-10). Factor 24*x**3 - 11*x - 11*x + 4*x + 14*x**4 - 6*x**3 - y*x**2 - 4.
2*(x - 1)*(x + 1)**2*(7*x + 2)
Let g be (0 - 0)/(2 + 0). Let c(i) be the third derivative of 0 + 4*i**2 - 1/80*i**5 + g*i - 9/8*i**3 + 3/16*i**4. Factor c(a).
-3*(a - 3)**2/4
Suppose 1 = -y - 4*y + 3*m, -5 = -3*y - m. Factor -11*n**2 - 2*n + 1 - y - 2 + 13*n**2 + 2*n**3.
2*(n - 1)*(n + 1)**2
Let d(w) be the third derivative of -4/105*w**7 + 0*w**3 - 4/15*w**5 + 1/6*w**4 + 0*w - w**2 + 0 + 1/6*w**6. Determine k, given that d(k) = 0.
0, 1/2, 1
Let n(c) be the third derivative of c**9/1008 - c**8/280 + c**6/60 - c**5/40 - 4*c**3/3 + 20*c**2. Let s(o) be the first derivative of n(o). Factor s(i).
3*i*(i - 1)**3*(i + 1)
Let z(i) = 5*i**3 - 6*i**2 + 5. Let b(v) = -7*v**3 - 6*v - 5. Let g(w) = -w**3 - w - 1. Let x(u) = b(u) - 6*g(u). Let o(s) = 6*x(s) + 2*z(s). Factor o(k).
4*(k - 2)**2*(k + 1)
Let h(r) = r**2 + 11*r + 26. Let b be h(-8). Let o = -1/142 + 289/710. Factor -2/5 - o*k**b - 4/5*k.
-2*(k + 1)**2/5
Suppose -2*m + 4*z = -4, -6*m + m + 10 = 5*z. Let j(d) be the second derivative of 3/2*d**m + 7/4*d**3 + 5*d + 0 + 9/8*d**4 + 3/8*d**5 + 1/20*d**6. Factor j(c).
3*(c + 1)**3*(c + 2)/2
Suppose 26*d - 38 = 40. Suppose 2 = -7*i + 16. Suppose 0 - 3/5*r - 6/5*r**i + 6/5*r**4 + 0*r**d + 3/5*r**5 = 0. What is r?
-1, 0, 1
Let d(j) be the first derivative of -2*j**5/55 + 19*j**4/22 - 194*j**3/33 + 45*j**2/11 + 324*j/11 + 342. Let d(s) = 0. What is s?
-1, 2, 9
Let g be (1 + -9)/(2/(-4)). Find n, given that 3*n - n**2 - g + 9 + 5 = 0.
1, 2
Determine n so that -104/7*n + 2/7*n**2 + 102/7 = 0.
1, 51
Factor 0*l**2 - 2/11*l**4 - 32/11*l**3 + 0 + 0*l.
-2*l**3*(l + 16)/11
Let w = 17 + -24. Let a(v) = v**3 + 6*v**2 - 9*v - 14. Let y be a(w). Factor 3*z**2 + y*z - 3*z**3 + 3*z**3 - 3*z - 3*z**4 + 3*z**3.
-3*z*(z - 1)**2*(z + 1)
Let o(m) be the third derivative of 0*m - 3/200*m**6 + 1/150*m**7 + 3/40*m**4 - 1/15*m**3 - 1/60*m**5 - 5*m**2 + 0. What is y in o(y) = 0?
-1, 2/7, 1
Let a(p) be the second derivative of 3*p**5/20 + 3*p**4/2 + 5*p**3/2 - 18*p**2 + 2*p - 69. Let a(z) = 0. What is z?
-4, -3, 1
Let j(z) be the second derivative of 49*z**5/90 - 91*z**4/54 + 17*z**3/9 - z**2 + 2*z + 3. Factor j(k).
2*(k - 1)*(7*k - 3)**2/9
Let w(i) = i**3 - i**2 + 1. Let h(y) = 10*y**3 - 7*y**2 - y + 7. Let g(f) = -4*h(f) + 36*w(f). Let g(d) = 0. What is d?
-2, -1, 1
Let v be (-2)/1 + 7 + 1 + 0. Factor -v*n**3 + 15 + 25*n - 2*n**2 + 7*n**2 + n**3.
-5*(n - 3)*(n + 1)**2
Let o(b) be the third derivative of -35*b**2 + 5/36*b**4 + 0*b + 2/9*b**3 - 1/30*b**5 + 0. Factor o(r).
-2*(r - 2)*(3*r + 1)/3
Let z(a) be the third derivative of a**5/150 + a**4/60 - 2*a**3/15 - 5*a**2 - 13*a. Factor z(w).
