 be the second derivative of i**4/6 + 1858*i**3/3 + 863041*i**2 - 326*i. Suppose s(z) = 0. Calculate z.
-929
Suppose 5*l - 22 = 2*d, l - 15 = -2*l + 3*d. Let 12*c**5 - 16*c**2 + 4*c**l + 16*c**3 + 2*c**2 - 2*c**2 - 16*c**5 = 0. Calculate c.
-2, 0, 1, 2
Let k(r) be the third derivative of -r**5/40 - 35*r**4/8 + 219*r**3/4 + 2044*r**2. Factor k(f).
-3*(f - 3)*(f + 73)/2
Let m be 8 - ((-672)/(-132) + (-3)/33). Let g(h) be the second derivative of -9*h - 1/25*h**5 + 0 + 1/30*h**4 + 0*h**2 + 2/15*h**m - 1/75*h**6. Factor g(d).
-2*d*(d - 1)*(d + 1)*(d + 2)/5
Suppose 3*g + 15 = 3*u, 0 = 16*g - 17*g - 2*u + 22. Factor 9/7*x + 24/7*x**2 + 0*x**g + 0 - 3/7*x**5 + 18/7*x**3.
-3*x*(x - 3)*(x + 1)**3/7
Solve 1/3*m**3 + 62*m**2 + 238328/3 + 3844*m = 0.
-62
Let c(o) = -o**3 + 12*o**2. Let y be 2 + 2 + -1 - (-4 + -5). Let m be c(y). Factor u + m*u + 3*u**2 - 10*u**2 - 3*u.
-u*(7*u + 2)
Let b be ((-24)/654)/((-136)/7412). Factor -8/3*m**b - m**3 + 0 + m.
-m*(m + 3)*(3*m - 1)/3
Let h(c) be the first derivative of 260*c + 90*c**2 + 25/3*c**3 + 60. Suppose h(a) = 0. What is a?
-26/5, -2
Let b(v) be the first derivative of -4*v**3/3 - 3580*v**2 - 3204100*v + 1155. Factor b(t).
-4*(t + 895)**2
Suppose 96 = r + 7*r. Suppose 0 = -6*w + r + 12. Find d, given that 15*d**4 - 96*d - d**5 + 12*d**3 + 37*d**2 + w*d**5 + 14*d**2 - 48 - 99*d**2 = 0.
-2, -1, 2
Let x be (-713 - -646) + (-3807)/(-36). Solve 5/4*y**2 + x*y + 0 = 0 for y.
-31, 0
Let h(a) be the second derivative of 1/3*a**3 + 1/30*a**4 + 4*a - 1/5*a**2 - 1/10*a**5 + 2. Find c such that h(c) = 0.
-1, 1/5, 1
Let y(c) = -c**2 + 9*c - 12. Let k be y(7). Suppose -2 = k*n - j - 10, -10 = -2*n + 2*j. Let 15*q + 18*q + 3*q**2 - 9*q - 9*q**n - 4 + 16 = 0. Calculate q.
-1, -2/3, 2
Let y(t) be the first derivative of -t**6/180 + 13*t**5/10 - 507*t**4/4 - 7*t**3/3 + 10*t**2 + 100. Let a(m) be the third derivative of y(m). Factor a(s).
-2*(s - 39)**2
Let s(k) be the third derivative of -25*k**8/112 - 29*k**7/42 + 17*k**6/24 + 29*k**5/12 - 5*k**4/12 + 2*k**2 + 500*k. Find h, given that s(h) = 0.
-2, -1, 0, 1/15, 1
Let s(g) be the third derivative of 0 - 54*g**2 - 8*g**3 - 7/6*g**4 + 0*g - 1/15*g**5. Factor s(a).
-4*(a + 3)*(a + 4)
Let i(y) = -y**2 + 40*y + 229. Let f be i(45). Let z be 0/((f + -6)*-1). Factor z - 3/4*x**3 - 1/2*x**2 + 0*x - 1/4*x**4.
-x**2*(x + 1)*(x + 2)/4
Factor 327 - 2*u**2 - 3*u**2 + 944*u - 333 - 364*u - 569.
-5*(u - 115)*(u - 1)
Let u(i) be the second derivative of -5*i**4/84 - 1574*i**3/21 + 90*i**2 - 162*i + 22. Solve u(f) = 0.
-630, 2/5
Suppose 20 = -2*i + 12*i. Find m, given that -3*m**5 - 8*m + 6*m**3 - 14*m**4 + i*m**5 + m**2 + 3*m**2 + 13*m**4 = 0.
-2, 0, 1, 2
Determine i so that 510/7 + 3/7*i**2 + 81/7*i = 0.
