 + 3*m + 9 - 6, -4 = 4*m. Factor 4/7*j**3 + 1/7*j**4 + v + 5/7*j**2 + 2/7*j.
j*(j + 1)**2*(j + 2)/7
Solve 869*o**4 - 874*o**4 + 3*o - 3*o + o**5 = 0.
0, 5
Suppose 2*i + 3*x - 13 = 0, x - 10 = 5*i - 51. Factor 14/3*n**2 - 8/3 - i*n.
2*(n - 2)*(7*n + 2)/3
Let z(x) be the second derivative of -125/2*x**2 + 7/6*x**6 + 5/42*x**7 - 115/6*x**4 - 1/2*x**5 - 20*x + 0 + 325/6*x**3. Let z(u) = 0. What is u?
-5, 1
Let n(z) be the second derivative of z**7/315 - z**6/90 + z**5/90 - 5*z**2/2 + 2*z. Let u(o) be the first derivative of n(o). Find x such that u(x) = 0.
0, 1
Let p = 644 + -641. Let w(o) be the first derivative of o**4 + 8*o**2 - 16/3*o**p + 5 + 0*o. Factor w(d).
4*d*(d - 2)**2
Let q = 3565 - 24949/7. Factor -q*r**4 + 8/7*r**2 + 0 + 0*r + 0*r**3 + 2/7*r**5.
2*r**2*(r - 2)**2*(r + 1)/7
Let y = 25/8 + -13/40. Suppose 2/5*p**2 + 12/5 - y*p = 0. What is p?
1, 6
Suppose 1768*s - 1737*s = 124. Factor 6/5*d**s + 0 + 3/5*d**5 - 6/5*d**2 - 3/5*d + 0*d**3.
3*d*(d - 1)*(d + 1)**3/5
Let b = 15 + -11. Suppose 22*l**3 + 4*l**2 - l**2 + l**b - l - 25*l**3 = 0. Calculate l.
0, 1
Let d = 23 - 21. Factor -7*r**2 - 9*r**5 + d*r + 23*r**5 - 13*r**5 - 5*r**4 + 9*r**3.
r*(r - 2)*(r - 1)**3
Let k(i) be the third derivative of i**6/1800 + i**5/120 - i**4/20 - 29*i**3/6 + 24*i**2. Let y(f) be the first derivative of k(f). Suppose y(o) = 0. What is o?
-6, 1
Let x(c) be the third derivative of c**5/390 - c**4/26 - 7*c**3/39 - 180*c**2. Let x(h) = 0. What is h?
-1, 7
Factor 120*z - 39*z**2 - 286 + 33*z + 3*z**3 + 97.
3*(z - 7)*(z - 3)**2
Factor 2*v**5 - 24*v - 1049 + 1049 + 3*v**4 - 7*v**4 + 40*v**2 - 14*v**3.
2*v*(v - 2)**2*(v - 1)*(v + 3)
Let y(v) = 25*v + 229. Let s be y(-9). Find d, given that 1/2*d**2 + 1/2*d + 0 - 1/2*d**3 - 1/2*d**s = 0.
-1, 0, 1
Let q(g) be the third derivative of -g**11/110880 - g**10/37800 - g**9/60480 + 13*g**5/30 + 6*g**2. Let o(y) be the third derivative of q(y). Factor o(b).
-b**3*(b + 1)*(3*b + 1)
Let j(h) be the third derivative of -32/3*h**3 - 6*h**2 - 1/60*h**5 + 2/3*h**4 + 0*h + 0. Find l such that j(l) = 0.
8
Let a(n) be the third derivative of -1/35*n**7 + 1/20*n**6 + 0 + 0*n + 0*n**5 + 1/224*n**8 + 0*n**4 + 0*n**3 - 7*n**2. Factor a(c).
3*c**3*(c - 2)**2/2
Let v(t) be the first derivative of 9*t**7/1120 + 11*t**6/480 + t**5/80 + t**3/3 + 15. Let a(x) be the third derivative of v(x). Let a(r) = 0. Calculate r.
-1, -2/9, 0
Let n(z) = z**2 + 3*z + 41. Let l(k) = 6*k**2 + 14*k + 200. Let j(y) = 3*l(y) - 16*n(y). Solve j(s) = 0 for s.
-4, 7
Let a(j) be the second derivative of j**5/4 - 10*j**4/3 - 155*j**3/6 - 55*j**2 - 9*j + 5. Factor a(o).
5*(o - 11)*(o + 1)*(o + 2)
Let b(q) be the third derivative of 8*q**7/105 + 17*q**6/15 + 51*q**5/20 - 103*q**4/24 + 7*q**3/3 + 46*q**2 - q. Factor b(m).
