6 = -7*b + q. Find d such that 6/5*d**2 + 0 - 6/5*d**3 - 2/5*d + 2/5*d**b = 0.
0, 1
Let l(f) be the second derivative of f**9/75600 + f**8/33600 + f**4 - 3*f. Let o(j) be the third derivative of l(j). Factor o(u).
u**3*(u + 1)/5
Let u = -1217 + 1217. Let i(f) be the third derivative of 0 - 1/90*f**6 + u*f**3 + 0*f**5 + 1/315*f**7 + 0*f**4 + 0*f + 4*f**2. Let i(m) = 0. What is m?
0, 2
Suppose 32/5 - 2*x**4 + 84/5*x**3 - 22/5*x**2 - 84/5*x = 0. What is x?
-1, 2/5, 1, 8
Let p(n) = -8*n**3 + 3*n**2 - 3*n - 3. Let x(o) = 17*o + 2 - 16*o + 1 - 2 + o**3. Let v(t) = p(t) + 3*x(t). Find s, given that v(s) = 0.
0, 3/5
Let m(y) be the first derivative of -8/3*y**3 - 1/12*y**4 + 0*y**2 + 2 + 0*y - 1/720*y**6 + 1/60*y**5. Let o(h) be the third derivative of m(h). Factor o(t).
-(t - 2)**2/2
Factor -38/5*w**2 + 4/5*w**4 + 0 + 24/5*w + w**3.
w*(w - 2)*(w + 4)*(4*w - 3)/5
Let o be ((-8)/(-2))/(-2 + 16 + -13). Factor 4/5*p - 3/5*p**o - p**3 + 4/5*p**2 + 0.
-p*(p - 1)*(p + 2)*(3*p + 2)/5
Let m = -12 - -17. Let m - 3*t**2 + t**2 - 8*t**2 - 15 - 25*t = 0. Calculate t.
-2, -1/2
Let -2*l**2 - 11*l**2 - 270 + 17*l**2 - 2*l**2 + 23*l**2 - 665*l = 0. Calculate l.
-2/5, 27
Let c(u) = -7*u**3 + 52*u**2 - 82*u. Let y(h) = -29*h**3 + 209*h**2 - 329*h. Let g(x) = 9*c(x) - 2*y(x). Suppose g(w) = 0. Calculate w.
0, 2, 8
Let s = -1412 - -29654/21. Let d(u) be the third derivative of 0*u - 16/21*u**3 - 5*u**2 + s*u**4 + 0 - 1/210*u**5. Factor d(h).
-2*(h - 4)**2/7
Let a(d) = -2*d**3 + 278 + 18*d + 4*d - 142 - 14*d**2 - 142. Let z(l) = 3*l**3 + 29*l**2 - 45*l + 13. Let o(h) = -11*a(h) - 6*z(h). Factor o(q).
4*(q - 3)*(q - 1)**2
Let b be ((-86)/(-8) - 11)/((-1)/6). Let -1/2*z**2 + z + b = 0. What is z?
-1, 3
Suppose 3*j - 3*q - 3 = 0, -7*j + 3 = -6*j + q. Solve 12 + 5*h**3 - 55*h + 48 - 10*h**j + 0 = 0 for h.
-3, 1, 4
Find c such that 2/9*c**2 + 0*c - 8/9 = 0.
-2, 2
Suppose 12*m - 4*m + 6 = 11*m. Let -2/3 + 4/3*x**3 - 3*x - x**m = 0. What is x?
-1, -1/4, 2
Factor 6 - 1/2*u**3 - 8*u + 7/2*u**2.
-(u - 3)*(u - 2)**2/2
Let b(x) be the first derivative of 3*x**4/4 + 10*x**3/3 - 6*x**2 - 12*x + 1. Let w(v) = 2*v**3 + 7*v**2 - 8*v - 8. Let p(c) = 5*b(c) - 7*w(c). Factor p(a).
(a - 2)*(a + 1)*(a + 2)
Determine a so that -164/9*a - 10/9*a**2 - 64/9 = 0.
-16, -2/5
Let d(l) = 2 + 3*l**2 - 3*l**2 + 0 - 4*l + 2*l**2. Let v(t) = 7*t**2 - 16*t + 9. Let c(a) = -9*d(a) + 2*v(a). Solve c(z) = 0.
0, 1
Let h(v) be the second derivative of v**6/225 - v**5/50 - v**4/9 + 8*v**3/15 + 146*v. Factor h(x).
2*x*(x - 4)*(x - 2)*(x + 3)/15
Let l = -338423/236 - -1434. Let v = 7563/2596 - l. Factor 2/11*m**2 + 16/11*m + v.
2*(m + 4)**2/11
Let k(c) = 108*c**2 + 68*c + 96. Let j(m) = 38*m**2 + 22*m + 32. Let q(a) = -17*j(a) + 6*k(a). What is s in q(s) = 0?
