derivative of -s**6/40 + s**5/20 + 5*s**4/8 + 3*s**3/2 + 17*s**2/2 + 26*s. Let t(p) be the first derivative of m(p). Factor t(w).
-3*(w - 3)*(w + 1)**2
Suppose 4*s = -5*x + 18, 2 = -x - 3*x + 5*s. Solve 9*b**4 - 3*b**3 + b**3 - 6*b**x + 9*b - 3*b**5 - 4*b**3 - 3 = 0 for b.
-1, 1
Suppose 5*x - 18 = 2*x + 3*y, -24 = -3*x + 5*y. Suppose 2*p = -x*z + 17, 0 = -4*z + p + 2*p. Solve 0*b - 1/3*b**z + 0*b**2 + 0 = 0 for b.
0
Let v(l) be the third derivative of l**7/1155 - 2*l**6/165 + 3*l**5/55 - 4*l**4/33 + 5*l**3/33 - 1025*l**2. What is m in v(m) = 0?
1, 5
Let x = 10651 + -10651. Find a such that 0*a - 3/2*a**3 + x*a**2 + 9/2*a**4 + 0 = 0.
0, 1/3
Suppose 4*y - 30 = 94. Suppose -4*s - 11 = -y. Solve 0*n**3 + 4*n - 3*n - 2*n + 2*n**3 - n**s = 0 for n.
-1, 0, 1
Suppose -4*f - 39 = -2*f + 5*w, 2*f = 5*w - 29. Let q be (-3)/7 - f/7. Factor 11*g**q + g**4 + 12*g**2 - 26*g**2 - 2*g.
g*(g - 2)*(g + 1)**2
Suppose 4*r**4 + 164/3*r**3 + 0 + 368/3*r**2 + 176/3*r = 0. Calculate r.
-11, -2, -2/3, 0
Let s = -121 - -125. Let r(z) be the second derivative of 0*z**s + 0*z**3 - 1/30*z**5 - 1/45*z**6 + 0*z**2 + 0 + 5*z. Factor r(m).
-2*m**3*(m + 1)/3
Let f(u) be the third derivative of 3*u**6/160 - 19*u**5/80 + 3*u**4/16 + 244*u**2. Find i such that f(i) = 0.
0, 1/3, 6
Let l(p) = -p**3 + 3*p + 4. Let z be l(-1). Suppose -13 - g**2 - 4*g**z - 12 - 30*g = 0. Calculate g.
-5, -1
Let 64/3 + 20/3*f**2 + 2/3*f**3 + 64/3*f = 0. Calculate f.
-4, -2
Let i(q) be the third derivative of 2*q**7/315 + 7*q**6/90 + q**5/9 - 7*q**4/18 - 4*q**3/3 + 23*q**2 - 6. Solve i(w) = 0.
-6, -1, 1
Factor 419*y - 290*y + 9*y**3 - 54 + 6*y**3 - 93*y**2 + 3*y**4.
3*(y - 2)*(y - 1)**2*(y + 9)
Let v be (-87)/(-27) - (4/18 - (-2 + 2)). Factor 25*b**2 - 125*b - 5/3*b**v + 625/3.
-5*(b - 5)**3/3
Let b(n) = -n - 14. Let r be b(-16). Suppose 4*h = r*y - 4, 3*y - 6 = -2*h + h. Find w, given that 1/7 - 2/7*w + 1/7*w**y = 0.
1
Let b(h) = 3*h**3 - 27*h**2 + 9*h + 9. Let x(n) = n**3 - 7*n**2 + 2*n + 2. Let y = 4 - -5. Let m(v) = y*x(v) - 2*b(v). Factor m(a).
3*a**2*(a - 3)
Let m(b) be the third derivative of 0*b + 2/165*b**6 + 4*b**2 - 1/1155*b**7 + 8/33*b**4 - 4/55*b**5 - 16/33*b**3 + 0. Solve m(s) = 0 for s.
2
Factor -23*f**4 - 2*f + 18*f**4 - 8*f + 15*f**2.
-5*f*(f - 1)**2*(f + 2)
Let i(q) be the third derivative of q**5/270 - q**4/54 + q**3/27 + 125*q**2. Factor i(t).
2*(t - 1)**2/9
Let l = -135 - -251. Determine s, given that -46*s**2 + 40*s - 33 + l + 10*s**3 - 59 = 0.
-2/5, 2, 3
Let j be 15/45*3*1. Suppose 7 + j = 4*t. Suppose -2*y + 4 - 3*y**2 + 2*y - t*y + y**2 = 0. Calculate y.
-2, 1
Let r(m) be the second derivative of -1/4*m**4 - 1/4*m**3 + 34*m - 3/40*m**5 + 0 + 0*m**2. Factor r(x).
