 second derivative of -1/13*a**2 - o*a + 0 - 2/39*a**3 - 1/78*a**4. Solve k(l) = 0.
-1
Suppose -204*g + 200*g + 9 = v, 0 = -g - 3*v + 5. Factor 28/3 - 5*i**g - 32/3*i.
-(3*i - 2)*(5*i + 14)/3
Let o(v) be the third derivative of -1/240*v**6 + 0*v + 1/120*v**5 + 0*v**3 + v**2 - 1/210*v**7 + 0*v**4 - 13. Find k such that o(k) = 0.
-1, 0, 1/2
Suppose -35*w + 41 = -29. Let m(j) be the first derivative of w - 3/4*j**2 - 1/2*j**3 + 0*j. Factor m(d).
-3*d*(d + 1)/2
Let f(q) be the third derivative of -q**8/1008 + q**7/105 + 109*q**6/360 - 13*q**5/10 + 2*q**2 + 47*q + 2. Solve f(i) = 0 for i.
-9, 0, 2, 13
Let c(r) = 10*r**2 + 1 + 62*r + 31 - 12*r. Let q(s) = -4*s**2 - 17*s - 10. Let k(u) = -3*c(u) - 8*q(u). Determine w, given that k(w) = 0.
-1, 8
Let s(m) be the second derivative of -1/30*m**5 - 8/9*m**2 + 11/54*m**4 - m + 2/9*m**3 + 1. Suppose s(i) = 0. What is i?
-1, 2/3, 4
Suppose 3*v - 15 = 3. Let n(c) be the first derivative of 3*c**2 + 13 - 16 - v*c**3 - 22 - 15*c**4 + 9*c**3. Find i such that n(i) = 0.
-1/4, 0, 2/5
Let p(t) = 16*t + 143. Let y be p(-8). Suppose -2*m + 5 = -m. Solve -m*j**2 - 3*j**2 + y*j**2 - 6*j**2 = 0 for j.
0
Suppose 8*q + 5987 = 1979. Let p = q - -504. Factor -1/2*u - 1/4 - u**p + 7/4*u**2.
-(u - 1)**2*(4*u + 1)/4
Let v(j) = -j**4 - j**3 - j. Let z(u) = -9*u**4 - 228*u**3 - 2049*u**2 + 1194*u + 1083. Let n(f) = -3*v(f) + z(f). Solve n(l) = 0 for l.
-19, -1/2, 1
Let c(u) = -u**4 - 45*u**3 - 839*u**2 - 2122*u - 1347. Let k(g) = -2*g**3 + g**2 - 2*g - 1. Suppose -34*q + 37*q = -15. Let y(x) = q*k(x) - c(x). Factor y(d).
(d + 1)*(d + 2)*(d + 26)**2
Suppose 531*f = -663*f + 22*f + 44564 + 25756. Let -1350 - 2/3*u**2 + f*u = 0. What is u?
45
Let m = 136850 - 823313/6. Let z = 369 + m. Factor 1/3*d**3 + 1/12*d**4 - 1/3*d + z*d**2 - 1/4.
(d - 1)*(d + 1)**2*(d + 3)/12
Let l be (-2)/9 + (-376)/(-72). Suppose -5*p = -l*b - p - 5, 2*b - 3*p = -9. Find s such that s + 3*s**2 - 6*s - 64*s**3 + 65*s**b + s = 0.
-4, 0, 1
Let t(f) be the third derivative of f**7/840 - 107*f**6/480 - f**5/240 + 107*f**4/96 - 70*f**2 - 6. Factor t(g).
g*(g - 107)*(g - 1)*(g + 1)/4
Let y(s) be the first derivative of 1/30*s**6 + 16/25*s**5 - 192/5*s - 54 - 104/5*s**2 + 12/5*s**4 - 16/15*s**3. Factor y(z).
(z - 2)*(z + 2)**3*(z + 12)/5
Let z(n) = 2*n + 8. Let r be z(0). Let g be 9/6*(r - 6). Determine s, given that -6*s**3 - 4 + s**g + 6*s + 0 + 3*s**3 = 0.
-2, 1
Let i be (264/(-726))/((-3)/11*4/6). Suppose 5*v = -0*v + 25. Factor 16*m**2 + 7*m + m**i + m + 4*m**3 - v*m**2.
4*m*(m + 1)*(m + 2)
Let -3552*a**4 - 9216 + 7296*a + 3663*a**4 - 1231*a**3 + 3036*a**2 - 3*a**5 + 7*a**3 = 0. What is a?
-2, 1, 6, 16
Let l(m) be the first derivative of -2*m**5/15 - 59*m**4/6 - 218*m**3/3 - 159*m**2 + 3321. Factor l(i).
