ose 0 = 5*d + 13 - 18. Determine y, given that 9/2*y**4 - 5/2*y - 7/2*y**2 + 9/2*y**3 + d = 0.
-1, 1/3, 2/3
Suppose -5*c = 4*w - 183, 2*w = 6*w + 2*c - 174. Let j be ((-7)/w)/(1/(-3)). Determine p, given that j*p - p**2 + 1 - 1/2*p**3 = 0.
-2, -1, 1
Solve -102*u - 2*u**2 + 123*u - u**2 = 0.
0, 7
Factor 126*y**3 - 4*y**4 - 2*y**4 - 129*y**3 - 3*y**5.
-3*y**3*(y + 1)**2
Let z(m) = m**2 - 5*m + 6. Let p = -13 - -16. Let a be z(p). Factor -2/9*r + a - 2/9*r**3 + 4/9*r**2.
-2*r*(r - 1)**2/9
Let i(s) be the first derivative of s**5/3 - 5*s**3/9 + 5. Factor i(o).
5*o**2*(o - 1)*(o + 1)/3
Let s be (-3 - (-54)/12) + -1. Suppose -1/2*p**2 + 2*p + s - 2*p**3 = 0. Calculate p.
-1, -1/4, 1
Suppose -2*b = 3*g - 11, 0*g + 2*g = 5*b + 20. Suppose -2*q = 6, 3*q - 7 = -3*z + g. Factor -2 + 12*i**2 - i - z*i**3 - 2*i + 0*i.
-(i - 1)**2*(7*i + 2)
Let d = 106 + -61. Let k be (-9)/(-4)*10/d. Determine z so that -k*z - 1/4*z**2 - 1/4 = 0.
-1
Suppose 43 = -4*o + 63. Let k(r) be the first derivative of 6/5*r**o + 0*r**4 + 8/3*r - 26/9*r**3 + 0*r**2 - 3. Find n, given that k(n) = 0.
-1, -2/3, 2/3, 1
Let j be (-2 - 2/(-2))/1 + 3. Let r(o) be the first derivative of 0*o - 3 - 1/8*o**j - 1/12*o**3. Factor r(y).
-y*(y + 1)/4
Let d be 4/(-20) + (-4 - 141/(-15)). Factor -54/5*b**3 - d*b**2 - 4/5*b - 14/5*b**5 - 46/5*b**4 + 0.
-2*b*(b + 1)**3*(7*b + 2)/5
Let x(d) = -d. Let b be x(7). Let r(m) = m**3 + 7*m**2 + m + 9. Let g be r(b). Find a such that 0*a**2 - 3*a**2 + g + a + 2*a**2 = 0.
-1, 2
Solve -162*h - 3/2*h**3 + 27*h**2 + 324 = 0.
6
Suppose j = 3*f - 5 - 6, 25 = 5*j + f. Suppose y - j = -0. Factor v**3 - 3/4*v**y - 1/4*v**2 + 0 + 0*v.
-v**2*(v - 1)*(3*v - 1)/4
Let w(g) = -g - 2. Let h be w(-2). Let n = h + 0. Suppose 2/7*a**2 + n - 2/7*a = 0. What is a?
0, 1
Let y be 3/21*4 + (-44)/(-70). Determine o so that -y*o + 3/5*o**5 + 0 + 3/5*o**3 - 9/5*o**2 + 9/5*o**4 = 0.
-2, -1, 0, 1
Let o(h) be the first derivative of h**4/6 - 2*h**3 + 9*h**2 + 6*h - 7. Let t(c) be the first derivative of o(c). Determine y so that t(y) = 0.
3
Let f(o) be the first derivative of -5*o**3/3 + 45*o**2 - 405*o - 68. Factor f(w).
-5*(w - 9)**2
Let t(s) be the first derivative of 0*s**2 + 1/3*s**3 - 3 + 1/60*s**5 - 1/6*s**4 + 0*s + 1/180*s**6. Let v(o) be the third derivative of t(o). Factor v(x).
2*(x - 1)*(x + 2)
Suppose -5*p = -4*k + 2*k - 30, 0 = -3*p - 4*k - 8. Let f(q) = -q**3 - 5*q**2 + 4. Let v be f(-5). Find n such that -n**3 + 2*n**4 + 2*n**v - 5*n**p = 0.
-1, 0
Let d(o) be the second derivative of o**3/6 - 3*o**2 + 6*o. Let c be d(6). Determine f so that -1/3*f**5 + c*f**3 + 0 + 2/3*f**4 + 1/3*f - 2/3*f**2 = 0.
-1, 0, 1
Suppose 3*o + b - 3 + 4 = 0, 3*o = 5*b + 5. Let -1 + h**3 - 3 - 3*h + 2 + o*h**3 = 0. Calculate h.
