s**4.
-2*(s - 3)**2*(s + 2)**3/13
Let c(i) be the second derivative of -1/54*i**4 + 5/9*i**2 - 35 + 4/27*i**3 - i. Factor c(k).
-2*(k - 5)*(k + 1)/9
Let s be (1/(-28) + (-36)/(-126))*2620. Let k = s + -2619/4. Let -k*w - w**4 + 0 + 1/4*w**3 + w**2 = 0. Calculate w.
-1, 0, 1/4, 1
Factor 2/5*j**3 + 28 - 4*j**2 - 122/5*j.
2*(j - 14)*(j - 1)*(j + 5)/5
Factor -297650/3*t**3 - 305045/3 - 907730/3*t**2 - 5/3*t**5 + 2455/3*t**4 - 912665/3*t.
-5*(t - 247)**2*(t + 1)**3/3
Let h(a) be the first derivative of -a**6/360 + 3*a**5/20 - 4*a**4/3 + 58*a**3/3 + a**2/2 + 144. Let y(o) be the third derivative of h(o). Factor y(q).
-(q - 16)*(q - 2)
Suppose -5103 = -18*x + 8397. Solve -24*d + 38*d + x*d**3 + d**5 - 8*d**2 + 4*d**4 - 12 - 756*d**3 - 8*d**2 + 15*d = 0.
-4, -3, 1
Let k = -28422 + 58853/2. Let s = 1005 - k. Factor 0 + 0*x**3 - s*x + 1/4*x**4 - 3/4*x**2.
x*(x - 2)*(x + 1)**2/4
Let i = -20049/40 + 2523/5. Let t(z) be the first derivative of 45/16*z**2 - i*z - 7/8*z**3 + 21 + 3/32*z**4. Factor t(a).
3*(a - 3)**2*(a - 1)/8
Let n(i) be the first derivative of 5*i**6/6 - 5*i**5 - 85*i**4/2 - 110*i**3/3 + 165*i**2/2 + 135*i + 472. What is f in n(f) = 0?
-3, -1, 1, 9
Suppose -4*h - 11 = -5*h + 5*j, -5*h + 32 = -2*j. Let i(u) be the first derivative of 1/5*u**2 - 3/5*u + h + 1/15*u**3. Factor i(c).
(c - 1)*(c + 3)/5
Factor 1/2*b**3 - 70 - 171/2*b - 15*b**2.
(b - 35)*(b + 1)*(b + 4)/2
Let o(z) be the first derivative of 3*z**4/4 - 2475*z**3 + 2295252*z**2 + 4597932*z - 7304. Factor o(x).
3*(x - 1238)**2*(x + 1)
Determine l so that -4/3*l**5 + 0*l + 20/3*l**3 + 0*l**2 + 16/3*l**4 + 0 = 0.
-1, 0, 5
Let q be 6 + -3 + -1 - (4 + -5). Suppose 11*g**2 + 2*g - 3*g**3 - 2 + g**q - 7*g**2 - 2 = 0. Calculate g.
-1, 1, 2
Let k(m) = 12*m**4 + 70*m**3 - 457*m**2 + 663*m - 295. Let a(u) = 5*u**4 + 36*u**3 - 228*u**2 + 331*u - 147. Let c(l) = -14*a(l) + 6*k(l). Factor c(o).
2*(o - 36)*(o - 4)*(o - 1)**2
Let z be ((-23484)/(-45))/(-6 - (-132)/20). Let s = 872 - z. Factor 16/9 - s*o + 2/9*o**2 + 2/9*o**3.
2*(o - 2)*(o - 1)*(o + 4)/9
Let q(t) be the third derivative of 25*t**8/672 + t**7/12 - 43*t**6/80 + 13*t**5/120 + 13*t**4/6 - 4*t**3 - 992*t**2. Determine b, given that q(b) = 0.
-3, -1, 4/5, 1
Suppose 125*r - 177*r = 236*r. Let l(b) be the second derivative of 29*b + 1/7*b**3 - 1/42*b**4 - 2/7*b**2 + r. Factor l(t).
-2*(t - 2)*(t - 1)/7
Let i be 1 - (-25)/(-15) - 8/(-12). Suppose -4 + 0 = -2*b. Factor b*d**4 + 0 + i*d - 1/2*d**2 - 3/2*d**3.
d**2*(d - 1)*(4*d + 1)/2
Let x be 6 - (-5 + 9393)*-2. Determine g so that -8*g**3 - 18754*g**2 + x*g**2 + 48 + 36*g - 4*g**4 + 44*g = 0.
-2, -1, 3
Let 10/3*q**3 - 62*q + 42 - 46/3*q**2 = 0. What is q?
-3, 3/5, 7
Suppose 0 = 3*k + 2*f - 122, -3*k + 4*k - 3*f - 37 = 0. Suppose 6*v - 10*v + k = 0. Determine r, given that 6*r + 0 + 9*r**2 - 42*r**3 + 10 - v = 0.