-2*i*(i + 3)**2*(i + 53)/3
Let g(v) = 8*v**2 + 8*v + 5. Let q be g(4). Let j = 255 - q. Factor -17*k + 20*k - 57*k - 32 - j*k - 162*k**2.
-2*(9*k + 4)**2
Solve 1/2*j**2 + 15/2*j - 8 = 0.
-16, 1
Factor 0 + 410*b**2 + 9/2*b**4 + 136*b + 312*b**3.
b*(b + 68)*(3*b + 2)**2/2
Let x(o) be the first derivative of o**7/924 + o**6/110 - 2*o**5/165 - o**3 - 10*o + 56. Let l(c) be the third derivative of x(c). Factor l(d).
2*d*(d + 4)*(5*d - 2)/11
Suppose 0 = -5*g - 4*x + 1635, -95 - 243 = -g - 3*x. Let f = g - 961/3. Solve -62/15*l**3 - 2/3*l**2 + f*l**5 - 4/15 + 14/15*l**4 + 22/15*l = 0.
-1, 1/4, 2/5, 1
Let c = 579 + -571. Suppose -4*b - c = -8*b. What is m in -2/7*m**b + 4/7 + 2/7*m = 0?
-1, 2
Factor -1/6*o**5 + 98/3*o**2 + 164/3*o - 1/6*o**4 + 32 + 7*o**3.
-(o - 8)*(o + 2)**3*(o + 3)/6
Let p(r) be the first derivative of -r**3 - 5 + 0*r + 3/5*r**5 + 3/4*r**4 - 3/2*r**2. Factor p(a).
3*a*(a - 1)*(a + 1)**2
Let p(f) be the second derivative of -52*f**6/45 + 3*f**5/10 + 26*f**4/9 - f**3 + 9885*f. Determine k so that p(k) = 0.
-1, 0, 9/52, 1
Factor -27/8 - 3/8*f**2 - 15/4*f.
-3*(f + 1)*(f + 9)/8
Let k be (-6 - 222/(-33))*(22/(-44))/(-1). Factor -2/11 - k*i + 6/11*i**2.
2*(i - 1)*(3*i + 1)/11
Let b(s) be the first derivative of -5*s**3/3 + 190*s**2 + 385*s - 226. Factor b(k).
-5*(k - 77)*(k + 1)
Let y be (-8)/(-96) - (-9)/54. Factor y*w**3 - 3/4*w**2 + 3/4 - 1/4*w.
(w - 3)*(w - 1)*(w + 1)/4
Find p, given that 2/3*p**3 - 182/3*p - 20/3*p**2 - 160/3 = 0.
-5, -1, 16
Let f(y) = -y**4 + 35*y**3 + 87*y**2 + 61*y - 25. Let s(q) = 2*q**4 - 88*q**3 - 218*q**2 - 152*q + 60. Let z(j) = -12*f(j) - 5*s(j). Factor z(b).
2*b*(b + 1)*(b + 2)*(b + 7)
Let j(n) be the first derivative of -35/24*n**4 + 25 + 0*n + 8*n**2 - 5/3*n**3 + 1/3*n**5. Let m(h) be the second derivative of j(h). Factor m(b).
5*(b - 2)*(4*b + 1)
Let x = -166432/3 + 832172/15. Factor -x*n**3 + 16/5*n**2 + 48/5*n + 0.
-4*n*(n - 6)*(n + 2)/5
Let n(j) be the first derivative of -1/30*j**3 + 1/40*j**4 - 160 + 1/10*j - 1/20*j**2. Determine a so that n(a) = 0.
-1, 1
Let o(v) = -55*v**2 + 275*v + 5700. Let d(b) = 5*b**2 - 25*b - 516. Let p(t) = 45*d(t) + 4*o(t). What is z in p(z) = 0?
-7, 12
Let o(c) be the first derivative of -c**6/60 - c**5/10 - 5*c**4/24 - c**3/6 + 42*c - 96. Let h(m) be the first derivative of o(m). Factor h(t).
-t*(t + 1)**2*(t + 2)/2
Let p(n) = 5*n - 1. Let a be p(1). Suppose -w = 7*r - 4*r + 4, 2*w + 5*r + 5 = 0. Suppose -7*b - 3*b**5 - 6*b**4 + 6*b**w + a*b + 6*b**2 = 0. Calculate b.
-1, 0, 1
Let w(h) be the second derivative of -h**6/35 + 3*h**5/10 - 9*h**4/14 - h**3 + 30*h**2/7 - h - 2. Solve w(n) = 0.
-1, 1, 2, 5
Suppose -226*n + 230*n = h + 7, -n + 2*h = 0. Let r(p) be the first derivative of 0*p**3 + 3 - 4/21*p - 1/42*p**4 + 1/7*p**n. Factor r(d).
