= -4*s - 21. Let y(a) = a**2 - 6*a + 2 + 3*a - 6*a**2. Let n(v) = 4*v**2 + 2*v - 2. Let x(u) = s*y(u) - 6*n(u). Factor x(k).
(k + 1)*(k + 2)
Let c = -10642/11 - -968. Determine o so that 0 - 2/11*o**3 - 6/11*o**4 + c*o**2 - 2/11*o**5 + 4/11*o = 0.
-2, -1, 0, 1
Let t = 1186 - 94879/80. Let g(o) be the third derivative of 0*o + 0 + 0*o**3 - 9*o**2 - 1/840*o**7 - t*o**5 - 1/160*o**6 - 1/96*o**4. Factor g(z).
-z*(z + 1)**3/4
Let k(d) be the first derivative of -d**4 + 32*d**3/3 + 18*d**2 + 198. Determine w, given that k(w) = 0.
-1, 0, 9
Let g = 74 + -9. Determine t so that -4*t**2 - 5*t**4 + 4*t**2 + 5 - 55*t + g*t - 10*t**3 = 0.
-1, 1
Solve -2/5*j**2 - 332/5*j - 13778/5 = 0 for j.
-83
Factor 2/7*q**4 - 6*q + 0 - 82/7*q**2 - 38/7*q**3.
2*q*(q - 21)*(q + 1)**2/7
Let h(y) be the second derivative of -y**5/30 + 29*y**4/18 - 224*y**3/9 + 196*y**2/3 + 54*y + 2. What is u in h(u) = 0?
1, 14
Suppose 0 = -6*w + 4 + 14. Suppose -5*o = 42 - 52. Factor -1/3*x**w + 0*x**o + 1/3*x + 0.
-x*(x - 1)*(x + 1)/3
Find s, given that 22/5*s**2 + 18/5*s**3 + 4/5*s + 0 = 0.
-1, -2/9, 0
Let l be (-10)/(-20)*1/2. Let r(n) be the first derivative of -1/5*n**5 + l*n**4 + 1/3*n**3 - 5 - 1/2*n**2 + 0*n. Factor r(a).
-a*(a - 1)**2*(a + 1)
Let s be (1*(51/(-36))/17)/(-4). Let b(p) be the second derivative of 7*p - 1/12*p**3 + 0*p**2 + 0 + s*p**4. Find d, given that b(d) = 0.
0, 2
Let c(j) = 5*j**2 - 2*j - 4. Let y(h) = -15*h**2 + 5*h + 11. Suppose 0 = 9*n - 8*n + 11. Let w(t) = n*c(t) - 4*y(t). Factor w(d).
d*(5*d + 2)
Let d(j) be the third derivative of -j**8/1344 + j**6/120 - j**5/120 - j**4/32 + j**3/12 + 139*j**2 - 2. Factor d(r).
-(r - 1)**3*(r + 1)*(r + 2)/4
Let h(l) be the second derivative of -l**4/54 + 94*l**3/27 - 31*l**2/3 + 162*l. Factor h(c).
-2*(c - 93)*(c - 1)/9
Let a be (-731)/(-1122) - 6/(-33). Find y such that 5/6 - 5/6*y**3 + 5/6*y - a*y**2 = 0.
-1, 1
Suppose -2*u + g = -326, 5*u = 2*g + 387 + 425. Suppose 30*m**2 - 5/2*m**3 - 120*m + u = 0. Calculate m.
4
Factor -45/4*u**2 + 3/4*u**4 - 15/2 + 3/4*u**3 + 69/4*u.
3*(u - 2)*(u - 1)**2*(u + 5)/4
Let k be (-50)/3*(-168)/35. Suppose 0 = 79*d - k*d. Factor 2/3*l + 1/3*l**2 + d.
l*(l + 2)/3
Let v = 84/19 + -344/95. Solve 8/5 + 1/10*j**2 + v*j = 0.
-4
Let z be ((-237)/(-756) + 4/(-16))/(114/513). Find o such that 0 - 3/7*o**3 + z*o - 1/7*o**2 = 0.
-1, 0, 2/3
Let f be 111/(-296) + (-27483)/56. Let y = f - -492. Factor 2/7*a**2 - 8/7*a + y.
2*(a - 3)*(a - 1)/7
Let m(n) be the first derivative of 2*n**3/9 + 8*n**2/3 - 131. Determine d, given that m(d) = 0.
-8, 0
Let y(j) be the third derivative of 0 + 0*j**3 - 3*j**2 + 0*j + 1/210*j**5 - 1/42*j**4. Factor y(w).
2*w*(w - 2)/7
Factor -c**3 + 5/2*c**2 - 3/2 + 2*c.
-(c - 3)*(c + 1)*(2*c - 1)/2
Let x(u) be the first derivative of 128/5*u + 125000*u**4 + 625000*u**5 + 8 + 800*u**2 + 40000/3*u**3 + 3906250/3*u**6. Factor x(a).
