(n - 2)*(n + 1)**3/5
Find n, given that 2/11*n**2 - 276/11*n + 274/11 = 0.
1, 137
Let n(g) be the first derivative of g**4/16 - 47*g**3/4 + 630*g**2 - 1225*g + 239. Determine f, given that n(f) = 0.
1, 70
Let b(s) = 3*s - 4*s**2 - 6*s + 5*s**3 + s. Suppose -27 = o - 10*o. Let i(c) = 6*c**3 - 3*c**2 - 3*c. Let t(g) = o*b(g) - 2*i(g). Factor t(f).
3*f**2*(f - 2)
Suppose 48 = 5*l - 135*j + 137*j, 5*l - 34 = -j. Let -s**3 - s**l + 0*s - 1/3*s**2 + 0 - 1/3*s**5 = 0. Calculate s.
-1, 0
Suppose 5*y - 5 = -17*r + 16*r, -2*y - 5 = -r. Factor -16*a**2 - 2*a**4 + 16*a - 32/5 + 8*a**3 + 1/5*a**r.
(a - 2)**5/5
Let s(m) = 365*m + 39060. Let w be s(-107). Solve -14/3*c**2 + 6*c**3 + 0 + 2/3*c**w - 10/3*c**4 + 4/3*c = 0.
0, 1, 2
Let i = 420 - 1295. Let w be i/(-7) + (0 - -1). Factor -2*v**4 + v**3 + 3*v**3 - 130*v**2 + 2*v**3 + w*v**2.
-2*v**2*(v - 2)*(v - 1)
Let z(g) = 3*g**3 + 8*g**2 - 60*g + 10. Let a(p) = 12*p**3 + 33*p**2 - 240*p + 42. Let y(i) = -5*a(i) + 21*z(i). Find m such that y(m) = 0.
-5, 0, 4
Let x be (94/((-112424)/69))/(3/(-19112)). Find n, given that -x*n**2 + 1692/13*n**3 - 162/13*n**4 - 200/13 + 1880/13*n = 0.
2/9, 5
Suppose -5 + 6*n + 1 + 20*n**2 - 76*n**2 + 54*n**2 = 0. What is n?
1, 2
Let i = 117619/237 + -312/79. Let z = i + -491. Find n such that 8/3*n + 8/9 + 26/9*n**2 + 2/9*n**4 + z*n**3 = 0.
-2, -1
Suppose 5*o - 320 = -5*o. Factor -200 + 390 + 8*g**3 + 2*g**4 - 222 - o*g.
2*(g - 2)*(g + 2)**3
Suppose 43 = 11*j - 89. Let v be (j/70)/((-12)/(-20)). Factor -v*w**2 - 10/7 + 12/7*w.
-2*(w - 5)*(w - 1)/7
What is n in 2*n**4 - 126*n**3 + 2*n**4 - 296*n - 589 + 13 + 422*n**3 + 572*n**2 = 0?
-72, -2, -1, 1
Factor -1413 + 2850 + 171*n**3 - 1437 - 15*n**4 - 156*n**2.
-3*n**2*(n - 1)*(5*n - 52)
Suppose 102 + 21/4*m**2 + 1/4*m**3 - 215/2*m = 0. Calculate m.
-34, 1, 12
Factor 321*l**3 + 251*l**2 - 161*l**3 + 735*l - 155*l**3 - 991*l**2.
5*l*(l - 147)*(l - 1)
Let j(h) = h**3 - h**2 - 15*h - 2. Let a be j(-3). Let s = 272 - 272. Factor s + 1/3*z**4 + 8/3*z**3 + a*z**2 + 6*z.
z*(z + 2)*(z + 3)**2/3
Let n be ((-104)/(-10))/((-21)/(-5) + -4). Suppose 16 + n*d**2 - 17*d - d**3 - 31*d - 11*d**3 - 7*d**3 - 5*d**3 + 4*d**4 = 0. Calculate d.
1, 2
Let g(a) be the first derivative of a**5/240 - a**4/32 + 96*a**2 + 131. Let y(z) be the second derivative of g(z). Factor y(t).
t*(t - 3)/4
Suppose 2*g + 228 = 2*i - 0*g, 4*i + g = 466. Let k = i - 113. Factor 5/3*b**k + 0 - 5/3*b**2 + 0*b.
5*b**2*(b - 1)/3
Suppose 3*c - 2*c = -3. Let o be 28 + (-2)/(-3)*c. Find u, given that -o*u**4 + 4*u**2 + 15*u**4 + 7*u**4 = 0.
-1, 0, 1
Let t(y) be the first derivative of y**7/3780 - y**6/324 - 7*y**5/270 - 25*y**3 - 12. Let v(x) be the third derivative of t(x). Suppose v(i) = 0. What is i?
