j(u) = 0. Calculate u.
-1, 0, 2/3, 1
Let f = 14 - 9. Let r(q) = 7*q**2 + 2*q. Let m(w) = 10*w**2 + 3*w. Suppose 0 = 3*c + 9, -c - 43 = 4*z + 4*c. Let g(u) = f*m(u) + z*r(u). Factor g(l).
l*(l + 1)
Let d(j) be the third derivative of j**6/300 - 7*j**4/60 + 2*j**3/5 + 7*j**2 + 2. Factor d(w).
2*(w - 2)*(w - 1)*(w + 3)/5
Let q be -4 - (-15)/(-10)*24/(-9). Let u(a) be the second derivative of 4*a - 1/8*a**3 - 1/56*a**7 + 0*a**2 + 0 + 0*a**4 + q*a**6 + 3/40*a**5. Factor u(k).
-3*k*(k - 1)**2*(k + 1)**2/4
Factor 0 + 4/5*l**3 + 0*l - 12/5*l**2.
4*l**2*(l - 3)/5
Let w(n) be the first derivative of -2/21*n**3 + 2/7*n**5 - 1/21*n**6 + 8/7*n**2 - 1/2*n**4 + 1 - 8/7*n. Solve w(s) = 0 for s.
-1, 1, 2
Let a = 16/45 + -1/45. Determine i so that -2/3*i + 0 + 1/3*i**3 + a*i**2 = 0.
-2, 0, 1
Let z be 3/56*49/630. Let y(w) be the third derivative of z*w**5 - w**2 + 0 + 0*w + 0*w**3 + 1/96*w**4. Suppose y(n) = 0. Calculate n.
-1, 0
Let g = -25 - -27. Let c(s) be the third derivative of 1/30*s**5 + 0*s**3 + 0 - 1/6*s**4 + 0*s + g*s**2. Factor c(r).
2*r*(r - 2)
Let -3/4*l + 1/4*l**3 + 0*l**2 + 1/2 = 0. What is l?
-2, 1
Suppose u + 8 + 5 = 3*i, -5*i - 4*u = 1. Factor -2*m**4 + 40/9*m - 26/9*m**2 - 20/3*m**i - 8/9.
-2*(m + 2)**2*(3*m - 1)**2/9
What is o in -2*o**2 - 16*o**3 + 4*o**3 - 4*o**5 - 12*o**4 - 2*o**2 = 0?
-1, 0
Let u(q) be the third derivative of -q**5/30 + 4*q**3/3 - 4*q**2. Factor u(g).
-2*(g - 2)*(g + 2)
Factor 2/3*w**2 + 0 + 0*w.
2*w**2/3
Solve 2/3*z**3 + 5488/3 + 392*z + 28*z**2 = 0 for z.
-14
Suppose 0*x - 10 = -10*x. Solve 1/2*s**2 - x - 1/2*s = 0 for s.
-1, 2
Suppose z = 3*u - 46, 2*u + 3*z = 5*z + 32. Suppose 4*h + 0*x + x = u, 4*x - 24 = -4*h. Factor -9*o**h + 9*o - 13*o**3 - 4*o**2 - 2 + 7*o**3.
-(o + 1)*(3*o - 1)*(5*o - 2)
Let z = -299/2 + 150. Let 9/4*o**2 - 3/4*o**4 - 9/4*o + z + 1/4*o**3 = 0. Calculate o.
-2, 1/3, 1
Let o = 2 + -3. Let q = o + 3. Suppose u - 4 + 15*u - 11*u**3 - 4*u**4 - 13*u**2 + 16*u**q = 0. Calculate u.
-2, 1/4, 1
Let p(v) be the first derivative of -v**5/15 - v**4/3 + v**3/9 + 2*v**2/3 - 1. Factor p(z).
-z*(z - 1)*(z + 1)*(z + 4)/3
Suppose -w + 1 = 2*k - 0, -k = -5*w + 5. Suppose 4 = 2*o - k*o. Determine q, given that 0*q**2 + q**2 - 3*q**o = 0.
0
Let a(b) be the third derivative of -b**5/60 - b**4/4 - 3*b**3/2 - 26*b**2. Suppose a(d) = 0. What is d?
-3
Factor 2 + 8*b**2 + b - 2 - b**4 - 7*b**2 - b**3.
-b*(b - 1)*(b + 1)**2
Suppose -3*n - 2*n - 6 = 3*y, 4*n + 23 = -5*y. Let j be (-12)/(-7) + (-2)/y. Factor -2*l**3 + 2*l**5 - 4*l**2 + 3*l**2 + 2*l**4 - l**j.
2*l**2*(l - 1)*(l + 1)**2
Let w = 1775/2 + -887. Determine q so that -1/2*q + w*q**5 + q**4 - q**2 + 0 + 0*q**3 = 0.
