 = 0. What is l?
-1, 0, 2
Let h(i) be the second derivative of -2*i**6/135 - 26*i**5/45 - 193*i**4/27 - 208*i**3/9 - 32*i**2 - 8*i - 1. Suppose h(x) = 0. What is x?
-12, -1
Let z = -3/70 + 31/70. Suppose 2*x = 8, -f - 2*x + 3*x = 2. Factor 2/5*r**3 - 2/5*r**f + 2/5*r**4 + 0 - z*r.
2*r*(r - 1)*(r + 1)**2/5
Suppose 14 = 3*t - 2*s, 4*t + 2*s = 5*s + 20. Let a be -2*(45/t)/(-9). Factor -12*p + 2*p**3 + 10*p + p**2 - a*p**2 + 4.
2*(p - 2)*(p - 1)*(p + 1)
Let r(u) be the second derivative of 5*u**7/42 - 31*u**5/4 + 25*u**4/2 - 30*u + 1. Factor r(m).
5*m**2*(m - 5)*(m - 1)*(m + 6)
Let k(r) be the second derivative of 1/4*r**6 + 1/2*r**4 + 0*r**2 - 9*r + 6/5*r**5 + 0 + 0*r**3 - 1/4*r**7. Determine l, given that k(l) = 0.
-1, -2/7, 0, 2
Let o(z) be the second derivative of -3*z**5/20 + z**4/4 + 17*z**3/2 + 45*z**2/2 - 85*z. Solve o(s) = 0.
-3, -1, 5
Suppose 11*p - 27 = 6*p - u, -2*u = -3*p + 24. Let r be ((-78)/(-14) - p) + 1. Find g such that 4/7 + r*g + 1/7*g**2 = 0.
-2
Suppose 41 = 3*c + 5*h, -h = -2090*c + 2087*c - 1. Factor 0 - 1/2*u**c + 0*u - 3/4*u**3 - 1/4*u**4.
-u**2*(u + 1)*(u + 2)/4
Let z(m) be the first derivative of -5*m**3/3 - 27*m**2/10 - 2*m/5 - 51. Determine t, given that z(t) = 0.
-1, -2/25
Let t(j) be the second derivative of -5*j**4/12 - 55*j**3/2 - 155*j**2 - 827*j. Factor t(p).
-5*(p + 2)*(p + 31)
Let d(u) be the second derivative of u**5/10 - 5*u**4/6 - u**3/3 + 5*u**2 - 19*u - 6. Factor d(y).
2*(y - 5)*(y - 1)*(y + 1)
Let h(j) = 13*j**2 - 8*j + 4. Let f be h(2). Factor -6*x**4 + 22*x**2 + 15*x**3 - 13*x**2 + x**2 + f - 60*x + x**4.
-5*(x - 2)**2*(x - 1)*(x + 2)
Let o(a) be the first derivative of -a**6/8 + 87*a**5/20 - 369*a**4/8 + 239*a**3/2 + 741*a**2/8 - 1521*a/4 - 272. Solve o(q) = 0.
-1, 1, 3, 13
Let k(n) be the second derivative of 0*n**3 + 0 + 0*n**2 - 3/4*n**5 - 5/6*n**4 + 22*n + 5/42*n**7 + 0*n**6. Factor k(m).
5*m**2*(m - 2)*(m + 1)**2
Let r(z) = -z**2 + 0*z - 7*z + 7 - 5*z. Let d(c) = -4*c**2 - 36*c + 20. Let w(m) = 3*d(m) - 10*r(m). Solve w(i) = 0.
1, 5
Let x(o) be the second derivative of -o**7/2520 + o**5/360 + 3*o**3/2 + 11*o. Let c(g) be the second derivative of x(g). Find v such that c(v) = 0.
-1, 0, 1
Factor 0*o + 0 + 2/5*o**3 - 4/5*o**2 + 2/5*o**4.
2*o**2*(o - 1)*(o + 2)/5
Let z be 20 + -10 - (3 - -4). Let x be (10/(-32))/(6/(-24)). Factor -z*s - x*s**2 - 1.
-(s + 2)*(5*s + 2)/4
Suppose -16 = -7*g + 6*g. Solve -37 + 1 - 2*z**4 - 48*z**2 - 64*z - g*z**3 + 4 = 0 for z.
-2
Let -6/7*z**3 - 342/7 - 339/7*z + 687/7*z**2 = 0. Calculate z.
-1/2, 1, 114
Let f(k) be the second derivative of k**6/50 - 163*k**5/50 - 193*k**4/15 - 277*k**3/15 - 111*k**2/10 + 14*k + 8. Suppose f(n) = 0. What is n?
-1, -1/3, 111
Let x = 439 + -437. Factor 2/5*h - 1/5*h**x + 0 - 1/5*h**3.
