u) = u**2 - u - 1. Let a(n) be the second derivative of n**3 + 2*n**2 - n. Let c = -12 - -11. Let j(x) = c*a(x) - 2*i(x). Find k, given that j(k) = 0.
-1
Let p(u) be the third derivative of 0*u - 1/270*u**5 + 2/27*u**3 - 5*u**2 + 0 - 1/108*u**4. Find v, given that p(v) = 0.
-2, 1
Factor 0*h + 8/5*h**2 + 4/5*h**4 + 0 - 12/5*h**3.
4*h**2*(h - 2)*(h - 1)/5
Let b(s) be the second derivative of s**7/126 - s**5/15 - s**4/18 + s**3/6 + s**2/3 + 17*s. What is z in b(z) = 0?
-1, 1, 2
Let c(o) be the first derivative of 2/5*o**5 + 6*o**3 + 0*o**2 - 3*o**4 + 0*o + 9. Factor c(q).
2*q**2*(q - 3)**2
Let b(g) be the first derivative of -4*g**5/5 + 3*g**4 - 4*g**3/3 - 6*g**2 + 8*g + 64. Factor b(d).
-4*(d - 2)*(d - 1)**2*(d + 1)
Let f(i) be the second derivative of i**5/30 + i**4/6 + 2*i**3/9 + 4*i. Factor f(p).
2*p*(p + 1)*(p + 2)/3
Suppose b = 3*p - 2, 11 = 5*p - 5*b + 1. Let l(m) be the second derivative of -1/30*m**4 + 2*m - 1/15*m**3 + p + 0*m**2. Factor l(o).
-2*o*(o + 1)/5
Let d be 10/(-15)*-3 + 0. Let y be -5*1*(-4)/15. Factor y + 1/3*z**d + 4/3*z.
(z + 2)**2/3
Suppose -12*h - 10/3 - 7/6*h**2 = 0. Calculate h.
-10, -2/7
Factor -5*i + 2*i - 3*i**2 - 18 + 0*i**2 + 6*i**2.
3*(i - 3)*(i + 2)
Let t(l) = -6*l**4 + l**3 + 7*l**2 - 5*l. Let i(p) = 7*p**4 - p**3 - 8*p**2 + 6*p. Let r(a) = 5*i(a) + 6*t(a). Factor r(j).
-j**2*(j - 2)*(j + 1)
Let l be 2/24 - 3/(-12). Factor 1/3*d + 0 + 2/3*d**2 + l*d**3.
d*(d + 1)**2/3
Suppose -40 = -7*l + 2*l. Let j be (-8)/(-5) + l/20. Factor 0*f**3 + 0*f + 0*f**4 + 0*f**j + 2/9*f**5 + 0.
2*f**5/9
Let b = 19 - -5. Let s be 6/(-10) - b/(-20). Factor 0*l + s*l**5 - 3/5*l**4 - 3/5*l**3 + 3/5*l**2 + 0.
3*l**2*(l - 1)**2*(l + 1)/5
Suppose 0 = 18*h - 22*h. Suppose -9/2*t**5 + 0 + 0*t + h*t**2 + 0*t**3 + 3*t**4 = 0. Calculate t.
0, 2/3
Let o be (-46)/(-14) + 2/(-7). Let z(m) be the first derivative of 0*m**2 + 0*m**4 + 2/3*m**o - m - 1 - 1/5*m**5. Factor z(x).
-(x - 1)**2*(x + 1)**2
Let n(i) be the third derivative of 0 + 1/100*i**5 - 1/40*i**4 + 0*i + 2*i**2 - 1/5*i**3. Find m, given that n(m) = 0.
-1, 2
Let y = 42202/5 + -8334. Let c = -106 + y. Factor c*s + 4/5 - 2/5*s**2.
-2*(s - 2)*(s + 1)/5
Let f(s) = 4*s**4 - 6*s**3 - 6*s**2 - 8*s - 8. Let p(i) = i**4 - i**3 - i**2 - i - 1. Let v(c) = -f(c) + 8*p(c). Suppose v(o) = 0. Calculate o.
-1/2, 0, 1
Suppose -1 - 4*a**3 + 0 - 8*a**2 + 1 = 0. What is a?
-2, 0
Let s(o) be the second derivative of 4*o - 7/27*o**3 - 1/18*o**5 - 1/9*o**2 - 11/54*o**4 + 0. Let s(m) = 0. What is m?
-1, -1/5
Factor 383 - 622 - 5*j**2 - 1041 - 160*j.
-5*(j + 16)**2
Let t(z) be the second derivative of -z**7/210 - z**6/50 + 5*z - 2. Factor t(s).
