- 44/12)/(28/(-231)). Let u(g) be the first derivative of -4 + 20*g**2 + 4*g - n*g**4 + 77/3*g**3. Solve u(j) = 0 for j.
-2/11, 1
Let u(g) be the first derivative of -g**3/5 + 6*g**2/5 + 109. Factor u(p).
-3*p*(p - 4)/5
Let h(a) be the second derivative of a**7/945 + a**6/135 + a**5/54 + a**4/54 - 4*a**2 + 12*a. Let v(l) be the first derivative of h(l). Factor v(d).
2*d*(d + 1)**2*(d + 2)/9
Let l(o) be the first derivative of 5*o**6/6 - 13*o**5/4 - 5*o**4/2 + 50*o**3/3 + 20*o**2 - 8*o - 6. Let y(q) be the first derivative of l(q). Factor y(u).
5*(u - 2)**2*(u + 1)*(5*u + 2)
Let v(x) be the first derivative of 8/27*x**3 + 0*x + 1/27*x**6 + 10 - 2/15*x**5 + 0*x**4 + 0*x**2. What is b in v(b) = 0?
-1, 0, 2
Let j = 96 - 91. Let a(v) be the second derivative of -3/70*v**j + v + 0 - 1/105*v**6 + 0*v**2 + 0*v**3 - 1/21*v**4. Determine g so that a(g) = 0.
-2, -1, 0
Suppose -152 - 23 = -5*y. Factor -13*i**3 + 29*i**3 - 8*i**3 - y*i**2 - 13*i**3.
-5*i**2*(i + 7)
Let n(r) be the first derivative of -r**3/6 + 2*r**2 - 7*r/2 + 65. Solve n(u) = 0 for u.
1, 7
Let w be (-27)/36*(32/(-6) + 0). Let k(h) be the second derivative of 0 - 9/35*h**5 + 0*h**2 + 3/35*h**6 + 8*h + 0*h**3 + 2/7*h**w - 1/98*h**7. Factor k(o).
-3*o**2*(o - 2)**3/7
Factor 505*k**4 + 2*k**3 - 507*k**4 - 6*k**3.
-2*k**3*(k + 2)
Let h = -92 + 86. Let y be h/(-18)*-11 - -4. Factor -1/6*k**5 + 0 + y*k**4 + 0*k + 0*k**3 + 0*k**2.
-k**4*(k - 2)/6
Suppose 0 = 4*j - 2*q - 12, 2*q + 9 = 3*j - 3*q. Let u(w) be the second derivative of -9*w + 0*w**j + 0 - 1/78*w**4 + 1/13*w**2. What is b in u(b) = 0?
-1, 1
Let -32/3*f**4 - 14/3*f + 70/9*f**2 - 22/9 + 8/9*f**5 + 82/9*f**3 = 0. What is f?
-1/2, 1, 11
Determine g, given that 5*g**2 + 0*g**3 + 0*g**3 - 2*g + 2*g**3 + 5*g = 0.
-3/2, -1, 0
Factor 14/9*w + 26/9*w**2 + 10/9*w**3 + 0 - 2/9*w**4.
-2*w*(w - 7)*(w + 1)**2/9
Let m(v) be the second derivative of v**5/10 - 3*v**4 + 59*v**3/3 - 42*v**2 + 319*v. Factor m(x).
2*(x - 14)*(x - 3)*(x - 1)
Let x(v) be the second derivative of 5/12*v**4 + 0 + 5*v**2 + 5/2*v**3 + v. Factor x(t).
5*(t + 1)*(t + 2)
Let b(c) be the third derivative of 0*c + 1/3*c**3 + 1/8*c**4 + 0 - 7*c**2 + 1/60*c**5. Factor b(y).
(y + 1)*(y + 2)
Find a, given that -99/5*a**5 + 0 + 11/5*a**2 + 2/5*a - 191/5*a**4 - 83/5*a**3 = 0.
-1, -1/9, 0, 2/11
Let g = 23/31 + 1/124. Factor -g*k**2 - 3/4 - 3/2*k.
-3*(k + 1)**2/4
Let p = 343/4 + -85. Let s(q) be the second derivative of p*q**4 + 3/20*q**5 - q + 3/2*q**2 + 0 + 3/2*q**3. Suppose s(w) = 0. What is w?
-1
Let g(c) = -8*c**4 + 8*c**3 + 4*c**2 - 8*c - 8. Let x(u) = 7*u**4 - 7*u**3 - 4*u**2 + 7*u + 6. Let m(r) = 3*g(r) + 4*x(r). Factor m(p).
4*p*(p - 1)**2*(p + 1)
Let x be (-7)/(-7)*(-6)/(-21). Let h = -8458/7 - -1222. Suppose -x*c**3 + 128/7 - h*c + 24/7*c**2 = 0. Calculate c.
