ve 5/3*z + 2/3 + p*z**2 = 0.
-2, -1/2
Let j(y) be the second derivative of -11*y**6/15 - 29*y**5/2 + 152*y**4/3 + 20*y**3 + 45*y + 2. Suppose j(w) = 0. What is w?
-15, -2/11, 0, 2
Let o(i) be the third derivative of -i**7/10 + i**6/15 - 2*i**5/105 - i**4/6 + 15*i**2. Let u(f) be the second derivative of o(f). Factor u(z).
-4*(21*z - 2)**2/7
Let g be (0 - -3) + (7 - 6) - -1. Factor 8*v**2 - v**3 + g*v**3 - 1 + 4*v + 1.
4*v*(v + 1)**2
Let p(c) be the third derivative of -c**5/120 - 193*c**4/24 - 37249*c**3/12 + 2*c**2 - 49*c. Factor p(u).
-(u + 193)**2/2
Factor -39 + 4*c**4 - 73 + 172 - 64*c**2 + 37*c + 19*c - 56*c**3.
4*(c - 15)*(c - 1)*(c + 1)**2
Let d(y) = -1. Let o(v) = -4*v**3 - 8*v**2 - 4*v - 24. Let w be 30/9*180/(-25). Let h(c) = w*d(c) + o(c). Factor h(g).
-4*g*(g + 1)**2
Suppose -3*v - 16 = -2*o, 6*o - 2*v + 12 = 16*o. Find p such that 0*p - 2/13*p**3 - 8/13*p**o + 0 = 0.
-4, 0
Let v = -12 + 8. Let q = -2 - v. Factor 12*b**2 + 4 + q*b - 28*b**2 + 14*b**2.
-2*(b - 2)*(b + 1)
Suppose 265 = -5*z - 10. Let n = z + 57. Find t such that 0 - 2/3*t**n + 2/3*t = 0.
0, 1
Let b(y) be the second derivative of 0*y**2 + 1/30*y**4 - 10 + 3*y + 8/15*y**3. Factor b(o).
2*o*(o + 8)/5
Let u be 12/5*(-160)/4. Let g = u + 99. Factor -9/5*m**2 + 9/5*m + 3/5*m**g - 3/5.
3*(m - 1)**3/5
Let r(m) be the second derivative of 0 + 0*m**3 + 2*m**2 + 1/20*m**5 + 1/8*m**4 + 2*m. Let g(f) be the first derivative of r(f). Let g(v) = 0. Calculate v.
-1, 0
Let k(l) be the second derivative of 9*l**5/50 + 47*l**4/10 + 91*l**3/15 + 3*l**2 - 27*l. Suppose k(m) = 0. What is m?
-15, -1/3
Let j be (2 - (-2 + 3))*(-15)/(-5). Let b be 1 + (5 - (0 + 2)). Factor 2 - b*c**2 - j*c + 3*c**2 + c + c.
-(c - 1)*(c + 2)
Let b be (8/(-108))/(3/(-18)). Let f(i) = i**2 + 5*i - 6. Let q be f(-6). What is k in 0*k - 2/9*k**5 + q + 0*k**2 - 2/3*k**4 - b*k**3 = 0?
-2, -1, 0
Let d be 400/(-450) - (-134)/90. Determine s, given that -6/5*s + 21/5*s**2 + 0 - d*s**5 - 27/5*s**3 + 3*s**4 = 0.
0, 1, 2
Suppose -4*o = o. Let i = 5 - o. Determine c, given that -3*c - 2*c**2 - i + 3 + 3*c**3 + c**3 - c**5 + 4 = 0.
-2, -1, 1
Let v(y) be the second derivative of y**9/60480 - y**8/13440 - 11*y**4/12 - 4*y. Let z(c) be the third derivative of v(c). Factor z(l).
l**3*(l - 2)/4
Let k(d) = -24*d**2 - 104*d + 6. Let y(h) = -23*h**2 - 104*h + 9. Let q(s) = -5*k(s) + 6*y(s). Factor q(o).
-2*(o + 6)*(9*o - 2)
Let y(t) be the third derivative of t**5/480 + 17*t**4/96 - 3*t**3/2 + 346*t**2. Factor y(l).
(l - 2)*(l + 36)/8
Suppose 2*g = -3*f + 21 - 1, -20 = -4*f + 4*g. Determine z, given that -z + z**4 + 8*z**3 - 5 - z + 4 - f*z**3 = 0.
-1, 1
Factor 4/7*r**3 + 1/7*r**4 + 175 - 20*r - 66/7*r**2.
(r - 5)**2*(r + 7)**2/7
Suppose 7 = 6*r - 5. Let l(y) be the first derivative of 0*y - 2/13*y**5 - 2/13*y**3 + 1/39*y**6 + 0*y**r + 7/26*y**4 + 1. Factor l(h).