-3*x*(x + 1)**2/2
Let f(y) be the third derivative of -1/720*y**6 - 37*y**2 + 0*y**3 + 0*y + 0 + 0*y**4 - 1/360*y**5. Determine w, given that f(w) = 0.
-1, 0
Factor -6*d**2 - 11/2*d**3 - 2*d**4 - 9/4*d + 0 - 1/4*d**5.
-d*(d + 1)**2*(d + 3)**2/4
Let c(f) be the first derivative of -f**4/2 - 44*f**3/3 + 23*f**2 + 85. Find u, given that c(u) = 0.
-23, 0, 1
Suppose 1/5*k**5 - 8/5*k**3 - 64/5*k**2 + 8/5*k**4 + 128/5 + 16/5*k = 0. What is k?
-8, -2, 2
Let a be 2/6 + 154/42. Let t(z) be the first derivative of 0*z + a + 3/10*z**2 + 1/5*z**3. Factor t(v).
3*v*(v + 1)/5
Let a(q) be the second derivative of -5*q**7/42 + 7*q**6/6 - 13*q**5/4 - 5*q**4/4 + 15*q**3 + 62*q. Find h, given that a(h) = 0.
-1, 0, 2, 3
Let b(p) be the third derivative of -p**5/20 - 3*p**4/2 - 18*p**3 - 21*p**2 + 3*p. Factor b(y).
-3*(y + 6)**2
Let b(r) be the first derivative of r**6/195 - 7*r**5/130 + r**4/13 - r - 41. Let p(g) be the first derivative of b(g). Factor p(s).
2*s**2*(s - 6)*(s - 1)/13
Let i(a) be the first derivative of a**6/900 - 2*a**5/75 + 4*a**4/15 + 5*a**3/3 - 10. Let p(o) be the third derivative of i(o). Solve p(q) = 0.
4
Let s(q) be the second derivative of -1/3*q**4 + 0*q**2 + 0 + 4/3*q**3 - 6*q. Factor s(f).
-4*f*(f - 2)
Let -16/3 - 360*y**3 + 225*y**4 - 216*y**2 + 224/3*y = 0. Calculate y.
-2/3, 2/15, 2
Let r(w) be the first derivative of w**4/24 - 5*w**3/36 + w**2/6 + 10*w - 8. Let x(m) be the first derivative of r(m). Suppose x(v) = 0. Calculate v.
2/3, 1
Suppose 95 = -5*r + 45. Let b be 1/r - (2 + 10/(-4)). Find x, given that 0 + 1/5*x**5 + b*x**4 + 0*x**3 - 1/5*x - 2/5*x**2 = 0.
-1, 0, 1
Let l(s) be the third derivative of -s**5/150 - s**4/4 - 10*s**3/3 + 445*s**2 + 2. Factor l(o).
-2*(o + 5)*(o + 10)/5
Let j(y) be the first derivative of -2 + 1/10*y**5 + 2*y - 1/6*y**4 + 0*y**2 + 1/15*y**6 - 1/3*y**3. Let t(h) be the first derivative of j(h). Factor t(q).
2*q*(q - 1)*(q + 1)**2
Let j(a) be the third derivative of -a**6/360 + 23*a**5/90 - 89*a**4/72 + 22*a**3/9 + 142*a**2. Factor j(z).
-(z - 44)*(z - 1)**2/3
Let q = -1 + 3. Suppose 4*l + 0*l**2 - 2*l + 0*l - q*l**2 = 0. What is l?
0, 1
Let s be (((-8)/10)/2)/((-32)/320). Let t(u) be the first derivative of 2 - 6*u**s + 48/5*u**5 + 12*u**2 - 15*u**3 - 3*u. Determine l, given that t(l) = 0.
-1, 1/4, 1
Let k = 13 + -11. Factor 3 + 0*d**2 + d**2 - 9*d - 10*d**k - 3*d**3 - 6.
-3*(d + 1)**3
Let t(r) be the second derivative of -r**10/120960 + r**9/60480 + 4*r**4/3 - 2*r. Let u(v) be the third derivative of t(v). Suppose u(a) = 0. Calculate a.
0, 1
Factor -46/13*u - 12/13 - 14/13*u**2.
-2*(u + 3)*(7*u + 2)/13
Let v be ((-4)/(-8) + (-3)/(-6))*12/90. Factor 2/15*w**2 + 4/15*w + v.
2*(w + 1)**2/15
Let f(o) = 1 - 4*o + o + 1 + 5*o**2. Let m be f(1). Solve -m*t**2 - 4 + 4*t**3 + 0*t**2 + 4 + 4*t**4 - 4*t = 0.
-1, 0, 1
Let d be (-2 + 3)*(-12 + 14). Solve 2*k + 8*k - 468*k**2 + 353*k**d = 0.
