= 0.
-1, 1
Let g = 20778 - 20774. Factor 0*a + 14/5*a**5 + 6/5*a**3 - 24/5*a**g + 4/5*a**2 + 0.
2*a**2*(a - 1)**2*(7*a + 2)/5
Let m(f) be the third derivative of 1/3*f**3 - 22*f**2 + 0 + 2/75*f**5 - 3/20*f**4 + 0*f. Factor m(j).
2*(j - 1)*(4*j - 5)/5
Let u(w) be the second derivative of -w**5/50 + 4*w**4/15 + w**3/15 - 8*w**2/5 - 15*w - 1. Solve u(p) = 0 for p.
-1, 1, 8
Let j(l) be the second derivative of 1/8*l**4 - 1/20*l**5 + 0 + 32*l + 3/4*l**2 + 2/3*l**3. Suppose j(u) = 0. What is u?
-1, -1/2, 3
Let a be (-46 - -40)/(-3 + 5 - (-57)/(-12)). Solve 18/11*l**3 + 0*l**2 - a*l - 6/11*l**4 + 0 = 0.
-1, 0, 2
Let d be (-1 + (-9)/(-4))/(46/2024*110). Let -1/2 - 1/4*k + 1/4*k**3 + d*k**2 = 0. What is k?
-2, -1, 1
Suppose -3*c = -l - 14, -9*c = -7*c + 5*l + 19. Suppose -2*n + 8 = -5*w + 2*n, c*w = -2*n + 4. Solve -1/5 + w*g + 1/5*g**2 = 0 for g.
-1, 1
Let s(t) be the first derivative of 2*t**6/15 + 2*t**5/5 - 4*t**3/3 - 2*t**2 - 14*t + 10. Let i(d) be the first derivative of s(d). Factor i(x).
4*(x - 1)*(x + 1)**3
Let y(w) = 7*w - 2. Let z be y(2). Suppose -v - 6 = -z. Let v*p**2 - 5 + 4 - 2*p - 7*p**2 = 0. Calculate p.
-1
Let p = -53 + 59. Let g(o) = -18*o**2 - 10*o + 6. Let c(f) = -54*f**2 - 29*f + 17. Let x(q) = p*c(q) - 17*g(q). Solve x(w) = 0.
-2/9, 0
Let x(r) be the first derivative of -1/5*r**2 - 2/15*r**3 - 39 + 0*r. Factor x(p).
-2*p*(p + 1)/5
Suppose 0*t = t - 3, 3*q - t = 39. Let j(n) = n**2 + 2*n - 4. Let v be j(-5). Factor -v*c**4 + 1 + 2 - 6*c**2 + q*c**4.
3*(c - 1)**2*(c + 1)**2
Let w(b) be the first derivative of -14 + 10/33*b**3 - 1/22*b**4 + 8/11*b - 8/11*b**2. Factor w(z).
-2*(z - 2)**2*(z - 1)/11
Let b(z) be the third derivative of -z**11/166320 + z**9/15120 - z**7/2520 - 7*z**5/60 - 8*z**2. Let g(t) be the third derivative of b(t). Factor g(w).
-2*w*(w - 1)**2*(w + 1)**2
Let s(i) = i**3 + 10*i**2 + 9*i + 4. Let v be s(-9). Suppose 2*x = r + 8, -4*r - 1 - v = x. Factor 0*p**2 + 5*p**3 + 2*p**2 - x*p**3.
2*p**2*(p + 1)
Let o be (-1 - -2)/((-1)/17). Let y = o - -19. Factor 0*h**5 + 3 + 6*h**3 - 15*h**4 + 12*h**y - 4*h**5 + 3*h**5 + 7*h**5 - 12*h.
3*(h - 1)**3*(h + 1)*(2*h - 1)
What is x in 21518*x**2 - 4356 - 17*x**3 - x**4 + 87*x**3 + 4620*x - 22875*x**2 = 0?
2, 33
Let r(c) be the second derivative of c**4/18 - 2*c**3/9 + c**2/3 - 68*c. Factor r(n).
2*(n - 1)**2/3
Suppose 0 - 10 = -v + 3*j, -4*v = 3*j - 25. Suppose v*y - 6*y = 3*c, 0 = 5*c - 5*y. Factor -2/9*q**5 + 1/9*q**2 + 5/9*q**4 + c*q - 4/9*q**3 + 0.
-q**2*(q - 1)**2*(2*q - 1)/9
Factor -1/3*q + 1/3*q**2 - 2.
(q - 3)*(q + 2)/3
Let b(y) be the second derivative of y**6/105 - 6*y**5/35 + 6*y**4/7 + 3*y - 2. Factor b(p).
2*p**2*(p - 6)**2/7
Factor 3/4*p**2 - 1/4 + 1/2*p**3 + 0*p.
