) be the third derivative of w**8/13440 - w**4/8 - 3*w**2. Let g(n) be the second derivative of l(n). Factor g(o).
o**3/2
Let v(t) be the third derivative of -1/210*t**7 + 0*t**3 + 0*t**4 + t**2 + 0 + 0*t**6 + 0*t + 1/60*t**5. Factor v(h).
-h**2*(h - 1)*(h + 1)
Let t(f) be the second derivative of -2*f**6/3 - 7*f**5 - 305*f**4/12 - 35*f**3 - 45*f**2/2 - 27*f. Let t(d) = 0. Calculate d.
-3, -1/2
Let u(d) = -d**2 - 17*d + 5. Let b be u(-17). Let m = 5 - 3. Factor -4*r**4 + 2*r**m - 2*r - 4*r**3 + 7*r - 3*r**b + 2 + 2*r**5.
-(r - 1)*(r + 1)**3*(r + 2)
Let -1/3*n**5 + 0 - 1/3*n**3 + 2/3*n - n**2 + n**4 = 0. What is n?
-1, 0, 1, 2
Let z(d) be the second derivative of 1/12*d**4 + 0*d**3 + 0*d**2 + 1/20*d**5 + 2*d + 0. Factor z(k).
k**2*(k + 1)
Factor -15/4*o**3 - 1/2*o - 3/4*o**5 - 11/4*o**4 - 9/4*o**2 + 0.
-o*(o + 1)**3*(3*o + 2)/4
Suppose 12 = -h + 30. Let b be (-12)/h*(-2)/6. Determine y, given that -2/9*y**2 + 4/9*y**3 - b*y**4 + 0 + 0*y = 0.
0, 1
Suppose -p + 4*z - 15 = 0, -3*p - 2*z = 33 + 12. Let a be (-3)/p - 6/(-10). Solve -2/5*h**3 + 0*h + 0*h**2 - a*h**4 + 0 - 2/5*h**5 = 0 for h.
-1, 0
Let h(n) be the third derivative of 0 + 0*n**3 + 0*n**5 + 2/105*n**7 + 1/60*n**6 + 0*n + 0*n**4 + 4*n**2 + 1/168*n**8. Determine q, given that h(q) = 0.
-1, 0
Let y(f) be the second derivative of 2*f**7/21 - 2*f**6/15 - f**5 + 5*f**4/3 + 8*f**3/3 - 8*f**2 + 18*f. Solve y(b) = 0.
-2, -1, 1, 2
Let q(k) be the third derivative of -2*k**2 - 1/15*k**5 + 0*k**3 - 1/60*k**6 + 0*k**4 + 1/105*k**7 + 0*k + 0. Factor q(m).
2*m**2*(m - 2)*(m + 1)
Let q(a) be the second derivative of 0 + 1/3*a**3 + 5*a - 1/12*a**4 + 0*a**2. Factor q(z).
-z*(z - 2)
Factor -3/7*k**4 - 3/7*k**3 + 0 + 3/7*k + 3/7*k**2.
-3*k*(k - 1)*(k + 1)**2/7
Let u = -8 + 7. Let o(d) = -10*d**4 + 13*d**3 + d**2 + d. Let v(q) = -q**4 + q**2 + q. Let w(x) = u*o(x) + 5*v(x). Suppose w(i) = 0. What is i?
-2/5, 0, 1, 2
Let g be (-2)/8 + 18/8. Let u(f) be the first derivative of -3 - 1/2*f - 1/12*f**3 + 3/8*f**g. Find h, given that u(h) = 0.
1, 2
Suppose -4*x = 4*n, 2*x - x + 2 = -2*n. Factor 2*o + 4*o**x - 2*o**3 + 8*o**3 + 2*o**2 + 2*o**4.
2*o*(o + 1)**3
Let n(h) = -4*h**4 - 6*h**3 - 4*h**2 - 4*h + 4. Let f(i) = 4*i**4 + 7*i**3 + 4*i**2 + 3*i - 3. Let c(y) = -4*f(y) - 3*n(y). Factor c(t).
-2*t**2*(t + 2)*(2*t + 1)
Let z(h) be the first derivative of -5*h**4/8 - h**3/2 + h**2/2 - 19. Factor z(r).
-r*(r + 1)*(5*r - 2)/2
Let x be (-28)/30 - 20/(-15). Let o = 4/49 + 78/245. Factor 0 - x*r**2 + o*r.
-2*r*(r - 1)/5
Let o(l) be the third derivative of -l**8/30240 - l**7/3780 - l**5/20 - l**2. Let g(n) be the third derivative of o(n). What is y in g(y) = 0?
-2, 0
Let a = -5 - -2. Let j = 5 + a. Let 2*x**j + x**3 + 2*x - 3*x**3 + 0*x**3 - 2 = 0. What is x?
