0. Let x(w) = 3*i(w) - 16*k(w). Let r be x(-10). Factor 0*n**3 - 2/11*n**4 + r + 0*n + 2/11*n**2.
-2*n**2*(n - 1)*(n + 1)/11
Let m(b) be the third derivative of -2*b**7/105 - 2*b**6/15 + 11*b**5/15 - b**4 - 45*b**2 - 2. Factor m(u).
-4*u*(u - 1)**2*(u + 6)
Let i be (-45)/(-6)*36/100. Let p = 16/5 - i. Let -1/4*d**3 + 1/4*d + 1/2*d**2 - p = 0. What is d?
-1, 1, 2
Let t(c) be the second derivative of 0 + 2/7*c**3 + 0*c**2 + 11/42*c**4 + 3/70*c**5 + 7*c. Suppose t(o) = 0. What is o?
-3, -2/3, 0
Let x(m) be the first derivative of m**5/15 + m**4/12 - 5*m**3/9 + m**2/2 - 19. Let x(s) = 0. What is s?
-3, 0, 1
Suppose 2*g = 4, -97 - 211 = -d + 4*g. Let u = 958/3 - d. Determine z, given that -u*z**2 + 2*z + 0 = 0.
0, 3/5
Let s(a) be the second derivative of -a**6/255 - 2*a**5/17 - 25*a**4/17 - 500*a**3/51 - 625*a**2/17 + 113*a. Factor s(l).
-2*(l + 5)**4/17
Let a(i) = i**3 - 8*i**2 + 6*i - 13. Let m be a(8). Let w be (-130)/m + 4 + 0. Factor 0*o**2 + 0*o + w*o**3 + 0.
2*o**3/7
Let s = 58 + -50. Let j(n) = n**2 - 6*n - 14. Let k be j(s). Determine r so that 0*r + 2/5*r**k + 6/5*r**4 + 0 - 2/5*r**5 - 6/5*r**3 = 0.
0, 1
Factor -7377*p**4 - 4*p - 2*p**2 + 4 + 7375*p**4 + 6*p**3 - 2*p.
-2*(p - 2)*(p - 1)**2*(p + 1)
Let u be (-62)/6 - 638/(-58). Solve -2/3*g**3 - 2/3*g**4 + 2/3*g**2 + 0 + u*g = 0.
-1, 0, 1
Let a = -34 - -36. Let g(y) be the second derivative of 0 + 1/6*y**a - 1/15*y**5 - 4*y - 5/18*y**3 + 2/9*y**4. Solve g(m) = 0 for m.
1/2, 1
Let r be 49/14*(200/(-35))/(-2). Let o(x) be the second derivative of 0 + 1/5*x**5 + 3*x - 7/3*x**4 - 18*x**2 + r*x**3. Determine m so that o(m) = 0.
1, 3
What is r in -24*r**3 - 88*r**2 - 290/3*r - 100/3 = 0?
-2, -5/6
Let i(l) be the first derivative of -4*l**3/3 + 56*l**2 + 240*l + 501. Suppose i(w) = 0. What is w?
-2, 30
Let p be (-2 + (-12)/(-5))*(0 - -5). Factor 3*d + 3*d**p - 1 - 6*d**2 + 0*d**2 + d**3.
(d - 1)**3
Let o be 2/12*12/15. Let a = 2019 - 2015. Factor 4/15*t - 4/15*t**3 + 2/15 + 0*t**2 - o*t**a.
-2*(t - 1)*(t + 1)**3/15
Let f(j) be the first derivative of 4/5*j**2 - 2/15*j**3 + 8 - 8/5*j. Factor f(h).
-2*(h - 2)**2/5
Let u(d) be the third derivative of -245*d**8/192 - 217*d**7/12 - 203*d**6/8 - 85*d**5/6 - 10*d**4/3 - 278*d**2 - d. Factor u(g).
-5*g*(g + 8)*(7*g + 2)**3/4
Let i(o) = -o + 27. Let h be i(24). Let w(g) be the second derivative of 0*g**h + 0 + 1/36*g**4 + 0*g**2 - 4*g + 1/60*g**5. Determine n so that w(n) = 0.
-1, 0
Let j(o) be the third derivative of -o**8/1008 + o**7/90 - o**6/24 + 13*o**5/180 - o**4/18 - 328*o**2. Solve j(n) = 0 for n.
0, 1, 4
Let y(a) be the first derivative of -2 + 0*a + a**2 + 0*a**4 + 1/30*a**5 - 1/3*a**3. Let q(t) be the second derivative of y(t). Let q(k) = 0. Calculate k.
-1, 1
Let v(w) = -w**3 + 13*w**2 + 31*w - 15. Let y be v(15). Let f(c) be the second derivative of -1/6*c**4 - 7*c + y + 2*c**2 + 1/3*c**3. Find z such that f(z) = 0.
