the second derivative of 1/9*u**4 - 40/3*u**2 + 1 + 2/9*u**3 + 11*u. Factor j(i).
4*(i - 4)*(i + 5)/3
Solve 75*q**2 - 35/2*q**3 + 5/4*q**4 - 625/4 - 125/2*q = 0.
-1, 5
Let i = -897 + 903. Factor 14*x**2 + i*x**2 - 4 - 18*x**3 + 14*x - x**4 + 4*x - 15.
-(x - 1)**2*(x + 1)*(x + 19)
Let k(t) be the second derivative of 1/4*t**4 + 3/2*t**3 + 3*t**2 + 0 - 66*t. Factor k(i).
3*(i + 1)*(i + 2)
Let t(y) be the second derivative of -y**5/40 + 11*y**4/8 - 18*y**3 - 243*y**2 - 2476*y. Find r, given that t(r) = 0.
-3, 18
Find j, given that 2/3*j**2 - 70/3*j + 44 = 0.
2, 33
Suppose -99*f + 10386 = 10188. Factor -6/5*k + 0 - 2/5*k**3 - f*k**2 + 2/5*k**4.
2*k*(k - 3)*(k + 1)**2/5
Let l(o) be the third derivative of 13*o + 23/450*o**5 + 12/5*o**3 + 0 - 1/900*o**6 + 26/45*o**4 + 7*o**2. Solve l(j) = 0 for j.
-2, 27
Let n = 615/152 - 46/19. Suppose -16763*l = -16784*l + 84. Factor -1/8*g**3 + 3/4 + 7/8*g**2 - 1/8*g**l + n*g.
-(g - 3)*(g + 1)**2*(g + 2)/8
Let m(u) = -u**2 + 11*u - 20. Let j be m(9). Let a be (0/1*(3 + j))/2. Determine t, given that 6*t**4 + 8*t + a*t**2 - 16*t**3 - 12*t**3 + 14*t**2 = 0.
-1/3, 0, 1, 4
Let b(p) be the second derivative of 1/2*p**6 - 12*p**2 + 191/12*p**4 - 49/5*p**5 + 0 + 7/3*p**3 - 166*p. Let b(x) = 0. What is x?
-1/3, 2/5, 1, 12
Suppose -2*r = b - 33, b + 4*r - 3 = 38. Suppose o + 37 = 5*l + b, 4*l = 4*o. Find w such that -1/6*w**l + 1/2*w**2 + 1/6 - 1/2*w = 0.
1
Let z be (-13)/(-13) - (7 - -4). Let t be 1 - ((-54 - 2) + 30/z). Suppose 27 + t*h + 20/3*h**3 + 118/3*h**2 + 1/3*h**4 = 0. Calculate h.
-9, -1
Find b, given that 20/3*b - 12 - 1/3*b**2 = 0.
2, 18
Let z(c) be the first derivative of -c**4/4 - 16*c**3 + 49*c**2/2 + 2*c - 35. Let t be z(-49). Suppose -t*b - 3 - 1/3*b**2 = 0. What is b?
-3
Suppose c - 36 = 3*t, 0 = -t - 21 + 16. Let q be (-3 - (-217)/c) + -7. Find x, given that -q*x - 1/6 - 1/6*x**2 = 0.
-1
Let h(i) be the second derivative of i**4/9 - 772*i**3/9 - 258*i**2 + 1036*i. Factor h(c).
4*(c - 387)*(c + 1)/3
Let a(q) be the second derivative of 1/40*q**5 + 2 + 54*q - 1/12*q**3 - 1/6*q**4 + q**2. Suppose a(o) = 0. Calculate o.
-1, 1, 4
Let y be (0 - (-2 - 1 - -3))/(-1). Suppose b + b - 4 = y. Suppose -37*k**3 + 7*k**b - 27*k**2 + 20 - 25*k + 62*k**3 = 0. Calculate k.
-1, 4/5, 1
Let r = 10/1059 - -111/706. Let g(b) be the second derivative of -1/4*b**5 - 3/8*b**4 - r*b**3 + 25*b - 1/20*b**6 + 0*b**2 + 0. Factor g(i).
-i*(i + 1)*(i + 2)*(3*i + 1)/2
Let o(c) be the third derivative of -c**8/2856 + 107*c**7/1785 - 583*c**6/204 + 2809*c**5/510 + 1309*c**2. Suppose o(w) = 0. What is w?
0, 1, 53
Let c(a) be the first derivative of -47*a**4/12 - 5*a**3 + a**2/3 + 950. Factor c(g).
