1/6*j**2.
j**2/6
Let n(c) = -4 + 6*c - 14 + 2. Let m be n(3). Let 5/4*v**m + 1/4*v**3 + 2*v + 1 = 0. Calculate v.
-2, -1
Let q(y) be the third derivative of y**5/300 - y**4/24 - y**3/5 - 3*y**2 + 27*y. Factor q(j).
(j - 6)*(j + 1)/5
Let r(x) = x**3 + 6*x**2 - 3*x - 2. Let f be r(-6). Suppose -f - 54 = -7*i. Determine g, given that 4 + 15*g + 0 - 12*g**2 + 3*g**3 - i = 0.
1, 2
Let h(a) = -a**3 - 8*a**2 - 9*a - 10. Let m be h(-7). Let i = -10 - -17. Factor 10*p**4 - 8*p**2 + i*p**3 - 3*p**3 - 6*p**m.
4*p**2*(p - 1)*(p + 2)
Let a(d) be the third derivative of d**7/21 - 4*d**6/15 + 13*d**5/30 - d**4/6 + 8*d**2. Factor a(k).
2*k*(k - 2)*(k - 1)*(5*k - 1)
Let c(i) be the third derivative of -13*i**2 - 1/24*i**6 + 80/3*i**3 + 0*i - 1/2*i**5 + 0 + 0*i**4. Factor c(f).
-5*(f - 2)*(f + 4)**2
Let o be (2/(-6))/(1/(-6)). Suppose -3*m**4 + 9*m**3 - o*m**2 + 0*m**2 - m**2 - 3*m**2 = 0. What is m?
0, 1, 2
Suppose -54/5*w - 4*w**2 - 36/5 - 2/5*w**3 = 0. Calculate w.
-6, -3, -1
Let b(p) = p**2 - 2*p + 5. Let r(a) = -a**2 + a + 1. Let x(h) = -b(h) - 2*r(h). Let m(n) = -n**2 + n + 8. Let w(y) = -3*m(y) - 4*x(y). Solve w(o) = 0.
-4, 1
Let v = -25 + 8. Let q(f) = 3*f**2 + 12*f - 17. Let i(r) = -r**2 - 4*r + 6. Let y(n) = v*i(n) - 6*q(n). Factor y(b).
-b*(b + 4)
Let f(j) be the third derivative of -j**8/3360 + j**7/1260 + j**6/360 - j**5/60 + 4*j**4/3 + 37*j**2. Let g(n) be the second derivative of f(n). Factor g(z).
-2*(z - 1)**2*(z + 1)
Suppose 11*x - 1 = 12*x. Let i = 1 + x. Factor -4/3*o**5 - 7/3*o**4 + 0 - 2/3*o**3 + i*o + 1/3*o**2.
-o**2*(o + 1)**2*(4*o - 1)/3
Let f = 19622/3 - 6534. Find o, given that 5/3*o**2 + f*o + 0 = 0.
-4, 0
Suppose 3*k + 11*c = 15*c - 3737, -4*k + c = 4961. Let l = -11131/9 - k. Factor 10/9*y + 2/9*y**5 - 20/9*y**2 - 2/9 + l*y**3 - 10/9*y**4.
2*(y - 1)**5/9
Let s(d) = 3*d - 22. Let x be s(8). Factor 12*i - 3*i**3 + 7 + 3*i**4 - 4 + 18*i**x + 15*i**3.
3*(i + 1)**4
Solve -7/2*i**3 + 900 - 209*i**2 - 3090*i = 0.
-30, 2/7
Let q be 578/(-204) + 5 + -2 + 0. Solve 1/6*t + q*t**2 - 1/3 = 0.
-2, 1
Let y(g) = -3*g - 7. Let m be y(-5). Suppose -5*t = -t - m. Factor -3*f - f**4 + 4*f + f + 3*f**4 - 4*f**2 - 4*f**3 + t*f**5 + 2.
2*(f - 1)**2*(f + 1)**3
Determine y so that 5/6*y**5 + 5/3 + 40/3*y**2 + 15/2*y + 35/3*y**3 + 5*y**4 = 0.
-2, -1
Let o(f) be the third derivative of -7*f**6/240 + f**5/10 + 13*f**4/48 - 3*f**3/2 - 84*f**2. Factor o(h).
-(h - 2)*(h - 1)*(7*h + 9)/2
Let a be -8 + 2 + 6 + 2. Let v(t) be the first derivative of -3/2*t**2 + 9/2*t + 1/6*t**3 - a. What is f in v(f) = 0?
3
Let n be 2 + -1 - -3 - -9. Suppose -4*f**2 + f**4 + 27*f - n*f - f**3 + 3*f**2 - 13*f = 0. Calculate f.
-1, 0, 1
Suppose l = 2*h + 8, 0 = -3*h - 1 - 5. Suppose -1 = l*q - 9. Factor -6 + 8 + 4*u + q*u**2 + 0 - 8*u.
