-9)/(-5))/(-3))/(7 + 396/(-55)). Let n(g) be the first derivative of 1/2*g**2 - 1/3*g**k - 29 + 0*g. Factor n(w).
-w*(w - 1)
Determine b so that 12*b**2 - 6*b**4 - 373 + 780*b + 268*b - 153*b**3 - 199*b**3 - 331 + 2*b**4 = 0.
-88, -2, 1
What is m in -10*m - 7*m + 11*m**2 - 2*m**2 + 12*m**2 - 66 + 8*m = 0?
-11/7, 2
Let b(c) be the third derivative of c**6/480 - 31*c**5/80 + 3*c**2 - 232*c - 1. Factor b(n).
n**2*(n - 93)/4
Let m = -226 + 256. Factor -132*n + 36*n**4 - 180*n**3 + 60*n**3 + m + 184*n**2 - 182*n**5 - 8 + 14 + 178*n**5.
-4*(n - 3)**2*(n - 1)**3
Let d be (8/36)/(6/(-54)*-1). Factor 13 + c + 3*c**d + 0*c**3 - 11*c**2 - 5*c**2 - c**3.
-(c - 1)*(c + 1)*(c + 13)
Solve -6/7*i**5 - 108/7*i**2 + 180/7 + 246/7*i - 72/7*i**4 - 240/7*i**3 = 0.
-6, -5, -1, 1
Let p(k) be the first derivative of -3/8*k**2 - 209 - 1/24*k**3 + 0*k. Let p(g) = 0. What is g?
-6, 0
Let t(p) = 4*p**2 + 33*p - 292. Let g be t(12). Let y = g - 678. Factor 0 + 2/9*l**y + 2/3*l.
2*l*(l + 3)/9
Let m(o) be the second derivative of -3*o**5/20 - 213*o**4/4 + 432*o**3 - 1302*o**2 + 4*o + 95. Factor m(k).
-3*(k - 2)**2*(k + 217)
Let v(b) be the second derivative of 0*b**3 + 1/42*b**4 + 0*b**2 + 10*b - 1 + 1/70*b**5. Factor v(y).
2*y**2*(y + 1)/7
Factor -44/3*b - 4/3*b**2 + 56.
-4*(b - 3)*(b + 14)/3
Let q(k) be the third derivative of 0*k - 7/180*k**5 + 2 + 17/72*k**4 + 2/3*k**3 + 20*k**2. Let q(w) = 0. What is w?
-4/7, 3
Let h(p) = 53*p**3 + 268*p**2 + 311*p + 98. Let v(n) = -2*n**3 - n**2 - 3*n + 1. Let g(w) = -h(w) - 2*v(w). Factor g(s).
-(s + 4)*(7*s + 5)**2
Let i(s) be the first derivative of -s**5/25 + s**4/2 + s**3/15 - s**2 + 580. Let i(o) = 0. What is o?
-1, 0, 1, 10
Let x(r) = -27*r**3 - 120*r**2 - 199*r - 91. Let t(p) = -16*p**3 - 62*p**2 - 100*p - 45. Let w(z) = -5*t(z) + 3*x(z). Suppose w(i) = 0. What is i?
-48, -1
Determine v so that 16129/3*v + 0 + 1/6*v**4 + 128/3*v**3 + 16637/6*v**2 = 0.
-127, -2, 0
Suppose 0 = 24*r - 16*r - 152. Let -381*x**2 + r*x + 378*x**2 - 7*x = 0. What is x?
0, 4
Let u(n) be the first derivative of 56/5*n**4 + 12/5*n + 10*n**2 + 263/15*n**3 + 49/25*n**5 + 40. Find p such that u(p) = 0.
-3, -1, -2/7
Suppose -4*v = -5*z - 20, 12 = -3*v + 599*z - 602*z. Factor -8/5*p**3 + 0 + v*p + 6/5*p**2 + 2/5*p**4.
2*p**2*(p - 3)*(p - 1)/5
Let u = -59 - -37. Let s be ((-11)/u)/(1/2512). Factor 1227*p**2 + 2732*p**2 + 3000*p**3 + 4320*p + s*p**2 + 185*p**2 + 1296 + 625*p**4.
(5*p + 6)**4
Let v = 1329172 + -3987494/3. Solve -v*r - 20/3 - 8/15*r**2 + 2/15*r**3 = 0 for r.
-5, -1, 10
Let m(l) be the second derivative of l**6/6 - 4*l**5 + 35*l**4/2 - 100*l**3/3 + 65*l**2/2 + 7652*l. What is t in m(t) = 0?