2*(w - 1)*(w + 2)/5
Let n(v) be the third derivative of 0 - 19/150*v**6 + 8/15*v**3 - 8/15*v**4 - 1/420*v**8 + 12*v**2 + 2/75*v**7 + 1/3*v**5 + 0*v. Solve n(w) = 0 for w.
1, 2
Let u(g) = -4*g**4 + 24*g**3 + 68*g**2 + 36*g + 4. Let s(i) = 4*i**4 - 25*i**3 - 68*i**2 - 36*i - 3. Let k(t) = 4*s(t) + 3*u(t). Factor k(x).
4*x*(x - 9)*(x + 1)**2
Solve 0 - 3/4*u**4 - 3/4*u**2 + 3/2*u**3 + 0*u = 0 for u.
0, 1
Let z be -7 + 2 - (-2156)/343. Factor z + 3/7*c**2 + 12/7*c.
3*(c + 1)*(c + 3)/7
Suppose 7*g = 36 - 1. Factor -34*t**g + 33*t**5 - 3*t**3 + 3*t**4 + t**4.
-t**3*(t - 3)*(t - 1)
Let j be 4/(-8)*-2*6. Determine v so that j*v + v**2 - 2*v**2 + 4*v**2 = 0.
-2, 0
Determine c, given that 0 - 1/4*c**5 + c**4 - 9/4*c - 3*c**2 + 1/2*c**3 = 0.
-1, 0, 3
Let h be (-9)/(-21)*62/279. Let d(f) be the first derivative of -2/7*f + h*f**3 - 1/7*f**2 - 2 + 1/14*f**4. Determine i so that d(i) = 0.
-1, 1
Let a(s) = 3*s + 15. Let k be a(7). Let l be (-4)/18 + (-100)/k + 3. Determine v, given that l + 1/2*v - 1/2*v**3 + 1/2*v**4 - 1/2*v**2 = 0.
-1, 0, 1
Factor 0 + 9/4*w**2 + 15/8*w.
3*w*(6*w + 5)/8
Let x be (-1 - 138) + (11 - 14). Let l = 142 + x. Find b such that l + 1/3*b**2 - b = 0.
0, 3
Let h(m) be the third derivative of -m**8/2016 - m**7/630 - m**6/720 + m**2 - 9*m. Factor h(y).
-y**3*(y + 1)**2/6
Let p = 949/4720 + -4/295. Let q(i) be the first derivative of p*i**4 + 0*i**5 + 8 + 0*i**3 + 0*i + 0*i**2 - 1/8*i**6. Find g, given that q(g) = 0.
-1, 0, 1
Find x such that 351 + 85*x + 0*x**2 + 11*x**3 + 33*x**2 + 37*x**2 + 4*x**3 - 321 = 0.
-3, -1, -2/3
Let d(v) be the third derivative of -v**6/24 - 5*v**5/12 + 182*v**2. Factor d(l).
-5*l**2*(l + 5)
Let a(b) be the second derivative of b**7/1400 - b**5/200 - b**3/6 - 3*b. Let u(t) be the second derivative of a(t). Let u(g) = 0. Calculate g.
-1, 0, 1
Let p(r) be the second derivative of r**6/45 + r**5/5 + 11*r**4/18 + 2*r**3/3 - 4*r + 2. Find m such that p(m) = 0.
-3, -2, -1, 0
Suppose 109 - 107 = w. Factor 8/7 + 4/7*q**w - 12/7*q.
4*(q - 2)*(q - 1)/7
Let g be (-1 - 13/(-12))*2. Let v = -1/42 + g. Solve -v + 1/7*m**3 - 3/7*m**2 + 3/7*m = 0 for m.
1
What is d in 4/5 + 27/5*d - 7/5*d**2 = 0?
-1/7, 4
Suppose -4*w = -3*q - 34, 5*w + 3*q - 37 - 19 = 0. Suppose f - 5 = -2*t - 0, -t + w = 2*f. Factor k + 1 - 4*k**3 + 4*k**2 + 3*k**3 - f*k**2.
-(k - 1)*(k + 1)**2
Let w(k) = -24*k**3 + k**2 + k. Let m be w(-1). Let x be (-6)/9 + m/9. Factor 3*v**x + 4*v + 2*v + 6*v**2.
3*v*(3*v + 2)
Let w(t) be the third derivative of 0 - 1/70*t**7 + 0*t - 1/4*t**5 + 1/10*t**6 + 1/4*t**4 - 6*t**2 + 0*t**3. Find b such that w(b) = 0.
0, 1, 2
Suppose 12 = 3*p - p. Let z be -1 + p - 4/4. Factor -m**3 - 2*m**3 + 4*m**3 + z + 6*m - 3*m**3.
-2*(m - 2)*(m + 1)**2
Let f(t) be the second derivative of 0 - 2*t**2 + 10*t - 1/2*t**4 - 5/3*t**3. Factor f(c).
