Let 1/2*q**2 + 0 + 0*q + 0*q**3 - 1/2*q**b = 0. Calculate q.
-1, 0, 1
Let s = 187 + -183. Let p(n) be the second derivative of -1/66*n**4 + 0 - 1/33*n**3 + 0*n**2 + s*n. Suppose p(q) = 0. What is q?
-1, 0
Suppose -m + 1 - 7 = 0. Let x = -3 - m. Factor 34*k**3 - 1 - 2 - x*k + 3*k**2 - 31*k**3.
3*(k - 1)*(k + 1)**2
Let s be (-2)/22 + 14 + 7168/(-528). Factor -7/6*b + b**3 + 5/6*b**4 - s*b**2 - 1/2 + 1/6*b**5.
(b - 1)*(b + 1)**3*(b + 3)/6
Let m(a) be the third derivative of a**7/945 - a**6/54 + a**5/54 + 10*a**4/27 - 4*a**3/3 + 2*a**2 + 184*a. Solve m(l) = 0.
-2, 1, 2, 9
Let j(q) be the first derivative of 1/4*q**4 + 3/2*q**2 - q + 30 - q**3. Suppose j(f) = 0. Calculate f.
1
Let a(f) be the second derivative of 1/30*f**4 + 2/15*f**3 + 1/5*f**2 - 10*f + 0. Factor a(y).
2*(y + 1)**2/5
Factor -112*w + 30*w**2 + 9673 - 2*w**3 + 9751 - 19304.
-2*(w - 10)*(w - 3)*(w - 2)
Suppose -r = 4*r + 390. Let o be (-5)/20 - r/56. Factor -6/7 + 2/7*f + o*f**2.
2*(f + 1)*(4*f - 3)/7
Let b(z) be the second derivative of -z**7/42 + z**6/6 - 3*z**5/20 - 5*z**4/12 + 2*z**3/3 + z - 70. Solve b(r) = 0.
-1, 0, 1, 4
Let m = 5711 - 5709. Suppose -6/5*v - 4/5 - 2/5*v**m = 0. Calculate v.
-2, -1
Factor 29/4*w - 1/4*w**2 + 0.
-w*(w - 29)/4
Factor 5*g**3 + 51*g - 25*g**2 + 54*g - 105*g.
5*g**2*(g - 5)
Let g(w) = w**2 + w + 2. Let o(q) = 3*q - 23. Let b(a) = -3*g(a) - 3*o(a). Factor b(c).
-3*(c - 3)*(c + 7)
Let i be -4*((-4)/16 + 1) + 3. Suppose 9*z - 8*z - 4 = i. Factor 0 + 16/5*a + 4*a**3 + 32/5*a**2 + 4/5*a**z.
4*a*(a + 1)*(a + 2)**2/5
Suppose 7*g + 2*g = 36. Solve 10*h**4 - 7*h - 4*h**5 + 28*h**2 - 36*h**3 + 10*h**g - h = 0.
0, 1, 2
Let h(l) = -4*l**2 + 38*l - 196. Let v(g) = -2*g**2 + 20*g - 98. Let w(o) = 4*h(o) - 9*v(o). Solve w(k) = 0 for k.
7
Let j(y) = -y**3 - 4*y**2 + 6*y + 7. Let q be j(-5). Suppose 8 = q*m - 0*m. Let 2*t**4 + t**4 - 4*t**m + 4*t**4 = 0. What is t?
0
Let u(n) be the first derivative of -17 - 1/12*n**4 + 1/6*n**2 - 1/6*n + 1/18*n**3. Factor u(r).
-(r - 1)*(r + 1)*(2*r - 1)/6
Let a(k) = 10*k**4 - 110*k**3 + 255*k**2 - 110*k. Let m(b) = -b**4 + b**3 + b**2 + 2*b. Let c(q) = -a(q) + 5*m(q). Suppose c(f) = 0. What is f?
0, 2/3, 3, 4
Let z(k) be the first derivative of k**4/42 - k**3/7 - 4*k**2/7 + 4*k + 15. Let r(o) be the first derivative of z(o). Factor r(h).
2*(h - 4)*(h + 1)/7
Suppose 0 + 57/4*p + 3/4*p**2 = 0. What is p?
-19, 0
Let a = -3 - -5. Let y = 1905/7 - 271. Factor 8/7*x - y - 2/7*x**a.
-2*(x - 2)**2/7
Let n(m) be the first derivative of 8*m**3/21 - 85*m**2/7 + 6*m - 87. Solve n(k) = 0.
1/4, 21
Let f be ((-2)/4)/(13/(-52)). Let j = 41/57 + -1/19. Suppose 0*c + f*c**2 - j*c**3 + 0 = 0. What is c?
0, 3
Let b(o) = -8*o**3 + 20*o**2 - 12*o - 6. Let t(v) = -7*v**3 + 19*v**2 - 10*v - 5. Let r(s) = -5*b(s) + 6*t(s). Determine y so that r(y) = 0.
