Let g = 514324 - 514321. Determine a so that 44/3*a**2 - 32*a + 12*a**4 + 4/3*a**5 - 80/3 + 92/3*a**g = 0.
-5, -2, -1, 1
Let l(i) be the first derivative of -8*i**2 - 33*i - 25/6*i**4 - 14*i**3 - 15 + 9/10*i**5. Let b(z) be the first derivative of l(z). Factor b(x).
2*(x - 4)*(x + 1)*(9*x + 2)
Let y(w) be the first derivative of -w**3/18 - 13*w**2/4 + 20*w/3 - 859. Factor y(k).
-(k - 1)*(k + 40)/6
Let z(g) = 2*g**4 - 97*g**3 + 1044*g**2 - 2538*g + 1611. Let j be -2*10/110 + 20/(-11). Let h(t) = -t**3 + 2*t + 1. Let l(f) = j*z(f) + 22*h(f). Solve l(i) = 0.
1, 2, 20
Let m(b) be the second derivative of -7*b**5/20 + 109*b**4/12 - 74*b**3/3 - 42*b**2 + 199*b + 16. Factor m(v).
-(v - 14)*(v - 2)*(7*v + 3)
Let s(k) = -33*k**2 - 90*k - 486. Let m(i) = 5*i**2 + 2*i - 3. Let a(d) = 6*m(d) + s(d). Factor a(z).
-3*(z + 12)*(z + 14)
Let x(a) be the third derivative of -a**7/210 + a**6/120 + 7*a**5/60 - 13*a**4/24 + a**3 - 135*a**2 - 2. Factor x(l).
-(l - 2)*(l - 1)**2*(l + 3)
Let b(p) be the first derivative of 5*p**3/3 - 1845*p**2/2 - 820. Solve b(x) = 0 for x.
0, 369
Let j be 426/(-1349)*171/(-207). Determine y so that 0 - j*y - 4/23*y**3 - 14/23*y**2 = 0.
-3, -1/2, 0
Let u(r) = -r**2 - 21*r - 94. Let c be u(-14). Solve 6*j**3 - 118*j**5 - 113*j**5 + 2*j**c + 225*j**5 - 2*j**2 = 0.
-1, 0, 1/3, 1
Let q be (-16)/(-1 - -5) - (10 + -16). Let v be q/(-3)*75/(-20). Factor v*x**5 + 760*x**2 + 640 + 1120*x + 250*x**3 + 40*x**4.
5*(x + 2)**2*(x + 4)**3/2
Factor -3/4*h**2 - 11/4*h + 3/4*h**3 + 1/4*h**4 - 3/2.
(h - 2)*(h + 1)**2*(h + 3)/4
Let n be (2 + 1)/(481/104 - 3/(-8)). Let f = 251 - 1249/5. Determine t, given that 9/5*t - f - n*t**2 = 0.
1, 2
Let o(j) be the third derivative of -1/20*j**6 - 2/105*j**7 + 0 + 1/6*j**4 + 0*j**3 - 3*j**2 - 8*j + 1/10*j**5. Suppose o(y) = 0. Calculate y.
-2, -1/2, 0, 1
Let v(o) be the first derivative of 32/69*o**3 - 26 - 3/23*o**2 - 3/46*o**4 - 20/23*o. Let v(y) = 0. Calculate y.
-2/3, 1, 5
Let m(h) = -312*h + 33074. Let i be m(106). Solve 2/7 - 25/7*x - 27/7*x**i = 0.
-1, 2/27
Let d(c) = 7*c**2 + 125*c - 186. Let p(t) = -4*t**2 - 61*t + 95. Let i(k) = 5*d(k) + 9*p(k). Factor i(l).
-(l - 75)*(l - 1)
Let o(b) be the third derivative of 0*b**3 + 0 - 3/455*b**7 + 93*b**2 + 3/130*b**5 + 0*b - 1/2184*b**8 - 11/78*b**4 + 23/780*b**6. Let o(s) = 0. Calculate s.
-11, -1, 0, 1, 2
Let q = -2/1247483 - -1247487/2494966. Let 1/4*n**3 + 1/4*n + 0 - q*n**2 = 0. Calculate n.
0, 1
Let v(r) be the first derivative of -r**6/21 + 2*r**5/7 - 40*r**3/21 + 16*r**2/7 + 291. Find s such that v(s) = 0.
-2, 0, 1, 2, 4
Let x(s) be the second derivative of -2*s - 65/6*s**3 - 15/2*s**2 + 119 - 5/3*s**4. Suppose x(f) = 0. What is f?
