6. Let j = 1 - -4. Let m(v) = j*i(v) + q(v). Suppose m(n) = 0. Calculate n.
-1
Let s = 19 + 2. Let m = 4 - 0. Suppose -3*u**4 - 16*u + 8 + 2*u**2 + s*u**3 - 8*u**4 - m*u + 2*u**4 = 0. What is u?
-1, 2/3, 2
Let o(d) be the first derivative of d**7/168 + d**6/60 + d**5/240 - d**4/48 - 5*d**2/2 - 1. Let q(z) be the second derivative of o(z). Factor q(c).
c*(c + 1)**2*(5*c - 2)/4
Let k(i) be the second derivative of i**5/5 - 2*i**3 + 4*i**2 + 9*i. Let k(f) = 0. Calculate f.
-2, 1
Let f = -9 + 17. Let -2*y + 0*y - f*y**3 + 4 + 4*y + 6*y - 4*y**4 = 0. Calculate y.
-1, 1
Let y(f) be the third derivative of f**8/10080 - 5*f**4/24 - 3*f**2. Let j(k) be the second derivative of y(k). Let j(v) = 0. Calculate v.
0
Let s(j) be the third derivative of 1/20*j**5 + 0 - 3*j**2 + 0*j**4 - 1/2*j**3 + 0*j. Factor s(h).
3*(h - 1)*(h + 1)
Let l be (-1 - 3)/(2 - 4). Factor 10/17*m**4 + 0*m - 16/17*m**3 - 8/17*m**l + 0.
2*m**2*(m - 2)*(5*m + 2)/17
Solve 35*a + 11*a**3 - 12*a**2 - 17*a**3 + 4*a**4 - 19*a - 2*a**4 = 0 for a.
-2, 0, 1, 4
Let f(d) be the first derivative of d - 2/27*d**3 + 7/54*d**4 + 0*d**2 - 1. Let s(a) be the first derivative of f(a). Find p, given that s(p) = 0.
0, 2/7
Let y be 19/6 - 4/24. Suppose h = -3*u + 11, -h = u - 5*u + y. Factor 0*g**u + 1 + 2*g**3 - 1 + g**4 + g**2.
g**2*(g + 1)**2
Suppose 0 = -8*n + 4*n + 20. Let 3 - n*l + l**4 + 0*l - 1 + 9*l**2 - 5*l**3 - 2*l = 0. What is l?
1, 2
Let w(m) be the third derivative of -m**6/1020 + m**5/85 - 3*m**4/68 + 2*m**2. Suppose w(a) = 0. What is a?
0, 3
Suppose -2*z = -11 - 17. Let p be (42/(-49))/((-3)/z). Factor 0 - 2/3*k - 4/3*k**3 - 1/3*k**p - 5/3*k**2.
-k*(k + 1)**2*(k + 2)/3
Let a(v) be the third derivative of 1/48*v**4 + 0 + 3*v**2 + 1/240*v**6 + 0*v**3 + 1/60*v**5 + 0*v. Suppose a(o) = 0. What is o?
-1, 0
Let k = 761 + -3804/5. Factor -3/5*o - k*o**2 - 2/5.
-(o + 1)*(o + 2)/5
Let r(c) be the second derivative of -c**6/60 - c**5/20 + c**4/24 + c**3/6 - 7*c. Let r(g) = 0. Calculate g.
-2, -1, 0, 1
Let h(k) be the second derivative of 2*k**6/105 - 2*k**5/35 - k**4/21 + 4*k**3/21 + k. Factor h(r).
4*r*(r - 2)*(r - 1)*(r + 1)/7
What is d in -21*d + 26*d - 7*d**3 - 3*d**3 + 5*d**2 = 0?
-1/2, 0, 1
Let d(z) = -3*z**4 - 9*z**3 - 3*z**2 + 16*z + 13. Let t(p) = -2*p**4 - 6*p**3 - 2*p**2 + 11*p + 9. Let x(j) = 5*d(j) - 7*t(j). Solve x(u) = 0 for u.
-2, -1, 1
Let j(f) be the third derivative of 2/27*f**4 + 6*f**2 - 1/54*f**5 + 0*f + 0 + 1/540*f**6 - 4/27*f**3. Factor j(m).
2*(m - 2)**2*(m - 1)/9
Let w(u) be the third derivative of -u**7/15 + 2*u**6/45 + 2*u**5/45 + 6*u**2. Find n, given that w(n) = 0.
-2/7, 0, 2/3
Let v(t) be the second derivative of 4*t**4/3 + 14*t**3/3 - 4*t**2 + 2*t. Factor v(u).
4*(u + 2)*(4*u - 1)
Let a(b) = -5*b + 2*b + 4*b - 2*b. Let q be a(-2). Factor -2/5*w**q + 2/5 + 0*w.