0, 7
Suppose -2*l + c = 3, -7*l + 2*c = -4*l + 6. Let w(y) be the third derivative of -1/180*y**5 + l*y + 1/9*y**3 - 1/72*y**4 + 3*y**2 + 0. Solve w(v) = 0.
-2, 1
Let w(a) be the first derivative of 1/18*a**4 - 10/27*a**3 + 0*a + 47 + 2/3*a**2. Factor w(t).
2*t*(t - 3)*(t - 2)/9
Let g be (-37)/(1480/(-60))*2/30. Let j(p) be the second derivative of 9*p + 1/4*p**4 - 3/10*p**5 + 0*p**3 + 0 + 0*p**2 + g*p**6. What is r in j(r) = 0?
0, 1
Suppose 0 = -5*u, 4*n + 5*u - 1352 = 3*u. Solve 336*g**3 - 2*g**2 + 2 - n*g**3 + 2*g + 0*g**2 = 0 for g.
-1, 1
Let k = 4598/15 + -805/3. Let n = k + -568/15. Suppose -n*o - 2/9 + 5/9*o**2 = 0. Calculate o.
-2/5, 1
Determine q, given that 2/19*q**2 + 32/19 - 34/19*q = 0.
1, 16
Let m(z) be the third derivative of z**5/20 + 15*z**4/2 + 450*z**3 + 4*z**2 + 15. Factor m(h).
3*(h + 30)**2
Let g = 2039/1110 - -11/370. Determine x so that -98/15 + g*x - 2/15*x**2 = 0.
7
Suppose -54 = -4*o - k, -5*o + 0*o = -5*k - 80. Let r = 18 - o. Solve -28*q**2 + 9*q**2 + 15*q**2 - r*q + 8*q**2 = 0 for q.
0, 1
Factor 0 + 0*c**3 - 2/3*c**2 + 0*c + 2/3*c**4.
2*c**2*(c - 1)*(c + 1)/3
Factor -765*l + 5*l**2 + 31 + 35 - 66 + 0*l**2.
5*l*(l - 153)
Let z(f) = -5*f**3 - 785*f**2 + 1600*f - 805. Let r(c) = -3*c**3 - 393*c**2 + 801*c - 403. Let p(u) = 5*r(u) - 2*z(u). Let p(k) = 0. What is k?
-81, 1
Determine l, given that 18 + 44 + 47 + 155*l + 1 - 15*l**2 = 0.
-2/3, 11
Let n(t) = -8*t**2 - 9*t - 3. Let z(o) = -33*o**2 - 36*o - 12. Suppose -5*f = -5*k - f - 6, 5*f = 2*k - 1. Let a(g) = k*z(g) + 9*n(g). Factor a(q).
-3*(q + 1)*(2*q + 1)
Factor -108*k**3 + 897*k**2 + 24*k**3 - 433*k**2 - 448*k**2.
-4*k**2*(21*k - 4)
Solve -1/4*n - n**3 + 2*n**4 + 5/4*n**5 + 1/2 - 5/2*n**2 = 0.
-1, 2/5, 1
What is s in -6 - 15*s - 4 + 140*s**2 - 145*s**2 = 0?
-2, -1
Let v(g) be the first derivative of g**4/2 + 4*g**3 - 15*g**2 + 16*g + 55. Factor v(b).
2*(b - 1)**2*(b + 8)
Let l = 115 - 112. Let n be (4/6)/(l - 2). Suppose -2/3 - n*d**2 + 4/3*d = 0. Calculate d.
1
Let v(l) = -l**3 - 6*l**2 + 3. Let y be v(-6). Solve -y*r - 4*r**4 + 1 - 5 + 3*r + 8*r**2 = 0 for r.
-1, 1
Let u be (-165)/(-22)*(-1)/(-6). Let 1/4*q**2 - u*q + 3/2 = 0. What is q?
2, 3
Let k(h) be the third derivative of -h**6/160 - h**5/10 + h**4/32 + h**3 + 20*h**2 + 2*h. Factor k(u).
-3*(u - 1)*(u + 1)*(u + 8)/4
What is q in 5*q**2 + 192*q + 1274 + 248*q + 3000 + 5406 = 0?
-44
Let r(p) = 5*p + 3. Let x(d) = -56*d - 32. Let f(s) = -68*r(s) - 6*x(s). Let g be f(-3). Factor -1/5*i**3 + g*i - 1/5*i**4 + 0 + 1/5*i**2 + 1/5*i**5.
i**2*(i - 1)**2*(i + 1)/5
Suppose 2*r + 0 = d - 13, 0 = 2*d + 2*r - 38. Suppose -5*p = 5*g + 10, 2*p = 2*g + 1 - d. Solve -3/2*i**2 - 3/2*i - 1/2 - 1/2*i**g = 0.