1, 13
Let x(s) = -13*s**5 - 150*s**4 - 437*s**3 - 197*s**2 + 606*s + 181. Let f(u) = -u**5 + 6*u**4 + 5*u**3 + u**2 - 1. Let i(z) = 2*f(z) + 2*x(z). Solve i(r) = 0.
-5, -3, -2/7, 1
Suppose 3*p = 4*n - 36, 37*n = 35*n + 2*p + 18. Determine g so that n*g**2 + 15*g**3 - 27/5*g + 3/5 = 0.
-1, 1/5
Factor -2*l**4 + 607*l - 3708*l**2 + 192*l**3 - 63*l**3 + 194*l**3 - 10962 + 101*l**3 + 10409*l.
-2*(l - 203)*(l - 3)**3
Suppose -2075 = 3*q - 5*d, 5*q + 5*d + 2624 = -821. Let l = q + 695. Let 10/3*k - l*k**2 + 0 + 5/3*k**3 = 0. What is k?
0, 1, 2
Let z(x) be the third derivative of -2*x**7/147 - 157*x**6/210 - 22*x**5/5 + 200*x**4/21 + 64*x**3/3 + 164*x**2. Solve z(u) = 0 for u.
-28, -4, -2/5, 1
Let z(j) be the first derivative of -j**4 + 76*j**3/3 - 68*j**2 - 1120. Determine x so that z(x) = 0.
0, 2, 17
Let p(a) be the third derivative of -121/24*a**3 + 0*a - 7*a**2 + 0 + 11/48*a**4 - 1/240*a**5. Factor p(n).
-(n - 11)**2/4
Let d be 3/(-12) + 436*(-2)/(-3360). Let u(j) be the third derivative of 1/60*j**5 + 0*j**3 + 0 + 0*j**4 + 17*j**2 + 1/120*j**6 - d*j**7 + 0*j. Factor u(x).
-x**2*(x - 1)*(2*x + 1)
Let w(k) be the first derivative of -k**3/7 - 93*k**2/7 - 360*k/7 + 2952. Let w(i) = 0. What is i?
-60, -2
Let y(i) = 42*i**2 + 5398*i + 5416. Let c(b) = -68*b**2 - 8096*b - 8124. Let x(d) = 5*c(d) + 8*y(d). Let x(t) = 0. Calculate t.
-1, 677
Let g = -417 + 64. Let o = -351 - g. Factor 0*m**o + 0 - 2/7*m + 2/7*m**3.
2*m*(m - 1)*(m + 1)/7
Let i be 2/7 + (-10)/(-14) - -11. Let y be ((-54)/15)/((i/(-4))/15). Factor -4 - 22*s - 24*s**2 + 2 + 22*s**3 + 10*s**2 + y*s**4 - 2.
2*(s - 1)*(s + 1)**2*(9*s + 2)
Factor 1777*a + 481*a**2 + 529*a - 1169*a - 67*a**3 + 598 + 10*a**3 + a**4.
(a - 46)*(a - 13)*(a + 1)**2
Let u(r) be the third derivative of -r**5/20 + 23*r**4/2 - 1058*r**3 + 339*r**2 - 3. Factor u(g).
-3*(g - 46)**2
Let g(m) be the third derivative of -3625/24*m**4 + 3125/3*m**3 - 1/24*m**6 + 0*m + 1 + 13/3*m**5 + 87*m**2. What is u in g(u) = 0?
2, 25
Suppose 5025/4 + 2511/2*z - 3/4*z**2 = 0. Calculate z.
-1, 1675
Let r = 25967/28850 - 1/14425. Let l(n) = 3*n - 34. Let o be l(12). Factor r*j + 0 + 2/5*j**4 + 3*j**o - 23/10*j**3.
j*(j - 3)**2*(4*j + 1)/10
Let l(h) = -4*h**2 - 24*h. Suppose -4*k + 12*r + 5 = 15*r, -1 = 4*k + r. Let c(x) = -x**2 - 3*x. Let i(w) = k*l(w) + 8*c(w). Suppose i(n) = 0. Calculate n.
0
Let k(d) be the second derivative of 0 + 2/33*d**3 + 0*d**2 + 24*d - 1/66*d**4. Determine y so that k(y) = 0.
0, 2
Let p be 4*2 + (95/(-855))/(3/171). Factor -25/3*o**3 + p*o**4 + 0 - 35/3*o - 65/3*o**2.
5*o*(o - 7)*(o + 1)**2/3
Let o(l) be the third derivative of -7/24*l**4 - 1/12*l**5 - 1/2*l**3 + 0 - 1/120*l**6 + 85*l**2 + 0*l. Factor o(p).
-(p + 1)**2*(p + 3)
Let x(u) be the second derivative of 5*u**7/42 + u**6 - 15*u**5/4 + 10*u**4/3 - 3*u + 8. Factor x(y).
