/(8/1631) + 141/564. Let d = 408 - c. Factor 4/5*x + d - 2/5*x**2 - 2/5*x**3.
-2*x*(x - 1)*(x + 2)/5
Let o(c) = c**2 - 659*c + 18872. Let t be o(30). Let 81/5*z**t + 3/5*z**4 + 0 + 9*z**3 + 39/5*z = 0. What is z?
-13, -1, 0
Suppose 0 = -139*h + 285*h. Find n, given that 10/9*n**2 + h - 4/3*n - 2/9*n**3 = 0.
0, 2, 3
Let i(y) = y + 1. Let l(z) = -z**3 - 4*z**2 - 18*z + 6 + 5*z**3 - 16. Let s = -57 - -56. Let n(f) = s*l(f) - 10*i(f). Suppose n(p) = 0. What is p?
-1, 0, 2
Let q(v) be the second derivative of -v**5/90 + 209*v**4/54 + 421*v**3/27 + 211*v**2/9 - 3040*v. Suppose q(g) = 0. Calculate g.
-1, 211
Let b(l) be the second derivative of 0 - 5/16*l**4 + 3/80*l**5 - 1/8*l**3 - 7*l + 15/8*l**2. Determine f so that b(f) = 0.
-1, 1, 5
Suppose 254673*k - 254503*k = 340. Determine v so that -16/5*v - 31/10*v**k - 3/10*v**3 + 18/5 = 0.
-9, -2, 2/3
Factor -109*h**3 - 130*h - 4160*h - 685*h**2 + 89*h**3 - 824*h - 836*h - 1445.
-5*(h + 17)**2*(4*h + 1)
Let h be ((-16)/(-3) - 4)*6. What is u in -3*u**3 + h*u**3 + 16*u**2 - 13*u**2 - 8*u**4 = 0?
-3/8, 0, 1
Let u be (-3 - 1) + ((-8)/(-1))/2. Let a be (26/(-65) + u)*-5. Factor 1/3 - 1/6*d**4 + 1/2*d**a - 1/6*d**3 + 5/6*d.
-(d - 2)*(d + 1)**3/6
Let v = 26 - 24. Suppose 5*h + 0*h - 20 = 0. Solve r + 93*r**v + 2*r - h*r - 92*r**2 = 0.
0, 1
Let q be (-28938)/3822 + 10/(-14) - -10. Find i, given that 15/7*i - q*i**2 - 9/7*i**3 + 6/7 = 0.
-2, -1/3, 1
Suppose -r = 2*l + 8, 5*l + 5*r = -5*r - 110. Suppose -188/3 - 466/3*a + 10/3*a**l = 0. Calculate a.
-2/5, 47
Let a(b) be the second derivative of b**7/42 - b**6/90 - 7*b**5/20 - 11*b**4/36 + b**3/3 - 1397*b. Determine z so that a(z) = 0.
-2, -1, 0, 1/3, 3
Factor 4 + 81 - 5 - s**2 + 21*s + 2*s**2 + 28.
(s + 9)*(s + 12)
Let g(d) be the first derivative of 68/5*d**2 + 66 - 38/15*d**3 + 2/25*d**5 - 1/5*d**4 - 24*d. Factor g(x).
2*(x - 3)*(x - 2)**2*(x + 5)/5
Let d(c) be the third derivative of 1/16*c**4 + 0*c + 1/560*c**7 - 1/80*c**6 - 1/4*c**3 + 3/160*c**5 + 3*c**2 + 1. Let d(i) = 0. What is i?
-1, 1, 2
Let y(s) be the second derivative of 6*s**5/5 - 35*s**4/6 + 34*s**3/3 - 11*s**2 + s - 440. What is q in y(q) = 0?
11/12, 1
Let d(j) be the first derivative of 0*j - 4/5*j**5 + 3/4*j**4 - 2*j**2 - 59 + 4/3*j**3 + 1/6*j**6. Factor d(p).
p*(p - 2)**2*(p - 1)*(p + 1)
Let l(r) = 7*r**2 + 10*r + 36. Let v be l(0). Let n(a) be the third derivative of 0 + 0*a**3 - v*a**2 - 1/72*a**4 + 1/360*a**5 + 0*a. Factor n(o).
o*(o - 2)/6
Let s(h) be the first derivative of -8*h**2 - 8 - 4/3*h**3 - 16*h. Let s(k) = 0. What is k?
-2
Let w(k) be the second derivative of k**5/270 - k**4/54 - 41*k**2 - k - 93. Let r(h) be the first derivative of w(h). Determine z so that r(z) = 0.
0, 2
Let t be 1*((-2)/4)/((-2431)/110 + 22). Factor 1/2*b**t + 17*b**3 + 5*b**4 + 5 + 37/2*b + 26*b**2.
