 64*m**3/3 - 97*m. Let v(c) be the second derivative of k(c). Factor v(n).
4*n*(n - 1)*(n + 6)
Let a(k) be the third derivative of 135*k**8/112 - 222*k**7/7 + 6331*k**6/24 - 1789*k**5/3 + 2875*k**4/6 - 560*k**3/3 + 284*k**2 - 1. Solve a(n) = 0.
2/9, 1, 7, 8
Let g(v) = -1278*v - 8914. Let x be g(-7). Let k(w) be the third derivative of -x*w**2 + 5/6*w**3 - 1/6*w**4 + 0*w - 1/60*w**5 + 0. Factor k(t).
-(t - 1)*(t + 5)
Let w(j) be the first derivative of 158*j**3 + 30 + 24*j + 297/4*j**4 - 114*j**2. Solve w(k) = 0.
-2, 2/11, 2/9
Let z(t) be the third derivative of 9/4*t**4 - 2*t + 1/14*t**7 + 19/20*t**6 - 26*t**2 + 0*t**3 - 61/20*t**5 + 0. Find r such that z(r) = 0.
-9, 0, 2/5, 1
Let z(y) be the first derivative of -5*y**4/4 + 2285*y**3/3 + 1145*y**2 + 5966. Factor z(m).
-5*m*(m - 458)*(m + 1)
Let r be 1155/230 + (-95)/4370. Let -2/13*f**3 + 2/13*f**r + 0*f**4 + 0 + 0*f + 0*f**2 = 0. Calculate f.
-1, 0, 1
Let f(a) be the first derivative of -7 - a**4 + 0*a - 4/3*a**3 - 1/5*a**5 + 0*a**2. Factor f(m).
-m**2*(m + 2)**2
Let n(c) be the third derivative of -c**7/42 + 29*c**6/8 + c**5/12 - 145*c**4/8 - 5059*c**2. Find y such that n(y) = 0.
-1, 0, 1, 87
Let q(h) be the second derivative of h**4/4 - 63*h**3/2 - 735*h**2 - 5569*h. Factor q(i).
3*(i - 70)*(i + 7)
Factor 1/4*k**2 - 1/4*k**3 + 9 + 6*k.
-(k - 6)*(k + 2)*(k + 3)/4
Let q(b) be the third derivative of -b**6/480 + 23*b**5/60 - 529*b**4/24 - 245*b**2 + 4. Factor q(n).
-n*(n - 46)**2/4
Let b(i) = -7*i + 135. Let f be b(19). Let d be (95/(-38))/(f/(-8)*5). Solve -1/3*s**4 - 1/3*s - s**d + 0 - s**3 = 0 for s.
-1, 0
Let u(y) be the third derivative of y**8/112 - 37*y**6/40 - 21*y**5/5 + 3401*y**2. Determine f, given that u(f) = 0.
-4, -3, 0, 7
Suppose 196*x - 200*x - 2*o - 10 = 0, -2*x = -4*o - 20. Let l(j) be the second derivative of -2*j - 4/3*j**3 + 0 + x*j**2 - 1/3*j**4. Factor l(a).
-4*a*(a + 2)
Let m = -2/17191 + 17201/85955. What is y in -2/5 - 2/5*y**4 - 1/5*y**5 + 2/5*y**3 + 4/5*y**2 - m*y = 0?
-2, -1, 1
Let u(r) be the first derivative of -57 + 0*r + 160/3*r**3 - r**4 - 800*r**2. Find i such that u(i) = 0.
0, 20
Suppose -63420 = 105*a - 63630. Factor -24/5*n**a + 39/5*n + 18/5.
-3*(n - 2)*(8*n + 3)/5
Solve -276*n + 977*n**2 - 329*n**2 - 328*n**2 - 319*n**2 - 556 = 0.
-2, 278
Let v(u) be the first derivative of u**6/90 - 3*u**5/20 - u**4/36 + u**3/2 - 25*u - 71. Let y(f) be the first derivative of v(f). Factor y(p).
p*(p - 9)*(p - 1)*(p + 1)/3
Solve 48 + 331*a**2 - 328*a**2 + 22*a + 72 + 34*a - 17*a = 0 for a.
-8, -5
Let y(t) be the second derivative of -t**8/168 + t**7/35 + t**6/6 - 19*t**2 + 41*t. Let z(q) be the first derivative of y(q). Determine n so that z(n) = 0.
-2, 0, 5
Let k(y) = -232*y**2 + 5*y - 6. Let g be k(2). Let s = g - -6494/7. Factor s*a - 44/7*a**2 + 2/7*a**5 - 6/7 + 36/7*a**3 - 2*a**4.
