g - 2/11 - 2/11*g**w = 0.
1
Let x = 121201/120 - 1010. Let w(v) be the third derivative of 3*v**2 + x*v**5 + 0*v**3 + 1/420*v**7 + 0*v + 1/120*v**6 + 0 + 0*v**4. Factor w(y).
y**2*(y + 1)**2/2
Suppose -3 = -3*h + 21. What is r in h*r**3 - 2*r**3 + 5*r**5 + r + 4*r**2 + 4*r**4 - 4*r**5 = 0?
-1, 0
Let t(i) = i**2 - 12*i - 23. Let c be t(14). Factor 5*x - c*x + 0*x**2 + 2*x**2.
2*x**2
Suppose 0 = 2*d - 5*p - 20, -d + 6 = -3*p - 5. Let -19*t**d + 15*t**4 + 31*t**5 - 17*t**5 - 10*t**3 = 0. Calculate t.
0, 1, 2
Suppose 170 = 42*x - 8*x. Let w(g) be the third derivative of 0*g - 1/12*g**3 + 1/80*g**x + 6*g**2 - 1/96*g**4 + 0. Factor w(k).
(k - 1)*(3*k + 2)/4
Suppose 3*p + 32 = 11*p. Suppose p*t - z - 19 = 0, t - 4*z = -z + 13. Suppose -12*i**5 + 6*i**t + 8*i**3 - i**4 - i**4 = 0. What is i?
-2/3, 0, 1
Let v(f) be the third derivative of -f**6/40 + f**5/20 + 15*f**4/4 - 36*f**3 + 164*f**2. What is u in v(u) = 0?
-6, 3, 4
Suppose 0 = 3*a + 43*r - 46*r + 9, 4*r = 12. Find u such that -1/2*u**2 + a - u = 0.
-2, 0
Let t(x) = x - 5. Let n be t(5). Factor -2*v + v + v**3 + 0*v + v**2 - 1 + n*v.
(v - 1)*(v + 1)**2
Let i(z) be the third derivative of z**7/420 - z**6/60 - 13*z**5/120 + z**4/12 + z**3 - 494*z**2. Determine k so that i(k) = 0.
-2, -1, 1, 6
Let s be (-1045)/302 - (11 + -10 - 6). Let c = s + -6/151. Let c*w - 3/2*w**2 + 3 = 0. Calculate w.
-1, 2
Suppose 2*g + 12 = 8*g. Factor 70*x - 15*x**g + 12*x**3 - 34*x - 30*x - 3*x**4.
-3*x*(x - 2)*(x - 1)**2
Let k be (-19 - -22) + 0 + 0. Factor -111 + 99 + k*f**2 + 10*f - 5*f**2.
-2*(f - 3)*(f - 2)
Factor 51/5*f**2 - 9*f - 3/5*f**4 + 0 - 3/5*f**3.
-3*f*(f - 3)*(f - 1)*(f + 5)/5
Let a(b) be the third derivative of 0*b**3 + 0 + 0*b + 1/18*b**4 - 27*b**2 + 1/90*b**5. Factor a(z).
2*z*(z + 2)/3
Let i(b) be the first derivative of -5*b**6/24 - b**5 - 15*b**4/16 + 5*b**3/3 + 5*b**2/2 + 77. Solve i(k) = 0.
-2, -1, 0, 1
Let y(u) be the second derivative of -u**6/135 - 2*u**5/45 + u**4/27 + 4*u**3/9 - u**2 - 3*u - 42. Suppose y(v) = 0. What is v?
-3, 1
Let j be (3/15)/((-1)/5) - -1. Let o(w) be the second derivative of -1/2*w**5 - 1/3*w**4 + 0*w**3 - 1/5*w**6 + 0*w**2 + 2*w + j. Let o(y) = 0. Calculate y.
-1, -2/3, 0
Let g(l) = -3*l + 12. Let m(w) = -20*w + 71. Let j(c) = 39*g(c) - 6*m(c). Let n be j(-13). Solve 0 + 3*x**n - 2*x**4 + 0*x**2 + 1/3*x**5 + 0*x = 0.
0, 3
Let h = 2071 - 2067. Find g such that -32*g - 49/4*g**4 - h - 78*g**2 - 56*g**3 = 0.
-2, -2/7
Factor -81/5 + 18/5*u + 3/5*u**2.
3*(u - 3)*(u + 9)/5
Let g = 5481/8 - 685. Let j(o) be the third derivative of 0 + 0*o + 1/120*o**6 - o**2 + g*o**4 - 1/20*o**5 - 1/6*o**3. Factor j(p).
(p - 1)**3
Let r(z) = 2*z**5 + 2*z**4 + 2. Let g(d) = 2*d**5 + 2*d**4 + 3. Let h be ((-5)/10 - -2)*2. Let o(x) = h*r(x) - 2*g(x). Factor o(c).
