 1073/2142 + -1/1071. Suppose j + 5 = 2*j. Let 0*z**2 + 0 + 0*z**4 - 1/4*z**j + t*z**3 - 1/4*z = 0. What is z?
-1, 0, 1
Let w(n) be the first derivative of -8 - 7/5*n**2 + 2/15*n**3 + 12/5*n. Factor w(f).
2*(f - 6)*(f - 1)/5
Let u = -13/291 - -1811/1455. Let 18/5*k**3 + u*k**4 + 72/5 - 48/5*k - 2/5*k**5 - 46/5*k**2 = 0. Calculate k.
-2, 1, 3
Suppose 2*k + 9 = 17. Find w, given that 2*w - 19*w**5 + 8*w**4 - 9*w**3 + 35*w**5 - 9*w**5 - 5*w**2 - 3*w**k = 0.
-1, 0, 2/7, 1
Let g be (-20)/(-3 - 4/(-4)). Suppose 3*q + g = 4*h - 9*h, -2*h = 5*q - 15. Let -3*p**q - 9*p**4 - 4*p**5 - 9*p**3 + 4*p**2 + 4*p**5 - 7*p**2 = 0. What is p?
-1, 0
Let d be (3/(-6) + 1)/(10/12). Let m(v) = v**3 - 20*v**2 + 52*v - 17. Let f be m(17). Find p, given that f - d*p**4 + 9/5*p**2 - 6/5*p**3 + 0*p = 0.
-3, 0, 1
Let l(m) = m**3 + 4*m**2 - 3*m. Let v(c) = 2*c**3 + 5*c**2 - 4*c. Let p be (-68)/(-8) - 6/4. Let y = p + -4. Let w(r) = y*l(r) - 2*v(r). Factor w(a).
-a*(a - 1)**2
Let l(r) = -2*r**2 - 8*r - 6. Let n be l(-6). Let p be (-310)/n - 2/(-3). Find m such that p*m - 3*m - 8*m + m**3 + m**2 = 0.
-1, 0
Let u(g) be the first derivative of -2*g**3/3 - 140*g**2 - 9800*g - 165. Suppose u(m) = 0. What is m?
-70
Let q(p) be the first derivative of p**3/4 - 159*p**2/4 - 321*p/4 - 369. Solve q(r) = 0 for r.
-1, 107
Determine v, given that -4/3*v - 5/3*v**2 + 0 - 1/3*v**3 = 0.
-4, -1, 0
Let m = 16 - 15. Let z(g) = 22*g**4 - 16*g**3 - 26*g**2 - 24*g + 12. Let d(o) = -o**4 - o**2 + o - 1. Let r(k) = m*z(k) + 12*d(k). Factor r(p).
2*p*(p - 3)*(p + 1)*(5*p + 2)
Let x = 566 + -564. Let l(t) be the first derivative of 9/10*t**x + 0*t - 9 - 1/5*t**3. Determine j so that l(j) = 0.
0, 3
Let o(t) be the second derivative of 0 - t**2 + 1/2*t**3 - 1/168*t**7 - 11/80*t**5 + 1/24*t**4 - 22*t + 1/20*t**6. Factor o(i).
-(i - 2)**3*(i - 1)*(i + 1)/4
Suppose -3*d + 0 + 8 = -y, 28 = 5*y + 2*d. Factor 0*n**4 - 2*n**y + 12*n**4 + 10*n**3 - 5*n**4 + 5*n**2.
5*n**2*(n + 1)**2
Let o(g) be the first derivative of 48 - 3/4*g**4 + 0*g**3 + 21/2*g**2 - 18*g. Determine c, given that o(c) = 0.
-3, 1, 2
Suppose -4*p + 30 = 5*a, -3*a + 2 = -2*a. Suppose 15 = p*q + 5. Solve -5*v**2 + 5*v**q - 2*v**2 + 0*v - 8 - 8*v = 0 for v.
-2
Factor 0 - 1/9*j + 1/9*j**2.
j*(j - 1)/9
Let z be ((-6)/(-8))/(3/12). Find u, given that 4*u**z + u + 8*u**4 - 1 - 8*u**2 + 1 - 5*u = 0.
-1, -1/2, 0, 1
Let q(w) = -22*w**3 - 1627*w**2 - 58327*w - 699833. Let s(r) = 7*r**3 + 542*r**2 + 19442*r + 233278. Let i(k) = -2*q(k) - 7*s(k). Factor i(a).
-5*(a + 36)**3
Suppose 0 = 19*w - w. Let h(x) be the third derivative of 0*x - 24/5*x**5 + 2/5*x**6 + 32*x**4 - 1/70*x**7 + w + 7*x**2 - 128*x**3. Factor h(k).
