6 - 5/3*n**3 - 25/24*n**4. Let o(b) = 0. What is b?
-2, -1
Let h be (-874790)/(-6440) - (-3 - 213/(-69)). Factor -h*a**2 - 8*a**3 - 248*a - 961/8 - 1/8*a**4.
-(a + 1)**2*(a + 31)**2/8
Let y be -7 - (1 + (-324)/32 + 11 - 9). Find p such that y*p**2 - 1/2 + 0*p = 0.
-2, 2
Let j(v) be the second derivative of v**6/30 - 617*v**5/80 - 1825*v**4/24 - 1603*v**3/8 + 180*v**2 + 7*v - 10. Determine d, given that j(d) = 0.
-3, 1/4, 160
Let d = -11440 - -19184. Let 144*l**2 + 204*l**2 - d + 7392*l + 6*l**3 - 2*l**3 = 0. What is l?
-44, 1
Suppose -6*w + 909 = -2853. Let v be (9/24)/3 + w/616. What is y in 8/7*y + 30/7*y**2 + 0 - v*y**3 = 0?
-1/4, 0, 4
Let y be (7 + -5)*2 - 10048/14. Let c = y - -714. Factor c*x**2 + 32/7 + 16/7*x.
2*(x + 4)**2/7
Let q = 359297/7 + -51328. Let 5/7*r + 0 - q*r**2 = 0. Calculate r.
0, 5
Suppose 5*r + 57 = 3*g, -3*r + 61 = 4*g + g. Factor -15 + g - 9*t**2 + 40 - 42*t + 12*t**2.
3*(t - 13)*(t - 1)
Suppose -5/9*k**2 - 292/9 + 244/3*k = 0. Calculate k.
2/5, 146
Suppose 5*z - 8 = 3*p, -5*p + 32 = z + 8. Suppose 5*y - 3*y + 30 = p*h, 4*h + 2*y = 10. Factor 2*c**3 + 20*c - 21*c + 4*c**5 - h*c**5.
-c*(c - 1)**2*(c + 1)**2
Suppose -4*s - 14 = -34. Suppose -3 + 8*x - 2 - 1682*x**2 - s + 1684*x**2 = 0. What is x?
-5, 1
Factor 4/11*c**3 - 450/11*c**4 + 0*c**2 + 0 + 0*c.
-2*c**3*(225*c - 2)/11
Let t(r) = 46*r**2 + 77. Let m(u) = -214*u**2 + 4*u - 386. Let h(n) = -3*m(n) - 14*t(n). Factor h(o).
-2*(o - 4)*(o + 10)
Suppose h = 5*h + w + 155, -4*w = 4*h + 140. Let b = -26 - h. Let -3*u**2 - 3*u**3 + b*u - 4*u**2 + 3*u**2 + u**3 - 8 = 0. Calculate u.
-4, 1
Let l(a) = -2*a**2 - 78*a + 305. Let v(k) = -k**2 - 30*k + 305. Let z(m) = 2*l(m) - 3*v(m). Determine o so that z(o) = 0.
-61, -5
Let t(a) be the third derivative of a**5/120 + 5*a**4/24 + 7*a**3/4 - 21*a**2 - 18. Determine z so that t(z) = 0.
-7, -3
Let a(l) be the third derivative of l**2 + 64*l + 1/240*l**5 + 0 + 1/6*l**3 + 5/96*l**4. Factor a(z).
(z + 1)*(z + 4)/4
Let r = -270473/3 + 90159. Determine o, given that -12*o**3 + 0 - r*o**5 - 20/3*o**4 - 28/3*o**2 - 8/3*o = 0.
-2, -1, 0
Let k(p) = -3*p + 1. Let u be k(1). Let d be (2 + 3)/(u/(-4)). Solve 19*h - 11*h - h**2 - d*h = 0.
-2, 0
Let c be (4/((-176)/(-12)))/(1/11). Let o be 264/180*5/c - 2. Determine l so that -34/9*l**3 + 14/3*l**2 + o - 22/9*l + 10/9*l**4 = 0.
2/5, 1
Factor -778*w**2 + 1560*w**2 - 777*w**2 - 90*w - 20*w - 2275.
5*(w - 35)*(w + 13)
Let u(y) be the third derivative of -y**7/945 - 2*y**6/15 - 7*y**5 - 196*y**4 - 3087*y**3 + 2*y**2 - y + 416. Factor u(l).
-2*(l + 9)*(l + 21)**3/9
Let r(h) be the third derivative of -h**6/180 + 79*h**5/90 - 648*h**2. Factor r(y).
