*k(v). Factor j(l).
-3*l*(l - 2)**2*(l - 1)
Let j(w) be the first derivative of 5*w**6/24 - 37*w**5/20 + 13*w**4/2 - 34*w**3/3 + 10*w**2 - 4*w - 6. Factor j(o).
(o - 2)**3*(o - 1)*(5*o - 2)/4
Let x(z) = 4*z**4 - 6*z**3 + 2*z + 2. Let t(u) = -5*u**4 + 7*u**3 + u**2 - 3*u - 3. Let q(r) = 2*t(r) + 3*x(r). Factor q(p).
2*p**2*(p - 1)**2
Suppose -11 = -y - 8. Solve 6/5*f**2 + 1/5*f**y + 12/5*f + 8/5 = 0.
-2
Let k = -15 - -10. Let r = 7 + k. Factor -3*j**2 + 0*j**2 - 3*j**2 + 6*j**3 + r*j - 2*j**4.
-2*j*(j - 1)**3
Let o(s) be the second derivative of -2*s**6/15 + 3*s**5/5 - 2*s**4/3 + 21*s. Determine t, given that o(t) = 0.
0, 1, 2
Let u = 14150/6209 - -6/887. Factor 0 + 60/7*x**4 + 0*x - u*x**2 + 48/7*x**3 + 16/7*x**5.
4*x**2*(x + 2)**2*(4*x - 1)/7
Let j be 2883/720 + 3/(-3) + -3. Let d(q) be the third derivative of -1/120*q**5 + 0 + 0*q**3 - 3*q**2 + 0*q + 0*q**4 + j*q**6. Solve d(m) = 0 for m.
0, 1
Let d(z) be the third derivative of 2*z**2 - 1/21*z**3 + 0 - 1/735*z**7 + 1/1176*z**8 + 1/84*z**4 + 1/105*z**5 + 0*z - 1/210*z**6. Factor d(x).
2*(x - 1)**3*(x + 1)**2/7
Let t(i) = 2*i**2 - 2*i. Let g be t(2). Suppose 0 = -0*l - 5*l + 4*h - 8, -5*l - 3*h + 6 = 0. Determine z so that l - 3/2*z + 3*z**g + 9/2*z**3 + 0*z**2 = 0.
-1, 0, 1/2
Suppose 0*s = 3*s. Let t be 1*((-8)/(-20) + s). Find b, given that 2/5*b - t*b**3 + 0 + 0*b**2 = 0.
-1, 0, 1
Let t = 9 - 9. Let r(s) be the third derivative of 0 + t*s**5 + 0*s**4 + 0*s**3 - s**2 + 0*s - 1/84*s**8 - 1/120*s**6 + 2/105*s**7. Find g such that r(g) = 0.
0, 1/2
Let m(c) = -c**2 + 7*c - 7. Let o be m(5). Suppose 0*s + 4*s - 8 = 0. Suppose 2/5*t**5 + 8/5*t**o + 8/5*t**4 + 0*t + 0 + 0*t**s = 0. Calculate t.
-2, 0
Suppose 5*w - 4 = w - 4*z, w = 3*z + 5. Factor 1/4*t**w + 0*t - 1/4*t**3 + 0.
-t**2*(t - 1)/4
Let t(g) be the second derivative of 2*g**7/105 - g**6/10 + g**5/5 - g**4/6 - 3*g**2/2 - 2*g. Let q(l) be the first derivative of t(l). Let q(v) = 0. What is v?
0, 1
Let f(j) be the third derivative of 1/9*j**3 - 1/18*j**4 - 2*j**2 + 1/90*j**5 + 0 + 0*j. Find g, given that f(g) = 0.
1
Let w(k) = k + 14. Let a be w(-11). Let q(h) = -h**2 - h - 1. Let z(p) = 2*p**2 + p + 2. Let t(x) = a*z(x) + 5*q(x). Find c such that t(c) = 0.
1
Let v(i) be the first derivative of 1/2*i**2 + 0*i + 2 - 1/84*i**4 - 1/420*i**6 + 1/105*i**5 + 0*i**3. Let q(d) be the second derivative of v(d). Factor q(n).
-2*n*(n - 1)**2/7
What is g in -7/5*g - 2/5 - 9/5*g**2 - 1/5*g**4 - g**3 = 0?
-2, -1
Suppose 4*d - 3*n + 23 = -172, -4*d + 2*n - 194 = 0. Let x be (2/(-4))/(16/d). Factor x*j**3 + 3/2*j**4 + 0 + 0*j + 0*j**2.
3*j**3*(j + 1)/2
Let a(p) be the first derivative of p**6/24 + 52. Factor a(b).
b**5/4
Suppose -3*u + 4*c = -27, u - 3*c = 4*u - 6. Suppose -u*r + 16 = 3*f, f = -3*r - 3 + 11. Let 0 + 0*s - 2/3*s**f = 0. Calculate s.