-3*(k - 4)**4
Let d(o) be the third derivative of o**5/12 + 65*o**4/12 + 125*o**3/6 + 13*o**2. Factor d(u).
5*(u + 1)*(u + 25)
Let m = 38 - 34. Factor -32*x**m + 38*x**3 + 4*x**5 + 0*x**5 - 96*x**2 + 36*x + 61*x**3 - 11*x**3.
4*x*(x - 3)**2*(x - 1)**2
Let y = -4 - -28. Determine m, given that -m**4 + 3*m**3 - 12*m - 10*m**3 - 8*m**3 + 4*m**4 + y*m**2 = 0.
0, 1, 2
Let k(x) be the third derivative of -x**2 - 1/120*x**4 + 0 - 4*x - 1/30*x**3 + 1/600*x**6 + 1/300*x**5. Factor k(d).
(d - 1)*(d + 1)**2/5
Suppose 0 = 18*n + 5881 - 5953. Determine v so that -1/3*v**2 - 1/3*v**n + v**3 + 2/3 - v = 0.
-1, 1, 2
Let c(a) be the third derivative of -a**7/126 + a**6/72 + a**5/6 + 42*a**2. Find g such that c(g) = 0.
-2, 0, 3
Let a(l) be the third derivative of 0 + 1/2*l**3 + 0*l + 0*l**4 + 1/300*l**5 + 1/1800*l**6 + l**2. Let y(g) be the first derivative of a(g). Factor y(t).
t*(t + 2)/5
Let i = 54 + -50. Suppose -u = 2*u - 9. Determine v, given that 4 - 3*v - i - u*v**2 = 0.
-1, 0
Let o(w) be the first derivative of -17 + w**2 + 5/2*w - 1/6*w**3. What is p in o(p) = 0?
-1, 5
Let o(a) be the third derivative of -1/210*a**7 + 0*a + 1/672*a**8 + 0 - 1/48*a**4 - 20*a**2 + 0*a**3 + 1/60*a**5 + 0*a**6. Determine i so that o(i) = 0.
-1, 0, 1
Let t(a) = a**2 - a + 2. Let u be t(2). Factor 2*g**3 + 8 + 75*g**4 - 71*g**4 - 12*g**2 + 2*g**3 - u*g.
4*(g - 1)**2*(g + 1)*(g + 2)
Let v(m) be the second derivative of -2*m**7/7 - 7*m**6/10 + 21*m**5/10 - 3*m**4/4 + 542*m. Find z, given that v(z) = 0.
-3, 0, 1/4, 1
Let c(i) be the second derivative of -2*i**3/3 + 2*i**2 + 2*i. Let y(l) = l**2 + 5*l - 3. Let b(x) = -3*c(x) - 4*y(x). What is f in b(f) = 0?
-2, 0
Let b(k) be the second derivative of -17*k**6/10 - 9*k**5/20 + 170*k. Let b(n) = 0. Calculate n.
-3/17, 0
Let b be (9359/840 - 11) + (-1)/(-8). Determine m, given that b*m + 0 - 2/5*m**2 + 2/15*m**3 = 0.
0, 1, 2
Let h be 18/36*(-8)/1. Let q be 38/9 - ((-38)/(-9) + h). Factor 4/9*f**3 - 2/9*f**q + 0*f - 2/9*f**2 + 0.
-2*f**2*(f - 1)**2/9
Factor 0*o**3 + 0*o**2 - 1/3*o**4 + 0*o - 1/6*o**5 + 0.
-o**4*(o + 2)/6
Let y(w) be the third derivative of -w**7/210 + w**6/60 + w**5/60 - w**4/12 - w**2 - 6*w. Suppose y(x) = 0. Calculate x.
-1, 0, 1, 2
Factor -12*z - 2*z**2 - 189 + 98 + 75.
-2*(z + 2)*(z + 4)
Suppose 0 = j - 5*w + 5, 4*w = j + 5*w - 13. Suppose -3*h + j = 1. Determine a, given that 0 + 1/2*a**2 - 1/2*a**h + a = 0.
-1, 0, 2
Let h(o) be the first derivative of o**3/30 - 11*o**2/20 + 9*o/5 + 427. Determine i so that h(i) = 0.
2, 9
Suppose 580*d - 552*d = 56. Solve -4/3*v + 10/3 + 2/15*v**d = 0 for v.
5
Let x(h) be the first derivative of -2*h**6/3 + h**4 + 12. Determine o, given that x(o) = 0.
-1, 0, 1
Suppose -2*h - 4 = -8. Let k be 527/85 + 2*h/(-4). Solve 4/5 - k*t + 64/5*t**2 - 2*t**5 + 44/5*t**4 - 76/5*t**3 = 0.