2*(u - 1)**2
Let r = -31844 + 31846. Factor 1/2*u**3 + 6*u - 2 - 1/2*u**5 + 3/2*u**4 - 11/2*u**r.
-(u - 2)*(u - 1)**3*(u + 2)/2
Let g = -68 + 68. Let n(k) be the third derivative of 0*k - 1/120*k**6 + 1/120*k**5 - 1/140*k**7 + 0*k**4 + 2*k**2 + 0*k**3 + g. Find o, given that n(o) = 0.
-1, 0, 1/3
Let -1736*d**3 - 11233*d - 525*d**4 - 66797*d - 62390*d**2 + d**5 - 7704*d**3 + 16139 - 11*d**5 - 40704 = 0. Calculate d.
-17, -1, -1/2
Let z(b) = 5*b**2 - 4*b. Let k(q) = 14*q**2 - 12*q. Let x = 73 + -76. Let a(c) = x*k(c) + 8*z(c). Find y such that a(y) = 0.
0, 2
Let o(n) = -n - 2. Let c be o(-5). Let m(q) be the first derivative of q**2 + 4*q**c + 107 - 8*q - 98 + 0*q**3 + q**2. Factor m(f).
4*(f + 1)*(3*f - 2)
Let z(s) be the first derivative of s**8/2800 - s**7/700 - 7*s**6/600 - s**5/50 + 17*s**3/3 - 1. Let r(j) be the third derivative of z(j). Factor r(t).
3*t*(t - 4)*(t + 1)**2/5
Let n(v) be the first derivative of v**4/32 - 7*v**3/8 + 99*v**2/16 + 121*v/8 - 417. Factor n(x).
(x - 11)**2*(x + 1)/8
Let l(j) be the first derivative of -3/4*j**3 - 9/16*j**4 + 0*j - 3/20*j**5 - 3/8*j**2 + 16. Factor l(u).
-3*u*(u + 1)**3/4
Suppose 4*g - j = 1, 0*j + j = -4*g + 15. Factor 1/10*c**g + 1/5*c - 1/10*c**3 + 0.
-c*(c - 2)*(c + 1)/10
Suppose -14*k = 14*k + 38*k. Factor 6/11*g - 12/11*g**4 - 6/11*g**5 + 0*g**3 + 12/11*g**2 + k.
-6*g*(g - 1)*(g + 1)**3/11
Let p(a) be the second derivative of -2/63*a**7 + 2/45*a**5 + 2/27*a**6 + a + 0*a**3 - 6 + 0*a**4 + 0*a**2. Factor p(d).
-4*d**3*(d - 2)*(3*d + 1)/9
Suppose 232 = -9*l + 232. Find u such that -1/2*u**5 + l + 0*u + 0*u**2 + 1/2*u**4 + 0*u**3 = 0.
0, 1
Let x(j) be the third derivative of -j**7/175 - j**6/300 - j**3/2 + 22*j**2. Let h(i) be the first derivative of x(i). Suppose h(y) = 0. Calculate y.
-1/4, 0
Let n(g) be the second derivative of 1/5*g**5 + 0*g**2 - 2/3*g**3 + 4*g - 1/6*g**4 + 1/15*g**6 + 0. Factor n(r).
2*r*(r - 1)*(r + 1)*(r + 2)
Let n(w) be the first derivative of w**6/12 + w**5/10 - w**4/4 - w**3/3 + w**2/4 + w/2 - 7. Find f, given that n(f) = 0.
-1, 1
Let m(i) be the third derivative of 7*i**6/30 - i**5/3 - i**4/3 + 375*i**2. Let m(f) = 0. Calculate f.
-2/7, 0, 1
Let g(v) = 5*v**2 - 60*v + 50. Let k(w) = w**2 - 10*w + 8. Let u(x) = -4*g(x) + 25*k(x). Determine t so that u(t) = 0.
0, 2
Let m(w) be the second derivative of -w**8/15680 + w**7/1470 - w**6/336 + w**5/140 - 3*w**4/2 - 11*w. Let b(k) be the third derivative of m(k). Factor b(f).
-3*(f - 2)*(f - 1)**2/7
Suppose 43*i - 44*i = -4. Solve 9*v**3 - 6*v**5 + 2*v**i - v**3 + 2*v**3 - 5*v**2 + 3*v**2 - 4*v = 0.
-1, -2/3, 0, 1
Factor -2/11*w**3 + 2/11*w**4 + 0 + 0*w - 4/11*w**2.
2*w**2*(w - 2)*(w + 1)/11
Let f(x) be the third derivative of -x**7/280 + x**6/40 - x**5/20 - x**3/2 - 2*x**2. Let d(l) be the first derivative of f(l). Suppose d(w) = 0. Calculate w.
