culate y.
-2, -1/4, 0, 1/3
Let p = -2/13551 - -27112/67755. Solve -32/5*t - 24/5 - p*t**3 - 14/5*t**2 = 0.
-3, -2
Suppose 67*g = 65*g. Let b = -755/6 + 126. Let b*c**3 + 1/3*c**2 + 1/6*c + g = 0. Calculate c.
-1, 0
Let d(n) be the first derivative of 0*n**2 + 0*n - 2 - 1/22*n**4 + 2/11*n**3. Factor d(x).
-2*x**2*(x - 3)/11
Let x(l) be the third derivative of l**8/84 - 134*l**7/105 - 34*l**6/15 + 52*l**2. Factor x(h).
4*h**3*(h - 68)*(h + 1)
Let a be 8/(-10)*(-15)/6. Factor -8*b + 8*b - a*b**2 - b**2.
-3*b**2
Let w(p) be the first derivative of -p**4/3 - 8*p**3/9 + 2*p**2/3 + 8*p/3 + 416. Find o, given that w(o) = 0.
-2, -1, 1
Find m such that -16*m**4 + m**4 - 25*m**2 - 6*m**5 + 11*m**5 - 45*m**3 = 0.
-1, 0, 5
Let f = -37 + 12. Let g be (-2)/(-5) + (-40)/f. Suppose 4*u + 1 + 2*u**3 - 2*u - 4*u + g*u**2 - 3 = 0. What is u?
-1, 1
Let v = -136 - -138. Let i = -40 + 44. Factor 0 - 1/5*l**i + 2/5*l + 3/5*l**v + 0*l**3.
-l*(l - 2)*(l + 1)**2/5
Let t(d) be the third derivative of -d**9/52920 - d**8/23520 + d**4/8 - 5*d**2. Let j(v) be the second derivative of t(v). Let j(z) = 0. Calculate z.
-1, 0
Suppose -3/2*y**3 + 0 - 5/6*y**4 - 1/6*y**5 - 1/3*y - 7/6*y**2 = 0. Calculate y.
-2, -1, 0
Let i(d) = 4*d**4 + 9*d**3 - 21*d**2 + 11*d. Let q(x) = -3*x**4 - 8*x**3 + 19*x**2 - 10*x. Let u(f) = -2*i(f) - 3*q(f). Factor u(a).
a*(a - 1)**2*(a + 8)
Let q(i) be the first derivative of 2 + 0*i**2 - 32/5*i**5 + 0*i - 4/3*i**3 - 11/2*i**4 - 7/3*i**6. Factor q(p).
-2*p**2*(p + 1)**2*(7*p + 2)
Let a(y) be the third derivative of 0 + 7*y**2 + 1/54*y**3 + 0*y + 1/1080*y**6 - 1/540*y**5 - 1/216*y**4. Solve a(g) = 0 for g.
-1, 1
Suppose -2*i - 4*w = -72, -3*i + 63 = -i + w. Let z = -8 + i. Factor 3*s + 3*s**2 - 22 + z.
3*s*(s + 1)
Let f(c) be the second derivative of -1/6*c**4 + 4*c + 0 + 3*c**2 + 2/3*c**3. What is b in f(b) = 0?
-1, 3
Suppose 5*i + 19 - 34 = 0. Suppose 4*s - 3*u - 8 = 0, 4*s - 8 = 4*u - i*u. Find g, given that 0*g + 0 + 2/7*g**4 - 4/7*g**5 - 2/7*g**s + 4/7*g**3 = 0.
-1, 0, 1/2, 1
Let p(z) = 2*z - 8. Let g be p(5). Suppose 4*m = g + 6. Factor 11*w**2 - 3*w - 14*w**2 + 6*w**m.
3*w*(w - 1)
Let u(i) = -2*i + 3. Let h be u(-4). Factor -6*x**3 + h*x + 6*x**5 - 3*x**5 - 8*x.
3*x*(x - 1)**2*(x + 1)**2
Let g(l) be the second derivative of 0 - 7/27*l**3 + 49/18*l**2 + 1/108*l**4 + 20*l. Factor g(k).
(k - 7)**2/9
Let s(j) be the first derivative of 5*j**3/8 + 57*j**2/16 - 3*j/2 + 19. Factor s(w).
3*(w + 4)*(5*w - 1)/8
Factor 168*v - 160 + 5*v**2 - 9*v**2 + 44*v - 48*v.
-4*(v - 40)*(v - 1)
Let u(a) be the first derivative of -3*a**4/4 + 7*a**3 + 12*a**2 + 136. Factor u(h).
-3*h*(h - 8)*(h + 1)
Suppose -4*b - 20 = -9*b. Let s = -23269 - -162895/7. What is k in -8/7*k**3 + 2/7*k**b - 8/7*k + 2/7 + s*k**2 = 0?
