 - 28 + 77 - 27 = 0. Let t be (8/(-18))/(2/(-3)). Factor -t*y**p + 4/3 - 2/3*y.
-2*(y - 1)*(y + 2)/3
Let z(i) = -i - 5. Let t be z(-5). Let q be (-664)/(-6496)*14 + (-2)/(-29). Factor t - 33/4*r**2 + q*r.
-3*r*(11*r - 2)/4
Let f(n) be the third derivative of n**5/40 + 81*n**4/8 + 6561*n**3/4 + 172*n**2. Factor f(h).
3*(h + 81)**2/2
Let w(h) = -h**2 - 6*h + 11. Let v be w(-8). Let n be 12/20*v/(-2). Factor -3 - n*c**2 + 9/2*c.
-3*(c - 2)*(c - 1)/2
Determine h so that -1/3*h**3 + 0 - 2/3*h**4 + 0*h + 1/3*h**5 + 2/3*h**2 = 0.
-1, 0, 1, 2
Let i(r) = -7*r**3 + 66*r**2 - 367*r - 4. Let n(a) = -8*a**3 + 66*a**2 - 368*a - 5. Let w(l) = -5*i(l) + 4*n(l). Suppose w(z) = 0. What is z?
0, 11
Suppose -3*g = 4*v - 6, -50*g - v = -54*g + 8. Solve 1/2*k**3 + 3/4*k**g + 1/8 + 1/8*k**4 + 1/2*k = 0 for k.
-1
Let b(n) = -n**3 - 14*n**2 + 2*n + 30. Let d be b(-14). Solve 0*h + 0*h**d + 2/3*h**3 + 0 = 0.
0
Suppose -5*a + u + 13 = -2*u, a + u = 1. Let x = 60 + -178/3. Factor -8/3*n - 8/3 - x*n**a.
-2*(n + 2)**2/3
Let l(b) be the second derivative of 1225*b**6/6 - 1085*b**5/2 + 1135*b**4/4 + 620*b**3/3 + 40*b**2 + 38*b - 1. Factor l(s).
5*(s - 1)**2*(35*s + 4)**2
Suppose 2*u + 7*t - 11*t - 20 = 0, 0 = -5*u + 3*t + 22. Factor 4/7 - 8/7*l + 4/7*l**u.
4*(l - 1)**2/7
Factor -4*g**2 + 47 + g**2 + 96 - 16 - 114*g - 10.
-3*(g - 1)*(g + 39)
Determine i, given that 3/7 + 0*i + 3/7*i**4 + 0*i**3 - 6/7*i**2 = 0.
-1, 1
Let x(q) be the third derivative of q**6/24 - q**5/4 + 5*q**4/12 + 48*q**2. Let x(s) = 0. What is s?
0, 1, 2
Let i(f) = -2*f**5 - 6*f**4 + 2*f**3 - 6*f**2. Let u(g) = -2*g**5 - 7*g**4 + 2*g**3 - 7*g**2. Let y(s) = -7*i(s) + 6*u(s). Solve y(z) = 0 for z.
-1, 0, 1
Let m(a) be the first derivative of -a**9/1008 + a**8/560 - a**3 - 17. Let p(k) be the third derivative of m(k). Suppose p(o) = 0. Calculate o.
0, 1
Determine r so that -r**4 + 6*r**3 - 43*r**3 + 10*r**2 + 10*r**3 - 23*r**2 + 13*r**3 = 0.
-13, -1, 0
Let n(c) be the second derivative of -c**5/40 + c**4/12 + c**3/4 - 22*c + 3. Determine p so that n(p) = 0.
-1, 0, 3
Let r be 4/(-6)*(-9498)/22. Let t = 288 - r. Factor 4/11*g**3 - 2/11*g + 0*g**4 - t*g**5 + 0 + 0*g**2.
-2*g*(g - 1)**2*(g + 1)**2/11
Let v(h) = -170*h + 174. Let k be v(1). Let 13/2*m**2 + 5/2*m**3 + 1 - 3/2*m**k - m**5 + 9/2*m = 0. What is m?
-1, -1/2, 2
Find v such that -48/7 + 50/7*v - 2/7*v**2 = 0.
1, 24
Let s(l) = 3*l + 4. Let g be s(-2). Let z be 3*(g + (-34)/(-15)). Factor 38/5*r + 78/5*r**2 + z.
2*(3*r + 1)*(13*r + 2)/5
Factor 2/19*g**4 + 2040/19*g**2 + 0 + 124/19*g**3 + 3600/19*g.
2*g*(g + 2)*(g + 30)**2/19
Let j(a) be the third derivative of -a**8/840 + a**7/84 - 9*a**6/200 + 13*a**5/150 - 11*a**4/120 + a**3/20 + 71*a**2. Let j(b) = 0. What is b?