-1, 1
Let g - 1/4*g**3 + 1 - 1/4*g**2 = 0. What is g?
-2, -1, 2
Let z(w) be the third derivative of -w**5/120 - w**4/48 + w**3/6 + 6*w**2. Suppose z(s) = 0. What is s?
-2, 1
Let y(m) be the third derivative of -m**5/10 - 2*m**4/3 + m**3 - 13*m**2. Factor y(v).
-2*(v + 3)*(3*v - 1)
Let l(h) be the third derivative of -h**5/480 - 5*h**4/192 - h**3/12 + 11*h**2 + 3. Suppose l(v) = 0. What is v?
-4, -1
Let j(s) = -4*s - 28. Let w be j(-8). Suppose 0*l + 5*r = -w*l + 15, 0 = -5*l + 4*r - 12. Determine m so that -3/5*m**3 + l*m**2 + 3/5*m + 0 = 0.
-1, 0, 1
Let i(s) be the second derivative of s**7/3780 + s**6/270 + s**5/45 - s**4/4 + 2*s. Let m(l) be the third derivative of i(l). Factor m(v).
2*(v + 2)**2/3
Let y(x) be the second derivative of x**8/5040 - x**7/840 + x**6/360 - x**5/360 + x**3/3 + 2*x. Let p(m) be the second derivative of y(m). Factor p(v).
v*(v - 1)**3/3
Let t = -5 - -13. Suppose -t = -5*p - 4*r - 4, -4*r = -4*p - 4. Suppose 2/7*x**3 + p*x**2 - 6/7*x + 4/7 = 0. Calculate x.
-2, 1
Factor 0 + 3*s + 3/2*s**4 - 9/2*s**2 + 0*s**3.
3*s*(s - 1)**2*(s + 2)/2
Let d(t) be the third derivative of 3*t**6/100 - 8*t**5/25 - 7*t**4/12 - 2*t**3/5 - 4*t**2 - 4. Factor d(u).
2*(u - 6)*(3*u + 1)**2/5
Factor 0 - 1/2*c**4 - 1/2*c + 1/2*c**2 + 1/2*c**3.
-c*(c - 1)**2*(c + 1)/2
Let j(d) be the first derivative of d**8/2520 - d**6/270 + d**4/36 + d**3 + 4. Let c(y) be the third derivative of j(y). What is g in c(g) = 0?
-1, 1
Let x(m) = m**2 - 6*m - 27. Let s be x(9). Let -70/9*j**3 - 50/3*j**4 + 16/9*j**2 + s + 8/9*j = 0. What is j?
-2/5, 0, 1/3
Let i be (-2)/6*-1*21. Let p = i - 3. What is k in -2 - 6*k - 2*k**2 - p*k**2 + 0*k**2 - 2*k**3 = 0?
-1
Let j(g) = g**2 + 2*g - 1. Let b(c) = c - 4. Let o be b(5). Let h be j(o). Determine y so that 1/2*y + 0 + 1/2*y**h = 0.
-1, 0
Let y(i) be the first derivative of i**6/18 - i**5/5 + i**4/4 - i**3/9 + 9. Factor y(l).
l**2*(l - 1)**3/3
Find o, given that -2/17*o**2 + 8/17*o + 0 + 2/17*o**4 - 8/17*o**3 = 0.
-1, 0, 1, 4
Let i = -1 - -3. Factor -88*g - 133*g**2 - 8 - 127*g**i + 18*g**2.
-2*(11*g + 2)**2
Factor 0 + 4/5*a**4 + 4/5*a**2 - 6/5*a**3 - 1/5*a**5 - 1/5*a.
-a*(a - 1)**4/5
Let d(s) = s**3 + 12*s**2 + 27*s + 2. Let a be d(-9). Factor -2/3*z**a - 8/3 - 8/3*z.
-2*(z + 2)**2/3
Let n(k) = 5*k**2 + 2*k - 6. Let w(z) = -14*z**2 - 6*z + 17. Let o(j) = -17*n(j) - 6*w(j). Suppose o(h) = 0. Calculate h.
0, 2
Let a(j) be the first derivative of 4/3*j + 1 + 1/2*j**4 - 8/9*j**3 - 1/3*j**2. Factor a(l).
2*(l - 1)**2*(3*l + 2)/3
Suppose 8*t + 8*t - 48 = 0. Factor -g + 1/3*g**t + 0*g**2 + 2/3.
(g - 1)**2*(g + 2)/3
Let q(a) be the second derivative of -a**6/1620 + a**4/108 - a**3/2 + 2*a. Let g(n) be the second derivative of q(n). Factor g(f).
-2*(f - 1)*(f + 1)/9
Let i = 50 + -80. Let s be i/(-22)*1 - 1. Factor -2/11*y**2 + 0 + s*y.