-1, 0, 1
Let g(u) be the third derivative of u**8/60480 - u**6/2160 - u**5/10 - 3*u**2. Let b(j) be the third derivative of g(j). Suppose b(s) = 0. Calculate s.
-1, 1
Let f = -19 + 19. Suppose -2*w + 7*w = -20, -i + 4*w + 18 = f. Factor 0*z**i + 2/9*z + 0 - 2/9*z**3.
-2*z*(z - 1)*(z + 1)/9
Factor 0*a + 2*a**4 - 2*a**3 + 0*a + 0*a.
2*a**3*(a - 1)
Let g be -3 + 3*21/9. Let w(l) = 6*l**3 - 3*l**2 + 3*l. Let s(d) = -7*d**3 + 3*d**2 - 4*d. Let j(k) = g*w(k) + 3*s(k). Find h such that j(h) = 0.
0, 1
Let n = 10 - 6. Factor -3 + n*i**3 + 4 - i**2 - 59*i + 55*i.
(i - 1)*(i + 1)*(4*i - 1)
Suppose 2*m = m - 3*n + 1, -m - n = 1. Let z be (4 - (1 - m))*4. Suppose 0 + 1/4*i**z + 0*i - 1/2*i**3 + 1/4*i**2 = 0. Calculate i.
0, 1
Let k(n) be the second derivative of n**6/65 - 7*n**5/65 + 10*n**4/39 - 8*n**3/39 + 6*n. Factor k(g).
2*g*(g - 2)**2*(3*g - 2)/13
Let j be (-381)/(-504) + (-18)/24. Let m(r) be the second derivative of 0*r**4 + 0*r**3 + 1/80*r**5 + j*r**7 - 1/60*r**6 + 0*r**2 - 2*r + 0. Factor m(z).
z**3*(z - 1)**2/4
Let v(r) be the third derivative of r**8/168 + r**7/315 - r**6/135 + r**3/2 + 4*r**2. Let l(a) be the first derivative of v(a). Factor l(h).
2*h**2*(3*h + 2)*(5*h - 2)/3
Let i(m) be the third derivative of -1/12*m**3 - 1/120*m**5 - 1/24*m**4 + 4*m**2 + 0 + 0*m. Factor i(q).
-(q + 1)**2/2
Let r(y) be the first derivative of y**6/18 + 2*y**5/15 - y**4/6 - 8*y**3/9 - 7*y**2/6 - 2*y/3 + 4. Let r(m) = 0. Calculate m.
-1, 2
Let a(r) be the first derivative of -1/2*r - 1/2*r**2 + 4 + 0*r**3 + 1/4*r**4 + 1/10*r**5. Let a(w) = 0. What is w?
-1, 1
Let f(w) be the third derivative of w**7/280 - w**6/360 + w**4/8 + 3*w**2. Let v(q) be the second derivative of f(q). Solve v(l) = 0 for l.
0, 2/9
Let v(o) be the third derivative of 7*o**6/40 - 4*o**5/5 + o**4/2 + 9*o**2. Factor v(q).
3*q*(q - 2)*(7*q - 2)
Let l(d) be the third derivative of -d**7/315 + 3*d**2. Let l(j) = 0. Calculate j.
0
Suppose 3*c = 2*c. Let j be ((c/3)/3)/1. Solve 2/5*o**3 + 0 - 2/5*o**4 + 0*o**2 + j*o = 0.
0, 1
Let k be (-50)/(-4)*(-48)/(-60). Let m be (0 - -1)*k/30. Factor -1/3*f**3 + 0 + 1/3*f - 1/3*f**2 + m*f**4.
f*(f - 1)**2*(f + 1)/3
Let z(x) be the first derivative of -x**4/8 + x**3/6 + 3. Let z(b) = 0. What is b?
0, 1
Let 0 - 3/4*i**3 - 3*i + 15/4*i**2 = 0. Calculate i.
0, 1, 4
Let q(h) be the second derivative of h**4/7 - 3*h**3/14 - 3*h**2/14 + 19*h. Let q(g) = 0. Calculate g.
-1/4, 1
Let x(t) = t**3 - 6*t + 5. Let i(z) = 2 - 5 - z - 1 + 5. Let s(v) = 5*i(v) - x(v). Factor s(r).
-r*(r - 1)*(r + 1)
Let u = -8 - -8. Factor 2/3*g**3 + 2/3*g**2 - 2/3*g**4 - 2/3*g + u.
-2*g*(g - 1)**2*(g + 1)/3
Suppose -4*y + 40 = -2*w - w, w - 20 = -2*y. Factor -3*f**2 - f**2 + 8*f - y*f - 2*f**3.
