 2. Let b(l) = 2*n(l) + 33*o(l). Factor b(u).
3*u*(u + 1)*(u + 8)
Let d(a) be the first derivative of -a**6/420 - a**5/105 - a**4/84 + 22*a**2 + 2. Let c(q) be the second derivative of d(q). Find x, given that c(x) = 0.
-1, 0
Let n(y) be the second derivative of -y**8/1344 + y**7/28 - 3*y**6/4 + 9*y**5 - 4*y**4/3 - y. Let w(q) be the third derivative of n(q). Factor w(s).
-5*(s - 6)**3
Let m(l) be the third derivative of -l**7/1680 + 13*l**6/960 - 11*l**5/96 + 25*l**4/64 - 174*l**2. Factor m(z).
-z*(z - 5)**2*(z - 3)/8
Factor 62/13*i - 2/13*i**2 - 168/13.
-2*(i - 28)*(i - 3)/13
Let j = -44 + 56. Let a be 6/j*4/6. Factor 1/3 - 1/3*d**2 - a*d + 1/3*d**3.
(d - 1)**2*(d + 1)/3
Let r(i) be the first derivative of -i**4/24 - 5*i**3/12 - i**2 - 16*i - 22. Let g(w) be the first derivative of r(w). Suppose g(y) = 0. What is y?
-4, -1
Let d(u) be the third derivative of u**5/20 + 11*u**4/8 + 14*u**3 - u**2 + 15. Determine k so that d(k) = 0.
-7, -4
Let v(y) be the second derivative of -3/20*y**3 - 1/20*y**4 + 0 + 0*y**2 - 1/200*y**5 - 25*y. Suppose v(r) = 0. Calculate r.
-3, 0
Let z(a) be the second derivative of a**6/195 + 9*a**5/65 + 47*a**4/78 + 10*a**3/13 - 147*a. Let z(f) = 0. Calculate f.
-15, -2, -1, 0
Let i(f) be the second derivative of -f**6/30 + 2*f**5/15 + f**4/6 - 4*f**3/3 + 9*f**2 + 7*f. Let z(t) be the first derivative of i(t). Factor z(l).
-4*(l - 2)*(l - 1)*(l + 1)
Suppose -2*d - 2 = 0, 204 = 5*y - 2*d - 2*d. Let l be y/32*16/130. Factor 0 - l*c - 6/13*c**2 - 2/13*c**4 - 6/13*c**3.
-2*c*(c + 1)**3/13
Let i(d) = -59*d + 64. Let t be i(19). Let r = 8469/8 + t. Factor -r*m + 1/2*m**2 + 3/8.
(m - 3)*(4*m - 1)/8
Let m(f) be the first derivative of -f**4/12 - 8*f**3/3 - 32*f**2 - 9*f + 19. Let z(o) be the first derivative of m(o). Factor z(u).
-(u + 8)**2
Suppose 0 = -i + 3*i. Suppose 3*n - 4*j = 18, -2*n - 2*j + i = 2. Solve -6*a + 6*a**3 + n*a + a**2 - 2*a**3 - 7*a**2 = 0.
-1/2, 0, 2
Let s be (3/10)/((-119)/(202300/(-240))). Factor -s*o + 3/4*o**2 - 3/8.
(o - 3)*(6*o + 1)/8
Let k(q) = -q**2 - 33*q - 63. Let v be k(-30). Let g(t) be the first derivative of 6*t**3 - v*t**2 - 2 - 1/2*t**4 + 54*t. Factor g(w).
-2*(w - 3)**3
Let y be -10*(-28)/(-630) - 4/(-9). Factor 2/3*z**5 + 0*z**4 + 2/3*z + y*z**2 - 4/3*z**3 + 0.
2*z*(z - 1)**2*(z + 1)**2/3
Let h(g) = 5*g**3 + g**2 - g + 1. Let i(x) = -26*x**3 - 15*x**2 - 2*x + 13. Let l(w) = 5*h(w) + i(w). Find d such that l(d) = 0.
-9, -2, 1
Suppose -5*o + 3*o = 4. Let c(s) = -5*s**4 - s**3 + 3*s**2 + s + 2. Let z(i) = -i**4 + i**3 - i + 1. Let j(y) = o*z(y) + c(y). Suppose j(v) = 0. What is v?
-1, 0, 1
Let n(q) be the third derivative of -q**8/168 - q**7/21 - q**6/10 + q**5/15 + 7*q**4/12 + q**3 - 137*q**2. Factor n(r).
-2*(r - 1)*(r + 1)**3*(r + 3)
Let u(h) be the first derivative of 5*h**4/4 - 5*h**3/3 - 10*h**2 + 20*h - 101. Suppose u(b) = 0. Calculate b.
