/360 - 7*a**5/30 - 19*a**2. Let x(o) be the third derivative of b(o). Let x(s) = 0. What is s?
-1, 1
Let l be (7/(-3))/((-21451)/(-1197) - 18). Factor l + 3/5*k**2 + 42/5*k.
3*(k + 7)**2/5
Determine w, given that -3*w + 33/2*w**3 + 0 - 63/2*w**2 = 0.
-1/11, 0, 2
Let l(i) = -4*i**2 + 8*i - 7. Let m(a) = -a**2 - a**2 - 8 + 9*a - 3*a**2. Let s(d) = 4*l(d) - 3*m(d). Factor s(v).
-(v - 4)*(v - 1)
Suppose 0 = -l + 16*l + 9*l - 48. What is x in 17/2*x**l + 9/4*x**3 - 2 + 7*x = 0?
-2, 2/9
Factor 84*r + 230*r**3 - 25*r**2 - 229*r**3 - 101*r + 2601.
(r - 17)**2*(r + 9)
Determine j, given that -76*j + 26*j + 53*j + 3*j**2 - 18 = 0.
-3, 2
Let b(j) be the second derivative of j**6/180 - 7*j**5/20 - 29*j**4/24 - 11*j**3/9 - 112*j. Solve b(d) = 0.
-1, 0, 44
Suppose 4*g + 3 = 4*d + 271, -5*d = -4*g + 331. Let j = d - -131/2. Factor 5/4*i - 5/4 + j*i**2.
5*(i + 1)*(2*i - 1)/4
Let o(w) be the second derivative of -5*w**4/12 + 25*w**3/2 + 135*w**2 - 89*w - 5. Suppose o(r) = 0. Calculate r.
-3, 18
Let j(x) = 7*x**5 - 2*x**4 - x**3 + 15*x**2 + 6*x. Let f(k) = 8*k**5 - 2*k**4 + 16*k**2 + 8*k. Let h(t) = -5*f(t) + 6*j(t). Factor h(r).
2*r*(r - 1)**3*(r + 2)
Let p(o) be the second derivative of -2 + 35/6*o**3 + 5/6*o**4 - 3/2*o**5 - 5/6*o**6 + 15/2*o**2 + o - 5/42*o**7. Suppose p(k) = 0. What is k?
-3, -1, 1
Factor -4*w**3 - 158 + 338 - 196*w - 276 - 104*w**2.
-4*(w + 1)**2*(w + 24)
Let g = -464 - -467. Let k(p) be the second derivative of 0 - 1/6*p**2 - g*p + 1/6*p**3 - 1/12*p**4 + 1/60*p**5. Factor k(b).
(b - 1)**3/3
Let h(j) be the second derivative of -3*j**5/40 - 5*j**4/24 + j**3/3 + j**2 + 2*j - 10. Suppose h(c) = 0. What is c?
-2, -2/3, 1
Let x(h) be the first derivative of 23/6*h**3 - 41/8*h**2 - 11/16*h**4 + 3/2*h + 7. Solve x(j) = 0.
2/11, 1, 3
Suppose 0 = -5*k - 2*n + 10, 4*k - 1100*n = -1097*n + 8. Factor 0*t - 2/7*t**k + 0.
-2*t**2/7
Factor 1/6*k**2 + 0 + 1/3*k.
k*(k + 2)/6
Let r(h) be the second derivative of 0*h**3 - 1/5*h**5 + 2/21*h**7 + 0*h**2 + 2/3*h**4 + 6*h + 0 - 4/15*h**6. Factor r(x).
4*x**2*(x - 2)*(x - 1)*(x + 1)
Let t(i) = 5*i**2 + 10*i - 21. Let c(v) = -5*v**2 - 10*v + 20. Let o(g) = 6*c(g) + 5*t(g). Factor o(b).
-5*(b - 1)*(b + 3)
Suppose 8 = -5*r + 3. Let f = 3 - r. Factor -u**2 + u**f - 2*u**2 - 11*u**3 + 9*u**3.
u**2*(u - 3)*(u + 1)
Let l = 109 + -105. What is k in -27*k**l + 84*k**3 + 6*k**4 + 33*k**2 - 12 + 24*k + 15*k**5 - 123*k**3 = 0?
-1, 2/5, 1, 2
Suppose 6*i - 19 = -1. Factor 15*r**2 - r**3 + 7*r**3 - r**i - 6*r - 14*r.
5*r*(r - 1)*(r + 4)
Let j = -73 - -73. Factor -17*o**2 + 11*o**2 + j*o**3 + 16*o**2 + 2*o**3.
2*o**2*(o + 5)
Let a(b) = b**3 + 8*b**2 + 8*b - 11. Let u(i) = -i**3 - 14*i**2 - 16*i + 21. Let s(o) = 5*a(o) + 3*u(o). Find w such that s(w) = 0.
