Let q = 19858 - 19856. Let o(i) be the second derivative of 7*i**3 + 35*i + 0 + 1/8*i**4 + 147*i**q. Let o(u) = 0. Calculate u.
-14
Let k(l) be the second derivative of 11*l**7/7560 - 23*l**6/1080 + l**5/45 + 10*l**4 + 208*l. Let m(t) be the third derivative of k(t). Factor m(p).
(p - 4)*(11*p - 2)/3
Suppose 1812 = -4*g + 104. Let y = g - -1285/3. Factor 0*c + y - 4/3*c**2.
-4*(c - 1)*(c + 1)/3
Let m(u) be the first derivative of -4/3*u**3 + 4*u**2 + 0*u + 78. Factor m(h).
-4*h*(h - 2)
Let g(p) = -3*p - 16. Let d be g(-7). Suppose w - d*x - 2 = 0, -4*x = w - x - 2. Determine z, given that -87*z**2 + w*z**3 - 6 - 10*z + 169*z**2 - 84*z**2 = 0.
-1, 3
Let k(l) = -l**3 - 5*l**2 + 5*l + 11. Let d be (49/(-7) + 1)*1. Let o(s) = 2*s**3 + 4*s**2 - 4*s - 9. Let t(n) = d*k(n) - 4*o(n). Factor t(x).
-2*(x - 5)*(x - 3)*(x + 1)
Let s = -26953/3 - -53915/6. Determine w, given that -7/8*w**3 - w**2 + 0 + 1/8*w**5 + s*w + 1/4*w**4 = 0.
-3, -2, 0, 1, 2
Suppose 70*x = -32*x - 20*x. Let f(c) be the third derivative of 0*c + x - 1/350*c**7 + 1/100*c**5 - 1/100*c**6 - 23*c**2 + 1/20*c**4 + 0*c**3. Factor f(i).
-3*i*(i - 1)*(i + 1)*(i + 2)/5
Suppose 0 = b - 0*f - 2*f - 215, 3*f = 3*b - 639. Factor 14691*x**2 + 3468 + 617*x**3 + 16976*x + 12*x**4 - 2900*x + b*x**3.
3*(x + 34)**2*(2*x + 1)**2
Suppose -55131/7*t**2 + 8577*t**4 - 34344/7*t - 4908/7 + 34491/7*t**3 - 21*t**5 = 0. Calculate t.
-1, -2/7, 1, 409
Let g(y) = -3*y**4 - 2*y**2 + 2*y + 1. Let q(v) = 42*v**4 + 33*v**3 - 90*v**2 + 114*v - 15. Let j(n) = 15*g(n) + q(n). Factor j(x).
-3*x*(x - 4)**2*(x - 3)
Let z = -791 + 779. Let b be 4 + z/(-16)*13/(-3). Factor -1/4 - 9/4*u**3 - b*u**2 + 5/4*u.
-(u + 1)*(3*u - 1)**2/4
Let c(i) be the third derivative of i**5/20 - 57*i**4/2 - 1198*i**2. Factor c(r).
3*r*(r - 228)
Let v(c) = c**3 - 21*c**2 + 21*c - 18. Let w(f) = f**3 + 11*f**2 - 7*f - 57. Let o be w(-11). Let m be v(o). Factor -7/2*s + 3/2*s**3 - s**m - 1.
(s - 2)*(s + 1)*(3*s + 1)/2
Let s(l) = 0*l**2 + 7*l - l**2 - 15*l + 7*l. Let c be s(1). Let h(r) = -r. Let m(g) = -2*g**2 + 12*g - 4. Let v(k) = c*m(k) - 12*h(k). Factor v(n).
4*(n - 2)*(n - 1)
Solve 20/3*u**2 - 14/3*u - 12 - 2/3*u**3 = 0.
-1, 2, 9
Let m(c) be the first derivative of -1135*c**6/6 + 3179*c**5 - 34085*c**4/2 + 57050*c**3/3 + 141625*c**2/2 - 625*c + 8205. Determine h so that m(h) = 0.
-1, 1/227, 5
Let z be 3*((-12)/(-84))/(29/70 - (-3)/(-15)). Determine n so that 5/3*n - 5/3*n**3 + 1/3*n**4 - 4/3 + n**z = 0.
-1, 1, 4
Factor 1040/7*t**2 + 0 - 38*t**3 + 2/7*t**4 - 1032/7*t.
2*t*(t - 129)*(t - 2)**2/7
Let h(s) be the third derivative of -s**6/60 - 19*s**5/15 - 425*s**4/12 - 1156*s**3/3 - 60*s**2 - 1. Factor h(l).
-2*(l + 4)*(l + 17)**2
Factor -2030605472 - 3994632*j**2 - 2034597488*j - 4/7*j**4 - 18316/7*j**3.
