nd derivative of u**9/756 + u**8/140 - 2*u**6/45 + 13*u**3/6 - 20*u. Let a(q) be the second derivative of z(q). Find w such that a(w) = 0.
-2, 0, 1
Let n(i) be the first derivative of -3*i**5/5 + 3*i**4 + i**3 - 6*i**2 + 1. Factor n(d).
-3*d*(d - 4)*(d - 1)*(d + 1)
Let z(b) be the third derivative of -b**7/1680 + 3*b**6/320 - 7*b**5/480 - 15*b**4/64 - 7*b**3/12 - 142*b**2. Factor z(j).
-(j - 7)*(j - 4)*(j + 1)**2/8
Let g be (-3 - (-94)/30)/8. Let m(d) be the third derivative of 1/6*d**3 - 3*d**2 + 0 + g*d**5 + 0*d - 1/12*d**4. Factor m(h).
(h - 1)**2
Suppose -4*w - 128 = 60. Let i = 47 + w. Factor i + 2/15*t**2 + 4/15*t.
2*t*(t + 2)/15
Suppose 31 + 23 = 3*c. Let x = 60 - c. Factor x*r + 13*r**3 - 18*r**2 - 15*r - 10*r**3.
3*r*(r - 3)**2
Let j = -15 - -10. Let f be (-4)/8*j*2. Factor 2*s**3 + 4*s**3 - 3*s**f - 4*s**3 + s**5.
-2*s**3*(s - 1)*(s + 1)
Let d(p) be the third derivative of -p**9/3024 - p**8/448 - p**7/168 - p**6/144 - 47*p**4/24 - 36*p**2. Let n(u) be the second derivative of d(u). Factor n(z).
-5*z*(z + 1)**3
Factor -5/2*a**2 - 1/4*a**3 + 11/4*a + 0.
-a*(a - 1)*(a + 11)/4
Let l(k) be the third derivative of k**6/30 - 6*k**5/5 + 16*k**4 - 256*k**3/3 - 2*k**2 + 3. Determine a so that l(a) = 0.
2, 8
Suppose -13*v = -19*v + 156. What is c in -8 + 5*c**2 - 42 - 19*c - v*c = 0?
-1, 10
Let y(d) be the second derivative of d**5/50 + d**4/10 - d**3/15 - 3*d**2/5 - 44*d - 1. Solve y(c) = 0 for c.
-3, -1, 1
Let l = 6382 - 12763/2. Suppose -1/6 + l*a - 1/3*a**3 - 1/6*a**5 + 1/2*a**4 - 1/3*a**2 = 0. Calculate a.
-1, 1
Suppose 4*b + 21 = 37. Let h(y) be the third derivative of 0*y + 1/8*y**4 - b*y**2 - y**3 + 1/20*y**5 + 0. What is u in h(u) = 0?
-2, 1
Let v(s) be the third derivative of s**8/56 - s**7/35 - s**6/180 + s**5/90 - 74*s**2. Determine m, given that v(m) = 0.
-1/3, 0, 1/3, 1
Suppose 38/3 - 40/3*j + 2/3*j**2 = 0. Calculate j.
1, 19
Let y(f) be the third derivative of -f**5/180 + f**4/3 + 26*f**3/9 + 27*f**2. Factor y(t).
-(t - 26)*(t + 2)/3
Let u(j) be the second derivative of 4*j**6/105 - 9*j**5/14 + 11*j**4/42 - 100*j. Factor u(y).
2*y**2*(y - 11)*(4*y - 1)/7
Let g = 9336 - 18663/2. Suppose -5/4*d**5 + 0*d - 2*d**2 - 3*d**3 + g*d**4 + 0 = 0. Calculate d.
-2/5, 0, 2
Let r(w) = -27*w + w**2 + 2 + 22*w + 2. Let a be r(5). Let -z**2 + 5*z**2 - 29*z + 4*z**3 - a + 25*z = 0. Calculate z.
-1, 1
Suppose -1345*f + 189 = -1282*f. What is z in -4/7*z**2 - 64/7*z**4 + 0*z + 0 + 30/7*z**5 + 38/7*z**f = 0?
0, 2/15, 1
Let p be (9/5 + (-1)/1)*5. Let h(t) be the second derivative of -1/9*t**3 + 0 + 1/18*t**p + 2*t + 0*t**2. Solve h(z) = 0 for z.
0, 1
Let k(c) be the third derivative of c**5/270 - 25*c**4/27 + 2500*c**3/27 + 648*c**2. Factor k(z).
2*(z - 50)**2/9
Let y(x) be the first derivative of 1/5*x**5 + 1/2*x**2 + 3/8*x**4 + 4 + 0*x - 1/2*x**3. Let v(r) be the second derivative of y(r). Let v(p) = 0. Calculate p.
