*k - 0*k. Find m, given that 0 + 2/7*m**2 + 2/7*m**4 + k*m - 4/7*m**3 = 0.
0, 1
Let m(k) be the second derivative of k**6/165 + 3*k**5/55 - 7*k**4/66 - k + 4. Factor m(x).
2*x**2*(x - 1)*(x + 7)/11
Let v(k) be the second derivative of -k**6/90 + k**4/6 - 5*k**3/3 - 9*k. Let m(x) be the second derivative of v(x). Find l, given that m(l) = 0.
-1, 1
Let k = 1 + -1. Suppose k*z = 3*z. Factor 1 + 1 + z*b - b**3 + 3*b.
-(b - 2)*(b + 1)**2
Let v be 16/140 - (-10)/35. Factor -2/5*d**3 + 4/5*d + v*d**2 + 0.
-2*d*(d - 2)*(d + 1)/5
Let k be (6/15)/((-3)/(-30)). Suppose k = -2*t + 8. Let -3*s - 1 + 2*s**t + 4*s + s**3 + 1 = 0. What is s?
-1, 0
Let u(w) = -39*w**2 + 261*w - 195. Let c(l) = -3*l**2 + 20*l - 15. Let a(n) = -27*c(n) + 2*u(n). Let a(v) = 0. What is v?
1, 5
Let r be (-322)/(-69)*(-1)/(-3). Let p = r + -52/45. Factor -p*t**5 + 2/5*t**2 + 2/5*t**3 + 0*t + 0 - 2/5*t**4.
-2*t**2*(t - 1)*(t + 1)**2/5
What is o in 6*o**3 + 8*o**3 + o**3 - 18*o**3 - 12 + 9*o**2 = 0?
-1, 2
Factor -15/2*m**5 - 5/2*m + 0 - 25*m**4 - 15*m**2 - 30*m**3.
-5*m*(m + 1)**3*(3*m + 1)/2
Let l(d) be the first derivative of -2*d**3/27 - 4*d**2/3 - 22*d/9 + 44. Factor l(v).
-2*(v + 1)*(v + 11)/9
Let v(o) be the first derivative of -o**6/12 - o**5/10 + o**4/4 + o**3/3 - o**2/4 - o/2 + 7. Factor v(t).
-(t - 1)**2*(t + 1)**3/2
Let p(z) be the first derivative of -27*z**5/5 - 9*z**4/2 + 20*z**3 - 12*z**2 + 33. Factor p(v).
-3*v*(v + 2)*(3*v - 2)**2
Let x = 5 + -3. Let r be (2/5)/((-1)/(-5)). Factor -r*p - x*p**3 + 0 + 2 - 2*p**2 + 4*p.
-2*(p - 1)*(p + 1)**2
Let j = -671 + 428. Let a be (j/18)/(-3 + 0). Factor 3/2*l**2 + 0*l + a*l**4 + 0 + 9/2*l**3 + 3/2*l**5.
3*l**2*(l + 1)**3/2
Let v be 23/(-4) + (25 - 19). Determine m, given that -1/4*m + v*m**2 - 1/4 + 1/4*m**3 = 0.
-1, 1
Let t(d) be the third derivative of 0*d**3 + 1/1008*d**8 + 1/72*d**4 + 0*d + d**2 - 1/180*d**6 + 0*d**7 + 0 + 0*d**5. Find r, given that t(r) = 0.
-1, 0, 1
Factor 32/9 + 2/9*o**2 + 16/9*o.
2*(o + 4)**2/9
Suppose -15*x = 18*x. Factor -3/4*d**4 + 0*d - 1/2*d**3 + x*d**2 + 0 + 5/4*d**5.
d**3*(d - 1)*(5*d + 2)/4
Let w = -2779/9 - -309. Determine m so that 2/9*m**3 + 0*m + 0 - 4/9*m**4 + w*m**2 = 0.
-1/2, 0, 1
Let c be (-5)/10 + 9/10. Let k(b) = -b**2 - 12*b - 11. Let u be k(-11). Factor u + 2/5*h + c*h**2.
2*h*(h + 1)/5
Let c(k) be the third derivative of k**8/168 - k**7/35 + k**6/20 - k**5/30 - 4*k**2. Let c(w) = 0. What is w?
0, 1
Let y(a) = 11*a**3 - 11*a + 17. Let j = -1 + 4. Let s be j*-1 - (-12)/(-4). Let t(r) = 2*r**3 - 2*r + 3. Let p(b) = s*y(b) + 34*t(b). Let p(l) = 0. What is l?
-1, 0, 1
Suppose 5*t - 11 = 9. Let q(r) be the second derivative of 0*r**3 + r - 1/4*r**t + 0*r**2 + 0. Solve q(y) = 0.
