 = 1 - -1. Suppose h*o - 27 = -o. Suppose -11*n**4 - 5*n**2 - 24*n - 8 - 12*n**3 + o*n**4 - 21*n**2 = 0. Calculate n.
-2, -1
Suppose w = 6*w - 280. Let j = w + -37. Find v such that -j*v - 17*v - 7*v**2 - 12 - 8*v**2 = 0.
-2, -2/5
Let r(w) = -2*w - 14. Let c be r(-7). Let o(v) be the third derivative of -v**2 + 0*v + c + 1/10*v**4 + 3/5*v**3 + 1/150*v**5. Factor o(f).
2*(f + 3)**2/5
Let s be -5*4/(-20) - -1. Suppose 0 = -m + 5, -3*m - 30 = -5*i - 7*m. Factor 17*d**i - 5*d**2 + 3*d**3 - 2*d**s - 4*d**2.
3*d**2*(d + 2)
Let k = 469 + 139. Let j be (k/60)/8 + (-3)/5. Factor -8/3*f - j*f**2 - 2.
-2*(f + 1)*(f + 3)/3
Determine w, given that 24 - 100/3*w - 4*w**2 = 0.
-9, 2/3
Let v(l) = -l + 6. Let q be v(-3). Suppose 4*w = 3*w + q. Determine f, given that -2*f - w*f**3 - 2*f**2 + 3*f**3 + 8*f**2 + 2*f**4 = 0.
0, 1
Let q(y) be the first derivative of -49*y**4/5 + 56*y**3/5 - 18*y**2/5 - 71. Solve q(h) = 0.
0, 3/7
Suppose -12 + 34/3*t**3 - 44/3*t**2 - 42*t + 4*t**4 = 0. Calculate t.
-3, -3/2, -1/3, 2
Let j = -1 - 5. Let r be 2/j*(-8 - -2). Factor -7*v**5 + 8*v**5 - v**4 + 5*v**r + 0*v**2 - 3*v**3 - 4*v**2 + 2*v.
v*(v - 2)*(v - 1)*(v + 1)**2
Let m be 28/(-96) + ((-22)/3)/(-11). Factor -1/8*f**2 - 1/2*f - m.
-(f + 1)*(f + 3)/8
Let h(f) = 3*f**2 + 38*f - 13. Let u be h(-13). Let j(m) be the second derivative of m + u*m**3 + 0 + 1/54*m**4 + 0*m**2. Factor j(c).
2*c**2/9
Let b = 2760 - 2760. Factor 1/3*g**2 + 1/3*g + b.
g*(g + 1)/3
Let k(z) be the third derivative of -z**6/90 - 4*z**5/45 + 8*z**4/9 + 128*z**3/9 + 53*z**2. Factor k(n).
-4*(n - 4)*(n + 4)**2/3
Let t = -32 - -23. Let v(o) = -o**3 - 8*o**2 + 9*o + 2. Let x be v(t). Factor 29*h - 30*h**3 + 7*h**4 - 35*h + 2*h**4 + 27*h**x.
3*h*(h - 2)*(h - 1)*(3*h - 1)
Let b = 461 + -461. Let b - 10/11*k**3 + 16/11*k**2 + 2/11*k**4 - 8/11*k = 0. Calculate k.
0, 1, 2
Suppose -722/11*g + 646/11*g**2 + 74/11*g**3 + 0 + 2/11*g**4 = 0. Calculate g.
-19, 0, 1
Let v = 3/1864 - -16755/13048. Solve -6/7 + 3/7*z**2 + 3/7*z**4 - 9/7*z + v*z**3 = 0.
-2, -1, 1
Let o = -69 - -69. Let c be (1 - (-3)/(-3))/(1 + o). What is t in 0 + 0*t**2 - 1/7*t**3 - 1/7*t**4 + c*t = 0?
-1, 0
Let w be (-1)/3 - 7/(-3). Let z(l) be the first derivative of 224/5*l**w - 1 - 128/5*l - 18/25*l**5 - 488/15*l**3 + 42/5*l**4. Factor z(u).
-2*(u - 4)**2*(3*u - 2)**2/5
Let d(l) be the first derivative of 2*l**3/21 - 5*l**2/7 - 4*l + 53. Factor d(u).
2*(u - 7)*(u + 2)/7
Let b be (0 - -1)/((42/28)/3). Let -2/5*a**3 - 4/5*a**b + 2/5*a + 4/5 = 0. Calculate a.
-2, -1, 1
Let u(v) be the third derivative of 0*v + 1/114*v**4 - 1/570*v**5 - 1/57*v**3 + 0 + 40*v**2. Find w such that u(w) = 0.