(m + 2)*(m + 7)*(4*m - 1)**2
Determine t, given that -3/2*t**5 + 0 + 0*t**2 - 5/2*t**4 + 0*t - t**3 = 0.
-1, -2/3, 0
Let f = 32410/17 + -1906. Factor -10/17*h - f - 2/17*h**2.
-2*(h + 1)*(h + 4)/17
Let y be (4 - 6)*((-27)/12 - 0). Let z(d) be the first derivative of -3/5*d**5 + 9/4*d**4 + 7 + 6*d - y*d**2 - d**3. What is b in z(b) = 0?
-1, 1, 2
Let x = -41 - -38. Let c(b) = -b**2. Let u(p) = p**2 - p. Let k(n) = x*u(n) - 6*c(n). Determine i, given that k(i) = 0.
-1, 0
Determine k so that 8/5*k**3 + 22/5*k + 8/5 + 1/5*k**4 + 21/5*k**2 = 0.
-4, -2, -1
Let y be -1 + -21 + 210/9. Let y*j + 1/3*j**2 + 0 = 0. What is j?
-4, 0
Let p = -153 + 273. Factor -4*s**5 + s**5 + p*s**4 - 126*s**4.
-3*s**4*(s + 2)
Let j be 24/52*78/18. Factor -16/3*x**3 - 4 - 28/3*x**j + 56/3*x.
-4*(x - 1)*(x + 3)*(4*x - 1)/3
Let p be (-4)/30*(-3)/(36/140). Factor -2/3 - 10/9*j**2 + p*j + 2/9*j**3.
2*(j - 3)*(j - 1)**2/9
Suppose -1 = g - 6. Suppose d + 0*d = g. Factor 0*u + 2/5*u**d - 2/5*u**3 + 2/5*u**2 - 2/5*u**4 + 0.
2*u**2*(u - 1)**2*(u + 1)/5
Let j(x) be the first derivative of -x**5/24 + 7*x**4/72 + 2*x**3/9 - x**2/3 - 9*x + 15. Let y(p) be the first derivative of j(p). Factor y(k).
-(k - 2)*(k + 1)*(5*k - 2)/6
Let n be 4 - (-160)/(-45) - 220/(-234). Factor -2/13*g**2 - 12/13*g - n.
-2*(g + 3)**2/13
Let q(p) be the first derivative of -p**3/6 - 127*p**2/8 + 16*p - 178. Factor q(r).
-(r + 64)*(2*r - 1)/4
Let b(h) be the third derivative of 4/3*h**3 + 1/6*h**4 - 8*h**2 - 1/15*h**6 + 0*h - 4/15*h**5 + 0 + 1/84*h**8 + 4/105*h**7. Determine u so that b(u) = 0.
-2, -1, 1
Suppose -3*f + 1 + 5 = 0. Suppose 2*t = -4*a - 2, 5*t - 10 + 31 = -f*a. Factor -4*j**a + 1 + 3*j**2 + 2*j - 2.
-(j - 1)**2
Let v = 1851 - 1851. Let y(c) be the second derivative of -11*c + v - 9/16*c**2 - 1/8*c**3 + 1/32*c**4. Determine t so that y(t) = 0.
-1, 3
What is c in 0 + 228/7*c - 2/7*c**2 = 0?
0, 114
Let a(l) be the first derivative of l**6/20 + 3*l**5/40 - 3*l**4/8 - 5*l**3/4 - 3*l**2/2 - l + 11. Let n(m) be the first derivative of a(m). Factor n(o).
3*(o - 2)*(o + 1)**3/2
Let f(q) be the second derivative of 2*q**6/75 - 4*q**5/25 + 4*q**4/15 - q + 34. Factor f(s).
4*s**2*(s - 2)**2/5
Let n(g) be the first derivative of -17*g**5/5 + 135*g**4/4 - 349*g**3/3 + 285*g**2/2 + 18*g + 41. Factor n(q).
-(q - 3)**2*(q - 2)*(17*q + 1)
Let s(t) be the first derivative of 1/2*t**2 + 4 + 0*t + 0*t**3 + 1/540*t**6 + 0*t**4 + 0*t**5. Let x(m) be the second derivative of s(m). Factor x(o).
2*o**3/9
Let f(h) = 25 + 2*h + 0*h - h**2 + 8*h**3 - 28 + 0*h**2. Let l(k) = -k**3 + k**2 + k + 1. Let a(m) = -4*f(m) - 28*l(m). Determine t so that a(t) = 0.
-4, -1
Let g(z) = 6*z**3 + z**2 - 191 + 6*z + 191. Let b(i) = i**3 + i. Let a(j) = -11*b(j) + 2*g(j). Factor a(q).
q*(q + 1)**2
Let w(q) = 35*q**3 - 289*q**2 - 32*q + 289. Let s(z) = -z**4 - z**3 + z**2 - 2*z. Let v(j) = -5*s(j) - 5*w(j). Determine r, given that v(r) = 0.