-g*(g + 1)*(47*g - 2)/3
Let b = 7492 + -7492. Let a(o) be the second derivative of -2*o + 1/42*o**7 + 0*o**4 + 0*o**6 + 1/6*o**3 + b*o**2 + 0 - 1/10*o**5. Factor a(d).
d*(d - 1)**2*(d + 1)**2
Let m(a) = 3*a**4 - 2*a**3 + 12*a**2 + 5*a. Let f(x) = 1028*x**3 - x - 1028*x**3 + 2*x**4. Let p(n) = 15*f(n) - 5*m(n). Factor p(c).
5*c*(c - 2)*(c + 2)*(3*c + 2)
Let s(g) be the first derivative of 1/160*g**5 - 19 - 1/3*g**3 - 7/2880*g**6 + 1/192*g**4 + 0*g + 0*g**2. Let j(z) be the third derivative of s(z). Factor j(k).
-(k - 1)*(7*k + 1)/8
Let o(x) be the third derivative of x**11/1330560 + x**10/604800 + 5*x**5/12 + 178*x**2. Let l(y) be the third derivative of o(y). What is n in l(n) = 0?
-1, 0
Let f(j) = -36*j**2 + 2*j - 3. Let p be f(2). Let h = p - -147. Factor 0*t**3 - 1/7*t**h + 0 + 2/7*t + 3/7*t**2.
-t*(t - 2)*(t + 1)**2/7
Let r(m) be the first derivative of 4*m**3 - 5*m**2 - 1/2*m**4 - 24*m + 226. Factor r(n).
-2*(n - 4)*(n - 3)*(n + 1)
Let h(n) be the first derivative of -n**6/2 + 1068*n**5/5 - 32610*n**4 + 1960750*n**3 - 51379125*n**2/2 + 45626250*n - 5041. Solve h(u) = 0.
1, 10, 115
Let h(a) = 52*a**2 + 2224*a + 10112. Let o(t) = 8*t**2 + 341*t + 1556. Let l(j) = 5*h(j) - 32*o(j). Determine z, given that l(z) = 0.
-48, -4
Let t = -9/1820 - -284107/260. Let s = 1093 - t. Let 6/7*j**2 - 2/7*j**4 + s*j - 4/7 - 2/7*j**3 = 0. What is j?
-2, -1, 1
Solve -5*f - 35*f**2 + 255/4*f**3 + 0 = 0 for f.
-2/17, 0, 2/3
Let r(k) = 17*k**2 + 32*k - 8. Let i(z) = 75*z**2 - 33 - 6*z**2 + 794*z - 665*z. Let y(a) = 4*i(a) - 15*r(a). Factor y(q).
3*(q + 2)*(7*q - 2)
Let l(i) be the third derivative of -3*i**8/392 - 2*i**7/49 - i**6/15 - 4*i**5/105 + 1647*i**2. Factor l(t).
-2*t**2*(t + 2)*(3*t + 2)**2/7
Let k be ((-16)/44)/((-13740)/7557). Factor -14/5 - 3*j - k*j**2.
-(j + 1)*(j + 14)/5
Suppose 0*n - 35 = 2*c - n, -3*c + 4*n - 50 = 0. Let y be ((-18)/75)/(c/10). Factor y*s**2 + 4/5 + 14/15*s.
2*(s + 1)*(s + 6)/15
Let z(t) be the third derivative of 111*t**2 + 1/25*t**5 + 0 + 0*t + 3/16*t**4 + 11/30*t**3 + 1/1200*t**6. Solve z(k) = 0.
-22, -1
Let n = 49 - 47. Suppose t = 4*h + 3 - 13, 0 = n*h + 4*t - 14. Let -3*u**4 + 24*u**2 - 21*u**2 - 2*u**3 - u**3 + h*u**5 = 0. Calculate u.
-1, 0, 1
Let k(w) be the first derivative of w**7/70 - w**6/5 + 6*w**5/5 - 4*w**4 + 8*w**3 - 3*w**2/2 - 4*w + 36. Let q(t) be the second derivative of k(t). Factor q(y).
3*(y - 2)**4
Let j(k) be the first derivative of k**2 - 19 + 0*k**3 + 0*k + 1/240*k**4 + 1/600*k**5. Let m(c) be the second derivative of j(c). Factor m(l).
l*(l + 1)/10
Let l(g) be the second derivative of -g**5/220 + 43*g**4/132 - 205*g**3/22 + 2925*g**2/22 + 8*g + 301. Find i such that l(i) = 0.
13, 15
Suppose 0 = -618*m + 686*m. Determine h so that 0*h - 10/3*h**3 - 7/6*h**2 + m + 1/2*h**4 = 0.
-1/3, 0, 7
Factor -768/5 - 579/5*z**2 + 18*z**3 - 3/5*z**4 - 288*z.