-1, 2
Let a(k) be the second derivative of k**3/6 + 3*k**2/2 + 2*k. Let t be a(-2). Factor 6*l**2 - l**3 - l**3 - 9 + t.
-2*(l - 2)**2*(l + 1)
Suppose -6*r + 2 + 10 = 0. Solve -15/7*j**r - 24/7*j + 12/7 = 0 for j.
-2, 2/5
Let z(o) be the second derivative of -o**4/6 + 4*o**3/3 - 9*o. Determine v, given that z(v) = 0.
0, 4
Suppose 14 + 5 = -4*x + 5*w, -w + 6 = -3*x. Let g be (-1 - 0)/(x/69). Factor -4*a**5 + 28*a**2 + 4*a + g*a**3 + 29*a**5 + 0*a + 70*a**4.
a*(a + 1)**2*(5*a + 2)**2
Let z(v) be the first derivative of 2/9*v**3 - 3 + 2/3*v + 2/3*v**2. Let z(c) = 0. What is c?
-1
Factor -8 - 3*s**2 + 17 + 0*s**2 - 6.
-3*(s - 1)*(s + 1)
Suppose 4*i - 36 = 16. Suppose -19 = 3*j - 6*j + 2*r, j - 4*r = i. Suppose k**j + k**5 - 4*k**4 - 2*k**2 + 0*k**2 + 6*k**2 - 2*k = 0. Calculate k.
-1, 0, 1
Let a = -186/5 - -37. Let k = 1/20 - a. Factor 0*h**2 + 0 + k*h**4 + 1/4*h**3 + 0*h.
h**3*(h + 1)/4
Let p(l) be the first derivative of -l**6/36 + l**5/15 - l**4/24 - 3. Suppose p(y) = 0. Calculate y.
0, 1
Let o(l) be the third derivative of l**2 + 0 + 0*l + 2/15*l**5 - 1/12*l**4 + 0*l**3. Let o(v) = 0. Calculate v.
0, 1/4
Let q(f) be the first derivative of 2/5*f**2 - 3 + 0*f - 2/15*f**3. Find j such that q(j) = 0.
0, 2
Let j = 44409/47 - 945. Let u = j + 348/517. Let -4/11 - u*f + 0*f**2 + 2/11*f**3 = 0. Calculate f.
-1, 2
Let n = -15 - -12. Let f be (-10)/n - (11 + -8). Factor f + p + p**2 + 1/3*p**3.
(p + 1)**3/3
Let b(s) = s**3 + 3*s**2 - 6*s - 2. Let v be b(-4). Let h(d) = d**2 - 1. Let k be h(2). Factor 4*c**k + 3*c + 5*c**4 + 1 + v*c**3 + 4*c - 2*c + c**5 + 10*c**2.
(c + 1)**5
Let q = 95 - 659/7. Solve 0 - 3/7*t**2 - 12/7*t**3 + q*t + 9/7*t**4 = 0 for t.
-2/3, 0, 1
Let x be 7/(14/6) - -30. Let i = -31 + x. Determine l, given that 2/11*l**i + 0 + 2/11*l - 2/11*l**3 - 2/11*l**4 = 0.
-1, 0, 1
Determine w, given that 1/2 - 1/4*w**2 + 1/4*w = 0.
-1, 2
Suppose 12*b = b - 3*b. Find v, given that -1/3*v**2 + b*v - 2/3*v**4 - v**3 + 0 = 0.
-1, -1/2, 0
Let l be 9/6 + 0*(-4)/8. Find p such that -1/2*p**2 + 0 + l*p**4 + 2*p**3 - p = 0.
-1, 0, 2/3
Let z(v) = -10*v**4 - 8*v**3 + 4*v**2 - 16*v - 6. Let j(q) = q**4 + q**3 - q**2 + q + 1. Let u(y) = 12*j(y) + z(y). Factor u(t).
2*(t - 1)**2*(t + 1)*(t + 3)
Let h(k) = 3*k - 14. Let q be h(6). Let 2/3*l**3 + 0 + 0*l - 2/3*l**2 - 2/3*l**5 + 2/3*l**q = 0. What is l?
-1, 0, 1
Let x(r) = r**2 - 31*r - 30. Let m be x(-1). Factor 0 + 1/3*q**4 - 1/3*q**3 + 0*q + 0*q**m.
q**3*(q - 1)/3
Let h be ((-52)/39)/((-2)/6). Find f such that 12*f**3 + 4*f - 2*f**4 - 2*f**h + 0*f**4 - 12*f**2 + 0*f**4 = 0.
0, 1
Let z(h) be the second derivative of h + 0 - 1/20*h**5 + 1/6*h**3 + 0*h**2 + 0*h**4. Factor z(x).
-x*(x - 1)*(x + 1)
Let h(r) be the third derivative of 0*r**3 + 0*r**4 - 1/600*r**6 + 0*r**5 + 0*r + r**2 + 0. Solve h(g) = 0.