-s**4*(s + 3)/5
Let h(q) be the third derivative of q**8/336 + q**7/105 - q**5/30 - q**4/24 - 4*q**2. Factor h(w).
w*(w - 1)*(w + 1)**3
Let s(v) = 9*v**3 - 21*v**2 - 21*v + 231. Let m(y) = -y**3 + y - 1. Let n(p) = -6*m(p) - s(p). Factor n(q).
-3*(q - 5)**2*(q + 3)
Let a(u) be the first derivative of u**4/4 + 4*u**3/3 - u**2/2 - 4*u - 10. Find s such that a(s) = 0.
-4, -1, 1
Let s(b) be the first derivative of -b**6/15 + 12*b**5/25 - 7*b**4/5 + 32*b**3/15 - 9*b**2/5 + 4*b/5 + 6. Factor s(h).
-2*(h - 2)*(h - 1)**4/5
Let f(z) be the third derivative of z**6/240 + z**5/40 + z**4/16 + z**3/12 - 9*z**2. Factor f(l).
(l + 1)**3/2
Let n = -634 - -98272/155. Let l = n - -147/620. Factor 0*k + 1/4*k**5 - 1/4*k**3 - 1/4*k**2 + l*k**4 + 0.
k**2*(k - 1)*(k + 1)**2/4
Let i be 0*(-6)/(1 - 7). Determine s, given that 3/4*s + i - 15/4*s**2 + 9/2*s**3 = 0.
0, 1/3, 1/2
Factor 0*c**2 + 951*c - 956*c + c**2.
c*(c - 5)
Let g(x) be the second derivative of -x**7/28 + x**6/60 + 3*x**5/20 - x**4/12 - x**3/4 + x**2/4 - x. Determine d, given that g(d) = 0.
-1, 1/3, 1
Let t(o) be the second derivative of -5*o**4/12 + 5*o**3/6 - 3*o**2 + 3*o. Let u(v) = -4*v**2 + 4*v - 5. Let j(h) = 5*t(h) - 6*u(h). Factor j(s).
-s*(s - 1)
Let o(w) be the third derivative of w**8/1680 - w**6/360 - w**3/2 - 2*w**2. Let r(a) be the first derivative of o(a). Determine n so that r(n) = 0.
-1, 0, 1
Suppose 0 = -3*f - 2*l, 3*f - 4*l = -0*f. Let z(i) = i + 32. Let m be z(f). Factor 8*s**2 - 16*s**3 - m*s**4 - 3*s + 6*s**2 + s.
-2*s*(s + 1)*(4*s - 1)**2
Let s(b) be the third derivative of 0*b + 0*b**4 - 1/525*b**7 + 0 - 1/600*b**6 + 0*b**5 - 6*b**2 - 1/1680*b**8 + 0*b**3. Factor s(d).
-d**3*(d + 1)**2/5
Let t(v) be the second derivative of v**7/126 - v**6/90 - v**5/30 + v. Solve t(s) = 0 for s.
-1, 0, 2
Let v(q) = 2*q + 5. Let d be v(-9). Let h = d - -16. Let 2/5*x - 2/5*x**h + 0 + 0*x**2 = 0. Calculate x.
-1, 0, 1
Let t(c) be the second derivative of -c**7/84 + c**6/60 + c**5/20 - 6*c. Factor t(u).
-u**3*(u - 2)*(u + 1)/2
Let a(f) be the second derivative of 0*f**3 + 1/4*f**4 + 0*f**2 - 3/20*f**5 + 4*f + 0. Factor a(y).
-3*y**2*(y - 1)
Let u(j) be the third derivative of 0*j**3 + 3*j**2 + 0 - 1/60*j**6 - 1/30*j**5 + 1/12*j**4 + 1/105*j**7 + 0*j. Factor u(o).
2*o*(o - 1)**2*(o + 1)
Let y be 81/(-45)*(-5)/6. What is k in -y*k + 1/2*k**5 - k**2 - 1/2 + k**3 + 3/2*k**4 = 0?
-1, 1
Let s(z) = -17*z**4 + 17*z**3 + 17*z**2 - 17*z - 13. Let d(k) = 8*k**4 - 8*k**3 - 8*k**2 + 8*k + 6. Let n(b) = -13*d(b) - 6*s(b). Factor n(p).
-2*p*(p - 1)**2*(p + 1)
Suppose -12 - 8 = -5*l. Suppose -3*o**2 - 5*o**5 - o - o - 3*o**l + o**4 + 5*o**4 + 7*o**3 = 0. What is o?
-1, -2/5, 0, 1
Suppose -20*x = -28*x + 16. Determine s, given that 6 + 4*s + 2/3*s**x = 0.
-3
Let q(t) be the first derivative of t**3/8 - 21*t**2/16 + 9*t/4 - 34. Solve q(p) = 0.
1, 6
Let c = -4 - -14. Factor 7*y**3 - 2*y**4 - 17*y**3 - 2 - 10*y**3 - 20*y**2 - 8*y**4 - 2*y**5 - c*y.
