-b*(b - 1)**4/3
Let f = 105 - -88. Factor -94*x**2 - 576 + f*x**2 - 103*x**2 + 96*x.
-4*(x - 12)**2
Let s(n) be the second derivative of 1/15*n**6 - 1/2*n**4 + 0*n**2 + 0 + 42*n + 0*n**5 + 2/3*n**3. Factor s(r).
2*r*(r - 1)**2*(r + 2)
Let n be ((-172)/6)/(-2) - 3/9. Suppose -4*s + 4*y + n = -6, -2*y + 4 = 5*s. Factor 24/7*m - 10/7*m**s - 8/7.
-2*(m - 2)*(5*m - 2)/7
Let b(m) = -3 - 29*m**2 - 3*m + 48 + m**3 - 12*m**2 + 27*m**2. Let u be b(14). Factor 0 + 27/4*v + 9/4*v**2 - 15/4*v**u + 3/4*v**4.
3*v*(v - 3)**2*(v + 1)/4
Suppose -4*u - 19 - 13 = 0. Let f be (-36)/48*u/3. Solve -5*l**2 - l**2 - f*l + l**2 + 4*l**2 - 1 = 0.
-1
Let x be ((-2)/(-186))/(25/705). Let o = 3/31 + x. Suppose 0 + 2/5*f**3 - 2/5*f**4 - o*f + 2/5*f**2 = 0. What is f?
-1, 0, 1
Let q(c) = -3*c + 1. Let k be q(1). Let n(r) = 2*r**2 + 5*r + 3. Let b(t) = t**2 + 2*t + 1. Let m(j) = k*n(j) + 5*b(j). Suppose m(v) = 0. Calculate v.
-1, 1
Let g(a) be the first derivative of 5*a**7/42 - 3*a**5/4 - 5*a**4/6 - 2*a - 15. Let s(j) be the first derivative of g(j). Find c, given that s(c) = 0.
-1, 0, 2
Let 16 + 28*v**2 - 9 - 116*v + 9 = 0. What is v?
1/7, 4
Let d(g) = g**2 + 6*g + 3. Let z be d(-6). Suppose -z*t = -2*t - 2. What is r in 7 + 6*r + 0*r + 2*r**2 - 3 + 0*r**t = 0?
-2, -1
Let o(u) be the second derivative of u**5/20 - u**4/4 - u**3/6 + 3*u**2/2 + 2*u - 3. Factor o(b).
(b - 3)*(b - 1)*(b + 1)
Let l(t) = -15*t - 132. Let p be l(-9). Let r(y) be the second derivative of 0 + 0*y**2 - p*y - 2/9*y**3 + 1/6*y**4 + 1/15*y**5. Find i, given that r(i) = 0.
-2, 0, 1/2
Let g be (150/(-90))/((-200)/288). Factor 3/5*j**2 + 12/5 - g*j.
3*(j - 2)**2/5
Let u(l) = 2*l**3 - 45*l**2 + 75*l - 41. Let t(b) = b**2 + b + 1. Let w(p) = 3*t(p) + u(p). Factor w(f).
2*(f - 19)*(f - 1)**2
Factor -6*i**3 - 202*i**2 - 78*i**2 + 19 - 39*i**3 + 67 + 255*i - 16.
-5*(i - 1)*(i + 7)*(9*i + 2)
Suppose 8*v = -5*p + 3*v, -2*p + 3*v + 15 = 0. Solve 0*z**2 - 1/2*z + 1/2*z**p + 0 = 0 for z.
-1, 0, 1
Let s be 1 - (52/(-30))/(-2). Suppose 0 = 12*x - 375 + 375. Factor x + 0*m - 2/15*m**2 - 4/15*m**3 - s*m**4.
-2*m**2*(m + 1)**2/15
Let v(q) be the first derivative of q**8/504 + q**7/105 + q**6/90 + 5*q**2 + 11. Let i(x) be the second derivative of v(x). Factor i(o).
2*o**3*(o + 1)*(o + 2)/3
Suppose -3*a - 22*a = 0. Let g(x) be the third derivative of 0 + a*x**5 + 0*x + x**3 - x**2 - 1/40*x**6 + 3/8*x**4. Factor g(d).
-3*(d - 2)*(d + 1)**2
Let w(f) be the third derivative of f**8/252 - 8*f**7/315 - 7*f**6/90 + 34*f**5/45 + 2*f**4/3 - 16*f**3 - 4*f**2 - 54. Determine l, given that w(l) = 0.
-2, 2, 3
Let i be ((-8320)/234)/(-20)*3/4. Solve 4/3*a**3 + 0*a + 4/3*a**2 + 0 - 4/3*a**5 - i*a**4 = 0 for a.
