j**2 - 1/15*j**4 + 4/15*j**3 + 1/150*j**5. What is y in q(y) = 0?
2
Let m(s) be the first derivative of -s**6/3 - 2*s**5/5 + 43*s**4 + 380*s**3/3 - 1925*s**2 - 12250*s + 600. Factor m(q).
-2*(q - 7)**2*(q + 5)**3
Let g(t) be the third derivative of 0*t**4 + 0*t**3 - 17/1200*t**6 + 0 - 1/420*t**7 + 2*t + 28*t**2 - 1/100*t**5. Factor g(o).
-o**2*(o + 3)*(5*o + 2)/10
Let f(k) = 6*k**2 - 898*k - 300. Let s be f(150). Let -12/19*w**2 - 2/19*w**3 + s + 14/19*w = 0. Calculate w.
-7, 0, 1
Let u be 4/(-28)*(-10 - -9). Factor 2/7 - u*d**2 - 1/7*d.
-(d - 1)*(d + 2)/7
Let a(h) be the third derivative of -h**8/84 - 8*h**7/105 + h**6/10 + 22*h**5/15 + 2*h**4/3 - 16*h**3 - 356*h**2. Suppose a(z) = 0. Calculate z.
-3, -2, 1, 2
Suppose -18*b + 46 + 8 = 0. Let v(h) be the second derivative of 1/2*h**b + 0*h**2 - 1/12*h**4 + 0 + h. Factor v(k).
-k*(k - 3)
Suppose 17*r = 19*r - 80. Find j such that -10*j - 10*j - 10*j**3 + r*j**2 - 15*j**3 + 5*j**4 = 0.
0, 1, 2
Let s = 325 + -323. Let o(i) be the third derivative of 0*i**3 + 1/110*i**5 + 0 + 0*i + 1/132*i**4 - 4*i**s. Factor o(y).
2*y*(3*y + 1)/11
Let a(m) be the second derivative of m**6/60 + 9*m**5/40 + 7*m**4/8 + 19*m**3/12 + 3*m**2/2 - 41*m - 2. Find j, given that a(j) = 0.
-6, -1
Let v(m) be the third derivative of 0*m - 1/5*m**5 - 1/40*m**6 - 1/2*m**4 - 10*m**2 + 0 + 0*m**3. Factor v(p).
-3*p*(p + 2)**2
Let k = 2315/22534 - -3/1186. Factor 2/19*z**2 - k*z - 4/19.
2*(z - 2)*(z + 1)/19
Suppose -4*t + 23 = 7. Find w such that 5*w + 3*w**2 - 4*w**2 - t*w**2 = 0.
0, 1
Factor -2*w**4 - 54/7*w + 36/7*w**2 - 54/7 + 2/7*w**5 + 20/7*w**3.
2*(w - 3)**3*(w + 1)**2/7
Let i(y) = -56 - 3*y**5 + 0*y**3 - 9*y**3 + 9*y**4 - 4*y + 60 - y**2. Let g(l) = -3*l**5 + 9*l**4 - 9*l**3 - 3*l + 3. Let q(r) = -4*g(r) + 3*i(r). Factor q(a).
3*a**2*(a - 1)**3
Let w(c) be the third derivative of c**5/20 - 37*c**4/8 - 19*c**3 + 447*c**2. Let w(t) = 0. Calculate t.
-1, 38
Let o = 2 + 2. Factor a**2 - 10 + 2 - o*a - 3*a**2 - 4*a.
-2*(a + 2)**2
Let z be (233/(-466))/(18/(-8)). Let -200/9*j**2 - z + 40/9*j = 0. Calculate j.
1/10
Let h = 1153/3 + -377. Let c be (-51)/1105*-13 - 31/(-15). What is r in -3*r + c*r**4 - 1/3*r**5 + 8*r**2 - h*r**3 + 0 = 0?
0, 1, 3
Let t(i) be the second derivative of 1/3*i**3 + 0 + 0*i**2 + i - 1/6*i**4. Factor t(s).
-2*s*(s - 1)
Let u(b) be the first derivative of 4/3*b**3 - 12*b + 51 - 4*b**2. Factor u(p).
4*(p - 3)*(p + 1)
Factor 2/7*d**3 + 8*d**2 + 54/7*d + 0.
2*d*(d + 1)*(d + 27)/7
Let o(y) be the first derivative of 25/3*y**3 + 20/3*y + 1/3*y**5 - 6 + 35/12*y**4 + 65/6*y**2. Determine z, given that o(z) = 0.
-4, -1
Let n(v) = v**3 + 30*v**2 - 63*v - 8. Let j(z) = 2*z**3 + 90*z**2 - 189*z - 22. Let r(h) = -4*j(h) + 11*n(h). Solve r(s) = 0.
