hat n(s) = 0.
-4, 0, 1, 3
Let v be 56/22 + (-738)/1353. What is y in 8/11*y - 2/11*y**3 + 2/11*y**v - 8/11 = 0?
-2, 1, 2
Let t be 14 + 2/(-2)*-1. Suppose -2*b - 3*b = -t. Factor -7*h - 4 + 9*h**3 + 4*h**2 - 3*h + 3*h**3 - 2*h**b.
2*(h - 1)*(h + 1)*(5*h + 2)
Let u(k) be the second derivative of k**8/6720 - k**7/2520 - k**4/12 - k**3/3 + 7*k + 3. Let m(y) be the third derivative of u(y). Factor m(l).
l**2*(l - 1)
Let c = -3002 + 3006. Factor 2/3*l**2 - c + 2/3*l.
2*(l - 2)*(l + 3)/3
Let d(z) be the third derivative of -z**6/240 + 13*z**5/120 + 43*z**4/24 + 6*z**3 - 65*z**2. Factor d(k).
-(k - 18)*(k + 1)*(k + 4)/2
Let x be (-1)/(-1*3/78). Let g be (7/2)/(13/x). Factor -7*r - 2*r - 3 + r + 4*r + g*r**2.
(r - 1)*(7*r + 3)
Let u(z) be the first derivative of -z**3/3 - 6*z**2/5 - 4*z/5 + 55. Find k such that u(k) = 0.
-2, -2/5
Factor -1/6*t**2 - 4/3 + t.
-(t - 4)*(t - 2)/6
Let b(j) be the first derivative of -3*j**4/4 + 33*j**3 - 1089*j**2/2 + 3993*j + 51. Factor b(h).
-3*(h - 11)**3
Suppose u + 24 = 4*u. Factor -u*c + 76 - 85 - 4*c - 3*c**2.
-3*(c + 1)*(c + 3)
Let q(a) be the third derivative of a**6/1080 - 13*a**5/180 + 169*a**4/72 - 2197*a**3/54 - 25*a**2. Factor q(d).
(d - 13)**3/9
Let y(t) be the first derivative of t**3/4 + t**2/2 + t/4 - 28. Factor y(k).
(k + 1)*(3*k + 1)/4
Let h(j) be the first derivative of 1 + 5/4*j**4 + 10*j - 15/2*j**2 + 0*j**3. Find a, given that h(a) = 0.
-2, 1
Let k(y) = -7*y**3 - 4*y**2 + 10*y + 22. Let n(z) = -16*z**3 - 7*z**2 + 19*z + 43. Let p(h) = 5*k(h) - 2*n(h). Find g such that p(g) = 0.
-2, 2
Suppose 2*i - 73 = -61. Suppose -3*a = i*a - 45. Factor -1/3*o**a + 1/3*o - 2/3*o**2 + 0 + 2/3*o**4 + 0*o**3.
-o*(o - 1)**3*(o + 1)/3
Let x(m) be the first derivative of m**5/570 - m**4/76 + 2*m**3/57 - 5*m**2/2 - 5. Let f(n) be the second derivative of x(n). Determine d, given that f(d) = 0.
1, 2
Factor 0 + 21*h - 3/5*h**3 - 102/5*h**2.
-3*h*(h - 1)*(h + 35)/5
Let a be (7 - 7)*((-10)/15 + 1). Let o(w) be the third derivative of a*w + 0*w**3 - 5*w**2 + 0 - 1/12*w**4 + 1/6*w**5. Suppose o(n) = 0. What is n?
0, 1/5
Let v(i) = 3*i**2 + 2*i - 62. Let d be v(-5). Find b, given that -2*b + 2*b**d - 2/5 - 6/5*b**2 + 8/5*b**4 = 0.
-1, -1/4, 1
Let t = -137/2 + 70. Let m(s) be the first derivative of 0*s - 8/5*s**5 + 2/3*s**3 + 5 - t*s**4 + 0*s**2. Let m(b) = 0. What is b?
-1, 0, 1/4
Let r(q) be the second derivative of q**6/60 + q**5 + 25*q**4 + 1000*q**3/3 + 2500*q**2 - 2*q + 24. Factor r(z).
(z + 10)**4/2
Suppose -120*u + 122 = -59*u. Factor -1/4*h**4 + 0*h**3 + h**u + 0*h + 0.
-h**2*(h - 2)*(h + 2)/4
Let d(l) be the second derivative of 3*l**5/50 - 13*l**4/10 + 12*l**3/5 + 229*l. Factor d(s).
6*s*(s - 12)*(s - 1)/5
Let g(p) = -2*p**4 + 20*p**3 - 61*p**2 + 82*p - 27. Let a(v) = 6*v**4 - 60*v**3 + 184*v**2 - 244*v + 82. Let t(h) = -3*a(h) - 8*g(h). Solve t(y) = 0 for y.