(p + 1)**2*(2*p - 1)/4
Factor -7/3*y**2 + 1/3*y**3 + 16/3*y - 4.
(y - 3)*(y - 2)**2/3
Suppose -1049*k = -1045*k - 20. Let z(v) be the second derivative of 0*v**k + 0*v**3 - 6*v - 2/7*v**2 + 2/21*v**4 + 0 - 2/105*v**6. Suppose z(n) = 0. What is n?
-1, 1
Let -100*k**4 - 35*k**5 + 29*k**3 + 10542 + 37*k**3 - 16*k**3 - 15*k - 10542 + 100*k**2 = 0. What is k?
-3, -1, 0, 1/7, 1
Suppose 1903 = o + 1900. Find z, given that 0*z + 0*z**2 + 0 - 2/7*z**4 - 2/7*z**o = 0.
-1, 0
Let r(m) = -m**3 + 7*m**2 - 8*m + 132. Let z be r(8). Factor 1/3*y**z + 0 + 1/9*y**5 - 8/9*y - 2/9*y**3 - 4/3*y**2.
y*(y - 2)*(y + 1)*(y + 2)**2/9
Let n(c) be the second derivative of 1/150*c**5 + 0 + 2*c**2 + 0*c**4 + 0*c**3 + c. Let o(k) be the first derivative of n(k). Factor o(a).
2*a**2/5
Suppose 17*b = -16*b - 6*b + 78. Factor -6/5*z - 2/5*z**3 + 0 + 8/5*z**b.
-2*z*(z - 3)*(z - 1)/5
Let w(t) be the first derivative of 4*t**3/15 - 12*t**2/5 - 28*t/5 - 938. Suppose w(n) = 0. What is n?
-1, 7
Suppose 5*l = 3*z + 21, 5*l - 15 = -3*z + 8*z. Suppose -u + l = 3. Determine a so that 1/5*a - 1/5*a**u + 0*a**2 + 0 = 0.
-1, 0, 1
Suppose 0*p - 3*p + 27 = 0. Suppose -14*l**2 + p*l**2 + 7*l**2 = 0. What is l?
0
Let j(h) be the second derivative of -h**6/135 - 23*h**5/90 - 80*h**4/27 - 100*h**3/9 - 56*h. Factor j(o).
-2*o*(o + 3)*(o + 10)**2/9
Let d be 15/(-100)*(-116)/(-6). Let k = 9/2 + d. Factor 2/5 + 8/5*c**2 - k*c.
2*(2*c - 1)**2/5
Let c(b) be the first derivative of -11*b**5/270 + b**4/54 - 7*b**2/2 - 11. Let v(a) be the second derivative of c(a). Factor v(u).
-2*u*(11*u - 2)/9
Let g(n) be the second derivative of n**5/10 - n**4/2 - 35*n**3 + 539*n**2 + 245*n - 2. Factor g(k).
2*(k - 7)**2*(k + 11)
Let p(i) be the first derivative of -i**3/18 + 3*i**2/4 - 4*i/3 - 22. Factor p(n).
-(n - 8)*(n - 1)/6
Let -18/11*j**3 - 158/11*j**2 - 288/11*j + 72/11 = 0. Calculate j.
-6, -3, 2/9
Let j(n) be the third derivative of -n**7/3360 - n**6/320 - 2*n**4/3 + 33*n**2. Let m(x) be the second derivative of j(x). Suppose m(v) = 0. What is v?
-3, 0
Suppose 29*z - 187 + 129 = 0. Let 16/3*u - 4 - 7/3*u**z + 1/3*u**3 = 0. Calculate u.
2, 3
Let y(p) be the first derivative of -p**8/10920 - p**7/5460 + p**6/468 - p**5/260 - 10*p**3/3 + 42. Let o(f) be the third derivative of y(f). Factor o(n).
-2*n*(n - 1)**2*(n + 3)/13
Let h be -3*-10*20/150. Factor 0 + 6/5*d**h + 0*d**2 + 0*d + 3/5*d**3.
3*d**3*(2*d + 1)/5
Let m(f) be the third derivative of -1/70*f**7 + 7/40*f**6 - 27*f**2 + 13/8*f**4 + 0 - 2*f**3 - 3/4*f**5 + 0*f. Find y, given that m(y) = 0.
1, 4
Factor d**5 - 58*d**2 + 3*d**4 - 18*d**4 + 75*d**3 - 2*d - 87*d**2 + 122*d - 36.
(d - 6)**2*(d - 1)**3
Let a(g) = -g**3 + g**2 - g. Let p be -28 + (-1 + 3 - 2). Let w(r) = -6*r**3 + 4*r**2 - 7*r + 4. Let n(k) = p*a(k) + 4*w(k). Let n(j) = 0. What is j?