0, 3, 7
Let y(g) = -g**2 - 3*g - 1. Let o(t) = -6*t**2 - 16*t + 5. Let b(w) = 4*o(w) - 4*y(w). Factor b(r).
-4*(r + 3)*(5*r - 2)
Let d(w) be the first derivative of -w**6/30 + 4*w**5/25 + w**4/20 - 4*w**3/15 - 534. Find x, given that d(x) = 0.
-1, 0, 1, 4
Suppose -5*r + 5*s = 0, 4*r + 701*s - 702*s = 6. Factor 44/5*p - 14*p**r + 5*p**3 - 8/5.
(p - 2)*(5*p - 2)**2/5
Let x(p) be the second derivative of 3*p**5/100 - 39*p**4/20 - 81*p**3/10 - 123*p**2/10 - 2*p + 17. Factor x(c).
3*(c - 41)*(c + 1)**2/5
Let f = -41 + 46. Suppose 0 = 8*z - 37 + f. Suppose -4/7*q**3 + 0*q + 0*q**2 + 2*q**z + 0 = 0. What is q?
0, 2/7
Suppose -13 = 5*r - 28. What is l in 4*l**2 + l**3 - 2*l**3 - l**2 - 2*l + 0*l**r = 0?
0, 1, 2
Let n = 13519/7 - 1926. Let x = n - 5. Factor 0 + 6/7*c + x*c**2.
2*c*(c + 3)/7
Let m(f) = f**3 + 9*f**2 + 14*f + 9. Let i be m(-7). Let w = 14 - i. What is x in 0 + 0*x + 1/3*x**w + 1/3*x**3 + 2/3*x**4 + 0*x**2 = 0?
-1, 0
Let a = 831 + -827. Let m(s) be the first derivative of -2 + 4/5*s**5 - 2*s**2 + 0*s - 4/3*s**3 + s**a. Determine x, given that m(x) = 0.
-1, 0, 1
Let c = -7505/4 + 82651/44. Determine m so that 0*m - 6/11*m**2 + c = 0.
-2, 2
Let t(o) be the first derivative of -o**7/63 - o**6/75 + o**5/75 - 17*o + 1. Let f(p) be the first derivative of t(p). Factor f(z).
-2*z**3*(z + 1)*(5*z - 2)/15
Let i be 482/8*4/332. Let z = 2/83 + i. Factor 0 + 3/4*u**3 + 1/4*u**5 + z*u**4 + 1/4*u**2 + 0*u.
u**2*(u + 1)**3/4
Let l(i) be the first derivative of i**6/6 - i**5/5 - i**4/4 + i**3/3 - 373. Find z, given that l(z) = 0.
-1, 0, 1
Let v(t) = -2*t**4 + 6*t**3 + 6*t**2 - 6*t - 8. Let s be 6*(0 - 2/4). Let i(l) = l**4 - 6*l**3 - 5*l**2 + 6*l + 7. Let m(x) = s*v(x) - 4*i(x). Factor m(n).
2*(n - 1)*(n + 1)**2*(n + 2)
Factor 48/5*j**3 + 0 - 4/5*j**4 + 56/5*j + 108/5*j**2.
-4*j*(j - 14)*(j + 1)**2/5
Let h = -66/13 + 607/117. Let o(m) be the first derivative of -2/3*m**2 - 1/3*m + 5 + h*m**3 + 1/3*m**4. Factor o(z).
(z - 1)*(z + 1)*(4*z + 1)/3
Let s(d) be the first derivative of -d**6/18 - 7*d**5/15 - 3*d**4/4 + 3*d**3 + 9*d**2 + 221. Suppose s(j) = 0. What is j?
-3, 0, 2
Let s(r) be the first derivative of r**5/20 - r**4/12 - r**3/3 + 31*r + 22. Let y(t) be the first derivative of s(t). Factor y(p).
p*(p - 2)*(p + 1)
Let q(r) = -29*r**3 + 1472*r**2 - 299*r + 4. Let j(h) = -405*h**3 + 20610*h**2 - 4185*h + 55. Let v(k) = 4*j(k) - 55*q(k). Suppose v(a) = 0. Calculate a.
0, 1/5, 59
Suppose -535 = -5*x + 555. Let w = x - 4140/19. Factor 26/19*d**2 + 24/19*d + w*d**4 + 12/19*d**3 + 8/19.
2*(d + 1)**2*(d + 2)**2/19
Let h = 540 - 1101/2. Let g = h - -71/6. Factor -2/5 + g*p - 2/5*p**2.