-1, 1/4
Let a(y) be the first derivative of -2*y**2 - 25 + 5/6*y**4 + 1/5*y**5 - 4/3*y + 1/3*y**3. Suppose a(d) = 0. Calculate d.
-2, -1/3, 1
Let c = 518/47 + -989/94. Suppose -c*x**2 + 1/2*x**3 - 1/2*x + 0 + 1/2*x**4 = 0. Calculate x.
-1, 0, 1
Let k(j) = j + 24. Let t be k(-22). Let z(f) be the second derivative of 0*f**t - 1/18*f**4 + 4*f - 1/18*f**3 + 0 - 1/60*f**5. Solve z(a) = 0 for a.
-1, 0
Let y(o) be the second derivative of o**7/735 + o**6/210 - 2*o**2 + 11*o. Let g(i) be the first derivative of y(i). Find u, given that g(u) = 0.
-2, 0
Let j(i) be the third derivative of -i**5/210 - 5*i**4/28 + 6*i**3 - 2*i**2 - 117*i. Factor j(q).
-2*(q - 6)*(q + 21)/7
Let n be (-2 - (-7 - 0)) + 332/(-77). Let o = n + -6/11. Find v, given that -o*v**3 - 2/7*v**2 + 2/7 + 1/7*v = 0.
-2, -1, 1
Let h = 11 + -13. Let i be 161/14 + (-3)/h. Factor 1 - 13*l - l**2 + i*l.
-(l - 1)*(l + 1)
Let w be -8*(33/(-6) + 5). Factor -2*j**2 - 2*j**w - 1/2*j**5 - 3*j**3 - 1/2*j + 0.
-j*(j + 1)**4/2
Let j(c) = 12*c**3 + 54*c**2 + 400*c + 333. Let o(h) = -7*h**3 - 27*h**2 - 201*h - 166. Let n(f) = 3*j(f) + 5*o(f). Factor n(m).
(m + 1)*(m + 13)**2
Let m be -3*1*19/(-228)*1. Solve m*r**2 + 1/2*r + 0 - 1/4*r**4 + 1/4*r**5 - 3/4*r**3 = 0.
-1, 0, 1, 2
Let m(i) be the third derivative of -i**7/11340 - i**6/324 - 5*i**5/108 + i**4/6 + 31*i**2. Let z(s) be the second derivative of m(s). Factor z(p).
-2*(p + 5)**2/9
Let d(s) = -s**2 - 8*s + 30. Let g be d(-11). Let a be -1 + g/(-4) - (-66)/72. Determine m, given that 2/9*m**2 + 2/9*m**5 + 0 + 4/9*m - 2/9*m**4 - a*m**3 = 0.
-1, 0, 1, 2
Let b = -29 + 25. Let v be 0*b*((-10)/8 + 1). Solve 0*x + 2/9*x**2 + v - 4/9*x**3 + 2/9*x**4 = 0 for x.
0, 1
Factor -160*c - 166*c**2 + 117*c**2 + 44*c**2.
-5*c*(c + 32)
Suppose 9*k + 3*v = 4*k + 15, -2*v + 10 = 0. Let w be 4/14 - 2/(-42). What is z in -1/3*z**4 - z**2 - w*z - z**3 + k = 0?
-1, 0
Factor 64/5*a - 2/15*a**2 - 1536/5.
-2*(a - 48)**2/15
Let l be 4/26 + (1 - 45/39). Find t, given that 11/8*t**2 + 9/8*t**3 - 1/2 + l*t + 1/4*t**4 = 0.
-2, -1, 1/2
Let w be 28/36*(-171 + 1)*-1. Let d = w + -132. Solve d*j + 2/9*j**3 - 4/9*j**2 + 0 = 0.
0, 1
Suppose 5*u = -15, 3*g + 5*u + 0*u + 60 = 0. Let o = g + 15. Solve 4/5*t**3 + 2/5*t**2 + o + 0*t = 0.
-1/2, 0
Let a(n) be the third derivative of -n**6/240 - n**5/30 - n**2 + 12*n. Factor a(w).
-w**2*(w + 4)/2
Let g(n) be the first derivative of n**5/120 - n**4/48 - n**3/2 + 37*n**2/2 + 14. Let t(d) be the second derivative of g(d). Suppose t(u) = 0. Calculate u.
-2, 3
Suppose a - 2*z - 3 = 0, 5*a + 2*z - 8 - 7 = 0. Let j(p) be the first derivative of -4/3*p**a - p**4 + 2*p**2 - 7 + 4/5*p**5 + 0*p. Factor j(x).