-2, 0, 7
Let x(i) = -3*i**2 - 37*i - 78. Let z(u) = -8*u**2 - 104*u - 232. Let d(n) = -11*x(n) + 4*z(n). Factor d(o).
(o - 14)*(o + 5)
Factor -1/2*t**2 + 22 - 7/2*t.
-(t - 4)*(t + 11)/2
Factor 64*t - 92*t**3 + 68*t**3 + 12*t - 36 + 38*t**3 - t**4 - 53*t**2.
-(t - 9)*(t - 2)**2*(t - 1)
Factor -30*m**2 - 2*m**3 - 3402 + m**2 - 918*m - 49*m**2.
-2*(m + 9)**2*(m + 21)
Suppose 0 = 11139347*a - 11139399*a. Factor 4*x**3 + 20/3*x**5 + 0*x + a + 4/3*x**2 - 12*x**4.
4*x**2*(x - 1)**2*(5*x + 1)/3
Factor 0 - 1/10*q**3 + 1/2*q + 2/5*q**2.
-q*(q - 5)*(q + 1)/10
Let q(j) be the first derivative of 2*j**3/9 + 1235*j**2/3 + 2468*j/3 - 8597. Factor q(f).
2*(f + 1)*(f + 1234)/3
Let k be 50/(-30)*(3 + 168/(-35)). Let c(p) be the second derivative of 1/10*p**k + 0 + 0*p**2 + 1/10*p**4 + 3/100*p**5 + 9*p. Factor c(d).
3*d*(d + 1)**2/5
Let g(m) be the third derivative of 27/7*m**3 + 19/210*m**5 + 33/28*m**4 + 0*m + 1/420*m**6 - 14*m**2 + 1. Factor g(k).
2*(k + 1)*(k + 9)**2/7
Let t be 13 - (80/(-32) + 2). Factor t*n**2 + 6 + 30*n.
3*(n + 2)*(9*n + 2)/2
Let x(q) = 121*q**2 + 7*q + 45. Let u(w) = 48*w**2 + 4*w + 22. Let v(d) = -5*u(d) + 2*x(d). Let v(p) = 0. Calculate p.
-2, 5
Let w(l) be the third derivative of 0*l**4 + 0*l**3 - 8/15*l**7 + 2*l - 13/30*l**6 + 2/5*l**5 + 6*l**2 + 0. Factor w(z).
-4*z**2*(4*z + 3)*(7*z - 2)
Let l be (1 - (-140)/(-21))/((-2)/(-16)). Let b = -131/3 - l. Factor -5/3*v**3 + 5/3 + b*v - 5/3*v**2.
-5*(v - 1)*(v + 1)**2/3
Let k be 4/(-6 + (-506)/(-69)). Let f(v) be the second derivative of 64/17*v**2 + 1/102*v**4 + 0 + 40*v - 16/51*v**k. Solve f(n) = 0 for n.
8
Suppose -260*q + 4 = 74*q - 26 - 1306. Let 4*g**3 + 2/3*g**q + 16/3*g**2 - 6 - 4*g = 0. What is g?
-3, -1, 1
Let t be (-1590)/(-1800) - 6/8. Let b(z) be the second derivative of 4*z + 0*z**2 + 0*z**5 + 1/3*z**4 - t*z**6 - 1/3*z**3 + 1/21*z**7 + 0. Factor b(n).
2*n*(n - 1)**3*(n + 1)
Let s = -6/3655 + 21972/25585. Find i such that -2/7*i**3 - 6*i**2 + s*i**4 - 22/7*i + 12/7 = 0.
-2, -1, 1/3, 3
Let q(b) be the second derivative of -b**6/30 - 14*b**5/5 + 19*b**4/4 - 932*b. Determine h, given that q(h) = 0.
-57, 0, 1
Let q(p) be the first derivative of -p**3/6 - 13*p**2 + 285*p/2 + 3034. Let q(l) = 0. What is l?
-57, 5
Let w(s) = 8*s**2 - 123*s + 1794. Let d(h) = 3195 + 30*h**2 - 491*h + 4253 - 270. Let b(u) = -6*d(u) + 22*w(u). Factor b(p).
-4*(p - 30)**2
Let d(h) be the third derivative of 1 - 13*h**2 - 4/27*h**4 - 2/3*h**3 + 0*h + 1/135*h**5. Factor d(r).
4*(r - 9)*(r + 1)/9
Let b = 25487 + -713633/28. Let k(j) be the first derivative of -4 + 0*j + b*j**4 - 1/35*j**5 + 1/14*j**2 - 1/7*j**3. Find t such that k(t) = 0.
0, 1
Suppose 18*m + 598 = 44*m. Suppose -19*l - m*l = -46*l. Find p such that l + 15/2*p - 3/2*p**2 = 0.
