Determine a, given that c(a) = 0.
-4, -3, -1
Let u(r) be the first derivative of -r**5/20 + 73*r**4/12 - 1295*r**3/6 - 1369*r**2/2 - 85*r + 134. Let q(p) be the first derivative of u(p). Solve q(o) = 0.
-1, 37
Let h(g) be the second derivative of g**4/4 - 17*g**3/6 - 17*g**2/2 - 5*g - 7. Let s be h(-1). Find b such that -1/4*b + 0 - 1/4*b**2 + 1/4*b**s + 1/4*b**4 = 0.
-1, 0, 1
Let y = 4665 - 4464401/957. Let h = 2887/3828 - y. Solve 0 + h*r**2 - 21/4*r = 0.
0, 7
Let q(g) be the third derivative of g**7/2520 + 13*g**6/720 - 59*g**4/12 + 130*g**2. Let d(w) be the second derivative of q(w). Let d(a) = 0. Calculate a.
-13, 0
Factor 392/13 - 2/13*i**2 - 42/13*i.
-2*(i - 7)*(i + 28)/13
Suppose -2*a + 47 = -5*b - 388, -5*a + 5*b + 1095 = 0. Let d be 708/a + -1 - 10/(-55). Factor d*x - 2/5*x**2 - 18/5.
-2*(x - 3)**2/5
Let u = 522 + -231. Suppose -8*f - u = -4323. Find o, given that 735*o**3 - 12 - f*o**2 + 132*o - 1029/4*o**4 = 0.
2/7, 2
Let w(t) = t**4 - 81*t**3 + 1433*t**2 + 5053*t - 2. Let x(a) = 4*a**4 - 325*a**3 + 5731*a**2 + 20217*a - 9. Let k(c) = 18*w(c) - 4*x(c). Factor k(b).
2*b*(b - 41)**2*(b + 3)
Suppose -68/7*f**2 + 2/7*f**3 + 418/7*f + 2888/7 = 0. What is f?
-4, 19
Factor 333661 - y**2 + 2*y**2 - 169804 + 305*y + 882672 + 1741*y.
(y + 1023)**2
Suppose 4*r = 3*p + 3 - 15, -2*r = -p + 4. Let x be (4/(-1))/(-4)*0. Suppose -1/4*n**3 + r - 1/4*n**2 + x*n = 0. What is n?
-1, 0
Let z be (3/(-4))/(((-1584)/(-315) - 5)*85/(-34)). Find r such that 0*r + 0 - 3*r**2 - 15/2*r**4 - z*r**3 = 0.
-1, -2/5, 0
Let k = 828 + -852. Let y be ((-6)/(-8))/((-276)/k - 10). Solve 3/2*f**2 + y*f - 1/2*f**3 - 1 - 1/2*f**4 = 0 for f.
-2, -1, 1
Factor -320/3 - 1/3*r**2 + 28*r.
-(r - 80)*(r - 4)/3
Let s(i) = -87*i**4 - 87*i**3 + 232*i**2 - 38*i - 22. Let k(g) = -43*g**4 - 43*g**3 + 116*g**2 - 24*g - 12. Let t(f) = 11*k(f) - 6*s(f). Factor t(l).
l*(l + 2)*(7*l - 9)*(7*l + 2)
Let x be ((-132)/32 + 4)*(82 + -41 + -44). Factor 3/8*z**3 + 0 - x*z + 0*z**2.
3*z*(z - 1)*(z + 1)/8
Suppose -32*k + 27*k + 11 = 3*f, 2 = 2*k. Let -6/5*g**f + 2/5*g**4 + 14/15*g**3 - 14/15*g + 4/5 = 0. What is g?
-3, -1, 2/3, 1
Let o be 24/6 - -4 - (6 - 3). Suppose -2*z**4 + 26*z**3 - o*z - 8*z**3 + 5*z = 0. Calculate z.
0, 9
Let m = -12350/7 - -26148/35. Let b = m - -1018. Solve -b*i**3 + 36/5*i + 12/5*i**2 - 108/5 = 0 for i.
-3, 3
Let i be (-12)/(-9)*2/(-64)*(-942)/157. Factor 0 - 11/4*f**3 + i*f**4 - 13/4*f - 25/4*f**2.
f*(f - 13)*(f + 1)**2/4
Let g(d) be the first derivative of 36/7*d + 6/7*d**2 - 77 + 1/21*d**3. Determine f, given that g(f) = 0.
-6
Let b(d) be the third derivative of -d**7/525 + 317*d**6/75 - 89253*d**5/25 + 1252503*d**4 + 25228989*d**3/5 + 2*d**2 - 58*d + 7. Factor b(h).