-2, 1, 2
Let j = 0 + 18. Suppose v = 3*q - 8, 4*q + 2*v = -4 + j. Suppose q*a + 3/4 + 9/4*a**2 = 0. Calculate a.
-1, -1/3
Factor 1/3*d - 1/3*d**3 + 1/3*d**4 - d**2 + 2/3.
(d - 2)*(d - 1)*(d + 1)**2/3
Let h = 31/119 + 829/3213. Let s = 4/27 + h. Let -2/9*o**4 + 4/9 - 2/3*o**3 + s*o - 2/9*o**2 = 0. What is o?
-2, -1, 1
Let z be (-3)/(-5) + 2/5. Let p be 15/((-12)/(-4))*z. Factor 22*u**3 + 2*u**4 + 3*u**p - 8*u**4 - 19*u**3.
3*u**3*(u - 1)**2
Let r(b) be the second derivative of 1/210*b**5 - 1/21*b**3 + 0 + 4*b - 5/2*b**2 + 0*b**4. Let h(s) be the first derivative of r(s). Let h(p) = 0. What is p?
-1, 1
Let c be 4*(2 - (-5)/(-2))*-62. Let r be ((-6)/(-9) + c/(-168))*-4. Suppose r*u**3 + 6/7*u**2 - 8/7 + 0*u = 0. Calculate u.
-2, 1
Let p(g) be the first derivative of -g**6/1440 - g**5/80 - 5*g**4/96 - 5*g**3/3 + 6*g + 54. Let t(u) be the third derivative of p(u). Factor t(f).
-(f + 1)*(f + 5)/4
Suppose 12*q + 811 + 329 = 0. Let a be q/(-10) - 9 - 2/4. Find k such that a*k + 0*k**2 + 0 - 2/5*k**4 + 2/5*k**3 = 0.
0, 1
Let v be (16/6)/4 + (-6)/9. Let m(r) be the first derivative of 1/15*r**3 + v*r**2 - 1/25*r**5 + 0*r**4 + 0*r - 8. Factor m(s).
-s**2*(s - 1)*(s + 1)/5
Let r(u) be the third derivative of -1/18*u**3 + 0 + 0*u**4 + 0*u - 14*u**2 + 1/180*u**5. Factor r(h).
(h - 1)*(h + 1)/3
Let b(z) be the second derivative of z**9/756 + z**8/210 - z**6/45 - z**5/30 - z**3/3 - 14*z. Let r(j) be the second derivative of b(j). Solve r(k) = 0.
-1, 0, 1
Let j(b) be the second derivative of -b**5/16 + 30*b**4 - 5760*b**3 + 552960*b**2 - 116*b. Find t, given that j(t) = 0.
96
Suppose 10 = 5*d - 10. Let m = 123 + -120. Let d*i + i**2 + 2*i - 6*i + m*i = 0. What is i?
-3, 0
Let s be ((-4)/(-10) - (-98)/(-70))/(-15). Let v(m) be the first derivative of 0*m + 0*m**3 - 1/6*m**4 + 0*m**2 + 5 + s*m**5. Find l, given that v(l) = 0.
0, 2
Let s(d) be the second derivative of -d**6/90 - 7*d**5/60 - 7*d**4/18 - 4*d**3/9 + d - 4. Suppose s(g) = 0. What is g?
-4, -2, -1, 0
Factor 4/5*d**2 - 132/5*d + 0.
4*d*(d - 33)/5
Suppose -3*k = -o + 6, -5*k + 2*o - 83 + 71 = 0. Factor -2/9*i**2 + k*i + 4/9*i**3 - 2/9*i**4 + 0.
-2*i**2*(i - 1)**2/9
Factor -4/5*c**2 - 32/5 + 8*c - 4/5*c**3.
-4*(c - 2)*(c - 1)*(c + 4)/5
Let q(g) = -3*g**3 + g - 1. Let o(b) = 4*b**4 + 60*b**3 - 112*b**2 - 24*b + 24. Let x(u) = -o(u) - 24*q(u). Suppose x(a) = 0. Calculate a.
-4, 0, 7
Suppose -39/4*h**2 - 1/2*h**3 - 45*h + 25 = 0. What is h?
-10, 1/2
Let r(i) be the third derivative of 0 + 1/55*i**5 + 0*i + 0*i**3 + 1/1155*i**7 + 31*i**2 + 0*i**4 + 1/132*i**6. Determine n so that r(n) = 0.
-3, -2, 0
Let l(n) be the third derivative of -n**6/1260 + n**5/15 - 7*n**4/3 + 392*n**3/9 - 46*n**2. Factor l(g).