4*x*(x - 1)**2*(x + 1)
Let u = -3489 + 3489. Solve -2/3*r + u + r**2 + 0*r**3 - 1/3*r**4 = 0.
-2, 0, 1
Let u(q) be the third derivative of -2*q + 1/12*q**4 + 0 - 30*q**2 + 7/60*q**5 + 0*q**3. Suppose u(a) = 0. Calculate a.
-2/7, 0
Suppose 9 = 4*u + 1. What is l in -4860*l + 75*l**3 - 1350*l**u - 5*l**4 - 215*l**3 - 2324 - 589 - 732 = 0?
-9, -1
Let k be (-10)/175 + (-6292)/(-2310). Factor 0 + 0*d + 4/3*d**4 + k*d**3 + 0*d**2.
4*d**3*(d + 2)/3
Suppose 2*j = 5*w - 28 - 2, -3*w - 3 = 3*j. Suppose -3*t - 4 = -w. Factor -1/3*b**3 + 0 + 1/6*b**5 + 1/6*b + t*b**2 + 0*b**4.
b*(b - 1)**2*(b + 1)**2/6
Let n be (8/(-44) - (-4)/22)/(1 + -2). Factor -2/7*r**2 + 6/7*r + n.
-2*r*(r - 3)/7
Let v(q) be the second derivative of q**6/30 - 3*q**5/10 + 3*q**4/4 + 2*q**3/3 - 6*q**2 + 224*q. Let v(r) = 0. What is r?
-1, 2, 3
Let g(l) be the first derivative of 2/3*l**3 + 9 + 0*l + 2*l**2. Find t such that g(t) = 0.
-2, 0
Suppose -6*z = -0*z - 24. Suppose -5*r - 4*r**2 + z + 3*r - 2*r**2 = 0. What is r?
-1, 2/3
Let a(y) be the first derivative of -y**4 + 2*y**3 + 8*y**2 + 6*y - 29. Find k, given that a(k) = 0.
-1, -1/2, 3
Let q be (-3)/2*28/(-6). Solve -6*o**2 - 8 + 8*o + q*o**2 + 5*o**2 = 0.
-2, 2/3
Let u(d) be the first derivative of -19*d**3 + d**2/2 + 22. Factor u(b).
-b*(57*b - 1)
Let j = 61/795 - -3/53. Determine r so that -2/3*r**2 + j*r + 16/15*r**3 - 8/15*r**4 + 0 = 0.
0, 1/2, 1
Suppose 0 = -r - 4*r - 30. Let f(c) = -14*c**2 + 71*c + 226. Let m(p) = -5*p**2 + 24*p + 75. Let z(q) = r*f(q) + 17*m(q). Factor z(n).
-(n + 9)**2
Let o(m) = -2*m**4 + 2*m**3 + 4*m**2 - 6*m - 6. Let j(l) = 6*l**4 - 5*l**3 - 14*l**2 + 17*l + 17. Let d(p) = -6*j(p) - 17*o(p). Find h such that d(h) = 0.
-4, 0, 2
Factor 25/3 + 20/3*v**2 + 85/6*v + 5/6*v**3.
5*(v + 1)*(v + 2)*(v + 5)/6
Let r(y) be the second derivative of 7*y**5/80 + 23*y**4/16 - 5*y**3/12 - 644*y. Suppose r(w) = 0. What is w?
-10, 0, 1/7
Let x be (-2)/12*-2 + ((-12298)/(-330) - 36). Factor x*k**3 - 12/5*k - 2 + 6/5*k**2.
2*(k + 1)**2*(4*k - 5)/5
Let z = 10189 + -10186. Solve 7/5*t**5 - 3*t**4 + 14/5*t**2 - 9/5*t + 2/5*t**z + 1/5 = 0 for t.
-1, 1/7, 1
Factor -2*j**3 + 8*j - 18*j - 12*j**2 - 10*j - 10*j**2 + 0*j**2.
-2*j*(j + 1)*(j + 10)
Let m(w) be the third derivative of -w**8/24 - 8*w**7/21 + 19*w**6/60 + 4*w**5/3 - w**4 + 29*w**2. Find a, given that m(a) = 0.
-6, -1, 0, 2/7, 1
Let x(n) = 6*n**2 + 6*n + 10. Let q be x(-4). Determine f so that -32*f**2 - 48*f**3 - 18*f**4 - 170 - 2*f**5 + 88 + q = 0.
-4, -1, 0
Factor 131 - 67*d + 4*d**3 - 2091 - 21*d + 16*d**2 - 276*d.
4*(d - 10)*(d + 7)**2
Let s(z) be the first derivative of 1/25*z**5 - 40 + 5/3*z**3 + 2*z + 27/10*z**2 + 9/20*z**4. Factor s(l).
(l + 1)**2*(l + 2)*(l 