-2*(h - 423)**3*(h + 1)/5
Let o(k) be the third derivative of k**10/604800 - k**8/80640 + 11*k**5/12 - 7*k**2 + 2. Let u(h) be the third derivative of o(h). Factor u(v).
v**2*(v - 1)*(v + 1)/4
Factor 6162247 - 6162247 - 124*p + 4*p**2.
4*p*(p - 31)
Let t(z) = 41*z**2 - 305*z - 132. Let i(b) = -208*b**2 + 1524*b + 664. Let d(m) = -3*i(m) - 16*t(m). Factor d(q).
-4*(q - 10)*(8*q + 3)
Let g(f) = 21*f**3 + 97*f**2 + 67*f + 60. Let c be g(-4). Factor 1/2*a**2 + c - 39/2*a.
a*(a - 39)/2
Factor 17/2*g - 3 - 5/2*g**2.
-(g - 3)*(5*g - 2)/2
Let x be (-40)/6 - (-36 - (-72 + 46)). Factor -x + 23/3*p - 5/3*p**2 - 2/3*p**3.
-(p - 2)*(p + 5)*(2*p - 1)/3
Suppose 0 = 48*t - 29*t + 114. Let w be (15 - (t - -12)) + -9. Factor 2/5*x**4 + 0*x**2 + 0 + 0*x + w*x**3 + 1/5*x**5.
x**4*(x + 2)/5
Let q(c) be the third derivative of -c**6/45 + 13*c**5/30 - 7*c**4/2 + 155*c**3/3 + 301*c**2. Let k(w) be the first derivative of q(w). Factor k(j).
-4*(j - 3)*(2*j - 7)
Let y(o) be the first derivative of 5/7*o**2 + 121 - 2/21*o**3 + 0*o. Factor y(p).
-2*p*(p - 5)/7
Let c(s) be the second derivative of -3/5*s**5 + 2*s**3 + 3/4*s**4 + 1/10*s**6 + 109*s - 6*s**2 + 0. Find k such that c(k) = 0.
-1, 1, 2
Let a(c) be the second derivative of 2/5*c**3 + 0 - 7/50*c**5 - 1/75*c**6 + 1/105*c**7 + 0*c**2 + 1/30*c**4 + 55*c. Solve a(m) = 0 for m.
-2, -1, 0, 1, 3
Let q(b) = -3*b - 3*b + 0*b - 10. Let j(g) = g + 2. Let z be j(-9). Let r(i) = i**2 + 17*i + 30. Let m(n) = z*q(n) - 2*r(n). Factor m(k).
-2*(k - 5)*(k + 1)
Let h(k) be the first derivative of -25/12*k**2 - 10/9*k**3 - 5/24*k**4 - 19 - 5/3*k. Factor h(u).
-5*(u + 1)**2*(u + 2)/6
Suppose c**2 - 2/3*c - 1/3*c**3 + 0 = 0. What is c?
0, 1, 2
Suppose -38 + 2 = -6*z. Factor 357*t + 3*t**5 - 48*t**2 + 82 + 14 - 309*t - 24*t**3 + z*t**4.
3*(t - 2)**2*(t + 2)**3
Find s, given that -1486 - 1514*s + 826*s - 53*s - 213*s**2 + 214*s**2 = 0.
-2, 743
Let s be (-1 - ((-21)/2 + 3/2))*(-12)/(-336). Factor s*b**3 + 0 + 4/7*b - b**2 + 1/7*b**4.
b*(b - 1)**2*(b + 4)/7
Let s(v) be the first derivative of 12*v**5/5 - 123*v**4/4 + 46*v**3 - 27*v**2/2 - 3376. Find z, given that s(z) = 0.
0, 1/4, 1, 9
Let v(p) be the third derivative of 9*p**7/70 + 53*p**6/20 - 33*p**5/20 - 53*p**4/4 + 12*p**3 + 5*p**2 - 10*p. Find i, given that v(i) = 0.
-12, -1, 2/9, 1
Let o(v) be the first derivative of -22*v**5/35 - 79*v**4/14 - 90*v**3/7 - 11*v**2 - 20*v/7 + 7593. Suppose o(j) = 0. Calculate j.
-5, -1, -2/11
Let l(a) be the third derivative of a**5/390 - 53*a**4/52 - 160*a**3/39 + 34*a**2 + 6. Suppose l(g) = 0. What is g?
-1, 160
Let d(w) be the first derivative of -4*w**3/3 - 1504*w**2 - 565504*w - 663. Solve d(g) = 0.
-376
Let d(k) = 4*k**2 + 20*k + 16. Let o(l) = 5*l**2 + 21*l + 16. Suppose 5*j - 13*j = 48. Let c(a) = j*d(a) + 4*o(a). Factor c(v).