-2*(g - 14)**3/21
Let q = -700 + 4201/6. Let u(r) be the second derivative of 0 + 1/36*r**4 + q*r**2 + 1/9*r**3 - 4*r. Factor u(m).
(m + 1)**2/3
Let k(a) be the third derivative of -a**8/5880 - a**7/4410 + a**6/1260 - 5*a**4/4 - 28*a**2. Let c(l) be the second derivative of k(l). Let c(u) = 0. What is u?
-1, 0, 1/2
Let j be 70/(-52) + 2 + 40/(-260). Determine v, given that 1/2*v + 0*v**2 + 0 - j*v**3 = 0.
-1, 0, 1
Let u(a) be the second derivative of -2*a**7/189 + 7*a**6/270 + a**5/20 - 13*a**4/108 - 5*a**3/54 + a**2/3 - 83*a. Suppose u(y) = 0. Calculate y.
-1, 3/4, 1, 2
Let b(i) be the third derivative of -2*i**7/35 + i**6/12 + 13*i**5/30 + i**4/6 + 325*i**2 + 1. Factor b(c).
-2*c*(c - 2)*(c + 1)*(6*c + 1)
Let x(k) be the first derivative of -2*k**5/35 + k**4/2 - 22*k**3/21 + 5*k**2/7 - 102. Find a, given that x(a) = 0.
0, 1, 5
Suppose 7*b = -19*b - 1820. Let d be (-2 - 20/25)*b/12. What is v in -d*v**5 - 67/3*v**3 - 119/3*v**4 + 23/3*v**2 - 4/3 + 16/3*v = 0?
-1, 2/7
Find a such that 12/13*a**2 - 10/13*a**3 + 0 + 2/13*a**4 + 0*a = 0.
0, 2, 3
Let w(i) be the third derivative of -i**7/210 + i**6/2 - 20*i**5 + 1000*i**4/3 - 71*i**2. Determine r, given that w(r) = 0.
0, 20
Let m(j) be the second derivative of -j**6/330 + j**5/22 - 23*j**4/132 + 7*j**3/33 - 2*j + 10. Factor m(u).
-u*(u - 7)*(u - 2)*(u - 1)/11
Let b(y) = 4*y - 2. Let c be b(4). Suppose -4*q + 2 = -2*z - 6, 4*z + 2*q - c = 0. What is r in -2/5*r**3 + 2/5*r - 4/5*r**z + 4/5 = 0?
-2, -1, 1
Let j be ((-50)/150)/((-1)/10). Suppose 11/6*b**3 - 2/3 + 13/6*b**2 - j*b = 0. What is b?
-2, -2/11, 1
Let y(o) = 4*o + 18. Let f be y(-4). Let p be (0/3 + 0)/f. What is w in 4/5*w - 2/5*w**4 - 4/5*w**3 + p*w**2 + 2/5 = 0?
-1, 1
Let y(v) = 3*v**2 + 4*v - 1. Let p(f) = f**2 - 8*f + 9. Let s be p(7). Let t(o) = -4*o**2 - 5*o + 2. Let z(u) = s*t(u) + 3*y(u). Let z(i) = 0. Calculate i.
-1
Let z = 9433/6 - 1572. Let w(i) be the second derivative of -1/9*i**3 + 1/36*i**4 + 0 - 3*i + z*i**2. Factor w(x).
(x - 1)**2/3
Suppose 3*d - y = -45 - 61, -3*y = -4*d - 143. Let k = d - -39. Factor -4/13 - 10/13*v - 6/13*v**2 + 2/13*v**k + 2/13*v**3.
2*(v - 2)*(v + 1)**3/13
Let v(x) be the second derivative of -2*x**6/15 + 11*x**5/5 - 13*x**4 + 30*x**3 + 71*x. Factor v(g).
-4*g*(g - 5)*(g - 3)**2
Let i be -2 + (-1 - 6/(-2)). Suppose i = 44*h - 43*h. Factor h + 2/3*w**2 + 1/3*w**5 + 0*w**3 - 2/3*w**4 - 1/3*w.
w*(w - 1)**3*(w + 1)/3
Let f be 8/(512/(-276)) - -4. Let p = 3/16 - f. Factor -p*a**2 + 3/2 + a.
-(a - 3)*(a + 1)/2
Let y = -29 - -24. Let o be 19/(-7) + -1 + (-1 - y). Find j, given that 2/7*j**2 - 2/7*j - 2/7*j**4 + 0 + o*j**3 = 0.
-1, 0, 1
Suppose 0 = -t - 2, 2*d - 9 = -d - 3*t. L