0
Let n(h) be the first derivative of h**6/33 - 4*h**5/55 - h**4/22 + 4*h**3/33 - 26. Suppose n(f) = 0. What is f?
-1, 0, 1, 2
Let m(h) be the second derivative of -3*h**5/20 - h**4/4 + h**3 - 2*h. Solve m(y) = 0.
-2, 0, 1
Let v(u) = -u**3 + 10*u**2 - 9*u + 4. Let y be v(9). Solve 27*d**5 + 72*d**y + 6*d**2 + 21*d**5 - 45*d**3 + 0*d**2 = 0 for d.
-2, 0, 1/4
Suppose 4*k - 9*k + 20 = 0. Factor 1/2*q**k + 0*q**2 + 0*q + 1/2*q**3 + 0.
q**3*(q + 1)/2
Let x be ((-4)/10)/((-4)/20). Let r(u) = u**2 - 4*u - 8. Let y be r(6). Factor v**2 + 2*v**y + 2*v**2 - 5*v**x.
2*v**2*(v - 1)*(v + 1)
Let l(z) = z**4 + z**3 - z + 1. Let v = 77 + -27. Suppose -v = -6*a + a. Let g(c) = 8*c**4 + 8*c**3 - 10*c + 10. Let d(t) = a*l(t) - g(t). Factor d(k).
2*k**3*(k + 1)
Let v be (-1)/(-3) - 5/15. Let k(j) be the first derivative of j**4 + 0*j**3 - 2 + 0*j**2 - 7/3*j**6 - 2*j**5 + v*j. Factor k(g).
-2*g**3*(g + 1)*(7*g - 2)
Let o(q) be the first derivative of -q**6/540 - q**5/360 + q**4/72 - q**3 - 2. Let i(v) be the third derivative of o(v). Let i(l) = 0. Calculate l.
-1, 1/2
Let 0*t + 6/5*t**4 + 0 + 2/5*t**2 + 6/5*t**3 + 2/5*t**5 = 0. What is t?
-1, 0
Let 2*d**4 - 9*d**3 - 13*d**2 + 3*d**4 + 7*d**2 - 8*d**4 = 0. What is d?
-2, -1, 0
Factor 1/4*x**5 + 3/4*x**3 + 0*x - 3/4*x**4 + 0 - 1/4*x**2.
x**2*(x - 1)**3/4
Let t(c) = -389*c**3 + 315*c**2 + 168*c - 139. Let v(u) = -195*u**3 + 157*u**2 + 84*u - 69. Let h(n) = 3*t(n) - 5*v(n). Solve h(o) = 0.
-2/3, 3/4
Let u be 0/(-7) - 2/(-15). Let m(l) be the second derivative of 1/60*l**4 - l + 2/5*l**2 + 0 + u*l**3. Factor m(b).
(b + 2)**2/5
Let c(m) be the third derivative of -m**9/7560 + m**7/420 + m**6/180 - m**4/4 + 4*m**2. Let t(u) be the second derivative of c(u). Factor t(o).
-2*o*(o - 2)*(o + 1)**2
Let g(j) = j**3 - j - 3. Let x be g(2). Let w(q) be the first derivative of -2 + 3/10*q**4 + 2/3*q**x + 2/5*q**2 + 0*q. Suppose w(p) = 0. What is p?
-1, -2/3, 0
Let z(f) be the first derivative of 3*f**4/14 - 10*f**3/7 + 18*f**2/7 - 33. Determine p, given that z(p) = 0.
0, 2, 3
Let o be (2/(-3))/(4/(-6)). Suppose -x**3 + x - 1 + 1 + o - x**2 = 0. Calculate x.
-1, 1
Determine y so that -3*y - 4*y**2 - 2*y + 3*y**2 + 2*y - 2 = 0.
-2, -1
Let c(f) be the second derivative of -f**7/14 + 3*f**6/10 + 3*f**5/20 - 7*f**4/4 + 6*f**2 - 4*f. Solve c(j) = 0 for j.
-1, 1, 2
Let q(u) be the first derivative of -3*u**4/4 - 3*u**3 + 3*u**2/2 + 9*u - 12. What is t in q(t) = 0?
-3, -1, 1
Suppose 4*d = -0 + 12. Let n(f) be the first derivative of 0*f + f**2 + 2/3*f**d + 1. Factor n(z).
2*z*(z + 1)
Let h(o) be the second derivative of -o**7/280 - o**6/30 - o**5/10 + 5*o**3/6 + 4*o. Let n(j) be the second derivative of h(j). Factor n(k).