2*h**2*(h - 3)*(h - 1)**2/13
Suppose -6*u + u = -u. Let t(a) be the second derivative of 2*a + 1/9*a**3 + 1/36*a**4 + u + 1/6*a**2. Factor t(j).
(j + 1)**2/3
Let f(k) be the third derivative of -k**8/168 - k**7/21 - 3*k**6/20 - 7*k**5/30 - k**4/6 - 31*k**2 + k. Let f(o) = 0. What is o?
-2, -1, 0
Let m = 644 + -3212/5. Solve -241/5*g**3 - 12*g + 156/5*g**4 + m + 174/5*g**2 - 36/5*g**5 = 0.
1/2, 2/3, 2
Let r = 136 - 133. Let y = 10 + -7. Factor -6*x**2 + 9*x**3 - x**3 - 4*x**y + 5*x**3 - r*x.
3*x*(x - 1)*(3*x + 1)
Let z(s) = s**4 + 34*s**3 + 77*s**2 + 29*s - 3. Let g(y) be the first derivative of y**5/5 + y**3/3 + y**2/2 + y + 37. Let p(m) = 6*g(m) + 2*z(m). Factor p(r).
4*r*(r + 4)**2*(2*r + 1)
Let j(w) be the first derivative of 5*w**6/6 - 13*w**5 + 105*w**4/2 - 290*w**3/3 + 185*w**2/2 - 45*w - 104. Factor j(c).
5*(c - 9)*(c - 1)**4
Let p be ((-7 - -9) + 4)/(-3 - -7). Let p*j**2 - 3 + 3/2*j = 0. Calculate j.
-2, 1
Suppose -149*g + 763 + 501 = 483*g. Solve -8/11*w + 8/11 - 10/11*w**3 - 26/11*w**g = 0.
-2, -1, 2/5
Let j be 0 + 7*18/42. Let m(p) be the first derivative of -2/9*p**j + 1/18*p**4 + 1/3*p**2 - 2/9*p + 3. Let m(h) = 0. Calculate h.
1
Find v, given that 0 - 24/17*v**2 - 2/17*v**3 + 0*v = 0.
-12, 0
Let o(x) = 2*x**5 - x**2 + 1. Let j(i) = 22*i**5 - 4*i**4 + 96*i**3 - 256*i**2 + 226*i - 60. Let v(s) = -j(s) + 12*o(s). Determine u so that v(u) = 0.
-9, 1, 4
Let j = 16161/2 - 8079. Find v, given that j*v**2 + 1 + 9/4*v + 1/4*v**3 = 0.
-4, -1
Let u(t) be the second derivative of -t**6/75 + 6*t**5/25 - 8*t**4/5 + 64*t**3/15 + 6*t + 28. Factor u(c).
-2*c*(c - 4)**3/5
Let p(c) be the first derivative of -c**3/3 - c**2/2 - c - 3. Suppose 5*h - 14 = 16. Let r(z) = -7*z**2 - 4*z - 6. Let k(t) = h*p(t) - r(t). Factor k(q).
q*(q - 2)
Let c(y) be the second derivative of y**7/42 - 2*y**6/75 - y**5/100 + 129*y. Factor c(t).
t**3*(t - 1)*(5*t + 1)/5
Let o = 39 + -25. Factor -15*i**2 - 4 + 0 + o*i**2 + 5*i**4 + 7*i**3 - 8*i + i**5.
(i - 1)*(i + 1)**2*(i + 2)**2
Determine x so that -212*x - 36*x**4 + 71*x**2 - 175 + 431 + 4*x**5 + 80*x**3 - 172*x + 9*x**2 = 0.
-2, 1, 2, 4
Let -25/2*m - 5/2*m**3 + 0 - 15*m**2 = 0. Calculate m.
-5, -1, 0
Let v(n) be the first derivative of -n**6/2 - 21*n**5/5 - 15*n**4/2 + 2*n**3 + 33*n**2/2 + 15*n + 68. Let v(p) = 0. Calculate p.
-5, -1, 1
Suppose 13 - 143*p + 4*p**2 + 27 + 115*p = 0. Calculate p.
2, 5
Let z(g) = g**3 + 12*g**2 + 9*g - 4. Let v be z(-11). Determine o, given that -20*o**2 - 2*o + v*o**2 - 10 - 9*o - o = 0.
-5, -1
Let m(n) be the second derivative of 20*n - 1/2*n**4 + 6*n**2 + 7/3*n**3 + 0. Factor m(o).
-2*(o - 3)*(3*o + 2)
Factor 5*a**2 + 76*a - 220*a - 5*a**4 - 35*a**3 + 96*a + 83*a.
