et f(y) = -y - 10. Let n(t) = t**2 + 5*t - 12. Let p be n(-5). Let v be f(p). Solve 2*h - 106 + 3*h**v + 106 = 0 for h.
-2/3, 0
Let x(i) be the first derivative of -i**6/160 - i**5/40 + i**4/32 + i**3/4 - 71*i**2 - 262. Let r(b) be the second derivative of x(b). Factor r(y).
-3*(y - 1)*(y + 1)*(y + 2)/4
Let z(l) be the first derivative of 2*l**6/3 + 4*l**5/5 - 3*l**4 - 20*l**3/3 - 4*l**2 - 1643. Determine u, given that z(u) = 0.
-1, 0, 2
Suppose -d + 494 = 5*v, 0 = 4*d - 46*v + 41*v - 1951. Let o = 491 - d. Solve 0*m - 8/3 + 2/3*m**3 + o*m**2 = 0.
-2, 1
Let a(r) be the first derivative of -1/30*r**5 - 143 + 0*r**2 - 2/3*r**3 - 1/3*r**4 + 0*r. Factor a(p).
-p**2*(p + 2)*(p + 6)/6
Let u(x) be the first derivative of 4*x**3 + 1/12*x**5 + 0*x + 1/72*x**6 - x**2 + 0*x**4 + 28. Let o(d) be the third derivative of u(d). Factor o(r).
5*r*(r + 2)
Factor 4*a**2 - 323 - 546 - 115 - 1309*a + 329*a.
4*(a - 246)*(a + 1)
Let q(a) be the second derivative of a**5/12 - 5*a**4/6 - 35*a**2/2 - 79*a. Let d(p) be the first derivative of q(p). Find c, given that d(c) = 0.
0, 4
Let b = -49009481 - -120269269273/2454. Let s = -6/409 + b. Factor -3/2*k**3 + 0 + 1/3*k**2 + s*k**4 + 0*k.
k**2*(k - 1)*(7*k - 2)/6
Let y(i) be the second derivative of -3*i**6/5 + 97*i**5/10 - 70*i**4/3 - 12*i**3 - 28*i + 42. Let y(k) = 0. What is k?
-2/9, 0, 2, 9
Let s(d) = -d**3 + 9*d**2 + 6*d + 42. Let l be s(10). Determine x, given that 42*x**4 + x**3 - 29*x**3 + 10*x + 13*x**l - 45*x**3 - 28*x**4 = 0.
-2/7, 0, 1/2, 5
Let t = -1/633806 - -1267615/1901418. Factor -44/3 + t*m**2 - 6*m.
2*(m - 11)*(m + 2)/3
Let z(a) = -765*a - 763. Let b be z(-1). Let k(m) be the second derivative of 0 - 25/6*m**3 + 2*m - 5/12*m**4 - 10*m**b. Determine r so that k(r) = 0.
-4, -1
Let h(n) be the third derivative of -n**5/18 - 4021*n**4/36 - 268*n**3/3 + 1069*n**2 + 2*n. Determine i, given that h(i) = 0.
-804, -1/5
Let l = -9966 + 9973. Let r(u) be the third derivative of 37*u**2 + 0 - 1/6*u**5 + 1/21*u**l + 0*u**3 + 0*u + 0*u**4 + 1/8*u**6. Solve r(b) = 0.
-2, 0, 1/2
Let w be 9 + -12 + (-44)/(-9)*(-3)/(-4). Find h, given that w*h**3 + 22*h + 12*h**2 + 32/3 = 0.
-16, -1
Let q(m) be the third derivative of -m**5/140 - 4*m**4/7 + 34*m**3/7 - 5*m**2 - m. Find u such that q(u) = 0.
-34, 2
Let n(t) be the second derivative of 5*t**4/12 + 1070*t**3/3 - 2145*t**2/2 - 499*t. Factor n(s).
5*(s - 1)*(s + 429)
Let n be 3/12*(-3021 - -3013 - ((-96)/11 - 0)). Factor -38/11*x - n*x**2 + 0.
-2*x*(x + 19)/11
Let k(t) be the third derivative of 0*t + 45*t**2 - 1/60*t**5 + 0 - 24*t**3 - t**4. Suppose k(c) = 0. Calculate c.
-12
Let j(r) = -r**2 + 123*r - 5. Let o(i) = 2*i**2 - 122*i + 6. Suppose -p = 0, -c - 26*p + 21*p + 6 = 0. Let q(s) = c*j(s) + 5*o(s). Let q(x) = 0. What is x?