-2*(d - 1)**2*(d + 2)/21
Let z(x) = -x + 2. Let a be z(-15). Factor a + 6*d**4 - 7 + 25*d**3 + 25*d + 10*d - d**4 + 45*d**2.
5*(d + 1)**3*(d + 2)
Let l(b) be the third derivative of -b**6/120 - 26*b**5/15 - 935*b**4/8 - 867*b**3 - 19*b**2 + 2*b. Factor l(n).
-(n + 2)*(n + 51)**2
Let w be ((-1)/((-12)/63))/((-24)/(-128)). Let y(u) = u**2 + u. Let v(x) = -x - 1. Let h(g) = w*v(g) + 4*y(g). Find r, given that h(r) = 0.
-1, 7
Let l(c) be the second derivative of c**7/231 - c**6/55 - c**5/22 + c**4/22 + 4*c**3/33 - 2*c - 84. What is u in l(u) = 0?
-1, 0, 1, 4
Let q = 179/64 + -83/64. Let f(k) be the first derivative of 1/4*k**4 + 2*k + 0*k**3 - 4 - q*k**2. Factor f(y).
(y - 1)**2*(y + 2)
Let g be -1 + 6 + (-163 + 23)/28. Factor 0*b - 8/7*b**4 - 4/7*b**5 - 4/7*b**3 + g*b**2 + 0.
-4*b**3*(b + 1)**2/7
Let w be 1/(-2 - 5/(-2)). Let n(s) = -s**3 - 137*s**2 - 1825*s + 613. Let r be n(-122). Factor 0 + 2/13*f**4 + 2/13*f**w + 0*f - 4/13*f**r.
2*f**2*(f - 1)**2/13
Let o(z) be the first derivative of -z**4/12 + 5*z**3 - 225*z**2/2 + 80*z + 23. Let d(q) be the first derivative of o(q). Solve d(y) = 0 for y.
15
Let o(p) = -p**2 + 340*p + 1032. Let b(z) = 8*z**2 - 3060*z - 9278. Let u(r) = -3*b(r) - 26*o(r). Factor u(w).
2*(w + 3)*(w + 167)
Let q(k) = -k**2 - 18*k + 20. Let f be q(1). Factor 3*r - 8 - 5*r**3 + r**4 - 4 + 11 + r**2 + 2*r**3 - f.
(r - 2)*(r - 1)**2*(r + 1)
What is d in 65*d**4 - 31 + 100*d + 179 - 155*d**3 - 128 - 85*d**2 + 55*d**5 = 0?
-2, -1, -2/11, 1
Let w(n) be the third derivative of -n**7/14 - 73*n**6/24 - 107*n**5/6 - 95*n**4/6 + 140*n**3 - 3775*n**2. What is y in w(y) = 0?
-21, -2, 2/3
Let m be (-1470)/882 + 2/12*10. Let n(g) be the first derivative of -6/5*g**4 + 12/25*g**5 - 1/15*g**6 - 12 + 4/3*g**3 + m*g - 3/5*g**2. Factor n(b).
-2*b*(b - 3)*(b - 1)**3/5
Determine b so that -3/8*b**4 - 3/2*b - 9 + 27/4*b**2 - 9/8*b**3 = 0.
-6, -1, 2
Let q(k) be the second derivative of -16*k**4 - 348*k**3 - 22707*k**2/8 - 339*k + 3. Determine i so that q(i) = 0.
-87/16
Let i(f) be the second derivative of f**5/25 + 62*f**4/15 + 1496*f**3/15 - 13872*f**2/5 + 12608*f. Solve i(z) = 0 for z.
-34, 6
Let y(c) be the second derivative of c**6/90 - 47*c**5/60 + 191*c**4/12 - 437*c**3/18 - 529*c**2/3 + 1952*c. Factor y(w).
(w - 23)**2*(w - 2)*(w + 1)/3
Let p = 1115/52 - 1089/52. Let i be 2/10 - (-15)/50. Factor 0*w + i*w**4 + 0 + p*w**2 - w**3.
w**2*(w - 1)**2/2
Suppose 0 = 2*y + 3*r + 291 - 313, -5*r + 30 = 3*y. Let o(z) be the first derivative of 2/3*z**3 + 10*z**2 + y + 18*z. Factor o(l).
2*(l + 1)*(l + 9)
Suppose 0 = -3*x + 2*x + a + 6, 0 = x + a - 2. Let o = 619/1246 + 2/623. Solve 0*l + 0 + l**3 + 1/2*l**2 + o*l**x = 0.
-1, 0
Let t(h) be the first derivative o