4*(25*a + 2)**5/5
Let n(g) be the first derivative of -2/21*g**3 + 6 + 4/7*g**2 + 0*g. Find t, given that n(t) = 0.
0, 4
Let r be 3*(-6 + -1)/(-7). Let q(b) be the second derivative of -2/9*b**2 - 2/45*b**5 + 1/189*b**7 + 1/9*b**r + 0*b**6 + 5*b + 1/27*b**4 + 0. Factor q(f).
2*(f - 1)**3*(f + 1)*(f + 2)/9
Factor -1/2*l**2 + 9/2 - 4*l.
-(l - 1)*(l + 9)/2
Let b(x) be the first derivative of -x**4/4 - 25*x**3 - 37*x**2 + 749. Solve b(l) = 0 for l.
-74, -1, 0
Find q such that -58 - 3*q + 3*q**2 + 60 - 2*q**2 = 0.
1, 2
Let l(s) = s**2 + s - 1. Let x(v) = 4*v**2 - 5*v - 13. Let b(y) = -5*l(y) + x(y). Let k be b(-9). Let -z**2 + z**2 + z**2 + k + 2 + 4*z = 0. Calculate z.
-3, -1
Solve -1350/7*w - 1250/7 - 2/7*w**3 - 102/7*w**2 = 0.
-25, -1
Let f(p) be the second derivative of -p**5/140 - p**4/21 + p**3/6 + 5*p**2/7 - 13*p - 6. Factor f(q).
-(q - 2)*(q + 1)*(q + 5)/7
Let d(w) be the third derivative of w**5/30 + 5*w**4/12 - 248*w**2. Let d(m) = 0. What is m?
-5, 0
Let n(t) be the third derivative of t**6/160 + 21*t**5/40 - t**4/32 - 21*t**3/4 - 9*t**2 - 8*t. Find r, given that n(r) = 0.
-42, -1, 1
Suppose -1/2*i**4 + 0*i + 0 + 15*i**2 - 1/2*i**3 = 0. What is i?
-6, 0, 5
Let m(o) = -6*o**4 - 17*o**3 - 67*o**2 - 55*o - 25. Let w(c) = -3*c**4 - 9*c**3 - 33*c**2 - 27*c - 12. Let v(g) = 6*m(g) - 13*w(g). Solve v(t) = 0.
-2, -1
Let d(b) = 3*b**2 + 52*b - 198. Let g(v) = 3*v**2 + 53*v - 198. Let r(n) = -4*d(n) + 5*g(n). Factor r(y).
3*(y - 3)*(y + 22)
Let m(j) be the second derivative of -40*j - 3/2*j**3 - 3*j**2 + 3/20*j**5 + 0 + 0*j**4. Suppose m(g) = 0. What is g?
-1, 2
Factor 0 + 0*s**4 + 0*s**2 + 0*s + 4/5*s**3 - 4/5*s**5.
-4*s**3*(s - 1)*(s + 1)/5
Let i be (6/5)/((-4)/(-40)). Let t be ((-16)/i)/(44/(-6)). Factor t*q**2 + 8/11 + 8/11*q.
2*(q + 2)**2/11
Let h(f) be the third derivative of f**7/70 + 3*f**6/40 - 7*f**5/20 - 15*f**4/8 + 9*f**3 - 10*f**2 + 2*f. Factor h(v).
3*(v - 2)*(v - 1)*(v + 3)**2
Let z(k) = -7*k**2 - 4*k - 8. Let c(p) be the third derivative of -p**5/60 + p**4/24 - p**3/6 - 42*p**2. Let v(d) = -4*c(d) + z(d). Solve v(b) = 0.
-2, -2/3
Let o(w) be the first derivative of -w**4/12 - 13*w**3/9 - 2*w**2 - 69. Factor o(a).
-a*(a + 1)*(a + 12)/3
Let k(l) = -4*l**3 + 136*l**2 - 260*l + 128. Let i(d) = d**3 - 45*d**2 + 87*d - 43. Let v(r) = 11*i(r) + 4*k(r). Suppose v(u) = 0. What is u?
1, 39/5
Let b = 2/2469 - -82298/2469. Find m such that -b*m**2 - 160/3*m - 64/3 = 0.
-4/5
Let a(w) = -w**4 + 25*w**3 - 41*w**2 + 21*w - 2. Let f(r) = -r**4 + 26*r**3 - 40*r**2 + 21*r - 3. Let u(h) = -3*a(h) + 2*f(h). Find t such that u(t) = 0.
0, 1, 21
Determine n so that -4*n**2 - 22/15*n**3 - 2/15*n**4 + 64/3 + 64/15*n = 0.
-5, -4, 2
Factor 166*t**2 + 424 - 420 - 345*t**2 - 227*t**2 - 402*t.