-16, -1
Factor 1/5*g**5 + 0 + 576/5*g**2 + 624/5*g**3 + 49/5*g**4 + 0*g.
g**2*(g + 1)*(g + 24)**2/5
Suppose -188*s - 74 = -225*s. Factor -4/13*d**s - 10/13*d + 12/13 + 2/13*d**3.
2*(d - 3)*(d - 1)*(d + 2)/13
Let d be 1*5/(15/9). Suppose -d*k - 5 = -4*s - 26, -9 = k + 4*s. Factor -1 - 3*y**2 - 2 + 9 + k*y.
-3*(y - 2)*(y + 1)
Let w = 76 - 224. Let f = w + 297/2. Determine p so that -1/2*p**3 + 1 + 3/2*p**2 - f*p**4 + 5/2*p = 0.
-1, 2
Let x be 16 - (0 + (-248)/(-16)). Factor 0 - 2*f - 5/2*f**3 + x*f**4 + 4*f**2.
f*(f - 2)**2*(f - 1)/2
Factor -5/11*j**3 + 6/11 - 7/11*j**2 + 1/11*j**4 + 5/11*j.
(j - 6)*(j - 1)*(j + 1)**2/11
Solve -9/8*g + 9/4*g**3 + 3/2*g**4 - 3*g**2 + 3/2 - 9/8*g**5 = 0.
-1, 1, 4/3
Let h(d) be the first derivative of d**8/10080 + d**7/2520 + d**6/2160 - 29*d**3/3 - 12. Let n(m) be the third derivative of h(m). Factor n(k).
k**2*(k + 1)**2/6
Solve -4*j**2 + 15*j**4 - 8*j**4 - 3*j**4 = 0 for j.
-1, 0, 1
Suppose -2 = -5*t + 8, -w + 5*t = 10. Let d be 1 - -2 - (w - 0). Solve 2*k**d + k**2 + 3*k**2 + 3*k - k = 0 for k.
-1, 0
Let j be (-4)/(-1 + 2) + (40 - 34). Let f(t) be the second derivative of -3*t + 3/20*t**5 + 1/2*t**3 + 0*t**j - 1/2*t**4 + 0. Find h such that f(h) = 0.
0, 1
Let y(j) = -20*j**5 + 54*j**4 - 81*j**3 + 11*j. Let a(l) = 7*l**5 - 18*l**4 + 27*l**3 - 4*l. Let d(x) = -11*a(x) - 4*y(x). Factor d(r).
3*r**3*(r - 3)**2
Suppose 26*m - 68 = 192. Let b(z) = 3*z - 1. Let d be b(2). Let -60*k**2 - 12*k + m*k**5 - 24*k**d - 13*k**5 - 90*k**4 - 111*k**3 = 0. Calculate k.
-1, -2/3, 0
What is l in -243*l - 75 - 65*l**3 + 27*l + 3*l**4 + 17*l**3 - 198*l**2 + 6*l**4 = 0?
-1, 25/3
Let r(u) = 2*u**4 - 94*u**3 - 199*u**2 - 103*u + 15. Let s(n) = n**4 - 47*n**3 - 100*n**2 - 52*n + 9. Let a(m) = 6*r(m) - 10*s(m). Factor a(j).
2*j*(j - 49)*(j + 1)**2
Let v(r) be the third derivative of -r**5/60 + r**4/6 + 7*r**3/3 + 14*r**2. Let s be v(6). Solve 0 + 2/5*c**3 + 2/5*c - 4/5*c**s = 0 for c.
0, 1
Suppose -5*f = -67 + 17. Factor 12 + 10*l**2 - f - 4*l - 26*l**2 + 14 + 4*l**3.
4*(l - 4)*(l - 1)*(l + 1)
Let a = 5773 + -11545/2. Factor 1/4*m**3 + 0*m + a*m**2 + 0.
m**2*(m + 2)/4
Find i, given that 30 - 1/2*i**2 + 14*i = 0.
-2, 30
Let w(h) be the third derivative of h**7/105 + h**6/4 + 13*h**5/30 - 5*h**4/4 - 14*h**3/3 - 2*h**2 - 42. Factor w(b).
2*(b - 1)*(b + 1)**2*(b + 14)
Suppose -3*u + 4*u = 4. Factor 7*o**2 + 3*o + 9*o - u*o**2.
3*o*(o + 4)
Let j(t) be the first derivative of 2/3*t**3 - 20*t - 49 + 9*t**2. Factor j(a).
2*(a - 1)*(a + 10)
Let c = -127/2 - -64. Suppose -3/2*u**3 + c - 5/2*u**2 - 1/2*u = 0. What is u?
-1, 1/3
Let w(f) be the first derivative of 4*f**5/35 - 13*f**4/7 + 44*f**3/7 + 22*f**2 - 56*f + 532. Solve w(r) = 0.