-17, -10
Let d(b) be the first derivative of b**3 - 273*b**2 + 543*b + 3480. Find r such that d(r) = 0.
1, 181
Let q(b) = -2*b**2 - b + 3. Let a(h) = h**3 - 12*h**2 + 11*h. Let o be a(11). Let j be q(o). Factor -11*f + 0*f**2 + 3*f + 8*f**2 - 2*f**j.
-2*f*(f - 2)**2
Let v(u) be the third derivative of u**5/20 + 5*u**4/8 - 63*u**3 - u**2 - 5*u + 9. Factor v(r).
3*(r - 9)*(r + 14)
Suppose -146*s = -147*s - 60. Let b be (-40)/s - 14/30. Factor -b*q**3 + 0*q**2 + 3/5*q + 2/5.
-(q - 2)*(q + 1)**2/5
Solve -28*u**2 - 37*u**2 + 372 + 64*u**2 + 11*u - 30*u = 0.
-31, 12
Factor 2166/5*t + 13718/5 + 2/5*t**3 + 114/5*t**2.
2*(t + 19)**3/5
Let m(x) be the second derivative of x**4/8 - 58*x**3 + 10092*x**2 + 10162*x - 1. Find w, given that m(w) = 0.
116
Let n(y) = -28*y**2 - 20179*y - 33949493. Let a(l) = -135*l**2 - 100896*l - 169747464. Let m(b) = -5*a(b) + 24*n(b). Factor m(z).
3*(z + 3364)**2
Let n be (-4 - 0)/(59/(-12508)). Let z = n + -4222/5. What is c in 4*c**2 + 6/5*c**3 + 4/5 + z*c = 0?
-2, -1, -1/3
Let d(l) be the second derivative of l**5/60 - 4651*l**4/108 - 431*l**3/3 - 1552*l**2/9 + 13288*l. Find a such that d(a) = 0.
-1, -2/3, 1552
Suppose -2*r = 2*r + 4*v - 188, -4*r + 189 = 5*v. Suppose 0 = 42*f - r*f + 120. Factor -7*h**4 + 9*h**4 - f*h**3 + h**4 + 75*h**2.
3*h**2*(h - 5)**2
Let a(k) = k + 7. Let c be a(31). Let b be (c/10 - 5)/(12/(-8)). Let 0*y - 1/5*y**3 - b + 3/5*y**2 = 0. Calculate y.
-1, 2
Let z(v) = -v**3 + 44*v**2 + v - 1. Let s(c) = -39*c**3 + 13437*c**2 - 7749*c + 1104. Let h(f) = -s(f) + 3*z(f). Determine q, given that h(q) = 0.
1/4, 1/3, 369
Let o(w) be the second derivative of -w**7/21 - 17*w**6/45 - 7*w**5/10 + w**4/2 - 1440*w. Suppose o(x) = 0. Calculate x.
-3, 0, 1/3
Let x be (-2)/3 + 9562/42. Let l be (-51)/136 - x/(-8). Determine y, given that 5*y**3 + 5*y - 28 + l - 14*y**2 + 4*y**2 = 0.
0, 1
Let u be 12/7*((-27)/(-6) + -1)/(2766/1844). What is x in -8/3 + 44*x - 75*x**5 + 20*x**u + 671/3*x**3 - 210*x**2 = 0?
-2, 2/15, 1
Suppose 341*r**2 + 156*r**4 - 341*r**2 - 14*r**5 - r**5 - 60*r**3 = 0. Calculate r.
0, 2/5, 10
Let y(m) be the second derivative of -2*m**6/105 - 66*m**5/35 - 139*m**4/3 - 2440*m**3/7 + 9400*m**2/7 + 8027*m. Let y(c) = 0. What is c?
-47, -10, 1
Let w = 7524 - 23390/3. Let g = w - -274. Factor -1/3*z**2 - 4/3*z - g.
-(z + 2)**2/3
Let w be (-31)/(-21) - 516/(-129)*(-7)/(-42). Factor -w*r + 18/7 - 3/7*r**2.
-3*(r - 1)*(r + 6)/7
Let o = -8713 + 8713. Let h(s) be the third derivative of 0 + o*s**3 - 1/98*s**7 - 1/20*s**5 + 4*s**2 + 9/280*s**6 + 1/28*s**4 + 0*s + 1/784*s**8. Factor h(w).
3*w*(w - 2)*(w - 1)**3/7
Let z(d) be the second derivative of -3*d - 406/15*d**5 - 328/9*d**4 + 75*d**2 + 95/3*d**3 - 11 + 32/3*d**6 + 64/7*d**7. Let z(n) = 0. Calculate n.