1
Let j(o) = 6*o**2 - 12*o - 33. Let s(x) = 5*x**2 - 11*x - 32. Let u(n) = -2*j(n) + 3*s(n). Find r such that u(r) = 0.
-2, 5
Let k(n) = -36*n**4 - 64*n**3 - 28*n**2 + 8. Let z be ((-14)/(-6))/7*3. Let r(a) = a**2 + a - 1. Let l(w) = z*k(w) + 8*r(w). Let l(p) = 0. What is p?
-1, 0, 2/9
Factor 16/7*w**3 + 4/7*w**4 + 0 - 2/7*w**5 + 0*w + 0*w**2.
-2*w**3*(w - 4)*(w + 2)/7
Suppose 4*t - 44 + 42 = -5*c, -8 = -2*t + c. Find v such that 9/2*v**3 + 21/2*v - t - 12*v**2 = 0.
2/3, 1
Let m(f) be the second derivative of f**5/4 - 5*f**4/6 - 5*f**3/6 + 5*f**2 - f + 2. Suppose m(s) = 0. Calculate s.
-1, 1, 2
Find n such that 0 - 67/2*n + 1/2*n**2 = 0.
0, 67
Factor -780*l + 63*l**2 + 180 - 20*l**3 + 269*l**2 - 87*l**2.
-5*(l - 6)**2*(4*l - 1)
Let h(o) be the first derivative of -o**6/16 + 27*o**4/32 + o**3/2 - 9*o**2/4 + 494. Let h(u) = 0. Calculate u.
-2, 0, 1, 3
Let y = 54/49 - 221/245. Factor 0*f**3 - 2/5*f**2 + y*f**4 + 1/5 + 0*f.
(f - 1)**2*(f + 1)**2/5
Let d(h) be the first derivative of -h**4/3 - 10*h**3/3 - 8*h**2 + 17*h - 44. Let f(p) be the first derivative of d(p). Factor f(z).
-4*(z + 1)*(z + 4)
Let j be (-1)/8 + (-18 - 185/(-8)). Let -14/9*q**j - 32/9*q + 8/9 + 2/9*q**2 + 46/9*q**3 - 10/9*q**4 = 0. What is q?
-2, -1, 2/7, 1
Let h(d) be the first derivative of -d**3 + 111*d**2/2 - 5. Factor h(n).
-3*n*(n - 37)
Let l be 2/(4/26)*9/(-2). Let z = l + 59. Suppose -11/8*v**2 + 7/8*v**4 - 3/2*v**3 + z + 3/2*v = 0. What is v?
-1, -2/7, 1, 2
Let a(v) be the first derivative of -v**5/2 - 17*v**4/2 + 14*v**3/3 - 246. Factor a(q).
-q**2*(q + 14)*(5*q - 2)/2
Let z(c) be the third derivative of -9*c**2 + 1/240*c**7 - 37/960*c**6 + 0*c**3 - 1/16*c**4 + 0*c + 13/120*c**5 + 0. Factor z(g).
g*(g - 3)*(g - 2)*(7*g - 2)/8
Let m(u) be the third derivative of 0 + 3*u**2 + 2/33*u**3 + 0*u + 1/44*u**4 + 0*u**5 - 1/660*u**6. Factor m(r).
-2*(r - 2)*(r + 1)**2/11
Let k(b) be the second derivative of b**6/50 - 147*b**5/100 - 5*b**4/2 - 567*b. Factor k(d).
3*d**2*(d - 50)*(d + 1)/5
Let k(a) = -a**2 - 1. Let l(n) = 3*n**2 + 4*n + 1. Let b(v) = -k(v) - l(v). Factor b(u).
-2*u*(u + 2)
Find j such that 4*j**3 - 4*j + 3/2*j**4 + 3/2 - 3*j**2 = 0.
-3, -1, 1/3, 1
Let a be 70/9 + (-8)/(-180)*5. Let -7*z**2 - a + 28*z - 28*z**3 - 3*z**2 + 18*z**2 = 0. What is z?
-1, 2/7, 1
Let b(z) be the third derivative of 10*z**2 + 0*z + 2/3*z**4 + 1/15*z**5 + 2*z**3 + 0. Find x, given that b(x) = 0.
-3, -1
Let i(h) = -2*h**2 - 1. Let g(m) = -5*m**2 + m - 3. Let v = -36 - -39. Let s(b) = v*g(b) - 7*i(b). Factor s(p).
-(p - 2)*(p - 1)
Suppose -k + 0*d = 4*d - 4, 0 = 4*d. Determine g, given that 2*g**2 + 2*g**3 + 7*g**2 - g - g - k - 5*g**2 = 0.
-2, -1, 1
Let i(v) be the first derivative of v**3/6 + 2*v**2 - 24*v + 408. Determine b so that i(b) = 0.
