0 + 3*w**3 = 0. What is w?
-2, -1, 0
Let x be (78/8 - 10) + (1 - -2). Find l, given that -1/4*l**4 + 0 - x*l**2 + 3/2*l**3 + 3/2*l = 0.
0, 1, 2, 3
Let y(d) be the second derivative of -d**7/105 - 8*d**6/75 - 17*d**5/50 - d**4/3 + 2*d - 43. Let y(v) = 0. What is v?
-5, -2, -1, 0
Let v(u) = -4*u**4 - 20*u**3 - 11*u**2 - 3*u - 8. Let t(c) = -4*c**4 - 21*c**3 - 10*c**2 - 3*c - 10. Let q(m) = 5*t(m) - 6*v(m). Factor q(g).
(g + 1)**2*(g + 2)*(4*g - 1)
Let z = 36763 - 36761. Solve -14/9*m + 8/9 + 2/9*m**3 + 4/9*m**z = 0 for m.
-4, 1
Let s(d) = 3*d + 97. Let o be s(-31). Let a(g) be the first derivative of 7 - 4*g**2 + 3/2*g**o - 2/5*g**5 + 0*g + 0*g**3. Solve a(x) = 0.
-1, 0, 2
Let i be (-2 + 32/10)/((-30)/(-75)). Suppose -9 - i = -4*j. Let -16/7*n**j + 40/7*n**2 + 8/7 - 20/7*n**5 - 48/7*n**4 + 36/7*n = 0. Calculate n.
-1, -2/5, 1
Suppose -3*a = 6*a + 56*a. Factor a*v**2 - 1/4*v**4 + v - 3/4*v**3 + 0.
-v*(v - 1)*(v + 2)**2/4
Let z(c) = -20*c**5 + 20*c**4 - 25*c**3 - 5*c**2 + 15*c. Let h(r) = r - 2*r + 2*r**2 - r**2 + r**5. Let o(j) = -15*h(j) - z(j). Solve o(t) = 0.
0, 1, 2
Suppose -290 = 5*f - 305. Let -1/7*o**f - 1/7*o + 0 + 2/7*o**2 = 0. Calculate o.
0, 1
Let y(i) = 25*i**3 - 45*i**2 - 55*i + 15. Let w be 9/2 - (-2)/4. Let r(l) = 24*l**3 - 45*l**2 - 54*l + 15. Let d(v) = w*r(v) - 4*y(v). Factor d(s).
5*(s - 3)*(s + 1)*(4*s - 1)
Let n(f) = 21*f**2 + 2667*f + 145209. Let o(r) = 5*r**2 + 666*r + 36302. Let z(h) = -2*n(h) + 9*o(h). Determine x so that z(x) = 0.
-110
Suppose 2*n - k - 10 = 0, 5*n + 5*k - 25 = -0*k. Let h(o) = -4*o**3 - 8*o**2 - 2*o + 1. Let z(d) = -d**2 - 1. Let l(b) = n*z(b) + 5*h(b). Factor l(c).
-5*c*(c + 2)*(4*c + 1)
What is b in 26*b - 4*b**3 - 6*b + 9*b**3 + 0*b - 60*b**2 + 80 + 5*b**4 = 0?
-4, -1, 2
Determine r so that 117/7*r**2 - 39/7*r**4 + 12/7 - 96/7*r + 6/7*r**3 = 0.
-2, 2/13, 1
Let g(q) = -2*q**2 - 83 - q + 80 + 2*q**3 - q**3. Let f be g(3). Find w, given that 4*w**4 - 6 - w**4 + 10*w + 0*w + 3*w**2 - 11*w**f + w = 0.
-1, 2/3, 1, 3
Let k(f) be the first derivative of -3*f**4/4 + 5*f**3/2 - 9*f**2/4 - 35. Solve k(p) = 0.
0, 1, 3/2
Suppose -2*x + 12 = 2*q - 0*x, -5*x + 10 = q. Suppose 3*b = 9, 5*b = -q*s - 0 + 25. Determine d so that -4*d**s + 16*d - 11 - 11 + 10 = 0.
1, 3
Let x be ((-20)/25)/((-1)/5). Factor 11*j**3 + 2*j**3 - 11*j**4 + 10*j**2 - 14*j**x + 2*j**3.
-5*j**2*(j - 1)*(5*j + 2)
Let c(v) be the second derivative of -v**4/24 - 3*v**3/4 - 7*v**2/2 + 5*v - 2. Solve c(p) = 0.
-7, -2
Factor -11/7*q**3 - 30/7 - 73/7*q - 55/7*q**2 + 1/7*q**4.
(q - 15)*(q + 1)**2*(q + 2)/7
Factor 92/9*a**2 - 2/9*a**5 + 2 - 20/3*a**3 + 2*a**4 - 22/3*a.