-2*(w - 1)*(w + 1)/5
Factor 3*h + 3/2*h**2 + 0.
3*h*(h + 2)/2
Let l(r) be the first derivative of r**4/14 + 30*r**3/7 + 675*r**2/7 + 6750*r/7 - 29. Factor l(f).
2*(f + 15)**3/7
Suppose 0 = -2*u - u - 3. Let l be u/2 - (-7)/6. Determine j, given that 0*j - 8/3*j**4 + 0 + l*j**5 + 8/3*j**3 + 0*j**2 = 0.
0, 2
Determine q so that -3/5*q + 3/5*q**2 + 0 = 0.
0, 1
Let w(a) = 3*a**3 - 3*a**2 - 3*a - 8. Let k(h) = h**3 - h**2 - h - 3. Let f(g) = 11*k(g) - 4*w(g). Factor f(z).
-(z - 1)**2*(z + 1)
Let x(a) = -4*a**3 + 2*a**2 + 4*a - 2. Let c(q) = q**3 - q**2 - q + 1. Let f(l) = -2*c(l) - x(l). Factor f(j).
2*j*(j - 1)*(j + 1)
Find o, given that -13*o**3 + 36*o + 82 + 7*o**5 - 16*o**4 + 76*o**2 - 98 - 14*o**4 = 0.
-1, 2/7, 2, 4
Suppose 3*d - s = 12, -d + s + 2 = -4. Let y = d + -1. Suppose 0*r**y + 2/5*r - 2/5*r**3 - 1/5*r**4 + 1/5 = 0. Calculate r.
-1, 1
Let l be 1/3*-1 - 7/(-3). Suppose 10/3*f - 25/3*f**l - 1/3 = 0. Calculate f.
1/5
Let f(c) = -c**3 + 7*c**2 - 5*c - 4. Let q be f(6). Find s, given that 0 + 1/4*s**3 - 1/4*s + 0*s**q = 0.
-1, 0, 1
Let z = -18 + 21. Suppose -2 = 2*a - 2*v, -z*a - 2 = v - 11. Solve -18/11*o**a - 2/11 + 12/11*o = 0 for o.
1/3
Suppose -n - 3 = -2*n. Suppose -a + 4*d = 17, -5*d = -n*a - 2*a - 10. Factor -49/2*o**4 + 0*o + 14*o**a + 0 - 2*o**2.
-o**2*(7*o - 2)**2/2
Let b(a) = -9*a + 3*a**2 + a**2 + 0*a**2. Let o(d) = 10*d**2 - 22*d. Let m(k) = -12*b(k) + 5*o(k). Solve m(i) = 0 for i.
0, 1
Let j(h) be the first derivative of h**2 + 0*h**3 - 3 + 0*h - 1/24*h**4 - 1/120*h**5. Let r(t) be the second derivative of j(t). Suppose r(o) = 0. What is o?
-2, 0
Let k(f) be the third derivative of f**6/60 - f**5/2 + 21*f**4/4 - 49*f**3/3 - 26*f**2. Factor k(x).
2*(x - 7)**2*(x - 1)
Let g(k) be the second derivative of -k**5/80 - k**4/16 - k**3/8 - k**2/8 + 8*k. Factor g(r).
-(r + 1)**3/4
Let j(a) = a**2 + 22*a + 25. Let b be j(-21). Let t(c) be the second derivative of 1/8*c**2 - 3*c + 0*c**3 - 1/48*c**b + 0. Factor t(k).
-(k - 1)*(k + 1)/4
Suppose 0 = u - 2*z + 5, z + 1 - 2 = u. Determine c, given that -7*c**2 + 4 - 7*c**2 + 8 - u*c**3 + 5*c**2 = 0.
-2, 1
Let u(g) be the first derivative of 5*g**4/3 + 14*g**3/3 - 8*g/3 + 2. Suppose u(m) = 0. What is m?
-2, -1/2, 2/5
Let w be (2/(-2))/1 - 24/(-8). Factor 0*j - 1/4 + 1/4*j**w.
(j - 1)*(j + 1)/4
Let v(x) be the first derivative of -x**8/420 - x**7/210 + 7*x**3/3 - 6. Let s(w) be the third derivative of v(w). What is t in s(t) = 0?
-1, 0
Let o(t) be the first derivative of 5*t**3 - 3*t**2/2 - 19. Factor o(r).
3*r*(5*r - 1)
Factor -67*d**2 - 3341 - 659 - 74*d**2 + 21*d**2 - 4*d**3 - 1200*d.
-4*(d + 10)**3
Suppose 13*k + 8 = 17*k. Suppose i = k*i. Factor 2/5*q**3 + 0 + i*q + 0*q**2.
2*q**3/5
Let m(d) be the third derivative of d**7/280 - d**6/80 + d**5/80 + d**2. Factor m(t).