-2, 1, 2
Let i(w) be the third derivative of -1/84*w**8 + 0 - 34*w**2 - 1/42*w**7 + 1/40*w**6 + 1/24*w**4 + 0*w**3 + 0*w + 1/12*w**5. Let i(k) = 0. Calculate k.
-1, -1/4, 0, 1
Suppose 2*m = 2*d - 5 - 5, 8 = 4*m. What is b in 18*b**4 - 25*b**3 + 8*b**5 + d*b**3 + 11*b**3 + 3*b**3 - 4*b - 18*b**2 = 0?
-2, -1, -1/4, 0, 1
Factor -48/5*y**2 + 32/5*y + 0 + 1/10*y**5 + 26/5*y**3 - 6/5*y**4.
y*(y - 4)**2*(y - 2)**2/10
Let w(t) be the first derivative of -4*t**2 - 4/5*t**5 - 27 + 2*t**4 + 4/3*t**3 + 0*t. Factor w(r).
-4*r*(r - 2)*(r - 1)*(r + 1)
Let y = 132/5 - 128/5. Find i such that 1/5*i**2 + y*i + 4/5 = 0.
-2
Let p(k) = -6*k**2 - 69*k + 18. Let j(q) = q**2. Let m(t) = 6*j(t) - p(t). Solve m(s) = 0 for s.
-6, 1/4
Let h be (-6)/2 + 126/28. Determine z, given that -h*z**3 + 9/4*z**2 + 1/4*z**4 + 0*z + 0 = 0.
0, 3
Suppose 0 = 10*k - 189 + 159. Determine v, given that 0 + 0*v + 5/3*v**5 + 5*v**4 + 5*v**k + 5/3*v**2 = 0.
-1, 0
Suppose -61 + 79 = -3*b. Let p be -1*1*b/3 - -1. Solve 2/5*m + 16/5*m**2 - 4/5 + 2*m**p = 0.
-1, 2/5
Let z(u) be the third derivative of -u**6/280 + 13*u**5/280 - u**4/14 - u**3 + 22*u**2. Let k(q) be the first derivative of z(q). Factor k(p).
-3*(p - 4)*(3*p - 1)/7
Let l(s) = 6*s**3 - 5*s**2 + 9*s**3 + s + 2 - 10*s**3. Let r(q) = -q**3 + q**2 - q. Let d(o) = -l(o) - 3*r(o). Let d(c) = 0. Calculate c.
-1, 1
Let f(j) = 1824*j + 9122. Let w be f(-5). Find g, given that -2*g**4 + 0 + 72/11*g**w - 48/11*g**3 - 2/11*g**5 + 0*g = 0.
-6, 0, 1
Let u(p) = -p**2 - 9*p - 3. Let l be u(-8). Suppose -2*q + 20 = l*w, 0 = -3*q + 2*w - 4*w + 30. Solve -2*r**4 - 4*r + q*r**3 + 2 - 6*r**3 + 0*r**3 = 0 for r.
-1, 1
Factor -1939*p - 3*p**4 + 13938*p + 4394 + 2613*p**2 + 0*p**4 + 197*p**3 + 8*p**4.
(p + 13)**3*(5*p + 2)
Let k(v) be the first derivative of -v**4/2 - 4*v**3/3 + 3*v**2 - 59. Factor k(g).
-2*g*(g - 1)*(g + 3)
Let k(x) = 7*x + 5*x - 13*x + 22 + 5*x. Let o be k(-5). Find n such that -2/7 + 4/7*n - 2/7*n**o = 0.
1
Suppose 6*w - 30 = w. Suppose w = 3*m, 6*m - 10 = -s + 2*m. Find q such that -17*q**3 - q**s - 2*q**2 + 6*q + 14*q**3 = 0.
-2, 0, 1
Solve 3/2*o**4 + 0 + 1/2*o**5 - 3/2*o**2 - o + 1/2*o**3 = 0.
-2, -1, 0, 1
Let r(l) be the first derivative of 1/10*l**6 - 3/10*l**4 + 23 + 0*l**5 + 0*l**3 + 0*l + 3/10*l**2. Factor r(x).
3*x*(x - 1)**2*(x + 1)**2/5
Let l(t) be the first derivative of -25*t - 1/3*t**3 + 5*t**2 + 2. Let l(a) = 0. What is a?
5
Let v = 37 + -37. Suppose -5*x + 133 - 3 = v. Let 34*a + 8 + 4*a**2 - x*a - 2*a**2 = 0. Calculate a.
-2
Let z(v) = -4*v**2 + v - 1. Let p(x) = 11*x**2 - 3*x + 3. Let c(q) = 3*p(q) + 8*z(q). Let u(r) = -5*r**2 - 5*r - 11. Let g(f) = -3*c(f) - u(f). Factor g(w).
