 = d**3 + 9*d**2 + 7*d - 6. Let a be q(-8). Let j be (2 - 5)/(1*1/(-1)). Factor 0 + k - k**j + 0 + 2*k**3 - 2*k**a.
k*(k - 1)**2
Find a such that 1/5*a - 1/5*a**2 + 0 = 0.
0, 1
Let j be (-17 + (-2964)/(-182))*2*(-2)/10. Factor -2*h + 0*h**2 + 12/7 + j*h**3.
2*(h - 2)*(h - 1)*(h + 3)/7
Let x(j) = -2*j - 138. Let o be x(-71). Let -1/2 + p + 0*p**2 + 1/2*p**o - p**3 = 0. What is p?
-1, 1
Suppose -4 = 3*b - 4*b. Suppose 8 = 10*v - 6*v. Determine y so that 0*y**4 - b*y**4 + 0*y - y + 3*y**2 + 0*y**v = 0.
-1, 0, 1/2
Suppose 3*h + 20 = -4*m, 4*m - 12 = 4*h + h. Let r be (4/h - 0) + 4. Suppose -3/4*l**2 + 1/4*l + 1/2 + 1/4*l**4 - 1/4*l**r = 0. What is l?
-1, 1, 2
Suppose 6*l - 3*l - 150 = 0. Let n = -30 + l. Factor -n*a + 2*a**2 + a**2 + 11*a + 6.
3*(a - 2)*(a - 1)
Solve 3/5*o - 1/5*o**2 - 2/5 = 0.
1, 2
Factor -2*v**2 + 7*v**4 - 1 - 29*v**4 + 13*v**4 + 8*v**4 + 4*v**2.
-(v - 1)**2*(v + 1)**2
Let i(t) be the second derivative of 3*t**5/20 - 3*t**4/2 + 3*t**3/2 + 15*t**2 + 37*t + 1. Factor i(r).
3*(r - 5)*(r - 2)*(r + 1)
Let g be 5/(-10) - (-418)/20. Let k = g - 14. Factor -k*c - 12/5*c**3 - 16/5 + 44/5*c**2.
-4*(c - 2)**2*(3*c + 1)/5
Let j(t) be the first derivative of t**5/570 + t**4/57 + t**3/19 - 3*t**2 - 6. Let a(p) be the second derivative of j(p). Suppose a(o) = 0. What is o?
-3, -1
Let p = 37 + -35. Determine r so that -34*r**p - 14*r**2 - 8*r**5 - 16*r + 4*r**5 - 52*r**3 - 24*r**4 = 0.
-2, -1, 0
Let l(c) = c**3 + 1. Let i be l(-3). Let d = i - -29. Determine j so that 6*j + 13*j**2 + 2*j**d - 10*j**2 - 11*j**3 = 0.
-2/3, 0, 1
Factor -231/2*u**2 - 24*u**3 + 0 - 147*u - 3/2*u**4.
-3*u*(u + 2)*(u + 7)**2/2
Let t(h) be the first derivative of 33*h**4/10 + 84*h**3/5 + 108*h**2/5 - 48*h/5 - 155. Factor t(r).
6*(r + 2)**2*(11*r - 2)/5
Factor 2*q + 29*q**4 - 7*q**4 + 28*q**3 + 10*q**4 + 20*q**3 + 18*q**2.
2*q*(q + 1)*(4*q + 1)**2
Suppose 0 = -2*k - 3*j + 116, -4*k + 224 = 3*j + j. Suppose 54*x = k*x. Find w such that x*w + 6/5*w**2 + 0 + 3/5*w**4 + 9/5*w**3 = 0.
-2, -1, 0
Let g(c) be the third derivative of -c**8/784 + 3*c**6/280 + c**5/70 + 69*c**2. Find t such that g(t) = 0.
-1, 0, 2
Let u(q) be the first derivative of q**7/5040 + q**6/2160 - q**5/360 + 2*q**3 - 1. Let h(c) be the third derivative of u(c). Factor h(r).
r*(r - 1)*(r + 2)/6
Let v(r) = -41*r - r**2 + 2*r**2 - 4 + 38*r. Let m(j) = j**2 - 3*j - 4. Let f(d) = 3*m(d) - 2*v(d). Let f(a) = 0. What is a?
-1, 4
Let r(q) be the third derivative of -1/2*q**4 + 19*q**2 + 1/30*q**5 + 0 + 0*q + 4/3*q**3 + 1/40*q**6 - 1/210*q**7. Factor r(z).
-(z - 2)**2*(z - 1)*(z + 2)
Let l = 6 - 1. What is j in 4*j + 0*j + j**2 - l*j = 0?
0, 1
Let b(c) be the first derivative of -3*c**5/25 - 6*c**4/5 - 9*c**3/5 + 27*c**2/5 + 53. Suppose b(g) = 0. What is g?