-4*(v + 1)*(v + 8)
Let y(m) be the third derivative of 11/12*m**4 + 0 - 1/30*m**5 - 9*m**2 - 7*m + 0*m**3. Solve y(o) = 0 for o.
0, 11
Let z be 2 - 14/8 - 9/4. Let h be ((-6)/(-15))/(z/(-10)). Factor 2*v**h - 28 + 6 - 4*v + 11 + 13.
2*(v - 1)**2
Let u(o) be the second derivative of -o**6/720 + o**5/60 - 8*o**3/9 - 19*o**2/2 - 14*o - 2. Let r(h) be the first derivative of u(h). Factor r(l).
-(l - 4)**2*(l + 2)/6
Let g(v) be the first derivative of -2*v**5/55 - 31*v**4/22 + 2*v**3 + 31*v**2/11 - 64*v/11 + 4512. Solve g(k) = 0 for k.
-32, -1, 1
Let c(m) be the third derivative of -94*m**2 - 10/21*m**7 - 14/15*m**6 + 14/3*m**4 + 2*m**3 - 1 + 0*m + 22/15*m**5. Solve c(q) = 0.
-1, -3/25, 1
Factor 810 - 1132*w + 25*w**2 + 1921*w - 2154*w.
5*(w - 54)*(5*w - 3)
Let g(y) be the third derivative of 12/7*y**4 + 4/105*y**6 + 80/21*y**3 + 44/105*y**5 - 8 + 0*y - 1/1176*y**8 - 2*y**2 - 1/245*y**7. Factor g(q).
-2*(q - 5)*(q + 2)**4/7
Suppose -4*j - 7 = 3*r - 8, -3*r = -j - 11. Let p be ((-8)/(-120)*6)/(j/(-20)). Let 0 + 18/7*b - 3/7*b**p + 3*b**2 + 0*b**3 = 0. Calculate b.
-2, -1, 0, 3
Let u be (336/35 + -9)/(2/20). Let k be (16/u)/2*25/100. Find n, given that 4/3*n - 8/3*n**2 + 0 + 5/3*n**3 - k*n**4 = 0.
0, 1, 2
Suppose -2078 + 2246 = 84*y. Factor 3/7*u**3 - 45/7*u**y + 729/7 + 81/7*u.
3*(u - 9)**2*(u + 3)/7
Let o(z) be the second derivative of 0*z**2 + 7/12*z**3 + z + 4 + 1/24*z**4. Let o(a) = 0. What is a?
-7, 0
Let 1639*x + 1050*x**2 + 947 + 3517 + 50*x**2 - 4*x**3 + 2809*x = 0. What is x?
-2, 279
Suppose -5*m + 3*m + 4 = 0. Suppose -m*s + 23 = 3. Let -n**2 + 10 + 5*n - s*n**2 + 6*n**2 = 0. Calculate n.
-1, 2
Let b(h) be the second derivative of 0*h**3 + 12/5*h**5 + 0*h**4 + 2*h + 22/15*h**6 - 10 - 2/21*h**7 + 0*h**2. Factor b(f).
-4*f**3*(f - 12)*(f + 1)
Let g be -8 + 13875/1983 - -1. Let z = g - -3309/1322. Factor 5*x**3 + 0*x + 1/4 - z*x**2 + x**5 - 15/4*x**4.
(x - 1)**4*(4*x + 1)/4
Suppose -1/5*c**4 + 19 - 204/5*c + 122/5*c**2 - 12/5*c**3 = 0. What is c?
-19, 1, 5
Let s(l) = 3*l**4 + 25*l**3 - 3*l**2 - 4*l. Let g(b) = -b**5 - 3*b**4 - 27*b**3 + 3*b**2 + 4*b. Let v(d) = -7*g(d) - 8*s(d). Factor v(j).
j*(j - 1)**2*(j + 1)*(7*j + 4)
Suppose 5 - 1 = 4*r + 2*j, 5*r + 4*j = 2. Let b be (-20)/70 - 40/(-42). Solve 2*g - 4/3 + b*g**4 - r*g**3 + 2/3*g**2 = 0 for g.
-1, 1, 2
Let x(f) be the first derivative of f**6/25 - f**5/25 - 2*f**4/9 - 8*f**3/45 + 15*f - 28. Let a(v) be the first derivative of x(v). Factor a(y).
2*y*(y - 2)*(3*y + 2)**2/15
Let l(i) be the second derivative of -i**6/10 + 3*i**5/4 - 7*i**4/4 + 3*i**3/2 + 1063*i. Let l(v) = 0. What is v?
0, 1, 3
Let o(d) be the third derivative of -50*d**2 + 0 + 8/25*d**5 + 6/5*d**3 + 1/25*d**6 + 13/15*d**4 - 2/525*d**7 + 0*d. Determine q, given t