-3*(z - 16)**2*(z + 1)**2/5
Let p = -22274/11 - -2025. Let j = p - -8/33. Factor 0*n + 4/3 - n**2 - j*n**3.
-(n - 1)*(n + 2)**2/3
Find g such that -577*g**2 + 1206*g**2 - 9*g - 619*g**2 - 90 + g**3 = 0.
-10, -3, 3
Solve -2/3*g**2 - 52*g - 154/3 = 0.
-77, -1
Let u(v) be the second derivative of -v**4/18 - 146*v**3/3 - 15987*v**2 - 3778*v. Suppose u(b) = 0. What is b?
-219
Let j be 14 + ((-3300)/288 - 2) + 1/8. Suppose -2/3*s**5 + j*s**4 + 0*s + 0 + 2*s**2 + 10/3*s**3 = 0. What is s?
-1, 0, 3
Let q(j) = j**2 + 7*j + 9. Let x be 1*(-1 - 0)*(11 - 4). Let p be q(x). Determine i so that -3*i**4 - 13*i**4 + 27*i**3 - 11*i**4 + 6*i**5 + 3*i**2 - p*i = 0.
-1/2, 0, 1, 3
Let y(r) be the second derivative of -4*r - 10 + 3/8*r**4 + 3/40*r**5 - 3*r**2 + 0*r**3. Factor y(t).
3*(t - 1)*(t + 2)**2/2
Let f(z) be the first derivative of 71 - 81/4*z - 81/8*z**2 - 9/4*z**3 - 3/16*z**4. Find a such that f(a) = 0.
-3
Let a = -42 + 73. Let k = a - 27. Factor 10*g**k - 6*g**2 + 9*g**2 - 13*g**4 + 3*g**3 - 3*g.
-3*g*(g - 1)**2*(g + 1)
Let x = -818 + 1078. Suppose 0 = 267*i - x*i. Factor 3*l**3 + 3/2*l + 0 + i*l**4 - 1/2*l**5 + 4*l**2.
-l*(l - 3)*(l + 1)**3/2
Let -869*l - 162*l**2 - 921*l**4 + 893*l - 267*l**2 + 1170*l**3 + 81*l**2 + 210*l**5 = 0. Calculate l.
0, 1/10, 2/7, 2
Let z be 5*((24/63)/1 - 6 - -6). Let j(s) be the first derivative of -3/7*s**4 + 8/7*s - 18/7*s**2 - 13 + z*s**3. Determine o, given that j(o) = 0.
1/3, 1, 2
Let l = 2905 - 2902. Let x(b) be the first derivative of 1/10*b**4 - 2/15*b**l - 16 + 2/5*b - 1/5*b**2. Factor x(y).
2*(y - 1)**2*(y + 1)/5
Let b(s) = -9*s**2 - 11*s. Let j be (0/1)/(-7 - -9). Suppose j = 3*h, -i + 25 = 3*h - 8*h. Let o(p) = -55*p**2 - 65*p. Let n(m) = i*b(m) - 4*o(m). Factor n(r).
-5*r*(r + 3)
Factor -2504*w**2 + 3200*w + 2048 - 2460*w**2 + 5158*w**2 + 3*w**3.
(w + 32)**2*(3*w + 2)
Let r(i) be the third derivative of 5*i**5/6 + 70*i**4 + 2352*i**3 + 2*i**2 - 23*i + 1. Factor r(d).
2*(5*d + 84)**2
Let r be ((-1)/10)/(((-96)/(-1412))/3). Let f = r - -77/16. Let 1/5*m**4 + 0*m - f*m**2 + 1/5 + 0*m**3 = 0. Calculate m.
-1, 1
Solve -768 - 165*w**3 - 1376*w - 1/3*w**5 - 2281/3*w**2 - 13*w**4 = 0 for w.
-16, -3, -1
Let v(t) be the second derivative of -t**6/30 + 7*t**5/10 - 13*t**4/12 - 7203*t. Factor v(o).
-o**2*(o - 13)*(o - 1)
Let r = -265 - -268. Find z such that -22*z**2 + 7 - 6*z**r + 328*z - 266*z - 41 = 0.
-17/3, 1
Let a be 41 + -2 + 0 + 4623/(-69) + 58. Factor 5/2*p + 5/2*p**2 - a.
5*(p - 3)*(p + 4)/2
Let x(w) = -9*w**3 + 28*w**2 - 36*w + 14. Let r(q) = -11*q**3 + 28*q**2 - 37*q + 16. Let p be 9/1 - (6/6 + 4). Let c(z) = p*x(z) - 3*r(z). Factor c(o).
-(o - 8)*(o - 1)*(3*o - 1)
Suppose -2*u - 4*o - 20 = 0, 4*u + 34*o - 35*o - 14 = 0. Let i