-6, -3, 0, 1
Let n(h) = -15*h**5 + 12*h**4 + 72*h**3 - 15*h**2 - 3*h. Let z(k) = -k**5 - k**4 + k**3 + k**2 - k. Let r(q) = -n(q) + 3*z(q). Suppose r(d) = 0. Calculate d.
-2, 0, 1/4, 3
Let o be (-1 + 2 - 1) + 2. Let y(f) = f + 2. Let d be y(0). Find t such that -2*t**2 - 4 - t**d + 2 - 7*t - o*t**2 = 0.
-1, -2/5
Let x(g) = -4*g**4 + 42*g**3 - 234*g**2 + 358*g - 164. Let h(m) = -5*m**4 + 43*m**3 - 233*m**2 + 357*m - 165. Let d(i) = -4*h(i) + 6*x(i). Factor d(k).
-4*(k - 9)**2*(k - 1)**2
Let x(h) be the third derivative of h**6/160 - 3*h**5/80 - 9*h**4/32 + 27*h**3/8 + 808*h**2. Factor x(c).
3*(c - 3)**2*(c + 3)/4
Suppose p - 5*p = -280. Suppose -5*s - 2*s = -p. Determine g so that s*g + 3 - g**2 - 2*g - 6*g = 0.
-1, 3
Solve -4/3*l**4 - 1/3*l - l**5 + 2*l**2 + 4/3*l**3 - 2/3 = 0 for l.
-1, 2/3, 1
Let f be (2 - (-48)/(-21)) + 130/(-35) + 6. Let t be 11/6 - (-6)/(-12). Factor -10/3*l**2 + f*l + t.
-2*(l - 1)*(5*l + 2)/3
Let z(s) = s**3 - 26*s**2 - 29*s + 56. Let u be z(27). Determine f, given that -4*f**4 + 6*f + 6*f**4 - 6*f**3 - u*f**4 + 3*f**4 - 3 = 0.
-1, 1
Let z = 23397 - 23395. Determine w, given that 8/17 + 2/17*w**z - 10/17*w = 0.
1, 4
Let m(g) = -15*g**3 + 545*g**2 + 1595*g + 1485. Let o(c) = c**3 - 39*c**2 - 114*c - 106. Let s(v) = 6*m(v) + 85*o(v). Factor s(x).
-5*(x + 2)**2*(x + 5)
Let z be (-15)/(-6)*316*(-3)/(-30). Find w, given that 3 - 22*w - 9*w**3 + z*w - 6*w**2 - 21 = 0.
-3, 1/3, 2
Let x(y) = 3*y**2 - 138*y + 143. Let d(s) = -9*s**2 + 276*s - 287. Let r(a) = 2*d(a) + 5*x(a). Factor r(f).
-3*(f - 1)*(f + 47)
Let r(i) be the third derivative of 1/70*i**7 + 11*i**2 - 1/40*i**6 + 0*i + 1/8*i**4 + 0*i**3 + 0 - 1/20*i**5. Factor r(p).
3*p*(p - 1)**2*(p + 1)
Let h(j) be the first derivative of 27/8*j**4 + 27/2*j**3 - 11/2*j**2 + 9/20*j**5 + 0*j + 1/40*j**6 + 3. Let v(c) be the second derivative of h(c). Factor v(u).
3*(u + 3)**3
Let b be ((-246)/1435)/(-2 + 12/7). Factor b*j**2 - 9/5*j + 0.
3*j*(j - 3)/5
Suppose -15 = -4*l + m, 5*m - 451 = -3*l - 457. Factor 0 - 1/2*r**5 + 1/2*r**2 + 0*r + 3/2*r**4 - 3/2*r**l.
-r**2*(r - 1)**3/2
Let y(x) be the second derivative of x**7/21 + x**6/10 + x**5/20 - 42*x - 1. Factor y(r).
r**3*(r + 1)*(2*r + 1)
Suppose -33*o + 40 = -125. Factor 0*r**2 + 0*r - 1/2*r**4 - 1/4*r**3 + 0 - 1/4*r**o.
-r**3*(r + 1)**2/4
Let m(l) be the first derivative of 8 - 1/4*l**3 - 27/4*l - 9/4*l**2. Solve m(y) = 0.
-3
Let y(i) be the first derivative of -4*i**3/3 + 24*i**2 - 80*i + 31. Factor y(o).
-4*(o - 10)*(o - 2)
Let r(n) be the second derivative of 26*n - 4/15*n**3 + 1/30*n**4 + 3/5*n**2 + 0. Find k such that r(k) = 0.
1, 3
Factor -11/3*h**2 + 1/3*h**5 - 3*h**3 + 0 - 4/3*h - 1/3*h**4.
h*(h - 4)*(h + 1)**3/3
Let s(m) be the first derivative of -m**4/54 - 51*m - 48. Let a(q) be the first derivative of s(q). Factor a(v).