1/4, 1, 3
Let a(w) = -45*w**4 + 166*w**3 - 135*w**2 + 30*w + 16. Let h(b) = -15*b**4 + 56*b**3 - 45*b**2 + 10*b + 6. Let x(k) = -3*a(k) + 8*h(k). Factor x(s).
5*s*(s - 2)*(s - 1)*(3*s - 1)
Let f = -57 + 59. What is b in 80*b + 40*b**2 + f*b**3 - 4*b**3 + 7*b**3 = 0?
-4, 0
Let a(p) be the first derivative of -p**3/9 + 4*p**2/3 - 7*p/3 + 148. Factor a(o).
-(o - 7)*(o - 1)/3
Let y = 161/106 + -1/53. Let t be 30/(-525) - 86/(-280). Factor -p**3 + y*p**2 - p + t + 1/4*p**4.
(p - 1)**4/4
Let b(i) be the second derivative of 7/2*i**2 + 0*i**3 + 0*i**4 - i + 0 + 1/30*i**5. Let q(f) be the first derivative of b(f). Factor q(m).
2*m**2
Let y(r) be the third derivative of r**5/90 - 16*r**3/9 + 147*r**2 + 1. Factor y(m).
2*(m - 4)*(m + 4)/3
Suppose -6*x + 4 = -4*x. Suppose 3*g**x + 3*g**2 - 4*g**2 + 2*g - 10*g = 0. Calculate g.
0, 4
Let q(d) be the third derivative of -d**8/6720 - d**7/840 - d**6/240 - d**5/120 - 25*d**4/24 - 8*d**2. Let i(k) be the second derivative of q(k). Factor i(t).
-(t + 1)**3
Let g(h) be the third derivative of -h**8/1680 - h**7/350 + 11*h**6/300 - 19*h**5/150 + 9*h**4/40 - 7*h**3/30 - 3*h**2 - 4*h. Factor g(s).
-(s - 1)**4*(s + 7)/5
Let a(m) be the second derivative of -m**4 + 0*m**3 + 0*m**2 + 6/5*m**5 - 14*m - 3/10*m**6 + 0. Factor a(z).
-3*z**2*(z - 2)*(3*z - 2)
Let z(k) be the third derivative of k**4/24 - k**3/6 - 8*k**2. Let l(p) = -5*p**2 + 35*p - 30. Let d(t) = -l(t) + 25*z(t). Factor d(a).
5*(a - 1)**2
Let k(v) be the third derivative of v**7/1260 - v**6/60 + v**5/10 - 2*v**4/9 + 59*v**2 - 1. Determine d so that k(d) = 0.
0, 2, 8
Let d(s) be the third derivative of s**8/1848 - 19*s**7/1155 + 16*s**6/165 - 2*s**5/11 - 219*s**2. Find f such that d(f) = 0.
0, 2, 15
Let v(h) be the first derivative of 0*h + 8/9*h**3 + 40 + 1/15*h**5 + 7/12*h**4 - 8/3*h**2. Factor v(w).
w*(w - 1)*(w + 4)**2/3
Let k(q) = -q**2 + 8*q + 5. Let r be k(8). Let d(v) be the third derivative of 0*v**4 - 4*v**2 + 1/70*v**7 + 0 + 0*v**3 - 1/10*v**6 + 0*v + 0*v**r. Factor d(y).
3*y**3*(y - 4)
Let j = -23 - -26. Suppose 0*q = -3*l + 3*q, q = j*l - 8. Determine g, given that -3*g**2 + 56*g**3 - 9*g**2 - 16*g**l - 4*g**3 - 64*g + 0*g**2 + 16 = 0.
-1, 1/4, 2
Let t(c) = -156 - 4*c + 143 + 8*c. Let w be t(4). Suppose 2/5*k**w + 2/5*k**4 - 2/5*k + 0 - 2/5*k**2 = 0. What is k?
-1, 0, 1
Let p(t) be the first derivative of 0*t - 3/4*t**2 - 3/16*t**4 + 3/4*t**3 - 12. Factor p(y).
-3*y*(y - 2)*(y - 1)/4
Factor -4*a**2 - 3136 - 380*a + 496*a - 340*a.
-4*(a + 28)**2
Factor -37*r**2 - 26*r**2 + 0*r**2 - 3*r**3 - 21*r - 30*r - 9*r.
-3*r*(r + 1)*(r + 20)
Let v(a) be the first derivative of -a**6/3 + 6*a**5/5 + a**4 - 4*a**3 - a**2 + 6*a + 82. Suppose v(w) = 0. Calculate w.
-1, 1, 3
Let m be (5/(-14)*(-12)/(-15))/(15/(-21)). Factor 0 - 2/5*z**2 + 2/5*z**3 - m*z + 2/5*z**4.
