*f + 6 = 0, 4*z - f - 11 = -2*f. What is x in -x**z - 2/3*x**3 + 0 - 1/3*x = 0?
-1, -1/2, 0
Factor 1/6*d**3 + 0 + 0*d - 23/3*d**2.
d**2*(d - 46)/6
Let o(g) be the first derivative of -11 + 1/2*g**3 + 0*g - 9/4*g**2. Find t, given that o(t) = 0.
0, 3
Let g(x) be the third derivative of x**8/26880 + x**7/420 + x**6/15 + 2*x**5/5 - 6*x**2. Let u(q) be the third derivative of g(q). Factor u(r).
3*(r + 8)**2/4
Let z be 18/100*58*1/(-6). Let r = -6/25 - z. Let -u**2 - 1/2 + r*u = 0. Calculate u.
1/2, 1
Let g(t) be the first derivative of -t**3/9 - t**2/6 + 4*t - 106. Solve g(h) = 0.
-4, 3
Let h be ((-85)/850)/(6/(-70)). Find b, given that -1/6*b**3 + 1/2 - h*b + 5/6*b**2 = 0.
1, 3
Solve 7*k + 23 + 11 + 45*k - 10 + 11*k**4 - 143*k**2 + 54*k + 2*k**3 = 0 for k.
-4, -2/11, 1, 3
Let r(w) = -4*w**3 + 6*w + 6. Let v(q) = 9*q**3 - q**2 - 13*q - 13. Suppose 5*f - 2*f = 4*h + 30, 3*h + 3*f + 12 = 0. Let l(t) = h*v(t) - 13*r(t). Factor l(u).
-2*u**2*(u - 3)
Let i be 3/7*(-6)/(-10). Let v = i + 1/7. Factor 4/5*y + 0 - v*y**2.
-2*y*(y - 2)/5
Suppose 80 + 416/3*y + 76/3*y**2 - 44*y**3 - 28/3*y**4 + 4/3*y**5 = 0. Calculate y.
-3, -1, 2, 10
Let l(k) be the second derivative of -k**9/6048 + k**8/672 - k**7/210 + k**6/180 + 2*k**3/3 - 12*k. Let o(f) be the second derivative of l(f). Factor o(c).
-c**2*(c - 2)**2*(c - 1)/2
Let f(d) = -2*d**4 - 50*d**3 + 226*d**2 + 832*d - 1016. Let o(m) = -2*m**4 - m**3 - m**2 - 1. Let a(q) = -f(q) + 2*o(q). Let a(c) = 0. Calculate c.
-3, 1, 13
Suppose -6 = -4*v + 6*v. Let r be 44/24 + 1/v. Factor -r*n + 3/4*n**2 + 0.
3*n*(n - 2)/4
Let n(q) be the second derivative of q**4/20 - q**3/10 - 3*q**2/5 + 8*q. Solve n(m) = 0.
-1, 2
Let a(l) be the first derivative of -4*l**6/3 - 138*l**5/5 - 185*l**4/2 + 1996*l**3/3 - 540*l**2 - 400*l + 301. Determine o so that a(o) = 0.
-10, -1/4, 1, 2
Let b(j) be the second derivative of -j**7/1120 - j**6/360 + j**5/120 + 3*j**3 - 8*j. Let m(k) be the second derivative of b(k). Factor m(q).
-q*(q + 2)*(3*q - 2)/4
Let c(l) = l**3 + 6*l**2 + 3*l - 7. Let k be c(-5). Suppose 4*u = -k*z + 22, u - 8 = z - 3*z. Suppose -8*a**4 + 10*a**4 + 0 + u*a - 4*a**3 - 2 = 0. Calculate a.
-1, 1
Suppose 204*v + 36 = 439*v - 223*v. Suppose 2*f - 2*f**v + 1/3*f**4 + 7/3 - 8/3*f**2 = 0. Calculate f.
-1, 1, 7
Suppose 5*a + 4*y + 10 = 0, -8*a + 3*a - 15 = 5*y. Let -4/3*d**3 - 2*d**a - 2/3*d + 0 = 0. What is d?
-1, -1/2, 0
Let 3 - 27 + 13*m**2 - 11*m**2 + 2*m + 6*m = 0. What is m?
-6, 2
Factor 1/7*q**3 + 0 + 6/7*q**2 + 8/7*q.
q*(q + 2)*(q + 4)/7
Let d be 0 - (-16)/(-12)*(-1)/2. Let r(a) be the second derivative of 0 + d*a**3 + 5*a - 1/6*a**4 - a**2. Let r(l) = 0. Calculate l.
1
Let s(d) be the second derivative of -d**7/630 - 7*d**4/6 - 21*d. Let v(k) be the third derivative of s(k). Find p, given that v(p) = 0.