0, 2/23
Let f(u) = -3*u**2. Let m(z) = 2*z**2 + 16*z - 15. Let p(l) = 3*f(l) + 3*m(l). Find s, given that p(s) = 0.
1, 15
Suppose -s + 5 = -0. Suppose -2*v = 4*n, -s*n = -3*v + 5*v + 1. Factor 0*x**v + 0*x**2 + 2*x**2 - 4*x**2 - 4*x.
-2*x*(x + 2)
Suppose 3*c - 26 = 5*t, 4*t = -t - 20. Factor 5*v - v - 13*v**2 - v + 3*v**3 + 7*v**c.
3*v*(v - 1)**2
Let m(k) = -k**2 - 2*k - 1. Let o(l) be the first derivative of l**3/3 + l - 24. Let q(p) = 3*m(p) + 6*o(p). Find a such that q(a) = 0.
1
Let q(w) be the second derivative of -w**6/30 - 3*w**5/5 + w**4/12 + 2*w**3 + 88*w + 1. Let q(l) = 0. What is l?
-12, -1, 0, 1
Let j be (-6)/4*(5 - (5 - -6)). Let h be 3/j - 1/(-6). Factor 1/2 - 1/2*p**3 + h*p - 1/2*p**2.
-(p - 1)*(p + 1)**2/2
Let n(q) be the second derivative of -q**5/20 + q**4/12 - q**3/24 - 154*q. Factor n(h).
-h*(2*h - 1)**2/4
Let c = -1224 + 1227. Let r(b) be the third derivative of 0*b**4 + 7*b**2 + 0*b + 0 - 1/180*b**5 + 0*b**c. Factor r(z).
-z**2/3
Let j(x) be the second derivative of x**4/12 + 43*x**3/3 + 1849*x**2/2 - 249*x. What is z in j(z) = 0?
-43
Suppose 33*p + 2*q = 34*p - 12, p + q = 0. Let b(u) be the third derivative of 1/21*u**3 + 1/210*u**5 + 0*u + 0 + p*u**2 - 1/42*u**4. Solve b(r) = 0 for r.
1
Suppose -3*w - 9*w + 78 = -18. Solve -32/3 + w*g**2 - 4/3*g**4 - 4/3*g**3 + 16/3*g = 0.
-2, 1, 2
Let c be (12/10)/(((-3)/30)/((-13)/104)). Determine i so that c*i**2 - 3/2*i + 0 = 0.
0, 1
Let q = -556/3 + 413/3. Let n = q + 49. Let -n*p + 0 - 1/3*p**2 = 0. What is p?
-4, 0
Let v(a) = 8*a - 9*a - 6*a - 5 + a + a**2. Let o be v(7). Factor 22 - 8*y**o - 10 + 29*y**2 - 48*y.
3*(y - 2)*(7*y - 2)
Let k(f) = 2*f**2 - 16*f - 18. Let i(x) = -1 - 40 + 5*x**2 - 61*x + 13*x - 12. Let d(h) = -6*i(h) + 17*k(h). Factor d(p).
4*(p + 1)*(p + 3)
Suppose 0 = 3*l - 69 + 183. Let h be (-4 + -2)/((-1 + l)/3). Determine j so that 2/13*j**3 + 6/13*j + 2/13 + h*j**2 = 0.
-1
Let y(u) be the second derivative of -19*u + 1/273*u**7 - 8/195*u**6 - 8/13*u**2 - 19/39*u**4 + 28/39*u**3 + 5/26*u**5 + 0. Solve y(i) = 0.
1, 2
Let w(y) be the first derivative of -y**6/2 + 17*y**5/5 - 37*y**4/4 + 13*y**3 - 10*y**2 + 4*y + 65. Let w(o) = 0. What is o?
2/3, 1, 2
Let r be (3 + -2)/(-1) - -4. Suppose 0 = -4*d + 2*f + 22, -2*d - 2*f = -0*d + 4. Factor 2*c**r + d*c - 4*c**2 + c**2 - c**2 - c.
2*c*(c - 1)**2
Let b(x) = x**3 - 18*x**2 + 47*x - 36. Let i be b(15). Let y be 5 + (i - (-3 - 2)). Factor 0 + 2/3*o**5 - 2/3*o**3 + 2/3*o**2 - 2/3*o**y + 0*o.
2*o**2*(o - 1)**2*(o + 1)/3
Let c(t) be the third derivative of t**6/120 + t**5/10 - 3*t**4/8 - 7*t**3/3 - 6*t**2 + 40*t. Solve c(y) = 0.
-7, -1, 2
Factor 1/2*g**2 - 4*g + 6.
(g - 6)*(g - 2)/