(b + 1)**3*(b + 2)*(b + 5)/2
Let f = 657 + -483. Determine u so that -58 - 9*u**2 - 13 - f*u + 14 = 0.
-19, -1/3
Let b be 9*(-154)/363 - (-2)/(-11). Let i be 1 - b - (-330)/(-210). What is u in i*u**2 - 18/7*u - 6/7*u**3 + 0 = 0?
0, 1, 3
Let f(q) be the second derivative of -q**6/21 - 6*q**5/35 + 271*q**4/42 + 130*q**3/7 + 16*q**2 + 6*q - 107. Solve f(p) = 0 for p.
-8, -1, -2/5, 7
Let u(p) be the first derivative of -2*p**3/45 + 1178*p**2/15 - 693842*p/15 - 11228. Factor u(b).
-2*(b - 589)**2/15
Let f(s) be the third derivative of -s**6/660 + 23*s**5/330 - 31*s**4/33 + 64*s**3/11 - 12766*s**2. Find m such that f(m) = 0.
3, 4, 16
Factor -36/11*o + 0 + 9/11*o**2 + 1/11*o**3.
o*(o - 3)*(o + 12)/11
Let a(m) = -m**3 + m**2 - 10*m - 12. Let f(k) be the second derivative of -k**4/6 - k**3/6 + k**2/2 + 14*k. Let s(x) = a(x) + 4*f(x). Let s(n) = 0. Calculate n.
-4, -2, -1
Let t(z) be the second derivative of z**6/72 + z**5/12 + 5*z**4/24 + 139*z**3/6 + 11*z + 3. Let d(u) be the second derivative of t(u). Factor d(x).
5*(x + 1)**2
Suppose 0 = 605*u - 510*u. Let i(p) be the first derivative of -2 + u*p + p**3 - 1/6*p**6 + 5/4*p**4 - 3/5*p**5 - 2*p**2. Factor i(f).
-f*(f - 1)**2*(f + 1)*(f + 4)
Let b(c) be the first derivative of 0*c**2 - 3/2*c**4 + 1/2*c**6 + 11/5*c**5 - 93 - 8/3*c**3 + 0*c. Factor b(k).
k**2*(k - 1)*(k + 4)*(3*k + 2)
Factor 5852/3*f - 4280738/3 - 2/3*f**2.
-2*(f - 1463)**2/3
Let s(u) = -15*u**4 + 35*u**3 + 110*u**2 - 320*u - 650. Let l(i) = 7*i**4 - 18*i**3 - 56*i**2 + 160*i + 324. Let k(b) = 5*l(b) + 2*s(b). Factor k(j).
5*(j - 4)**2*(j + 2)**2
Suppose 0 = -11*m + 21*m - 110. Let w = 14 - m. Suppose -h**5 + 2*h**2 - 25*h**4 + 11*h**5 - 60*h**w + 6*h + 14*h - 7*h**2 = 0. What is h?
-1, 0, 1/2, 4
Solve -118/9*h**4 + 166/9*h**3 - 14/3*h**2 - 2/3*h**5 + 0 + 0*h = 0.
-21, 0, 1/3, 1
Let -265*d**3 + 25/3*d**5 - 200 - 490/3*d**2 + 1820/3*d + 40/3*d**4 = 0. What is d?
-6, -2, 2/5, 1, 5
Suppose -489*r + 394*r + 45 = -145. Let 8/7*a - 10/7*a**3 + 2/7*a**5 + 2/7*a**4 - 10/7*a**r + 8/7 = 0. Calculate a.
-2, -1, 1, 2
Let s be (-80)/(-15)*(-11)/((-616)/3). Factor 18/7*o - 54/7 - s*o**3 + 6/7*o**2.
-2*(o - 3)**2*(o + 3)/7
Determine a so that 108 - 3/5*a**2 + 123/5*a = 0.
-4, 45
Find a, given that 5835*a**2 + 19*a - 10*a**4 - 12*a**3 - 5*a - 2*a**5 - 5831*a**2 + 6 = 0.
-3, -1, 1
Factor -96321*c + 24468*c**2 - 276768 - 183423*c - 752*c**3 - 96644*c**2 - 2*c**4.
-2*(c + 2)**2*(c + 186)**2
Let c(m) be the first derivative of m**6/21 - 12*m**5/5 + 481*m**4/14 - 80*m**3 + 400*m**2/7 - 3396. Factor c(i).
2*i*(i - 20)**2*(i - 1)**2/7
Let h be (3*2/6)/(8 + -2 + -4). Let s(f) be the second derivative of -h*f**3 + 3/20*f**5 + 9/4*f**2 - 1/3*f**4 - 1/60*f**6 + 4*f + 0. Factor s(m).
