36. Solve -49*a + w*a - 3*a**2 - 73 - a**2 + 9 = 0.
-4
Suppose -3*m - 5*f + 0*f = 85, -2*f - 79 = 3*m. Let a(g) = -g**2 + 14*g + 11. Let t(l) = -5*l**2 + 85*l + 65. Let b(q) = m*a(q) + 4*t(q). Factor b(h).
5*(h - 3)*(h + 1)
Let h be -1 + 0 - (3 - (9 - 2)). Let c be h + -2 - 1/2. Factor -1/2*q**3 + c + 1/2*q - 1/2*q**2.
-(q - 1)*(q + 1)**2/2
Let t be 1*-2*6/(-4). Determine g so that -3*g - 2*g**3 - 47*g**2 + 41*g**2 - g**t = 0.
-1, 0
Let p(o) be the first derivative of 50653*o**6/18 + 46546*o**5/15 - 333*o**4 + 110*o**3/9 - o**2/6 - 493. Find j, given that p(j) = 0.
-1, 0, 1/37
Let d(k) be the first derivative of -2*k**3/3 + 3*k**2 - 75. Factor d(n).
-2*n*(n - 3)
Let a(p) be the second derivative of p**5/30 + p**4/3 + 4*p**3/3 + 8*p**2/3 + 34*p - 3. Find q, given that a(q) = 0.
-2
Factor -1984/5*x + 3892/5*x**2 - 196*x**3 + 272/5.
-4*(5*x - 17)*(7*x - 2)**2/5
Let p be ((-132)/462)/(2/(-28)). Let q(k) be the second derivative of 1/3*k**2 + 7/90*k**6 - 1/4*k**p - 3*k + 5/18*k**3 + 0 - 1/12*k**5. Factor q(w).
(w - 1)**2*(w + 1)*(7*w + 2)/3
Let r(g) be the third derivative of 2*g - 11/6*g**4 - 4/5*g**5 - 4*g**2 + 0 + 2/3*g**3. Factor r(u).
-4*(u + 1)*(12*u - 1)
Let r(l) be the third derivative of 4*l**7/105 - 11*l**6/20 + 46*l**5/15 - 31*l**4/4 + 6*l**3 + 13*l**2 - 2*l. Factor r(g).
2*(g - 3)**2*(g - 2)*(4*g - 1)
Suppose -46*p + 4 = -48*p. Let b be ((-5)/(-75)*5)/(p/(-12)). Solve 4/7 - 2/7*u - 2/7*u**b = 0.
-2, 1
Factor -14 + 2*p**2 - 7 + p + 3 + 15*p.
2*(p - 1)*(p + 9)
Let v(o) = 8*o**4 + 4*o**3 + 4*o**2 - 8*o - 8. Suppose -l + 4*l = -12. Let g(c) = -7*c**4 - 5*c**3 - 3*c**2 + 8*c + 7. Let u(z) = l*g(z) - 3*v(z). Factor u(n).
4*(n - 1)*(n + 1)**3
Let s(w) be the first derivative of -w**6/2 + 18*w**5/5 - 9*w**4 + 10*w**3 - 9*w**2/2 + 56. Suppose s(q) = 0. Calculate q.
0, 1, 3
Let k(i) be the second derivative of i**4/4 + 9*i**3/2 + 12*i**2 + 84*i. Factor k(a).
3*(a + 1)*(a + 8)
What is p in 2/9*p**3 + 2/3*p + 0 + 8/9*p**2 = 0?
-3, -1, 0
Let o = 65/51 - 121/255. Suppose -2/5*z**2 + 0 + o*z = 0. Calculate z.
0, 2
Let p be (-2)/(-16) - (-117)/1560 - 0. Factor -p*w**3 + 1/5*w**4 + 2/5 + 1/5*w - 3/5*w**2.
(w - 2)*(w - 1)*(w + 1)**2/5
Let x(w) be the first derivative of -2*w**3/21 + 9*w**2/7 - 4*w - 586. Factor x(f).
-2*(f - 7)*(f - 2)/7
Let b(x) be the first derivative of -15/2*x**2 - 75/2*x - 1/2*x**3 - 9. Determine w so that b(w) = 0.
-5
Let c(q) be the third derivative of -q**8/53760 + q**7/6720 - q**6/2880 + q**4/12 - 3*q**2. Let g(j) be the second derivative of c(j). Let g(p) = 0. What is p?
0, 1, 2
Find z, given that -5*z**3 - 185*z**2 - 57*z - 359*z - 340 - 104*z = 0.
-34, -2, -1
Factor 10*a**3 - 162*a**2 + 19*a + a + 23*a + 28*a**2 + 9*a.