-h*(h - 1)*(h + 2)/5
Let c(u) be the third derivative of -u**9/15120 + u**8/3360 + u**7/2520 - u**6/360 + u**4/8 + 7*u**2. Let s(v) be the second derivative of c(v). Factor s(b).
-b*(b - 2)*(b - 1)*(b + 1)
Let h(k) be the second derivative of k**4/60 - 73*k**3/15 + 5329*k**2/10 + 10*k + 7. Factor h(m).
(m - 73)**2/5
Let b(o) be the first derivative of -64*o**5/25 + 96*o**4/5 - 188*o**3/5 + 107*o**2/5 - 24*o/5 + 19. Determine j so that b(j) = 0.
1/4, 3/2, 4
Let j(n) be the second derivative of -n**5/150 - n**4/15 - 8*n**3/45 + 159*n + 2. Factor j(u).
-2*u*(u + 2)*(u + 4)/15
Let u(p) be the second derivative of p**5/5 - 13*p**4/3 - 28*p**3/3 + 16*p + 1. Determine x so that u(x) = 0.
-1, 0, 14
Let -1/7*w**2 + 0 - 47/7*w = 0. What is w?
-47, 0
Suppose -485*i**3 + 12000*i**2 - 11520*i - 10*i**4 - i**4 - 5*i**4 + 21*i**4 = 0. Calculate i.
0, 1, 48
Let l(b) = b + b + 10 - 5 - 71. Let w be l(34). Factor -1/3 - 2/3*s + s**w.
(s - 1)*(3*s + 1)/3
Let u(m) = 2*m + 22. Let z be u(-10). Suppose 26 + z = 7*p. Determine c, given that 0 - 1/3*c + 4*c**p - 5/3*c**3 - 2*c**2 = 0.
-1/3, -1/4, 0, 1
Let v(b) = -b**3 + 14*b**2 - b - 11. Let s(i) = 2*i**3 - 14*i**2 + 2*i + 12. Suppose 4*t = 3*t + 5. Let h(z) = t*s(z) + 6*v(z). What is c in h(c) = 0?
-3, -1, 1/2
Let m be 5/(-9)*(-4056)/845. Let -m*i**4 + 0*i**3 - 2/3*i**5 + 0 + 0*i**2 + 0*i = 0. Calculate i.
-4, 0
Let p(w) be the second derivative of w**6/105 - 8*w**5/35 + 4*w**4/7 + 320*w**3/21 + 400*w**2/7 + 71*w + 2. Factor p(g).
2*(g - 10)**2*(g + 2)**2/7
Suppose -4 = -5*g + 11. Find c, given that 22*c**2 + c**4 - 4*c**g - 5*c**4 - 22*c**2 = 0.
-1, 0
Let m(r) = -r - 1. Let y = 18 + -17. Let p(s) = -3*s**2 + 6*s - 9. Let j(f) = y*p(f) - 3*m(f). Suppose j(t) = 0. Calculate t.
1, 2
Let a(i) be the first derivative of i**3 + 15*i**2/2 - 18*i - 46. Factor a(g).
3*(g - 1)*(g + 6)
Let w(j) be the second derivative of j**5/120 + j**4/12 + 11*j**3/36 + j**2/2 - 3*j + 30. Factor w(x).
(x + 1)*(x + 2)*(x + 3)/6
Let n(p) be the first derivative of 0*p**2 - 1/1080*p**6 - 1/180*p**5 + 0*p - 1/72*p**4 - 7 - 4/3*p**3. Let u(a) be the third derivative of n(a). Factor u(b).
-(b + 1)**2/3
Let z(y) = y**2 + 90*y - 677. Let t be z(7). What is x in -6/5*x**4 - 6/5*x**3 - 2/5*x**t + 0 + 0*x - 2/5*x**5 = 0?
-1, 0
Let k(c) be the third derivative of -c**5/36 - 5*c**4/18 + 38*c**2 + c. Suppose k(y) = 0. Calculate y.
-4, 0
Let c(b) = -5*b**5 - 12*b**4 + 25*b**3 - 7*b**2 - 7*b + 7. Let f(r) = -3*r**5 - 6*r**4 + 13*r**3 - 4*r**2 - 4*r + 4. Let q(j) = 4*c(j) - 7*f(j). Factor q(w).
w**3*(w - 3)**2
Factor 288/11 + 2/11*x**3 - 46/11*x**2 + 240/11*x.
2*(x - 12)**2*(x + 1)/11
Suppose 5*k + 21 = -39. Let j = k - -17. Factor -10*o - 22*o**3 + 2 + 18*o**2 + 10*o**4 - 2*o**j + 2*o**3 + 2*o**2.
