. Let x be (5 + i/1)/2. Factor 1/3*l**2 + 1/3*l**3 + x - 2/3*l.
l*(l - 1)*(l + 2)/3
Let f = 32 + -28. Factor -f*l + 5*l**5 - 6*l**2 + l**4 - 3*l**5 + 5*l**4 - l**3 + 3*l**3.
2*l*(l - 1)*(l + 1)**2*(l + 2)
Let z(w) = -4*w**2 - 15*w + 3. Let y be z(-4). Let p be (-5 + 5)/y + (-7)/(-4). Suppose p*m - 3/2*m**2 - 1/2 + 2*m**4 - m**3 - 3/4*m**5 = 0. Calculate m.
-1, 2/3, 1
Let n(t) be the third derivative of -t**8/168 + t**7/105 + t**6/20 - t**5/6 + t**4/6 + 132*t**2. Factor n(p).
-2*p*(p - 1)**3*(p + 2)
Let z be -10*(-9)/(-126) + (-57)/(-21). Factor -45/2*d**3 + 5/2*d**4 - 195/2*d + 45 + 145/2*d**z.
5*(d - 3)**2*(d - 2)*(d - 1)/2
Let m = 8063/10110 + 5/2022. What is h in -8/5*h**4 - 2/5*h**5 - 8/5*h**3 + 2*h + m + 4/5*h**2 = 0?
-2, -1, 1
Suppose 10*r - 9*r - 25*r = 0. Factor 2/7*j**3 + r*j + 0 + 0*j**2.
2*j**3/7
Solve -8/15*q - 8/5 + 2/15*q**2 = 0 for q.
-2, 6
Suppose 5*o = -76*o + 81. Determine w, given that -1/4*w**2 + 1/4*w**4 - 1/4*w**5 - o + 5/4*w**3 - 2*w = 0.
-1, 2
Let q(o) = 2*o - 2. Let n be q(2). Factor 4*y - y + 1 + 2*y**2 + y**n + y.
(y + 1)*(3*y + 1)
Suppose 15 = -5*d - 5*t + 60, 5*d = -2*t + 30. Suppose -3*m + 6 - 16*m**4 + 19*m**d - 8*m**2 + 3*m**3 - m**2 = 0. Calculate m.
-2, -1, 1
Find v, given that 100/3 - 46/3*v - 2/3*v**2 = 0.
-25, 2
Let k = -125 - -810/7. Let h = k + 202/21. Find u such that h*u + 1/6*u**2 + 1/6 = 0.
-1
Let q(o) be the third derivative of -o**5/100 + 5*o**4/2 - 250*o**3 - 62*o**2 + 2*o. Factor q(a).
-3*(a - 50)**2/5
Let g(l) be the second derivative of -l**4/12 - l**3 - 5*l**2/2 - 31*l. Determine s, given that g(s) = 0.
-5, -1
Let b(q) = -13*q**3 + 21*q**2 - 8*q. Let s(z) = 3*z**3 - 5*z**2 + 2*z. Suppose 0 = -4*j + 2*j + 8. Let r(h) = j*b(h) + 18*s(h). Factor r(x).
2*x*(x - 2)*(x - 1)
Let a = -2189/30 - -73. Let t(o) be the second derivative of 3/20*o**5 + 1/4*o**4 + 0*o**2 + o + 1/6*o**3 + 0 + a*o**6. Let t(r) = 0. Calculate r.
-1, 0
What is p in -8/7*p**5 + 36/7*p**2 + 48/7 + 142/7*p**3 - 152/7*p + 24/7*p**4 = 0?
-2, 1/2, 6
Find l such that 1/2*l**5 + 21/2*l**4 + 19/2*l**3 - 10*l + 0 - 21/2*l**2 = 0.
-20, -1, 0, 1
Let c be 0 + ((-16)/(-4))/2. Factor -p**c - 14 + 17 + 4*p - 6.
-(p - 3)*(p - 1)
Let m be 62/(-14) + -94 + 99. Solve -m - 2/7*g**3 - 8/7*g**2 - 10/7*g = 0 for g.
-2, -1
Let g = -18 + -2. Let y = g + 22. Find d, given that 3*d**3 - 18*d + d**y + 3*d**4 + d**5 + 18*d = 0.
-1, 0
Let p(r) = 14*r**2 - 3*r - 2. Let d be p(-2). Let g = -30 + d. Solve -3*q**3 - q**2 + g + 5*q**3 - 22 - 5*q**2 = 0 for q.
-1, 2
Find c, given that -3*c**4 + 0*c - 12/5*c**2 - 24/5*c**3 - 3/5*c**5 + 0 = 0.
-2, -1, 0
Let f be (35/(-14) - -3)/((-4)/(-10)). Determine z so that 11/4*z**4 - 5/2*z**2 - 1/4 - 1/2*z**3 + 7/4*z - f*z**5 = 0.
