 15*j**2 - 3 - u*j**3 - 8*j**4 - 7*j**2 + 2*j = 0. What is j?
-1, 3/5, 1
Let u(p) = -18*p**5 - 117*p**4 + 184*p**3 - 67*p**2 + 3. Let q(w) = -w**4 + w**2 - 1. Let x(r) = 3*q(r) + u(r). Solve x(n) = 0.
-8, 0, 2/3
Let z(u) be the third derivative of u**5/15 + 11*u**4/2 + 64*u**3/3 - 175*u**2. Suppose z(s) = 0. Calculate s.
-32, -1
Let y(r) be the second derivative of 0 - 9/2*r**2 - r**3 + 8*r - 1/12*r**4. Let y(d) = 0. What is d?
-3
Let a(o) be the first derivative of -13/3*o**3 + 17/5*o**5 - 4*o - 8*o**2 - 15 + 11/4*o**4 + 5/6*o**6. What is i in a(i) = 0?
-2, -1, -2/5, 1
Suppose 15*q + 18 = 18. Let a(k) be the third derivative of 1/330*k**5 + 0*k - 1/33*k**3 + q - 4*k**2 + 0*k**4. Factor a(p).
2*(p - 1)*(p + 1)/11
Let l(y) be the third derivative of y**7/525 - 17*y**6/300 + 61*y**5/150 + 39*y**4/20 - 54*y**3/5 + 4*y**2 - 5. Factor l(i).
2*(i - 9)**2*(i - 1)*(i + 2)/5
Suppose 0*z - 2*z + 4*w + 26 = 0, -5*z + 5*w = -45. Find x such that -319*x**5 - 3*x**4 - x**4 + 320*x**z + 3*x**4 = 0.
0, 1
Suppose 0 = -3*i - 5*p + 298, -4*i + 2*p = -9*i + 465. Find h such that -43*h**4 - 10*h**5 + i*h**4 + 18*h**3 - 64*h**4 + 16*h**2 - 8*h = 0.
-2, -1, 0, 2/5, 1
Let i(z) = z**3 - 2*z - 1. Let o(v) = 9*v**3 + 118*v**2 + 59*v - 50. Let y(h) = 12*i(h) - 3*o(h). Factor y(w).
-3*(w + 1)*(w + 23)*(5*w - 2)
Suppose 12 + 55 = c. Factor -6*w**2 + 5*w**2 + 68*w**3 - c*w**3.
w**2*(w - 1)
Let f(t) = 3*t + 3. Let l be f(-1). Let p be 4 - (4/(-4) + 2). What is a in -a**3 + l*a**2 + p*a - 2*a**3 - 6 + 6*a**2 = 0?
-1, 1, 2
Let z(q) = -q**2 - q. Let u(p) = -11*p - 20*p**3 + 18*p**2 + 10*p**2 - 7*p**3. Suppose -10*d = -0 + 10. Let o(a) = d*u(a) + 5*z(a). Factor o(m).
3*m*(m - 1)*(9*m - 2)
Let m(s) = 8*s**3 - 13*s**2 - 16*s + 25. Let g(w) = -13*w**3 + 19*w**2 + 24*w - 40. Let i(n) = 5*g(n) + 8*m(n). Factor i(f).
-f*(f + 1)*(f + 8)
Let t(y) be the second derivative of y**4/42 - 32*y**3/21 - 15*y**2 + 197*y. Find l, given that t(l) = 0.
-3, 35
Factor -52/11*j - 338/11 - 2/11*j**2.
-2*(j + 13)**2/11
Let p be (-378)/(-1764) + (-41)/322. Factor p*g**2 - 4/23 + 2/23*g.
2*(g - 1)*(g + 2)/23
Determine z, given that -4/5 - 1/5*z**3 + 7/5*z - 2/5*z**2 = 0.
-4, 1
Let v(w) = -w**3 - w**2 + 1. Suppose -4*f = 2*u + 2*u - 4, -2*u = 3*f. Let y(l) = 13*l**3 - 12*l**2 + 5*l - 3. Let h(q) = u*v(q) + y(q). Factor h(i).
5*i*(i - 1)*(2*i - 1)
Suppose -2*m = 4*p + 16, -2*p = 11 - 3. Factor m + i + 1/4*i**3 - 5/4*i**2.
i*(i - 4)*(i - 1)/4
Factor -54/5*v + 3/5*v**2 - 57/5.
3*(v - 19)*(v + 1)/5
Let b(w) = -3*w**3 + 3*w - 2*w**2 + 0*w + 1 + 0*w**3. Let k be -1*(-3 + 7) + 3. Let v(g) = g**3 - g**2 - g. Let d(f) = k*b(f) + v(f). Let d(o) = 0. Calculate o.
