9*o**2 - 9*o - 12. Let h(n) = -6*a(n) - 7*w(n). Suppose h(q) = 0. What is q?
-1, 2
Suppose 1 = d - 2. Suppose -3 = -d*v - 2*w, -6 = -2*v + 5*v + 5*w. Find u, given that -2*u - 6*u**3 - 2*u**4 - v + 3 - 6*u**2 = 0.
-1, 0
Let g(p) be the third derivative of 1/84*p**4 + 0 - 1/294*p**7 + 4*p**2 - 1/60*p**5 + 1/2352*p**8 + 0*p + 3/280*p**6 + 0*p**3. Find m such that g(m) = 0.
0, 1, 2
Let g = -9 + 1. Let j be 4/g*(-5 + 1). Factor 1/3*b**4 - 1/3*b**j + 0 - 1/3*b + 1/3*b**3.
b*(b - 1)*(b + 1)**2/3
Let p(c) be the second derivative of -c**7/840 - c**6/120 + c**4/6 + c**3/6 - 2*c. Let k(n) be the second derivative of p(n). Let k(u) = 0. Calculate u.
-2, 1
Factor -9/2 - 1/2*w**2 + 3*w.
-(w - 3)**2/2
Suppose -21 = -3*s + 5*n, -5*s + 2*n + n = -19. Factor 2*a**3 - 2*a - 3*a**3 + 4*a + a**s.
-a*(a - 2)*(a + 1)
Suppose 3*f = -m + 16, 4*f - f - 2*m = 13. Suppose 0 = -2*s + 4*u - 14, s - f*s + 2*u = -2. Solve 0 + 1/4*b**s + 1/4*b**4 + 0*b - 1/4*b**5 - 1/4*b**2 = 0 for b.
-1, 0, 1
Let k = 51/14 - 22/7. Let w(x) be the first derivative of -k*x**2 + 0*x - 1 + 1/3*x**3. Factor w(z).
z*(z - 1)
Let k(l) be the first derivative of -2*l**3/39 + 2*l/13 - 28. Factor k(a).
-2*(a - 1)*(a + 1)/13
Let j(c) be the third derivative of -5*c**8/56 + c**7/6 + c**6/6 - 7*c**5/12 + 5*c**4/12 - 8*c**2. Determine w, given that j(w) = 0.
-1, 0, 1/2, 2/3, 1
Let k(r) = -4*r - 11. Let o be k(-7). Let z = -15 + o. Factor 2/3*a**z - 2/3 - 2/3*a**3 + 2/3*a.
-2*(a - 1)**2*(a + 1)/3
Find t such that -2/3*t**4 - 8/3*t**3 + 1/3*t**5 + 16/3*t**2 - 32/3 + 16/3*t = 0.
-2, 2
Let v be (-3)/15 - (-29)/145. What is t in -3/4*t**3 + 0*t**2 - 9/4*t**4 + v*t + 0 = 0?
-1/3, 0
Let v(u) be the first derivative of 9*u**5 - 15*u**4/4 - 115*u**3/3 - 65*u**2/2 - 10*u + 1. Solve v(f) = 0.
-1, -1/3, 2
Let q(f) be the second derivative of f**4/4 + 7*f**3/2 + 9*f**2 + 17*f. Factor q(r).
3*(r + 1)*(r + 6)
Let h(z) = z**2 + 5*z. Let y be h(-3). Let l = 10 + y. Let -6*x**3 - 3*x**4 - 2*x + 5*x**4 + 2*x**l - x**5 + x + 4*x**2 = 0. Calculate x.
0, 1
Let n(w) be the third derivative of w**6/480 - w**5/120 - w**4/96 + w**3/12 + 7*w**2. Factor n(f).
(f - 2)*(f - 1)*(f + 1)/4
Let j be (-3)/(-15) + 3/10. Let d(f) be the first derivative of 0*f + f**4 - 1/6*f**3 - j*f**5 - 1/2*f**2 - 2. Factor d(s).
-s*(s - 1)**2*(5*s + 2)/2
Suppose -2*t + 5*z = 6, 3*t + z = -0*z + 8. Suppose 0*a + 11 = -t*w + 5*a, -3*w - 3*a + 15 = 0. Find x, given that -1/2 + 1/4*x**w + 1/4*x = 0.
-2, 1
Let j(r) = 2*r**2 + 5. Let w(a) be the third derivative of a**5/60 + a**3/2 + 3*a**2. Let o(q) = -3*j(q) + 5*w(q). Factor o(g).
-g**2
Let r(u) be the third derivative of -u**8/448 - u**7/140 + u**5/40 + u**4/32 + 11*u**2. Let r(j) = 0. Calculate j.