-2*(a - 3)**2*(a - 1)**3/9
Let k(a) be the first derivative of 0*a + 1/240*a**5 + 1/720*a**6 + 0*a**2 - 1/24*a**4 + 4 + 2*a**3. Let h(n) be the third derivative of k(n). Factor h(t).
(t - 1)*(t + 2)/2
Let a(f) be the third derivative of f**8/112 + 19*f**7/70 + 79*f**6/40 + 133*f**5/20 + 25*f**4/2 + 14*f**3 + 112*f**2. Factor a(t).
3*(t + 1)**3*(t + 2)*(t + 14)
Factor 150 + 5*x**3 - 43*x**2 + 3*x**2 + 0*x**3 + 0*x**3 - 115*x.
5*(x - 10)*(x - 1)*(x + 3)
Let t(p) = p**2 + 15*p - 52. Let q be t(-20). Let a(z) be the first derivative of -64/3*z**3 + 5 + q*z**2 - 36*z. What is k in a(k) = 0?
3/4
Suppose -5/4*g**2 - 1/4*g**3 + 11/2*g + 14 = 0. What is g?
-7, -2, 4
Let q(t) = t + 11. Let u be q(-9). Let r(b) = b**3 - b**2 + b + 384. Let p be r(0). Factor 74*i**4 - 672*i**3 - p*i + 1164*i**2 - 228*i**u + 48 + 73*i**4.
3*(i - 2)**2*(7*i - 2)**2
Factor -12*b**2 + 27*b**2 + 40 - b**2 - 10*b**2 + 0*b**2 + 28*b.
4*(b + 2)*(b + 5)
Suppose -371 + 221 = -3*u. Let a = -46 + u. Factor 0*h + 1/6*h**a + 1/6*h**2 + 0 - 1/3*h**3.
h**2*(h - 1)**2/6
Let n be ((-156)/48 + 7)/((-12)/(-32)). Let c(d) be the first derivative of n*d - 15/2*d**2 - 8 + 5/3*d**3. Determine a, given that c(a) = 0.
1, 2
Let c = -2998256/75 + 39976. Let d = -2/25 - c. Determine j so that 2*j - d*j**2 - 2*j**3 + 2/3 = 0.
-1, -1/3, 1
Let f be (128/160)/(20/45). Find y, given that 16*y + 51/5*y**2 + 28/5 - f*y**3 = 0.
-2/3, 7
Let b(s) be the first derivative of -21*s**5/5 - 75*s**4/4 - 33*s**3 - 57*s**2/2 - 12*s + 83. Suppose b(k) = 0. Calculate k.
-1, -4/7
Determine z, given that -2/3*z - 8/15*z**3 - 22/15*z**2 + 4/15 = 0.
-2, -1, 1/4
Determine g so that -12/13*g**4 - 2*g**3 - 2/13*g**5 + 0 - 8/13*g - 24/13*g**2 = 0.
-2, -1, 0
Let x(m) = -m**4 - 5*m**3 + 6*m**2 - 16. Let j(l) = l**3 + l + 2. Let u(w) = -12*j(w) - 3*x(w). Find q such that u(q) = 0.
-2, 1, 2
Suppose -101 = 5*a + 39. Let x = -25 - a. Factor 3/4*y**x + 0 - 3/2*y - 3/4*y**2.
3*y*(y - 2)*(y + 1)/4
Let y(k) be the third derivative of -k**6/15 - 23*k**5/3 - 868*k**4/3 - 1568*k**3 - 317*k**2. Solve y(d) = 0.
-28, -3/2
Let y(z) be the first derivative of -2*z**5/5 - 2*z**4 - 8*z**3/3 + 59. Suppose y(l) = 0. What is l?
-2, 0
Find r such that 35*r**5 - 192*r**3 - 100*r**2 - 213*r**3 + 10*r**4 - 20*r + 300*r**3 = 0.
-1, -2/7, 0, 2
Factor -58/7*x**2 - 26/7*x**3 + 2/7*x**4 - 30/7*x + 0.
2*x*(x - 15)*(x + 1)**2/7
Let k be 2/1*(-10)/(-4). Let z = 1174 - 1174. Factor 77/6*w**4 - 49/6*w**k - 16/3*w**3 + z + 2/3*w**2 + 0*w.
-w**2*(w - 1)*(7*w - 2)**2/6
Suppose -2*s = s. Let w be 2/(2 + 2)*(-3)/(-3). Factor -w*n**2 + s + 0*n + 9/4*n**3.
n**2*(9*n - 2)/4
Factor -1/4*w**4 + 93*w**3 - 25947/2*w**2 + 804357*w - 74805201/4.
-(w - 93)**4/4
Let x(z) be the second derivative of z**3/6 - 13*z**2/2 + 2*z. Let n be x(13). Let -4/11*u**2 - 6/11*u**3 + 0 - 2/11*u**4 + n*u = 0. Calculate u.