-1, 1, 17
Let i(j) be the third derivative of j**6/480 - 21*j**5/40 + 1323*j**4/32 - 2*j**2 + 120*j. Determine o so that i(o) = 0.
0, 63
Let i(t) = -8*t**4 - 12*t**3 - 10*t**2 + 6*t - 6. Let k(f) = -7*f**4 - 11*f**3 - 8*f**2 + 6*f - 5. Let b(p) = -5*i(p) + 6*k(p). What is c in b(c) = 0?
-3, -1, 0, 1
Suppose 3407*w + 22 = 3408*w + 5*j, 3*w + 14 = 5*j. Factor -1/2*n**3 - 1/6*n**4 + 1/6*n**w + 1/6*n**5 + 1/3*n + 0.
n*(n - 2)*(n - 1)*(n + 1)**2/6
Suppose -13 = 8*m - 45. Let j(i) = 11*i + 3. Let u be j(3). Factor -3*x**3 - 24 - m*x**2 - u*x - 12*x**2 - 3*x**2 + x**2.
-3*(x + 2)**3
Let w = 26 - 21. Let z = w + 4. Let 21*p**2 - 12*p**2 + 4 - z*p**2 + 6*p - 2*p**3 = 0. What is p?
-1, 2
Let g(m) be the third derivative of 0*m - 7/12*m**5 + 5/24*m**4 + 0*m**3 - 13/42*m**7 + 5/84*m**8 + 0 + 5/8*m**6 - 3*m**2. Find n such that g(n) = 0.
0, 1/4, 1
Let r(f) = -16*f + 20*f - 2 - 24. Let x be r(7). Let 8/7 + 2/7*q**3 - 6/7*q**x + 0*q = 0. Calculate q.
-1, 2
Let m(j) be the first derivative of 5*j**4/4 - 220*j**3 + 14520*j**2 - 425920*j + 169. Find w such that m(w) = 0.
44
Factor 98/5 - 21/5*j - 12/5*j**2 - 1/5*j**3.
-(j - 2)*(j + 7)**2/5
Factor 0*w - 1/10*w**2 - 1/10*w**4 + 0 + 1/5*w**3.
-w**2*(w - 1)**2/10
Let p(o) be the second derivative of 1/120*o**5 + 0*o**2 - 5*o + 0 - 1/36*o**3 - 1/24*o**4 + 1/60*o**6. Factor p(k).
k*(k - 1)*(k + 1)*(3*k + 1)/6
Factor 32 - 23*p**4 + 3*p**4 + 11*p**5 - 117*p**3 + 40*p + p**5 + 17*p**3 - 60*p**2.
4*(p - 4)*(p + 1)**3*(3*p - 2)
Find r such that 6*r**3 - 2*r**4 - 37*r**5 + 39*r**5 - 8*r**3 + 2*r**2 = 0.
-1, 0, 1
Let o(c) be the second derivative of 0 + 3/70*c**5 + 6/7*c**3 - 10*c - 9/28*c**4 - 6/7*c**2. Factor o(p).
3*(p - 2)**2*(2*p - 1)/7
Let s(m) be the first derivative of m - 11 - 1/18*m**4 - 2/9*m**3 + 0*m**2. Let p(j) be the first derivative of s(j). Factor p(f).
-2*f*(f + 2)/3
Suppose -3*v = 113 - 50. Let j be 1 - (6/(-28))/(6/v). What is y in y - j*y**2 - 1 = 0?
2
Let j(z) be the first derivative of z**8/6720 - z**7/1120 + z**5/120 + 10*z**3/3 + 14. Let x(o) be the third derivative of j(o). Factor x(f).
f*(f - 2)**2*(f + 1)/4
Let x = -61 + 63. Let 4*w**2 - 108*w - x*w**2 + 108*w - 8 = 0. Calculate w.
-2, 2
Factor -5/2*o**3 + 0 - 5/2*o**2 + 0*o.
-5*o**2*(o + 1)/2
Let r(l) be the first derivative of -l**6/21 + 62*l**5/35 - 149*l**4/7 + 1276*l**3/21 + 2299*l**2/7 + 2662*l/7 + 101. Factor r(h).
-2*(h - 11)**3*(h + 1)**2/7
Let y(q) be the third derivative of 4*q**2 + 0*q + 1/60*q**5 + 0 + 1/70*q**7 + 0*q**3 - 1/336*q**8 + 0*q**4 - 1/40*q**6. Factor y(r).
-r**2*(r - 1)**3
Let x = 17 - 13.