-1, 0, 1
Let w(r) be the first derivative of 3*r**5/20 - 3*r**4/4 + r**3 + 54. Suppose w(c) = 0. What is c?
0, 2
Factor 3*o - 15*o - 6*o**2 - 29 + 21 - o**3.
-(o + 2)**3
Let c = -22 + 12. Let g(z) = -z**2 + 10*z + 1. Let s(u) be the second derivative of -u**3/3 - u. Let t(f) = c*s(f) - 2*g(f). Suppose t(w) = 0. Calculate w.
-1, 1
Factor 2*x + x - 4*x**2 + 5*x.
-4*x*(x - 2)
Let x be ((-1)/4)/1 - (-2)/8. Let w(h) be the second derivative of -1/4*h**2 + h + 1/20*h**5 - 1/16*h**4 + x - 3/8*h**3. What is m in w(m) = 0?
-1, -1/4, 2
Let q(h) be the first derivative of -h**3/21 + h**2/7 + 13. Solve q(j) = 0.
0, 2
Let -109*z**3 - 32*z + 597*z**3 + 326*z**2 - 278*z**2 - 252*z**4 = 0. What is z?
-2/7, 0, 2/9, 2
Let g = -11 + 13. Factor 39*a**3 + 25*a**g + 0*a**5 - 18*a**4 + 3*a**5 - 61*a**2 + 12*a.
3*a*(a - 2)**2*(a - 1)**2
Let q(l) be the second derivative of l**8/576 - 13*l**7/2520 + l**5/90 - l**4/12 + 4*l. Let j(f) be the third derivative of q(f). Factor j(k).
(k - 1)*(5*k - 2)*(7*k + 2)/3
Let x(c) be the second derivative of -3*c**7/14 + 19*c**6/15 - 7*c**5/4 - 5*c**4/2 + 22*c**3/3 - 4*c**2 + 44*c. Let x(a) = 0. Calculate a.
-1, 2/9, 1, 2
Suppose -2*j = 5*f - 12 - 13, 0 = -5*f - j + 25. Let r(c) = -c**3 + 4*c**2 + 5*c. Let m be r(f). Let 0*s**3 - 2/5*s**4 + 0 + m*s + 2/5*s**2 = 0. Calculate s.
-1, 0, 1
Let r(h) be the second derivative of -h**6/15 + h**5/10 + h**4/2 - h**3/3 - 2*h**2 - 13*h. Factor r(l).
-2*(l - 2)*(l - 1)*(l + 1)**2
Let c(l) = -l + 10. Let w be c(7). Let 5*q**3 + q**3 - 5*q**3 + 2*q**w = 0. What is q?
0
Let l be 264/440*-1*10/(-9). Factor -2/3*a**5 - l*a + 0*a**4 + 0 + 0*a**2 + 4/3*a**3.
-2*a*(a - 1)**2*(a + 1)**2/3
Let n(g) be the first derivative of -2 + 2*g + 2*g**3 - 3*g**2 - 1/2*g**4. Factor n(z).
-2*(z - 1)**3
Let b(v) be the first derivative of -3*v**4/4 + 2*v**3 + 6*v**2 - 24*v - 25. Factor b(y).
-3*(y - 2)**2*(y + 2)
Suppose 3*s - 17 + 2 = 0. Solve 1/4*t**3 + 0*t + 1/2*t**4 + 0 + 0*t**2 + 1/4*t**s = 0 for t.
-1, 0
Let d(g) be the third derivative of -g**9/6048 - g**8/1680 + g**6/360 + g**5/240 + g**3/2 + 3*g**2. Let n(m) be the first derivative of d(m). Factor n(c).
-c*(c - 1)*(c + 1)**3/2
Let y(g) be the first derivative of g**7/35 - g**6/75 - 2*g**5/75 - 3*g**2/2 + 4. Let l(t) be the second derivative of y(t). Let l(z) = 0. Calculate z.
-2/5, 0, 2/3
Let x(j) be the third derivative of j**8/10080 - j**7/1260 + j**6/360 - j**5/60 - 3*j**2. Let o(d) be the third derivative of x(d). Factor o(u).
2*(u - 1)**2
Let h(o) be the first derivative of o**6/40 + o**5/5 + 5*o**4/8 + o**3 - 2*o**2 + 2. Let s(b) be the second derivative of h(b). Factor s(p).
3*(p + 1)**2*(p + 2)
Let o(q) = 28*q**2 + 28*q + 20. Let i(w) = -4*w**2 - 4*w - 3. Let y(g) = 20*i(g) + 3*o(g). Let y(c) = 0. Calculate c.
