i(m) = 0 for m.
-2, 0, 4
Let h(w) = 35*w**2 - 1845*w + 4270. Let s(q) = -3*q**2 + 168*q - 388. Let y(b) = -4*h(b) - 45*s(b). Factor y(c).
-5*(c - 2)*(c + 38)
Let t = -323 + 326. What is h in -16*h**4 - 3*h**5 - 36*h**2 + 2*h**4 + 5*h**3 - 28*h**3 - 25*h**t - 7*h**4 = 0?
-3, -2, 0
Let l = -2/781523 + 3126142/19538075. Find u such that -18/25*u**3 - 2/25*u**5 - l*u + 2/5*u**4 + 0 + 14/25*u**2 = 0.
0, 1, 2
Suppose -42*m = -43*m + 2. Let j = -1 + 1. Factor -b + 3 - 9*b**m + j*b - 5*b.
-3*(b + 1)*(3*b - 1)
Suppose -5*b + 26 = -2*h, h + 13 = 3*b - 2. Let b - 20*c**2 + 8*c**2 + 4 + 10*c - 2 - 4 = 0. What is c?
-1/6, 1
Let l be ((-4)/(-24))/(18 + 1206/(-72)). Factor 4/15*u + l*u**4 - 4/15*u**3 - 2/15*u**2 + 0.
2*u*(u - 2)*(u - 1)*(u + 1)/15
Let y(g) be the second derivative of 5/6*g**3 + 9*g + 5/12*g**4 + 0*g**2 - 1. Factor y(d).
5*d*(d + 1)
Let z be (-3)/(-1)*20/12 + 9139515. Suppose -z*i + 520*i**4 - 9*i**5 + 44383928 + 5*i**5 - 27040*i**3 + 703040*i**2 + 1454017 + 1687559 = 0. Calculate i.
26
Let u be ((-240)/110)/((-21)/14). Let w be -3 + 2 + (-42)/(-22). Let -4/11*f**2 + 0 + 0*f + w*f**5 + 2/11*f**3 + u*f**4 = 0. Calculate f.
-1, 0, 2/5
Let b be (418/(-99) + 4)/(0 - 3/36). Let m(z) be the first derivative of -b*z**3 + 0*z + 4*z**2 + 10 + 1/2*z**4. Let m(s) = 0. Calculate s.
0, 2
Suppose 1725 = -13*j + 16*j. Let g = j - 160. Factor g*b - b**2 - 414*b - 2*b**2 + 4*b**2.
b*(b + 1)
Find b, given that 17/4*b - 3/4*b**2 + 5 = 0.
-1, 20/3
Let d(g) = g**4 + 3*g**2 - g + 1. Let o(n) = 22*n**4 - 936*n**3 + 15035*n**2 - 38745*n + 24648. Let h(b) = -6*d(b) + o(b). Find p, given that h(p) = 0.
1, 2, 111/4
Let m(u) be the first derivative of u**6/90 - u**5/15 + u**4/6 + 9*u**3 - 63. Let l(a) be the third derivative of m(a). Factor l(y).
4*(y - 1)**2
Let h(y) be the third derivative of -y**5/510 + 10*y**4/51 + 41*y**3/51 - 1579*y**2. Let h(x) = 0. What is x?
-1, 41
Let h = 835 + -503. Let b be h/12*6/2. Determine u so that b*u**2 + u - 84*u**2 - 4*u = 0.
-3, 0
Suppose 2*r - 82 = 7*x - 72, 0 = 4*r + 15 - 35. Factor 0*a + 48/5*a**3 - 4/5*a**4 - 144/5*a**2 + x.
-4*a**2*(a - 6)**2/5
Let w be -2 + 2 + 2 + (0 - -2). Let i be w + (-6 + (6 - 2))*2. Determine h so that i*h**2 - 1/4*h**3 + 3/4*h - 1/2 = 0.
-2, 1
Let f(s) be the second derivative of s**5/14 + 89*s**4/6 - 310*s**3/3 + 768*s**2/7 + s - 336. Suppose f(c) = 0. What is c?
-128, 2/5, 3
Suppose -1615*x = -785*x. Find u such that -38/11*u**3 + 18*u**2 + x + 2/11*u**4 - 162/11*u = 0.
0, 1, 9
Let q = 1402211 - 32250851/23. Find i, given that -130/23*i**2 - q*i**5 + 98/23*i**3 + 8 - 192/23*i + 42/23*i**4 = 0.
-2, 1, 23
Factor 205*w**2 + 391*w - 935*w + 5*w**4 - 110*w**3 + 444*w.
5*w*(w - 20)*(w - 1)**2
Let i(r) be the first derivative of r**6/480 - 63*r**5/80 + 3969*r**4/32 + 200*r**3/3 - 28. Let k(z) be the third derivative of i(z). Factor k(c).
3*(c - 63)**2/4
Suppose -369 = -k - 363. Suppose -995*r = -989*r - k. Factor -1/4*a**3 + 1/2*a**2 + r + 7/4*a.
-(a - 4)*(a + 1)**2/4
Let i(o) = 2*o**2 + 25*o - 16. Suppose n - y + 6 = 14, -5*n + 4*y + 35 = 0. Let d(h) = -h**2 - h + 1. Let m(k) = n*i(k) + 21*d(k). Solve m(p) = 0 for p.
3/5, 3
Factor 36*i**2 + 32*i**2 - 103*i**2 - 5730*i + 1640.
-5*(i + 164)*(7*i - 2)
Let c(u) be the third derivative of -u**6/60 + 7*u**5/10 - 26*u**4/3 - 661*u**2. Let c(z) = 0. Calculate z.
0, 8, 13
Let s(y) be the first derivative of y**5 - 155*y**4/4 + 325*y**3 + 9295*y**2/2 - 87880*y - 163. Factor s(u).
5*(u - 13)**3*(u + 8)
Let b(i) be the third derivative of i**6/600 - 11*i**5/300 - i**4/120 + 11*i**3/30 + 3*i**2 - 66. Factor b(f).
(f - 11)*(f - 1)*(f + 1)/5
Let y = 369 - 193. Let j = y - 125. Determine a so that -5*a**2 + j*a - 97*a + 20 + 31*a = 0.
-4, 1
Determine p so that -188 - 1563*p - 127 + 1101*p + 1414 + 797 - 3*p**2 = 0.
-158, 4
Let x(h) be the second derivative of 1/20*h**5 + 0*h**6 + 63*h + 0 + 0*h**2 + 1/18*h**4 + 0*h**3 - 1/126*h**7. Factor x(v).
-v**2*(v - 2)*(v + 1)**2/3
Let l(x) = -x**2 + 16*x + 82. Let p be l(20). Solve -22*a - 12 + 0 - 2*a**p + 8*a = 0.
-6, -1
Let v(a) be the first derivative of a**5/25 + 149*a**4/20 + 490*a**3 + 11750*a**2 - 25000*a + 1385. Factor v(q).
(q - 1)*(q + 50)**3/5
Let c(v) be the third derivative of -1/210*v**5 - 2 + 1/14*v**4 - 5/21*v**3 - 73*v**2 + 0*v. Let c(n) = 0. What is n?
1, 5
Let q(d) = -d**3 - 8*d**2 - 2*d + 42. Let f be q(-7). Let p be 4 - f - -3*2. Factor 0*g**p + 0*g