1, 3, 5
Let o(n) = 3*n**2 + 63*n + 64. Let y(j) = 6*j**2 + 126*j + 130. Let t(w) = 5*o(w) - 2*y(w). Determine g, given that t(g) = 0.
-20, -1
Suppose 0*g + 2*m - 1 = 3*g, 4*g = -5*m + 37. Suppose 6*z - 13 = -2*s + 5*z, 0 = -g*s - 3*z + 24. Factor 4*l**2 - 2*l - 3*l**3 - 4*l**3 + s*l**3.
-2*l*(l - 1)**2
Suppose 1/4*o**3 + 117/4 + 19/4*o**2 + 87/4*o = 0. What is o?
-13, -3
Factor -290*o + 38*o**2 + 121*o**2 - 5*o**4 - 42*o**2 - 40*o**3 + 98*o**2 + 120.
-5*(o - 2)*(o - 1)**2*(o + 12)
Let z(b) = 7*b**2 + 2*b - 1. Let m = -30 - -34. Let c(o) = 8*o**2 + o - 2. Let f be (-4 - (-2 + 2)) + -1. Let w(n) = f*z(n) + m*c(n). Factor w(l).
-3*(l + 1)**2
Let d(x) be the first derivative of -x**4/6 - 34*x**3/9 - 88*x**2/3 - 96*x - 257. Factor d(k).
-2*(k + 4)**2*(k + 9)/3
Let l = -48 + 44. Let m be (-6)/(-4)*l/(-3). Suppose -m*h**2 + 12/7 - 38/7*h = 0. What is h?
-3, 2/7
Let y be 52*-3*4/24. Let j = y + 134/5. Solve -2/5*s**2 + 2/5*s + j = 0.
-1, 2
Let g(v) = -3*v**2 + 14*v - 31. Suppose -4*x + 4*a + 20 = 0, 5*x + 3 = -2*a - 0*a. Let h(f) = f + 1. Let p(j) = x*g(j) + 4*h(j). Factor p(n).
-3*(n - 3)**2
Let v(g) be the first derivative of 8*g**6/3 + 76*g**5/5 + 7*g**4 - 52*g**3 + 18*g**2 + 39. Suppose v(f) = 0. What is f?
-3, 0, 1/4, 1
Let d = 2522 + -2518. Let y(x) be the third derivative of 5*x**2 + 4/15*x**3 + 0 + 1/150*x**5 - 1/12*x**d + 0*x. Solve y(m) = 0 for m.
1, 4
Let h(w) = -w**3 - 8*w**2 - w - 8. Let z be h(-8). Determine k so that 0 + 4/3*k**3 + z*k + 13/3*k**4 - 4/3*k**2 + 5/3*k**5 = 0.
-2, -1, 0, 2/5
Let f(z) be the first derivative of 28/3*z**3 - 16*z + 19 - 3*z**4 + 0*z**2. Determine j so that f(j) = 0.
-2/3, 1, 2
Let d = 24204/511 - 326/7. Let n = 2/365 + d. Determine p, given that 0 + 0*p**4 + n*p**3 - 2/5*p**5 + 0*p**2 - 2/5*p = 0.
-1, 0, 1
Factor -576 - 12*s**2 + 1/3*s**3 + 144*s.
(s - 12)**3/3
Let s be 123/21 - 6 - (-52)/217. Let i = 37/62 - s. Factor 0*c + i*c**4 + 0 + 1/2*c**3 + 0*c**2.
c**3*(c + 1)/2
Suppose 0 = -3*h + 5*l - 14, 3*h - h + l - 8 = 0. Suppose -3 = z - h*z. Factor 3/2*g + z*g**2 + 0 + 3/2*g**3.
3*g*(g + 1)**2/2
Let o(d) be the third derivative of d**6/40 - 3*d**5 + 57*d**4/2 - 112*d**3 - 9*d**2 + 6. Find y such that o(y) = 0.
2, 56
Let g(u) be the first derivative of -1/40*u**6 + 0*u - 1/10*u**5 + u**3 - 1 + 3/2*u**2 + 1/8*u**4. Let d(l) be the second derivative of g(l). Factor d(j).
-3*(j - 1)*(j + 1)*(j + 2)
Let v(k) be the first derivative of 7/18*k**4 - 4/3*k**2 + 8/9*k - 22 - 2/3*k**3. Let v(y) = 0. Calculate y.
-1, 2/7, 2
Let o(z) = -z**2 - 21*z - 17. Let k be o(-20). Let i(g) be the first derivative of 3/28*g**4 + 2/7*g**k - 3 + 3/14*g**2 + 0*g. Factor i(j).