-2, 1, 7
Suppose -2*v + 81 = a, 0*v = v + 3*a - 43. Suppose 0 = -v*i + 39*i + 3. Factor -i*j**2 + 9/5 + 6/5*j.
-3*(j - 1)*(5*j + 3)/5
Let n(q) = q + 22. Let d be n(-20). Determine p so that 3*p**4 - p + 0*p - 3*p**3 - 3*p**d + 4*p + 0*p**4 = 0.
-1, 0, 1
Let u(h) = -11*h + 390. Let i be u(35). Let m(p) be the second derivative of 1/4*p**2 - 1/60*p**6 - 7*p + 1/20*p**i - 1/6*p**3 + 0*p**4 + 0. Factor m(r).
-(r - 1)**3*(r + 1)/2
Let a(g) = -2*g**5 + g**4 - 9*g**3 + 10*g**2 + 7*g. Let w(l) = 3*l**5 - 3*l**4 + 11*l**3 - 9*l**2 - 6*l. Let j(n) = 4*a(n) + 3*w(n). Solve j(s) = 0.
-1, 0, 2, 5
Let z be -2 - (-5)/((-5)/(-5)). Suppose 0 = -z*n - 3*q + 12, -2*n - 5*q + 6 = -5. Factor -32/3*s + 8/3 + 14/3*s**n + 10/3*s**2.
2*(s - 1)*(s + 2)*(7*s - 2)/3
Suppose -4*k - 5*d + 48 = 0, 0*k - 2*k = -2*d - 6. Suppose 2*j + 1 - k = 0. What is h in 4*h**2 + h**2 + 4*h**4 - 3*h**2 + h**5 + 5*h**j = 0?
-2, -1, 0
Let g(u) be the third derivative of u**8/11760 + u**7/1470 + u**6/504 + u**5/420 + 35*u**3/6 - 11*u**2. Let d(i) be the first derivative of g(i). Factor d(f).
f*(f + 1)**2*(f + 2)/7
Let n(v) be the third derivative of 16*v**2 + 1/30*v**6 + 19/60*v**5 + 0*v + 0*v**3 - 5/24*v**4 + 0. Factor n(c).
c*(c + 5)*(4*c - 1)
Let x(r) be the second derivative of 0 - 1/3*r**3 + 2/5*r**2 + 27*r + 2/15*r**4 - 1/50*r**5. Find b, given that x(b) = 0.
1, 2
Let x be (3*7/(-14))/((-1)/2). Solve 24*l - 12*l - 12*l + 2*l**x - 6*l**2 = 0.
0, 3
Let b be (-1 - -3) + (3 - 3). Suppose 0 = a + 5*r + 11, 5*r - 3 = -4*a - b. Factor -3*o - 6*o - o**4 - 3*o**2 - 5*o**4 + 6 + 9*o**3 + 3*o**a.
-3*(o - 2)*(o - 1)**2*(o + 1)
Let m(z) be the third derivative of z**6/60 - 7*z**5/30 + 11*z**4/12 - 5*z**3/3 + 184*z**2. Let m(r) = 0. What is r?
1, 5
Let p(i) be the second derivative of i**4/96 - 13*i**3/16 - 5*i**2/2 + 324*i. Determine s so that p(s) = 0.
-1, 40
Let i = -39 + 40. Let m(v) = 50*v**3 - v. Let b be m(i). Suppose -5*n**2 - 27 + b - 22 = 0. What is n?
0
Factor 1/5*v**2 + 0 + 2/5*v - 3/5*v**3.
-v*(v - 1)*(3*v + 2)/5
Factor 24/11*t**2 + 2/11*t**4 + 0 - 16/11*t - 12/11*t**3.
2*t*(t - 2)**3/11
Let r be (5/4 - 0)*(-166)/(-415). Determine o, given that -1/6*o + 1/6*o**3 - 1/2*o**2 + r = 0.
-1, 1, 3
Let p(a) be the first derivative of -1/10*a**4 + 0*a + 1/10*a**2 + 0*a**3 + 0*a**5 - 6 + 1/30*a**6. Factor p(u).
u*(u - 1)**2*(u + 1)**2/5
Let j(b) = b**3 - 54*b**2 + 85*b - 42. Let w(p) = -p**3 + 56*p**2 - 85*p + 42. Let x(r) = 6*j(r) + 5*w(r). Solve x(m) = 0 for m.
1, 42
Let n(j) be the first derivative of j**5/270 + j**4/36 - 4*j**3/27 - 4*j**2 + 5. Let o(v) be the second derivative of n(v). Let o(w) = 0. What is w?
-4, 1
Let n(g) be the first derivative of 6/5*g**5 + 4*g**3 + 13/4*g**4 + 0*g + 2*g**2 + 1/6*g**6 - 15. Solve n(t) = 0 for t.
-2, -1, 0
Let i be 3*(-28)/(-12)*4. Let c =