-2*f*(f + 1)**2
Suppose -p - 4*p - 3*a = -6, -p + 2 = a. Let n(m) be the second derivative of 0*m**2 + 0*m**4 + 2*m + 1/3*m**3 - 1/10*m**5 + p. Factor n(r).
-2*r*(r - 1)*(r + 1)
Let k(n) be the second derivative of n**4/3 - 2*n**3/3 - 13*n. Factor k(x).
4*x*(x - 1)
Suppose -84*p**4 + 16 + 98*p**5 - 72*p - 24*p - 294*p**5 + 68*p**2 + 292*p**3 = 0. What is p?
-1, 2/7, 1
Let j(b) be the second derivative of -b**6/75 + b**5/25 + b**4/30 - 2*b**3/15 + 2*b. Suppose j(w) = 0. Calculate w.
-1, 0, 1, 2
Let c(q) = -q - 1. Let d(w) = 3*w**3 + 21*w**2 + 63*w + 45. Let n(f) = 18*c(f) + d(f). Factor n(i).
3*(i + 1)*(i + 3)**2
Let z(m) be the first derivative of -m**6/180 + m**5/45 - m**4/36 + 2*m**2 + 2. Let k(p) be the second derivative of z(p). Factor k(u).
-2*u*(u - 1)**2/3
Let q(b) be the first derivative of 7*b**6/33 - 18*b**5/55 - 5*b**4/22 + 6*b**3/11 - 2*b**2/11 + 21. Solve q(v) = 0 for v.
-1, 0, 2/7, 1
Let n(l) be the third derivative of 21*l**6/8 - 59*l**5/12 - 5*l**4/3 + 10*l**3/3 - 16*l**2. Factor n(o).
5*(o - 1)*(7*o + 2)*(9*o - 2)
Let w(m) = 30*m**5 - 35*m**4 - 30*m**3 + 35*m**2 - 10. Let q(u) = u**5 - u**4 - u**3 + u**2 - 1. Let f(p) = 10*q(p) - w(p). What is z in f(z) = 0?
-1, 0, 1, 5/4
Let r = -10 - -20. Factor w + 3*w - 2*w**3 - 4*w**3 - 10*w**2 + 2*w**3 + r*w**4.
2*w*(w - 1)*(w + 1)*(5*w - 2)
Let a = 67 - 45. Suppose 0 = 5*c - 3*f - 0*f - 26, f + a = 5*c. Find y, given that -21/2*y**c + 3*y + 3*y**3 - 3/2 + 12*y**2 - 6*y**5 = 0.
-1, 1/4, 1
Let n(k) be the second derivative of 9*k**5/50 + 2*k**4/5 + 4*k**3/15 + 7*k. Determine g so that n(g) = 0.
-2/3, 0
Let c(l) = -9*l**2 + 15*l + 3. Let p(u) be the second derivative of -u**5/20 - 2*u**4/3 + 8*u**3/3 + 2*u**2 + 2*u. Let f(b) = 4*c(b) - 3*p(b). Solve f(m) = 0.
0, 2
Let h(q) = -15*q + 15. Let y(l) = -l**2 + 14*l - 14. Let d(m) = -m**3 - m**2 - 2. Let r be d(-2). Let z(j) = r*h(j) + 3*y(j). Factor z(a).
-3*(a - 2)**2
Let z = -178/11 - -3593/220. Let j = 33/20 - z. Solve l + 1/6*l**2 + j = 0 for l.
-3
Let d(p) be the third derivative of 5*p**8/168 - 9*p**7/35 + 11*p**6/12 - 53*p**5/30 + 2*p**4 - 4*p**3/3 - 34*p**2. Factor d(a).
2*(a - 2)*(a - 1)**3*(5*a - 2)
Let f(v) be the third derivative of v**7/700 + v**6/450 - v**5/100 - v**4/30 - 2*v**3/3 - v**2. Let c(h) be the first derivative of f(h). Solve c(l) = 0.
-1, -2/3, 1
Determine i, given that -2/3*i + 4/9*i**2 - 4/9*i**4 + 8/9*i**3 + 0 - 2/9*i**5 = 0.
-3, -1, 0, 1
Let q be -3 - 1/((-1)/12). Let y be (-3)/(-1)*1/q. Factor 0*k**2 + y*k**4 - 1/3 + 2/3*k**3 - 2/3*k.
(k - 1)*(k + 1)**3/3
Let t(m) = m + 6. Let a be t(-3). Let i(r) = 2*r + 14. Let p be i(-4). Factor -k**4 - p*k**2 + k - 1 + 0 + a*k + 4*k**3.
-(k - 1)**4
Let m(w) be the third derivative of w**8/13440 + w**7/1680 + w**6/720 + w**4/8 - 4*w**2. Let r(y) be the second derivative of m(y). Factor r(g).
g*(g + 1)*(g + 2)/2
Let o = 224 - 221. Let r(i) b