74565/6 + -158187/2. Find l such that 0 - o*l**2 - 4/3*l + 2/3*l**3 = 0.
-1, 0, 2
Factor 248 + 136/3*y + 2/3*y**2.
2*(y + 6)*(y + 62)/3
Let h(y) be the second derivative of -y**6/540 + 13*y**5/180 - y**4/3 - 13*y**3/2 + 2*y - 15. Let p(s) be the second derivative of h(s). Solve p(g) = 0.
1, 12
Let a = 386 + -518. Let g be a/(-30) + -11 - -8. Factor 1/5*b**4 - 3/5*b**2 - 3/5*b**3 + g*b + 6/5.
(b - 3)*(b - 2)*(b + 1)**2/5
Let n(r) be the first derivative of -r**6/4 + 18*r**5/5 - 81*r**4/4 + 56*r**3 - 315*r**2/4 + 54*r + 7149. Suppose n(q) = 0. Calculate q.
1, 3, 4
Let z = 300 - 298. Suppose -16*x**5 - 2216*x**3 + 0*x - 28*x**4 + 4*x**z + 0*x + 2226*x**3 = 0. Calculate x.
-2, -1/4, 0, 1/2
Factor 73 - 8*f**2 + 63 - 6*f**2 + 2 - 52*f + 16*f**2.
2*(f - 23)*(f - 3)
Factor 31*j + 2/5*j**3 + 156/5 - 313/5*j**2.
(j - 156)*(j - 1)*(2*j + 1)/5
Suppose -2326 + 2557 = 33*s. Let l(i) be the first derivative of -i**2 + 1/9*i**3 + 0*i - s. Suppose l(j) = 0. Calculate j.
0, 6
Suppose 0 = 3*q + 3*i - 39 + 15, -3*q = 4*i - 25. Let k(s) be the first derivative of -8/51*s**3 - 1/34*s**4 + q - 4/17*s**2 + 0*s. Factor k(z).
-2*z*(z + 2)**2/17
Factor -94/3*b - 12*b**2 - 2/3*b**3 - 20.
-2*(b + 1)*(b + 2)*(b + 15)/3
Let c(j) = -55*j**3 - 27*j**2 + 201*j - 49. Let l(q) = -4*q**3 + q**2 + 1. Let o(m) = -c(m) + 5*l(m). Factor o(g).
(g + 3)*(5*g - 9)*(7*g - 2)
Let u = 115313 - 115310. Factor -25/3*o + 5/3*o**2 + 5/3*o**u + 5.
5*(o - 1)**2*(o + 3)/3
Let v be 471/785*(-1 - 26/(-18)). Let h(g) be the second derivative of -2*g + 0 + 2/25*g**5 - 1/5*g**3 - 9/5*g**2 + v*g**4. Determine w so that h(w) = 0.
-3/2, 1
Let p be (51 - 52) + (1 - -3). Let y(l) be the first derivative of 9*l + 1/3*l**3 - p*l**2 - 27. Determine i so that y(i) = 0.
3
Let y(n) be the third derivative of -n**2 - 1/30*n**6 - 15*n + 0 + 5/6*n**4 - 7/15*n**5 + 50*n**3. Factor y(j).
-4*(j - 3)*(j + 5)**2
Find f, given that 75*f**3 - 16*f**2 + 1281*f + 139*f**2 + 84*f**3 - 236*f**3 + 3969 + 80*f**3 = 0.
-27, -7
Let p = 2591 + -2589. Let k(f) be the first derivative of 0*f + 12 + 3/8*f**4 + 9/2*f**p + 7/2*f**3. Solve k(n) = 0 for n.
-6, -1, 0
Let g be 78/(-663) - (-644)/272. Let r(p) be the first derivative of -3/8*p**4 - 3 + 0*p**3 + g*p**2 + 3*p. Suppose r(z) = 0. What is z?
-1, 2
Let c = 86 + -78. Suppose -79*i + 81*i - c = 0. Suppose 74*d**3 + 72*d**3 - 215*d**i - 41*d**3 + 105*d**5 + 6*d**2 + 9*d**2 - 10*d = 0. What is d?
-2/7, 0, 1/3, 1
Suppose 0 = 3752*i - 4847 - 6409. Factor -20/3*z**i - 48*z**2 - 144*z - 144 - 1/3*z**4.
-(z + 2)*(z + 6)**3/3
Let a be 0/((-10 + 1)/(-9)). Let w(x) be the second derivative of 0*x**2 + 0 + 1/60*x**4 + 0*x**3 + a*x**5 - 1/150*x**6 - 9*x. Factor w(z).
-z**2*(z - 1)*(z + 1)/5
Let d be (-7 - (-8822)/55)/(4/5). Let p = -191 + d. Find m such that -p*m + 0 - 27*m**4 - 15/2*m**2 - 99/4*m**3 = 0.