-2*(p - 3)*(3*p - 1)/15
Let o be 1 - 943/252 - (-2 + -1). Let n = -1/28 + o. Find b such that 2/3*b + n + 4/9*b**2 - 2/3*b**4 - 4/9*b**3 - 2/9*b**5 = 0.
-1, 1
Let p be (-168)/(-4)*1/3. Factor 266*s**2 - 2*s**5 + 10*s**3 + p - 264*s**2 - 6 - 16*s - 2*s**4.
-2*(s - 1)**3*(s + 2)**2
Let u(z) be the third derivative of z**10/52920 + z**9/26460 - z**8/5880 + 5*z**4/12 + 10*z**2. Let i(s) be the second derivative of u(s). Solve i(c) = 0 for c.
-2, 0, 1
Suppose t - 3*t = 3*p - 25, 2*t = p + 13. Suppose -5*b + 7*b = t. Factor f**3 + f**5 + 4*f**b + 7*f**3 + 3*f**5 - 16*f**4.
4*f**3*(f - 2)*(f - 1)
What is n in 8/3 + 1/3*n**2 + 3*n = 0?
-8, -1
Let h be 0/(-15 + -9 + 17). Factor h*u + 0 + 1/7*u**2.
u**2/7
Let l(y) be the third derivative of y**9/756 - y**8/84 + 2*y**7/105 - 5*y**3/3 + 29*y**2. Let w(h) be the first derivative of l(h). Let w(q) = 0. Calculate q.
0, 1, 4
Factor -56*x**3 + 56*x + 192*x**2 - 221 - 404673*x**4 + 25 + 404677*x**4.
4*(x - 7)**2*(x - 1)*(x + 1)
Let z be (-4)/((21/(-35))/(4/30)). Suppose z - 8/9*l + 2/9*l**2 = 0. What is l?
2
Let b(h) = -3*h**3 - 13*h**2 - 38*h - 48. Let d = -124 + 126. Let n(j) = -13*j**3 - 53*j**2 - 151*j - 192. Let f(v) = d*n(v) - 9*b(v). Factor f(x).
(x + 3)*(x + 4)**2
Let i(g) be the first derivative of g**7/14 - 2*g**6/5 + 3*g**5/5 + 10*g + 18. Let y(w) be the first derivative of i(w). Find f, given that y(f) = 0.
0, 2
Let o = -343 + 85. Let u be o/(-105) - (8/(-5))/4. Factor -12/7*y - 8/7 + u*y**2.
4*(y - 1)*(5*y + 2)/7
Let v(h) be the second derivative of -h**4/36 + h**3/6 + 47*h + 2. Let v(f) = 0. What is f?
0, 3
Let n(g) be the third derivative of -g**6/75 - 163*g**5/150 - 119*g**4/60 + 8*g**3/3 - 52*g**2. Suppose n(t) = 0. Calculate t.
-40, -1, 1/4
Let q(l) = l. Let d be q(4). Determine n, given that -d + 802*n**2 + 16 - 805*n**2 = 0.
-2, 2
Let s(r) be the first derivative of -11 + r**2 + r**3 - 1/10*r**5 - 1/8*r**4 - 4*r. Solve s(n) = 0.
-2, 1, 2
Let m(u) be the second derivative of 0*u**3 - 1/40*u**5 + 0*u**2 + 1/24*u**4 + 0 - 3*u. Solve m(q) = 0 for q.
0, 1
Let n(g) be the third derivative of 1/6*g**4 - 2/105*g**7 - 12*g**2 - 1/5*g**5 + 0 + 0*g + 0*g**3 + 1/10*g**6. Find h such that n(h) = 0.
0, 1
Let s(h) be the first derivative of h**3/3 - 16*h**2 - 68*h + 244. Factor s(j).
(j - 34)*(j + 2)
Let l(i) = 8*i**2 + 72*i + 67. Let b be l(-8). Find t such that -2/7*t**5 + 6/7*t**b + 0 + 4/7*t**4 - 8/7*t**2 - 8/7*t = 0.
-1, 0, 2
Let n = -4891 - -4891. Determine k so that 1/4*k**3 + n - k + k**2 - 1/4*k**4 = 0.
-2, 0, 1, 2
Let y(l) = -l**2 + 7*l - 6. Let j be y(6). Let h be ((-10582)/(-154))/13 - (7 - (4 + -2)). Find x, given that -2/7*x**2 - 4/7*x + j + h*x**3 = 0.
-1, 0, 2
Let v(a) be the first derivative of 0*a**2 + 8 - 5/12*a**3 + 5/4*a. Determine s so that v(s) = 0.
-1, 1
Let b(d) be the first derivative of 2*d**5/5 + d**4/2 - 8*d**3/3 - 4*d**2 + 13. Factor b(r).