4
Let i = -1572 - -1574. Let d(c) be the second derivative of 0*c**i + 0 - 3/10*c**5 + 0*c**4 - 1/10*c**6 - 2*c + 0*c**3 + 1/14*c**7. Factor d(k).
3*k**3*(k - 2)*(k + 1)
Let a(n) be the second derivative of -27*n**6/4 - 63*n**5/4 - 65*n**4/24 + 35*n**3/3 - 5*n**2 - 276*n. Factor a(x).
-5*(x + 1)**2*(9*x - 2)**2/2
Suppose -46*y + 2684 = -42*y. Factor 2*k + 2*k + 675*k**2 - y*k**2.
4*k*(k + 1)
Factor -29*f**2 - 2*f**4 - 48*f**2 + 29*f**2 + 5*f**4.
3*f**2*(f - 4)*(f + 4)
Suppose 123 = -z + 126. Solve -261*l**2 + 261*l**2 - 2*l**z - 4 + 6*l = 0.
-2, 1
Suppose 4*u + 3*r = -7, 0*u + r = -5*u + 5. Find w, given that -w**3 + 2*w + 0*w - w**u - w + w**4 = 0.
-1, 0, 1
Let n = 935 + -933. Let 0 + 0*v - 1/2*v**3 + 0*v**n - 1/2*v**5 - v**4 = 0. Calculate v.
-1, 0
Factor 5*a - 9*a**2 - 8*a**2 + 36 + 5*a**2 + 136*a.
-3*(a - 12)*(4*a + 1)
Let g(o) = o**2 - 7*o + 17. Let r be g(4). Let d(b) be the first derivative of -11 - 1/2*b**4 - 2/5*b**r + 2/3*b**3 + 0*b + 1/3*b**6 + 0*b**2. Factor d(z).
2*z**2*(z - 1)**2*(z + 1)
Suppose 0 = 3*c - 3*b - 3, 5*c + 3*b + 67 = 64. Factor -2/9*y**3 + c*y**2 + 0*y - 8/9*y**4 + 0.
-2*y**3*(4*y + 1)/9
Let l = 2823/17 - 25339/153. Factor 2/9*u**2 - 2/9*u**3 + l*u + 0.
-2*u*(u - 2)*(u + 1)/9
Let b(f) be the second derivative of 1/36*f**4 + 26*f + 0 - 2/3*f**2 - 1/6*f**3. Suppose b(w) = 0. Calculate w.
-1, 4
Let c = 499/6 + -83. Suppose -5*t + 7 = 3*d, -57*t + 4*d = -52*t - 14. Factor 0 + c*m**5 - 1/2*m**3 + 1/3*m - 1/6*m**t + 1/6*m**4.
m*(m - 1)**2*(m + 1)*(m + 2)/6
Let r be (-17)/(119/(-28)) - (-4)/5. Solve 9/5 + r*z + 16/5*z**2 = 0.
-3/4
Let p be (369/(-315) - (1 + -2))*(-250)/30. Factor 16/7 + p*z**2 - 44/7*z.
2*(z - 4)*(5*z - 2)/7
Suppose -4*g - 36 = -0*g. Let r(t) = t + 13. Let x be r(g). Find a, given that -1/4*a**3 + 0*a**x + 1/4*a**5 + 0*a + 0 + 0*a**2 = 0.
-1, 0, 1
Let c(v) = -9*v**3 + 24*v**2 - 3*v - 3. Let s(t) = 16*t**3 - 47*t**2 + 5*t + 5. Let f(k) = 5*c(k) + 3*s(k). Let f(y) = 0. What is y?
0, 7
Suppose -o + 5*i - 10 - 1 = 0, i = 3. Find f, given that f**2 - f - o*f - f = 0.
0, 6
Suppose -21 = 10*d - 51. Factor 0 + 1/4*s**d + 0*s**2 + 1/4*s**5 + 0*s - 1/2*s**4.
s**3*(s - 1)**2/4
Determine c, given that -27/2 - 3/8*c**2 - 9/2*c = 0.
-6
Find d such that -80*d**2 - 260*d - 5*d**3 - 30 - 83 - 127 = 0.
-12, -2
Determine u so that -48/7*u**2 - 2/7*u**3 + 48/7 + 2/7*u = 0.
-24, -1, 1
Let r(m) be the third derivative of -13*m**2 - 5/24*m**4 + 1/24*m**6 + 1/4*m**5 - 5/2*m**3 + 0 + 0*m. Factor r(q).
5*(q - 1)*(q + 1)*(q + 3)
Let y = -2 + -8. Let t = -7 - y. Factor -5*b**2 + 12*b + 12 - 4*b**2 - 18*b**4 + 21*b**4 - 6*b**t.
3*(b - 2)**2*(b + 1)**2
Let g(m) be the first derivative of 2*m**5/25 - 3*m**4/5 + 6*m**3/5 - 4*m**2/5 - 118. Factor g(i).