-1, -1/4, 1
Suppose 4*z - 22 = 2*t, -3*t = -5*t - 6. Let a(o) = 4*o**5 - 8*o**3 - 4*o + 4. Let d(j) = -4*j**5 + 9*j**3 + 5*j - 5. Let i(g) = z*d(g) + 5*a(g). Factor i(l).
4*l**3*(l - 1)*(l + 1)
Let p(c) be the second derivative of 1/15*c**6 + 2*c**4 - 3/5*c**5 + 2*c - 24 - 10/3*c**3 + 3*c**2. Factor p(b).
2*(b - 3)*(b - 1)**3
Let t(r) = -8*r**3 - r**2. Let h be t(-1). Let o(c) = c**2 - 8*c + 9. Let x be o(h). Find s such that 0*s**x + 7 - 34 - 3*s**2 + 41*s - 23*s = 0.
3
Let u(o) be the third derivative of o**9/756 - 11*o**7/840 + o**6/40 - o**5/60 + 11*o**3/3 - 35*o**2. Let s(f) be the first derivative of u(f). Factor s(a).
a*(a - 1)*(a + 2)*(2*a - 1)**2
Let b(x) = -11*x**3 + 2*x**2 + 3*x + 2. Let l be b(-1). Let g be (27/42)/(l/14). Solve 3/4*o**2 - g*o - 1/4*o**3 + 1/4 = 0 for o.
1
Let x be ((-182)/(-35) + -5)*20. Let c(g) be the first derivative of 0*g + 0*g**3 + 6 - 1/12*g**6 + 0*g**5 + 1/8*g**x + 0*g**2. Factor c(k).
-k**3*(k - 1)*(k + 1)/2
Let a(p) be the second derivative of -p**4/96 - 5*p**3/16 - 13*p**2/8 + 17*p + 2. Find v, given that a(v) = 0.
-13, -2
Suppose 44*p**4 - 5*p**2 - 213*p**5 + 19*p**2 - 172*p**3 + 26*p**2 + 229*p**5 = 0. Calculate p.
-5, 0, 1/4, 2
Factor -3*o**2 + o**2 + 34*o + 32*o + 4 - 64*o.
-2*(o - 2)*(o + 1)
Let s(n) be the first derivative of -n**6/24 - n**5/4 - 5*n**4/12 + 3*n**2 + 18. Let q(h) be the second derivative of s(h). Factor q(a).
-5*a*(a + 1)*(a + 2)
Let d be -1 + ((-2)/(4/(-70)) - -2). Factor d*z**2 + 20*z**3 + 4*z**4 + 28*z + 0*z**4 + 8 + 0*z**4.
4*(z + 1)**3*(z + 2)
Let -3*u - 12*u - 8 - u**2 + 3*u + 5*u - 2*u = 0. What is u?
-8, -1
Let w(r) be the first derivative of 10*r**3/9 - 6*r**2 + 6*r + 351. Find z, given that w(z) = 0.
3/5, 3
Let y(l) = -604*l + 4230. Let t be y(7). Solve 0*d + 5/3 - 5/3*d**t = 0.
-1, 1
Let i be (-6)/(-9) + (3 - 51/9). Let o be (i/(-4)*0)/(5 - 3). Factor -1/4*w**3 + 1/4*w**2 + o*w + 0.
-w**2*(w - 1)/4
Let b be 62/(-93)*(0 - (-222)/(-4)). Factor -b*a + 20 + 5*a**2 + 56 + 49 - 13*a.
5*(a - 5)**2
What is s in 40/21 - 50/7*s**2 - 2/3*s**3 - 32/7*s = 0?
-10, -1, 2/7
Let u(x) be the second derivative of x**5/180 - x**4/24 - 7*x**2 + 7*x. Let a(i) be the first derivative of u(i). Solve a(y) = 0.
0, 3
Suppose 3*b**5 - 10*b**3 - 8*b**4 + 5*b - 8*b**4 - 4*b**4 + 40*b**2 - 10 + 2*b**5 - 10 = 0. Calculate b.
-1, 1, 4
Let q(l) be the first derivative of l**4/4 - 25*l**3/3 - l**2/2 + 25*l - 1. Suppose q(g) = 0. What is g?
-1, 1, 25
Let w(k) be the second derivative of 2*k**6/3 + 56*k**5/5 + 61*k**4/3 + 20*k**3/3 + 68*k - 6. Factor w(t).
4*t*(t + 1)*(t + 10)*(5*t + 1)
Factor 2/7*l**2 - 144*l + 18144.
2*(l - 252)**2/7
Let m(u) = u**2 - 8*u - 9. Let g be m(8). Let b(l) = l**2 + 9*l + 3. Let x be b(g). Let h**2 + 2*h**x + 4*h**3 - 4*h**3 - h = 0. Calculate h.
