 + w + 1/3*p**2 = 0.
-1
Let c(d) be the second derivative of -d**5/5 + 8*d**4/3 + 8*d**3/3 - 64*d**2 + 378*d. Factor c(a).
-4*(a - 8)*(a - 2)*(a + 2)
Let g(i) be the first derivative of i**7/1050 - i**5/300 - 6*i**2 + 9. Let h(n) be the second derivative of g(n). Determine z, given that h(z) = 0.
-1, 0, 1
Let a be (-3)/(-4 - (-4)/(100/85)). Suppose -3*h - 4*p = -20, -4*h + a = -2*h + p. Factor 0 + h*j**2 + 2/3*j - 2/3*j**3.
-2*j*(j - 1)*(j + 1)/3
Let p(f) = 31 - 66 + 43 + 7*f**2 - 15*f. Let c(r) be the second derivative of 11*r**4/6 - 23*r**3/3 + 12*r**2 + r. Let b(v) = -3*c(v) + 10*p(v). Factor b(s).
4*(s - 2)*(s - 1)
Let i(p) = p + 17. Let u be i(-13). Let z(j) = j**2 + 2*j - 4. Let s be z(-4). Factor 5*r**4 - 3*r**u + r**s + 2*r**3 + r**4.
2*r**3*(2*r + 1)
Suppose 74 - 59 = -5*u. Let o be 3 + 8/u + 1. Factor o*k**4 - 2*k**3 - 1/3*k**5 + 4/3*k**2 + 0 - 1/3*k.
-k*(k - 1)**4/3
Let u be 8/(-20) - (0 - (-1104)/(-465)). Let a = -24/31 + u. Find b, given that -3/5*b**2 + a + 3/5*b = 0.
-1, 2
Let k = 12 + -7. Find q such that q**5 - q**5 - 13*q**4 - 2*q**k + 17*q**2 - 3*q**5 - 4 + q**3 + 4*q = 0.
-2, -1, 2/5, 1
Let f(o) be the third derivative of -o**5/12 - 10*o**4/3 - 160*o**3/3 - 43*o**2. Factor f(v).
-5*(v + 8)**2
What is x in -3*x**2 + 44*x - x**2 + x**2 - 81 + 0*x**2 - 8*x = 0?
3, 9
Suppose -2*r - 17 = -3*z - 7, z + 4*r = -6. Let f be (-147)/(-15) + 20/(-25). What is s in f*s**4 - 4*s**5 - 34*s**3 + 43*s**3 + 7*s**5 + 3*s**z = 0?
-1, 0
Let p be (-57827)/(-10472) - 3/(-24). Find q, given that p*q + 2/17*q**5 + 2/17*q**4 - 2/17*q**2 - 26/17*q**3 - 72/17 = 0.
-3, 1, 2
Let w(t) = -5*t - 59. Let i be w(-13). Let k(o) = 16*o - 93. Let a be k(i). Factor -2/3*z**2 + 2/3 - 4/3*z + 4/3*z**a.
2*(z - 1)*(z + 1)*(2*z - 1)/3
Suppose 149*y - 4 = 113*y + 68. Suppose 1/3*u**y + 4/3*u + 0 = 0. Calculate u.
-4, 0
Factor 26/5 - 10*v - 4/5*v**2.
-2*(v + 13)*(2*v - 1)/5
Let b(v) be the second derivative of v**6/2520 - 13*v**5/840 - v**4/12 + 2*v**3 - v - 2. Let h(j) be the second derivative of b(j). Let h(o) = 0. What is o?
-1, 14
Factor -3/8*f**3 + 27/4*f**2 - 99/8*f + 6.
-3*(f - 16)*(f - 1)**2/8
Solve 0*l + 0*l**2 + 0*l**4 + 1/3*l**5 - 1/3*l**3 + 0 = 0.
-1, 0, 1
Let v(d) be the third derivative of -d**5/360 - 5*d**4/144 - d**3/6 - 2*d**2 + 3. Factor v(i).
-(i + 2)*(i + 3)/6
Let p be (-54)/8*(-16)/6. Suppose 0 = 2*r - 8, -5*v - 3*r + p = -r. Find k such that k + 0*k + 0*k - 4*k**2 + 3*k**v = 0.
0, 1
Let p = -371 - -374. Factor 2000/3*t**4 - 355/3*t**2 + 200*t**p + 20/3 - 20*t.
5*(4*t - 1)**2*(5*t + 2)**2/3
Factor -37/3*d + 1369/6 + 1/6*d**2.
(d - 37)**2/6
Let l(o) be the third derivative of 1/18*o**3 - 1/30*o**5 + 1/24*o**4 - 1/112*o**8 - 23*o**2 + 0 + 1/30*o**7 - 1/36*o**6 + 0*o. Determine g so that l(g) = 0.
