2*(t - 6)*(t - 2)*(t + 2)
Factor -2/7*k**2 + 12/7*k + 80/7.
-2*(k - 10)*(k + 4)/7
Let t = -717960 + 717963. What is b in -1/5*b**t + 0 + 16/5*b**2 + 17/5*b = 0?
-1, 0, 17
Suppose 57*u = 40*u + 62 - 11. Solve 0 + 5/8*w**5 - 7/2*w**2 - 9/4*w**u + 7/8*w**4 - w = 0 for w.
-2, -1, -2/5, 0, 2
Suppose -5*u + 271*k + 20 = 276*k, 25*u - 8 = -2*k. Let -192/5*j - 36/5*j**3 + 144/5*j**2 + 3/5*j**4 + u = 0. What is j?
0, 4
Let n(z) be the first derivative of z**6/48 + 7*z**5/4 - 369*z**4/32 + 227*z**3/12 + 73*z**2/4 - 75*z + 1. Factor n(i).
(i - 2)**3*(i + 1)*(i + 75)/8
Let q(l) be the second derivative of 4*l**4/21 - 36*l**3/7 + 729*l**2/14 - 6*l + 47. Factor q(b).
(4*b - 27)**2/7
Suppose 0 = x + 4*x - 490. Suppose 0 = 8*q - q - x. Solve 2*u**2 - 2*u - q + 21 - 11 = 0 for u.
-1, 2
Let c be (-4)/(-7) - ((-186)/42 - 0). Suppose 0 = -5*r + 47 - 32. Factor 5/2*u**r + 0*u - 2*u**4 + 0 + 1/2*u**c - u**2.
u**2*(u - 2)*(u - 1)**2/2
Factor -1 - 10*s + 5*s**2 - 6 + 5 + 2.
5*s*(s - 2)
Suppose -48 = -5*d + 3*d. Suppose -20*s + 16*s = -5*w - 28, 0 = -2*s - 2*w + 14. Let -40*u**2 + d*u**3 + 12*u**2 + 20 - 9*u - s*u = 0. What is u?
-5/6, 1
Suppose g = -g + 5*j - 17, 0 = 2*g + 2*j - 18. Suppose g = 3*f - 11. Factor 2*x**4 + x - 13*x**4 + 2*x**3 + 9*x**f - x.
x**3*(x - 1)*(9*x - 2)
Let i(w) = -w - 19. Let q be i(-22). Suppose 85*h**2 + 5*h + 35*h**q - 58*h**2 - 67*h**2 = 0. What is h?
0, 1/7, 1
Let y be (((-55)/(-2))/(-5))/(882/(-56) + 13). Factor 39/5*r**3 - 192/5 + 336/5*r - 36*r**y - 3/5*r**4.
-3*(r - 4)**3*(r - 1)/5
Let l(q) be the first derivative of q**6/2 - 537*q**5/5 + 24297*q**4/4 - 7921*q**3 + 10091. Solve l(o) = 0 for o.
0, 1, 89
Suppose -49*q + 9 = -89. Let s(k) be the first derivative of -1/6*k**4 + 1/3*k**q + 4/9*k**3 + 9 - 4/3*k. Factor s(n).
-2*(n - 2)*(n - 1)*(n + 1)/3
Let r be (-1)/((-6)/9) - (-21)/14. Let h be -2*(-1)/(-4)*0. Let -272*d - 34*d**2 - 128 + h*d**r - 2*d**3 + 0*d**3 + 112*d = 0. Calculate d.
-8, -1
Let w(y) be the third derivative of y**8/36960 - 4*y**7/1155 - y**6/40 + 17*y**5/60 + y**2. Let x(o) be the third derivative of w(o). Let x(l) = 0. What is l?
-1, 33
Solve -935/3*o**2 + 25/6*o**3 + 375 - 135/2*o = 0.
-6/5, 1, 75
Let y(w) = -w**3 - 3*w**2 + 23*w + 70. Let u be y(-4). Let x be 4 + (-13)/4 - u/(-8). Determine a, given that x - 3*a**4 + 9/4*a**2 + 1/2*a + 1/4*a**3 = 0.
-2/3, -1/4, 0, 1
Suppose -2*a = 3*p - 44, p = 4*a - 18 - 42. Let q be 10 + a/(-30)*18. Solve -8/5*y**4 + q*y**5 + 0*y**2 + 0*y**3 + 0*y + 0 = 0.
0, 4
Let o = 12023/2 + -6010. Factor 3/2*c**3 - o*c + 6*c**2 - 6.
3*(c - 1)*(c + 1)*(c + 4)/2
Suppose 228 = 76*d - 19*d. Let j(o) be the third derivative of -242/3*o**3 - 1/15*o**5 + 0*o + 0 - 11/3*o**d + 35*o**2. Determine n, given that j(n) = 0.