0, 5
Let j be ((-2)/(-4))/((120/10)/120). Let d be (-70)/(-84) - (-3 + j)/60. Factor 0 + 8/5*k + d*k**2.
4*k*(k + 2)/5
Determine x so that 1/7*x**2 + 68644/7 + 524/7*x = 0.
-262
Let i(x) be the third derivative of x**6/70 + x**5/15 - 55*x**4/21 - 2*x**2 - 43. Suppose i(m) = 0. Calculate m.
-22/3, 0, 5
Factor -118336/3 - 3*l**4 + 2066*l**3 - 1069153/3*l**2 + 710704/3*l.
-(l - 344)**2*(3*l - 1)**2/3
Let g(d) be the first derivative of 0*d + 200 + 14/15*d**3 + 2/5*d**2. Solve g(o) = 0.
-2/7, 0
Let d(m) be the first derivative of 7*m**6/240 - 11*m**5/120 - 5*m**4/24 + 2*m**3/3 - 10*m**2 - 83. Let c(t) be the second derivative of d(t). Factor c(q).
(q - 2)*(q + 1)*(7*q - 4)/2
Let h(v) = -112*v - 667. Let p be h(-6). Suppose 3*l + 18*r - 19*r = 9, p*l + 3*r - 1 = 0. Let 0*o - 4/7 + 0*o**3 - 1/7*o**4 + 5/7*o**l = 0. What is o?
-2, -1, 1, 2
Let l(q) be the third derivative of -1/42*q**7 + 0*q + 1/12*q**5 + 0*q**3 + 1/48*q**8 + 20*q**2 + 1/12*q**4 + 1 - 3/40*q**6. Factor l(k).
k*(k - 1)**2*(k + 1)*(7*k + 2)
Suppose -4*m + 2 = n, -2*n + n + 2 = -4*m. Let h be (4 - 33*(-40)/(-420)) + 6/(-7). Factor h - 1/2*d**n - 3*d + 1/2*d**3.
d*(d - 3)*(d + 2)/2
Let w(k) be the first derivative of k**4 - 332*k**3/3 + 640*k**2 - 1264*k - 427. Let w(u) = 0. Calculate u.
2, 79
What is t in -1/4*t**2 - 51/4*t + 13 = 0?
-52, 1
Factor -63 + 15*q**2 - 13*q**2 + 63 + 143*q + 21*q.
2*q*(q + 82)
Let k(y) = y + 7. Let c be k(-7). Let l = 1/17551 - -105301/87755. What is x in l*x**5 - 26/5*x**3 - 8/5*x**4 + 0*x + c - 12/5*x**2 = 0?
-1, -2/3, 0, 3
Let n = 8050 - 321981/40. Let t(h) be the third derivative of 0*h**3 + 0*h + 0 - 26*h**2 + 7/80*h**6 - 3/8*h**4 - n*h**5. Factor t(y).
3*y*(y - 3)*(7*y + 2)/2
Let o(d) = -21*d**2 - 66*d + 69. Let x(l) = 45*l**2 + 133*l - 139. Let r(h) = -13*o(h) - 6*x(h). Factor r(j).
3*(j - 1)*(j + 21)
Let o(i) = -i**4 + i**3 - i**2 + 1. Suppose -4*r = -12*r + 96. Let z(w) = -9*w**4 - 6*w**3 + 15*w**2 + 12. Let f(b) = r*o(b) - z(b). Factor f(q).
-3*q**2*(q - 3)**2
Let t(c) = 27*c**3 - 3*c**2 + 5*c + 22. Let x be t(6). Solve 4*r**2 + 139*r + 80*r + 85*r + x = 0.
-38
Let s(m) = -m**3 + 16*m**2 + 20*m - 59. Let r be s(17). Let h be r/4 + (8 - (2 - -2)). Find d such that 0 - 2/5*d**3 - 1/5*d**h + 0*d - 1/5*d**4 = 0.
-1, 0
Let o be 5 - 6 - -26*3/6. Let p be (-3)/(-3)*(-3)/o*0. Solve 2/7*l**3 + 4/7*l**2 + p + 0*l = 0.
-2, 0
Let g(i) = i - 3. Let q be g(5). Suppose -3129*t = -3229*t + 900. Factor -2*c + 5*c + t*c**4 - c**3 - q*c**3 + c**2 - 10*c**4.
-c*(c - 1)*(c + 1)*(c + 3)
Let m = 18 + -13. Suppose 2*i - 268 = -3*b - 0*i, 111 = b + m*i. Factor -b*s**3 - 3*s**5 + s**5 - 4*s**4 + 84*s**3.
-2*s**3*(s + 1)**2
Suppose 20*f = 15*f + 140. Let k(a) = -2*a**2 + 9*a - 24. Let w(j) = -10*j**2 + 46*j - 118. Let u(p) = f*k(p) - 6*w(p). Fa