0
Let r be ((-4)/5)/((-2)/10). Let w(s) be the second derivative of -11/4*s**r + 0 - 2*s - 8/15*s**6 - 1/2*s**2 + 2*s**5 + 5/3*s**3. Factor w(m).
-(m - 1)**2*(4*m - 1)**2
Suppose 16*b = 80 - 48. Determine t, given that -2/5*t - 3/5*t**b - 1/5*t**3 + 0 = 0.
-2, -1, 0
Let p = 25 - 24. Let h(g) be the first derivative of -2/9*g**3 - p - 1/12*g**4 + 0*g + 0*g**2. Factor h(t).
-t**2*(t + 2)/3
Suppose m + 9 = 4*m. Let i be ((-4)/(-14))/(m/21). Factor o + 2*o**i + o**4 + o**4 - o + 4*o**3.
2*o**2*(o + 1)**2
Let w(z) be the second derivative of 9*z - 127/6*z**4 - 4*z**2 - 112/15*z**6 + 0 - 38/3*z**3 - 7/6*z**7 - 361/20*z**5. Solve w(y) = 0 for y.
-2, -1, -2/7
Let d(o) be the second derivative of -o - 1/14*o**7 + 0 - 1/2*o**4 - 1/2*o**3 + 3/10*o**5 + 1/10*o**6 + 3/2*o**2. Determine t, given that d(t) = 0.
-1, 1
Suppose 0 = -5*q + 13 + 2. Suppose -3*j**2 + 3*j**5 - 10 - 9*j**q + 6*j + 10 + 3*j**4 = 0. Calculate j.
-2, -1, 0, 1
Let y(j) be the first derivative of 2*j**3/27 + 2*j**2/9 + 16. What is u in y(u) = 0?
-2, 0
Let z(j) be the third derivative of -j**7/3780 - j**6/360 - j**5/90 - j**4/24 + 2*j**2. Let t(g) be the second derivative of z(g). Determine p so that t(p) = 0.
-2, -1
Factor 4 - 5*d**2 - 21 + 2 + 20*d.
-5*(d - 3)*(d - 1)
Let j = -6/23 - -110/69. Let 14/3*t**2 + 0 - j*t = 0. Calculate t.
0, 2/7
Suppose 0 = 3*m - 2*v - 14 - 0, 12 = -3*v. Factor -4*l**3 + m*l**4 - 2*l + 3*l**2 + 5*l**2 - 2*l**2 - 2*l**3.
2*l*(l - 1)**3
Suppose 2*p**4 + 8*p + 5*p**2 + 5*p**3 + 7*p**3 + 13*p**2 = 0. Calculate p.
-4, -1, 0
Let z = -20 + 16. Let c be 3*((-19)/z - 4). Factor 1 + y - 9/4*y**2 - c*y**3.
-(y + 1)*(3*y - 2)*(3*y + 2)/4
Suppose 5*u - u = -32. Let v = 20 + u. Factor 13*f**2 + 0 + 4 - v*f**2 - 5.
(f - 1)*(f + 1)
Let s(o) = o + 2. Let j = -16 + 14. Let f be s(j). Factor f*r + 2/5*r**4 + 0 + 0*r**2 + 0*r**3 - 2/5*r**5.
-2*r**4*(r - 1)/5
Let f = -195/2 - -98. Let f*t**2 + 1 + 6*t**3 - 9/2*t = 0. What is t?
-1, 1/4, 2/3
Find f, given that 0*f**2 + 2/5*f**3 + 0*f + 2/5*f**4 + 0 = 0.
-1, 0
Solve -100/3 + 19/3*h**2 + 80/3*h + 1/3*h**3 = 0.
-10, 1
Let v(o) be the third derivative of -o**7/105 - o**6/60 + o**5/10 + 5*o**4/12 + 2*o**3/3 + 10*o**2. Let v(q) = 0. What is q?
-1, 2
Let g(l) be the first derivative of -3*l**4/16 - 5*l**3/4 + 6. Factor g(h).
-3*h**2*(h + 5)/4
Suppose 2 = 2*k - k. Let w = -211 - -641/3. Factor 2/3*n**k + w + 8/3*n.
2*(n + 2)**2/3
Let o(m) = -m**2 + 10*m + 3. Let p be o(10). Solve -5*k**p + 8*k**4 - 4*k**4 + 4*k + k**3 - 4*k**2 = 0 for k.
-1, 0, 1
Suppose i + 2*z = -1, 4*z - 7 = 5*i - 30. Let -2 - 10*o**2 + 4*o + 1 + 1 + 6*o**i = 0. What is o?
0, 2/3, 1
Let h = -14 - -16. Factor -h*a**2 + a**2 - 3*a**2 + 2*a**2.
-2*a**2
Let o = -16 + 25