-3*k*(k + 2)**2
Let d be (-4)/(-7) - ((-70)/49 + 2). Suppose 1/4*p**4 + 1/4 - 1/2*p**2 + d*p + 0*p**3 = 0. Calculate p.
-1, 1
Let r(l) be the first derivative of l**5/10 - l**4/8 - l**3/6 + l**2/4 + 4. Factor r(k).
k*(k - 1)**2*(k + 1)/2
Find y, given that -15*y**4 + 2586*y + 45*y**2 - 20 - 10*y**3 - 2586*y = 0.
-2, -2/3, 1
Suppose s = 4 - 0. Let y(i) = i**4 + 3*i**3 - i**2 + 5*i - 4. Let r(b) = -b**4 - 2*b**3 + b**2 - 4*b + 3. Let v(c) = s*r(c) + 3*y(c). Factor v(w).
-w*(w - 1)**2*(w + 1)
Let o = 4 - 1. Factor 0 + 3 + 3*i**2 - 4 + 3*i - 2 - 3*i**o.
-3*(i - 1)**2*(i + 1)
Let a(w) = -4*w**2 + 34*w - 14. Let z be a(8). Factor 0 - 2/5*h**z - 6/5*h.
-2*h*(h + 3)/5
Let r be (-9)/(-54) - (-7)/12. Factor -5/4*a + 1/2 - r*a**2.
-(a + 2)*(3*a - 1)/4
What is v in 2/9*v**2 - 2/9 + 0*v = 0?
-1, 1
Let j(c) = -c**2 - c + 2. Let v be j(7). Let x = v + 380/7. Factor 4/7*k**2 - 2/7*k**3 + 0 - x*k.
-2*k*(k - 1)**2/7
Factor -8*b**2 - 2*b - 7/2*b**3 + 0.
-b*(b + 2)*(7*b + 2)/2
Let t(m) = -3 + m + m**2 + 8 + 4*m. Let g be (10/(-3))/((-6)/9). Let q(s) = s**2 + 4*s + 4. Let w(f) = g*q(f) - 4*t(f). Solve w(b) = 0.
0
Factor 2/11 + 0*v - 2/11*v**2.
-2*(v - 1)*(v + 1)/11
Let r(s) be the third derivative of 11*s**6/1020 + 4*s**5/85 + 5*s**4/68 + 2*s**3/51 - 14*s**2. Factor r(f).
2*(f + 1)**2*(11*f + 2)/17
Let l be (-6 + 4 - -7)*(-6)/(-15). Let x(w) be the first derivative of -w**l + w + 1/3*w**3 - 3. Factor x(v).
(v - 1)**2
Let a(o) be the first derivative of 1/2*o**2 - 3 - 1/5*o**5 - 1/4*o**4 + 0*o + 1/3*o**3. Find k such that a(k) = 0.
-1, 0, 1
Factor 11 + 7*o + 5*o - 2*o**2 + 7 - 4.
-2*(o - 7)*(o + 1)
Let t(n) = n**3 - n**2 - n. Let h be ((-4)/20 + 1)*-5. Let f(p) = -p**2 - p. Let u(c) = h*f(c) + 4*t(c). Determine b, given that u(b) = 0.
0
Let q(a) be the third derivative of 0*a**3 + 1/40*a**4 + 4*a**2 + 0 + 0*a - 1/100*a**5. Factor q(r).
-3*r*(r - 1)/5
Let g(a) = -15*a**4 + 7*a**3 + 45*a**2 - 23*a - 7. Let t(q) = -5*q**4 + 2*q**3 + 15*q**2 - 8*q - 2. Let b(z) = 2*g(z) - 7*t(z). What is i in b(i) = 0?
-2, 0, 1
Let -8 + 9*m - 10*m**2 - 6*m**2 - 2*m + 13*m + 4*m**3 = 0. What is m?
1, 2
Let z(v) = -v**4 - v**3 + 3*v. Let r(b) = -b**4 - b**3 + 4*b. Let y(c) = 3*r(c) - 4*z(c). Factor y(t).
t**3*(t + 1)
Let z(p) be the first derivative of -3/14*p**2 + 2/7*p + 1/28*p**4 + 2 + 0*p**3. Factor z(u).
(u - 1)**2*(u + 2)/7
Let k(t) be the second derivative of -t**7/70 + t**6/25 - t**4/10 + t**3/10 - 5*t. Determine i so that k(i) = 0.
-1, 0, 1
Let p = -23 - -3. Let x = p + 24. Suppose 4/7*a + 2/7*a**5 + 0 + 2*a**2 + 18/7*a**3 + 10/7*a**x = 0. What is a?
-2, -1, 0
Let c(n) be the second derivative of -n**6/120 - n**5/60 + n**4/24 + n**3/6 + 2*n**2 + n. Let b(f) be the first derivative of c(f). Solve b(d) = 0 for d.
-1, 1
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