-1, 2
Let a(w) be the first derivative of w**6/6 - 3*w**5/2 + 15*w**4/4 - 10*w**3/3 + 20*w + 25. Let j(z) be the first derivative of a(z). Factor j(m).
5*m*(m - 4)*(m - 1)**2
Let v(o) be the second derivative of -o**4/3 - 64*o**3/3 - 62*o**2 + 37*o. Determine h so that v(h) = 0.
-31, -1
Let s(d) be the third derivative of -d**7/1155 + 23*d**6/660 - 91*d**5/165 + 136*d**4/33 - 128*d**3/11 - 558*d**2. Determine i so that s(i) = 0.
1, 6, 8
Let m = -6234 + 6237. Let -2/7 - 4/21*w**m - 2/21*w**4 + 4/21*w + 8/21*w**2 = 0. What is w?
-3, -1, 1
Suppose -17 + 14 = 3*d. Let z = 4 + d. Factor 5*q**2 + 4*q**2 - 2*q - 7*q**2 + z*q**2.
q*(5*q - 2)
Let b(y) = -y**3 - 3*y**2 + 2*y - 1. Let o be b(-4). Let m(z) = z**2 - 18*z + 20. Let t be m(17). Solve o*v + 8*v - t*v**3 - 4 + 5*v**2 - 9*v - 2*v = 0 for v.
-1, 2/3, 2
Suppose 27*c - 3 = w + 29*c, -3*w - 5*c = 6. Factor 5/3*d**2 - 5/2*d + 5/6 - 5/2*d**4 + 5/3*d**w + 5/6*d**5.
5*(d - 1)**4*(d + 1)/6
Let z(h) = h - 6. Let i be z(16). What is b in 5*b**5 - 2*b + 11*b**4 + 3*b**4 - 10*b**2 - 13*b - 5 + i*b**3 + b**4 = 0?
-1, 1
Let z(s) = -5*s**2 + 5*s - 23. Let v(n) = -2*n**2 + 2*n - 1. Let g(i) = 6*v(i) - 2*z(i). Determine o, given that g(o) = 0.
-4, 5
Factor 150*b**2 - 117 - 157*b**2 + 77*b**3 - 78*b**3 + 69*b.
-(b - 3)**2*(b + 13)
Factor -32*c**3 + 7*c**2 - 4*c + 97*c**3 - 31*c**3 - 35*c**3 - 12.
-(c - 6)*(c - 2)*(c + 1)
Let t be (6/(-4))/(12/64). Let a be 3/(12/t + 3). Determine n, given that -n**2 + 2*n - 3 + 2*n**a + 2*n - 6*n = 0.
-1, 3
Let j be 112/32*(-40)/(-7). Determine f so that 1 - 72*f**2 - 28*f**3 - 4 - j*f**3 - 27*f = 0.
-1, -1/4
Let w be (114/133)/((-4)/(-14)) - 1. Factor 271*f**2 + 4*f**3 + 0*f - 125*f**w - 8 - 138*f**2 - 4*f.
4*(f - 1)*(f + 1)*(f + 2)
Let r(i) be the second derivative of 2*i**6/15 + 7*i**5/4 - 49*i**4/12 + 5*i**3/3 - 5*i + 5. Factor r(c).
c*(c - 1)*(c + 10)*(4*c - 1)
Factor 109*i - 3*i**2 - 5 + 0*i**2 - 93*i.
-(i - 5)*(3*i - 1)
Let o(p) = 4*p**3 + p**2 - 20*p + 12. Let b(n) = -25*n**3 - 6*n**2 + 121*n - 73. Let u(w) = -6*b(w) - 34*o(w). Suppose u(y) = 0. Calculate y.
-15/7, 1
Let a = 24 - 20. Let r(f) = -f**2 - 8*f - 21. Let x(l) = l. Let y(d) = -r(d) + 6*x(d). Let s(o) = -o**2 - 15*o - 20. Let k(z) = a*s(z) + 5*y(z). Solve k(m) = 0.
-5
Let f(t) = 8*t**2 - 102*t - 38. Let n = 31 + -37. Let h(d) = d**2 - d + 1. Let y(q) = n*h(q) - f(q). Factor y(l).
-2*(l - 8)*(7*l + 2)
Suppose -b + 0*b = -2. Let p(a) be the first derivative of -a**2 + b*a + 7 + 1/2*a**4 - 2/3*a**3. Find i, given that p(i) = 0.
-1, 1
Let j(p) be the second derivative of p**5/40 - p**4 + 39*p**3/4 + 169*p**2/2 + p - 1. Factor j(h).
(h - 13)**2*(h + 2)/2
Let j(h) = 8*h**2 - 113*h + 105. Let a(o) = -3*o**2 + 38*o - 35. Let n(l) = 7*a(l) + 2*j(l