-2*(o - 1)**5
Let n be (-23)/(2/4*1*-2). Factor 0*d**2 + 87*d + 22*d**2 + n*d + 121 + 3*d**2.
(5*d + 11)**2
Let c(j) be the first derivative of -j**6/21 + 34*j**5/35 - 4*j**4 + 104*j**3/21 - 136. Let c(o) = 0. Calculate o.
0, 2, 13
Suppose -209 + 449 = 10*p + 220. Factor 6*v - 21/4 - 3/4*v**p.
-3*(v - 7)*(v - 1)/4
Let x be (5 - (16 - 17)*3) + (-55)/7. Find g such that 0 + 12/7*g + x*g**2 = 0.
-12, 0
Let 17*c - 10*c + 1 + 20*c + 11*c - 48*c**2 + 9*c = 0. Calculate c.
-1/48, 1
Let a be 12/10*((-15)/(-6) - 0). Suppose -4*w = -0*t + 2*t + 2, a*w - 11 = t. Factor 1/3*n**w + 1/3*n + 0.
n*(n + 1)/3
Let u(p) be the first derivative of p**5/30 - p**4/24 - 141. Determine h, given that u(h) = 0.
0, 1
Let h(c) be the third derivative of -16*c**7/1155 - 14*c**6/55 - 147*c**5/110 + 111*c**2 - 2. What is v in h(v) = 0?
-21/4, 0
Let x(p) = p - 5. Let i be x(5). Let v(c) = -c**2 + c. Let s be v(i). Find m, given that -24/5*m**2 + 8/5*m + 26/5*m**3 - 12/5*m**4 + 2/5*m**5 + s = 0.
0, 1, 2
Solve -4/3*f - 2/9*f**2 + 14/9 = 0 for f.
-7, 1
Let l(s) be the third derivative of 0*s**3 + 2/15*s**5 + 0*s**4 + 0 - 15*s**2 - 4/105*s**7 + 1/84*s**8 + 0*s - 1/30*s**6. Factor l(g).
4*g**2*(g - 2)*(g - 1)*(g + 1)
Suppose 8*a - 5*a + m + 1 = 0, -2*a + m = 9. Let z be a + (-36)/(-20) - -1. Factor -2/5*r**3 - 2/5*r**2 + 0 + z*r.
-2*r*(r - 1)*(r + 2)/5
Let t be 84/35 - (18 + -16) - 4/(-15). Determine i, given that t + 10/9*i**2 - 2/9*i**3 - 14/9*i = 0.
1, 3
Find t, given that -1/4*t**2 - 625/4 + 25/2*t = 0.
25
Let x(n) be the third derivative of -n**7/1785 - n**6/1020 + n**5/170 + n**4/204 - 2*n**3/51 + n**2 - 2. Solve x(i) = 0 for i.
-2, -1, 1
Let r(l) be the first derivative of 2*l**5/25 - 17*l**4/5 + 38*l**3 + 136*l**2/5 - 2312*l/5 - 260. Find j, given that r(j) = 0.
-2, 2, 17
Determine s, given that 17067*s**5 + 77*s**2 - 17071*s**5 - 16*s**4 + 28*s**3 + 59*s**2 + 96*s = 0.
-4, -2, -1, 0, 3
Suppose -3*l = -2*l - 3*b - 7, -5*b - 13 = -2*l. Determine m, given that 12*m**2 + 4*m**2 - 8 - 4*m**5 + 10*m**3 - 8*m**4 - 2*m**3 - l*m = 0.
-2, -1, 1
Suppose -m + 5 = -a, -22*m + 27*m + 3*a = -15. Determine j so that 0*j - 2/7*j**2 - 6/7*j**4 + m - 6/7*j**3 - 2/7*j**5 = 0.
-1, 0
Let o(r) be the second derivative of -r**7/28 + 13*r**6/10 - 723*r**5/40 + 115*r**4 - 304*r**3 + 384*r**2 + 2*r - 189. Factor o(u).
-3*(u - 8)**3*(u - 1)**2/2
Find b, given that -2 + 5 + 2*b**2 - 30*b**3 + 30*b - 3 + 108596*b**4 - 108598*b**4 = 0.
-15, -1, 0, 1
Factor 254*a**2 - 95 + 164*a - 258*a**2 - 65.
-4*(a - 40)*(a - 1)
Let d = 15560/19251 + -256/837. Let i = -4/69 + d. Solve 0*y + 2/9*y**3 + 2/9*y**4 - i*y**5 + 0*y**2 + 0 = 0.
-1/2, 0, 1
Let y(q) be the second derivative of -3/20*q**5 - 1/14*q**6 + 4/7*q**3 + 5*q - 1/98*q**7 + 6/7*q**2 