k) = 0.
0, 2/9, 1
Let g(w) be the third derivative of -w**7/210 - 83*w**6/120 + 36*w**5/5 - 175*w**4/6 + 176*w**3/3 - 9*w**2 + 4*w - 15. Factor g(i).
-(i - 2)**2*(i - 1)*(i + 88)
Let v be (7 - 20) + 4648/357. Let y(j) be the second derivative of 0*j**2 - 1/51*j**3 + 16*j + 0 - v*j**4. Factor y(l).
-2*l*(2*l + 1)/17
Let t be (4/(-4))/(-1)*-5. Let p be 2*(245/(-50) - t). Determine u, given that 8/5 - p*u**2 + 2/5*u = 0.
-2, 4
Let l(g) be the first derivative of -g**6/80 + g**5/20 + 3*g**4/16 - 21*g**2 + 80. Let b(y) be the second derivative of l(y). Factor b(f).
-3*f*(f - 3)*(f + 1)/2
Suppose -150 = 2*r + r + 5*d, -4*d = 3*r + 153. Let z = r - -58. Factor 6/7*k + 0*k**2 - 2/7*k**z - 4/7.
-2*(k - 1)**2*(k + 2)/7
Let o(l) = l**3 - 26*l**2 - 2*l + 54. Let d be o(26). Suppose -3*s + 5 = k, 2*k = d*s - 0*k + 10. Solve -10*i + 2*i**3 + s - 1 + 2*i**2 - 3 + 10 = 0.
-3, 1
Let s = 27 + -14. Suppose -4*d + 2*p + 19 + s = 0, -2*d + 28 = 2*p. Suppose 10*l**2 - d*l**4 - l**5 - 4*l**5 + 67*l**3 - 62*l**3 = 0. What is l?
-2, -1, 0, 1
Let h(p) be the third derivative of p**6/80 + 6*p**5/5 + 765*p**4/16 + 2025*p**3/2 + 4*p**2 - 110. Factor h(z).
3*(z + 15)**2*(z + 18)/2
Let s be ((-4 - -4)/5)/(-2). Factor -4*q**3 - 10 + s*q**4 - 11*q**2 - 26*q - 13*q**2 - 2*q + 2*q**4.
2*(q - 5)*(q + 1)**3
Let m(x) be the first derivative of -53/8*x**2 - 27/4*x + 182 - 25/12*x**3 + 1/16*x**4. What is k in m(k) = 0?
-1, 27
Let b(y) = 25*y**2 - 2. Let i(t) = 68*t**2 + 1895*t + 536. Let h(s) = 3*b(s) - i(s). Factor h(p).
(p - 271)*(7*p + 2)
Let c = 2305249/5 + -461047. Factor 38/15 + 4/15*i**2 + c*i.
2*(i + 1)*(2*i + 19)/15
Factor 0 - 6726/13*m**3 - 230/13*m**4 + 0*m - 2/13*m**5 - 6498/13*m**2.
-2*m**2*(m + 1)*(m + 57)**2/13
Let w(s) be the third derivative of 0*s + 0*s**4 + 0 + 0*s**3 + 1/7*s**5 - 61*s**2 + 1/140*s**6. Suppose w(v) = 0. What is v?
-10, 0
Let r = 1265449/152321 + -1/11717. Let a = r - 449/65. Factor 1/5*w**2 + 6/5 - a*w.
(w - 6)*(w - 1)/5
Suppose 156 = 10*o + 6. Suppose o - 1 = 7*x. Factor -4*t**2 + 0*t**2 - 3*t**x + 2*t**2.
-5*t**2
Let k(d) be the third derivative of 5/3*d**3 + 0 - 1/1080*d**6 - 1/360*d**5 - 29*d**2 + 1/36*d**4 + 0*d. Let q(i) be the first derivative of k(i). Factor q(p).
-(p - 1)*(p + 2)/3
Let t(s) = -2*s**2 - 4*s - 1. Let b be t(-2). Let a = b - -7. Suppose 3 + m**2 + a - 27 - 21*m - 4*m**2 = 0. Calculate m.
-6, -1
Suppose -143 + 298 = 10*h + 135. Let w(t) be the second derivative of h*t - 50/3*t**2 - 1/36*t**4 - 10/9*t**3 + 0. Suppose w(b) = 0. What is b?
-10
Find i such that 34*i**2 + 8*i**4 - 128*i**3 - 120*i**4 - 2*i + 11*i**2 - 2*i**2 - 74*i**3 = 0.
-2, 0, 1/14, 1/8
Suppose 572*t - 301*t + 675 = 295*t + 75. Factor -7/3*i**2 - 1/3*i**3 + 5/3*i + t.
