+ 1838. Determine i, given that l(i) = 0.
-35, -1, 3
Suppose 4*h - 5*h = -5. Suppose -o = x - 2*x - 4, h*o + 5*x - 10 = 0. What is a in -1 + 0*a - 2*a**2 + 3 + o*a**2 - 3*a = 0?
1, 2
Let n be (-4)/10 - 48/(-20). Suppose 141*v - 137*v - 12 = 2*q, -4*v + 24 = q. Factor -8*b - 6*b**2 + 2*b**n - 8*b**2 + 4*b**q.
4*b*(b - 2)*(b + 1)**2
Let s(l) = l**2 - l. Let d(i) be the first derivative of -i**5/5 + 2*i**3/3 - i**2/2 - 6. Let j be 4*(-18)/(-24) - 6. Let v(p) = j*s(p) + 3*d(p). Factor v(n).
-3*n**2*(n - 1)*(n + 1)
Let l = 229 + -228. Suppose -p = -138*g + 143*g - 12, -p - g + 4 = 0. Find w, given that l + 1/6*w**p + 7/6*w = 0.
-6, -1
Let s(v) be the second derivative of v**4/20 - 81*v**3/5 + 142*v - 6. Factor s(q).
3*q*(q - 162)/5
Let q(a) be the third derivative of -a**7/840 - 3*a**6/160 + 7*a**5/240 + 19*a**4/32 - 9*a**3/4 + 10*a**2 - 105. Solve q(f) = 0.
-9, -3, 1, 2
Let k(z) be the second derivative of 0 - 25/7*z**2 - 1/42*z**4 - 10/21*z**3 - 41*z. Factor k(r).
-2*(r + 5)**2/7
Let d be (5 - (11 + -9)) + -8. Let o be (-142)/355 + (-17)/d. Factor 162/11 - 34/11*s**2 - 126/11*s - 2/11*s**o.
-2*(s - 1)*(s + 9)**2/11
Suppose 0 = 4*x - 2*o + 18, 0 = 3*o - 17 + 2. Let y be (2/8)/((-15)/12 - x). Determine r, given that 1/3*r - 1/3*r**4 - 1/3*r**3 + 0 + y*r**2 = 0.
-1, 0, 1
Let u be (-2)/((-4)/1732*80). Let x = u + -85/8. Suppose -x*c**2 - 2/5 + 3/5*c = 0. What is c?
1, 2
Factor -18864*n**2 + 17424 + 19020*n**3 + 540*n**4 + 14052*n**2 + 17581*n**2 + 4*n**5 + 41091*n**2 + 52800*n.
4*(n + 1)**3*(n + 66)**2
Suppose -u + 2*b + 7 = 0, -19 = -u - 2*u + 5*b. Factor y**3 + 1 - 14*y**4 - 1 + 10*y**4 + 72*y**2 - 69*y**u.
-4*y**2*(y - 1)*(y + 18)
Let n(p) be the first derivative of 5*p**6/9 - 42*p**5/5 + 289*p**4/6 - 122*p**3 + 90*p**2 + 144*p + 395. Let n(o) = 0. What is o?
-2/5, 3, 4
Factor -12*g + 1/5*g**2 + 324/5.
(g - 54)*(g - 6)/5
Factor -25 - 13*m**3 - 187*m**4 - 113*m**2 + 24*m + 124*m**2 + m**5 + 184*m**4 + 0 + 5.
(m - 5)*(m - 1)**2*(m + 2)**2
Suppose 0 = -13*f + 1049 - 269. Let v be 228/f - (2 - 0/(-2)). Determine d so that 12/5*d**4 + 3/5*d + 0 + 0*d**3 - v*d**2 = 0.
-1, 0, 1/2
Let q(u) = -11*u**2 + 317*u + 15842. Let w(l) = 5*l**2 - 160*l - 7921. Let p(m) = -6*q(m) - 13*w(m). Factor p(r).
(r + 89)**2
Let f(y) be the third derivative of y**6/960 - 131*y**5/480 + 503*y**4/192 + 635*y**3/48 + 1650*y**2. Solve f(b) = 0.
-1, 5, 127
Let s = -203/2 - -155. Let u = -51 + s. Find r, given that u*r**2 - 5/2*r**3 + 0 + 5*r = 0.
-1, 0, 2
Let l(u) be the first derivative of -u**5/100 - 7*u**4/30 - 5*u**3/6 - 6*u**2/5 + 2*u - 33. Let h(c) be the first derivative of l(c). Factor h(m).
-(m + 1)**2*(m + 12)/5
Let z = 83416 + -83413. Find r, given that 0 + 4/5*r**z + 16*r - 64/5*r**2 + 4/5*r**4 = 0.