2*(a - 3)*(a - 1)**4/7
Let l(x) be the second derivative of -x**4/21 + 230*x**3/3 + 1612*x**2/7 + 176*x - 6. Factor l(k).
-4*(k - 806)*(k + 1)/7
Let y = 1 + 2. Let k(v) = 3*v - 34. Let x be k(12). Determine d so that -26*d - 11*d**y - 9*d**3 + 4 + 40*d**x + 2*d**3 = 0.
2/9, 1
Suppose -66*d = 27*d - 372. Let c(p) be the second derivative of 0*p**2 - 9*p + 1/6*p**3 - 1/80*p**5 + 0 - 1/16*p**d. Factor c(w).
-w*(w - 1)*(w + 4)/4
Factor 480/13*s**2 + 672/13 - 2/13*s**4 - 72/13*s**3 - 992/13*s.
-2*(s - 2)**3*(s + 42)/13
Let b = -25120 - -25123. Suppose 37/3*j - 13/3*j**2 + 10/3 - 4/3*j**b = 0. Calculate j.
-5, -1/4, 2
Let d be (-8)/6*2160/(-160). Suppose 25*j - d - 107 = 0. Suppose -8/9*f**4 + 0 + 2/9*f**j + 2/3*f**3 + 0*f**2 + 0*f = 0. Calculate f.
0, 1, 3
Let q = -132 - -136. Factor q*t**3 + 1240 + 46*t**2 + 50*t**2 + 185*t + 583*t + 808.
4*(t + 8)**3
Let f(g) be the second derivative of g**4/66 - 3*g**3/11 - 70*g**2/11 - 133*g + 1. Find v, given that f(v) = 0.
-5, 14
Let j(l) be the second derivative of l**6/330 + 61*l**5/55 - 989*l**4/132 + 124*l**3/11 + 2002*l - 1. Factor j(k).
k*(k - 3)*(k - 1)*(k + 248)/11
Let l(n) = 68*n**3 + n**2. Let t be l(1). Let h be (100/(-15))/5*-3. Determine y, given that -27*y**2 - 104*y**3 + t*y**3 + 12*y + 53*y**3 - 3*y**h = 0.
0, 1, 4
Let q be (-6)/1*((-874)/273 + (-74)/(-8177)*17). What is j in -q + 132/7*j - 4/7*j**2 = 0?
1, 32
Let x(s) be the second derivative of s**5/190 + 175*s**4/38 + 30625*s**3/19 + 5359375*s**2/19 + 1105*s - 1. Factor x(f).
2*(f + 175)**3/19
Let d(x) be the first derivative of 5*x**4/12 - 5*x**3/6 - 5*x**2 - 128*x + 66. Let a(k) be the first derivative of d(k). Find p such that a(p) = 0.
-1, 2
Suppose 0 = -4*q - 20, 0 = -18*g + 16*g + q + 69. Factor 38*u**2 - 9*u**3 + g*u**2 + 63*u - 30 + 14*u**2.
-3*(u - 10)*(u + 1)*(3*u - 1)
Let k be (2/(-5) + 0)/(90/(-2700)). Solve -13*g**2 - 25*g + 5*g**3 + 30 - k*g**2 + 0*g**3 + 15*g**2 = 0.
-2, 1, 3
Suppose 3*j = -108 + 138. Suppose -q - j = -4*k + k, -k - 4*q - 1 = 0. Factor -21/5*t**k + 0 - 6/5*t**2 + 0*t.
-3*t**2*(7*t + 2)/5
Let u(d) = 2*d**2 - 145*d - 603. Let q be u(-4). Suppose q*x = -14 + 50. Solve 10/3*o**3 + 2/3*o**5 + 0*o + 0 - 8/3*o**x - 4/3*o**2 = 0.
0, 1, 2
Let t(k) be the third derivative of -k**5/60 - 25*k**4/8 + 7*k**2 + 28*k. Factor t(b).
-b*(b + 75)
Let r be 74/30 + (-2216)/(-4155). Let -243/4 - 177/2*x**2 - 3/4*x**4 + 135*x + 15*x**r = 0. Calculate x.
1, 9
Let x(o) be the first derivative of 6*o**3 - 668*o**2 + 296*o - 785. Factor x(u).
2*(u - 74)*(9*u - 2)
Factor 28227/2*n**2 - 4074*n + 294.
3*(97*n - 14)**2/2
Let y = 6119792/15 - 407986. Suppose y*u**2 + 2 - 16/15*u = 0. What is u?
3, 5
Let p(z) be the third derivative of 1/160*z**5 + 3/64*z**4 - 9/8*z**3 - 6*z**2 + 0*z + 3. Find b such that p(b) = 0.