0
Let i(y) = 4*y**4 + 32*y**3 + 98*y**2 + 130*y + 64. Let g(n) = -8*n**4 - 64*n**3 - 197*n**2 - 261*n - 128. Let f(k) = -2*g(k) - 5*i(k). Factor f(j).
-4*(j + 2)**4
Let y = 609 - 609. Let r(q) be the first derivative of 1/5*q**5 + 1/3*q**3 + y*q**2 - 2 + 0*q - 1/2*q**4. Factor r(w).
w**2*(w - 1)**2
Suppose 6*v + 56 = 2*v. Let d(m) = 2*m**2 + 8*m + 13. Let b(g) = 1. Let u(r) = v*b(r) + 2*d(r). Factor u(p).
4*(p + 1)*(p + 3)
Let h be 1795/(-360) + (-30)/(-6). Let d(s) be the third derivative of -1/360*s**6 - 1/60*s**5 + 3*s**2 + h*s**4 + 0*s**3 + 0 + 0*s + 1/210*s**7. Factor d(q).
q*(q - 1)*(q + 1)*(3*q - 1)/3
Let q(c) be the third derivative of 7*c**5/20 + 27*c**4/8 - 3*c**3/2 - 34*c**2. Let a(h) = -5*h**2 - 20*h + 2. Let f(j) = 9*a(j) + 2*q(j). Factor f(l).
-3*l*(l + 6)
Let d(u) be the second derivative of -u**5/150 - 2*u**4/15 - 4*u**3/5 + 86*u. Factor d(f).
-2*f*(f + 6)**2/15
Let l be (-1 + 7)*6/36 - -3. Solve -15/2*h**2 + 3/8*h**5 + 3*h + 0 - 21/8*h**l + 27/4*h**3 = 0 for h.
0, 1, 2
Let h be (-38)/(-14) + (632/56 - 11). Find q such that -6*q**h - 2/9*q - 2*q**2 - 6*q**4 + 0 = 0.
-1/3, 0
Let x(c) be the third derivative of -c**6/360 - 11*c**5/20 - 675*c**2. Suppose x(y) = 0. What is y?
-99, 0
Let p(g) be the second derivative of -g**6/70 + g**4/14 - 3*g**2/14 - 3*g - 9. Factor p(h).
-3*(h - 1)**2*(h + 1)**2/7
Let s(n) be the first derivative of 4*n**4 + 52*n**3/3 + 8*n**2 - 48*n + 53. Find l such that s(l) = 0.
-2, 3/4
Suppose -4/15*i - 16/15 + 2/3*i**2 - 2/15*i**3 = 0. Calculate i.
-1, 2, 4
Let s(a) be the first derivative of a**8/560 - a**7/56 + a**6/15 - a**5/10 - 5*a**3/3 - 8. Let m(v) be the third derivative of s(v). Factor m(o).
3*o*(o - 2)**2*(o - 1)
Suppose 3*o = 5*x + 19, -x + 15 - 2 = 5*o. Factor 13/4*m**o + 0 + 1/2*m + 11/4*m**2 + m**4.
m*(m + 1)*(m + 2)*(4*m + 1)/4
Factor -383 + 440*b**2 - 292*b + 635 - 28*b**3 - 372.
-4*(b - 15)*(b - 1)*(7*b + 2)
Let m = 403/57 - 128/19. Let n(b) be the third derivative of 0 - 1/60*b**5 - m*b**3 + 8*b**2 - 1/8*b**4 + 0*b. Solve n(c) = 0.
-2, -1
Let l(i) be the second derivative of i**5/50 - i**4/15 - 29*i**3/15 + 6*i**2 - 25*i - 3. Find z, given that l(z) = 0.
-5, 1, 6
Let t(b) = -b**3 - 4*b**2 + 3*b - 8. Let c be t(-5). Solve -z**c + 0*z + 7*z - 6*z - 3 + 3*z = 0 for z.
1, 3
Let b(u) be the first derivative of -1/1080*u**6 + 0*u**4 + 3 + 0*u - 1/120*u**5 + 0*u**2 + 2/3*u**3. Let i(l) be the third derivative of b(l). Factor i(f).
-f*(f + 3)/3
Determine h, given that 18/5*h**2 + 8/5*h**3 + 0 + 28/15*h - 2/15*h**4 = 0.
-1, 0, 14
Let b(c) be the second derivative of 1/30*c**6 + 0 + 0*c**5 + 7*c - 1/4*c**4 + 0*c**2 - 1/3*c**3. Determine u so that b(u) = 0.
-1, 0, 2
Let n(h) be the third derivative of -15*h**2 + 1/3*h**5 + 25/24*h**4 + 0 + 0*h + 1/24*h**6 + 5/3*h**3. Factor n(f).