-2/7, 0, 1/2
Suppose -n - 5*b + 16 = 0, -n + 4*b + 1 - 12 = 0. Let o be (18/12)/(n/2). Factor 3*v**3 - 5*v**3 - 5*v**o + 12*v**3 + 20*v**2 + 20*v.
5*v*(v + 2)**2
Let b(u) be the second derivative of -12/13*u**3 + 2*u - 1/6*u**4 + 18 - 1/130*u**5 + 0*u**2. Factor b(c).
-2*c*(c + 4)*(c + 9)/13
Let h(d) = -8*d**3 - 647*d**2 + 484*d - 9. Let m(f) = -2*f**3 - 162*f**2 + 126*f - 2. Let k(s) = -2*h(s) + 9*m(s). Factor k(c).
-2*c*(c - 1)*(c + 83)
Suppose x = g - 0*x, 4*g - 32 = -4*x. Suppose g*r - 67 - 173 = 0. Factor -288*z - 10*z**3 - 36 - 5*z**3 - r - 126*z**2.
-3*(z + 4)**2*(5*z + 2)
Let l(a) be the third derivative of a**5/90 + 13*a**4/9 + 64*a**3/3 - 37*a**2 - 7. Let l(y) = 0. Calculate y.
-48, -4
Let b = -44 + 40. Let z be ((-10)/b)/((-10)/(-8)). Let -x + 22*x**z - x - 4 - 16*x**2 = 0. What is x?
-2/3, 1
Let h(g) be the second derivative of 1/45*g**6 - 2/9*g**3 - 2/15*g**5 + 0 + 5/18*g**4 + 48*g + 0*g**2. Find r, given that h(r) = 0.
0, 1, 2
Let y(b) = 8*b - 1. Let v(x) = -x**3 - 7*x**2 + 60*x - 24. Let g(j) = -3*v(j) + 12*y(j). Factor g(a).
3*(a - 2)*(a - 1)*(a + 10)
Let f(u) = 5*u**3 + u - 2. Let o(y) = y**3 - 28*y**2 + 27*y - 4. Let s be o(27). Let r(q) = -14*q**3 - q**2 - 4*q + 5. Let i(h) = s*r(h) - 11*f(h). Factor i(z).
(z + 1)**2*(z + 2)
Factor 132*q**2 + 123*q**2 - q**3 - 5 + 5 - 145*q - 289*q**2.
-q*(q + 5)*(q + 29)
Let q be (-1 + 0)*(13 - 107). Let l = 96 - q. Factor 0*y**3 + 8*y**2 - 2*y**4 + 2*y - 4*y**3 + 6*y + l*y**3.
-2*y*(y - 2)*(y + 1)*(y + 2)
Let j(a) be the first derivative of 0*a + 2/27*a**3 + 64 + 4/9*a**2. Factor j(z).
2*z*(z + 4)/9
Let x(v) be the second derivative of -2*v**7/21 + 8*v**6/15 + 12*v**5/5 - 64*v**4/3 + 128*v**3/3 - 681*v - 4. Suppose x(j) = 0. Calculate j.
-4, 0, 2, 4
Factor 10*g**4 - 124*g + 15*g**3 + 124*g + 5*g**5 - 10*g**5.
-5*g**3*(g - 3)*(g + 1)
Let 20/3*x**2 - 6*x - 20/3*x**4 + 16/3*x**3 + 2/3*x**5 + 0 = 0. What is x?
-1, 0, 1, 9
Let f(c) be the third derivative of -c**6/40 + 59*c**5/20 - 775*c**4/8 - 2883*c**3/2 + 769*c**2. Suppose f(n) = 0. Calculate n.
-3, 31
Let j(h) = -h**3 - 15*h**2 - 25*h + 13. Let x be j(-13). Let g be (6/36*-15)/((21 + 4)/(-5)). Factor 1 + x*q**2 + 3/2*q - g*q**3.
-(q - 2)*(q + 1)**2/2
Let n(r) = 222*r**3 + 44*r**2 - 394*r - 428. Let v(f) = -55*f**3 - f**2 - 1. Let h(x) = n(x) + 4*v(x). Let h(d) = 0. What is d?
-27, -1, 8
Let p(n) be the second derivative of 0 + 1/24*n**4 - 1/4*n**2 + 0*n**3 + 28*n. Let p(a) = 0. What is a?
-1, 1
Suppose -133*u + 845 = 252*u + 75. Solve 15/7*h**3 - 3/7*h**4 - 6/7*h**u - 24/7*h + 0 = 0 for h.