-1, 0, 1
Suppose w = 5*b - 318, 0*w = -4*b + 5*w + 246. Let h be (-2 - -6 - 0)*48/b. Determine x so that 0 + 0*x - 2/3*x**h + 4/3*x**2 = 0.
0, 2
Let u be (5640/(-224))/(-5) + (-3 - 2). Let x(n) be the second derivative of 0 - 3/14*n**2 - 13*n + 1/7*n**3 - u*n**4. Factor x(w).
-3*(w - 1)**2/7
Let c(d) = d**5 - d**4 + d**2 + d. Let y(z) = -31*z**5 + 55*z**4 + 117*z**3 - 103*z**2 - 166*z - 36. Let x(m) = -2*c(m) + y(m). Solve x(r) = 0.
-1, -3/11, 2
Suppose 2*x + 3 = 9. Suppose -5*q + 2*w + 17 = w, 4*w + 17 = x*q. Factor -4/7*c**q - 6/7*c**4 + 0*c**2 + 40/7*c**5 + 0 + 0*c.
2*c**3*(4*c + 1)*(5*c - 2)/7
Let i(t) be the second derivative of t**5/40 + 25*t**4/6 + 16*t + 12. Solve i(l) = 0.
-100, 0
Suppose -530*i = -4*c - 526*i + 20, 10 = 4*c - 2*i. Factor 3/4*n**4 + 0 - 1/4*n**5 + c*n**2 - 1/2*n**3 + 0*n.
-n**3*(n - 2)*(n - 1)/4
Let q = -23 - -42. What is z in z**5 + 17*z**3 - 1 - q*z**3 - z**4 + z + 2*z**2 + 0*z**2 = 0?
-1, 1
Let f(h) be the third derivative of 2*h**7/105 + 21*h**6/10 + 441*h**5/5 + 3087*h**4/2 - 227*h**2. Let f(m) = 0. Calculate m.
-21, 0
Let a(q) be the second derivative of q**4/30 - q**3/5 - 2*q**2 - 2*q + 10. Factor a(d).
2*(d - 5)*(d + 2)/5
Let w(t) be the third derivative of -t**8/4032 - t**7/252 - t**6/48 - 13*t**5/60 + 15*t**2. Let n(s) be the third derivative of w(s). Factor n(z).
-5*(z + 1)*(z + 3)
Let h(g) = 20*g**4 - 155*g**2 - 75*g**3 + 24*g - 294*g - 104 - 31. Let j(a) = a**4 - a**3 + a**2. Let d(s) = h(s) - 25*j(s). Factor d(t).
-5*(t + 1)*(t + 3)**3
Let m(k) be the third derivative of 3*k**5/10 + k**4/8 - 5*k**3/2 + 38*k**2. Factor m(p).
3*(p + 1)*(6*p - 5)
Let o be 21/(-14) - (-3)/2. Suppose 2*w = m - 2*m + 8, 3*w = 2*m - 2. What is u in -3/2*u**w + 1/2*u**3 + o*u + 2 = 0?
-1, 2
Suppose 3*c = 4*i - 3257 - 755, 4*c = 5*i - 5350. Let y be 4 + 0 - c/8. Solve 18*d + 35*d**2 - 4 + y*d**4 - 441/2*d**3 = 0.
-2/7, 2/7, 1
Let a(k) be the second derivative of k**4/3 - 140*k**3 + 22050*k**2 + 35*k. Factor a(h).
4*(h - 105)**2
Let c = -9 + -21. Let h be 6/(-5)*c/4. Factor -p - 5 + p**3 + h*p**4 + 7 - 8*p**4 - 3*p**2.
(p - 1)**2*(p + 1)*(p + 2)
Let v(p) be the third derivative of p**8/8400 + p**7/1050 + p**6/300 + p**5/150 - p**4/2 - 33*p**2. Let b(x) be the second derivative of v(x). Factor b(f).
4*(f + 1)**3/5
Solve 4/3*w - 2/3*w**4 + 2/3*w**2 - 4/3*w**3 + 0 = 0 for w.
-2, -1, 0, 1
Let l be 4*(2/3 + 3/9). Suppose c - 25 = -l*c. Factor 1/5*v**4 + 0*v + 1/5*v**3 - 1/5*v**c + 0 - 1/5*v**2.
-v**2*(v - 1)**2*(v + 1)/5
Let i(h) be the second derivative of -h**8/33600 - h**7/3150 - h**6/720 - h**5/300 - h**4 - 3*h. Let r(l) be the third derivative of i(l). Factor r(g).
-(g + 1)**2*(g + 2)/5
Let r = -1/47 - -52/235. Let z(n) be the first derivative of -1/6*n**6 - 5/3*n**3 + n**2 - 6 + 3/4*n**4 + 0*n + r*n**5. Let z(o) = 0. What is o?
