+ 1/8*u**6 + 0*u**4 + 1/112*u**8. Suppose x(g) = 0. What is g?
0, 1, 2
Solve 1880 + 20*d - 71538*d**2 + 71068*d**2 - 10*d**3 + 5*d**3 = 0.
-94, -2, 2
Let a(o) be the third derivative of o**5/30 - 31*o**4/12 - 32*o**3/3 - 179*o**2. Factor a(q).
2*(q - 32)*(q + 1)
Let h(l) be the third derivative of -2*l**7/35 - 41*l**6/30 - 28*l**5/3 + 16*l**2 - 109. Suppose h(u) = 0. Calculate u.
-7, -20/3, 0
Let n = 1040 - 319. Suppose 6*c - n - 497 = 0. Find m, given that -203 + 5*m**4 - m**5 + 10*m**3 + c - 4*m**5 = 0.
-1, 0, 2
Suppose -1221 = -0*g + 3*g. Let z = g + 412. Find k such that 3/5*k**3 + 0*k**4 - 3/5*k**z + 0*k**2 + 0 + 0*k = 0.
-1, 0, 1
Let x be (3/(-9))/(1526/140 + -11) - 5 - -5. Factor x*o**2 + 2/3*o**3 - 2/3*o**4 + 0 + 2*o.
-2*o*(o - 3)*(o + 1)**2/3
Let b(y) be the third derivative of y**6/1260 - 3*y**5/140 + y**4/6 + 53*y**3/6 - 4*y**2 + 1. Let g(a) be the first derivative of b(a). Factor g(n).
2*(n - 7)*(n - 2)/7
Let g(t) be the third derivative of -2*t**7/735 + 127*t**6/210 - 3968*t**5/105 - 2048*t**4/21 + 1602*t**2. Factor g(a).
-4*a*(a - 64)**2*(a + 1)/7
Let h(q) be the first derivative of -2 - 1/6*q**3 + 0*q**2 + 0*q. Factor h(c).
-c**2/2
Let h(d) be the first derivative of 5*d**4/4 - 295*d**3/3 - 3268. Solve h(y) = 0 for y.
0, 59
Let p(k) = 5*k**4 + 28*k**3 - 80*k**2 - 12*k. Let d(v) = -10*v**4 - 55*v**3 + 160*v**2 + 30*v. Let h(o) = 2*d(o) + 5*p(o). Factor h(n).
5*n**2*(n - 2)*(n + 8)
Factor -2/13*d**3 + 0 + 16*d**2 + 0*d.
-2*d**2*(d - 104)/13
Let u(c) = -94*c**4 + 622*c**3 - 1242*c**2 + 796*c - 104. Let l(n) = -21*n**4 + 138*n**3 - 276*n**2 + 177*n - 23. Let t(y) = 22*l(y) - 5*u(y). Factor t(b).
2*(b - 7)*(b - 1)**2*(4*b - 1)
Let b(o) be the second derivative of o**5/20 + 13*o**4/6 + 8*o**3 + 3*o + 31. What is s in b(s) = 0?
-24, -2, 0
Suppose -8 - 6/11*r**3 + 268/11*r**2 - 174/11*r = 0. Calculate r.
-1/3, 1, 44
Let o be -7 + 9 + (3 - 2 - (-2 - -1)). Let y(a) be the third derivative of 0*a - 10*a**2 - 16*a**3 + 0 - 1/90*a**5 - 2/3*a**o. Determine v, given that y(v) = 0.
-12
Let h(m) be the third derivative of m**7/140 + 17*m**6/80 - m**5/10 - 17*m**4/4 + 2*m**2 + 419. Find w such that h(w) = 0.
-17, -2, 0, 2
Factor -228 - 53*l + 90 + l**3 - 18*l + 68*l**2.
(l - 2)*(l + 1)*(l + 69)
Suppose 1645*q - 1614*q = 496. Let g(j) be the second derivative of -2/75*j**6 - q*j + 1/100*j**5 + 0*j**3 + 0*j**4 + 0 + 0*j**2. Factor g(x).
-x**3*(4*x - 1)/5
Let m(u) = 235*u**3 - 3845*u**2 + 100*u - 10. Let a(z) = z**3 - z**2 - 7*z - 1. Let o(h) = 10*a(h) - m(h). Determine p so that o(p) = 0.
0, 2/45, 17
Let g(v) be the first derivative of -121*v**4/6 + 506*v**3/9 - 56*v**2 + 24*v - 39. Determine x so that g(x) = 0.
6/11, 1
Factor 70*f**3 + 1961*f + 1612*f**2 + 1255*f - 18*f**3 - 23*f**3 - 27*f**3.