0
Factor 0 + 1/2*j**4 + 0*j**3 - 3/2*j**2 - j.
j*(j - 2)*(j + 1)**2/2
Let y(k) be the first derivative of k**6/3 + 4*k**5/5 - k**4/2 - 4*k**3/3 + 10. Let y(f) = 0. Calculate f.
-2, -1, 0, 1
Let i(y) = -8*y**2 + 20*y + 7. Let m(g) = -8*g**2 + 20*g + 8. Let q(f) = 3*f**3 - 2*f**2 - 2*f - 1. Let h be q(-1). Let v(p) = h*i(p) + 5*m(p). Factor v(t).
-4*(t - 3)*(2*t + 1)
Let w(q) = 3*q**2 + 3*q - 6. Let z(h) = -3*h**2 - 3*h + 6. Suppose -2*c + s - 7 = 0, 2*s - 4 = 2. Let b(l) = c*w(l) - 3*z(l). Factor b(f).
3*(f - 1)*(f + 2)
Let z(l) be the second derivative of -l**6/6 + l**5 - 5*l**4/2 + 10*l**3/3 - 5*l**2/2 - 10*l. Solve z(b) = 0.
1
Suppose 0*b = 2*b - 8. Determine d so that 0*d**2 + d**2 + 0*d - 3*d - b*d**2 = 0.
-1, 0
Let g(z) = -z**3 - 2*z + 3*z + 3*z**2 - 5*z + 2*z. Let r(u) = -5*u**3 + 15*u**2 - 10*u. Let w(t) = -33*g(t) + 6*r(t). Solve w(a) = 0 for a.
0, 1, 2
Let r(m) = 6*m**3 - 17*m**2 + 5. Let y(q) = -21*q**3 + 60*q**2 - 18. Let k = 8 - 13. Let v(u) = k*y(u) - 18*r(u). Factor v(a).
-3*a**2*(a - 2)
Let 2/7*l + 2/7*l**2 - 4/7 = 0. Calculate l.
-2, 1
Suppose -45*w = -49*w - v + 21, v + 7 = 3*w. Solve 0 + 16/5*q**2 - 17/5*q**3 + q**w - 4/5*q = 0 for q.
0, 2/5, 1, 2
Let m(c) be the second derivative of -c**6/180 + c**5/90 + c**2/2 + 3*c. Let w(u) be the first derivative of m(u). Factor w(r).
-2*r**2*(r - 1)/3
Let g be 7/((-3)/(-36)*-3). Let l be (10/(-7))/(36/g). Solve -14/9*h**4 - l*h**3 + 0*h + 0 + 4/9*h**2 = 0.
-1, 0, 2/7
Let j(t) be the first derivative of -t**5/20 + t**3/2 - t**2 + 3*t - 6. Let k(q) be the first derivative of j(q). Factor k(d).
-(d - 1)**2*(d + 2)
Let k(s) be the third derivative of s**8/10080 + s**7/840 + s**6/180 - s**5/30 - 2*s**2. Let o(y) be the third derivative of k(y). Let o(g) = 0. What is g?
-2, -1
Let n(b) be the first derivative of -9*b**4/2 - 34*b**3 - 31*b**2 - 10*b - 49. Solve n(g) = 0 for g.
-5, -1/3
Let c = 188 + -934/5. Solve -2/5*b**4 - 4/5*b**2 + 0*b + 0 + c*b**3 = 0.
0, 1, 2
Factor -14*a**5 - 15*a**4 - 20*a**3 - a**2 + 14*a**3 - 9*a**4 + 5*a**2.
-2*a**2*(a + 1)**2*(7*a - 2)
Suppose -3*k - 2*k + 30 = -5*c, -2*c = k + 3. Find r, given that -2/3*r**k + 2/3*r**2 - 2/3*r**4 + 2/3*r + 0 = 0.
-1, 0, 1
Let i be (-4)/(-16)*4/336. Let u(s) be the third derivative of -1/24*s**4 + 0*s**3 + 0 + 1/30*s**5 - 1/105*s**7 + i*s**8 + 0*s + 2*s**2 + 0*s**6. Factor u(a).
a*(a - 1)**3*(a + 1)
Let r(p) be the third derivative of -p**7/630 + p**6/90 - p**5/30 - 7*p**4/24 - p**2. Let j(q) be the second derivative of r(q). Factor j(m).
-4*(m - 1)**2
Let m(l) be the third derivative of -l**9/151200 + l**7/12600 + l**5/15 - 3*l**2. Let o(a) be the third derivative of m(a). Factor o(b).
-2*b*(b - 1)*(b + 1)/5
Let c(w) be the second derivative of -w**5/10 + w**3/3 + 13*w. Determine n so that c(n) = 0.
-1, 0, 1
What is x in 23/6*x**3 - 5/6*x**5 + 0 + 5/6*x**2 + 7/6*x**4 - x = 0?