-2*y**2*(y - 79)/3
Let w(b) be the second derivative of -3*b**7/700 + b**6/100 - b**5/100 - 2*b**4 - b - 47. Let h(z) be the third derivative of w(z). Let h(n) = 0. Calculate n.
1/3
Suppose -2555 + 2555 = 28*a. Let g(h) be the first derivative of 3 + 1/15*h**3 - 1/5*h + a*h**2. Determine f, given that g(f) = 0.
-1, 1
Let 682*r - 232562 - 1/2*r**2 = 0. Calculate r.
682
Let v(c) be the first derivative of 1/13*c**4 + 6/13*c**3 + 6/13*c + 10/13*c**2 + 69. Factor v(f).
2*(f + 1)*(f + 3)*(2*f + 1)/13
Let n(g) be the third derivative of 111/16*g**4 + 0 - 3*g + 189/40*g**5 - 49/320*g**6 + 36*g**2 + 4*g**3. Factor n(w).
-3*(w - 16)*(7*w + 2)**2/8
Suppose 0 = -14*h - 621 + 229. Let a be (55/h - 52/(-26))*8. Determine d, given that -2/7*d**2 + 0 + a*d = 0.
0, 1
Suppose 7*z + 286 - 300 = 0. Let o = 3114/2737 - -2/391. Suppose o*h + 6/7 + 2/7*h**z = 0. Calculate h.
-3, -1
Let l = -232 + 234. What is p in -p - 27*p**l - 33 - 62*p + 24*p**2 - 27 = 0?
-20, -1
Let m(q) be the second derivative of q**10/15120 - q**9/2520 + q**8/1680 - 19*q**4/12 + q**3/3 - 64*q. Let k(u) be the third derivative of m(u). Factor k(n).
2*n**3*(n - 2)*(n - 1)
Let b(u) = u**3 - 67*u**2 + 64*u - 2. Let i(q) = 20*q**2 - 1 - 5*q**3 - 37*q**2 + 18*q**2 - q + 4*q**3. Let p(s) = -b(s) + 2*i(s). Find g such that p(g) = 0.
0, 1, 22
Let g(r) be the third derivative of -r**6/30 + 4*r**5/15 + 18*r**2 + 2*r. What is k in g(k) = 0?
0, 4
Let -316/11*n**2 + 62/11*n**3 - 2/11*n**4 + 400/11*n + 0 = 0. Calculate n.
0, 2, 4, 25
Let z(v) be the first derivative of -v**4 + 196*v**3/3 - 1248*v**2 + 2304*v - 2202. Factor z(r).
-4*(r - 24)**2*(r - 1)
Let c(d) be the first derivative of 6*d**5/5 - 169*d**4/4 - 716*d**3/3 - 322*d**2 + 128*d - 6278. Factor c(g).
(g - 32)*(g + 2)**2*(6*g - 1)
Let z(g) be the second derivative of 14*g**5/45 + 209*g**4/27 + 698*g**3/27 - 52*g**2/9 - 27*g - 47. Find n such that z(n) = 0.
-13, -2, 1/14
Let a(m) be the third derivative of 0*m**3 - 2*m + 0 - 22*m**2 - 7/12*m**5 - 5/24*m**4. Factor a(n).
-5*n*(7*n + 1)
Factor -340 - 478 - 1408*a**2 + 674 - 8251*a**3 + 1083*a**3 + 1284*a.
-4*(7*a + 4)*(16*a - 3)**2
Let f(q) be the third derivative of q**5/240 - 163*q**4/96 - 41*q**3/6 - 109*q**2. Suppose f(y) = 0. What is y?
-1, 164
Let z be (22/12)/(3/72*132). Factor -20/3*g**2 + 100/3*g + z*g**3 + 0.
g*(g - 10)**2/3
Let u(r) be the first derivative of -5*r**3/3 + 1215*r**2/2 - 2410*r - 2445. Factor u(n).
-5*(n - 241)*(n - 2)
Let p(m) be the first derivative of 152*m**3/3 + 251*m**2/2 + 90*m - 2287. Determine i, given that p(i) = 0.
-9/8, -10/19
Let o(u) be the first derivative of u**6/24 - 13*u**5/10 + 107*u**4/8 - 149*u**3/3 + 649*u**2/8 - 121*u/2 + 835. Suppose o(l) = 0. What is l?
1, 2, 11
Let k(y) be the first derivative of -y**6/15 + 3*y**5/5 - 3*y**4/2 + 4*y**3/3 - 172*y + 108. Let l(f) be the first derivative of k(f). Factor l(g).
-2*g*(g - 4)*(g - 1)**2
Factor -40/7*w + 198/7 + 2/7*w**2.
