ative of -2/35*o**5 - o - 1/14*o**4 + 0 + 0*o**2 + 1/21*o**3. What is k in i(k) = 0?
-1, 0, 1/4
Let g(b) be the first derivative of -3*b**4/14 + 2*b**3/21 + 2*b**2/7 + 2. Factor g(t).
-2*t*(t - 1)*(3*t + 2)/7
Suppose -3 = 4*q - k, -5*q + 0*k - 4*k - 30 = 0. Let d be q/(-2)*2/5. Let -2/5 - 2*r**4 - 4*r**2 + 2*r + 4*r**3 + d*r**5 = 0. Calculate r.
1
Let m = 73 + -215/3. Determine f so that -2/3*f**3 - m*f**4 - 2/3*f**5 + 0*f**2 + 0*f + 0 = 0.
-1, 0
Determine c, given that 16/13*c + 2/13*c**2 + 32/13 = 0.
-4
Suppose 2*s + 2*i = -3*i + 11, -5*i = 4*s - 17. Suppose 0*w**s - 4*w**2 + 2*w**3 - 4*w + 2*w**3 + 4 + 0*w = 0. Calculate w.
-1, 1
Let k(x) be the first derivative of 1/8*x**4 + 3/4*x**2 - 2 + 1/2*x**3 + 1/2*x. Let k(d) = 0. What is d?
-1
Let d(q) be the first derivative of 3 + 54*q + 6*q**3 - 1/2*q**4 - 27*q**2. Factor d(c).
-2*(c - 3)**3
Let v be 1/(-3)*-12 + -4. Let l(z) be the third derivative of 0*z**4 - 1/90*z**6 + v*z + 1/90*z**5 + 0*z**3 + 1/315*z**7 + 0 - 4*z**2. What is k in l(k) = 0?
0, 1
Let b be (20/28)/(1/7). Determine a so that -1/5*a - 1/5*a**4 - 1/5 + 2/5*a**2 + 2/5*a**3 - 1/5*a**b = 0.
-1, 1
Let x be 23 + -14 + 28/(-4). Factor 1/8*u**3 + 3/8*u**x - 1/8*u**4 - 1/4 - 1/8*u.
-(u - 2)*(u - 1)*(u + 1)**2/8
Let v = -9 - -11. Let n = -25 - -80/3. Factor -1/3 - 1/3*z**5 - 5/3*z - 10/3*z**3 - 10/3*z**v - n*z**4.
-(z + 1)**5/3
Let g = -64/5 - -96/5. Determine x so that -512/5*x - 512/5*x**2 - 2/5*x**5 + 0 - g*x**4 - 192/5*x**3 = 0.
-4, 0
Let m(w) be the first derivative of -w**9/3024 + w**7/840 + 2*w**3 + 6. Let j(g) be the third derivative of m(g). Factor j(c).
-c**3*(c - 1)*(c + 1)
Factor 5*c**4 - 23*c + 30*c**2 + 4 + 1 + 3*c - 20*c**3.
5*(c - 1)**4
Let y be (-1*1)/((-3)/(-27)). Let t(x) = -x - 6. Let v be t(y). Factor -2*w + 2*w**3 + w**2 - 4*w**3 + v*w**2.
-2*w*(w - 1)**2
Let k be (-1)/12*10 - -4. Suppose k*o**3 + 1/6*o**5 - 7/6*o**4 - 25/6*o**2 - 2/3 + 8/3*o = 0. What is o?
1, 2
Determine c, given that 38/9*c**3 - 8/9*c + 0 + 22/9*c**2 + 8/9*c**4 = 0.
-4, -1, 0, 1/4
Let d = -12 + 13. Let s be 1/(-3) + 1/d. Find z, given that 2/3*z + s*z**2 - 2/3*z**3 - 2/3*z**4 + 0 = 0.
-1, 0, 1
Suppose -12 = -6*c - 0. Suppose -c*r - 8 = -4*r. Factor -1/2*x**3 - 2*x**2 + 1/4*x**5 - 1/2 - 7/4*x + 1/2*x**r.
(x - 2)*(x + 1)**4/4
Solve -28*c**4 - 8 - 48*c**2 - 33*c**2 + 92*c**3 - 27*c**2 + 52*c = 0 for c.
2/7, 1
Let p(n) = n**3 - 3*n**2 + 7*n - 1. Let d(l) = 9*l**3 - 25*l**2 + 57*l - 7. Let y(x) = -6*d(x) + 51*p(x). Solve y(u) = 0 for u.
-3, 1
Let a(y) be the first derivative of -2*y**6/5 + 2*y**5/5 + 9*y**4/10 - 14*y**3/15 - 3*y**2/5 + 4*y/5 - 12. Suppose a(k) = 0. Calculate k.