-5*a*(a - 1)*(a + 1)*(a + 7)
Let i be (-5 - -6)/(162/(-82) - -2). Let z = -37 + i. Let 0 - 12/5*g**3 - 6/5*g + 3/5*g**z + 3*g**2 = 0. Calculate g.
0, 1, 2
What is i in -64*i + 4/5*i**2 + 624/5 = 0?
2, 78
Let c = 346 - 340. Let n(r) be the third derivative of 0*r**4 - 1/280*r**7 + 0*r**5 + 0 - 1/448*r**8 + 0*r - 3*r**2 + 0*r**c + 0*r**3. Factor n(t).
-3*t**4*(t + 1)/4
Factor -18*l**3 - 9/2*l - 3/2*l**5 + 0 - 15*l**2 - 9*l**4.
-3*l*(l + 1)**3*(l + 3)/2
Let v be (-245)/10*(-35)/245. Solve -v*n**2 - 3 + 23/2*n = 0 for n.
2/7, 3
Let g be (-14)/(-343)*14/4. Find x such that -2/7 - g*x**4 - 1/7*x + 3/7*x**2 + 1/7*x**3 = 0.
-1, 1, 2
Factor 4*o**2 - 2 + 104 + 40*o - 2.
4*(o + 5)**2
Let w = 0 - -2. Suppose -4*j + c = -8, 4*j - 5 - 3 = 2*c. Solve 6*t**2 + t**2 - t**j - w*t**3 + 2 - 6*t = 0 for t.
1
Let j(h) be the second derivative of h**5/150 - h**4/10 + h**3/3 + 35*h**2/2 + 2*h - 3. Let b(m) be the first derivative of j(m). Factor b(q).
2*(q - 5)*(q - 1)/5
Let l be (-1602)/1869*21/(-9). Find b such that -10/3*b - 5/6*b**l - 10/3 = 0.
-2
Let f(u) = u**3 - u. Let k(p) = 5*p**4 + 55*p**3 + 45*p**2 - 5*p. Let n(a) = 5*f(a) - k(a). Determine m, given that n(m) = 0.
-9, -1, 0
Suppose -6*c = -11*c + 10. Determine s, given that 10*s**3 + 2*s + 6*s**3 - 3*s**c - 16*s**3 + s**4 = 0.
-2, 0, 1
Let r(h) be the second derivative of h**7/1260 - h**6/180 + 4*h**4/3 - 8*h. Let f(p) be the third derivative of r(p). Solve f(t) = 0.
0, 2
Let u(m) be the first derivative of m**6/6 + 4*m**5/5 + 3*m**4/4 - 4*m**3/3 - 2*m**2 - 15. Factor u(f).
f*(f - 1)*(f + 1)*(f + 2)**2
Let m(t) = -565*t - 10733. Let a be m(-19). Factor -1/8*j**a + 3/8*j + 1/2.
-(j - 4)*(j + 1)/8
Let m(f) be the first derivative of -2*f + 4 - 1/4*f**4 - 1/5*f**5 + 1/2*f**2 + f**3. Determine p so that m(p) = 0.
-2, -1, 1
Let i be (6 - 9)/((-3)/4*1). Factor 8*h**i + 22*h**5 + 56*h**2 + 22*h**5 + 20*h - 48*h**5 + 48*h**3.
-4*h*(h - 5)*(h + 1)**3
Factor -39*q**4 - 60*q**4 + 36*q**2 + 9 + 102*q**4 - 30*q - 18*q**3.
3*(q - 3)*(q - 1)**3
Suppose -9*t - 12 = -13*t. Factor 3*c**t + 8*c**2 - 5*c**2 + 6*c**2 - 6*c**3.
-3*c**2*(c - 3)
Factor 85*s**4 + 105 - 258*s**2 + 390*s**3 + 415*s - 359877*s**5 + 868*s**2 + 359872*s**5.
-5*(s - 21)*(s + 1)**4
Let m(l) be the third derivative of l**4/24 - 7*l**3/2 + 10*l**2. Let h be m(23). Suppose -g + 1/2*g**h + 1/2 = 0. Calculate g.
1
Let x(h) = h**2 - h. Let p(q) = 2*q**2 - 4*q. Let g(r) = r**3 - 5*r**2 + 2*r - 6. Let k be g(5). Suppose -3*c + 3 = -k*c. Let u(b) = c*x(b) + p(b). Factor u(l).
-l*(l + 1)
Let r(v) be the third derivative of v**8/12096 - v**7/1008 - v**6/108 - v**5/12 + 11*v**2. Let i(u) be the third derivative of r(u). Find f such that i(f) = 0.
-1, 4
Suppose 4*g + 17 =