2*a*(a - 13)*(5*a - 2)
Let r(p) be the third derivative of p**8/15120 + p**7/315 + p**6/15 + 7*p**5/30 + 24*p**2. Let d(w) be the third derivative of r(w). Solve d(c) = 0 for c.
-6
Let -3 + 11*d - 10/3*d**2 = 0. What is d?
3/10, 3
Let l(d) be the third derivative of d**8/1176 - 11*d**7/735 + 3*d**6/35 - 8*d**5/105 - 16*d**4/21 - 179*d**2. Factor l(a).
2*a*(a - 4)**3*(a + 1)/7
Let m(l) be the third derivative of l**7/70 - 7*l**6/40 + 9*l**5/10 - 5*l**4/2 + 4*l**3 - 59*l**2. Factor m(w).
3*(w - 2)**3*(w - 1)
Suppose -4*y**3 - 31*y**3 + y**4 - 16*y + 16*y**2 - 4*y**2 + 51*y - 13*y**2 = 0. What is y?
-1, 0, 1, 35
Let p(v) be the second derivative of -v**8/336 + v**7/84 - v**6/72 + v**3 + 12*v. Let y(o) be the second derivative of p(o). Factor y(f).
-5*f**2*(f - 1)**2
Let v be (4 - 0) + (1 - 5). Let f be (v/4)/4 + 3. Find q, given that -5*q**3 + 4*q + 8*q**2 + 5*q**3 - 8 - 4*q**f = 0.
-1, 1, 2
Let b(t) be the third derivative of -t**6/60 + 4*t**5/5 + 508*t**2. Determine h, given that b(h) = 0.
0, 24
Let w(c) be the second derivative of -1/70*c**6 + 0*c**4 + 10*c + 9/140*c**5 + 0*c**2 + 0 - 2/7*c**3. Find r such that w(r) = 0.
-1, 0, 2
Let d(p) be the third derivative of p**8/112 - p**7/70 + 3*p**2 + 9. Factor d(k).
3*k**4*(k - 1)
Let 2/3*b**4 + 40/3*b**3 + 0*b + 0 + 24*b**2 = 0. Calculate b.
-18, -2, 0
Let d(r) = -4*r - 17. Let q be d(-4). Let y(c) = -c. Let l(i) = 2*i**2 + 4*i. Suppose x = -2*x - 6. Let v(f) = q*l(f) + x*y(f). Factor v(s).
-2*s*(s + 1)
Let i(m) be the first derivative of 2*m**5/25 - m**4/5 - 2*m**3/3 + 6*m**2/5 - 10. Factor i(k).
2*k*(k - 3)*(k - 1)*(k + 2)/5
Let x(j) be the first derivative of j**7/1400 - j**6/200 + j**5/100 + j**3 + 14. Let h(k) be the third derivative of x(k). Factor h(p).
3*p*(p - 2)*(p - 1)/5
Solve 0*f + 1/3*f**3 + 1/3*f**4 + 0 - 2/3*f**2 = 0.
-2, 0, 1
Let p = 4507/21 - 643/3. Factor 2/7*n**2 - p + 0*n.
2*(n - 1)*(n + 1)/7
Let y(b) be the first derivative of 2*b**5/65 - 17*b**4/26 - 38*b**3/13 - 59*b**2/13 - 40*b/13 - 136. Factor y(f).
2*(f - 20)*(f + 1)**3/13
Let y(n) be the third derivative of -n**5/120 + n**3/12 - 115*n**2. Factor y(x).
-(x - 1)*(x + 1)/2
Let j(d) be the second derivative of d**6/540 - d**5/6 + 25*d**4/4 + d**3/6 - 2*d**2 + 21*d. Let p(o) be the second derivative of j(o). Factor p(k).
2*(k - 15)**2/3
Let w = 721 + -134829/187. Let l = 368/561 - w. Factor 0*c + 0 + l*c**2 - 2/3*c**4 + 0*c**3.
-2*c**2*(c - 1)*(c + 1)/3
Factor 8*k**2 - 17*k**4 + 53 - 8*k**3 + 53 - 102 + 12*k + 5*k**4 - 4*k**5.
-4*(k - 1)*(k + 1)**4
Let t(a) be the first derivative of a**6/504 + a**5/105 + a**4/56 - 14*a**3/3 + 2*a - 31. Let n(l) be the third derivative of t(l). Let n(c) = 0. Calculate c.
-1, -3/5
Let y(o) be the second derivative of 0*o**2 + 1/30*o**7 + 23/100*o**5 + 0 - 1/60*o**4 + 19*o - 1/5*o**3 + 1/6*o**6. Let y(k) = 0. What is k?