-1, 0, 1/2
Find m such that 592*m**3 + 100*m**2 + 360 + 597*m**3 - 1184*m**3 - 465*m = 0.
-24, 1, 3
Let n(d) = -3*d**2 - 11*d + 16. Let k(h) = 4*h**2 + 16*h - 24. Let m(o) = -5*k(o) - 8*n(o). Let x(y) = -y. Let s(p) = m(p) + 4*x(p). Factor s(t).
4*(t - 1)*(t + 2)
Let c be (-40)/30*(-45)/12. Suppose 17 = b - 5*b + c*n, 2*n = -4*b + 18. Determine v so that -3/4*v - 3/4 + 3/4*v**3 + 3/4*v**b = 0.
-1, 1
Let i = 18/161 - -50/23. Factor -32/7 - i*r - 2/7*r**2.
-2*(r + 4)**2/7
Let c(o) be the first derivative of 0*o**4 + 0*o + 1 + 2/9*o**3 - 4*o**2 - 1/20*o**5. Let v(m) be the second derivative of c(m). Factor v(b).
-(3*b - 2)*(3*b + 2)/3
Let d(r) = 14*r**5 + 6*r**4 + 4*r**3 + 12*r + 12. Let y = 118 + -106. Let j(w) = -w**5 - w**3 - w - 1. Let x(g) = y*j(g) + d(g). Factor x(z).
2*z**3*(z - 1)*(z + 4)
Let i = -6 - -24. Let v = i + -16. Suppose -21*f**v + 0*f**3 - 9*f**4 - 25*f**3 - 6*f + f**3 = 0. What is f?
-1, -2/3, 0
Let w(s) be the second derivative of -s**6/50 + 5*s**4/4 + 6*s**3 + 54*s**2/5 - 10*s + 1. Determine g so that w(g) = 0.
-3, -2, -1, 6
What is h in 2*h - 2*h + 2*h**4 + 1173*h**3 - 1231*h**3 = 0?
0, 29
Let b(i) = 10*i**5 - 18*i**3 - 2*i**2. Let d(o) = -o**5 + o**3 - o**2. Let y(v) = -b(v) - 6*d(v). Find s, given that y(s) = 0.
-1, 0, 2
Suppose 16 = -j - j. Let p be j/(-48) - 2914/(-12). Determine o so that p*o**3 + 3 + 8 + 120*o + 163*o**2 + 188*o**2 + 1 = 0.
-1, -2/9
Let u(k) be the first derivative of k**6 - 68*k**5/15 + 19*k**4/6 + 28*k**3/3 - 28*k**2/3 - 16*k/3 + 155. Determine v, given that u(v) = 0.
-1, -2/9, 1, 2
Let f be 1 - (-1 - 4)/5. Factor -10*o**2 - 30*o - 45 + 14*o**2 - 9*o**f.
-5*(o + 3)**2
Let t = 8177 + -8174. Factor 0 + 0*g + 0*g**2 + 1/4*g**4 + 1/4*g**t.
g**3*(g + 1)/4
Let w(g) be the third derivative of g**5/420 + 3*g**4/14 + 34*g**3/21 - 219*g**2. Factor w(s).
(s + 2)*(s + 34)/7
Let s(z) be the first derivative of -z**6/6 + 7*z**5/5 - 3*z**4/2 - 32*z**3/3 + 16*z**2 + 689. Let s(h) = 0. What is h?
-2, 0, 1, 4
Let j be (-1 - -2)*(-3)/(-1). Factor 15*x**j - 15*x**2 + 3*x**2 + 5*x**4 - 8*x**2.
5*x**2*(x - 1)*(x + 4)
Let c = 40 + -40. Let q(i) be the third derivative of 13/20*i**5 - 1/8*i**6 - 2*i**3 + c*i + 3*i**2 - 1/2*i**4 + 0. Suppose q(k) = 0. Calculate k.
-2/5, 1, 2
Let k be (-24)/28 - (5 + 410/(-70)). Let m(q) be the second derivative of q**3 + 0*q**2 + 9/5*q**5 + 9/4*q**4 + k - 2*q + 1/2*q**6. Factor m(i).
3*i*(i + 1)**2*(5*i + 2)
Let p(g) be the first derivative of -g**4/22 - 16*g**3/33 - 12*g**2/11 - 63. Factor p(l).
-2*l*(l + 2)*(l + 6)/11
Let o(y) be the third derivative of -y**6/200 - y**5/50 + 3*y**4/40 + 40*y**2. Factor o(g).
-3*g*(g - 1)*(g + 3)/5
Factor -12 + 0 + 2*l**2 + 0 + 26*l - 36*l.
2*(l - 6)*(l + 1)
Let c = -10919/42 + 1821/7. Determine z, given that 0*z - 1/6*z**2 + c = 0.
-1, 1
Let s(n) be the sec