5*y**2*(y - 1)**2*(y + 8)
Let m(j) be the third derivative of -j**7/1050 + j**6/10 - 3*j**5 + 697*j**2. Find w, given that m(w) = 0.
0, 30
Let c(k) = -2*k**2 - 131*k + 4486. Let y(g) = g**2 - g + 1. Let q(x) = -c(x) - 3*y(x). What is s in q(s) = 0?
67
Solve 29/7*r + 138/7 + 1/7*r**2 = 0.
-23, -6
Let d = 4711 + -32975/7. Let m(o) be the first derivative of 2/7*o**2 + 5 + 2/21*o**3 + d*o. Factor m(f).
2*(f + 1)**2/7
Let n = 585106 - 585106. Factor -2/5*f**4 + 26/5*f**2 + 14/5*f + 2*f**3 + n.
-2*f*(f - 7)*(f + 1)**2/5
Let t(u) = -2*u**3 + 47*u**2 + 39*u - 360. Let i be t(24). Factor 2/13*z**3 + i + 4/13*z**2 + 0*z.
2*z**2*(z + 2)/13
Factor 1079998/5*v**3 - 217076402/5*v**2 + 1/5*v**5 + 430920001/5*v - 1799/5*v**4 - 214921799/5.
(v - 599)**3*(v - 1)**2/5
Let s = 146 - 142. Let k be 8/(-10)*(80/s)/(-2). Find a, given that -k*a - 4 - 2*a**4 + 7*a - 3*a - 10*a**3 - 18*a**2 - 10*a = 0.
-2, -1
Let m = -5445579/5 - -1089116. Determine k, given that 8/5*k - m*k**2 + 9/5 = 0.
-1, 9
Let b(l) be the second derivative of -5/6*l**3 + 5/12*l**4 - 5/2*l**2 + 1/4*l**5 - 23 + 2*l. Factor b(z).
5*(z - 1)*(z + 1)**2
Let b(a) be the second derivative of -5*a**4/12 - 1620*a**3 - 2361960*a**2 - 397*a. Let b(v) = 0. Calculate v.
-972
Let n = 194027/80830 - 7/16166. Solve -n*x + 0 - x**2 = 0.
-12/5, 0
Let n(v) be the first derivative of -v**3/4 - 693*v**2 - 5541*v/4 - 3295. Factor n(s).
-3*(s + 1)*(s + 1847)/4
Let c(n) = 48*n**2 - 141*n - 486. Let a(g) = g**3 + 50*g**2 - 142*g - 484. Let w(r) = -3*a(r) + 2*c(r). Let w(v) = 0. Calculate v.
-20, -2, 4
Let n(g) be the third derivative of g**6/1080 - 37*g**5/360 - 83*g**3/6 + 138*g**2. Let o(a) be the first derivative of n(a). Factor o(p).
p*(p - 37)/3
Suppose -3*z + 141 = 3*x, 7*z - 5*z + 5*x - 88 = 0. Factor 2*b**2 - 62*b - 6*b**2 - 2*b**2 - z*b + 3*b**2.
-3*b*(b + 37)
Let z(o) be the third derivative of o**5/300 - 9*o**4/4 + 1215*o**3/2 + 2*o**2 + 129. Factor z(p).
(p - 135)**2/5
Let r be (324/756)/((-12)/(-14)). Find n such that -6 + 1/4*n**2 + r*n = 0.
-6, 4
Let u be 1/2 - 46/4. Let c = u + 19. Factor 3*b**4 + 4*b - 8*b - c*b**2 + 5*b**4 + 4*b**5.
4*b*(b - 1)*(b + 1)**3
Suppose -16*o - 210 = 62. Let n be -4 + (-135)/(-36) + o/(-4). Factor 1/2*b**2 - 1/4*b**3 + 0 + 0*b + 3/4*b**5 - b**n.
b**2*(b - 1)**2*(3*b + 2)/4
Suppose -2992 = -27*n + 5648. Let c = n + -318. Solve -50/23*r**4 - 48/23*r**c - 8/23*r + 0 - 90/23*r**3 = 0.
-1, -2/5, 0
Let f(q) be the third derivative of -5*q**8/336 + 227*q**7/42 - 8189*q**6/12 + 155867*q**5/6 + 22311575*q**4/24 + 61629875*q**3/6 - 3477*q**2. Factor f(m).
-5*(m - 79)**3*(m + 5)**2
Suppose -97*t - t**2 + 15*t**2 + 41*t**2 - 8*t**2 + 49 + 0*t**3 + t**3 = 0. What is t?
-49, 1
Let s(h) be the second derivative of -h**6/285 - h**5/190 + 211*h**4/114 + 421