-1, 1/5, 1
Let m(h) = -6*h**2 + 3 - 2*h**2 + 6*h**2 + 4*h**2 - 2*h - 2*h**3. Let a(f) = 4*f**3 - 3*f**2 + 3*f - 5. Let v(u) = -3*a(u) - 5*m(u). Solve v(o) = 0.
-1, 0, 1/2
Let x(c) be the second derivative of 1/54*c**3 + 21*c - 1/9*c**2 + 0 + 1/108*c**4. Determine w, given that x(w) = 0.
-2, 1
Let b(g) be the third derivative of g**5/90 + g**4/27 - 79*g**2. Determine z so that b(z) = 0.
-4/3, 0
Let l = 1245 + -2489/2. Find r, given that -1/2*r**3 + 0 + l*r + 0*r**2 = 0.
-1, 0, 1
Let n(d) be the third derivative of 13*d**8/1176 - 4*d**7/105 + 17*d**6/420 - d**5/105 - 44*d**2. Factor n(w).
2*w**2*(w - 1)**2*(13*w - 2)/7
Solve -148877/7 + 1/7*t**3 - 159/7*t**2 + 8427/7*t = 0.
53
Let j = 6/26425 + 52772/343525. Suppose 2/13*x - 2/13*x**3 + j*x**2 - 2/13 = 0. What is x?
-1, 1
Let k be 29 + 0 - 7/((-28)/(-8)). Factor k + 5*n**4 - 11 - 5 + 21*n**2 - 9 + 11*n + 17*n**3.
(n + 1)**3*(5*n + 2)
Let t be (2/(-6))/(16/(-48)). Let j(f) be the first derivative of -2/3*f**3 + f**2 - t + 2*f - 1/2*f**4. Factor j(v).
-2*(v - 1)*(v + 1)**2
Let i(s) be the third derivative of 5*s**8/336 + s**7/7 + s**6/8 - 5*s**5/6 + 29*s**2 + 1. Determine d, given that i(d) = 0.
-5, -2, 0, 1
Let t(a) be the first derivative of -20/3*a**3 + 16 + a**4 + 8*a**2 + 0*a. Factor t(p).
4*p*(p - 4)*(p - 1)
Let n be 44/99*(-9)/(-2). Let v(w) be the third derivative of 0*w + 0 - 1/18*w**4 + 1/180*w**6 + 0*w**3 - 7*w**n + 1/90*w**5. Factor v(k).
2*k*(k - 1)*(k + 2)/3
Let o be 2/(-13) - 1435/(-455). Let 4*v**o + 46/7*v**2 + 8/7 + 6/7*v**4 + 32/7*v = 0. Calculate v.
-2, -1, -2/3
Factor 296/7 - 1488/7*u - 50/7*u**3 + 270*u**2.
-2*(u - 37)*(5*u - 2)**2/7
Let k(c) be the first derivative of c**4/4 + 12*c**3 + 216*c**2 + 1728*c - 752. Factor k(y).
(y + 12)**3
Let l(j) be the first derivative of -j**8/5880 + j**7/2940 + j**6/630 + 28*j**3/3 - 18. Let w(k) be the third derivative of l(k). Factor w(z).
-2*z**2*(z - 2)*(z + 1)/7
Let k be 3159/1458*8/52*5. Factor -k + 1/3*x**3 + 5/3*x**2 - 1/3*x.
(x - 1)*(x + 1)*(x + 5)/3
Let d(i) be the second derivative of -5*i**8/336 + i**7/21 - i**6/24 + 6*i**2 + 15*i. Let k(g) be the first derivative of d(g). Factor k(r).
-5*r**3*(r - 1)**2
Let z be (6/9)/((-2)/84). Let u be (z/16*4/(-14))/2. Solve 1/4*q**3 + u*q**2 - 1/4*q - 1/4 = 0.
-1, 1
Let j(i) = -i**3 - i**2 - i - 1. Let o(b) = -4*b**3 + 31*b**2 + 76*b - 499. Let h(y) = j(y) + o(y). Determine x so that h(x) = 0.
-4, 5
Let u(h) = -h**2 - 143*h - 950. Let l be u(-7). Factor 1/2*t - 1/2*t**4 + t**l - t**3 + 1/2*t**5 - 1/2.
(t - 1)**3*(t + 1)**2/2
Factor -44*i + 1/4*i**2 + 1936.
(i - 88)**2/4
Let f(i) = i**2 - i + 7. Let h(y) = 90*y + 141. Let d(u) = -3*f(u) - h(u). Factor d(j).
-3*(j + 2)*(j + 27)
Factor -81/2 + 99/2*v + 1/2*v**3 - 19/2*v**2.
(v - 9)**2*(v - 1)/2
Suppose 3*l - 140 = 7*l. Let v be 4/(-12) - l/15. Factor -1/4*g - 1/4*g**v + 1/2.