-2, -1, 0
Let t(w) be the first derivative of -2 - 1/180*w**6 + 0*w**3 + 0*w**4 + 0*w - 1/2*w**2 - 1/90*w**5. Let o(j) be the second derivative of t(j). Factor o(u).
-2*u**2*(u + 1)/3
Let y be -7 - (441/(-135) + -4). Let r(t) be the first derivative of 0*t**3 - 1/9*t**6 + 0*t - y*t**5 - 1/6*t**4 - 2 + 0*t**2. Factor r(j).
-2*j**3*(j + 1)**2/3
Factor -70*m**2 - 18 + 28 - 5*m**4 - 80*m**3 + 65 + 46*m + 34*m.
-5*(m - 1)*(m + 1)**2*(m + 15)
Let f = 11/25 + -27/175. Let o be ((-12)/(-28))/(9/27). Factor 9/7*a**3 - o*a + 2/7*a**2 - f.
(a - 1)*(a + 1)*(9*a + 2)/7
Let f be 1*10*-13*(-36)/585. Factor 4/5*x**2 + 20 + f*x.
4*(x + 5)**2/5
Factor 2/7*t**4 + 0*t - 6/7*t**2 + 0 - 4/7*t**3.
2*t**2*(t - 3)*(t + 1)/7
Let i(c) be the first derivative of -16/15*c**3 - 1/25*c**5 + 0*c**2 - 13 + 0*c + 2/5*c**4. Factor i(s).
-s**2*(s - 4)**2/5
Suppose 7*w = 8*w - 2. Factor 21*v**w - 4*v + 0*v - 33*v**2 - 28*v**2 - 100*v**3.
-4*v*(5*v + 1)**2
Let x(b) be the third derivative of b**7/60 + 3*b**6/40 - 3*b**5/40 - 7*b**4/12 + b**3 + 37*b**2 - b. Find l such that x(l) = 0.
-2, 3/7, 1
Factor 930*k - 3*k**3 + 9*k**2 - 447*k - 462*k + 9*k**2.
-3*k*(k - 7)*(k + 1)
What is p in 56/3*p - 4/3*p**2 + 20 = 0?
-1, 15
Let i = -40 - -46. Let o be (-2)/i - 5/(-6). Suppose 0 + 1/4*m**3 + 0*m**2 + 0*m - o*m**4 + 1/4*m**5 = 0. Calculate m.
0, 1
What is z in 6/7*z**4 + 24*z**2 + 0 + 80/7*z + 76/7*z**3 = 0?
-10, -2, -2/3, 0
Let t(p) be the third derivative of -p**5/60 - 7*p**4/12 + 491*p**2. Suppose t(u) = 0. What is u?
-14, 0
Find x such that 0 - 45*x**4 - 25/2*x**5 - 45/2*x**3 + 50*x**2 + 30*x = 0.
-2, -3/5, 0, 1
Let h(a) be the third derivative of 1/8*a**6 + 0*a + 0 + a**3 + 9/20*a**5 + 7/8*a**4 - 22*a**2 + 1/70*a**7. Find z such that h(z) = 0.
-2, -1
Let a = -3377 + 23687/7. Factor -6*i**2 + 180/7*i - a.
-6*(i - 4)*(7*i - 2)/7
Factor -185 - 3*q**3 - 2*q**2 - 115 - 360*q - 57*q**2 - 4*q**2.
-3*(q + 1)*(q + 10)**2
Let t be (2/1)/(1/6). Suppose 12 = 3*z - 3. Factor -21 - 3*b**4 + 24*b**2 - 20*b + 27 - t*b**3 + z*b**4.
2*(b - 3)*(b - 1)**3
Let w(a) = 9*a**4 + 60*a**3 - 108*a**2 + 105*a - 24. Let r(t) = -2*t**4 - 15*t**3 + 27*t**2 - 26*t + 6. Let p(n) = -21*r(n) - 5*w(n). Factor p(k).
-3*(k - 2)*(k - 1)**3
Let c(g) = -72*g**3 - g**2 + 3*g + 1. Suppose -6*r + 10 = -11*r. Let h be c(r). Suppose -564*v**4 + 15*v - 3*v**3 + h*v**4 - 9*v**2 + 1 - 7 = 0. Calculate v.
-2, 1
Factor 35*t**3 + t**3 - 30 - 35*t - 2*t**3 + 25*t**2 + t**3 + 5*t**4.
5*(t - 1)*(t + 1)**2*(t + 6)
Let a(q) = 5*q**3 + 7*q**2 - 14*q + 2. Let s(t) = 28*t**3 + 42*t**2 - 83*t + 13. Let k(l) = -34*a(l) + 6*s(l). Factor k(j).
-2*(j - 5)*(j - 1)**2
Let l(g) = -15*g**4 - 39*g**3 + 95*g**2 - 29*g - 36. Let i(b) = -15*b**4 - 38*b**3 + 95*b**2 - 28*b - 32. Let o(u) = -4*i(u) + 3*l(u). Factor o(t).
5*(t - 1)**2*