1*l**7 + 0 + 1/110*l**5 + 0*l**6 + 0*l**2 + l + 0*l**3. Determine x so that m(x) = 0.
-1, 0, 1
Let n(a) be the first derivative of 11*a**3/24 + a**2/16 - 5*a/4 + 1024. Suppose n(b) = 0. What is b?
-1, 10/11
Let r(w) be the first derivative of w**7/21 + 2*w**6/15 + w**5/10 - 9*w + 11. Let l(d) be the first derivative of r(d). Find c such that l(c) = 0.
-1, 0
Let z(s) = 2*s - 10. Let q be z(-10). Let t be 112/q + 48/12. Factor -16/15*o**4 + 0*o + 14/15*o**3 + 0 - t*o**2 + 2/5*o**5.
2*o**2*(o - 1)**2*(3*o - 2)/15
Let x(t) be the first derivative of -t**5/20 + 21*t**4/16 - 87. Let x(v) = 0. What is v?
0, 21
Solve 2/11*r**4 - 34/11*r**3 + 76/11 - 78/11*r**2 + 34/11*r = 0 for r.
-2, -1, 1, 19
Let p(z) = -6*z**5 - 14*z**4 + 4*z**2 + 4*z. Let g(b) = b**4 - b**3 - b**2 - b. Let x(y) = -4*g(y) - p(y). Find n, given that x(n) = 0.
-1, -2/3, 0
Suppose 3*n - 5 = 5*x - 11, 5*x + 2 = -n. Factor x - 3/5*u**4 - 3/5*u**3 + 0*u**2 + 0*u.
-3*u**3*(u + 1)/5
Let a(r) be the second derivative of r**4/3 + 40*r**3 + 1800*r**2 - r - 1. Factor a(q).
4*(q + 30)**2
Let u be (-867 - -881) + (-1 - 10). Find t, given that -9/7*t**4 + 15/7 + 3/7*t**5 - 30/7*t**u - 6/7*t**2 + 27/7*t = 0.
-1, 1, 5
Let z(l) be the second derivative of -l**5/120 + l**4/24 + l**3/9 + 91*l. Factor z(w).
-w*(w - 4)*(w + 1)/6
Let v(x) = 2166*x**3 + 1555*x**2 + 260*x + 4. Let w(a) = -1444*a**3 - 1036*a**2 - 173*a - 3. Let r(y) = -5*v(y) - 8*w(y). Solve r(c) = 0 for c.
-1/2, -2/19
Let c(k) be the second derivative of 0 + 1/36*k**4 - 1/18*k**3 - 6*k + 0*k**2. Determine a so that c(a) = 0.
0, 1
Factor -11*w**4 + 42*w**2 + 18*w + 6*w**4 + 3*w**4 - 2*w**3 - 216.
-2*(w - 3)**2*(w + 3)*(w + 4)
Let t(o) be the second derivative of 1/2*o**4 - 21/20*o**5 - o + 0 + 0*o**3 + 3/10*o**6 + 0*o**2. Factor t(u).
3*u**2*(u - 2)*(3*u - 1)
Suppose 110*a - 179 = 8*a + 229. Determine y, given that 0 + 4/5*y**a + 0*y**2 + 8/5*y**3 + 0*y = 0.
-2, 0
Let k = 1928 + -9562/5. Let p = -14 + k. Let 0 - 4/5*r**4 - 2/5*r + 4/5*r**2 - 6/5*r**5 + p*r**3 = 0. Calculate r.
-1, 0, 1/3, 1
Suppose 2*v = 4*v + 2. Let s be (((-12)/21)/v)/(60/70). What is h in -4/3*h - 2*h**2 - s*h**3 + 0 = 0?
-2, -1, 0
Let q = 19039 - 19035. Determine o, given that 2/7 + 13/7*o + 30/7*o**2 + 3/7*o**5 + 32/7*o**3 + 16/7*o**q = 0.
-2, -1, -1/3
Let a = 35 - 8. Let c = a - 19. Let -12*v**2 + 3*v**4 - 8*v + 0*v**4 - 4*v**4 - 2 - v**4 - c*v**3 = 0. Calculate v.
-1
Suppose -33*i - 247 = -i - 343. Factor -2/3*d + 1/6*d**i + 0*d**2 + 0.
d*(d - 2)*(d + 2)/6
Let i be -8*2/64 + 241/960. Let d(u) be the third derivative of -3*u**2 + i*u**6 + 1/64*u**4 - 3/16*u**3 + 0*u + 1/96*u**5 + 0. Factor d(k).
(k - 1)*(k + 3)**2/8
Factor -3*v**2 + v**2 - 176*v - 3426 - 512 + 66.