-6, 3
Let z(j) = -3*j**2 - 27*j + 13. Let x be z(-9). Let i be (2 - x/8)/((-120)/(-80)). Factor 9/4*h**2 + 6*h + i*h**3 + 4.
(h + 1)*(h + 4)**2/4
Let c = 27866 - 27864. Let 16/7 - 2/7*b**5 - 4/7*b**c - 22/7*b**3 + 24/7*b - 12/7*b**4 = 0. What is b?
-2, -1, 1
Determine w, given that -91800*w**2 - 157*w**4 + 689*w**4 + 818*w**4 + 21*w**5 + 18948*w**3 - 27744*w = 0.
-34, -2/7, 0, 4
Let w(j) be the third derivative of -1/210*j**6 + 19/42*j**4 + 0*j - 67*j**2 + 0 - 2/105*j**5 + 40/21*j**3. Solve w(d) = 0.
-5, -1, 4
Let p(a) be the first derivative of 3*a**4/8 + 31*a**3/2 - 882*a**2 + 11880*a + 1832. Factor p(z).
3*(z - 12)**2*(z + 55)/2
Let i(r) = -50*r**4 + 13*r**3 - 34*r**2 - 79*r. Let d(z) = -14*z**4 + 4*z**3 - 12*z**2 - 26*z. Let a(n) = -7*d(n) + 2*i(n). Factor a(l).
-2*l*(l - 3)*(l + 2)**2
Find i such that -10/13*i**2 + 2/13*i**4 + 0*i**3 + 8/13 + 0*i = 0.
-2, -1, 1, 2
Let c = -586 + 586. Suppose c = 14*r + 11*r. Factor -8/7*g - 4/7*g**4 + 8/7*g**3 + 4/7 + r*g**2.
-4*(g - 1)**3*(g + 1)/7
Let c(a) be the second derivative of 0*a**2 + 1/18*a**3 + 0 + 1/36*a**4 + 82*a. Find x, given that c(x) = 0.
-1, 0
Factor -49*n**3 - 142*n**3 - 480*n**2 + 65271*n - 64 - 36*n**4 - 65655*n - 33*n**3.
-4*(n + 2)**3*(9*n + 2)
Let -130 + 180*t**3 - 902/3*t**4 - 526/3*t + 1292/3*t**2 - 14/3*t**5 = 0. Calculate t.
-65, -1, -3/7, 1
Let u be 16/40*(-50)/(-14) - (-19)/(-28). Let u*x + 3/8*x**2 - 3 = 0. What is x?
-4, 2
Solve 1089/5*x - 3/5*x**2 - 1086/5 = 0.
1, 362
Let a(w) = 6*w + 14. Let m be a(1). Factor -16*u - m*u - 90 - 2*u**2 - 19*u - u**2 - 2*u**2.
-5*(u + 2)*(u + 9)
Find p such that -108 - 243*p - 200*p**2 - 108*p**3 + 52*p - 240*p**2 - 8*p**4 - 181*p + 76*p**2 = 0.
-9, -3, -1, -1/2
Let y = -3 - -6. Let m = 36231/15554 + -97/2222. Let m - 4/7*b**y + 20/7*b**2 - 32/7*b = 0. Calculate b.
1, 2
Let i be 136/1530*(12/16 + 0). Let w(r) be the first derivative of 2/5*r**2 - i*r**3 - 3/5*r + 10. Factor w(s).
-(s - 3)*(s - 1)/5
Let u = -570 + 576. Let s be (-4)/3 - (u + 1494/(-189)). Factor 2/7*z**2 - s*z + 2/7.
2*(z - 1)**2/7
Let d(f) be the third derivative of f**8/56 - 81*f**7/140 + 6*f**6/5 - 19*f**5/40 + 7*f**2 + 53*f. What is n in d(n) = 0?
0, 1/4, 1, 19
Let m be ((-6)/4)/((-21)/70). Let t be 5 - 12/20*m. Factor -67*d + 7 - 17*d + 11 + 98*d**t.
2*(7*d - 3)**2
Let c(d) be the second derivative of -d**4/30 + 7*d**3/15 + 18*d**2/5 - 289*d + 5. Factor c(m).
-2*(m - 9)*(m + 2)/5
Let u be 1745633/(-29736) + ((-2)/14 - 0). Let p = -453/8 - u. Factor -4/9*v**3 + p*v**2 + 0 - 16/9*v.
-4*v*(v - 4)*(v - 1)/9
Let k = 545 - 1088. Let n = k - -543. Suppose -3/8*a**4 + 3/8*a**2 + 3/8*a - 3/8*a**3 + n = 0. W