2*i*(i - 4)*(i - 1)**2/5
Let l(o) be the first derivative of -o**8/1680 + o**7/525 - o**6/600 + 17*o**2/2 + 9. Let w(q) be the second derivative of l(q). Find m such that w(m) = 0.
0, 1
Suppose 5 = 2*r + 31. Let q = -11 - r. Suppose 128 - 2*d**3 + 20*d**2 + 21*d**q - 17*d**2 - 96*d = 0. What is d?
4
Suppose 0 = 2*w - w - 2. Let m be ((-235)/(-30))/(-1) + (-64)/(-8). Suppose m*o**4 + 0*o - 1/6*o**w + 0 - 1/6*o**5 + 1/6*o**3 = 0. What is o?
-1, 0, 1
Let c be (12/256)/((-3)/(-2)). Let w = 91/160 + c. Factor 9/5*x**3 + 0 + w*x + 9/5*x**2 + 3/5*x**4.
3*x*(x + 1)**3/5
Let m(i) be the third derivative of -i**6/120 - i**5/60 + 5*i**4/12 - 4*i**3/3 + 192*i**2. Determine f, given that m(f) = 0.
-4, 1, 2
Factor 0 - 16/7*s**2 - 2/7*s**3 + 2/7*s**4 + 24/7*s.
2*s*(s - 2)**2*(s + 3)/7
Suppose -4*f + 18 = -3*f. Let r = f - 14. Factor r*x**4 - 20*x**2 - 6*x + 8*x**2 - 2*x.
4*x*(x - 2)*(x + 1)**2
Let p(x) = 3*x**3 + 3*x**2. Let t = -89 + 88. Let r(v) = v**4 - v**2. Let w(f) = t*p(f) + 3*r(f). Suppose w(z) = 0. Calculate z.
-1, 0, 2
Solve -147/4*q**3 + 1/4*q**4 + 3525/2*q**2 - 25625*q - 93750 = 0.
-3, 50
Let i(v) be the first derivative of -v**6/42 + v**5/5 - 3*v**4/14 - 4*v**3/3 + 20*v**2/7 - 52. Suppose i(l) = 0. What is l?
-2, 0, 2, 5
Let u(y) = -12*y**2 + 11*y + 28. Let j(o) = 13*o**2 - 9*o - 32. Let k(t) = -7*j(t) - 8*u(t). Factor k(s).
5*s*(s - 5)
Find j such that 3*j**2 - 2*j**2 + 501*j - 502*j = 0.
0, 1
Let c = 2219/20 - 439/4. Let k = 101 + -502/5. Factor -3/5*u + k*u**2 - c.
3*(u - 2)*(u + 1)/5
Suppose 9*n + 6 - 24 = 0. Solve 3 + 10*b**n + 34*b - 25*b + 3*b**3 - b**2 = 0.
-1
Let t(u) be the second derivative of u**4/24 + u**3/6 - 2*u**2 + 147*u. What is p in t(p) = 0?
-4, 2
Let y = -3720 - -3722. Factor 10/13*z**3 + 0*z + 0 - 8/13*z**4 - 2/13*z**y.
-2*z**2*(z - 1)*(4*z - 1)/13
Let c(v) = -215*v + 434. Let f be c(2). Find j such that 0 - 38/11*j**f + 4/11*j - 30/11*j**3 - 14/11*j**5 - 2/11*j**2 = 0.
-1, 0, 2/7
Let u(w) = -3*w**3 + 10*w**2 + 11*w - 13. Let y(b) = -2*b**3 + 5*b**2 + 6*b - 6. Let d(n) = -3*u(n) + 5*y(n). Factor d(j).
-(j - 1)*(j + 3)**2
Solve 3/2 - 13/4*k - k**2 - 1/2*k**4 + 13/4*k**3 = 0 for k.
-1, 1/2, 1, 6
Suppose -25*w**2 + 66*w**3 + 64*w**3 + 5*w + 63*w**3 - 198*w**3 + 10 + 15*w**4 = 0. What is w?
-1, -2/3, 1
Suppose 0*v + 4 = -4*v. Let d be 3 + (-6)/3 - v. Factor -q**2 + 5*q**2 - 7*q**d + 0*q + 9*q.
-3*q*(q - 3)
Suppose -16 = -4*h + 4*t - 0*t, -4*t = -2*h + 12. Let y(w) be the first derivative of 0*w + 2 - 1/12*w**3 - 1/4*w**h. What is k in y(k) = 0?
-2, 0
Factor 0*m**5 - 2*m**5 - m**5 + 24*m**4 - 32*m**3 - m**5.
-4*m**3*(m - 4)*(m - 2)
Let v = 51/970 + -1/388. Let y(g) be the third derivative of 0 + 1/40*g**6 + 0*g**4 - g**2 + v*g**5 + 0*g**3 + 0*g. Determi