-2, -1, 0, 3/7
Let g be (16/(-48))/(2/4) + 0. Let n = 4/3 + g. Factor 2/3*l**2 - n*l**3 + 0 + 2/3*l - 2/3*l**4.
-2*l*(l - 1)*(l + 1)**2/3
Let r(k) = -8*k**2 - 9*k - 13. Let j(d) = -d**2 - 2*d - 1. Let g(z) = -14*j(z) + 2*r(z). Find y, given that g(y) = 0.
2, 3
Let z = 97 - 2327/24. Let j(a) be the second derivative of z*a**3 - 1/168*a**7 + 0*a**2 + 0 + 1/24*a**4 + 0*a**5 + 6*a - 1/60*a**6. Factor j(h).
-h*(h - 1)*(h + 1)**3/4
Let q(f) be the third derivative of f**7/840 + f**6/80 + f**5/80 - 5*f**4/48 + 2*f**2 - 24. Factor q(p).
p*(p - 1)*(p + 2)*(p + 5)/4
Let v(d) be the first derivative of -d**4/8 + 26*d**3 - 2028*d**2 + 70304*d + 357. Let v(i) = 0. Calculate i.
52
Let u(b) = 7*b**4 - 7*b**3 + 5. Let q(j) = -3*j**4 + 3*j**3 - 2. Let l be (-4)/(-28)*-2 - 136/14. Let p(s) = l*q(s) - 4*u(s). Let p(i) = 0. What is i?
0, 1
Let y = -62/29 + 484/145. Factor 0 - 6/5*r**2 + 0*r**3 + y*r**4 - 3/5*r + 3/5*r**5.
3*r*(r - 1)*(r + 1)**3/5
Let l = 679/5 - 631/5. Determine i so that 27/5 + 63/5*i + l*i**2 + 12/5*i**3 = 0.
-3/2, -1
Let l be 0/(1 - 5) - 10/(-2). Factor 8*d**3 + d**l - d**4 + 7*d**3 - 1 + d - 17*d**3 + 2*d**2.
(d - 1)**3*(d + 1)**2
Factor -32*p + 19*p**2 - 70*p + 2*p**2 - 3*p**2 - 15*p**2.
3*p*(p - 34)
Let m(z) be the second derivative of 33*z - 2/3*z**3 + 1/5*z**5 + 0 + 1/3*z**4 - 2*z**2. What is c in m(c) = 0?
-1, 1
Suppose -2*g = -v + 46, 0 = v - 6*v + g + 239. Let k be 1/3 - -5*4/v. Factor 1/2*b**3 + 1/4*b**5 + 1/2*b**2 - 3/4*b**4 + 1/4 - k*b.
(b - 1)**4*(b + 1)/4
Let n(b) be the third derivative of b**7/3150 - b**6/1800 - b**5/300 - 11*b**4/12 - b**2. Let d(p) be the second derivative of n(p). Factor d(h).
2*(h - 1)*(2*h + 1)/5
Let j(m) be the second derivative of 0 - 9/2*m**2 - 1/4*m**4 + 11*m + 2*m**3. Factor j(w).
-3*(w - 3)*(w - 1)
Let i = -475 + 475. Let q(f) be the third derivative of i*f**3 - 1/84*f**4 + 0 - f**2 - 3/35*f**6 - 2/35*f**5 + 0*f. Factor q(n).
-2*n*(6*n + 1)**2/7
Let l(t) be the first derivative of -2/3*t**3 - 1 + 2*t - 1/2*t**4 + t**2. Determine m so that l(m) = 0.
-1, 1
Factor -1/3*s**5 - 5/3*s**4 + 0*s + 0*s**2 - 2*s**3 + 0.
-s**3*(s + 2)*(s + 3)/3
Let c(g) be the second derivative of 0*g**2 + 1/60*g**4 + 0 + 6*g + 0*g**3. Find z such that c(z) = 0.
0
Let -4/5*g**3 - 76/5*g + 24 - 8*g**2 = 0. Calculate g.
-6, -5, 1
Suppose 3*v = -4*t - 0 - 6, 5*t + 21 = 3*v. Suppose 2*i = -8*i + 40. Factor v*d**2 + d + 5*d - i*d.
2*d*(d + 1)
Let m(g) be the second derivative of 0*g**2 + 1/20*g**4 + 13*g + 0*g**3 - 1/50*g**6 + 3/100*g**5 + 0 - 1/70*g**7. Factor m(p).
-3*p**2*(p - 1)*(p + 1)**2/5
Find l such that -3*l + 2*l**4 - 14/3*l**3 + 16/3*l**2 + 2/3 - 1/3*l**5 = 0.
1, 2
Suppose 0*y + 9 = -w + 3*y, -4*w + 4 = -4*y. Let t(s) be