-2*y*(y - 2)/11
Let v(i) be the second derivative of 1/5*i**5 + 0*i**2 - 1/15*i**6 + 0 + 4*i + 1/6*i**4 - 2/3*i**3. Suppose v(a) = 0. What is a?
-1, 0, 1, 2
Factor 2135*d - 8*d**3 - 3*d**5 - 2135*d - 9*d**4 + 2*d**3.
-3*d**3*(d + 1)*(d + 2)
Suppose 4*o - 17 = -3*i, -22 = 2*o - 3*i - 17. Factor 1/2*v**o - v + 0.
v*(v - 2)/2
Let q be 4/(-18) - (-184)/18. Let f be (-4)/q - (-8)/10. Let -f - 4/5*r - 2/5*r**2 = 0. Calculate r.
-1
Let j(q) = 29*q**3 - 20*q**2 - 55*q - 6. Let z(i) = 405*i**3 - 280*i**2 - 770*i - 85. Let x(b) = -55*j(b) + 4*z(b). Let x(v) = 0. What is v?
-1, -1/5, 2
Let l be 22/55 - (-8)/5. Let y(p) be the first derivative of -4/3*p**l + 1 + 8/3*p + 2/9*p**3. Factor y(k).
2*(k - 2)**2/3
Let y(u) be the second derivative of 0 - 5*u - 1/24*u**4 + 0*u**2 - 1/6*u**3. Determine h so that y(h) = 0.
-2, 0
Let u(s) be the first derivative of s**6/120 - s**5/30 + 3*s**2/2 - 3. Let q(x) be the second derivative of u(x). Determine d, given that q(d) = 0.
0, 2
Find h, given that 0 - 3/2*h**3 - 1/2*h**4 - 3/2*h**2 - 1/2*h = 0.
-1, 0
Suppose 2*p = -2*k - 38, k + 8 = 3*p + 1. Let i be -4*6/k*2. Determine o, given that -3*o**i + 3*o**2 + 3*o**4 + 3*o**4 - 5*o**4 - o = 0.
0, 1
Let f(v) = -5*v**4 + 90*v**3 - 35*v**2 - 120*v. Let z(i) = -i**4 + 15*i**3 - 6*i**2 - 20*i. Let d(l) = -6*f(l) + 35*z(l). Factor d(b).
-5*b*(b - 1)*(b + 2)**2
Let s(p) be the second derivative of 2*p**7/21 + 2*p**6/15 - 3*p**5/5 - p**4/3 + 4*p**3/3 - 2*p - 2. Find q, given that s(q) = 0.
-2, -1, 0, 1
Let r(m) = -m - 7. Let z be (8 - 3)/(2/(-4)). Let w be r(z). Let 0*t + 6*t + t**w - 6*t = 0. What is t?
0
Let y = -1173 - -4693/4. Determine w, given that 0*w - 1/2*w**2 + 1/4 + y*w**4 + 0*w**3 = 0.
-1, 1
Let f be 16/4*(-3)/(-6). Factor 0*t + 2/5 - 2/5*t**f.
-2*(t - 1)*(t + 1)/5
Let z(u) be the second derivative of -3*u**5/20 + 3*u**3/2 + 3*u**2 + 4*u. Factor z(r).
-3*(r - 2)*(r + 1)**2
Let q(c) be the second derivative of 1/6*c**4 + 2*c + 1/20*c**5 + 0 + 0*c**2 + 1/6*c**3. Factor q(p).
p*(p + 1)**2
Factor -15*z**2 - 66*z + 13*z - 21*z + 8*z - 24.
-3*(z + 4)*(5*z + 2)
Suppose 0 = -0*i + 4*i. Let t(s) be the third derivative of i + 0*s + 1/60*s**5 - 1/12*s**4 + s**2 + 1/6*s**3. Determine u so that t(u) = 0.
1
Factor -3*c**5 - 3*c**4 + c**2 + 2*c**2 + 6*c**5 - 3*c**3.
3*c**2*(c - 1)**2*(c + 1)
Let 0 + 108/5*p**2 + 21/5*p**4 + 24/5*p + 18*p**3 = 0. Calculate p.
-2, -2/7, 0
Let r(c) be the third derivative of c**6/780 - c**5/130 - c**4/156 + c**3/13 + 22*c**2 + 2*c. Let r(q) = 0. What is q?
-1, 1, 3
Let n(x) = 2*x**4 + 3*x**3 - 3*x**2 - 2*x + 3. Let d(i) = -5*i**4 - 9*i**3 + 9*i**2 + 5*i - 8. Let l(v) = 3*d(v) + 8*n(v). Factor l(q).
q*(q - 1)**3
Let o = -54 -