0, 1, 2
Let p be 28/6*(45/(-180))/(14/(-8)). Factor p*a + 0 - 4/3*a**2.
-2*a*(2*a - 1)/3
Let m(v) be the first derivative of 2*v**5/35 - v**4/7 - 8*v**3/21 + 8*v**2/7 + 61. Factor m(t).
2*t*(t - 2)**2*(t + 2)/7
Suppose -5*l - 51 = 2*u, 5*u + 2*l + 23 = 4*u. Let i = u - -20. Factor 4*r**3 - 2*r + i*r + 11*r - 16*r**2.
4*r*(r - 2)**2
Let t = 237/140 + 2/35. Factor 0 + 0*m - t*m**3 - 1/2*m**2 + m**4.
m**2*(m - 2)*(4*m + 1)/4
Suppose -12 = 13*u - 15*u. Let m be u/4*(3 + (-59)/21). Factor m*s**2 + 2/7*s + 0.
2*s*(s + 1)/7
Let h(r) = -5*r**5 - 223*r**4 - 2652*r**3 + 7*r**2 + 7*r. Let t(x) = 5*x**5 + 224*x**4 + 2651*x**3 - 6*x**2 - 6*x. Let n(c) = -6*h(c) - 7*t(c). Factor n(a).
-5*a**3*(a + 23)**2
Let i(u) be the third derivative of -8/13*u**4 + 0 + 7/65*u**5 + 32/39*u**3 + 8*u**2 + 0*u - 1/156*u**6. Factor i(t).
-2*(t - 4)**2*(5*t - 2)/13
Let f(m) be the third derivative of 0*m**3 + 0 + 0*m - 10*m**2 + 0*m**4 - 4/525*m**7 + 1/150*m**6 - 1/420*m**8 + 2/75*m**5. Let f(q) = 0. Calculate q.
-2, -1, 0, 1
Let g(l) = -l**3 + l**2. Let x be g(0). Let u be (-2)/(-8) - 14/(-8). Factor -2 + 5*k + 7*k + x*k - 14*k**u - 2*k + 6*k**3.
2*(k - 1)**2*(3*k - 1)
Let z = -3 - -21. Let g be z/(-6)*1*(-4)/6. Factor -4/7*y**5 - 16/7*y**4 - 16/7*y**g - 24/7*y**3 + 0 - 4/7*y.
-4*y*(y + 1)**4/7
Let r(t) = -2*t**2 + 70*t + 4. Let i be r(35). Let c(b) be the second derivative of 0*b**2 - 7*b - 1/12*b**i - 1/10*b**3 + 0. What is j in c(j) = 0?
-3/5, 0
Solve 24/7*t + 52/7*t**2 + 0 + 48/7*t**4 - 164/7*t**3 = 0.
-1/4, 0, 2/3, 3
Factor 80 + 235/3*q - 5/3*q**2.
-5*(q - 48)*(q + 1)/3
Let c(g) be the second derivative of -g**6/50 + 3*g**5/100 + g**4/10 - 11*g + 2. Solve c(k) = 0 for k.
-1, 0, 2
Factor 2/3*l + 1/3*l**2 - 1/3*l**4 - 2/3*l**3 + 0.
-l*(l - 1)*(l + 1)*(l + 2)/3
Let a = 257 - 252. Let f(i) be the third derivative of 0*i - 5*i**2 + 0*i**4 + 0*i**a + 1/84*i**8 + 0 + 0*i**3 + 0*i**7 + 0*i**6. Factor f(z).
4*z**5
Let -10*f**4 - 17*f**3 + 29*f**3 + 22*f**3 + 2*f**5 - f**5 - 10 + 28*f - 52*f**2 + 9*f = 0. Calculate f.
1, 2, 5
Suppose -19/4*w - 7/2 + 3/4*w**2 = 0. Calculate w.
-2/3, 7
Let j(y) = 15*y**3 + 9*y**2 - 52*y + 39. Let d(n) = 8*n**3 + 4*n**2 - 26*n + 20. Let q(b) = 11*d(b) - 6*j(b). Factor q(f).
-2*(f - 1)**2*(f + 7)
Let z(d) be the first derivative of 2*d**3/21 - 15*d**2/7 + 52*d/7 - 189. Factor z(r).
2*(r - 13)*(r - 2)/7
Let u(o) be the first derivative of o**3/6 + o**2/4 - 3*o - 53. Factor u(q).
(q - 2)*(q + 3)/2
Suppose -5*q + 16 = -9, 3*z - 47 = 5*q. Let x = -20 + z. Factor x - 3 + 0*u + u + u**2 - 3*u.
(u - 1)**2
Let q(a) = a**2 - 4*a + 3. Let r = 88 - 87. Let d be q(r). Suppose -1/3*w**3 + d + 0*w + 2/3*w**5 