-2*v**2/9
Let q = -814 + 5700/7. Let u(b) be the second derivative of 2*b - 13/21*b**3 + 5/14*b**4 + 0 - q*b**2. Determine z so that u(z) = 0.
-2/15, 1
What is o in 64/5*o**2 - 46/5 + 117/5*o - 3/5*o**3 = 0?
-2, 1/3, 23
Let o(i) = -i**5 + 9*i**4 - 7*i**3 - 9*i**2 - 8. Let c(j) = -1 + 6*j**2 + 2*j**4 - j**3 - 9*j**2 - j**4 + 2*j**2. Let l(v) = -40*c(v) + 5*o(v). Factor l(f).
-5*f**2*(f - 1)**2*(f + 1)
Factor -186*a**4 - 2*a**2 + 8*a + 361*a**4 - 176*a**4 - 5*a**3.
-a*(a - 1)*(a + 2)*(a + 4)
Let o(l) be the first derivative of -10/3*l - 8/9*l**3 + 3*l**2 + 1. What is g in o(g) = 0?
1, 5/4
Let x(v) be the first derivative of -v**4 + 11*v**3/2 - 21*v**2/2 + 16*v + 14. Let t(d) be the first derivative of x(d). Determine g so that t(g) = 0.
1, 7/4
Let a be 1 - 18/15 - 903/35. Let m(n) = -n**3 - 25*n**2 + 26*n + 2. Let h be m(a). Factor -4/3*x - 2*x**h + 2/3.
-2*(x + 1)*(3*x - 1)/3
Suppose -2*o + 0*o = -20. Suppose 0 = o*l - 5*l - 65. Factor 9*h**2 + 2 - 8*h**2 + 10*h**2 - l*h.
(h - 1)*(11*h - 2)
Let s(p) be the first derivative of 2*p**5/65 + 4*p**4/13 + 10*p**3/13 - 4*p**2/13 - 40*p/13 - 152. Determine q so that s(q) = 0.
-5, -2, 1
Let z(s) be the first derivative of -8/3*s - 4/9*s**3 + 30 + 2*s**2. Factor z(l).
-4*(l - 2)*(l - 1)/3
Suppose 5*z = 9*z + 72. Let m be (-6)/z - (-5)/3. Factor -n**m + 0*n**2 - 8*n**4 - 3*n**2 - 7*n + 20*n**3 - n.
-4*n*(n - 2)*(n - 1)*(2*n + 1)
Let q = -5114 - -5114. Let 2/5*n**2 + q + 0*n = 0. Calculate n.
0
Let f be 0*-21*(-3)/63. Factor -10/3*v**2 + 8/3*v**3 + 2/3*v + f.
2*v*(v - 1)*(4*v - 1)/3
Let i be 2 + (-654)/396 - (-2)/(-11). Let x(p) be the second derivative of 1/3*p**2 + 9*p - 1/18*p**4 - i*p**3 + 0. Determine o, given that x(o) = 0.
-2, 1/2
Let x(i) be the first derivative of -i**3/5 - 9*i**2/2 - 162*i/5 - 239. Determine u so that x(u) = 0.
-9, -6
Let y(q) be the first derivative of -q**4/42 + 8*q**3/63 + 11*q**2/21 + 4*q/7 + 213. Factor y(f).
-2*(f - 6)*(f + 1)**2/21
Let n(v) = -4*v**3 + 30*v**2 + 144*v + 244. Let z(w) = 9*w + 0*w**3 - 8*w + 4*w**3 - 3*w**3 + 1. Let u(j) = 2*n(j) + 12*z(j). Factor u(q).
4*(q + 5)**3
Let c(x) be the second derivative of x**7/168 + 17*x**6/240 + 3*x**5/20 + 3*x**4/4 - 19*x. Let j(p) be the third derivative of c(p). Solve j(d) = 0 for d.
-3, -2/5
Let y = -2 + 5. Factor -4*j - 5*j**4 + 5*j**y - 18*j**3 - j**5 - j**4 - 12*j**2.
-j*(j + 1)**2*(j + 2)**2
Let v be (-35)/(-49)*(-3)/(-10)*(-132)/(-99). Let -6/7*k + 4/7 + v*k**3 + 0*k**2 = 0. Calculate k.
-2, 1
Let z(w) be the second derivative of 0*w**2 - 1/6*w**4 + 8*w + 0 - 3/20*w**5 + 0*w**3 + 1/6*w**6. Solve z(j) = 0 for j.
-2/5, 0, 1
Let x = 83438/7 - 11918. Let -52/7*s + 10/7 + 108/7*s**2 - x*s**5 + 58/