-12, 4
Let o be 18*(64/276)/(-8). Let l = o + 106/115. Determine u so that -l*u**4 - 2/5 - 8/5*u - 12/5*u**2 - 8/5*u**3 = 0.
-1
Let f(t) = -t**3 + 5*t**2 - 13*t + 9. Let o(s) = s + 5. Let j be o(1). Let q(b) = b**3 - 1. Let l(a) = j*q(a) + 3*f(a). Factor l(x).
3*(x - 1)**2*(x + 7)
Let k(d) = -2*d**3 - 20*d**2 - 49*d + 491. Let o(b) = 2*b**3 + 22*b**2 + 50*b - 490. Let y(z) = 4*k(z) + 5*o(z). Factor y(c).
2*(c - 3)*(c + 9)**2
Let h(u) = -6*u**4 + 17*u**3 + 7*u**2 - 16*u + 3. Let m(j) = -j**4 - 2*j**3 - j**2 + 1. Let q(s) = -2*h(s) + 6*m(s). Factor q(g).
2*g*(g - 8)*(g + 1)*(3*g - 2)
Suppose -2*z - 8 = -4*z. Let v(n) be the second derivative of -1/7*n**2 - 1/42*n**3 + 1/42*n**4 - z*n + 0 + 1/140*n**5. Factor v(m).
(m - 1)*(m + 1)*(m + 2)/7
Let h(q) = 12*q**2 - 4*q - 3. Let z(v) = -60*v**2 + 20*v + 16. Suppose 2*r - r - 4 = 3*c, -5*c = 5*r - 100. Let w(a) = r*h(a) + 3*z(a). Solve w(p) = 0.
0, 1/3
Let z(d) = 48*d + 578. Let s be z(-12). Solve 2*b**s - 1/2*b + 2*b**4 - 1/2*b**5 + 0 - 3*b**3 = 0 for b.
0, 1
Let m(q) be the first derivative of -2*q**3/9 + 13*q**2/3 - 20*q - 688. Factor m(k).
-2*(k - 10)*(k - 3)/3
Suppose -1/2 - 1/6*j**4 - 2*j**2 - j**3 - 5/3*j = 0. What is j?
-3, -1
Let o be (-586)/600 - (-12 + 4 + 7). Let w(t) be the third derivative of o*t**6 + 0*t**3 + 0 + 0*t - 1/30*t**4 + 2*t**2 - 1/30*t**5. Factor w(j).
2*j*(j - 1)*(7*j + 2)/5
Let g(f) be the second derivative of -7*f**4/4 - 139*f**3 + 120*f**2 - 33*f + 3. Find z, given that g(z) = 0.
-40, 2/7
Let n be (-7106)/(-23940) + (-3)/((-42)/(-4)). Let r(z) be the third derivative of n*z**5 + 0*z + 0 + 1/36*z**4 + 3*z**2 - 1/9*z**3 - 1/180*z**6. Factor r(c).
-2*(c - 1)**2*(c + 1)/3
Let n(f) be the first derivative of f**5/20 + 11*f**4/16 + 13*f**3/6 + 2*f**2 + 126. Suppose n(s) = 0. What is s?
-8, -2, -1, 0
Let y be 229 - (2 - 5)*-1. Suppose 7*v = 5*v + y. Factor 111*d**3 + 5*d**2 + 2*d - 4 - d**2 - v*d**3.
-2*(d - 2)*(d - 1)*(d + 1)
Suppose 6*a = 3*a + 2*l - 8, -2*a = -l + 4. Suppose -r + 14 = 3*k, -5*r - 6 = -4*k - a. Factor 6*z**2 - 4*z**r + z + 0*z - 2 - z**3.
-(z - 2)*(z - 1)*(z + 1)
Let a be -62*(-3 - 2)/10. Factor -x**4 + 20*x - x**3 - 28*x**2 - 17*x**2 - 4*x**4 + a*x**3.
-5*x*(x - 4)*(x - 1)**2
Let l(d) be the second derivative of d**4/90 - 38*d**3/45 + 111*d - 3. Factor l(m).
2*m*(m - 38)/15
Let s(b) be the third derivative of 0*b**4 + 0*b**3 - 1/2*b**7 - 1/3*b**5 + 0*b + 15/112*b**8 + 0 + 2/3*b**6 - 13*b**2. Determine w, given that s(w) = 0.
0, 2/3, 1
Let i = 0 + -1. Let m be -3 - -8*(i + 2). Factor -3*b**3 - m*b + 3 - 2*b + 4*b - 3*b**2 + 6*b.
-3*(b - 1)*(b + 1)**2
Factor -2386*j + 30*j**2 + 2334*j + 10*j**2 - 96 - 4*j**3.
-4*(j - 8)*(j - 3)*(j + 1)
Let d = 138 - 211. Let q = -211/3 - d. Find x, gi