-11
Let z be (-29)/(-551)*1/(-5). Let p = 98/285 + z. Determine g, given that -2/3*g + 0 + p*g**2 = 0.
0, 2
Let j(f) = -f**2 + 7*f - 8. Let y be j(-6). Let w = -83 - y. Factor 30 - 3*h**2 - 5*h + 0*h**2 - 5*h**2 + w*h**2.
-5*(h - 2)*(h + 3)
Let l(h) be the second derivative of -3375/2*h**2 + 0 - 1/20*h**5 - 76*h - 15/4*h**4 - 225/2*h**3. Determine y so that l(y) = 0.
-15
Let f(j) be the third derivative of 2/15*j**5 - 1/105*j**7 - 1/20*j**6 - 81*j**2 + 5/24*j**4 - j**3 + 0 + 1/336*j**8 + 0*j. Solve f(z) = 0 for z.
-2, -1, 1, 3
Let u(w) be the first derivative of 2*w**5/5 - 6*w**3 + 32*w + 28. Let c(j) = 2*j**4 - 19*j**2 + 32. Let d(v) = 2*c(v) - 3*u(v). Factor d(p).
-2*(p - 2)**2*(p + 2)**2
Let k(j) be the second derivative of -j**4/12 + j**3 + 7*j**2 + 81*j. Let t(l) = l**2 - 4*l - 10. Let s(g) = 5*k(g) + 7*t(g). Determine w so that s(w) = 0.
-1, 0
Let f(y) be the second derivative of 2*y**7/1365 - 7*y**6/2340 - y**5/780 + y**3/2 + 7*y**2/2 + 33*y. Let j(w) be the second derivative of f(w). Factor j(p).
2*p*(p - 1)*(8*p + 1)/13
Suppose 2*b = -8, 2*b + 56 = -270*u + 272*u. Let t be (-74)/(-88) - 3*(-2)/u. Factor -t*x - 2/11*x**2 + 14/11.
-2*(x - 1)*(x + 7)/11
Suppose -3*d - 40 = 5*d. Let f be ((-3)/d)/(21/70). Factor 0*z + 7*z - 272*z**2 + 271*z**f.
-z*(z - 7)
Let t(d) be the first derivative of d**6/57 + 6*d**5/95 - d**4/2 - 2*d**3/19 + 18*d**2/19 - 828. Find z, given that t(z) = 0.
-6, -1, 0, 1, 3
Let c(q) be the first derivative of -15625*q**6/2 + 129000*q**5 - 2140275*q**4/4 - 179558*q**3 - 21882*q**2 - 1176*q + 3524. Factor c(l).
-3*(l - 7)**2*(25*l + 2)**3
Let t(p) be the first derivative of -p**4/14 + 58*p**3/7 - 2160*p**2/7 + 3200*p + 4812. Solve t(s) = 0.
7, 40
Let x = -268 - -275. Let o(w) = -20*w**2 - 12*w. Let s(i) = 4*i - 2*i**2 + 0*i + 2*i + 12*i**2. Let b(k) = x*s(k) + 4*o(k). Factor b(f).
-2*f*(5*f + 3)
Suppose -5*o - 5*s + 2*s = 50, 18 = -o + s. Let j(g) = -g**2 - 14*g + 5. Let k be j(o). Find x, given that 3 + 0*x**3 - 9*x + 9 - k + 3*x**3 = 0.
-1, 2
Suppose 0*m + 5*z - 9 = 16*m - 8, -65 = -5*z. Solve -12/5 + 14/5*v**m - 46/5*v**3 - 2/5*v**2 + 46/5*v = 0.
-1, 2/7, 1, 3
Let v(f) be the first derivative of 2*f**5/55 + 23*f**4/22 - 36*f**3/11 - 92*f**2/11 + 400*f/11 + 818. Suppose v(l) = 0. What is l?
-25, -2, 2
Determine j, given that -50/9*j**2 - 8*j + 70/9*j**3 + 2/9*j**5 + 8 - 22/9*j**4 = 0.
-1, 1, 2, 3, 6
Suppose -132*c + 920 = 98*c. Factor 0*x - 3*x**2 + 0 + 1/3*x**5 - 3*x**3 + 1/3*x**c.
x**2*(x - 3)*(x + 1)*(x + 3)/3
Let n(h) be the first derivative of 11 + 0*h - 1/8*h**3 + 3/2*h**4 + 3/40*h**5 - 3*h**2. Factor n(p).
3*p*(p - 1)*(p + 1)*(p + 16)/8
Let n = -16/40471 - -28167896/202355. Factor 8/5 - n*h + 15138/5*h**2.