3*j*(j + 1)**2/7
Suppose 0 = h - 4, 5 + 13 = 3*o + 3*h. Let s be (-4)/(-32) + (-72)/(-2496). Factor 0*y + s*y**o + 2/13*y**3 + 0.
2*y**2*(y + 1)/13
Let o = 24473/494 + -10/247. Let v = o + -48. What is t in 3/4 + 3/4*t**2 - v*t = 0?
1
Let z(f) be the second derivative of -9*f - 1/70*f**5 + 0*f**2 - 1/84*f**4 + 0 + 0*f**3 - 1/210*f**6. Factor z(t).
-t**2*(t + 1)**2/7
Let f(g) be the second derivative of 0 - 23*g + 0*g**2 - 10/3*g**3 - 5/12*g**4. Factor f(w).
-5*w*(w + 4)
Let d(n) = 6*n**2 + 10*n + 14. Let k(w) = -w**2 - w - 1. Suppose -g = -5*b, -6*b + 15 = -b + 2*g. Let i(j) = b*d(j) + 10*k(j). Determine z so that i(z) = 0.
-1, 1
Let w(y) = 7*y - 5. Let n be w(-16). Let s = 586/5 + n. Factor 1/5*m**4 + s*m**2 - 2/5*m**3 + 0 + 0*m.
m**2*(m - 1)**2/5
Let y(x) be the third derivative of -x**5/420 - x**4/84 + 4*x**3/7 - 16*x**2 + 8*x. Factor y(w).
-(w - 4)*(w + 6)/7
Let v = 68959/91956 + 2/22989. Solve v*k - 21/8*k**2 + 0 + 9/8*k**3 = 0 for k.
0, 1/3, 2
Let h(q) = q**3 - 12*q**2 - 15*q + 30. Let w be h(13). Factor -1225*j**w + 1226*j**4 + 2*j**2 - 3*j**2.
j**2*(j - 1)*(j + 1)
Suppose -3*a + 74 = 236. Let g be 1 - -3 - a/(-14). Determine d so that 1/7*d**2 + g - 2/7*d = 0.
1
Factor 4129*m - 3*m**3 + 7*m**3 + 16 - 4145*m - 4*m**2.
4*(m - 2)*(m - 1)*(m + 2)
Let -1 - y - 1/4*y**2 = 0. What is y?
-2
Let n = -1205 - -18077/15. Let k(u) be the first derivative of -1/3*u**4 - 2/9*u**3 + 8 + 0*u + 2/3*u**2 + n*u**5. Suppose k(c) = 0. Calculate c.
-1, 0, 1, 2
Let o = 143/765 + 2/153. Let z(m) be the first derivative of -5 + 0*m**2 + o*m - 1/15*m**3. Solve z(g) = 0 for g.
-1, 1
Let q(n) = 232*n**4 + 858*n**3 - 1860*n**2 + 868*n - 166. Let p(c) = 21*c**4 + 78*c**3 - 169*c**2 + 79*c - 15. Let g(m) = 68*p(m) - 6*q(m). Factor g(l).
4*(l - 1)*(l + 6)*(3*l - 1)**2
Let m(v) be the third derivative of -v**7/504 - v**6/72 - v**5/24 - 5*v**4/12 + 8*v**2. Let z(q) be the second derivative of m(q). Suppose z(x) = 0. What is x?
-1
Let v = -33 - -39. Let s be -8*((-1)/7)/(v/7). Factor -4/3*d**5 - s*d**4 + 0*d + 4/3*d**3 + 4/3*d**2 + 0.
-4*d**2*(d - 1)*(d + 1)**2/3
Let x be (-592)/(-24) - 10 - (1 + 3). Let d = -35 + 37. Factor -x*v - 4/3*v**d - 64/3.
-4*(v + 4)**2/3
Find m such that -957/4*m**4 - 21/2*m**5 - 3288*m**2 - 300 - 1860*m - 1653*m**3 = 0.
-10, -2, -1/2, -2/7
Let j = 19 + -12. Let x = 15 - j. Factor x*c - 11*c + c**2 + c**3 - 7*c**2 - 4*c**3.
-3*c*(c + 1)**2
Let z(w) be the second derivative of -w**8/30240 - w**7/2835 - w**6/648 - w**5/270 - 31*w**4/12 + 30*w. Let r(f) be the third derivative of z(f). Factor r(n).
-2*(n + 1)**2*(n + 2)/9
Let t(b) be the second derivative of -b**4/48 + 7*b**3/12 - 29*b + 1. Solve t(x) = 0.
0, 14
Let x(i) = -4*i - 87. Let s be x(-23). Let a(m) be the first derivative