2*c**4*(c + 1)
Let f(u) be the third derivative of u**6/360 + u**5/27 - 7*u**4/216 - u**2 + 5. Find h such that f(h) = 0.
-7, 0, 1/3
Let k(p) be the first derivative of -15*p**5 + 285*p**4/16 + 87*p**3/2 + 51*p**2/2 + 6*p + 29. Let k(r) = 0. Calculate r.
-2/5, -1/4, 2
Let v = 292 + -292. Let k(y) = -18*y + 2. Let t be k(v). Solve 0 + 0*i - 12*i**t - 18*i**3 - 3/2*i**5 - 9*i**4 = 0.
-2, 0
Factor 5*z**2 + 0*z**2 - 2*z**2 - 43*z + 27 + 13*z.
3*(z - 9)*(z - 1)
Let x = 2792 + -19541/7. Solve -9/7*l**5 - 24/7*l**4 + x*l + 0 + 0*l**2 - 18/7*l**3 = 0 for l.
-1, 0, 1/3
Suppose -4*z = 2*m - 176, 2*m - 5*m + 5*z + 209 = 0. Let o = m - 39. Factor 41*y - y**2 - 70*y + 12 + 3*y**2 + o*y.
2*(y + 2)*(y + 3)
Let a(f) be the first derivative of -f**3/3 + 2*f**2 + 14*f - 11. Let h be a(6). Factor -1 - h*r - 5/4*r**2 - 1/4*r**3.
-(r + 1)*(r + 2)**2/4
Let t be (-238)/17 + 26 - 9. Factor 0*h**2 + 16/11*h + 0*h**4 - 8/11*h**t + 0 + 1/11*h**5.
h*(h - 2)**2*(h + 2)**2/11
Let y(t) be the second derivative of -9*t - 1/21*t**3 + 0 + 0*t**2 - 1/42*t**4. Suppose y(m) = 0. What is m?
-1, 0
Let y be ((-2)/(-8))/(4/(-16)). Let m(w) = -4*w**3 - 24*w**2 + 72*w - 8. Let q(c) = c**3 - c**2 - c + 1. Let h(l) = y*m(l) - 8*q(l). What is f in h(f) = 0?
0, 4
Let i = -2 - -2. Let m be 2/(-4)*78/(-13). Factor 0*l**3 + 3 + m*l - 3*l**3 + 0*l - 3*l**2 + i.
-3*(l - 1)*(l + 1)**2
Let x(o) = -30*o**4 - 110*o**3 - 54*o**2 + 126*o + 100. Let q(s) = -6*s**4 - 22*s**3 - 11*s**2 + 25*s + 20. Let v(t) = 16*q(t) - 3*x(t). What is y in v(y) = 0?
-2, -5/3, -1, 1
Let k = -3846 + 19234/5. Determine t so that 4/5*t**4 - 4/5*t**2 - 3/5*t**3 + 0 + k*t - 1/5*t**5 = 0.
-1, 0, 1, 2
Suppose 0 = -2*l + l + 11. Let t(c) = 3*c**4 - 4*c**3. Let j(y) = -16*y**4 + 20*y**3. Let k(z) = l*t(z) + 2*j(z). Determine b so that k(b) = 0.
0, 4
Let z(l) be the third derivative of -11*l**7/210 - 3*l**6/4 - 181*l**5/60 - 5*l**4/4 - 856*l**2. Suppose z(y) = 0. What is y?
-5, -3, -2/11, 0
Let -23*c**2 - 7*c**3 + 35*c + 7*c + 11*c + 11*c + 20 = 0. Calculate c.
-5, -2/7, 2
Let i(d) be the first derivative of 45/2*d**4 + 16*d**6 + 13/2*d**3 + 37 + 0*d + 3/4*d**2 + 168/5*d**5. Factor i(r).
3*r*(r + 1)*(4*r + 1)**3/2
Let a(v) be the second derivative of -v**6/210 + v**5/35 - v**4/21 + 77*v. Factor a(f).
-f**2*(f - 2)**2/7
Let o(b) be the second derivative of b**7/21 + 14*b**6/15 + 22*b**5/5 + 20*b**4/3 + 63*b. Find h, given that o(h) = 0.
-10, -2, 0
Let n be (-11)/(-6) + (-3)/(-18). Factor -2*q - 21*q**3 + 6*q**3 + 2*q**n + 6*q**3 + 11*q**3 - 2.
2*(q - 1)*(q + 1)**2
Let i = 109 - 106. Let n be i - (1 - (-1 - 1)). Find z such that n - 6/5*z + 2/5*z**2 = 0.
0, 3
Let g = 7211/5 - 1442. Factor 0 - g*o**3 - 3/5*o**2 - 2/5*o.