-1
Let d(c) be the first derivative of -c**6/2160 + c**5/240 + 2*c**3/3 + c**2 + 32. Let p(w) be the third derivative of d(w). Factor p(f).
-f*(f - 3)/6
Suppose -i - 3*i = -168. Let k be i/21 - (1 + -1). Solve -4*l**2 + 4*l**3 + 2*l - 13*l**4 - k*l**5 + 31*l**4 + 2 - 4*l - 16*l**4 = 0 for l.
-1, 1
Let x(p) be the second derivative of -4*p**5/25 + 2*p**4/5 - 3*p**3/10 + p**2/10 - 121*p. Factor x(s).
-(s - 1)*(4*s - 1)**2/5
Let x(j) be the third derivative of j**5/210 + j**4/12 + 2*j**3/7 + 9*j**2 + 4. Factor x(v).
2*(v + 1)*(v + 6)/7
Suppose 2*u - 4 = -0*o + 4*o, 2*u = -4*o + 4. Factor 2*r**2 + 4*r - 2*r**3 - u*r**2 - 2*r**3.
-4*r*(r - 1)*(r + 1)
Let f be 25/6 + 0 - 58/(-609)*-42. Suppose 7/6*r - f*r**4 + 0 - 7/6*r**3 + 1/6*r**2 = 0. What is r?
-7, -1, 0, 1
Let l be (-10)/(-56)*(-13)/(-260)*8. Let h(q) be the third derivative of 0 + 0*q**3 + 8*q**2 + 0*q - l*q**7 + 1/10*q**4 + 9/40*q**6 - 6/25*q**5. Factor h(i).
-3*i*(i - 1)*(5*i - 2)**2/5
Let c be 92/48 - (-125)/(-75). Solve 1/8*f**2 + c - 7/8*f**3 - 3/8*f**4 + 7/8*f = 0 for f.
-2, -1, -1/3, 1
Suppose 20*m - 69*m = -98. Factor -2/5*i**3 + 0*i + 6/5*i**m - 8/5.
-2*(i - 2)**2*(i + 1)/5
Let b(g) be the first derivative of -264*g**5/5 - 369*g**4/2 - 141*g**3 + 6*g**2 + 36*g - 846. Let b(r) = 0. What is r?
-2, -6/11, -1/2, 1/4
Let p(i) be the third derivative of -i**5/270 - 107*i**4/27 - 45796*i**3/27 - 3*i**2 - 99. Factor p(x).
-2*(x + 214)**2/9
Solve -96*h + 3*h**3 - 3*h**4 + 27*h**2 + 2 + 27*h**2 + 43 - 3*h**3 = 0 for h.
-5, 1, 3
Let i(d) = 9*d**2 + 0*d**3 + 7*d**3 - 11*d - 7 - 6*d**3. Let k be i(-10). Solve -y + 3*y**3 + 0*y + 2*y**2 - 4*y**k = 0 for y.
0, 1
Let x(u) = 3*u. Let l = 13 - 12. Let j be x(l). Factor -7*b**2 - 8*b**3 + 11*b**j + b**2.
3*b**2*(b - 2)
Suppose -10 - 3 - q - 11 + 22*q + 3*q**2 = 0. Calculate q.
-8, 1
Suppose 4*c + 6*f - 16 = 2*f, c + 3*f = -2. Suppose -c*h + 5 = 5. Factor -1/3*d**4 + 3*d + h - d**2 - 5/3*d**3.
-d*(d - 1)*(d + 3)**2/3
Let i be -4 - 76/(-18) - (44/(-18))/(-11). Find g such that 60*g**2 + 5/2*g**5 + 20*g**4 + 55*g**3 + i + 45/2*g = 0.
-3, -1, 0
Let g(h) = -h**2 - 29*h - 20. Let v(w) = -w**2 - 59*w - 38. Let r be 4 - (-34 - 2)/(-4). Let j(q) = r*g(q) + 2*v(q). Suppose j(f) = 0. Calculate f.
-8, -1
Factor 294 + 7*f - 3*f - 18*f + 29*f**2 - 7*f - 32*f**2.
-3*(f - 7)*(f + 14)
Suppose -252 + 252 = -4*n. Let x(k) be the first derivative of 1/6*k**3 - 1/10*k**5 + n*k + 1/2*k**2 + 12 - 1/4*k**4. Determine z, given that x(z) = 0.
-2, -1, 0, 1
Let q(b) be the first derivative of 0*b**2 - 5 - 1/30*b**5 + 0*b**3 - 1/18*b**4 + 3*b. Let m(l) be the first derivative of q(l). Find h, given that m(h) = 0.
-1, 0
Let l(j) be the second derivative of -1/126*j**7 - 1/30*j**5 + 0 + 1/72*j**4 + 0*j**2 + 0*j**3 + 1/36*