tor u(s).
2*s*(s - 1)**3/5
Let x(a) be the third derivative of a**8/1512 - 2*a**7/945 + a**5/135 - a**4/108 + 3*a**2. Factor x(l).
2*l*(l - 1)**3*(l + 1)/9
Let k = 87 - 347/4. Determine b so that k*b**2 + 1/4 + 1/2*b = 0.
-1
Let y be (102/(-136))/(1/(-4)). Let 15/2*s**2 + 21/2*s + y = 0. What is s?
-1, -2/5
Let w(z) be the second derivative of z**8/840 + z**7/210 - z**6/60 - z**5/15 + z**4/3 - 5*z**3/6 - 2*z. Let d(c) be the second derivative of w(c). Factor d(n).
2*(n - 1)**2*(n + 2)**2
Find w such that 12*w + 4*w**3 + w**4 + 13*w**2 + 4 + 10*w**3 - 8*w**3 = 0.
-2, -1
Let s(o) = 3*o**2 - 17*o + 14. Suppose 0 = d - 0 - 4. Suppose 3*a - 29 - 4 = 0. Let b(u) = -u**2 + 6*u - 5. Let t(y) = a*b(y) + d*s(y). What is f in t(f) = 0?
1
Let a(i) be the third derivative of -i**7/210 - i**6/45 - i**5/60 + i**4/36 - 4*i**2. Let a(b) = 0. Calculate b.
-2, -1, 0, 1/3
Let t(y) be the second derivative of -y**5/20 - y**4/4 - y**3/3 + 15*y. Factor t(c).
-c*(c + 1)*(c + 2)
Let j(x) be the second derivative of x**6/135 + 2*x**5/45 + x**4/9 + 4*x**3/27 + x**2/9 - 14*x. Factor j(g).
2*(g + 1)**4/9
Let f = -22 + 24. Factor -12*r**f - 3 - 15*r - 4 - 5*r**3 + 2*r**3 + 1.
-3*(r + 1)**2*(r + 2)
Let b(t) be the second derivative of -5*t**4/12 + 10*t**3/3 - 8*t + 1. Factor b(w).
-5*w*(w - 4)
Factor -72/7*x + 162/7*x**2 + 8/7.
2*(9*x - 2)**2/7
Let t be -1 + 1 + (-1 - 1). Let v be (0 - (3 + t)) + 1. Factor v*y - 2/5 + 2/5*y**2.
2*(y - 1)*(y + 1)/5
Suppose 0*s + 21 = 3*s. Suppose -17 = 6*w - s*w. Factor -8*q**2 - 7*q + 6*q + 5*q**4 - 19*q**3 - w*q**4.
-q*(q + 1)*(3*q + 1)*(4*q + 1)
Let o(v) be the second derivative of 2*v + 0*v**2 - 1/24*v**3 + 1/16*v**5 - 1/48*v**4 + 0 - 1/40*v**6. Factor o(m).
-m*(m - 1)**2*(3*m + 1)/4
Factor -4*p**4 - 2*p**3 - 35*p - 35*p**3 - 12 + 6 - 59*p**2 - 3*p**4.
-(p + 1)**2*(p + 3)*(7*p + 2)
Let f = -657/2 - -329. Let 1/2*s**4 - f*s**2 + 0 + 0*s**3 + 1/4*s**5 - 1/4*s = 0. Calculate s.
-1, 0, 1
Suppose -u - 5 = -6*u, 4*k - 11 = -3*u. Factor -2 + 1 + f**3 + 0 - 2*f**3 - 3*f**k - 3*f.
-(f + 1)**3
Let l(f) = -f - 2. Let z be l(-2). Solve 4*o**2 + 2*o + z*o + 0*o**2 = 0.
-1/2, 0
Let h(p) be the first derivative of -3 - 1/10*p**4 + 1/5*p**2 - 2/15*p**3 + 2/5*p. Find n, given that h(n) = 0.
-1, 1
Let y(j) be the third derivative of 2*j**7/455 - 23*j**6/780 - 4*j**5/195 + 17*j**4/156 - 4*j**3/39 + 32*j**2. Suppose y(z) = 0. What is z?
-1, 1/3, 1/2, 4
Suppose -22*q + 4 = -20*q. Determine x so that 0 + 2/7*x**q - 2/7*x = 0.
0, 1
Let d(t) be the first derivative of t**6/3 - 8*t**5/5 + 3*t**4 - 8*t**3/3 + t**2 + 2. Factor d(j).
2*j*(j - 1)**4
Let c(k) be the first derivative of -k**5/70 + k**4/42 - k + 1. Let h(o) be the first derivative of c(o). Factor h(j).