2*z*(z - 1)*(z + 1)**2/5
Let r(g) = g**2 + 0*g**2 - 4*g - 2026 + 2024. Suppose 69 = 3*v + 6. Let b(s) = 9*s**2 - 39*s - 21. Let n(d) = v*r(d) - 2*b(d). Factor n(o).
3*o*(o - 2)
Let p(u) be the second derivative of u**7/336 - u**6/48 - u**5/48 + 5*u**4/16 + 15*u**3/2 - 50*u. Let j(h) be the second derivative of p(h). Factor j(d).
5*(d - 3)*(d - 1)*(d + 1)/2
Let f(y) be the first derivative of -14/3*y**3 + 5*y**2 - 18 + 4*y. Determine o so that f(o) = 0.
-2/7, 1
Suppose 0 = -3*d - 12, 4*x + 6 - 10 = -2*d. Factor 0*b**x - 1/2*b**2 + 0*b + 1/4 + 1/4*b**4.
(b - 1)**2*(b + 1)**2/4
Let h(k) be the first derivative of 7*k**4/10 - 2*k**3/3 - 2*k**2/5 + 230. Factor h(l).
2*l*(l - 1)*(7*l + 2)/5
Let b(p) be the first derivative of -8/5*p**5 - 23 + 7/4*p**4 + 0*p**2 + 1/2*p**6 - 2/3*p**3 + 0*p. Factor b(m).
m**2*(m - 1)**2*(3*m - 2)
Let q(a) be the third derivative of -1/1260*a**6 + 0*a + 1/210*a**5 - 5*a**2 + 0*a**3 + 0 - 1/126*a**4. Find p such that q(p) = 0.
0, 1, 2
Solve 3/5*d**4 - 6*d + 6*d**3 - 48/5 + 9*d**2 = 0 for d.
-8, -2, -1, 1
Let z be 32/(-16)*3 + (-3)/2*-5. Let -3*t**3 + 3/2*t**2 + 15/4*t - 3*t**4 - 3/4*t**5 + z = 0. Calculate t.
-2, -1, 1
Let x(j) = -2*j**4 - 13*j**3 + 3. Let q(u) = -13*u**3 + 14*u**3 - u**4 + 0*u**4 - 1. Let n(v) = -3*q(v) - x(v). What is k in n(k) = 0?
-2, 0
Let b = -36385/13 - -2799. What is h in -4/13*h**2 + 4/13*h**4 + 0 + 0*h**3 - b*h + 2/13*h**5 = 0?
-1, 0, 1
Let p(g) be the third derivative of 0*g - 5/12*g**4 + 0 + 0*g**3 - 1/12*g**5 + 12*g**2. What is r in p(r) = 0?
-2, 0
Suppose 8*o + o = 27. Let l(k) be the second derivative of 0*k**o - 2*k + 0 + 1/54*k**4 + 0*k**2. Factor l(d).
2*d**2/9
Let -8/5*r - 8/5 - 2/5*r**4 + 4/5*r**3 + 6/5*r**2 = 0. What is r?
-1, 2
Suppose -3*j = -12 - 15. Factor -j - 6*k + 32*k**2 + 3 - 30*k**2 + 2*k.
2*(k - 3)*(k + 1)
Let z(m) be the second derivative of -m**6/540 + m**5/15 - m**3 + 3*m**2/2 - 2*m - 14. Let b(s) be the second derivative of z(s). Solve b(f) = 0.
0, 12
Find w such that 16 - 440/3*w - 54*w**4 - 30*w**3 + 1036/3*w**2 = 0.
-3, 2/9, 2
Let v(m) be the third derivative of m**5/120 + 5*m**4/48 - 57*m**2. Suppose v(y) = 0. What is y?
-5, 0
Factor 4*j**2 - 24*j**2 + 7*j**3 - 31*j + 13*j**3 + 5*j**4 - 49*j.
5*j*(j - 2)*(j + 2)*(j + 4)
Let t be 33/(-2)*(4 + 10/(-1)). Factor 99 - 5*m**2 + 20*m - t.
-5*m*(m - 4)
Solve 17*p - 58 - p - 72*p + 2*p**2 = 0.
-1, 29
Let t(s) be the first derivative of 2*s**3 - 6 + 3/4*s**4 - 3/2*s**2 - 6*s. Factor t(x).
3*(x - 1)*(x + 1)*(x + 2)
Find w such that 2448/5*w + 32/5 + 530604/5*w**3 + 62424/5*w**2 = 0.
-2/51
Let k be 2 - (6 + 4) - 3. Let j(l) = l + 16. Let f be j(k). Factor 7*p - 4 + p**2 - f*p + p.
(p - 1)*(p + 4)
Let c = -9 + 13. Suppose -4*q - c = 