2*(w + 2)**2
Suppose 2*w + 10*w = 156. Factor -17 - 7*a + w - 7*a + 8*a**2.
2*(a - 2)*(4*a + 1)
Let i be (5 - (8 - 4))*2. Let 0*v**2 + 3*v**i + 5*v - 12*v**3 + 2*v**4 - 3*v + 5*v**4 = 0. What is v?
-2/7, 0, 1
Let z = -561 - -1687/3. Suppose -14/3*v - 10/3*v**3 - 6*v**2 - z - 2/3*v**4 = 0. What is v?
-2, -1
Let h(j) = j**2 + 3*j + 2. Let s be 1 - 3 - (1 - -1). Let t be h(s). Factor -v**3 + t*v**2 - 2*v**3 + 3*v + 6*v.
-3*v*(v - 3)*(v + 1)
Find c such that 2*c**4 + 3362 - 793*c + 2545*c + 3692*c**2 + 1070*c + 1047*c + 3019*c + 168*c**3 = 0.
-41, -1
Let i(c) be the second derivative of -c**5/30 + 13*c**4/72 - 11*c**3/36 + c**2/6 - 20*c + 2. Factor i(a).
-(a - 2)*(a - 1)*(4*a - 1)/6
What is t in -4/9*t**4 + 2/9*t**5 + 0*t - 2/9*t**3 + 0 + 4/9*t**2 = 0?
-1, 0, 1, 2
Find f such that 12*f**5 - 17 - 27*f**2 + 52*f + 4*f**4 + 128*f**3 + 9 - 66*f**4 - 93*f**2 - 2*f**4 = 0.
1/3, 1, 2
Let t be -1 + (6388/330)/(-7 + 5). Let z = t + 182/15. Let -32/11 + 2/11*u**3 + 14/11*u**2 + z*u = 0. What is u?
-4, 1
Let b(s) be the third derivative of s**9/40320 + s**8/6720 + s**5/20 - 8*s**2. Let z(r) be the third derivative of b(r). Let z(l) = 0. What is l?
-2, 0
Let g(y) be the second derivative of 2*y**6/15 + 43*y**5/5 + 440*y**4/3 - 968*y**3/3 - 467*y. Factor g(s).
4*s*(s - 1)*(s + 22)**2
Let a(d) be the third derivative of d**6/40 + 7*d**5/10 - 49*d**4/8 + 17*d**3 + d**2 - 24. Solve a(u) = 0.
-17, 1, 2
Let b(g) = -5*g**2 + 1. Let c be b(1). Let m(q) = -6*q**2 - 14*q + 20. Let v(j) = j**2 + 3*j - 4. Let a(o) = c*m(o) - 22*v(o). Suppose a(t) = 0. What is t?
1, 4
Let m = 158 + 397. Suppose 6*k - m = k. Factor -5*q + 1 - k*q**2 + 112*q**2 + 3*q.
(q - 1)**2
Let w(s) be the third derivative of -2*s**5/15 + s**4/6 - s**3/12 - 58*s**2. Solve w(j) = 0 for j.
1/4
Factor -1/4*f**3 - 2 + 5/2*f - 1/4*f**2.
-(f - 2)*(f - 1)*(f + 4)/4
Let f be ((-85)/10 + 7)*(-8)/6. Factor -276*l**2 - 2*l + 141*l**2 + 136*l**f.
l*(l - 2)
Let c(a) be the second derivative of -a**7/2 + 12*a**6/25 + 303*a**5/100 - 71*a**4/10 + 6*a**3 - 12*a**2/5 + 2*a - 19. Solve c(d) = 0 for d.
-2, 2/7, 2/5, 1
Let q(t) be the second derivative of -t**7/105 + 29*t**6/25 - 967*t**5/25 + 881*t**4/15 + 129*t**3 - 1849*t**2/5 - 5*t - 3. Let q(d) = 0. What is d?
-1, 1, 43
Determine n so that -15638*n - 6*n**3 + 9*n**3 + 33*n**2 + 15710*n = 0.
-8, -3, 0
Let m(y) be the third derivative of 11*y**2 - 5/12*y**4 + 0 - 1/12*y**5 + 0*y**3 + 1/24*y**6 + 0*y. Suppose m(a) = 0. Calculate a.
-1, 0, 2
Let t = -8977 + 8977. Factor 1/3*q**4 + 1/3*q + q**2 + q**3 + t.
q*(q + 1)**3/3
Let n(u) = -u**3 + 3*u**2 - 3*u + 2. Let w be n(2). Let z be 72/27 + (0 - w). Determine q so that -2/3*q**5 + 4*q**4 - z*q + 8*q**2 + 0 - 26/3*q**3 = 0.
0, 1, 2
Let z = 5701/70 - -419/70. Let x = -87 + z. Suppose 0 - x*g**2 - 9/7*g = 0. Calculate g.
-3, 0
Let z be (-93)/744 + 118/880. L