-1, -2/3, 1/2, 1
Let a(o) = 20*o**4 - 17*o**3 - 3*o**2 - 17*o. Let u(s) = -7*s**4 + 6*s**3 + s**2 + 6*s. Let k(r) = -6*a(r) - 17*u(r). Suppose k(z) = 0. What is z?
-1, 0, 1
Let j be (5/(-3))/(3/(-9)). Factor -2*k**5 + 3*k**5 + 3*k**5 - j*k**5.
-k**5
Let t(r) be the second derivative of -5/42*r**4 - 8/21*r**3 + 0 + 3*r - 4/7*r**2 - 1/70*r**5. Factor t(k).
-2*(k + 1)*(k + 2)**2/7
Let m(z) be the second derivative of 11*z**5/8 - 5*z**4/12 + 6*z. Factor m(w).
5*w**2*(11*w - 2)/2
Suppose 0 = -21*h + 16*h. Let f(a) be the third derivative of -1/6*a**3 + h - 3*a**2 + 1/15*a**5 + 0*a + 1/48*a**4 + 1/48*a**6. Suppose f(k) = 0. What is k?
-1, 2/5
Let d(b) be the first derivative of -2*b**3/3 + 4*b**2 - 8*b - 3. Determine f so that d(f) = 0.
2
Determine q, given that 2/11 + 1/11*q**2 + 3/11*q = 0.
-2, -1
Let g(o) be the first derivative of -o**4/8 - o**3/2 + 2*o - 4. Factor g(h).
-(h - 1)*(h + 2)**2/2
Suppose -5*u = -4*u - 30. Suppose q - 4*q - m + 10 = 0, u = 5*q + 5*m. Factor -a**2 + a**2 - 2 + a**q + a.
(a - 1)*(a + 2)
Let q(g) = -8*g**5 + 11*g**3 + 2*g + 5. Let z(s) = -39*s**5 + 54*s**3 + 9*s + 24. Let w(k) = -24*q(k) + 5*z(k). What is m in w(m) = 0?
-1, 0, 1
Suppose -9*c + 4*c + 20 = 0. Factor -8*v**2 + 2*v**c - 15 - 4*v + 21 + 2*v**3 + 2*v**3.
2*(v - 1)**2*(v + 1)*(v + 3)
Let d be (0 - 0) + 1 + 1. Let y(h) = 2*h + 7. Let k be y(-2). Determine r, given that -2/5 - 4/5*r**d - 6/5*r + 4/5*r**k + 6/5*r**4 + 2/5*r**5 = 0.
-1, 1
Suppose -4*k - 4*h - 13 = -h, 5*h = -5*k - 20. Let z = 5 + k. Factor -2*l + 8*l**4 + 0*l + 0*l + z*l**2 + 4*l**2 - 12*l**3 - 2*l**5.
-2*l*(l - 1)**4
Let l(s) be the first derivative of s**6/15 - 7*s**5/25 + 9*s**4/20 - s**3/3 + s**2/10 + 24. Factor l(g).
g*(g - 1)**3*(2*g - 1)/5
Let x(w) = -w**2 - 13*w + 24. Let f be x(-17). Let v be (-1 - -1)*(-22)/f. Factor -21/4*k**3 + 3/2*k**2 - 9/4*k**5 + 0*k + 6*k**4 + v.
-3*k**2*(k - 1)**2*(3*k - 2)/4
Let l(j) be the third derivative of j**5/80 - j**4/16 + j**3/8 - 3*j**2. Find t, given that l(t) = 0.
1
Let z(i) be the third derivative of i**6/140 + 9*i**5/140 + 3*i**4/14 + 2*i**3/7 - 6*i**2. Solve z(v) = 0.
-2, -1/2
Suppose -5*a = -13 - 17. Let l be ((-2)/a)/((-1)/9). Solve z - 1 + 5*z - 6*z**2 + 2*z**l - 1 = 0.
1
Let c(w) = 13*w**3 + 8*w**2 - w - 2. Let g = -11 + 5. Let k(o) = 38*o**3 + 23*o**2 - 4*o - 6. Let h(f) = g*k(f) + 17*c(f). Suppose h(d) = 0. What is d?
-1, -2/7, 1
Let f(n) be the first derivative of -2*n**6/105 - n**5/70 + n**4/42 + 3*n - 1. Let y(w) be the first derivative of f(w). What is r in y(r) = 0?
-1, 0, 1/2
Let s(b) be the second derivative of -b**6/240 + 7*b**5/160 - 5*b**4/96 - 7*b**3/48 + 3*b**2/8 + 17*b + 2. Solve s(m) = 0.
-1, 1, 6
Let c(d) be the second derivative of -d**6/300 - d**5/200 + d**4/40 + d**3/12 + d**2/10 - 10*d. Suppose c(k) = 0. What is k?