2*(87*h - 2)**2/5
Let l be 18/81*-3 - 44/(-14). Let n = l + -15/7. Suppose n - 1/6*u - 1/6*u**2 = 0. What is u?
-2, 1
Let g be (0 - (-8)/6)*(41 - 9075/231). Solve -g + 24/7*v + 2/7*v**3 - 12/7*v**2 = 0.
2
Let u(g) be the first derivative of -305 - 3/2*g**4 - 66*g + 19*g**3 + 105/2*g**2. What is h in u(h) = 0?
-2, 1/2, 11
Suppose -4212 = 18*n - 22*n. Suppose 1050*p - n*p + 6 = 0. Determine k so that 0 + 0*k**p - 2/7*k**3 + 2/7*k = 0.
-1, 0, 1
Let p = 2669 - 2669. Let h(s) be the third derivative of p*s + 30*s**2 + 0 + s**3 + 1/30*s**5 + 1/3*s**4. Factor h(j).
2*(j + 1)*(j + 3)
Let c(w) be the first derivative of 5*w**6/6 - 10*w**5 + 45*w**4 - 90*w**3 + 135*w**2/2 + 105. Factor c(d).
5*d*(d - 3)**3*(d - 1)
Let v(j) = -38*j**2 + 1161*j - 1158. Let t(x) = 68*x**2 - 2321*x + 2316. Let z(m) = 5*t(m) + 9*v(m). Suppose z(i) = 0. What is i?
-579, 1
Let f(r) = -21*r**2 + 4116*r + 46815. Let x(i) = i**2 - 187*i - 2128. Let u(h) = 2*f(h) + 45*x(h). Solve u(w) = 0.
-10, 71
Suppose 0*o = -5*o - 560. Let w = 116 + o. Determine d so that -6*d**3 + 3/2*d - 3/4*d**2 + 0 - 15/4*d**w = 0.
-1, 0, 2/5
Let l(h) = -h**2 - 813*h + 6571. Let v be l(8). Factor d**2 - 1/6*d**v + 0 + 7/6*d.
-d*(d - 7)*(d + 1)/6
Let j = 90 + -64. Let u = j - 22. Suppose -v**3 + 76*v**u - 108*v**2 + 24*v**5 + 16 + 6*v + 0*v**3 + 9*v**3 - 22*v = 0. What is v?
-2, -1/2, 1/3, 1
Let j be (13 - (-945)/(-77))*11. Let b(k) be the second derivative of 1/225*k**6 + 1/90*k**4 - j*k + 0*k**3 + 0 + 0*k**2 - 1/75*k**5. Let b(n) = 0. Calculate n.
0, 1
Let v = 989 - 697. Let x = v + -289. Solve 0*m**2 + 1/5*m**4 - 1/5 - 2/5*m + 2/5*m**x = 0 for m.
-1, 1
Let b(o) = 2*o**3 - o**2 - o - 1. Let a(d) be the second derivative of 9*d**5/20 + 5*d**4/3 + d**3 - d**2 + 19*d + 1. Let h(t) = -a(t) + 2*b(t). Factor h(r).
-r*(r + 4)*(5*r + 2)
Let p(o) be the first derivative of 4*o**3/3 - 3208*o**2 + 6412*o + 5925. Factor p(z).
4*(z - 1603)*(z - 1)
Let n(a) be the third derivative of a**7/3150 - a**6/450 - 23*a**4/8 - 80*a**2. Let f(j) be the second derivative of n(j). Factor f(u).
4*u*(u - 2)/5
Let s(t) be the second derivative of t**5/60 + 59*t**4/18 + 3481*t**3/18 + 5*t - 8. Factor s(m).
m*(m + 59)**2/3
Let w(u) be the second derivative of -16/3*u**2 + 68/27*u**3 + 123*u - 16/27*u**4 + 1/18*u**5 + 0. Factor w(p).
2*(p - 2)**2*(5*p - 12)/9
Suppose -l + 5 = 4*l + 2*z, 2*l = 3*z + 21. Suppose -5*g + 3*w + 22 = 0, 0*w - 3 = -3*w. Factor 11*x**l - g*x**3 - 14*x**2 - 18 + 26.
2*(x - 2)*(x - 1)*(3*x + 2)
Let w(a) be the second derivative of a**4/66 - 106*a**3/33 + 2809*a**2/11 + 1185*a. Determine g so that w(g) = 0.
53
Let -5*n**2 - 859*n - 6080 + 799*n + 860*n = 0. Calculate n.
8, 152
Suppose -16*g + 19 = 3. Let c be (-11)/88*(-40)/g. Factor 0 + 0*j + 2/17*j**2 - 2/17*j**4 + 2/17*j**c - 2/17*j**3.
2*j**2*(j - 1)**2*(j + 1)