-1/3, 1
Let z(f) = -f**3 - 4*f**2 + 5*f + 2. Let j be z(-5). Let n = 11 + -9. Solve -9*g**3 + 4*g**4 - n*g**j + g**3 + 8*g - 6*g**2 + 4*g**2 = 0.
-1, 0, 1, 2
Let u(d) be the third derivative of d**8/42 + 34*d**7/735 - 13*d**6/210 - 19*d**5/105 - d**4/42 + 4*d**3/21 - 53*d**2 - 1. Solve u(z) = 0.
-1, -1/2, 2/7, 1
Suppose 7*b + 2 = 8*b. Suppose 3*d = -9, g - 5*g - b*d = -26. Determine p so that p**2 + 0*p**2 + 3*p**2 - g*p + 0*p**2 + 4 = 0.
1
Let o(n) be the first derivative of n**4/32 + n**3/3 - 45*n**2/16 + 9*n/2 + 545. Factor o(h).
(h - 3)*(h - 1)*(h + 12)/8
Let n be -5 + 3/8*276/18. Suppose 4*p + 1 - 13 = 0. Factor 0*b + 1/4*b**p - n*b**2 + 1.
(b - 2)**2*(b + 1)/4
Let h = 52/213 - -30/71. Factor 2/3*b**2 - 2/3*b + h*b**3 - 2/3*b**4 + 0.
-2*b*(b - 1)**2*(b + 1)/3
Let i = -7 + 9. Suppose -2*f + 5*h - 15 = 0, -3*f + i = 4*h - 10. Let -3 + 0*r + f*r**2 - 4*r - 2*r**2 + r**2 = 0. What is r?
-3, -1
Let t(x) be the first derivative of -3*x**5/5 - 15*x**4/2 + 75*x**3 + 750*x**2 - 7500*x - 104. Let t(k) = 0. Calculate k.
-10, 5
Let -8/3*n**4 + 202/3*n - 82/3*n**3 + 44/3 + 28*n**2 = 0. What is n?
-11, -1, -1/4, 2
Let j(l) = l**3 - l**2 - l + 1. Let w(y) = 3*y**5 + 21*y**4 + 40*y**3 + 44*y**2 + 17*y - 5. Let d(z) = -5*j(z) - w(z). Factor d(r).
-3*r*(r + 1)**3*(r + 4)
Let r(f) be the first derivative of 0*f**2 - 11*f**4 + 31 - 14/3*f**6 + 0*f - 8/3*f**3 - 64/5*f**5. Factor r(n).
-4*n**2*(n + 1)**2*(7*n + 2)
Let n(j) be the third derivative of j**6/660 + 2*j**5/165 - j**4/12 + 2*j**3/11 - 476*j**2. Factor n(m).
2*(m - 1)**2*(m + 6)/11
Let q = 282 + -278. Factor 2/5*m + 6/5*m**2 + 6/5*m**3 + 0 + 2/5*m**q.
2*m*(m + 1)**3/5
Let i(w) be the third derivative of 0 + 0*w + 0*w**5 - 1/80*w**6 + 1/280*w**7 + 8*w**2 + 0*w**4 + 0*w**3. Factor i(j).
3*j**3*(j - 2)/4
Let p(x) be the first derivative of 4*x**3 - 48*x + 352*x**2 - x**4 + 8 + 0*x**4 - 695*x**2 + 351*x**2. Factor p(m).
-4*(m - 3)*(m - 2)*(m + 2)
Let h = -8 + 18. Let t be (-48)/(-20) + (-4)/h. Factor 0*g**3 - 2*g**t - 3*g - 2*g**3 + g + 2*g**4 + 4*g.
2*g*(g - 1)**2*(g + 1)
Let m(z) be the second derivative of -17*z + 0 - 10/3*z**3 - 5/4*z**2 - 10/3*z**4. Suppose m(h) = 0. What is h?
-1/4
Find q such that -8*q**3 - 2/3*q**4 - 52*q + 118/3*q**2 + 64/3 = 0.
-16, 1, 2
Suppose -5*y + 35 = -5*l, y = -4*l - 20 + 2. Factor 4/3 + 2/3*z**y - 2*z.
2*(z - 2)*(z - 1)/3
Let b(y) be the first derivative of -y**4/4 - 79*y**3/3 + 218. Suppose b(m) = 0. Calculate m.
-79, 0
Let y(c) = c**3 + 22*c**2 - c - 18. Let m be y(-22). Let k(w) be the second derivative of -1/6*w**3 + 1/6*w**m + 1/20*w**5 - w**2 + 0 + 5*w. Factor k(p).
(p - 1)*(p + 1)*(p + 2)
Let a = -572 - -5150/9. Suppose -1/9*s**3 + 4/9*s**2 + a - 5/9*s = 0. What is s?