-3, -1/4
Let p(y) = 3*y**2 - 1154*y + 10145. Let q be p(9). Find i, given that 6/11*i**4 - 92/11*i + 6/11*i**q + 48/11 + 32/11*i**3 = 0.
-4, -3, 2/3, 1
Let x(q) be the first derivative of -92*q**3 - 3*q**2/2 + 2265. Factor x(z).
-3*z*(92*z + 1)
Let o(s) be the first derivative of -s**6/4 - 89*s**5/10 + 123*s**4/8 - 31*s**3/6 - 201. Determine v, given that o(v) = 0.
-31, 0, 1/3, 1
Let s(n) = n**3 + 10*n**2 + 17*n + 10. Let o be s(-8). Factor -b**2 + 2*b**o + 78*b**3 - 80*b**3 - b**4 + 2*b**4.
b**2*(b - 1)**2
Let p(t) be the second derivative of 3/4*t**4 + 3/5*t**5 - 77*t + 1/10*t**6 - 2*t**3 - 6*t**2 + 0. Solve p(z) = 0 for z.
-2, -1, 1
Factor -p**3 - 55 + 187 - 375*p**2 + 210 - 719 + 753*p.
-(p - 1)**2*(p + 377)
Let w(u) be the third derivative of u**7/840 + 2*u**6/15 + 26*u**5/5 + 224*u**4/3 + 1568*u**3/3 - 6098*u**2. Factor w(g).
(g + 4)**2*(g + 28)**2/4
Let n(o) be the third derivative of o**5/210 + 2753*o**4/42 + 7579009*o**3/21 + o**2 - 1477*o - 2. Factor n(r).
2*(r + 2753)**2/7
Let k = 5186 + -20729/4. Let a(i) be the first derivative of -15/2*i**2 + 10*i + 12 - 5/3*i**3 + k*i**4 - i**5. Let a(l) = 0. Calculate l.
-1, 1, 2
Let y = -15066 + 15070. Determine s, given that -8/3*s**5 + 26/3*s**y - 26/3*s**2 + 8/3*s**3 + 0*s + 0 = 0.
-1, 0, 1, 13/4
Suppose -75/2*t + 158 - 1/2*t**2 = 0. What is t?
-79, 4
Let z(x) be the second derivative of x**5/20 + x**4/2 - 84*x**2 - 4*x + 5. Let l(r) be the first derivative of z(r). Factor l(o).
3*o*(o + 4)
Determine d so that 3/4*d**2 - 13/4*d - 15/4 + 1/4*d**3 = 0.
-5, -1, 3
Let p = -257 + 290. Factor -996*u**3 + 969*u**3 - 53*u**2 - 10*u**2 - p*u + 3*u**4.
3*u*(u - 11)*(u + 1)**2
Factor 4*a**2 + a**2 + 131548 + 2380*a + 154475 - 2803.
5*(a + 238)**2
What is n in -24624 - 534*n**3 - 99*n**2 - 530*n**3 + 2399*n + 1061*n**3 + 1273*n = 0?
-57, 12
Factor -69*k**3 + 29*k**3 - 576*k**2 - 2299*k + 1787*k - 122*k**3.
-2*k*(9*k + 16)**2
Suppose 0 = 2*r + 16, 2*a - r + 389 - 403 = 0. Let w(i) be the first derivative of 16/11*i - 1/22*i**4 + 40 + 4/11*i**a - 12/11*i**2. Factor w(q).
-2*(q - 2)**3/11
Let f(i) = -5*i**3 + 182 - 7*i**3 + i**3 + 10*i**3 - 26*i**2 + 7*i. Let w be f(-26). Factor w*c - 2/17*c**3 + 0 - 2/17*c**2.
-2*c**2*(c + 1)/17
Let u = 23289517/138012 - -2/34503. Determine t, given that -u - 3/4*t**2 + 45/2*t = 0.
15
Let a(o) be the first derivative of -o**7/42 - o**6/40 + o**5/30 - 4*o**2 - 4*o + 30. Let q(b) be the second derivative of a(b). Solve q(l) = 0 for l.
-1, 0, 2/5
Let q(i) be the second derivative of -i**4/15 - 78*i**3/5 + 2*i - 27. Determine a, given that q(a) = 0.
-117, 0
Factor 12*s - 74/3 + 1/6*s**2.
(s - 2)*(s + 74)/6
Let u = 10688 + -10688. Let s(r) be the first derivative of -3/2*r**2 - 2*r**3 + 24 - 3/4*r**4 + u*r. Determine b, given that s(b) = 0.