-(m - 3)**2*(m - 1)*(m + 1)/2
Let w(f) = 9*f**4 - 115*f**3 - 2*f**2 + 118*f - 22. Let u(n) = 9*n**4 - 116*n**3 + 118*n - 19. Let d(y) = -3*u(y) + 2*w(y). Suppose d(q) = 0. Calculate q.
-1, 1/9, 1, 13
Let i(a) be the first derivative of 5*a**6/2 - 253*a**5 - 435*a**4/2 + 1690*a**3/3 + 855*a**2/2 - 425*a - 5264. Find v, given that i(v) = 0.
-1, 1/3, 1, 85
Let x = -25349/42 - -4226/7. Let q(g) be the first derivative of 1/9*g**3 - 1/30*g**5 + 0*g**4 + 0*g**2 - 4 - x*g. Factor q(w).
-(w - 1)**2*(w + 1)**2/6
Let p(x) be the second derivative of 1/18*x**3 - 1/60*x**5 + 1/36*x**4 + 0 - 1/90*x**6 - 217*x + 0*x**2. Determine l so that p(l) = 0.
-1, 0, 1
Let r be 3 - ((-83697)/60 + 48/64). Let x = -1397 + r. Factor -1/5 + 0*t + x*t**2.
(t - 1)*(t + 1)/5
Let g be 3/12 - 35/4*-9. Let w = -75 + g. Factor -21 - w*l**3 + 17*l**2 - 44*l + 15*l**2 + 45 - 8*l**2.
-4*(l - 3)*(l - 2)*(l - 1)
Let b be (-1785)/140 + (-39)/(-3). Let h = -41 + 43. Factor 3/2 - b*g**h - 1/4*g.
-(g - 2)*(g + 3)/4
Let j(n) be the second derivative of -3*n**5/20 + 2*n**4 + 31*n**3/2 + 33*n**2 + 73*n. What is d in j(d) = 0?
-2, -1, 11
Let b be (12/30)/((-2)/(-10)). Factor -240*h + 3*h**2 - 3600 - 6*h**b - h**2.
-4*(h + 30)**2
Let s be ((2/(-63))/(6/36))/((-2864)/4296). Solve -30/7*i**2 - 250/7 - s*i**3 - 150/7*i = 0 for i.
-5
Suppose -4*q + 13 = -y, -68 + 48 = 4*y. Let l(n) be the second derivative of 0 - 8/3*n**q - 1/36*n**4 + 33*n - 4/9*n**3. Factor l(z).
-(z + 4)**2/3
Let t(f) be the first derivative of 15*f**4/4 + 98*f**3 + 420*f**2 - 384*f - 616. Factor t(d).
3*(d + 4)*(d + 16)*(5*d - 2)
Let j(l) be the third derivative of 0*l + 0*l**4 + 82*l**2 + 0*l**3 + 1/15*l**5 + 0. Suppose j(f) = 0. Calculate f.
0
Solve 32/7*f - 2/7*f**4 - 12/7*f**2 + 0 - 18/7*f**3 = 0 for f.
-8, -2, 0, 1
Let r(l) be the second derivative of -l**6/75 + l**5/10 + 13*l**4/30 + 7*l**3/15 + 8*l + 10. Find b, given that r(b) = 0.
-1, 0, 7
Let u(a) be the second derivative of a**9/1008 - a**8/168 - 5*a**4/3 + 33*a - 1. Let n(k) be the third derivative of u(k). Find h, given that n(h) = 0.
0, 8/3
Let p(s) be the second derivative of -5/18*s**4 - 1/45*s**6 + 2/9*s**3 - 2*s + 48 + 0*s**2 + 2/15*s**5. Factor p(o).
-2*o*(o - 2)*(o - 1)**2/3
Suppose 24/13*a**5 + 58/13*a**4 - 16/13*a - 8/13*a**3 - 66/13*a**2 + 8/13 = 0. Calculate a.
-2, -1, -2/3, 1/4, 1
Let a(z) be the third derivative of -z**7/42 - 29*z**6/24 - 56*z**5/3 - 245*z**4/6 - 4886*z**2. Determine b so that a(b) = 0.
-14, -1, 0
Let k(h) be the third derivative of -h**6/40 + h**5/4 + 7*h**4/4 - 36*h**2 + 30. Factor k(l).
-3*l*(l - 7)*(l + 2)
Let q(h) = h**2 + 205*h - 3298. Let f be q(-220). Factor 2/7*m**f + 722/7 - 76/7*m.
2*(m - 19)**2/7
Factor 15*h - 87*h**2 + 224 - 10*h