2/5, 1
Let s(r) be the second derivative of r**6/30 + 17*r**5/10 - 3*r**4 - 17*r**3/3 + 35*r**2/2 + 342*r. Factor s(i).
(i - 1)**2*(i + 1)*(i + 35)
Let x be (-2)/3*(-18)/4. Suppose 0 = -h + 13 - 2. Suppose 2 + 84*k**2 + 64*k + h*k**x + 3 + 11 + 25*k**3 = 0. Calculate k.
-1, -2/3
Factor -675/8*r - 1/8*r**3 - 3375/8 - 45/8*r**2.
-(r + 15)**3/8
Let q(d) = -7*d**2 + 7*d + 4. Let b be (-1 + -3)/(1/8). Let v = b - -36. Let w(t) = -6*t**2 + 6*t + 3. Let i(p) = v*w(p) - 3*q(p). Solve i(u) = 0.
0, 1
Let q be (-180)/(-135) - (-138)/(-117). Factor -6/13*l**3 - 4/13*l**2 + 0*l - q*l**4 + 0.
-2*l**2*(l + 1)*(l + 2)/13
Let w(x) = 28*x**2 - 17*x - 5. Suppose 3*h - 19 + 4 = 0. Let b(j) = -56*j**2 + 35*j + 11. Let n(t) = h*w(t) + 3*b(t). Let n(g) = 0. What is g?
-2/7, 1
What is w in 16/9*w + 0 - 2/9*w**4 - 10/9*w**3 - 4/9*w**2 = 0?
-4, -2, 0, 1
Let p(k) be the third derivative of k**5/100 - 29*k**4/8 + 143*k**3/5 - 211*k**2. Suppose p(z) = 0. Calculate z.
2, 143
Let t = 227 - 1117/5. Let y = 67/65 + -3/13. Suppose 0 + 18/5*m**2 + t*m**3 + y*m = 0. Calculate m.
-2/3, -1/3, 0
Let x be 60/96 + (-7)/(-40). Factor -4/5*v - 4/5 + 4/5*v**3 + x*v**2.
4*(v - 1)*(v + 1)**2/5
Let l(g) = -g**3 - 6*g**2 + 5*g - 4. Let b be l(-7). Suppose b*s**3 - 5*s**4 + 20*s**2 + 0*s**3 - 5*s**3 - 20*s = 0. Calculate s.
-2, 0, 1, 2
Let b(a) be the second derivative of -1/5*a**5 + 0 + 0*a**4 + 0*a**2 + 2/3*a**3 + 40*a. Suppose b(q) = 0. Calculate q.
-1, 0, 1
Let f(x) be the third derivative of x**7/1050 + 2*x**6/225 + 16*x**3/3 - 40*x**2. Let a(q) be the first derivative of f(q). Factor a(j).
4*j**2*(j + 4)/5
Let v(y) be the third derivative of 0*y - 1/12*y**4 + 1/240*y**6 + 0 - 10*y**2 - 1/120*y**5 + 1/3*y**3. Factor v(m).
(m - 2)*(m - 1)*(m + 2)/2
Let k = -125 - -127. Let n be k/16 - 1380/544 - -3. Determine o so that n*o - 10/17*o**3 + 24/17*o**4 - 28/17*o**2 + 4/17 = 0.
-1, -1/4, 2/3, 1
Solve -14/15*g**2 + 0 - 8/5*g - 2/15*g**3 = 0.
-4, -3, 0
Let q(w) = w**3 - 11*w**2 + w - 11. Let y be q(11). Suppose y = -c + 38 - 35. Let 2/3*p - 2*p**c + 0 + 0*p**2 + 4/3*p**4 = 0. What is p?
-1/2, 0, 1
Let d be (-2 - 4)*33/(-9). Suppose 2*y + 4*k + d = 3*y, -5*k = -20. Factor -11 + 3*o**2 + y - o**2 + o**2 + 18*o.
3*(o + 3)**2
Let a be 3/5 + ((-348)/30 - -11). Let z(m) be the third derivative of -1/24*m**4 + a*m - 1/60*m**5 + 1/3*m**3 - 2*m**2 + 0. Factor z(u).
-(u - 1)*(u + 2)
Let w(q) = -2*q**2 + 2*q + 4. Suppose -7*o + 15 - 1 = 0. Let f be w(o). Find n, given that f + 2*n**2 + 1/2*n**3 + 2*n = 0.
-2, 0
Let y(i) be the second derivative of i**5/10 + 7*i**4 - i**3/3 - 42*i**2 - 4*i + 2. Factor y(g).
2*(g - 1)*(g + 1)*(g + 42)
Find w such that 2928 - 2916 + 3*w + 2*w**2 - 13*w = 0.
2, 3
Let g(q) be the second derivative of -q**8/3360 - q**7/210 - q**6/45 + 