-4*(j + 1)*(j + 1526)**3/7
Let g be (99/22)/(3/(-72)). Let f be (-36)/g + 2/(-18). Factor -2/3 + 4/9*a + f*a**2.
2*(a - 1)*(a + 3)/9
Let n(p) be the first derivative of 3/5*p**5 - 51*p - 27/2*p**4 + 16*p**3 - 31 + 27*p**2. Solve n(b) = 0 for b.
-1, 1, 17
Factor 0 + 636/5*t**3 + 28/5*t**4 - 184/5*t**2 + 0*t.
4*t**2*(t + 23)*(7*t - 2)/5
Let f(u) be the first derivative of 15*u - 10*u**3 - 63 + u**4 - 12*u + 6*u**3 + 13*u. Suppose f(m) = 0. Calculate m.
-1, 2
Let c(v) be the first derivative of v**3/4 - 453*v**2/2 + 68403*v + 337. Let c(x) = 0. Calculate x.
302
Factor 13 + 16*x**4 - 311*x**2 - 24 - 320*x**3 + 1079*x**2 + 11 + 4*x**5.
4*x**2*(x - 4)**2*(x + 12)
Let b(n) = -n**2 + n - 6. Let h(m) = 13*m**2 - 1075*m - 1000. Let a(d) = -11*b(d) - h(d). Factor a(w).
-2*(w - 533)*(w + 1)
Factor 127 + 7*g**4 - 34*g**3 + 218*g + 74*g**3 - 3*g**4 + 171*g**2 - 39 - 5*g**4.
-(g - 44)*(g + 1)**2*(g + 2)
Suppose -22*t = -15*t + 42. Let p be (-25)/((-75)/t)*(1 + -2). Factor 1/3*j**p - 16/3*j + 64/3.
(j - 8)**2/3
Let f = -8119 + 8124. Let j(u) be the second derivative of -16/45*u**3 - 1/225*u**6 + 0*u**2 + 7/150*u**f - 4/45*u**4 + 0 - 13*u. Solve j(i) = 0.
-1, 0, 4
Find r, given that -108/5*r - 897/5 - 3/5*r**2 = 0.
-23, -13
Let m be 13/((-26)/(-24)) + (-1 - -24 - 33). Solve 3/2*o**m + 9*o - 1/2*o**3 + 0 = 0.
-3, 0, 6
Suppose 76/5*r**2 - 12/5*r + 0 = 0. Calculate r.
0, 3/19
Let c(n) = -2*n - 7. Let a be c(-5). Suppose -5*r + 10 = b, 4*r - 11 = -2*b - a. Let 0*x**r - 2*x**2 + 0*x - 216*x**3 + 215*x**3 - x = 0. Calculate x.
-1, 0
Let z(p) = 59*p + 27. Let o be z(0). Suppose 3*n - 24*a = -o*a + 6, 0 = 4*n + 3*a - 8. Factor 18/7*w - 24/7 + 6/7*w**n.
6*(w - 1)*(w + 4)/7
Suppose -128*x + 116*x = -216. Let u(o) be the first derivative of -6/5*o - x - 2/15*o**3 - 4/5*o**2. Find n such that u(n) = 0.
-3, -1
Let j(l) be the first derivative of l**8/560 + l**7/56 + l**6/60 - l**5/5 - l**3/3 - 221*l**2/2 + 316. Let b(y) be the third derivative of j(y). Factor b(k).
3*k*(k - 1)*(k + 2)*(k + 4)
Let n = 85383/25 + -3415. Let c(t) be the first derivative of -32/5*t**2 + 0*t - 17/5*t**4 - 32/3*t**3 - n*t**5 - 16. What is b in c(b) = 0?
-4, -1/2, 0
Factor 4/5*j**3 + 1564/5*j**2 + 29452*j - 1108828/5.
4*(j - 7)*(j + 199)**2/5
Let z(h) be the first derivative of -2*h**3/27 + h**2/3 + 176*h/9 - 5552. Determine v, given that z(v) = 0.
-8, 11
Let f be ((-53974)/26)/(184/16 - 11). Let q = f - -4154. Find m such that -10/13*m**5 - 38/13*m**4 - 2/13*m + 2/13 - 4*m**3 - q*m**2 = 0.
-1, 1/5
Let n be 11*(-36)/(-132) + (-55)/(-19). Let u = n - 298/57. Let 2/3 + u*x**2 - 4/3*x = 0. Calculate x.
1
Let k = -442 + 458. Determine c, given that -4*c**3 - 2*c - 12*c**3 + k*c**2 + 2*c + 4*c**4 = 0.