-o*(o + 1)*(o + 2)/5
Let d(j) be the second derivative of -j**5/25 - 4*j**4/15 - 2*j**3/5 - 2*j + 169. Factor d(v).
-4*v*(v + 1)*(v + 3)/5
Let d(v) be the first derivative of -6/5*v**4 - 4/25*v**5 - 16/5*v**3 + 41 - 16/5*v**2 + 0*v. Determine z, given that d(z) = 0.
-2, 0
Let t be (1 - 2)*1 - -1. Let r(z) be the first derivative of t*z - 1/5*z**2 + 1 - 2/5*z**3. Factor r(k).
-2*k*(3*k + 1)/5
Let v = -4368 + 4371. Let l = -1 - -1. Factor 2/3*p**v - 4/3*p**2 + l + 2/3*p.
2*p*(p - 1)**2/3
Factor 790 - 3*c**2 - 988 - 197*c - 4*c.
-3*(c + 1)*(c + 66)
Let a(o) = -o**2 - 5*o - 4. Let s(g) = g**2 + 4*g + 3. Let p(z) = 4*a(z) + 5*s(z). Determine x so that p(x) = 0.
-1, 1
Let o be (-1)/5 - 138/(-15). Suppose -s - 5 = -o. Determine r, given that r**5 - 4*r**2 + r**3 + 6*r**2 - 2*r**5 - 2*r**s = 0.
-2, -1, 0, 1
Let s(a) be the third derivative of -1/39*a**3 + 1/390*a**5 + 8*a**2 + 0*a + 0 + 0*a**4. Find t such that s(t) = 0.
-1, 1
Let d = -4 - -2. Let v be -6*d*(-4)/(-24). Factor -3*f**2 + 3*f**2 + 2*f**3 + 4*f**v - 2*f**4.
-2*f**2*(f - 2)*(f + 1)
Let p = -254 + 251. Let y be 40/12*(-9)/(-5) + p. Find n, given that 90/13*n**2 + 56/13*n**y + 8/13 - 56/13*n - 98/13*n**4 = 0.
-1, 2/7, 1
Find f, given that 1/2*f + f**3 + 0 - 5/4*f**2 - 1/4*f**4 = 0.
0, 1, 2
Factor 2/5*z + 0 - 1/5*z**2 - 1/5*z**3.
-z*(z - 1)*(z + 2)/5
Let k(g) = g + 11. Let y be k(-6). Suppose -n + y*v = -4*n + 11, -5*n = 2*v - 12. Determine u, given that -4*u + 6*u + u - 6*u**n + 3*u**3 = 0.
0, 1
Let g = 22679/2 - 11333. Factor -169/4 + g*m - 1/4*m**2.
-(m - 13)**2/4
Let a(n) be the first derivative of 1/57*n**6 - 5/19*n**2 + 14 - 8/95*n**5 + 4/19*n + 4/57*n**3 + 2/19*n**4. Suppose a(o) = 0. Calculate o.
-1, 1, 2
Factor -681*t**2 - 1199*t**2 + 57*t**4 - 113*t**4 - 400*t - 364*t**3 + 38*t**4.
-2*t*(t + 10)**2*(9*t + 2)
Let f(d) be the first derivative of -d**7/1260 + d**6/270 + d**5/180 - d**4/18 - 28*d**3/3 + 4. Let i(p) be the third derivative of f(p). Factor i(y).
-2*(y - 2)*(y - 1)*(y + 1)/3
Let w(i) = -3*i**2 - 22*i - 100. Let r(n) = 10*n**2 + 67*n + 300. Let f be (-2)/9 + 56/9. Let g(u) = f*r(u) + 21*w(u). Determine k, given that g(k) = 0.
-10
Let n = 85 - 79. Suppose 5*m - 12*m = -n*m. Let -18/5*r**2 + m - 48/5*r**3 - 32/5*r**4 - 2/5*r = 0. What is r?
-1, -1/4, 0
Solve 6/5*j**2 - 1/5*j**3 + 1/5*j - 6 = 0.
-2, 3, 5
Let v = -4094 - -4099. Factor -25/6*y**v - 109/6*y**3 + 0 + 26*y**2 - 65/3*y**4 - 6*y.
-y*(y + 3)**2*(5*y - 2)**2/6
Let v be (7 - (-950)/(-140))*16/9. Let f(u) be the third derivative of 1/420*u**5 - 5*u**2 - 1/21*u**4 + v*u**3 + 0*u + 0. Suppose f(w) = 0. Calculate w.
4
Find t such that 13*t**2 + 2*t**5 + t**3 - 3*t**2 + t**3 + 4*t**3 - 10*t**4 - 8*t = 0.
-1, 0, 1, 4
Let s(u) be the first derivative of 12*u**5/5 + 11*u**4 + 8*u**3/3 - 32*u**