-2*(v + 44)**2
Suppose 7*r - 11*r = 0. Let t(d) be the third derivative of 2/3*d**3 + 1/30*d**5 + r*d - 1/4*d**4 + 0 + d**2. Factor t(a).
2*(a - 2)*(a - 1)
Suppose 0 = 1213*x - 1272*x. Solve 2/5 + 2/5*n**4 + x*n**3 + 0*n - 4/5*n**2 = 0.
-1, 1
Let y = -448 - -960. Let h be (-162)/(-5) + 2/(-5). Determine t so that -512*t - t**4 - 233*t**2 - h*t**3 - y + 41*t**2 - t**4 = 0.
-4
Let j(k) = 2*k + 32. Let h be j(-15). Factor 6*w**2 - 6*w - 1 + 8*w**3 - 3 + 33*w**5 - 35*w**5 - h*w**2.
-2*(w - 2)*(w - 1)*(w + 1)**3
Let r be (0 - 0)*(-6 - 0)/(-30). Factor 0*o**3 + 0 + r*o**2 - 1/12*o**4 + 0*o.
-o**4/12
Let j(s) be the third derivative of 1/32*s**5 + 0*s**3 - 3*s**2 + 0*s + 0 - 1/80*s**6 + 1/560*s**7 - 1/32*s**4. Let j(l) = 0. Calculate l.
0, 1, 2
Suppose 4*f + 8 = -0*i - 4*i, 0 = -4*i - 16. Find m, given that -2*m + 5*m**4 + 12 - 7 + 5*m**5 - 10*m**f + 7*m - 10*m**3 = 0.
-1, 1
Let m(p) = p**3 + 20*p**2 - p - 18. Let n be m(-20). Determine u, given that -28*u**4 - 16*u - 84*u**3 + 40*u**2 - 8*u**4 - 104*u**n = 0.
-1, -2/3, 0
Let o(n) be the second derivative of -25*n**4/12 - 180*n**3 - 510*n**2 - 4*n + 4. Let w(b) = 2*b**2 + 90*b + 85. Let f(u) = -3*o(u) - 35*w(u). Factor f(d).
5*(d + 1)*(d + 17)
Let f = -3121/91 - -54/13. Let w = f - -31. Solve 6/7*l - 4/7*l**3 - w*l**2 + 4/7 = 0 for l.
-2, -1/2, 1
Let a(j) be the first derivative of -4 + 0*j - 1/9*j**5 - 7/2*j**2 - 25/24*j**4 + 10/9*j**3. Let v(n) be the second derivative of a(n). Factor v(g).
-5*(g + 4)*(4*g - 1)/3
Factor -390*y**2 + 13*y - 55*y + 388*y**2 - 40.
-2*(y + 1)*(y + 20)
Factor -28 + 88*v - 4*v**2 + 122 + 124 - 26.
-4*(v - 24)*(v + 2)
Suppose -19*p + 11*p + 32 = 0. Let t(j) be the second derivative of 1/18*j**p - 2/9*j**3 + 0*j**2 + 0 + 3*j. Suppose t(r) = 0. Calculate r.
0, 2
Let m(f) = -f**3 - 7*f**2 - 10*f - 18. Let w be m(-4). Let a = w - -29. Factor 0 - 2/15*g**4 + 0*g**2 + 0*g**a + 2/15*g**5 + 0*g.
2*g**4*(g - 1)/15
Let j be (-198)/264*(-2)/9. Factor -j*h**2 + 5/3*h - 25/6.
-(h - 5)**2/6
Suppose -3*n + 5*l = -9 + 7, -l + 22 = 5*n. Let a(f) be the third derivative of 1/30*f**3 + 0*f + 0 + 1/60*f**n - 3*f**2 + 1/300*f**5. Solve a(y) = 0 for y.
-1
Suppose 0 = -3*s - 3*o + 12, 5*s - 4*o - 32 = s. Let l be (10/s)/((-5)/(-45)). Determine r so that -12*r**4 + 5*r**2 - 6 - 2*r**2 + l*r**4 - 9*r + 9*r**3 = 0.
-2, -1, 1
Let o(p) = -2*p**2 - 51*p + 27. Let i be o(-26). Let u be i/(-3) + (-33)/(-45). Find g, given that -2/5*g**3 + 2/5*g**4 - u*g**2 + 0 + 2/5*g = 0.
-1, 0, 1
Let j(a) be the third derivative of -a**5/12 + 5*a**4/2 - 50*a**3/3 - 126*a**2. Determine g, given that j(g) = 0.
2, 10
Let i = 106 + -316/3. Suppose -2*z - 2*z = -8*z. Factor -2/3 - 4/3*q + z*q**2 + 4/3*q**3 + i*q**4.
2*(q - 1)*(q + 1)**3/3
Solve 32/9*d**3 + 2/9*d**4 + 56/9*d**2 + 0*d + 0 = 0.