-2*j**2*(j - 1)/7
Let x be (2 - 2)*(-2)/32*-4. Factor 0 + 0*q - 1/3*q**4 + x*q**3 + 1/3*q**2.
-q**2*(q - 1)*(q + 1)/3
Suppose -8 = n + n. Let x(c) = -c**5 - 10*c**3 - 8*c**2 - 5*c. Let u(v) = -v**5 + v**4 - 11*v**3 - 9*v**2 - 6*v. Let r(o) = n*u(o) + 5*x(o). Factor r(s).
-s*(s + 1)**4
Let u(m) be the first derivative of m**8/7560 + m**7/1890 - m**5/270 - m**4/108 + 2*m**3/3 + 1. Let l(w) be the third derivative of u(w). Factor l(d).
2*(d - 1)*(d + 1)**3/9
Let r(f) be the third derivative of f**6/1440 + f**5/480 + f**3/3 + 3*f**2. Let w(g) be the first derivative of r(g). Factor w(l).
l*(l + 1)/4
Let v(o) be the third derivative of -o**5/180 + o**3/18 - 8*o**2. Determine s, given that v(s) = 0.
-1, 1
Let q = 180 - 538/3. Let o(n) be the first derivative of 2/3*n - 4 + q*n**2 + 2/9*n**3. Find g, given that o(g) = 0.
-1
Suppose 0 = -k - 0*k. Let m(i) be the third derivative of -i**2 - 1/15*i**3 + 0*i + 0*i**5 + k + 1/525*i**7 - 1/30*i**4 + 1/150*i**6. Find g such that m(g) = 0.
-1, 1
Factor -6*y + 3/2*y**2 + 0.
3*y*(y - 4)/2
Let p(x) be the third derivative of 0 - 1/150*x**5 - 1/300*x**6 + 1/60*x**4 - 3*x**2 + 0*x + 1/15*x**3. Find l, given that p(l) = 0.
-1, 1
Let u(r) be the first derivative of 8 - 1/5*r**2 - 2/15*r**3 + 0*r. Factor u(p).
-2*p*(p + 1)/5
Let u(h) be the third derivative of -h**7/4620 - h**6/1980 - h**3/3 - 3*h**2. Let y(b) be the first derivative of u(b). Factor y(x).
-2*x**2*(x + 1)/11
Let z(x) be the third derivative of -x**6/30 - x**5/15 + x**4/3 - 11*x**2. Factor z(n).
-4*n*(n - 1)*(n + 2)
Factor -2/3*s**2 - 2/3*s + 0.
-2*s*(s + 1)/3
Let s(h) = -h**2 + 2*h - 20. Let z be s(-9). Let t = z - -597/5. Factor 2/5*v - 2/5*v**4 - 2/5 + 4/5*v**2 - 4/5*v**3 + t*v**5.
2*(v - 1)**3*(v + 1)**2/5
Let c(l) be the first derivative of -l**3/18 - l**2/3 - l/2 + 5. Factor c(g).
-(g + 1)*(g + 3)/6
Let t = -8 + 3. Let k(w) = -5*w**3 - 6*w**2 - 9*w - 2. Let m(b) = -9*b**3 - 12*b**2 - 17*b - 4. Let y(g) = t*k(g) + 3*m(g). Solve y(v) = 0.
-1
Let o be (-4)/(-26) + (575/65 - 6). Let w be 4/(-10) - 98/(-20). Find t, given that 15/2*t - 18*t**4 + 28*t**o - 1 + w*t**5 - 21*t**2 = 0.
1/3, 2/3, 1
Let m(h) be the second derivative of h**6/15 + 3*h**5/10 + h**4/2 + h**3/3 + 9*h. Solve m(o) = 0.
-1, 0
Let z(a) be the first derivative of 3*a**4/4 - 4*a**3 + 6*a**2 - 10. Find s such that z(s) = 0.
0, 2
Let i(k) = k. Let d(g) = 4*g**2 + g + 4. Let l(s) = -s**2 - s - 1. Let b(f) = -d(f) - 6*l(f). Let z(y) = b(y) - i(y). What is w in z(w) = 0?
-1
Factor 0*g + 4/13*g**2 + 0*g**3 - 2/13 - 2/13*g**4.
-2*(g - 1)**2*(g + 1)**2/13
Let n be 3 + (-7 - (3 + -7)). Let y = 6 - 21/4. Let -1/2*j - y*j**2 + n = 0. Calculate j.
-2/3, 0
Let v(u) be the third derivative of -u**6/660 + u**4/44 + 2*u**3/33 - 3*u**2. Suppose v(t) = 0. Calculate t.
-1, 2
Let z(y) be the first derivative of y**4/16 + y**3/6 - y**2/8 - y/2 + 3. Factor z(c).