-1, 2
Let d(w) be the second derivative of -2*w**6/15 - 3*w**5/5 + 20*w**4/3 + 56*w**3 + 160*w**2 - 391*w. Find f, given that d(f) = 0.
-4, -2, 5
Let z(b) be the third derivative of b**6/150 - 2*b**5/25 - b**4/30 + 4*b**3/5 + 66*b**2 + 2*b. Suppose z(h) = 0. What is h?
-1, 1, 6
Let x(b) = b**4 + b**3 - 2*b**2 + b + 1. Let m(p) = 5*p**4 - 3*p**3 - 18*p**2 + 19*p + 3. Let h(n) = m(n) - 3*x(n). What is v in h(v) = 0?
-2, 0, 1, 4
Let z = 7433 - 81751/11. Let -z + 12/11*k**2 - 6/11*k + 6/11*k**3 = 0. What is k?
-2, -1, 1
Suppose -q - 11 = -f, 5*q = -0*f + 2*f - 28. Suppose 0*b + f = b. Find c such that -b*c**2 - 14*c + 12 + c**2 - 6*c = 0.
-3, 1/2
Suppose 0 = 5*f - 0*f - 25. Let c be (4/f)/((-6)/(-15)). Find k such that -k + 0*k**3 + 6*k**c - 3*k**3 + 0*k - 2*k = 0.
0, 1
Solve -2/11*z**5 - 320000/11 - 256000/11*z + 59200/11*z**2 + 158/11*z**4 - 4640/11*z**3 = 0 for z.
-1, 20
Let c be 3/6 + 223*15/42. Let a = -6115/77 + c. Find q, given that 0 - 24/11*q**2 - a*q + 14/11*q**3 = 0.
-2/7, 0, 2
Factor 29*m**2 + 1682*m + 1/6*m**3 + 97556/3.
(m + 58)**3/6
Let x(i) = -10*i + 253. Let d be x(24). Let u(c) be the first derivative of -2/3*c**3 + 0*c + d + 2*c**2. Factor u(g).
-2*g*(g - 2)
Factor -4442*l**4 + 54*l**2 - 21*l**3 + 8880*l**4 - 4441*l**4.
-3*l**2*(l - 2)*(l + 9)
Let r(j) be the third derivative of 7*j**2 + 0*j + 1/120*j**5 - 1/24*j**3 + 0*j**6 - 1/840*j**7 + 0*j**4 + 0. Find u, given that r(u) = 0.
-1, 1
Suppose -4*o + 16 = 0, 3*o - 21 + 3 = -2*q. Let s(x) be the second derivative of -1/120*x**5 - q*x - 1/3*x**3 + 0 - 1/12*x**4 - 2/3*x**2. Factor s(l).
-(l + 2)**3/6
Suppose 5*i - 105*t - 4 = -103*t, i - 5*t + 13 = 0. Solve 4/9*d**3 + 2/9*d**4 - 8/3*d - 22/9*d**i + 8 = 0 for d.
-3, 2
Let q be -2 - ((-4)/(-10) + (-4)/10). Let z be q/3*(-15)/10*0. Find m, given that -3/4*m + 0 + 3/4*m**3 + z*m**2 = 0.
-1, 0, 1
Let w(y) be the second derivative of 0 + 1/50*y**5 + 2/5*y**2 + 2*y + 2/15*y**4 + 1/3*y**3. Factor w(c).
2*(c + 1)**2*(c + 2)/5
Let m = 175 + -172. Suppose m*d - d = d. Find h such that d + 1/4*h**2 + 1/2*h = 0.
-2, 0
Factor -6 + 3*p - 15/4*p**3 + 9/2*p**2 + 3/4*p**4.
3*(p - 2)**3*(p + 1)/4
Suppose 4*a - 2*t - 38 = -12, 5*a + 10 = -6*t. Let 18/7*o**2 + 9/7 + 24/7*o + 0*o**3 - 3/7*o**a = 0. Calculate o.
-1, 3
Let l be ((-7)/266)/(1506/10296 - (-6)/(-39)). What is d in 14/19*d**2 + 18/19 + 98/19*d**3 - l*d = 0?
-1, 3/7
Suppose 0 = -14*v + 13*v + 4. Suppose 2*p = u, 3*p = u + 2 - 0. Solve 0*i**2 + 0*i**4 - 1 + p*i**v + 3 - 4*i**2 = 0.
-1, 1
Factor 51*x**2 - 55*x**2 - 4*x + 16*x + 16.
-4*(x - 4)*(x + 1)
Let y be 2/10 + (-342)/285 + 2/2. Determine s so that -4/9*s + y - 2/3*s**3 - 10/9*s**2 + 2/9*s**5 + 2/9*s**4 = 0.