-2, 0, 1
Let t(h) be the first derivative of 3*h**5/25 + 3*h**4/20 - 2*h**3/5 + 307. Let t(o) = 0. What is o?
-2, 0, 1
Let u(d) be the first derivative of 5*d**3/3 + 5*d**2/2 - 30*d - 91. Factor u(m).
5*(m - 2)*(m + 3)
Factor -18 - 7*g - 12*g + 8*g**2 - 7*g + 8*g.
2*(g - 3)*(4*g + 3)
Let i(c) be the third derivative of -c**8/336 - c**7/168 + c**6/160 + c**5/48 + c**4/96 - 17*c**2 + 2*c. What is b in i(b) = 0?
-1, -1/4, 0, 1
Let v(i) = -8*i**2 + 408*i - 10412. Let n(t) = -7*t**2 + 408*t - 10410. Let r(s) = -4*n(s) + 3*v(s). Solve r(o) = 0.
51
Suppose 54*y**3 + 77*y**3 + 8*y - 130*y**3 + 3*y**2 - 9*y**2 = 0. What is y?
0, 2, 4
Let y(s) = -s**3 - 9*s**2 - 8*s - 2. Suppose z = i - 2 - 5, 4*i - 32 = 5*z. Let c(f) = -f**3 - 17*f**2 - 17*f - 5. Let g(q) = z*c(q) + 10*y(q). Factor g(v).
-2*v*(v + 3)*(3*v + 2)
Suppose -3*x - 5*d - 19 + 46 = 0, 2*d = 6. Let a(u) be the first derivative of 3/4*u**x - 12*u - 5*u**3 + 12*u**2 + 3. Suppose a(j) = 0. Calculate j.
1, 2
Solve 0*k**2 - k**4 - 22*k**2 - 30*k + 3*k**2 + 10*k**3 + 0*k**2 = 0 for k.
-1, 0, 5, 6
Let q = -4754/5 - -952. Solve 0*t + 1/5*t**5 + q*t**4 + 0*t**2 + 0 + 9/5*t**3 = 0.
-3, 0
Let g(p) be the second derivative of -1/8*p**2 + 0 + 5*p - 1/48*p**4 - 1/12*p**3. Suppose g(z) = 0. What is z?
-1
Let s be (27/(-12))/(36/(-96)). Let c(g) be the third derivative of -1/240*g**6 + 1/6*g**3 + 0*g**5 + 0*g - s*g**2 + 0 + 1/16*g**4. Find i, given that c(i) = 0.
-1, 2
Let k = 7 - 4. Let l(v) be the second derivative of 0 + 0*v**2 + 1/24*v**4 - 1/80*v**5 - v + 0*v**k. What is p in l(p) = 0?
0, 2
Let y(f) be the second derivative of -f**4/54 + f**3/3 + 10*f**2/9 - 57*f + 1. Suppose y(b) = 0. Calculate b.
-1, 10
Let u(s) = -3*s**2 - 4*s + 9. Let n(x) = 20*x**2 + 23*x - 56. Let v(z) = 6*n(z) + 39*u(z). Let v(y) = 0. Calculate y.
1, 5
Let d(p) = 4*p**3 + 10*p**2 + p. Let s be d(-3). Let n be ((-20)/s - 0) + 2/(-3). Factor -n*m**2 + 0*m + 0.
-2*m**2/7
Suppose -90 = 2*t + 5*f - f, -5*t + 5*f - 180 = 0. Let v = 41 + t. Factor 12/7*o - 3/7*o**v + 0.
-3*o*(o - 4)/7
Let b(g) be the first derivative of 1/2*g**6 - 3/5*g**5 - 3/2*g**4 + 0*g**3 - 29 + 0*g**2 + 0*g. Determine z so that b(z) = 0.
-1, 0, 2
Let g be (-16)/(-20)*(-20 + 3045/84). What is y in 7/2*y**3 + 13/2*y - g*y**2 + 3 = 0?
-2/7, 1, 3
Determine x so that -249/5*x**2 + 3/5*x + 0 - 252/5*x**3 = 0.
-1, 0, 1/84
Let q(w) be the third derivative of -31*w**7/84 - 91*w**6/48 + 37*w**5/24 + 455*w**4/48 - 5*w**3/2 + 121*w**2. Solve q(g) = 0.
-3, -1, 2/31, 1
Let y(c) = -c**3 + c. Let h(t) = 25*t**3 - 125*t**2 + 145*t - 20. Let w(p) = -h(p) + 5*y(p). Find i, given that w(i) = 0.
1/6, 2
Let t(f) be the third derivative of f**5/120 - f**4/16 + f**3/6 - 100*f**2. Factor t(o).
(o - 2)*(o - 1)/2
Suppose g + 33 = s, s + 2