0, 2
Let g be (0/(-10) + (-2)/(-4))*(17 - 17). Let y(v) be the first derivative of 2*v**2 + g*v + 4/3*v**3 - 7. Factor y(k).
4*k*(k + 1)
Let 2/5*x**3 - 184/5*x - 72 + 2/5*x**2 = 0. What is x?
-9, -2, 10
Let q(j) be the first derivative of -j**3/3 + 2121*j**2 - 4498641*j - 237. Factor q(k).
-(k - 2121)**2
Let m(i) be the first derivative of -2*i**5/65 + 42*i**4/13 + 548*i**3/13 + 1420*i**2/13 - 4650*i/13 + 5525. Let m(w) = 0. What is w?
-5, 1, 93
Let i(s) = -5*s**3 - 24*s**2 - 55*s + 117. Let o(b) = b**3 + 6*b**2 + 14*b - 26. Let l(k) = 4*i(k) + 18*o(k). Factor l(a).
-2*a*(a - 8)*(a + 2)
Let a(s) be the second derivative of -s**6/360 - s**5/120 - s**3/6 + 87*s**2/2 - 10*s - 4. Let z(i) be the second derivative of a(i). Factor z(f).
-f*(f + 1)
Let f be 6 + ((-498)/18)/(14/6). Let l = f - -725/119. Find c, given that -18/17*c**2 - 2/17*c**4 - l - 14/17*c - 10/17*c**3 = 0.
-2, -1
Suppose 35910 = 8*f - 27*f. Let a be ((-6)/(-33))/1 - f/1463. Factor a*z - 2/19 - 98/19*z**2.
-2*(7*z - 1)**2/19
Suppose -55*m**3 + 6*m**3 + 60*m + 26*m**4 + 2*m**4 - 107*m**3 + 68*m**2 = 0. Calculate m.
-3/7, 0, 1, 5
Let c = -11226 + 22453/2. Solve -1 + c*s + 5/2*s**2 + s**3 = 0.
-2, -1, 1/2
Let n(z) be the first derivative of -19*z**2 + 0*z - 37 - 40/3*z**3 - 1/2*z**4. Factor n(d).
-2*d*(d + 1)*(d + 19)
Let u(l) = -l**2 + 4*l + 6. Let f be u(0). Let g be f/(7/((-14)/(-6))). Suppose -r**g - 3*r + r + 0*r - r**2 = 0. What is r?
-1, 0
Let x(b) be the third derivative of b**5/210 - 5*b**4/21 - 32*b**3/7 + 168*b**2. Factor x(r).
2*(r - 24)*(r + 4)/7
Let c(x) be the first derivative of 2/17*x**4 + 9 + 26/51*x**3 - 37/17*x**2 - 20/17*x. Factor c(i).
2*(i - 2)*(i + 5)*(4*i + 1)/17
Let c(b) be the first derivative of 2*b**3/3 - 292*b**2 + 1160*b - 2691. Find x such that c(x) = 0.
2, 290
Let w be -2 - (3 - 205/35). Let b = -252 + 254. Factor -4/7*x**5 - 1/7*x**b + 0*x - w*x**3 + 0 - 9/7*x**4.
-x**2*(x + 1)**2*(4*x + 1)/7
Find v such that -29/8*v + 3/4 - 5/8*v**2 = 0.
-6, 1/5
Let f = 180490 + -180490. Factor 8/3*j**3 + 7/3*j**4 + 0 + f*j - 1/3*j**5 + 0*j**2.
-j**3*(j - 8)*(j + 1)/3
Let u(h) = 8*h**2 - 4*h + 2. Let g = 16 + -22. Let w(k) = 7*k**2 + 6. Let y(c) = -6*c**2 - 5. Let z(f) = 5*w(f) + 6*y(f). Let m(t) = g*z(t) - u(t). Factor m(d).
-2*(d - 1)**2
Let x be 30/50*(1 + 3 - -6). Factor 4*q**2 + q**4 - 6*q**4 + x*q**2 + 0*q**4 - 5*q**3.
-5*q**2*(q - 1)*(q + 2)
Let u = -19921/9 - -19924/9. Let k(g) be the second derivative of -2/3*g**3 + 0 + u*g**4 - 44*g - 12*g**2. Factor k(p).
4*(p - 3)*(p + 2)
Let v(x) = -x**3 + 11*x**2 - 28*x - 10. Suppose 194*k = 181*k + 78. Let n be v(k). Factor -16/9 - 56/9*c + 68/9*c**2 - n*c**3.
-2*(c - 2)**2*(9*c + 2)/9
Let n be 2/(-1) + 6 + 36/(-6). Let z be (n/(8/(-5)))/(102/408). Factor 16/7*d**4 + 0*d - 72/7