-1, 0
Let h(p) be the second derivative of p**8/720 - p**7/1260 - 7*p**6/1080 + p**5/180 + 2*p**3/3 + 2*p. Let c(a) be the second derivative of h(a). Factor c(u).
u*(u - 1)*(u + 1)*(7*u - 2)/3
Let k(p) be the second derivative of -p**5/80 - p**4/48 + p**3/24 + p**2/8 + 32*p. Factor k(c).
-(c - 1)*(c + 1)**2/4
Let i(g) be the second derivative of 0 + g**2 + 1/6*g**3 - 1/20*g**5 + 5*g - 1/6*g**4. Find b such that i(b) = 0.
-2, -1, 1
Let c(r) = -4*r**5 - 3*r**4 + 3*r**2 + 3*r - 3. Let k(n) = -4*n**2 - 3*n - n + 4*n**4 + 2 + 5*n**5 + 2. Let o(m) = 4*c(m) + 3*k(m). Factor o(v).
-v**5
Let o(m) be the second derivative of m**8/840 - m**7/210 - m**6/180 + m**5/30 - m**3 + 4*m. Let h(y) be the second derivative of o(y). Solve h(j) = 0 for j.
-1, 0, 1, 2
Let l(u) = -2*u**3 + 9*u**2 - 3*u - 4. Let g be l(4). Let q(j) be the third derivative of j**2 - 1/18*j**3 + 1/36*j**4 + g*j - 1/180*j**5 + 0. Factor q(x).
-(x - 1)**2/3
Factor -3/4*f**3 + 3/2 - 15/4*f + 3*f**2.
-3*(f - 2)*(f - 1)**2/4
Suppose 5*g + 9 = -3*r, -3*g = 2*r - 3*r - 3. Let h(z) be the second derivative of g + 0*z**3 + 0*z**2 + 1/54*z**4 - z. Factor h(l).
2*l**2/9
Factor 0 + 9/5*z**3 + 0*z**2 + 0*z + 12/5*z**4.
3*z**3*(4*z + 3)/5
Let t(i) be the second derivative of 25*i**4/12 - 5*i**3/2 - 5*i**2 + 2*i. Factor t(c).
5*(c - 1)*(5*c + 2)
Let c = 4 + -2. Let p(m) = -3*m - 1. Let k be p(-1). Solve -4*x - 4 - x + 3*x + k*x**c = 0 for x.
-1, 2
Factor 1/5*l**3 - l**2 - 4/5 + 8/5*l.
(l - 2)**2*(l - 1)/5
Factor -20*p**3 - 5 + 15*p + 5*p**5 - 1 - 4 + 4*p**2 + 6*p**2.
5*(p - 1)**3*(p + 1)*(p + 2)
Let k = 7 + -9. Let f be 1*(-3)/18*k. What is b in -1/3*b - 1/3*b**2 + f*b**3 + 1/3 = 0?
-1, 1
Let u(s) be the second derivative of -s**5/20 + s**3/2 + s**2 + 17*s. Factor u(z).
-(z - 2)*(z + 1)**2
Let r(w) = -w**3 - 2*w**2 + w. Let z be r(-2). Let s = 4 + z. Find t such that 6*t + 0*t**2 - s*t**2 - 8*t = 0.
-1, 0
Let j(c) be the first derivative of 2*c**5/5 - 4*c**4/5 + 2*c**3/15 + 2*c**2/5 + 7. Determine t, given that j(t) = 0.
-2/5, 0, 1
Let b(i) be the first derivative of i**4/4 + 2*i**3 + 5*i**2/2 + 29. Determine h so that b(h) = 0.
-5, -1, 0
Let r be 0*(-1 - 1)/(-6). Factor 2/3*y**4 + 0*y**2 + r*y**3 + 0*y + 0 - 2/3*y**5.
-2*y**4*(y - 1)/3
Let z(o) be the first derivative of 0*o**4 + 0*o**3 + 1 - o**2 - 1/300*o**5 + 0*o. Let n(m) be the second derivative of z(m). Find c, given that n(c) = 0.
0
Suppose 2 + 1/2*z**2 - 2*z = 0. Calculate z.
2
Let a = -32 + 10753/336. Let p(m) be the third derivative of 0*m**4 + 2/105*m**7 - 1/24*m**6 + 1/30*m**5 + 0 - 2*m**2 + 0*m**3 + 0*m - a*m**8. Factor p(f).
-f**2*(f - 2)*(f - 1)**2
Suppose 2*q + 22 = 3*z, 0 = -0*z - z + 5*q + 29. Suppose z*p - v = 31, -5*p + 4*v + 10 = -26. What is x in -p + 35*x + 2*x**2 - 16*x**2 - 3*x = 0?
2/7, 2
Let 