2*f*(f + 2)*(f + 804)
Find o such that -2*o**2 - 102*o + 1540 + 92*o - 288*o = 0.
-154, 5
Let q be -9 + 4 - (-3 + (0 - -2)). Let v(b) = 10*b**2 - 192*b + 65. Let c(f) = 5*f**2 - 96*f + 31. Let k(p) = q*v(p) + 9*c(p). Let k(s) = 0. What is s?
1/5, 19
Suppose -5*p - 2586*b = -2590*b + 28, 0 = 4*p + 5*b - 35. Find h, given that -2/23*h**3 + 0 + 2/23*h + p*h**2 = 0.
-1, 0, 1
Let l(u) be the third derivative of u**7/490 - u**6/70 + 3*u**5/140 + u**4/14 - 2*u**3/7 + 17*u**2 - 4. Determine k so that l(k) = 0.
-1, 1, 2
Find c such that -17*c**3 - 530*c**2 - 12 - 195*c + 5*c**2 + 52*c**3 + 362 + 11*c**4 + 4*c**4 = 0.
-7, -1, 2/3, 5
Let r = 2496/1201 + 36834/20417. Factor 2/17*d**2 - r*d + 64/17.
2*(d - 32)*(d - 1)/17
Let c be 276/54 + 3/(-27). Factor 3920 + c*b**3 - 2461*b + 108*b**2 - 171*b**2 + 6101*b - 212*b**2.
5*(b - 28)**2*(b + 1)
Let t(s) be the second derivative of -s**4/21 - 1220*s**3/21 - 174*s**2 - 12*s - 89. Factor t(q).
-4*(q + 1)*(q + 609)/7
Suppose -160*c + 136 = -124*c + 28. Let b(n) be the second derivative of 1/20*n**5 + 0 - 27*n + 3/2*n**c + 1/2*n**4 + 0*n**2. Solve b(p) = 0 for p.
-3, 0
Find d such that 1471*d**3 + 4*d**4 + 1044264*d**2 + 1628695 - 4219776*d - d**4 + 1839949 + 765388 + 2081*d**3 = 0.
-594, 2
Suppose 4*l - 2*q - q = 4, -2*l + 28 = 5*q. Factor 4*h**l + 2*h**3 + 13*h**3 - 8*h - 21*h**3 - 16*h**2 + 2*h**5.
2*h*(h - 2)*(h + 1)**2*(h + 2)
Let p = -3/59 + 163/885. Let y(i) be the third derivative of 4/75*i**5 - 14*i**2 + 1/150*i**6 + 0*i**3 + 0*i + p*i**4 + 0. Factor y(d).
4*d*(d + 2)**2/5
Suppose -7*b + 0 + 35 = 0. Suppose -b*h = -10 - 5. Determine q, given that -q**2 - q**3 + h*q + 3*q**3 - 5*q**2 + q = 0.
0, 1, 2
Let v(u) be the third derivative of u**8/252 + 34*u**7/315 + 43*u**6/45 + 112*u**5/45 - 4*u**2 + 24. What is f in v(f) = 0?
-8, -7, -2, 0
Let l be -1*(6/(-4) + 1/(-2)). Let t be (4 - (297/36 - 5))/(15/4). Let t*i**l + 6/5 - 7/5*i = 0. What is i?
1, 6
Suppose -26*x = -x - 50. Solve 95*j**2 + 4*j**x - 22*j - 2*j - 4 + 6*j**2 + 8*j = 0 for j.
-2/15, 2/7
Let y(f) = 7*f**2 + 55*f + 4. Let q be y(-8). Let k(x) be the first derivative of -2/3*x**2 + q + 2/9*x**3 + 2/3*x. Let k(i) = 0. What is i?
1
Let o(g) be the second derivative of -g**7/210 - g**6/25 + 19*g**5/50 - 2*g**4/5 - 37*g**3/30 + 3*g**2 + 949*g. Determine l so that o(l) = 0.
-10, -1, 1, 3
Let j = 104 - 102. Let c be 48/(-4) - ((-924)/36 - -7). Factor c*l**3 + 58/3*l**j + 64/3*l + 2/3*l**4 + 8.
2*(l + 1)**2*(l + 2)*(l + 6)/3
Let l(v) = 16*v**4 + 44*v**3 - 38*v**2 + 54*v - 6. Let k(j) = -2*j**4 - 8*j**3 + j**2 - j + 1. Let o(h) = -6*k(h) - l(h). Factor o(d).
-4*d*(d - 2)**2*(d + 3)
Let f = -1198731 + 1198743. Let 8/3*a**2 - f - 2/3*a**3 + 2*a = 0. Calculate a.