1
Let z(l) be the second derivative of -l**6/60 - 4*l**5/75 + l**4/15 + 2*l**2 - 6*l. Let x(c) be the first derivative of z(c). Factor x(t).
-2*t*(t + 2)*(5*t - 2)/5
Let m = 5 + -1. Suppose 5*v - 3*v - 60 = 0. Factor -2*s**4 + m*s**4 + 28*s**3 - v*s**3.
2*s**3*(s - 1)
Let u(g) be the third derivative of g**8/6720 + g**7/1008 - g**6/360 + 19*g**5/60 - 4*g**2. Let r(b) be the third derivative of u(b). Solve r(v) = 0 for v.
-2, 1/3
Let r(c) be the third derivative of -c**6/900 + c**5/300 - 4*c**3/3 - 7*c**2. Let t(h) be the first derivative of r(h). Find f, given that t(f) = 0.
0, 1
Let n(h) be the first derivative of -h**6/7 - 34*h**5/35 - 41*h**4/21 + 4*h**3/63 + 13*h**2/3 + 14*h/3 + 11. Solve n(r) = 0.
-7/3, -1, 1
Suppose -5*i + 140 - 130 = 0. Let o be (-3)/5 - (-136)/160. Factor -1/2*s + 1/4*s**i + o.
(s - 1)**2/4
Let n(f) = -f**3 - 53*f**2 - 120*f - 96. Let z(k) = k**3 + 26*k**2 + 60*k + 48. Let d(x) = -2*n(x) - 5*z(x). Factor d(r).
-3*(r + 2)**2*(r + 4)
Let c(y) be the third derivative of -y**8/1680 - y**7/315 - y**6/180 + 25*y**4/24 - y**2 - 10*y. Let p(f) be the second derivative of c(f). Factor p(d).
-4*d*(d + 1)**2
Determine t, given that 108/7*t - 58/7*t**2 + 2/7*t**3 + 0 = 0.
0, 2, 27
What is i in -5*i**3 - 5/3*i**2 + 5/3*i**5 + 0 + 10/3*i + 5/3*i**4 = 0?
-2, -1, 0, 1
Let j(x) be the third derivative of 5*x**8/1176 + 4*x**7/245 + 3*x**6/140 + x**5/105 - 12*x**2 - 11. Factor j(g).
2*g**2*(g + 1)**2*(5*g + 2)/7
Let j(l) be the third derivative of l**6/120 + 2*l**5/15 + l**3/2 + 2*l**2. Let s be j(-8). Let 5*p**4 + 2*p**3 + 4*p**3 - 2*p**4 + s*p**2 = 0. What is p?
-1, 0
Let l(i) be the first derivative of -5*i**2 - 15*i - 34 + 5/3*i**3. Suppose l(h) = 0. What is h?
-1, 3
Let r = -2145/7 - -307. Let m be (-1 - -2)/(-4 - 23/(-4)). Factor m - r*j**2 + 2/7*j**3 - 2/7*j.
2*(j - 2)*(j - 1)*(j + 1)/7
Let k(x) be the third derivative of 0*x**3 + 0 + 1/385*x**7 + 0*x**5 + 0*x + 0*x**4 - 1/220*x**6 - 19*x**2. Suppose k(z) = 0. Calculate z.
0, 1
Let y**2 - 5*y**2 + 780*y**4 - 8*y**3 + 2*y**3 - 764*y**4 - 6*y**5 = 0. Calculate y.
-1/3, 0, 1, 2
Let i(z) be the second derivative of z**7/18 - 4*z**6/9 - 11*z**5/20 + 67*z**4/18 - 22*z**3/9 - 4*z**2 - 85*z + 3. Find l such that i(l) = 0.
-2, -2/7, 1, 6
Let h(z) be the second derivative of -z**5/70 - 5*z**4/42 - z**3/7 + 9*z**2/7 - 4*z + 1. What is x in h(x) = 0?
-3, 1
Let t(j) be the first derivative of -j**6/72 + 5*j**5/12 - 125*j**4/24 + 2*j**3 + 3. Let q(l) be the third derivative of t(l). Solve q(y) = 0 for y.
5
Let a(t) = 442*t + 6635. Let c be a(-15). Find g such that -4/7*g**4 + 0*g + 0 + 2/7*g**3 + 0*g**2 + 2/7*g**c = 0.
0, 1
Let k be (-2)/9*(-339 + 338). Factor -4/9*m**3 + k*m**5 - 2/9 + 2/9*m + 4/9*m**2 - 2/9*m**4.
2*(m - 1)**3*(m + 1)**2/9
Let g(v) be the first derivative of -2*v**5/35 + 5*v**4/14 - 2*v**3/3 + 3*v**2/7 - 14. Find u, given that g(u) = 0.