-5, 0, 2
Let q(g) be the third derivative of -g**6/360 + g**5/5 - 29*g**4/72 - 35*g**3/3 + 251*g**2. Suppose q(x) = 0. What is x?
-2, 3, 35
Let m(v) be the third derivative of 1/336*v**8 + 0*v**3 + 0*v**4 + 4/105*v**7 + 0*v**5 - 2 + 0*v + 56*v**2 + 2/15*v**6. Factor m(h).
h**3*(h + 4)**2
Suppose -2/3*d**3 + 4/3 - 4/3*d**2 + 2/3*d = 0. Calculate d.
-2, -1, 1
Let c be 4 + (0 - -4) + 2*-3. Suppose 3*p + 2*p = 25. Solve 2 - 7*f + p*f + f**2 - c + 1 = 0.
1
Let b(g) be the third derivative of -g**5/180 + g**4 + 152*g**3/9 - 6*g**2 - 7*g + 3. Factor b(p).
-(p - 76)*(p + 4)/3
Let u(v) = -4*v**4 + 24*v**3 + 42*v**2 - 44*v. Let r(b) = -12*b**4 + 72*b**3 + 124*b**2 - 136*b. Let f(y) = 3*r(y) - 8*u(y). Factor f(j).
-4*j*(j - 7)*(j - 1)*(j + 2)
Let u(o) be the first derivative of 0*o + 149 + 21/4*o**4 - 37*o**3 + 15*o**2. Find f such that u(f) = 0.
0, 2/7, 5
Let w(x) = -9*x**2 + 44*x - 80. Let z(g) = 8*g**2 - 43*g + 80. Let q be (1 - -1) + 0/1 + 10. Suppose -3*s + 0 = -q. Let j(t) = s*z(t) + 3*w(t). Factor j(b).
5*(b - 4)**2
Let l(t) = -4*t + 36. Let c be l(-9). Suppose -70 = a - c. Factor -2/3*k**a - 2/9*k**3 + 0*k + 8/9.
-2*(k - 1)*(k + 2)**2/9
Let a(g) be the first derivative of -2*g**3/51 + 120*g**2/17 - 14*g + 308. Factor a(l).
-2*(l - 119)*(l - 1)/17
Let i = 73446 - 73446. Determine n, given that -120/11*n + i + 6/11*n**2 = 0.
0, 20
Suppose 134 + 48 = -7*f. Let s = f + 29. Factor -23*p**3 - 8*p + 13*p**s + 12*p**3.
2*p*(p - 2)*(p + 2)
Factor -192/5*t**2 + 1764*t + 38416/5 + 1/5*t**3.
(t - 98)**2*(t + 4)/5
Let j(p) = -p**2 - 2*p + 24. Let l(n) = 2*n**2 + 2*n - 48. Let d(g) = 2*g + 66. Let q be d(-30). Let u(b) = q*l(b) + 11*j(b). Solve u(z) = 0 for z.
-2, 12
Factor -27/7*o - 6 - 3/7*o**2.
-3*(o + 2)*(o + 7)/7
Suppose 0*s + 1/3*s**4 + 52/3*s**2 - 28/3*s**3 + 0 = 0. What is s?
0, 2, 26
Let v(r) = 2*r**4 - 11*r**3 + 7*r**2 - 7. Suppose 2*k = -2*k + 16. Let q(u) = u**4 - 6*u**3 + 4*u**2 - 4. Let z(o) = k*v(o) - 7*q(o). Factor z(c).
c**3*(c - 2)
Let r(i) = i**3 - 27*i**2 + 267*i - 428. Let d be r(2). Let -21/2*j + 0 + 15/4*j**2 + 3/4*j**4 + d*j**3 = 0. Calculate j.
-7, -2, 0, 1
Let x(s) be the third derivative of -s**8/112 + 3*s**7/70 + 13*s**6/40 - 7*s**5/20 - 9*s**4/2 - 10*s**3 - 445*s**2 - s. What is l in x(l) = 0?
-2, -1, 2, 5
Let x = 339377/5 + -67650. Let g = -225 + x. Find m such that 8/5*m**4 + 8/5*m**3 - 4/5*m - 6/5*m**2 + g = 0.
-1, 1/2
Let p be 788/30 + (-20306)/781. Solve -p*z**3 - 2/5*z**2 + 2/15*z**4 + 0 + 0*z = 0.
-1, 0, 3
Let s(t) = -t**3 - 15*t**2 + 15*t - 31. Let r be s(-16). Let w be 2 - -5 - (r - (-3840)/176). Factor 2/11*z - w*z**3 + 6/11*z**2 - 6/11.
-2*(z - 3)*(z - 1)*(z + 1)/11
Let o(g) be the third derivative of -1 - 1/144*g**6 + 5/18*g**3 + 0*g + 17/144*g**4 + 1/120*g**5 - 1/1260*g**7 - 23*g**2. Factor o(n).