-2, 3
Let u be (-86)/(-12) + 6/(0 - 36) - 1. Let s(b) be the first derivative of -b**u + b**4 - 4 + 0*b**3 - 2/5*b**5 + 0*b**2 + 0*b. Factor s(k).
-2*k**3*(k + 1)*(3*k - 2)
Let h(m) be the third derivative of 1/170*m**6 + 0*m**3 + 0*m + 224*m**2 + 0*m**5 + 0*m**4 + 0 + 1/1785*m**7. Factor h(q).
2*q**3*(q + 6)/17
Let a(l) = -9*l**2 - 18*l + 9. Let d be (2/10*-6)/(4/10). Let q be 5*2/5 + d. Let b(u) = u**2 + u + 1. Let x(p) = q*a(p) + 3*b(p). Determine f so that x(f) = 0.
-2, 1/4
Let d(u) be the first derivative of -u**3/21 - 45*u**2/14 - 86*u/7 - 48. Factor d(i).
-(i + 2)*(i + 43)/7
Let n(c) be the first derivative of c**6/51 + 14*c**5/85 + 5*c**4/17 - 40*c**3/51 - 56*c**2/17 - 64*c/17 - 691. Solve n(u) = 0 for u.
-4, -2, -1, 2
Suppose -5*k - 45 = 0, -c + 2628 = c - k + 2615. Factor 0 - 78/5*y - 2/5*y**c.
-2*y*(y + 39)/5
Let p(m) be the second derivative of m**8/6720 - m**7/315 - 19*m**6/720 - m**5/12 + 79*m**4/3 - 3*m. Let h(o) be the third derivative of p(o). Factor h(x).
(x - 10)*(x + 1)**2
Let g = 2264/693 + -160/63. Let i(y) be the second derivative of g*y**2 + 4/11*y**3 + 0 + 28*y + 1/110*y**5 + 1/11*y**4. Find j, given that i(j) = 0.
-2
Let q(b) be the third derivative of -9*b**7/28 - 85*b**6/16 - 41*b**5/9 - 5*b**4/4 + 6*b**2 + 28*b. Factor q(u).
-5*u*(u + 9)*(9*u + 2)**2/6
Let x(q) be the third derivative of 0*q**4 + 55*q + 0*q**3 - 1/630*q**7 - 1/60*q**5 - 1/90*q**6 + 0 - q**2. Let x(l) = 0. Calculate l.
-3, -1, 0
Suppose 4*h**2 + 2*h**4 + 30*h**3 - 2*h**2 - 54*h + 6*h**2 + 13*h**2 + h**4 = 0. What is h?
-9, -2, 0, 1
Let -1/2*l**2 + 427*l - 182329/2 = 0. Calculate l.
427
Let k be ((-52)/3 - (24 - 28))/((-206)/309). Factor -4/5*y**2 - k - 8*y.
-4*(y + 5)**2/5
Suppose 6*n = 347 - 239. Let k be 1/(-6)*(n + -22). Factor 2/3*h**3 + 0*h + 0*h**2 + 0 - k*h**5 + 0*h**4.
-2*h**3*(h - 1)*(h + 1)/3
Factor -2/7*p**2 - 78408/7 - 792/7*p.
-2*(p + 198)**2/7
Let i(g) be the second derivative of g**5/20 + g**4/3 + 5*g**3/6 + 2*g**2 + 33*g. Let d be i(-2). Factor -2*t**3 + 3*t**2 + 6*t + t**3 - d*t.
-t*(t - 4)*(t + 1)
Suppose 20*d + 19 = 21*d. Suppose -d*f + 24*f - 15 = 0. Determine v, given that -69*v**2 - 54*v**2 + f - 21*v + 159*v**2 = 0.
1/4, 1/3
Let h(q) = 4*q**3 + 3584*q**2 + 7138*q + 3562. Let b(g) = -6*g**2 - 3*g + 1. Let s(z) = -2*b(z) - h(z). Factor s(v).
-4*(v + 1)**2*(v + 891)
Let r(o) be the first derivative of o**3/2 - 42*o**2 + 576*o + 3192. Suppose r(t) = 0. What is t?
8, 48
Let g be (-9)/(972/(-564)) - 2/9. Let y be (-252)/(-36) + -1*g. Factor 3/7 - 4/7*i + 1/7*i**y.
(i - 3)*(i - 1)/7
Let p(t) be the first derivative of -4*t**5/5 + 7*t**4 - 16*t**3/3 - 24*t**2 - 847. Solve p(v) = 0.
-1, 0, 2, 6
Let p be ((1/(-4))/((-483)/(-138)))/(-5). Let v(q) be the second derivative of -1/21*q**3 + p*q**5 - q - 2/7*q*