0, 1, 3
Let g(t) = t**3 + 8*t**2 - 5*t. Let d = -45 - -39. Let f(o) = o**3 + 9*o**2 - 6*o. Let v(x) = d*f(x) + 7*g(x). Factor v(r).
r*(r + 1)**2
Factor 0*o - 1/10*o**4 + 0 + 3/5*o**2 + 1/2*o**3.
-o**2*(o - 6)*(o + 1)/10
Let t be (-2)/24*-10*6. Let p(x) = -2*x - 12. Let k be p(-8). Factor -5*i**5 - i**4 + k*i**t + 32*i**3 - 31*i**3 + i**2.
-i**2*(i - 1)*(i + 1)**2
Suppose 3*v = 3*d - 12, -v + 2*d = 7*d - 32. Find p, given that 32/5*p - 46/5*p**v + 28/5*p**3 - 6/5*p**4 - 8/5 = 0.
2/3, 1, 2
Suppose 13*b + 19 = 18*b + 2*v, 2*b = -3*v + 12. Determine m, given that 4/3*m**2 + 0 + 0*m - 4/9*m**b = 0.
0, 3
Let i(u) be the first derivative of -u**4/12 + 5*u**3/24 - u**2/8 + 19*u + 2. Let y(b) be the first derivative of i(b). Suppose y(p) = 0. What is p?
1/4, 1
Let j(o) be the third derivative of -289*o**5/30 + 34*o**4/3 - 16*o**3/3 + 165*o**2. Find b such that j(b) = 0.
4/17
Let g be (-78)/270 + (-4)/(-10). Let t(x) be the second derivative of -1/63*x**7 - 4*x + g*x**4 + 0 - 1/9*x**3 - 1/45*x**6 + 1/15*x**5 - 1/3*x**2. Factor t(f).
-2*(f - 1)**2*(f + 1)**3/3
Let o(i) be the third derivative of -i**7/735 - i**6/70 + i**5/210 + i**4/14 + 121*i**2. Factor o(v).
-2*v*(v - 1)*(v + 1)*(v + 6)/7
Factor -396*r**2 - 1022208 - 3/2*r**3 - 34848*r.
-3*(r + 88)**3/2
Let f = -2/133 - -356/5985. Let o(p) be the first derivative of f*p**5 - 1/9*p**4 + 0*p - 1 - 2/27*p**3 + 2/9*p**2. Factor o(i).
2*i*(i - 2)*(i - 1)*(i + 1)/9
Let d(w) = 4*w**2 + 221*w + 57. Let i be d(-55). Factor -1/4 - 1/4*m**i - 1/2*m.
-(m + 1)**2/4
Let u be 20/(-2)*(3/6)/(-1) + -3. Determine p so that -12/7*p + 9/7*p**3 + 0 + 6/7*p**4 - 12/7*p**u - 3/7*p**5 = 0.
-1, 0, 2
Let h(i) be the first derivative of 50/3*i**6 + 16*i**5 - 80/3*i**3 + 0*i + 4 - 21*i**4 - 8*i**2. Suppose h(j) = 0. What is j?
-1, -2/5, 0, 1
Let g(o) be the first derivative of 7*o**5/5 - 55*o**4/12 - 2*o**3/3 + 2*o**2 + 11*o - 22. Let r(m) be the first derivative of g(m). Factor r(x).
(x - 2)*(4*x - 1)*(7*x + 2)
Let x(q) be the third derivative of q**6/840 - 13*q**4/168 - 2*q**3/7 - 3*q**2 + q. Solve x(m) = 0.
-3, -1, 4
Suppose 21*k - 24 = 102. Let i(t) be the third derivative of 0*t**3 + 2/315*t**7 + 1/504*t**8 - 1/36*t**4 + 0*t + 5*t**2 - 1/45*t**5 + 0 + 0*t**k. Factor i(v).
2*v*(v - 1)*(v + 1)**3/3
Let u(c) be the third derivative of c**9/3780 - c**7/210 + c**6/90 - 5*c**4/6 + 15*c**2. Let o(l) be the second derivative of u(l). Factor o(g).
4*g*(g - 1)**2*(g + 2)
Let a(z) be the first derivative of 6*z**5/5 + 21*z**4/16 - 9*z**3/4 - 21*z**2/8 + 3*z/4 + 711. Suppose a(y) = 0. Calculate y.
-1, 1/8, 1
Let u(h) be the first derivative of 3*h**5/10 - 15*h**4/4 - 23*h**3/2 - 9*h**2 - 68. Determine b, given that u(b) = 0.
-1, 0, 12
Let v(u) be the second deriva