-32, 0
Let s be -1 - -10 - 1736/217 - -2*1. Factor 0 - 2/7*o**s - 2/7*o**4 + 0*o + 4/7*o**2.
-2*o**2*(o - 1)*(o + 2)/7
Let i be 27/(378/280) + (-468)/26. Suppose 32/9 - 4/9*r**i + 8/9*r = 0. Calculate r.
-2, 4
Let 9822*l + 4042 - 2664*l + 3116 + 3*l**2 - 3 = 0. Calculate l.
-2385, -1
Determine t, given that 178*t - 15283*t**3 + 296*t + 15751*t**3 - 3*t**4 + 945*t**2 = 0.
-1, 0, 158
Determine k so that -256/9 - 4328/9*k**2 - 338/9*k**5 - 18442/9*k**3 - 3796/3*k**4 + 312*k = 0.
-32, -1, 2/13
Factor -4657463/4 - 83667/4*w - 501/4*w**2 - 1/4*w**3.
-(w + 167)**3/4
Let s(x) be the first derivative of x**2 + 4*x + 2/27*x**3 + 101. Factor s(k).
2*(k + 3)*(k + 6)/9
Suppose -137 = -18*k + 2*k + 87. Let d(q) be the first derivative of -5/2*q**2 - 30*q + 20/3*q**3 + k - 5/4*q**4. Solve d(h) = 0.
-1, 2, 3
Let l(u) be the third derivative of 0*u - 1/300*u**6 - 49/60*u**4 + 0 + 7/75*u**5 + 0*u**3 - 145*u**2. Factor l(t).
-2*t*(t - 7)**2/5
Let v(x) = x**3 + 4*x**2 + 43*x + 242. Let n be v(-5). Factor 0 + 1/3*g**n - 4*g.
g*(g - 12)/3
Suppose -315 = 2*g - 349. Suppose -a + g = 4*z, -4*z + 7*a = 2*a + 13. Suppose 0 + 0*d + 1/5*d**2 + 2/5*d**z + 1/5*d**4 = 0. Calculate d.
-1, 0
Let h(o) be the second derivative of o**5/4 - 85*o**4/12 + 155*o**3/6 - 75*o**2/2 - 496*o - 2. Factor h(t).
5*(t - 15)*(t - 1)**2
Suppose -13768*u**4 - 240 - 3*u**3 + 6*u**3 - 608*u + 5*u**3 - 372*u**2 + 13780*u**4 = 0. What is u?
-5, -1, -2/3, 6
Let w(k) be the first derivative of 0*k**2 + 27 + 2/33*k**3 - 14*k + 31/66*k**4. Let f(q) be the first derivative of w(q). Factor f(s).
2*s*(31*s + 2)/11
Let l(i) be the third derivative of i**9/1512 - i**7/420 - 37*i**3/3 - 19*i**2 + 3. Let t(r) be the first derivative of l(r). Factor t(z).
2*z**3*(z - 1)*(z + 1)
Let g be (-42)/14 + (-195)/(-27) - (-6)/(-27). Let s(j) be the first derivative of -1/4*j**2 + 1/24*j**g + 1/9*j**3 - 31 + 0*j. Solve s(o) = 0.
-3, 0, 1
Factor -72*g - 3*g + 25*g**2 - 5*g - 41*g + g**3 - 56*g + 279.
(g - 3)**2*(g + 31)
Let w(q) = 3*q**2 + 35*q - 58. Let x be w(-14). Let c be (-32)/x - (58/(-10) - -3). Factor -5*h + 5/2*h**c + 5/4*h**3 - 10.
5*(h - 2)*(h + 2)**2/4
Let o(m) be the second derivative of -m**5/70 - 491*m**4/14 - 25795*m**3 + 543169*m**2/7 - 8567*m + 1. Determine q, given that o(q) = 0.
-737, 1
Determine z so that -6/7*z + 2/7*z**2 - 20/7 = 0.
-2, 5
Let c = 139 - 141. Let v(y) = -4*y**2 - 12*y - 6. Let t(j) = -4*j**2 - 3*j**2 - 23 - 24*j**2 + 14*j**2 - 49*j. Let h(f) = c*t(f) + 9*v(f). Factor h(o).
-2*(o + 1)*(o + 4)
Let o = 23/105 - -4/35. Let r(n) be the third derivative of o*n**3 + 0*n + 1/120*n**6 + 5/24*n**4 - n**2 + 1/15*n**5 + 0. Suppose r(g) = 0. What is g?