-2*(c + 1)*(3*c + 2)
Let v(w) = -w**3 - 74*w**2 - 330*w + 78. Let b be v(-5). Factor 0 - 2/3*d**2 + 2/9*d**b + 4/9*d.
2*d*(d - 2)*(d - 1)/9
Let b(r) be the second derivative of r**4/4 - 143*r**3/9 - 32*r**2/3 - 22*r. Factor b(z).
(z - 32)*(9*z + 2)/3
Let o(j) be the first derivative of -11*j**3 - 3/2*j**2 - 105/4*j**4 - 28 - 15*j**5 + 0*j. Factor o(b).
-3*b*(b + 1)*(5*b + 1)**2
Let -60*a**3 - 28*a**2 + 80*a**4 - 4*a**5 + 54*a**4 - 170*a**4 = 0. What is a?
-7, -1, 0
Let w(p) = -p**3 - 21*p**2 + 12*p - 220. Let g be w(-22). Factor 5/4*m**3 - 5/4*m**2 - 5/2*m + g.
5*m*(m - 2)*(m + 1)/4
Solve -244*v**2 - 3840*v - 4*v**3 - 2571 - 2013 + 984 = 0.
-30, -1
Suppose -5*r - 3*q - 18 = 0, 4*r + q + 8 = -5. Let g be -5 - -1 - (-7 - r). Factor 0*f**3 + 2/13*f**2 + g - 2/13*f**4 + 0*f.
-2*f**2*(f - 1)*(f + 1)/13
Let b(p) = -15*p**5 - 34*p**4 + 29*p**3 + 2. Let r(x) = -15*x**5 - 33*x**4 + 30*x**3 + 3. Let m(a) = -3*b(a) + 2*r(a). Suppose m(h) = 0. Calculate h.
-3, 0, 3/5
Let r(l) be the first derivative of -l**3/15 + 10*l**2 - 500*l + 127. Determine i so that r(i) = 0.
50
Let j(k) be the first derivative of -k**3/15 - 19*k**2/5 - 361*k/5 + 2. Find r, given that j(r) = 0.
-19
Let i(u) = u**2 + 12*u + 29. Let c be i(-10). Let g be (95/(-228))/((-5)/c). Factor 0*j**2 + 1/4*j**3 - 1/2 - g*j.
(j - 2)*(j + 1)**2/4
Let w(q) be the third derivative of -1/8*q**4 - 39*q**2 + 1/10*q**5 + 0*q**3 + 0 + 0*q - 1/40*q**6. Factor w(g).
-3*g*(g - 1)**2
Let x be (-1)/12 + 4/(-6 + 18). Let r(t) be the first derivative of 0*t + 0*t**2 - 4 + x*t**4 + 0*t**3. Determine f so that r(f) = 0.
0
Let u(q) be the first derivative of -q**5/5 + 7*q**4/4 + 23*q**3 + 113*q**2/2 + 52*q + 858. Find x such that u(x) = 0.
-4, -1, 13
Let b(d) = 6*d**3 + 7 + 43*d - 19*d**2 - 34 + 3*d**3. Let j(t) = 8*t**3 - 20*t**2 + 44*t - 28. Let a(w) = 4*b(w) - 5*j(w). Let a(v) = 0. Calculate v.
2
Let x(i) be the third derivative of -5*i**8/336 + 4*i**7/21 - 2*i**6/3 + 146*i**2. Solve x(f) = 0.
0, 4
Find y such that 3*y**4 - 6/5*y**2 - 9/5 + 18/5*y**3 - 21/5*y + 3/5*y**5 = 0.
-3, -1, 1
Find h such that 5/9*h**2 + 47/9*h - 4/9*h**3 - 4/3 = 0.
-3, 1/4, 4
Let k(j) = j**3 - 2*j**2 - 12*j + 27. Let y be k(3). Find v such that y + 8/7*v + 6*v**3 + 48/7*v**2 - 14*v**4 = 0.
-2/7, 0, 1
Suppose 2*q = -2*b, 4*b - 16 + 40 = 2*q. Let g(f) = 40*f**2 + 33*f - 7. Let v(u) = 20*u**2 + 16*u - 4. Let j(y) = b*g(y) + 9*v(y). Suppose j(x) = 0. What is x?
-1, 2/5
Let v(a) = -8*a**4 - 45*a**3 - 64*a**2 - 24*a - 2. Let y(c) = -9*c**4 - 48*c**3 - 63*c**2 - 24*c - 3. Let k(p) = 3*v(p) - 2*y(p). Let k(d) = 0. Calculate d.
-4, -2, -1/2, 0
Solve -5/2*s**2 - 1/6*s**3 - 12*s - 18 = 0 for s.
-6, -3
Factor -1408 - 2721 + 22*k**2 - 306*k - 3955 + 281 - 25*k**2.
-3*(k + 51)**2
Wh