-1, -3/4, 5/6
Suppose 2214*w**4 - 1456*w**2 + 60*w**3 - 2211*w**4 + 1393*w**2 = 0. What is w?
-21, 0, 1
Suppose -60*s = 65 - 68 - 177. Factor 8/3*x + 4/3*x**s - 8/9 - 26/9*x**2 - 2/9*x**4.
-2*(x - 2)**2*(x - 1)**2/9
Let y(v) = 3*v**2 + 882*v + 194553. Let s(m) = m**2 + 36. Let l(p) = -2*s(p) + y(p). What is f in l(f) = 0?
-441
Let o(t) be the second derivative of -5*t**6/2 - 357*t**5 - 459*t**4/4 + 758*t**3 - 570*t**2 + 340*t - 2. Determine w, given that o(w) = 0.
-95, -1, 2/5
Let l be (-186)/403*(98/(-21) - 4). Let c(m) be the second derivative of -4/7*m**2 - 1/42*m**l + 18*m + 0 - 4/21*m**3. Find i, given that c(i) = 0.
-2
Let s(z) be the first derivative of z**6/24 - 189*z**5/5 + 142883*z**4/16 + 63*z**3 - 35721*z**2/2 - 3683. Suppose s(r) = 0. Calculate r.
-1, 0, 1, 378
Let g(a) be the first derivative of -3*a**5/20 + 7*a**4/4 - 7*a**3 + 12*a**2 + 58*a + 9. Let l(t) be the first derivative of g(t). Solve l(q) = 0.
1, 2, 4
Let p be ((-22)/220)/(((-3)/9)/(16/6)). Factor 8/5*s - 4/5*s**3 - p*s**2 + 0.
-4*s*(s - 1)*(s + 2)/5
Let v = 1/8821 - -26459/35284. Let p(i) be the second derivative of 1/40*i**6 - 6*i + 1/8*i**3 - 3/16*i**4 - 3/80*i**5 + v*i**2 + 0. Factor p(m).
3*(m - 2)*(m - 1)*(m + 1)**2/4
Let a = -206/37 - -1363/185. Let p(z) be the first derivative of -a*z**5 + 3/4*z**4 + 3*z**3 + 0*z + 1/2*z**6 + 8 - 3*z**2. Factor p(d).
3*d*(d - 2)*(d - 1)**2*(d + 1)
Suppose 0 = 39*j - 5514 - 9852. Factor 439*n**4 - 5*n**2 - j*n**4 + 96*n**3 + 11*n**2 + 6*n**2.
3*n**2*(n + 2)*(15*n + 2)
Let q = -92195/234 + 5452/13. Let t = q + -224/9. Find a such that 0 + t*a**2 + 1/3*a = 0.
-2/3, 0
Let w(x) = 6*x**2 + 2851*x + 2361. Let t(i) = i**2 + 561*i + 472. Let g(b) = -11*t(b) + 2*w(b). Factor g(p).
(p - 470)*(p + 1)
Suppose -29*n + 55 = -18*n. Factor -28*k**5 - 12*k**3 + 21*k - 8*k**2 + 30*k**n + 2*k**4 - 5*k.
2*k*(k - 2)*(k - 1)*(k + 2)**2
Let z(n) be the first derivative of n**5/270 - 23*n**4/54 + 529*n**3/27 + 21*n**2 - 68. Let u(k) be the second derivative of z(k). Factor u(y).
2*(y - 23)**2/9
Let f(p) = -p**3 + 108*p**2 - 2757*p - 990. Let y be f(66). Factor 0*n - 10/7*n**4 + 2/7*n**5 + y + 16/7*n**3 - 8/7*n**2.
2*n**2*(n - 2)**2*(n - 1)/7
Let m = -17612129/49661689 - 3315/14999. Let k = -2/473 - m. Let -k - 1/7*i**2 + 5/7*i = 0. What is i?
1, 4
Let o(f) be the second derivative of f**4/54 - 19*f**3/27 + 20*f**2/3 - 2560*f. Factor o(g).
2*(g - 15)*(g - 4)/9
Factor 165 - 155/3*w**2 + 115*w - 5/3*w**3.
-5*(w - 3)*(w + 1)*(w + 33)/3
Suppose 0 = 3*p - 24 - 21. Let 13*h - 35*h + 22*h + 5*h**5 - 10 + p*h + 10*h**2 - 20*h**3 = 0. Calculate h.
-2, -1, 1
Factor -13*v**5 - 308*v**3 + 473*v**2 + 13*v**5 - 16*v**5 + 311*v**2 + 32*v**4 + 15*v**5.
-v**2*(v - 14)**2*(v - 4)
Suppose -5*d + 57 - 47 = 0. Let k(g) = -g**4 + g