-1, 0, 2, 4
Let b be (-72)/162 + 383/(-9). Let t be -74 + 82 - b/(-6). Factor -t*u + 0 + 2/3*u**2 + 1/6*u**3.
u*(u - 1)*(u + 5)/6
Let w be ((-1)/2)/(-15 + 18/(324/207)). Let -3/7 - w*r + 4/7*r**2 = 0. What is r?
-3/4, 1
Let w(a) be the third derivative of -3*a**3 - 99*a**2 + 0*a + 0 + 1/60*a**5 - 1/8*a**4. What is n in w(n) = 0?
-3, 6
Let f(y) = -y**3 + 40*y**2 - 114*y + 11. Let c be f(3). What is h in 5/3 - 1/3*h**c + 4/3*h = 0?
-1, 5
Let c(q) = 24*q**2 + 67*q - 7. Let p be c(5). Suppose -939*k = -p*k. Suppose -1/5*n**3 - 1/5*n + k + 2/5*n**2 = 0. Calculate n.
0, 1
Let t be 22*(-64)/(-176)*(1/(-2) - -1). Let b(r) be the third derivative of 1/570*r**5 + 0 + 0*r**3 - 1/228*r**t + 3*r**2 + 0*r. Factor b(o).
2*o*(o - 1)/19
Let l be 106469/19358 + ((-10)/6 - -1)/(2/3). Factor 0 + 0*f**3 - 1/2*f**4 + l*f**2 + 0*f.
-f**2*(f - 3)*(f + 3)/2
Let v(r) be the second derivative of -2*r**6/3 + 53*r**5/5 - 36*r**4 + 56*r**3/3 + 64*r**2 - 458*r - 4. Find g, given that v(g) = 0.
-2/5, 1, 2, 8
Solve 565 - 1025*o**2 + 567 - 437*o**3 - 93*o**3 - 5*o**4 + 1560*o - 1132 = 0 for o.
-104, -3, 0, 1
Let i(a) be the third derivative of a**5/84 - 2439*a**4/56 + 209*a**3/3 - 3*a**2 - 2*a - 1. Determine d so that i(d) = 0.
2/5, 1463
Let r(n) be the second derivative of n**5/140 - 67*n**4/84 + 128*n**3/21 - 18*n**2 - 10*n - 30. Factor r(a).
(a - 63)*(a - 2)**2/7
Find r, given that -704/5*r - 488/15*r**2 + 128/15*r**3 - 2/5*r**4 - 384/5 = 0.
-2, -2/3, 12
Suppose 4*t - 10 = h, h - 5*t + 15 = 2. Determine x so that 88/5*x**3 + 416/5*x + 0 - 80*x**h + 4/5*x**4 = 0.
-26, 0, 2
Suppose 0 - 9*v**2 - 3/4*v**3 + 255/4*v = 0. What is v?
-17, 0, 5
Factor 98/9*n**5 + 0 + 364/9*n**4 + 136/3*n**3 + 16*n**2 + 0*n.
2*n**2*(n + 2)*(7*n + 6)**2/9
Determine h so that -5*h**3 - 20*h**2 + 75 - 167 + 82 - 28*h + 3*h = 0.
-2, -1
Let x(l) be the second derivative of -l**5/120 - l**4/36 + 4*l**3/3 + 14*l + 172. Factor x(h).
-h*(h - 6)*(h + 8)/6
Solve -22/3*j**3 + 8/3*j**2 + 0 + 10/3*j**4 + 4/3*j**5 + 0*j = 0.
-4, 0, 1/2, 1
Let o(m) be the third derivative of -m**7/420 + m**6/60 + m**5/120 - m**4/12 + 2*m**2 - 427. Let o(j) = 0. Calculate j.
-1, 0, 1, 4
Let l(v) be the third derivative of 0*v**3 + 2/35*v**7 + 4*v + 1/112*v**8 - 3*v**2 + 1/8*v**6 + 0*v**4 + 0 + 1/10*v**5. Factor l(w).
3*w**2*(w + 1)**2*(w + 2)
Let r(o) = -2*o**2 + 18*o + 2. Let a be r(9). Factor 36*s**3 + 2*s**a - 3*s**2 + 7*s**2 - 38*s**3.
-2*s**2*(s - 3)
Let m(a) be the third derivative of -7*a**6/40 - 4159*a**5/10 - 618057*a**4/2 - 352836*a**3 - 33*a**2 + 97*a. Let m(u) = 0. Calculate u.
-594, -2/7
Let x(z) = -z**3 + 39*z**2 - 70*z - 97. Let l be x(37). Suppose -37*m + l*m = 84. What is s in 0 + 0*s - 54/11*s**5 + 96/11*s**3 + 24/11*s**2 - m*s**4 = 0?
-2, -2/9, 0, 1
Let f = -412514 - -412514. Factor f - 1/7*h + 4/7*h**2.
h*(4*h - 1)/7
What is h in -191*h**2 - 49*h**2 - 56*h**4 + 