-2*(t + 1)*(203*t - 2)
Let f(n) be the second derivative of 13*n + 0 + 4*n**2 - 2/3*n**3 + 1/5*n**5 - 2/3*n**4. Suppose f(z) = 0. Calculate z.
-1, 1, 2
Let n be 3/(-2)*(-4)/9. Let d be 1/11 + 1716/1089. Factor 2/3*z + 0 - n*z**3 + 5/3*z**4 - d*z**2.
z*(z - 1)*(z + 1)*(5*z - 2)/3
Let f = -712/21 - -730/21. Factor f*h + 22/7*h**3 - 20/7*h**2 - 8/7*h**4 + 0.
-2*h*(h - 1)**2*(4*h - 3)/7
Factor 249*z**2 + 204*z**2 + 200*z**3 + 124*z**2 + 28*z**4 + 36 - 129*z**2 + 312*z.
4*(z + 1)*(z + 3)**2*(7*z + 1)
Let o(i) be the third derivative of i**6/120 - i**5/6 + 17*i**4/24 - 4*i**3/3 - i**2 + 38. Solve o(b) = 0.
1, 8
Factor 1/3*u**4 + 0*u - 71/3*u**2 - 70/3*u**3 + 0.
u**2*(u - 71)*(u + 1)/3
Let u(h) = 6*h - 2. Let x be u(2). Factor -x*d**3 - 12*d - 8*d**3 + 8 + 22*d**3.
4*(d - 1)**2*(d + 2)
Let w(s) be the third derivative of -1/3*s**3 + 1/6*s**5 - 1/12*s**4 + 0 - 4/105*s**7 - 17*s**2 - 1/42*s**8 + 1/12*s**6 + 0*s. Let w(x) = 0. Calculate x.
-1, -1/2, 1/2, 1
Factor -9*x - 63*x**2 + 64*x**2 - 10 + 0*x.
(x - 10)*(x + 1)
Let d(s) be the second derivative of -s**4/36 - 2*s**3/9 - s**2/2 + s - 1. Factor d(f).
-(f + 1)*(f + 3)/3
Let t(v) be the first derivative of 4*v**3/3 + 130*v**2 - 370. Factor t(a).
4*a*(a + 65)
Suppose -4*y - 3*d = -6*y + 43, 4*y = -3*d + 95. Let n = y - 19. Factor 18*q**2 - 14*q**4 + 4*q + 48*q**3 - 48*q**2 - 20*q**4 + 12*q**n.
-2*q*(q - 1)**2*(11*q - 2)
Factor -14 - 2/5*x**2 + 72/5*x.
-2*(x - 35)*(x - 1)/5
Suppose 4*m - 4*r = 8 + 12, -2*m - 3*r = 5. Suppose 0*v - 6 = -3*v. Let v*w**3 - 4*w**m - w**2 + 2*w**3 + w**2 = 0. Calculate w.
0, 1
Suppose 5*b - 11 = 3*a, b - 3*b = -4*a + 4. Let 27*o**4 - 30*o**b - 3*o**2 - 9*o**2 - 12*o**3 = 0. What is o?
-2, 0
Suppose 12/7 - 2/7*u**4 + 10/7*u - 10/7*u**2 - 10/7*u**3 = 0. What is u?
-3, -2, -1, 1
Let m(l) be the second derivative of 0*l**3 + 0 + 3/4*l**5 + 0*l**4 + 5/6*l**6 + 0*l**2 - 56*l - 5/21*l**7. What is j in m(j) = 0?
-1/2, 0, 3
Let o = 199/462 - -1/22. Let q = -29/105 + o. Determine h, given that q*h**5 - 3/5*h**3 + 0 + 0*h + 2/5*h**2 + 0*h**4 = 0.
-2, 0, 1
Factor -82/11 - 8/11*q**2 - 30*q.
-2*(q + 41)*(4*q + 1)/11
Let q = 9127/7 - 1303. Solve 0 + 4/7*j**4 - 2/7*j - q*j**5 - 4/7*j**2 + 8/7*j**3 = 0.
-1, -1/3, 0, 1
Let m be (-5)/9*25/(1375/(-44)). Let u(f) be the second derivative of 0 - m*f**2 - 9*f + 1/54*f**4 + 0*f**3. Factor u(t).
2*(t - 2)*(t + 2)/9
Let r be (-8)/((-6)/16*(-8)/(-60)). Let i(k) be the first derivative of 2/3*k**6 - 8*k**5 + 40*k**4 - 320/3*k**3 - 5 - 128*k + r*k**2. Factor i(t).
4*(t - 2)**5
Let s be 1728/23936 + 1/22. Factor 0 - s*u**5 + 4/17*u**4 + 2/17*u + 0*u**3 - 4/17*u**2.
-2*u*(u - 1)**3*(u + 1)/17