-2*(y + 1)**5
Let s(f) be the first derivative of 25*f**6/6 - 14*f**5 + 69*f**4/4 - 28*f**3/3 + 2*f**2 + 1. Factor s(h).
h*(h - 1)**2*(5*h - 2)**2
Solve 12/5 - 9/5*p**2 - 12/5*p + 6/5*p**3 + 3/5*p**4 = 0.
-2, 1
Determine s, given that -3/2*s**2 + 3/2*s + 0 = 0.
0, 1
Let g(f) = -2*f**2 - 8*f - 6. Let t be g(-5). Let q = -14 - t. Find a such that -4/9*a + 0 - 2/9*a**q = 0.
-2, 0
Suppose -4*x = -m - 4, -3*x - 2*x - 4*m = -26. Factor -d**2 - 2*d + x*d**3 + 2 + 0 - d**2.
2*(d - 1)**2*(d + 1)
Let g(k) be the third derivative of 0*k**3 + 0*k + 9/40*k**4 + 0 - 3/50*k**5 + 1/200*k**6 - 3*k**2. Let g(z) = 0. Calculate z.
0, 3
Let o(s) be the first derivative of s**3/2 + s**2/4 - s - 7. Factor o(v).
(v + 1)*(3*v - 2)/2
Let x = 1384/4795 - 2/685. Factor -x*i**5 + 2/7*i**3 - 2/7*i**2 + 0 + 2/7*i**4 + 0*i.
-2*i**2*(i - 1)**2*(i + 1)/7
Suppose 0 = q - 1 + 6. Let m(h) = -6*h**5 + 4*h**4 - 6*h**3 + 4*h**2 - h + 5. Let k(l) = l**5 - 1. Let p(n) = q*k(n) - m(n). What is z in p(z) = 0?
0, 1
Let q(b) be the third derivative of b**5/12 - 5*b**4/8 - 10*b**3/3 - 61*b**2. Factor q(a).
5*(a - 4)*(a + 1)
Let z(r) be the first derivative of 3/16*r**4 - 1/3*r**3 + 3 - 1/2*r**2 + 0*r. Factor z(f).
f*(f - 2)*(3*f + 2)/4
Let g = 223/5 + -44. Suppose -2*c + 5 = -5*j - 6*c, 2*c = -4*j + 2. Let 0 - 6/5*l**2 - g*l**j + 0*l = 0. Calculate l.
-2, 0
Let w = 0 + 0. Let t be -6 + 3 - (w + -5). Factor -1/3*f**t + f**3 + 0 - 2/3*f.
f*(f - 1)*(3*f + 2)/3
Let m(w) = 9*w**2 - w. Let r be m(2). Let v be 2 - 5 - r/(-10). Solve 0 + 0*k + v*k**2 - 4/5*k**3 + 2/5*k**4 = 0 for k.
0, 1
Suppose 0*c + 2*c = 0. Let g(x) = -x + 3. Let b be g(c). Solve 5*r**2 - 3 - 2*r**2 - 3*r + 0*r**2 - 3*r**b + 6*r**3 = 0 for r.
-1, 1
Let u(g) = -3*g**4 + 24*g**3 - 65*g**2 + 96*g - 55. Let o(w) = -w**4 + 8*w**3 - 22*w**2 + 32*w - 18. Let r(m) = 7*o(m) - 2*u(m). Factor r(z).
-(z - 2)**4
Let h = 8 - 5. Determine y, given that -2*y - 3*y**2 - 4 + h*y**2 + 6 + 2*y**3 - 2*y**2 = 0.
-1, 1
Let d(s) be the second derivative of -s**4/24 + s**3/2 - 9*s**2/4 - 4*s. Let d(n) = 0. What is n?
3
Factor 0*t**2 - 2/7*t**3 - 4/7 + 6/7*t.
-2*(t - 1)**2*(t + 2)/7
Suppose 103 = -2*c - h, 2*h - 235 = c + 4*c. Let x = c + 443/9. Determine q so that 0 + x*q - 4/9*q**2 + 2/9*q**3 = 0.
0, 1
Let 2/5*k + 7/5*k**2 - 2/5*k**3 + 0 - 7/5*k**4 = 0. What is k?
-1, -2/7, 0, 1
Let p(r) = r**2 + r - 1. Let z be -2*1/(-2)*-1. Let c(d) = 7*d - 10. Let a(s) = z*p(s) + c(s). Suppose a(l) = 0. What is l?
3
Find m, given that 2/7*m**4 + 8/7 - 10/7*m**2 + 0*m + 0*m**3 = 0.
-2, -1, 1, 2
Let w = -23 + 25. Find a such that 0 + 0*a - 2/5*a**w = 0.
0
Let z(x) = -x**3 - 10*x**2 - 11*x + 12. Let v be z(-9). Factor -3*