-(g - 1)*(g + 2)/4
Let l(f) = 15*f**3 + 66*f**2 + 111*f + 84. Let p(n) = -n**3 + n**2 + 3*n - 1. Let y(k) = -l(k) - 12*p(k). Suppose y(g) = 0. What is g?
-24, -1
Suppose 4*r - 28 = -4*j, 20*j = 25*j + 3*r - 29. Let c(g) be the second derivative of 2*g + 0 + 1/72*g**j - 1/6*g**3 + 3/4*g**2. Factor c(o).
(o - 3)**2/6
Let x(n) = -n**2 + n - 1. Let m(l) = 2*l**3 + 15*l**2 + 57*l + 51. Let z(b) = -b**2 - 6*b + 3. Let a be z(-6). Let k(d) = a*x(d) - m(d). Solve k(u) = 0.
-3
Let -33*g**3 - 41*g**2 + 16 + 8*g - g**4 + 55*g**3 - 3*g**4 + 5*g**2 = 0. Calculate g.
-1/2, 2
Let x be (-14)/(-10) - 2/10. Suppose 2*m - 24 + 8 = 0, -d + 5*m - 38 = 0. Let -2*j + 6/5*j**d - x + 2*j**3 = 0. Calculate j.
-1, -3/5, 1
Let k(g) be the first derivative of 49*g**6/3 + 42*g**5/5 - 269*g**4/2 + 194*g**3 - 104*g**2 + 24*g + 596. Suppose k(c) = 0. Calculate c.
-3, 2/7, 1
Let s(c) = c**2 + 229*c - 1894. Let h be s(8). Determine p so that -1/3 - 1/3*p**4 - h*p**2 + 4/3*p**3 + 4/3*p = 0.
1
Let -189/2*n**2 + 16 + 25*n + 50*n**3 + 7/2*n**4 = 0. Calculate n.
-16, -2/7, 1
Factor 20/9*v**3 - 50/9 + 16/3*v**2 + 2/9*v**4 - 20/9*v.
2*(v - 1)*(v + 1)*(v + 5)**2/9
Let x(o) be the first derivative of -o**4/48 + o**3/12 + 2*o - 10. Let y(v) be the first derivative of x(v). Suppose y(z) = 0. What is z?
0, 2
Suppose 2*f + 5 = 3*i, 4*f = 5*i - 2 - 3. Suppose 3 = 2*z - i. Factor -86*w**3 + 134*w - w**5 - 233*w + 270*w**2 - 4*w**3 - 306*w + 15*w**z + 243.
-(w - 3)**5
Let u(p) = 8*p - 22. Let o(v) = -15*v + 45. Let h(m) = 6*o(m) + 11*u(m). Let c be h(13). Factor 3/2*y**2 + y**3 - 1/2*y**4 - c*y - 2.
-(y - 2)**2*(y + 1)**2/2
Factor 15 - a**2 + 6*a - 1 - 7*a + 3*a**2 - 15*a.
2*(a - 7)*(a - 1)
Suppose 19/3*j + 1/3*j**2 - 20/3 = 0. Calculate j.
-20, 1
Let v(j) be the first derivative of -1/10*j**4 - j**2 - 37 - 20*j + 16/15*j**3. Find x such that v(x) = 0.
-2, 5
Suppose 4*p + 2*v + 2*v = -28, -19 = p + 4*v. Let t be (-8)/p*3 + -3. What is d in -7/4*d**2 - d**t + 3/2*d**3 + 0 - 1/2*d + 7/4*d**4 = 0?
-1, -1/4, 0, 1, 2
Let f = 949/5 + -569/3. Let u(p) be the second derivative of f*p**6 + 1/21*p**7 + 0*p**2 - 1/3*p**4 + 0*p**5 - 5*p + 0 - 1/3*p**3. Solve u(j) = 0 for j.
-1, 0, 1
Suppose -11*p - 2*p - 8*p = -42. Factor 1/6*y**p - 5/6 + 2/3*y.
(y - 1)*(y + 5)/6
Let v(f) be the first derivative of 5*f**3/3 + 20*f**2 - 45*f - 503. Factor v(i).
5*(i - 1)*(i + 9)
Let m be (48/(-4))/3 + (-2 - -8). Let z(i) be the second derivative of 1/21*i**3 + 0*i**m + 0 + 1/140*i**5 - i + 1/28*i**4. Suppose z(o) = 0. Calculate o.
-2, -1, 0
Suppose 4*m - 16 = o, 3*o = 4*m - 3 - 13. Suppose o*d = 4*d - 12. Suppose -5*z**5 + 0*z**5 - 9*z**5 - 22*z**d + 3*z**2 - 7*z**2 - 32*z**4 = 0. What is z?
-1, -2/7, 0
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