-1, 0, 2/5, 3
Factor 32/9*w**2 + 4/9 + 2*w + 4/3*w**4 + 2/9*w**5 + 28/9*w**3.
2*(w + 1)**4*(w + 2)/9
Let x(w) be the first derivative of w**6/6 - w**5/3 - w**4/6 - 2. Factor x(d).
d**3*(d - 2)*(3*d + 1)/3
Let 6/13*y**4 - 24/13 + 10/13*y**3 + 64/13*y - 2/13*y**5 - 54/13*y**2 = 0. What is y?
-3, 1, 2
Factor -160/7*l**2 - 48/7*l + 0 + 4*l**3.
4*l*(l - 6)*(7*l + 2)/7
Suppose 0 = 2*k - 2*f - 42, 3 = -f - 0. Let v(r) = 14*r**2 + 12*r. Let x(s) = 57*s**2 + 47*s - 1. Let n(z) = k*v(z) - 4*x(z). Factor n(d).
4*(d + 1)*(6*d + 1)
Let g(d) be the third derivative of 0*d**4 + 0 - 3*d**2 - 1/90*d**5 + 1/9*d**3 + 0*d. Let g(s) = 0. What is s?
-1, 1
Let i(z) be the first derivative of 1/2*z**6 + 0*z + 3/4*z**4 - 6/5*z**5 - 3 + 0*z**2 + 0*z**3. Factor i(y).
3*y**3*(y - 1)**2
Let z(y) be the second derivative of y**6/540 + y**3/6 + y. Let i(k) be the second derivative of z(k). Factor i(b).
2*b**2/3
Let n(o) = -o + 4. Let i be n(2). Solve -2*w + 2*w - w - w**3 + 2*w**i = 0 for w.
0, 1
Let p(o) be the first derivative of -o**6/24 + 3*o**5/20 - o**4/8 - o**3/6 + 3*o**2/8 - o/4 + 14. Factor p(l).
-(l - 1)**4*(l + 1)/4
Factor 54*h + 3*h**2 + 73 + 96 + 38 + 36.
3*(h + 9)**2
Let u be 19/38 + (-3)/(-2). Let p(j) be the second derivative of 1/27*j**3 + 0*j**2 + u*j + 1/54*j**4 + 0. What is q in p(q) = 0?
-1, 0
Let q(z) = z**3 - z**2 + z - 1. Let n(m) = 6*m**2 - 6*m. Let h(i) = -n(i) + 3*q(i). Factor h(f).
3*(f - 1)**3
Let f(j) = -3*j. Let t be f(0). Factor 0*m - 4/7*m**3 + t*m**2 - 2/7*m**5 - 6/7*m**4 + 0.
-2*m**3*(m + 1)*(m + 2)/7
Let s = -83 - -85. Solve -2/7*j + 0 + 4/7*j**4 + 2/7*j**5 - 4/7*j**s + 0*j**3 = 0 for j.
-1, 0, 1
Factor 25*c**3 - 16*c**2 + 47*c**5 - c**3 - 16*c**4 + 4*c - 43*c**5.
4*c*(c - 1)**4
Let i be ((-1)/3)/(6/(-54)). Solve -17*l**5 + 0*l - 2*l**2 + l + 2*l**4 - 6*l**3 + 19*l**5 + i*l = 0.
-2, -1, 0, 1
Let a(b) be the first derivative of -b**6/24 + b**5/5 - 5*b**4/16 + b**3/6 + 1. Let a(h) = 0. What is h?
0, 1, 2
Let b(v) be the third derivative of -7*v**6/1620 + v**5/270 + 2*v**3/3 + v**2. Let o(w) be the first derivative of b(w). Factor o(a).
-2*a*(7*a - 2)/9
Let i be ((-3)/6*(3 + -2))/(-1). Let b(j) be the first derivative of -2*j + 3 + 1/3*j**3 + i*j**2. Determine x, given that b(x) = 0.
-2, 1
Let v(h) be the third derivative of -h**6/48 + 13*h**5/120 + 13*h**4/24 + 2*h**3/3 - 4*h**2 - 4. Factor v(k).
-(k - 4)*(k + 1)*(5*k + 2)/2
Let b(z) be the second derivative of z**6/42 - 13*z**5/140 + 3*z**4/28 + z**3/42 - z**2/7 - 8*z. Suppose b(s) = 0. Calculate s.
-2/5, 1
Let k = 2153 + -15046/7. Determine y so that 0*y - 4/7*y**2 + 0 - k*y**5 - 5/7*y**4 + 16/7*y**3 = 0.
-1, 0, 2/5
Suppose 29 = q - 5*v, 3*q - 2*v - 16 - 6 = 0. Factor -4*h