-(i - 3)*(i + 5)**2/3
Let q(p) be the third derivative of -p**6/240 - 19*p**5/120 + 7*p**4/8 + 1500*p**2. Factor q(x).
-x*(x - 2)*(x + 21)/2
Let c(t) be the third derivative of -t**5/270 + 49*t**4/108 + 34*t**3/9 + 312*t**2. Factor c(i).
-2*(i - 51)*(i + 2)/9
Let z(c) be the third derivative of 0*c**3 + 0 + 3/16*c**4 + 0*c - 1/80*c**6 + 57*c**2 + 1/20*c**5. Factor z(h).
-3*h*(h - 3)*(h + 1)/2
Let i(x) be the third derivative of x**5/20 - 43*x**4/4 - 88*x**3 - x**2 + 47. Factor i(c).
3*(c - 88)*(c + 2)
Let o(u) = 2*u**3 - 155*u**2 - 144*u + 5150. Let s be o(78). Determine f so that -5/2*f**s + 65*f + 135/2 = 0.
-1, 27
Let o be (-10)/(-5)*(-1)/(-1). Solve -p**3 - p + 0*p**3 - 21 + 4*p + 21*p**2 - o*p**3 = 0.
-1, 1, 7
Let z(g) be the third derivative of g**7/1575 - g**6/900 - 7*g**5/450 + g**4/180 + 2*g**3/15 - 1099*g**2. Let z(y) = 0. Calculate y.
-2, -1, 1, 3
Let w(n) = 87*n**3 - 2943*n**2 + 11988*n - 11970. Let v(d) = 3*d**3 + 2*d**2 - 2*d + 3. Let z(b) = 30*v(b) - w(b). Determine q, given that z(q) = 0.
-1005, 2
Let l(b) be the third derivative of -b**5/100 - 19*b**4/20 - 297*b**3/10 + b**2 + 173*b - 8. Find c such that l(c) = 0.
-27, -11
Factor -110 + t**2 - 25*t + 12 - 30 - 47 - 131.
(t - 34)*(t + 9)
Let o = -615 - -612. Let y be (2/o)/(-4 + 102/27). Let 105/2*f - 75/2 + 3/2*f**y - 33/2*f**2 = 0. What is f?
1, 5
Let w be (3 - (-424)/(-16))/(1/10). Let f = 2117/9 + w. Factor f*i**4 + 8/9*i**3 + 8/9*i + 4/3*i**2 + 2/9.
2*(i + 1)**4/9
Let n(q) be the third derivative of q**6/540 + q**5/90 - 5*q**4/12 - 175*q**3/27 + 3*q**2 + 2. Factor n(g).
2*(g - 7)*(g + 5)**2/9
Suppose 70 = 14*n - 0*n. Find b such that 2*b**2 + 74*b**3 - 71*b**3 - 6*b**n - 5*b**2 + 3*b**4 + 3*b**5 = 0.
-1, 0, 1
Factor 229/5 - 228/5*p - 1/5*p**2.
-(p - 1)*(p + 229)/5
Let i(l) be the first derivative of 1/3*l**3 + 1/2*l**4 + 0*l + 1/24*l**6 + 0*l**2 + 41 + 1/4*l**5. Factor i(z).
z**2*(z + 1)*(z + 2)**2/4
Let z = 2/21791 - -2091926/108955. Factor z*u - 88/5 + 2/5*u**3 - 6*u**2.
2*(u - 11)*(u - 2)**2/5
Let j(p) be the second derivative of -6*p + 1/12*p**4 + 0*p**2 + 6 - 7/2*p**3. Factor j(l).
l*(l - 21)
Factor 0*c - 2/3*c**4 + 2/3*c**5 + 0 - 2*c**2 - 10/3*c**3.
2*c**2*(c - 3)*(c + 1)**2/3
Suppose 4*i - 49 = -5*q - 17, 0 = -i + 3. Let l(z) be the second derivative of 0 + 0*z**2 - 16*z + 0*z**3 + 1/4*z**q. Solve l(f) = 0 for f.
0
Solve -5484/5*v + 0 + 4/5*v**2 = 0 for v.
0, 1371
Let n(v) = -v**3 + v**2 + 2*v + 10. Let k be n(0). Suppose -4 = 2*c - 12. Factor 130*r**2 - 271*r**2 + k*r**3 - 8*r**c + 2*r**5 + 137*r**2.
2*r**2*(r - 2)*(r - 1)**2
Let u = 417764/2715635 - -2/208895. Determine j so that 0 - u*j**4 - 16/13*j**2 + 8/13*j + 10/13*j**3 = 0.
0, 1, 2
Let m = 68 - 37. Let d = m - 7. Solve g**3 + g**3 - 2*g**2 - d*g + 20*g = 0.