-1, 2
Factor 12*l**2 - l**4 - 3*l - 3*l**4 + 7*l - 4*l**3 + 8 + 16*l.
-4*(l - 2)*(l + 1)**3
Let z = 158 + -158. Let d(m) be the first derivative of 0*m**3 + z*m**2 - 2 + 0*m - 3/4*m**4. Factor d(n).
-3*n**3
Suppose -4*c + 8*c = 16. Let b(w) be the second derivative of 1/36*w**c + 0*w**2 - w + 1/18*w**3 + 0. Factor b(i).
i*(i + 1)/3
Let v = 1053 + -4211/4. Solve 0*i - 1/4*i**2 + v = 0 for i.
-1, 1
Let i(p) be the second derivative of 3*p + 0 + 1/24*p**4 - 1/12*p**3 + 0*p**2. Let i(f) = 0. What is f?
0, 1
Let l(f) be the third derivative of -f**8/10080 + f**7/420 - f**6/40 - f**5/60 - f**2. Let d(s) be the third derivative of l(s). Solve d(v) = 0 for v.
3
Suppose -54 = -4*g + 10. Factor -y**2 + g - 8 - 7.
-(y - 1)*(y + 1)
Suppose 4*w - w = g - 13, -g - 5*w = 11. Let f(h) be the second derivative of 0 + 0*h**2 - 2/9*h**3 - 2*h + 1/18*h**g. Factor f(u).
2*u*(u - 2)/3
Let j(z) be the second derivative of z**7/3780 + z**3/3 + 2*z. Let d(y) be the second derivative of j(y). Factor d(o).
2*o**3/9
Suppose o + 4*c - 19 = 10, 5*c = 2*o - 6. Determine x, given that 12 - 15*x**2 + o*x + 10*x - 2*x + 3*x = 0.
-2/5, 2
Let b be 50/13 + 32/208. Let u(y) be the second derivative of 1/42*y**7 + 0*y**b + 1/15*y**6 + 0*y**2 + 0*y**3 + 1/20*y**5 + 0 + y. Let u(h) = 0. What is h?
-1, 0
Let b be (-1)/(1/4*-2). Let r = 62 + -247/4. Factor -1/4*y**4 + 0 + 1/4*y**3 - r*y + 1/4*y**b.
-y*(y - 1)**2*(y + 1)/4
Let k(u) be the second derivative of -3*u**4/4 - u**3/2 + u**2 - 18*u. Determine o, given that k(o) = 0.
-2/3, 1/3
Suppose -5*z + 37 - 2 = 0. Factor -2*y + 0*y - z*y**2 + 5*y**2.
-2*y*(y + 1)
Suppose -x - 9*v + 4*v = -5, -5 = 5*x - 5*v. Let 1/7*b**2 - 2/7*b + x = 0. What is b?
0, 2
Let k = -9 + 11. Determine o, given that 4*o**3 - 4*o**5 + 0*o**5 + 6*o**4 + 2 - 8*o**k + 0*o**3 = 0.
-1, -1/2, 1
Let g(r) be the third derivative of -1/210*r**6 - 1/588*r**8 - 4/735*r**7 + 0*r**3 + 0*r - 4*r**2 + 0 + 0*r**4 + 0*r**5. Suppose g(c) = 0. Calculate c.
-1, 0
Let t(l) be the first derivative of 2*l**3/9 - l**2/3 + 1. Factor t(h).
2*h*(h - 1)/3
Let -6*c**5 - 15*c**2 - 2*c**5 - 40*c**4 - 4*c**5 + 39*c**2 - 4*c**3 = 0. What is c?
-3, -1, 0, 2/3
Let x(a) be the third derivative of -a**8/480 + 4*a**7/315 - a**6/90 + a**4/12 + 3*a**2. Let k(d) be the second derivative of x(d). Factor k(z).
-2*z*(z - 2)*(7*z - 2)
Let p(z) be the second derivative of 1/2*z**4 - 3*z**2 - 7*z + 3/20*z**5 - 1/2*z**3 + 0. Suppose p(u) = 0. Calculate u.
-2, -1, 1
Suppose 0*d - 2*d = -5*d. Find s, given that 0 + 2/9*s**5 - 4/9*s**4 + 0*s + d*s**2 + 2/9*s**3 = 0.
0, 1
Let h be (-2 - -3) + 1 + -1. Let f(b) = b**3 + b**2. Let q(j) = 7*j**3 + 7*j**2. Let z(d) = h*q(d) - 6*f(d). Factor z(r).
r**2*(r + 1)
Let s be (-140)/4*3/(-1). Let x be (-36)/20*(-50)/s. Determine o, given that 2/7*o**3 - x*o + 0*o**2 + 4/7 = 0