-1/3, -1/4, 0
Factor 54/11*m + 4*m**3 + 76/11*m**2 + 14/11 + 6/11*m**4 - 2/11*m**5.
-2*(m - 7)*(m + 1)**4/11
Let z(t) be the third derivative of t**8/2184 + 16*t**7/1365 - t**6/20 - 9*t**5/65 - 52*t**2. Solve z(i) = 0.
-18, -1, 0, 3
Let j(z) be the third derivative of 0 + 1/4*z**6 + 44*z**2 + 2*z**5 + 15/2*z**3 + 0*z + 65/12*z**4 - 1/42*z**7. Factor j(h).
-5*(h - 9)*(h + 1)**3
Let g(l) = 5*l + 6. Let s be (5 - 4 - 1)/2. Let u be g(s). Factor -10*d**2 - 3*d**3 - 15*d - 6 - u*d**2 + 4*d**2.
-3*(d + 1)**2*(d + 2)
Let d(w) be the third derivative of 46*w**2 - 1/5*w**6 + 0 + 4/63*w**7 + 0*w - 1/144*w**8 + 8/45*w**5 + 2/9*w**4 + 0*w**3. Factor d(i).
-i*(i - 2)**3*(7*i + 2)/3
Let n(p) be the first derivative of -2*p**5/5 + 15*p**4/2 - 42*p**3 + 85*p**2 - 72*p - 1733. Let n(l) = 0. Calculate l.
1, 4, 9
Suppose -5*u = -108 + 103, 0 = 2*n + u - 5. Factor -3/2*i**4 - 3*i**3 + 0 + 3*i + 3/2*i**n.
-3*i*(i - 1)*(i + 1)*(i + 2)/2
Let z(o) be the second derivative of o**7/504 - 7*o**6/24 + 147*o**5/8 - 17*o**4/12 - 73*o. Let m(w) be the third derivative of z(w). Let m(g) = 0. What is g?
21
Let s = 10/1681 - 253881/8405. Let c = s - -31. Solve -6/5*k**3 + c + 6/5*k - 2/5*k**2 - 2/5*k**4 = 0.
-2, -1, 1
Let v(t) = -39*t - 240 + 351 - t**2 - 279. Let f be v(-5). Suppose 50/7 - 20/7*c + 2/7*c**f = 0. Calculate c.
5
Let l be (445/(-1068))/(15/(-54)). Let q = 261/106 - -2/53. Factor -1/2*y**3 - l*y - q*y**2 + 9/2.
-(y - 1)*(y + 3)**2/2
Let q(n) be the first derivative of -n**6/180 + 2*n**5/15 - n**4 + 2*n**3/3 + 27*n - 102. Let f(z) be the third derivative of q(z). Solve f(x) = 0.
2, 6
Suppose -2/13*h**3 + 64/13*h + 0 - 8/13*h**2 = 0. What is h?
-8, 0, 4
Let t(l) be the second derivative of 0 + 3/20*l**5 + 19*l**4 + 722*l**3 - 227*l + 0*l**2. What is y in t(y) = 0?
-38, 0
Suppose -23*c + 81 = 4*c. Let r(z) = 3*z**2 - z. Let m(q) = -19*q**2 + 10*q - 5. Let h(i) = c*m(i) + 21*r(i). Factor h(v).
3*(v - 1)*(2*v + 5)
Let k(y) be the second derivative of 4/45*y**3 + 0 + 1/30*y**5 + 0*y**2 + 4/45*y**4 + 1/225*y**6 + 30*y. Determine s, given that k(s) = 0.
-2, -1, 0
Let b(q) be the third derivative of q**8/672 - q**7/210 - 13*q**6/80 + q**5/3 + 25*q**4/3 + q**2 - 2*q - 493. Factor b(p).
p*(p - 5)**2*(p + 4)**2/2
Suppose -2*f + 2*v - 14 = 0, f + 2*v + 27 = 5*v. Factor -1/5*c**f + 0 + 1/5*c**2 + 2/5*c.
-c*(c - 2)*(c + 1)/5
Let b(r) be the second derivative of r**5/20 - 11*r**4/6 - 25*r**3/6 + 23*r**2 + 8*r + 74. Factor b(i).
(i - 23)*(i - 1)*(i + 2)
Let m(z) be the second derivative of -z**5/5 + 116*z**4/3 + z - 29. Suppose m(d) = 0. Calculate d.
0, 116
Suppose 5*b - 4*b - 2*j + 3 = 0, -4*b + j = 40. Let s be 10/(-825)*b + 0. Factor 8/15 - s*h**2 + 0*h.