-1, 0, 2
Let l be ((-32)/(-104))/(330/624 + (-3)/8). Suppose l + 19/5*i - 2/5*i**2 = 0. Calculate i.
-1/2, 10
Suppose -5*u = -7*x + 3*x - 3, -x - 3 = -2*u. Let g be u + 4*(-3)/(-12). Suppose -2*l**3 - 2/3*l**2 + 2*l - 2/3*l**g + 4/3 = 0. Calculate l.
-2, -1, 1
Let w(f) be the third derivative of f**8/336 + f**7/105 - f**6/15 - 3*f**5/10 - 3*f**4/8 + f**2 - 8. Find c, given that w(c) = 0.
-3, -1, 0, 3
Let y(w) be the third derivative of w**7/42 + 5*w**6/24 - w**5/6 - 5*w**4 - w**2 + w. Factor y(v).
5*v*(v - 2)*(v + 3)*(v + 4)
Let l(m) = -5*m + 17. Suppose 0 = -12*y + 5*y + 21. Let h be l(y). Factor 2 - h*t + 1/2*t**2.
(t - 2)**2/2
Let c(o) be the first derivative of 0*o**2 + 0*o**4 - o**3 + 1/480*o**5 + 1/1440*o**6 + 1 + 0*o. Let u(g) be the third derivative of c(g). Factor u(y).
y*(y + 1)/4
Let f(p) be the third derivative of -11*p**2 + 0*p - 1/90*p**6 - 1/2*p**3 + 1/3*p**4 - 1/30*p**5 + 0. Let h(a) be the first derivative of f(a). Factor h(s).
-4*(s - 1)*(s + 2)
Let g(b) = -b**3 + b**2 + b + 2. Let l be g(-2). Let y = l - 9. Let -6 - 1 + 6 + y*c**2 - 2*c**2 = 0. Calculate c.
-1, 1
Let y(u) be the first derivative of 2*u**3/3 + 13*u**2 + 70. Suppose y(p) = 0. What is p?
-13, 0
Let i be 2*22/(-8) + 8. Let -5/2*g**2 - i*g + 0 = 0. What is g?
-1, 0
Suppose 4*d + 3*m - 14 - 57 = 0, 4*m = 5*d - 112. Find f such that -4*f**2 + 3*f**3 - 4*f + d*f**5 + 4*f**4 + 9*f**3 - 28*f**5 = 0.
-1, -1/2, 0, 1
Let h(m) = m**3 + 2*m - 1. Let i(b) = 7*b**3 - 8*b**2 + 24*b - 6. Suppose 0 = 10*x - 6*x + 4. Let t(z) = x*i(z) + 6*h(z). What is n in t(n) = 0?
0, 2, 6
Let b(m) be the second derivative of -m**6/45 - 11*m**5/15 + 4*m**4 - 74*m**3/9 + 25*m**2/3 - 17*m + 1. Factor b(a).
-2*(a - 1)**3*(a + 25)/3
Let g = 8 + -7. Let t = 4 - g. Factor -8 + 10*d**4 - 3 + 34*d**2 - 36*d**t + 3.
2*(d - 2)*(d - 1)**2*(5*d + 2)
Suppose -2*c - 2*m - 174 = 0, 2*m - 6 = 4*m. Let p = c + 87. Factor 7/4*t**p + t**4 + 1/2*t**2 - 1/4*t + 0.
t*(t + 1)**2*(4*t - 1)/4
Factor -5376/5 - 1728/5*g - 6/5*g**3 - 36*g**2.
-6*(g + 8)**2*(g + 14)/5
Let h = 320437/4 - 79653. Let i = h + -454. Let 3/4*z - 3/4 - 21/2*z**3 + 33/4*z**4 + 9/2*z**2 - i*z**5 = 0. What is z?
-1/3, 1
Let q(b) be the first derivative of 4*b**3/27 + 22*b**2/9 + 32*b/3 + 179. Factor q(p).
4*(p + 3)*(p + 8)/9
Let l(z) be the first derivative of z**4/4 - 11*z**3/3 + 35*z**2/2 - 25*z + 4. Factor l(y).
(y - 5)**2*(y - 1)
Let f be 65/52*86/(-5). Let y = 26 + f. Let y*h**3 + 0 + 3/2*h + 6*h**2 = 0. What is h?
-1, -1/3, 0
Suppose 38*i**3 + 0*i**4 - 80*i**3 + 2*i**4 + 46*i**3 = 0. Calculate i.
-2, 0
Let u(j) = -j**2 - 13*j - 10. Let m be u(-12). Let 5*c**m - 16*c**4 - 15*c**3 + 2*c**5 - 7*c**5 + 31*c**4 = 0. What i