-2, -1
Let g(x) be the second derivative of 5*x**7/189 - 38*x**6/15 - 559*x**5/90 - 4*x**4/3 + 140*x**3/27 - 63*x - 99. Suppose g(w) = 0. What is w?
-1, 0, 2/5, 70
Let v(a) = -2*a**3 - 14*a**2 + 29*a - 60. Let z be v(-9). Factor 1/4*y**4 + 5/4*y + 0 + 11/4*y**2 + 7/4*y**z.
y*(y + 1)**2*(y + 5)/4
Let u be 1309/(-33) - (-351 - -298). Solve -2/3*z**3 - 2/3*z**2 + 32/3*z - u = 0.
-5, 2
Let 3/4*v**4 + 15/4*v + 3/2*v**5 + 3/4*v**2 - 21/4*v**3 - 3/2 = 0. Calculate v.
-2, -1, 1/2, 1
Let q(j) be the second derivative of -3/110*j**5 + 0*j**3 - 2/33*j**4 + j + 52 + 1/165*j**6 + 0*j**2. Factor q(g).
2*g**2*(g - 4)*(g + 1)/11
Determine v, given that 0*v + 2/19*v**4 + 0 - 88/19*v**3 + 968/19*v**2 = 0.
0, 22
Let c(q) be the third derivative of q**6/270 - 4*q**5/45 + 41*q**4/54 - 28*q**3/9 - 2*q**2 - 418*q. Suppose c(i) = 0. What is i?
2, 3, 7
Let l = 819434/9 + -91048. Determine r, given that -405224/9*r + 3748322/9 + l*r**4 + 5476/3*r**2 - 296/9*r**3 = 0.
37
Let b be 4 + -6 + (2 - -4). Factor -86*f**2 - 64*f + 0*f**4 - f**b + 6*f**2 - 17*f**3.
-f*(f + 1)*(f + 8)**2
Let n(s) be the second derivative of -s**4/6 + 2074*s**3/3 - 1075369*s**2 + 600*s. Suppose n(l) = 0. Calculate l.
1037
Let h(f) be the third derivative of 1/84*f**8 + 3*f**2 + 4/105*f**7 + 16/3*f**3 - 2/3*f**5 - 1/6*f**6 + 24*f + 0 + 2/3*f**4. Find b, given that h(b) = 0.
-2, -1, 1, 2
Let i(a) be the first derivative of -5/36*a**4 - 1/45*a**5 - 15 + 0*a**2 + 1/540*a**6 - 8/3*a**3 + 0*a. Let j(k) be the third derivative of i(k). Factor j(o).
2*(o - 5)*(o + 1)/3
Let t(x) be the second derivative of x**9/3024 - x**8/840 + x**6/180 - x**5/120 - 23*x**3/3 - 88*x. Let b(d) be the second derivative of t(d). Factor b(s).
s*(s - 1)**3*(s + 1)
Let v(o) be the third derivative of o**8/20160 + o**7/1512 - o**6/360 + 61*o**4/24 - 125*o**2. Let c(j) be the second derivative of v(j). Factor c(q).
q*(q - 1)*(q + 6)/3
Let a(n) be the second derivative of -n**5/4 + 785*n**4/12 - 7475*n**3/6 + 18375*n**2/2 + 7*n + 2. What is p in a(p) = 0?
5, 147
Let x(s) = 18*s**3 + 132*s**2 - 27*s - 63. Let y(f) = f**3 + 8*f**2 - f - 1. Let h(g) = x(g) - 15*y(g). Determine d so that h(d) = 0.
-4, -2, 2
Let h = 621649 - 621649. Factor -6/7*x**5 - 2/7*x**4 + 4/7*x**3 + h*x**2 + 0 + 0*x.
-2*x**3*(x + 1)*(3*x - 2)/7
Let h(z) be the first derivative of -9*z**5/20 + 1419*z**4/16 + 1115*z**3/4 + 2397*z**2/8 + 120*z + 988. Solve h(m) = 0.
-1, -1/3, 160
Let w(y) be the third derivative of y**5/20 + 373*y**4/8 - 187*y**3 + 5813*y**2. Factor w(o).
3*(o - 1)*(o + 374)
Suppose -2410*b + 1534*b - 836*b + 294192 = 2374*b. Factor -3/2*a**2 - 864 - b*a.
-3*(a + 24)**2/2
Factor 5025*v**4 - 3*v**5 - 120633958601*v - 3366750*v**3 + 90895891568*v + 1127861250*v**2 - 159178692342*v + 4331356574582 + 8326066303543.
-3*(v - 335)**5
Suppose 6*x - 110 = -152. Let