-1, 0
Let m(k) = 4*k. Let y(c) = c**2 + 6*c + 6. Let i be y(-5). Let d be m(i). What is t in -14*t + 0*t**2 + 20*t - d*t**3 - 10*t + 8*t**2 = 0?
0, 1
Let n(m) be the third derivative of -m**7/1890 - 2*m**6/405 + 5*m**3/2 + 68*m**2. Let l(a) be the first derivative of n(a). Factor l(f).
-4*f**2*(f + 4)/9
Factor -3/5*v**2 - 462/5 + 237/5*v.
-3*(v - 77)*(v - 2)/5
Let z(l) be the second derivative of -1/12*l**4 - 7/6*l**3 + 0*l**2 + 22*l + 0. Let z(j) = 0. What is j?
-7, 0
Let x(c) be the first derivative of c**4/12 - 712*c**3/9 + 42007*c**2/2 + 84966*c - 8002. What is h in x(h) = 0?
-2, 357
Let s(n) be the second derivative of 50/21*n**3 + 1/210*n**6 + 0 + 88*n + 0*n**2 + 10/7*n**4 + 3/20*n**5. Factor s(h).
h*(h + 1)*(h + 10)**2/7
Let o be -2 + (-3 - -2) + (-16)/(-2). Suppose -o*l + 8*l = 36. Let -l + 2*p**4 + 2*p**3 + 34*p - 169*p**2 + 139*p**2 + 4*p**3 = 0. What is p?
-6, 1
Suppose -3*o - b = 3*b + 22, 0 = -o - 5*b - 22. Let r be o/6 + (-20)/(-6). Let -8*i + 12*i**2 + r*i**3 + 0*i**3 + 6 + 23*i = 0. What is i?
-2, -1
Let p(m) be the third derivative of -m**6/120 + 103*m**5/12 + 259*m**4/12 - 172*m**3 - 2514*m**2. Factor p(g).
-(g - 516)*(g - 1)*(g + 2)
Suppose 708*g - 714*g = -12. Let u(q) be the third derivative of 0*q - 1/240*q**5 + 0*q**3 + 1/160*q**6 + 0 + g*q**2 + 0*q**4. Factor u(i).
i**2*(3*i - 1)/4
Let g(y) be the second derivative of -100/3*y**3 + 7 - 5/2*y**4 - 125/2*y**2 + y + 2*y**5 - 1/6*y**6. Suppose g(a) = 0. What is a?
-1, 5
Let u be 4*1*(-30 - -414). Let a be ((-4)/14)/((-1)/7). Let -m**2 + u*m + 6 - 5*m**2 - 1534*m - a*m**3 = 0. What is m?
-3, -1, 1
Let w = 1510023 - 1510023. Solve 32/7*t**2 - 4/7*t**3 + w + 0*t = 0.
0, 8
Let a(p) be the first derivative of -164*p**3/3 - 744*p**2 - 108*p - 2164. Suppose a(l) = 0. What is l?
-9, -3/41
Let p(g) be the third derivative of g**5/330 - 86*g**4/33 + 29584*g**3/33 + g**2 - 926. Factor p(t).
2*(t - 172)**2/11
Solve -6/19*s**2 + 6/19*s**4 + 0 - 2/19*s**5 + 4/19*s - 2/19*s**3 = 0.
-1, 0, 1, 2
Let p(j) be the third derivative of 4*j**3 + 0*j + 5/6*j**4 + 1/15*j**5 + 13*j**2 - 10. Let p(t) = 0. What is t?
-3, -2
Solve 261/8*o**2 - 597/4*o - 18 + 51/8*o**3 = 0.
-8, -2/17, 3
Suppose 0 = -2*y - 9 + 91. Let r = -39 + y. Factor 17*o**3 - 3*o**3 + o + o**2 - 25*o**r + 4 + 5*o.
2*(o - 1)**2*(7*o + 2)
Let w be 300781/55692 - (-1)/36. Factor -10/7*s**2 + 4*s + w.
-2*(s + 1)*(5*s - 19)/7
Suppose -17*b - 110602 = -51*b. Suppose 910*w**2 + 244*w + b*w**2 + 4 - 442*w**2 = 0. What is w?
-2/61
Suppose 28900/9*a + 1/9*a**4 + 0 - 113/3*a**3 + 9520/3*a**2 = 0. What is a?
-1, 0, 170
Let o(z) = 7*z**2 + 245*z + 2133. Let s be o(-16). What is p in 12*p**4 - 92/7*p**3 - 376/7*p**2 - 90/7*p + 100/7 - 10/7*p**s = 0?
-1, 2/5, 5
Let k(l) be the second derivative of -l**7/15120 + l**6/48 - 45*