(c - 1)*(c + 1)*(c + 2)/4
Let f = -3/8 - -19/40. Let i(t) be the first derivative of 3 + 0*t - 2/25*t**5 + 1/5*t**2 - f*t**4 + 2/15*t**3. Let i(n) = 0. Calculate n.
-1, 0, 1
Let a(q) = 4*q**2 - 3. Let o = 13 + 6. Suppose -3*n - o = -5*s, 0 = 4*s + 2*n + n + 1. Let u(w) = 3*w**2 - 2. Let i(f) = s*a(f) - 3*u(f). Factor i(j).
-j**2
Let f be 150/36 - 2/12. Let c = 6 - 4. Let 4*p**c + 4*p**5 + 0*p**f - 2*p**5 - 4*p**4 + 8*p - 10*p = 0. Calculate p.
-1, 0, 1
Determine z, given that z + 0 - 1/2*z**3 + 1/2*z**2 = 0.
-1, 0, 2
Suppose d = -3*r, 4 - 15 = -5*d - 4*r. Let h(u) be the first derivative of -2/21*u**d + 0*u**2 - 3 + 2/7*u. Factor h(g).
-2*(g - 1)*(g + 1)/7
Let m(g) = -2*g + 12. Let v be m(5). Let y(k) be the second derivative of 1/12*k**4 + 0 + v*k - 1/40*k**5 + 0*k**2 - 1/12*k**3. Factor y(h).
-h*(h - 1)**2/2
Let j(v) be the first derivative of -v**6/21 + 8*v**5/35 - 3*v**4/7 + 8*v**3/21 - v**2/7 - 53. Find z, given that j(z) = 0.
0, 1
Solve 8/11*u**2 - 7/11*u - 2/11*u**3 - 2/11*u**4 + 1/11*u**5 + 2/11 = 0 for u.
-2, 1
Let i(q) = q - 1. Let h be 5 + 0 - (-4)/4. Let v be i(h). Factor -4/7*p**4 - 2/7*p**v + 2/7*p + 0 + 0*p**3 + 4/7*p**2.
-2*p*(p - 1)*(p + 1)**3/7
Find r, given that 3*r**4 - 4*r**2 + 3*r**4 - 6*r**4 + 2*r**3 + 2*r**4 = 0.
-2, 0, 1
Suppose -3 = -2*o + 3. Factor -f**4 + 0*f**5 - o*f**5 + 2*f**5.
-f**4*(f + 1)
Let g(u) = -2*u**3 - 6*u**2 + 7*u + 11. Let h(n) = -n**3 - 3*n**2 + 3*n + 5. Let t(q) = 2*g(q) - 5*h(q). Factor t(o).
(o - 1)*(o + 1)*(o + 3)
Let k(m) = m**2 - 10*m + 2. Let q be k(10). Factor -4*w**3 - q*w**2 + 10*w - 6 + 0 + 2*w**3 + 0.
-2*(w - 1)**2*(w + 3)
Factor -1/4*p**2 + 2 + 1/2*p.
-(p - 4)*(p + 2)/4
Suppose 0 = -5*d + r + 2*r, 0 = -3*r. Suppose -4*t = -4*h + 12, 2*h - 2*t = -3*h + 12. Determine i, given that -1/4*i**h - 1/4*i**4 + 1/2*i**3 + d*i + 0 = 0.
0, 1
Let v = 3484/29 - 728479/6090. Let c = v - 7/30. Let -c*j**2 - 2/7*j + 4/7 = 0. Calculate j.
-2, 1
Suppose d - 21 = -3*d + n, -30 = -5*d + 5*n. Let z be 4/(-6) - 32/(-3). Find b, given that -4*b**2 - 5*b**4 - 6*b**2 + 2*b - 1 + z*b**3 + 3*b + b**d = 0.
1
Let i be (0 + 0/(-3))/(-1). Let n(j) be the third derivative of 0 + 2*j**2 + i*j - 1/420*j**6 + 0*j**3 + 0*j**4 + 1/210*j**5. Find f such that n(f) = 0.
0, 1
Suppose -3*y = -8*y - 15. Let a be y/5*(1 + -6). Factor -1/2*p + 0 + 2*p**a + 3/2*p**2.
p*(p + 1)*(4*p - 1)/2
Suppose -6 = 3*a + 18. Let f be a + 2 + 2 - -4. Find v such that -1/3*v**3 + f - 4/3*v - 4/3*v**2 = 0.
-2, 0
Let o be (-12)/20 - (-39)/65. Factor -4/5*i**2 + 1/5*i**3 + 4/5*i + o.
i*(i - 2)**2/5
Let y(t) be the third derivative of t**5/630 + t**4/126 - 9*t**2. Factor y(b).
2*b*(b + 2)/21
Let q = 2/3189 + 12742