-14, -2, 0
Let d(f) be the second derivative of f**6/105 + 9*f**5/70 + 5*f**4/14 + f**3/3 - 477*f + 1. Factor d(a).
2*a*(a + 1)**2*(a + 7)/7
Let q(z) = -z**3 + 25*z**2 + 94*z - 1. Let h(g) = -2*g**3 + g**2 - g - 1. Let m(v) = 4*h(v) - 4*q(v). Determine f so that m(f) = 0.
-19, -5, 0
Let a(n) = -23*n**4 + 27*n**3 + 20*n**2 - 19*n. Let r(l) = -24*l**4 + 28*l**3 + 20*l**2 - 20*l. Let f(d) = -4*a(d) + 5*r(d). What is x in f(x) = 0?
-6/7, 0, 1
Let n(p) = -p**3 + p**2 - 10*p - 12. Let z(a) = 2*a**2 - 2. Let b(t) = n(t) - 6*z(t). Factor b(s).
-s*(s + 1)*(s + 10)
Let x(l) be the second derivative of -l**5/20 + l**4/6 + l**3/2 + 3*l. Factor x(w).
-w*(w - 3)*(w + 1)
Let u(b) be the second derivative of 0*b**2 + 0 + 0*b**3 + 1/24*b**4 + 1/10*b**5 + 4*b. Suppose u(w) = 0. Calculate w.
-1/4, 0
Let g(i) be the first derivative of i**7/2100 - i**5/300 + i**3 - 31. Let w(r) be the third derivative of g(r). Suppose w(c) = 0. What is c?
-1, 0, 1
Find r such that -3/2 + 29/4*r - 3/4*r**2 - 29/4*r**3 + 9/4*r**4 = 0.
-1, 2/9, 1, 3
What is r in 69 + 6*r**4 - 141 - r**5 + 66 - 10*r**3 + 11*r = 0?
-1, 1, 2, 3
Let z be 1416/(-9) + (-4)/12. Let d = 158 + z. Factor 0 + 1/3*c**2 + d*c.
c*(c + 1)/3
Let f = 286/9 - 563/18. Find u, given that 0 - 3/2*u**3 + 0*u + f*u**4 + u**2 = 0.
0, 1, 2
Solve -92/3 + 2/3*j**3 - 134/3*j - 40/3*j**2 = 0.
-2, -1, 23
Let t = 13 + -8. Let b be 7 - t - 1/((-7)/(-10)). Factor -b - 2/7*h**2 - 6/7*h.
-2*(h + 1)*(h + 2)/7
Determine v, given that 5*v**4 - 50*v - 30*v**2 + 5*v**3 + 50*v = 0.
-3, 0, 2
What is w in 56/17*w - 24/17 + 14/17*w**3 + 94/17*w**2 = 0?
-6, -1, 2/7
Suppose -3*y = 5*m - 263, 2*m - 160 = -m - 4*y. Let s be m/16 + -3 + (-14)/(-8). Factor s*t**2 + 3*t**3 + 1/2*t + 1/2*t**5 + 0 + 2*t**4.
t*(t + 1)**4/2
Let a(i) = i - 1. Let v(h) = -10*h**3 + 95*h**2 + 311*h - 176. Let l(d) = -4*a(d) - v(d). Factor l(b).
5*(b - 12)*(b + 3)*(2*b - 1)
Let q = 351 + -207. Factor 147*z**3 - 3*z**4 - q*z**3 + z**4 - z**4.
-3*z**3*(z - 1)
Let m(r) be the second derivative of -r**5/60 + 2*r**4/9 + r**3/2 + 10*r. Factor m(c).
-c*(c - 9)*(c + 1)/3
Let o(t) be the first derivative of t**4/4 - 3*t**2/2 + 10*t - 2. Let n(y) be the first derivative of o(y). Suppose n(b) = 0. Calculate b.
-1, 1
Let g(s) be the second derivative of -2*s + 0 + 5/4*s**4 - 5*s**2 - 5/6*s**3 + 1/4*s**5 - 1/6*s**6. Suppose g(n) = 0. What is n?
-1, 1, 2
Suppose -o = 5*d - 27, -2*o + 7*o - 30 = -4*d. Factor 12*c**2 + d*c**2 + 70*c - 245 - 22*c**2.
-5*(c - 7)**2
Let t(d) = d**4 + 52*d**3 - 185*d**2 + 161*d - 7. Let g(a) = -18*a**3 + 62*a**2 - 54*a + 2. Let q(f) = -14*g(f) - 4*t(f). Factor q(s).
-4*s*(s - 7)*(s - 2)**2
Let f(l) be the second derivative of -l**7/210 - l**6/60 + l**4/12 + l**3/6 - 15*l**2/2 - 12*l. Let o(a) be the first deriva