5*(f + 1)**2*(f + 2)
Let k be (-1 + -140)/(1*(-1 - 0)). Let t = -135 + k. Solve t*z**2 + 0 - 3*z**3 - 6*z**4 - 3/2*z**5 + 9/2*z = 0.
-3, -1, 0, 1
Suppose 0 - 1/7*y - 40/7*y**2 + 41/7*y**3 = 0. Calculate y.
-1/41, 0, 1
Suppose 18*p - 15*p - 78 = 0. Solve 36*i**2 + 14*i - p*i**4 + 2*i - 28*i**4 + 2 = 0 for i.
-1/3, 1
Let z(q) be the first derivative of -22/15*q**3 + 7/10*q**4 + 0*q - 2/25*q**5 - 10 + q**2. What is u in z(u) = 0?
0, 1, 5
Let u = 539 + -6467/12. Let h(b) be the third derivative of u*b**4 + 0*b**3 + b**2 + 0*b + 0 + 1/20*b**5. Find r, given that h(r) = 0.
-2/3, 0
Let n(p) be the second derivative of p**8/1344 + 7*p**4/12 + 24*p. Let k(v) be the third derivative of n(v). Factor k(i).
5*i**3
Let i(u) = 6*u**5 - 18*u**4 - 47*u**3 - 23*u**2 + 7*u - 7. Let m(t) = 2*t**5 - 6*t**4 - 16*t**3 - 8*t**2 + 2*t - 2. Let h(z) = -2*i(z) + 7*m(z). Factor h(l).
2*l**2*(l - 5)*(l + 1)**2
Let a be (5/(-45))/((-30)/27). Let k(q) be the third derivative of -a*q**3 + 6*q**2 - 3/20*q**5 + 9/200*q**6 + 0*q + 0 + 7/40*q**4. Suppose k(f) = 0. What is f?
1/3, 1
Let f(b) be the third derivative of 0*b + b**2 - 1/30*b**6 + 1/8*b**4 + 1/3*b**3 + 0 + 3/40*b**5. Let z(h) be the first derivative of f(h). Factor z(q).
-3*(q - 1)*(4*q + 1)
Factor 3/8*k**2 - 153/8 + 21/4*k.
3*(k - 3)*(k + 17)/8
Determine l so that 40 + 32/3*l + 2/3*l**2 = 0.
-10, -6
Suppose 3*i - 58 = -5*q, 2*q = 3*q - 2*i - 9. Determine t so that 118 + 50*t + 7 + 10*t**2 + 6*t**2 - q*t**2 = 0.
-5
Let p(o) be the second derivative of -o**6/20 - 9*o**5/40 + 11*o**4/8 + 3*o**3/4 - 15*o**2/2 + 245*o. Solve p(j) = 0 for j.
-5, -1, 1, 2
Let a be (2/4)/((-1)/(-16)). Factor 44*y**4 - 108*y**4 - 144*y**5 - a*y**2 + 116*y**5 - 44*y**3.
-4*y**2*(y + 1)**2*(7*y + 2)
Let z(p) = p**2 + 5*p - 3. Let b be z(-6). Let t be (9/(-540)*6)/((-6)/15). What is q in t*q**4 - 1/4*q - 3/4*q**b + 0 + 3/4*q**2 = 0?
0, 1
Let l be (3 - (4 - -12)) + -2. Let a = -5 - l. Factor -8*p**2 - 12*p**3 - 7*p**2 - a*p + 7*p.
-3*p*(p + 1)*(4*p + 1)
Factor 336*d + 1/5*d**3 + 83/5*d**2 - 1764/5.
(d - 1)*(d + 42)**2/5
Factor -21*s**4 + 5*s**4 + 28*s**4 - 8*s**3 + 3*s + 5*s - 12*s**2.
4*s*(s - 1)*(s + 1)*(3*s - 2)
Let r(t) = 3*t + 21. Let o be r(-11). Let m be ((-21)/(-35))/(o/(-10)). Factor -m - 1/4*d**2 - 3/4*d.
-(d + 1)*(d + 2)/4
Let g be 6*((-21)/(-6) - 3). Factor 3*j**3 - 4*j**3 - j**g + 4*j**2 - 2*j.
-2*j*(j - 1)**2
Let k(h) be the second derivative of -13*h + 0 + 1/6*h**4 + 0*h**2 - 4/3*h**3. What is p in k(p) = 0?
0, 4
Let g(f) be the second derivative of -f**8/1344 - f**7/420 - f**6/480 - 5*f**2/2 + 11*f. Let n(z) be the first derivative of g(z). Factor n(s).
-s**3*(s + 1)**2/4
Let h(k) = -k