2*(w - 11)*(w - 9)/7
Let y be 107919/32340 - 4/(-14). Let s = -1/44 + y. Solve 0 + 3*b**2 - 3/5*b**3 - s*b = 0 for b.
0, 2, 3
Let f(i) be the second derivative of i**6/180 + 7*i**5/15 + 49*i**4/3 + 239*i**3/6 - 226*i. Let c(s) be the second derivative of f(s). Let c(v) = 0. What is v?
-14
Let s(q) be the third derivative of -q**6/24 - 557*q**5/4 - 1551245*q**4/8 - 864043465*q**3/6 + 2353*q**2. Let s(v) = 0. Calculate v.
-557
Let q(f) = -216*f + 2379. Let k be q(11). Let m(j) be the third derivative of -9*j**2 - 15/2*j**k + 1/24*j**6 + 5/12*j**5 + 5/8*j**4 + 0*j + 0. Factor m(o).
5*(o - 1)*(o + 3)**2
Let -15*d**2 - 727*d + 4*d**3 - 18*d**2 + 267*d - 23*d**2 + 1734 - 2134 = 0. Calculate d.
-5, -1, 20
Let k be (-5 - (-212)/36)*(5/160)/(2/16). Factor -2/3*j + k*j**2 + 4/9.
2*(j - 2)*(j - 1)/9
Let b be (1 + -4)*(-8)/12. Let t(z) = -z**3 + 5*z**2 - 3*z. Let x be t(4). Factor 2*m**x + 0*m - 2*m**3 + 5*m + 8*m**b - 3*m - 10*m**4.
-2*m*(m - 1)*(m + 1)*(4*m + 1)
Let u(q) be the second derivative of q**8/26880 + q**7/10080 + 59*q**4/12 + 2*q + 19. Let j(g) be the third derivative of u(g). Factor j(k).
k**2*(k + 1)/4
Suppose 2*h + 2742 = 3*h + 3*w, w = -3*h + 8218. Suppose -h = -41*c + 38*c. Factor -c*b**3 - b**4 + 913*b**3.
-b**4
Let x(t) = t**4 + 178*t**3 + 54*t**2 - 1742*t - 7. Let z(l) = -60*l**3 - 18*l**2 + 580*l + 2. Let g(y) = -2*x(y) - 7*z(y). Factor g(i).
-2*i*(i - 32)*(i - 3)*(i + 3)
Let w(k) = k**3 + 8*k**2 + k + 4. Let v be w(-8). Let o be v/14 - (-550)/1386. Factor o*r**3 + 1/3*r**2 - 5/9*r - 1/9*r**4 + 2/9.
-(r - 1)**3*(r + 2)/9
Let l(z) = -z - 13. Let p be l(-17). Solve 9 - 9*h**4 - 9*h**p - 6*h**2 + 15*h**4 - 12*h**3 + 12*h = 0 for h.
-3, -1, 1
Let n(r) = 15*r**2 - 521*r + 1403. Let j(k) = 7*k**2 - 259*k + 666. Let t(q) = -13*j(q) + 6*n(q). Factor t(s).
-(s - 240)*(s - 1)
Let h(m) be the second derivative of 0*m**2 + 3/8*m**3 - 3*m + 1/80*m**5 - 5/24*m**4 - 4. Factor h(n).
n*(n - 9)*(n - 1)/4
Let r = 10029 - 10027. Let q(o) be the first derivative of -13 - 15*o - 1/5*o**3 + 3*o**r. Factor q(x).
-3*(x - 5)**2/5
Let k(m) = 8*m**3 - 268*m**2 - 270*m - 45. Let z(a) = -9*a**3 + 269*a**2 + 270*a + 60. Let d(l) = -4*k(l) - 3*z(l). Factor d(b).
-5*b*(b - 54)*(b + 1)
Suppose -2 = 2*s - 4*w, -4*s - 432 = -2*w - 440. Factor 8/9*u**2 - 2/9*u**s + 0*u + 0.
-2*u**2*(u - 4)/9
Factor 9094*a - 18233*a + 12 - 37 + 3*a**2 + 9065*a.
(a - 25)*(3*a + 1)
Let q(r) be the second derivative of -r**6/20 + 99*r**5/40 - 117*r**4/8 + 23*r**3/4 + 261*r**2/2 + 1214*r. Solve q(v) = 0.
-1, 2, 3, 29
Let z(c) be the third derivative of c**6/48 - 37*c**5/24 - 95*c**4/24 - 1084*c**2. Factor z(q).
5*q*(q - 38)*(q + 1)/2
Let n be 2/10 -