-2*(h - 2)*(h + 2)/15
Find b such that 17513*b - 5360*b - 6997*b + 3*b**2 + 1590 - 6749*b = 0.
1, 530
Let f(s) be the second derivative of s - 1/4*s**4 + 3/40*s**5 + 37 + 0*s**2 + 0*s**3 - 1/28*s**7 + 1/10*s**6. Solve f(j) = 0 for j.
-1, 0, 1, 2
Let f(c) be the first derivative of -c**5/105 + 4*c**4/21 - 32*c**3/21 + 65*c**2 - 110. Let l(k) be the second derivative of f(k). Factor l(x).
-4*(x - 4)**2/7
Let o = 264457/21 - 37771/3. Factor -o*q**2 - 2/7*q**5 - 20/7*q**3 - 10/7*q**4 - 10/7*q - 2/7.
-2*(q + 1)**5/7
Suppose 4*s + f = 22, 6 = -0*s + 2*s - 2*f. Suppose -5*x = -w + s*w + 3, 5*x = -2*w - 9. Factor -4*o + 29*o**3 - 7*o**w - 18*o**3.
4*o*(o - 1)*(o + 1)
Let q(l) be the second derivative of -l**5/120 - l**4/4 + 13*l**3/12 + 35*l**2 - 6*l. Let v(r) be the first derivative of q(r). Solve v(f) = 0 for f.
-13, 1
Factor 42*x + 0*x + 57 + 2144205*x**2 - x**3 - x - 2144222*x**2.
-(x - 3)*(x + 1)*(x + 19)
Suppose -1504/5 + 3764/5*w - 2*w**2 = 0. What is w?
2/5, 376
Factor 3721*s**2 - 60*s**4 + 3477/2*s**3 + 0*s + 1/2*s**5 + 0.
s**2*(s - 61)**2*(s + 2)/2
Let l = 243 - 250. Let f be 1/1 - (90/(-14) - l). Factor -9/7*k**3 + 9/7*k**2 - 3/7*k + f*k**4 + 0.
3*k*(k - 1)**3/7
Let i(t) be the third derivative of t**7/420 - 29*t**6/480 + 13*t**5/240 + 7*t**4/48 - 491*t**2 + 3*t. Factor i(d).
d*(d - 14)*(d - 1)*(2*d + 1)/4
Let j = 779501 - 779499. What is y in 108 - 45*y**j + 17/2*y**3 - 1/2*y**4 + 54*y = 0?
-1, 6
Let g be 6/10 + 85900078/56120. Factor -1/4*f**5 - 167/2*f**3 - 955/2*f**2 - 29/4*f**4 - g - 5425/4*f.
-(f + 5)**3*(f + 7)**2/4
Factor 0 - 13*j - 11/2*j**2 + 1/2*j**3.
j*(j - 13)*(j + 2)/2
Let w(h) = -4*h**2 - 439*h - 2481. Let j(n) = 2*n**2 + 220*n + 1244. Let d(o) = 9*j(o) + 4*w(o). Find y such that d(y) = 0.
-106, -6
Let y(z) be the third derivative of -1/21*z**5 - 8/21*z**4 + 0*z - 32/21*z**3 - 15*z**2 - 1/420*z**6 + 0. Factor y(f).
-2*(f + 2)*(f + 4)**2/7
Let q be (-49)/(-21) + (-4)/(-6). Suppose l = -q*l + 12. Determine v, given that -5*v**3 + 3*v**3 - 3*v**2 - 7*v**l + 3 + 9*v = 0.
-1, -1/3, 1
Let p(w) = -10*w**5 - 6*w**4 + 22*w**3 + 6*w**2 + 4*w - 4. Let v(r) = -r**5 + r**4 + 3*r**3 - r**2 + 2*r - 1. Let a(j) = p(j) - 4*v(j). Solve a(i) = 0 for i.
-2, -1, 0, 1/3, 1
Let j(f) be the first derivative of 2/23*f**2 - 2/115*f**5 + 2/23*f**3 + 56 + 0*f**4 + 0*f. Factor j(r).
-2*r*(r - 2)*(r + 1)**2/23
Let q be (21 - 13) + -8 + 0/1. Let m(k) be the third derivative of q*k + 1/330*k**5 + 29*k**2 + 48/11*k**3 + 2/11*k**4 + 0. Find l, given that m(l) = 0.
-12
Let y(h) be the first derivative of -h**4/6 + 112*h**3/3 - 111*h**2 + 332*h/3 + 291. Factor y(r).
-2*(r - 166)*(r - 1)**2/3
Factor -212/5*z + 4/5*z**2 - 216/5.
4*(z - 54)*(z + 1)/5
Let v(c) = -2*c**4 - 3*c**3 + 2*c**2 + c. 