1, 2
Let o = -1352 + 16225/12. Let q(v) be the first derivative of -o*v**3 - 14 + 1/4*v + 0*v**2. Factor q(g).
-(g - 1)*(g + 1)/4
Let r(l) be the second derivative of -64/17*l**2 + 16/51*l**3 + 1/255*l**6 + 16*l + 0 + 6/17*l**4 + 11/170*l**5. Let r(a) = 0. What is a?
-4, 1
Let v(b) be the first derivative of -b**8/11760 + b**7/1470 - b**6/504 + b**5/420 + 2*b**3 - 5. Let c(f) be the third derivative of v(f). Factor c(n).
-n*(n - 2)*(n - 1)**2/7
Let u be 32/12*6/4. Suppose u*q - 72 = 4. Let a**5 + q*a**4 - 3*a - 13*a**4 - 6*a**2 + 2*a**5 = 0. What is a?
-1, 0, 1
Let g = -140 + 63. Let y be 64/112 + (-26)/g. Factor -4/11 + 2*p - y*p**4 - 42/11*p**2 + 34/11*p**3.
-2*(p - 1)**3*(5*p - 2)/11
Let n(d) be the third derivative of -d**5/15 - 2*d**4 - 24*d**3 + 3*d**2 + d. Factor n(q).
-4*(q + 6)**2
Let o be 3/(-2)*((-14)/(-6) + -5). Suppose -5*v**5 + v**5 - v**o + 4*v**3 - 8*v**3 - 7*v**4 = 0. Calculate v.
-1, 0
Let i be (3/(-9))/((-1)/18). Suppose -3*x - 3*d + 2*d + 17 = 0, 3*d = 4*x - 1. Let 3*c**x - 9*c**2 + c**3 + 0*c**4 - 15*c - i + 2*c**3 = 0. What is c?
-1, 2
Let h be -4 + (-2796)/(-720) - (-2)/10. Let r(f) be the second derivative of -3*f + h*f**4 + 0 + 1/6*f**2 + 2/9*f**3. Solve r(s) = 0.
-1, -1/3
Let x(n) = -n**2 - 3*n. Let c(m) = -10*m**2 - 12*m + 5. Let p(o) = 9*o**2 + 13*o - 4. Let i(k) = 3*c(k) + 4*p(k). Let d(t) = 6*i(t) + 33*x(t). Factor d(z).
3*(z - 2)*(z + 1)
Determine l, given that -4/9*l**2 - 2/9*l**4 + 2/3 + 8/9*l**3 - 8/9*l = 0.
-1, 1, 3
Suppose -90 + 50 = -10*x. Let d(j) be the second derivative of 0 - 2/3*j**3 + 1/6*j**x + j**2 + 9*j. Let d(k) = 0. Calculate k.
1
Suppose 0 = 2*p + 17*p. Let n(l) be the second derivative of 1/6*l**3 - 1/40*l**6 + 3*l + p - 11/80*l**5 - 1/6*l**4 + 0*l**2. Factor n(h).
-h*(h + 2)**2*(3*h - 1)/4
Let n(g) be the second derivative of 7*g**6/1980 + g**5/55 - g**4/33 - 3*g**3 - 23*g. Let l(s) be the second derivative of n(s). Factor l(q).
2*(q + 2)*(7*q - 2)/11
Factor 9/7*y**2 + 11/7 + 3*y - 1/7*y**3.
-(y - 11)*(y + 1)**2/7
What is i in -11/6*i**4 + 0 - 44/3*i**3 - 26/3*i**2 + 3/2*i**5 + 8/3*i = 0?
-2, -1, 0, 2/9, 4
Let l(t) be the second derivative of t**4/72 - 2*t**3/9 + t**2 + 101*t. Factor l(g).
(g - 6)*(g - 2)/6
Let r be 8 + 5 + -4 + 95/(-15). Factor -r*o - 2/3*o**4 + 4/3*o**3 + 2*o**2 - 8/3.
-2*(o - 2)**2*(o + 1)**2/3
Let a(r) = r**2 - r + 1. Let u(i) = -i**3 + 9*i**2 + 9*i + 11. Let m(j) = -4*a(j) + u(j). Factor m(d).
-(d - 7)*(d + 1)**2
Let v = -16 + 21. Suppose v*q - 10 = -0. Find l such that -10*l**2 + 7*l**q + 12 + 0 = 0.
-2, 2
Factor 2*t**4 + 12 - 9*t**2 - 7360*t + 7364*t - t**4.
(t - 2)**2*(t + 1)*(t + 3)
Let u(n) be the first derivative of 2*n**4 + 28*n**3/3 + 6*n**2 + 119. Find t such that u(t) = 0.
-3, -1/2, 0
Solve 0 - 2/11*m**3 - 8/11*m**2 - 6/11*m = 0