-(n - 2)*(n + 1)**2*(n + 5)/6
Let j(c) be the first derivative of 0*c + 1/8*c**4 - 4/3*c**3 + 99 + 1/10*c**5 - 3*c**2. Factor j(b).
b*(b - 3)*(b + 2)**2/2
Determine r, given that -1782462 + 16584*r - 7214142 - 7719198 - 473514 - 4*r**2 = 0.
2073
Let d**3 - 24 + 62*d**2 - 84*d**2 - 233*d + 277*d + d**4 = 0. What is d?
-6, 1, 2
Let h(p) = -3*p**4 + 35*p**3 + 179*p**2 + 169*p + 68. Let l(b) = -b**4 + 11*b**3 + 60*b**2 + 56*b + 23. Let z(t) = -3*h(t) + 8*l(t). Factor z(j).
(j - 20)*(j + 1)**3
Let i(z) be the third derivative of -z**7/70 - 7*z**6/10 - 131*z**5/10 - 231*z**4/2 - 1089*z**3/2 - 6*z**2 - 2*z - 77. Factor i(r).
-3*(r + 3)**2*(r + 11)**2
Let x be (-1)/(((-6)/90)/(22*22/2420)). Solve -69/7*r - 6 - 45/7*r**x + 156/7*r**2 = 0 for r.
-1/3, 1, 14/5
Suppose -4 = 3*j - 10. Suppose g = 4*r - g + 8, -3*r - j*g + 8 = 0. Suppose -h**2 + h**2 + 10*h + 25 + h**2 + r*h**2 = 0. What is h?
-5
Let z(r) = 5*r**4 - 11*r**3 + 36*r**2 + 132*r - 244. Let o(x) = 72*x**4 - 153*x**3 + 504*x**2 + 1848*x - 3417. Let d(y) = 4*o(y) - 57*z(y). Factor d(k).
3*(k - 2)**2*(k + 4)*(k + 5)
Factor -93*m**2 - 34400 + 34400 - 90*m + 3*m**4.
3*m*(m - 6)*(m + 1)*(m + 5)
Let m(h) = -h**2 - 27*h + 28. Let g be m(-28). Let y(s) be the first derivative of -4/3*s**3 + 0*s**2 + g*s - 1/4*s**4 - 12. Let y(t) = 0. Calculate t.
-4, 0
Let c(o) = -17*o**2 - 17*o + 13. Let w be 30/90*(-12 - 6). Let k(p) = 5 - 8*p**2 + 1 + 2*p - 10*p. Let z(d) = w*c(d) + 13*k(d). Solve z(t) = 0.
-1, 0
Let h(c) = -80*c**3 - 15*c**2 + 17*c. Let b(u) = 93*u**3 + 14*u**2 - 18*u. Let y(m) = 6*b(m) + 7*h(m). Factor y(n).
-n*(n + 11)*(2*n - 1)
Let b be (-5)/25 - (-156)/30. Let 95*z + 30 - 1474*z**2 + 45*z**3 + b*z**4 + 786*z**2 + 793*z**2 = 0. What is z?
-6, -1
Let z be (-1917)/38880 - 1/(-18). Let l(b) be the third derivative of 0 + z*b**5 + 0*b + 9/16*b**3 + 29*b**2 + 3/32*b**4. Suppose l(a) = 0. Calculate a.
-3
Let z be (-90)/60 + ((-169)/(-2))/1. Suppose -6 = -85*f + z*f. Factor -7 + 16*l**2 + 3*l**4 - 9 - 12*l - 7*l**2 + 4 + 12*l**f.
3*(l - 1)*(l + 1)*(l + 2)**2
Let z(j) be the third derivative of -j**8/336 + 13*j**7/210 - j**6/4 - j**5/15 + 5*j**4/3 + 1516*j**2. Factor z(x).
-x*(x - 10)*(x - 2)**2*(x + 1)
Let r(l) be the third derivative of 0*l + 138*l**2 + 1/15*l**4 + 1/5*l**3 + 0 + 1/150*l**5. Solve r(t) = 0.
-3, -1
Let l(i) be the first derivative of -3/10*i**4 - 2/25*i**5 - 48/5*i - 33 + 12/5*i**3 - 4/5*i**2. Let l(y) = 0. Calculate y.
-6, -1, 2
Let o be (-59 + -5 + 2)/((-2)/1). Suppose 0 = -3*l + 4*d, 5*l + 4*d - 1 - o = 0. Let -12*h + 6*h**l + h**5 + 9*h**3 - 8*h**2 + 4*h**2 + 0*h**2 = 0. Calculate h.
-3, -2, 0, 1
Determine q so that 18344/11*q**3 + 2/11*q**5 + 400/11*q**4 - 346112/11 - 164768/11*q**2 + 425984