3*t**2*(t - 1)**2/4
Determine z so that -3/8*z**2 + 0 + 15/8*z**3 + 3/8*z**4 - 3/4*z - 9/8*z**5 = 0.
-1, -2/3, 0, 1
Let v be (1/5)/((-6)/(-90)). Factor 2/3*d + 4/3*d**2 - 4/3 - 2/3*d**v.
-2*(d - 2)*(d - 1)*(d + 1)/3
Let g(p) be the third derivative of p**2 + 0*p + 0*p**3 - 1/360*p**5 + 0*p**4 - 1/720*p**6 + 0. Factor g(q).
-q**2*(q + 1)/6
Let c(w) be the third derivative of -w**8/1176 + w**6/420 + 3*w**2. Factor c(a).
-2*a**3*(a - 1)*(a + 1)/7
Let p(n) be the second derivative of n**7/42 + n**6/15 - n**4/6 - n**3/6 - 9*n. Factor p(f).
f*(f - 1)*(f + 1)**3
Determine m, given that -2/3*m**5 - 4*m**3 + 0 - 10/3*m**4 + 16/3*m + 8/3*m**2 = 0.
-2, 0, 1
Let k(i) = 9*i - 14. Let q be k(2). Let j(c) be the second derivative of -1/30*c**5 + 0 + 0*c**2 + 1/9*c**q - 1/9*c**3 + c. Solve j(l) = 0.
0, 1
Let t = -5 - -7. Let i(f) be the second derivative of -1/10*f**5 - 1/6*f**4 + 0 - t*f + 0*f**2 + 0*f**3. Solve i(d) = 0 for d.
-1, 0
Let h be 18/6 - (2 + -1). Let -1 + h*d + d**2 + 2 + 0*d**2 = 0. Calculate d.
-1
Let p(g) = -2*g**4 - 18*g**3 - 13*g**2 - 3*g - 3. Let a(u) = 3*u**4 + 17*u**3 + 12*u**2 + 2*u + 2. Let b(h) = 3*a(h) + 2*p(h). Let b(m) = 0. Calculate m.
-2, -1, 0
Let l(n) = n**3 + 8*n + 9. Let t(r) = 2*r + 2. Let m be -7 + 1 - -3 - -1. Let a(z) = m*l(z) + 9*t(z). Factor a(g).
-2*g*(g - 1)*(g + 1)
Let i = -20 + 22. Determine j, given that -4*j**2 - 4*j**5 - 2*j**5 + 3*j**4 + 3*j**5 + i*j**5 = 0.
-1, 0, 2
Let w(f) be the second derivative of f**6/30 + f**4/2 - 2*f. Let o(g) = -3*g**4 - 17*g**2. Let v(i) = 6*o(i) + 17*w(i). Factor v(x).
-x**4
Let f = -6 - -8. Factor 3*w**2 - 4*w**3 + 3*w - 3*w**2 + f*w**5 - w.
2*w*(w - 1)**2*(w + 1)**2
Let f = 13 + -11. Suppose 3*h**f + 5*h**3 + 4*h - 10*h - 3*h**4 + 0*h**2 + h**3 = 0. What is h?
-1, 0, 1, 2
Let g(r) = -r**2 - 5*r + 7. Let u be g(-6). Factor 98*j**3 + 20*j**5 + u - 32*j**2 + 7 - 10*j**3 - 12*j - 72*j**4.
4*(j - 1)**4*(5*j + 2)
Let t(q) be the third derivative of q**9/60480 - q**7/5040 + q**5/30 - 2*q**2. Let b(z) be the third derivative of t(z). What is c in b(c) = 0?
-1, 0, 1
Let q(x) = -x**3 - 6*x**2 + 4. Let l be q(-6). Let w = 4 - l. Factor 0*k + 1/4*k**2 + w.
k**2/4
Let z(t) be the second derivative of -9/2*t**3 + 7*t + 0 + 23/4*t**4 - 9/4*t**5 + 3/2*t**2. Factor z(a).
-3*(a - 1)*(3*a - 1)*(5*a - 1)
Factor 0 - 4/3*f + 2/3*f**2.
2*f*(f - 2)/3
Let m(z) = -z**3 + 8*z**2 - z + 6. Let r be m(8). Let l be (3 - r) + 3/(-3). Factor 2*w**4 - 4*w**l + 3*w**3 - w**3.
-2*w**3*(w - 1)
Solve 24/7*w + 18/7*w**5 - 6*w**3 - 9/7 - 15/7*w**4 + 24/7*w**2 = 0 for w.
-1, 1/3, 1, 3/2
Let w = 155/12 + -49/4. Solve 0 - w*d**2 + 0*d**3 + 2/3*d**4 + 0*d = 0.
-1, 0, 