-1, 0, 2
Let k = 68056 - 68054. Factor 2/19*y**4 + 0*y + 8/19*y**k + 10/19*y**3 + 0.
2*y**2*(y + 1)*(y + 4)/19
Let m(v) = 2*v**2 - 672*v + 610. Let l(x) = 10*x**2 - 3359*x + 3039. Let h(n) = 6*l(n) - 31*m(n). Suppose h(u) = 0. What is u?
1, 338
Find g such that -525 - 48*g - 3/4*g**2 = 0.
-50, -14
Let b be (2/128)/(1875/45000). Let -3/4*l + 3 - b*l**2 = 0. Calculate l.
-4, 2
Let o(w) be the first derivative of 0*w**2 - 2/3*w**3 + 0*w + 138 + 1/9*w**6 - 5/6*w**4 - 2/15*w**5. Let o(i) = 0. Calculate i.
-1, 0, 3
Let r(q) be the first derivative of 20 + q + 0*q**2 - 1/3*q**3. Factor r(a).
-(a - 1)*(a + 1)
Suppose 405 = 2*l + 413. Let q be 414/(-345)*l/6. Suppose 0 + 0*b**3 + q*b**4 - 2/5*b**5 - 4/5*b**2 + 2/5*b = 0. Calculate b.
-1, 0, 1
Let u(m) be the third derivative of 0 - 2*m**2 + 0*m**3 + 1/600*m**5 + 11/240*m**4 + 3*m. Factor u(a).
a*(a + 11)/10
Suppose -8*o**3 + 3*o**3 + 4*o**3 + 28*o**5 - 9*o**2 + 8*o**2 - 27*o**5 + o**4 = 0. What is o?
-1, 0, 1
Let n = -60880 - -60880. What is g in -11/6*g**4 + 0*g + n + 3/2*g**3 + 1/3*g**2 = 0?
-2/11, 0, 1
Suppose -78*a + 34*a = -38*a - 12. Let q = -14 + 14. Factor 2/7*t**3 + q - 2/7*t**a + 0*t.
2*t**2*(t - 1)/7
Let z = 116041/15 - 38667/5. Factor 32/3 - z*p + 1/6*p**2.
(p - 8)**2/6
Let r(s) be the first derivative of 36*s - 2/5*s**3 - 205 - 21/5*s**2. Factor r(o).
-6*(o - 3)*(o + 10)/5
Let f(j) be the second derivative of 0 + 1/20*j**5 - 7/3*j**4 + 0*j**2 - 13*j + 98/3*j**3. Factor f(g).
g*(g - 14)**2
Let g(j) = 7*j**3 + 1005*j**2 - 120039*j + 119027. Let q(i) = -3*i**3 - 501*i**2 + 60020*i - 59516. Let w(k) = 4*g(k) + 9*q(k). Factor w(o).
(o - 244)**2*(o - 1)
Let t be ((-273)/(-14))/3 - (-2)/4. Suppose 4*a - t*d = -2*d + 66, d + 72 = 5*a. Factor 0*b**2 + b**2 - a*b**3 + 7*b**3 + 6*b**3.
-b**2*(b - 1)
Let b be (((0/2)/(-10))/1)/(-6). Let r(z) be the first derivative of 13 + b*z - 4/35*z**5 + 1/2*z**4 + 2/7*z**2 - 2/3*z**3. Solve r(q) = 0 for q.
0, 1/2, 1, 2
Let x be (2/(-5))/(((-2)/(-8))/(4/(-16))). Let -x*z**5 + 0 + 0*z**2 + 0*z**3 + 0*z - 8/5*z**4 = 0. Calculate z.
-4, 0
Suppose 10*o - 120 = -30. Suppose -2*k = 5*h - 65, 5*k - o*k + 4*h + 144 = 0. What is n in -k*n**3 + 1 + 6*n**2 - 11*n**2 + 15*n**4 - 6 + 35*n - 5 = 0?
-1, 1/3, 1, 2
Factor -3/4*v**2 - 93/4 - 24*v.
-3*(v + 1)*(v + 31)/4
Let p = -257951 + 257954. Factor 12/5*k**2 - 3/5*k**p - 3/5*k**4 + 0 + 12/5*k.
-3*k*(k - 2)*(k + 1)*(k + 2)/5
Let d(k) be the first derivative of -49/6*k - 87 - 2/9*k**3 - 7/3*k**2. Solve d(q) = 0 for q.
-7/2
Let z(d) be the third derivative of d**8/11760 - d**7/1176 - d**6/315 + d**5/70 - 175*d**3/6 + 123*d**2. Let o(n) be the first derivative of z(n). Factor o(r).
r*(r - 6)*(r - 1)*(r + 2)/7
Let t(q) be the third derivative of -q**8/504 + 23*q**7/1260 - q**6/120 - 43*q**5/360 