rd derivative of -x**9/12096 + x**7/560 - x**6/180 + x**5/160 + 13*x**3/3 + 13*x**2. Let b(p) be the first derivative of v(p). Factor b(k).
-k*(k - 1)**3*(k + 3)/4
Let h be 3 - ((-2 - -5) + 16). Let r = -14 - h. Suppose 2 + 0 + 2 - 2*s - r*s**2 = 0. What is s?
-2, 1
Let y(t) be the third derivative of t**8/840 + t**7/140 + t**6/90 + 13*t**3/6 - 11*t**2. Let r(m) be the first derivative of y(m). Factor r(j).
2*j**2*(j + 1)*(j + 2)
Suppose 0 = 3*o + 150 - 3. Let p be (1*-1)/(7/o). Factor -8*c - 2 + c**2 + 0*c**2 + p*c.
(c - 2)*(c + 1)
Let u(q) be the second derivative of -q**8/10080 + q**6/360 + q**5/90 + 11*q**4/6 + 23*q. Let b(c) be the third derivative of u(c). Factor b(s).
-2*(s - 2)*(s + 1)**2/3
Let y(f) = -8*f**4 - 412*f**3 + 16*f**2 + 408*f. Let w(j) = -j**4 - j**3 + 3*j**2. Let z(a) = -4*w(a) + y(a). Factor z(o).
-4*o*(o - 1)*(o + 1)*(o + 102)
Let 0 - 36*j**3 + 0*j + 64*j**2 + 6*j**4 - 1/4*j**5 = 0. What is j?
0, 4, 16
Let t(w) = -w**2 + w + 2. Let b be t(2). Let u be 2 - (-2 + b + (2 - -2)). Factor -2/13*q**2 + u - 4/13*q.
-2*q*(q + 2)/13
Let i = -84 - -86. Suppose -i*t - 3*m = t + 6, -m - 8 = -t. Factor -1 - 5/2*d**t + 3/2*d**4 + d**5 - 9/2*d - 13/2*d**2.
(d - 2)*(d + 1)**3*(2*d + 1)/2
Let z(b) = -b**3 - b**2 - b. Let k(s) be the first derivative of -2*s**4 - 38*s**3/3 - 43*s**2/2 + 80*s - 24. Let a(x) = k(x) - 3*z(x). Factor a(c).
-5*(c - 1)*(c + 4)**2
Suppose -9*j + j = -112. Let q = j - 41/3. Solve -1/3 + q*p**2 + 0*p = 0.
-1, 1
Factor 98*z**4 - 338*z**2 + 52*z**3 - 203*z**4 + 103*z**4.
-2*z**2*(z - 13)**2
Let r be 2/(-5)*-5 - 63. Let f = 66 + r. Factor -3/5*p + 3/5*p**4 + 1/5*p**f - 2/5*p**2 + 2/5*p**3 - 1/5.
(p - 1)*(p + 1)**4/5
Let v(c) = -2727*c**2 - 1173*c - 95. Let o(u) = -1363*u**2 - 586*u - 46. Let h(s) = -11*o(s) + 6*v(s). Find l such that h(l) = 0.
-8/37
Suppose 0 = 4*i + i. Suppose i + 4 = 2*s. Factor 3*z**2 + 5*z**s - 3*z**2 - 4 - z**2.
4*(z - 1)*(z + 1)
Let n be ((-10)/3)/((-2)/(-6)). Let y be n/(-4) + 2/4. Factor -4*s**3 + 7*s**y + 2*s**2 - 5*s**3.
-2*s**2*(s - 1)
Factor 21/8*c**2 + 27/8 + 51/8*c - 3/8*c**3.
-3*(c - 9)*(c + 1)**2/8
Solve -18 - 3/4*z**2 - 21/2*z = 0 for z.
-12, -2
Let h = -22939 - -69175/3. Let -368/9*t + h*t**2 + 32/9 + 56/9*t**4 - 470/9*t**3 = 0. What is t?
1/7, 1/4, 4
Let m(s) be the third derivative of s**6/240 + s**5/15 + 13*s**4/48 + s**3/2 - 44*s**2 + 2*s. Factor m(v).
(v + 1)**2*(v + 6)/2
Suppose -13*r = 7*r - 7920. Let b be 6/5*220/r. Factor 8/3*p + b + 8/3*p**2.
2*(2*p + 1)**2/3
Suppose -4*d + 13 = d - 2*h, -4*d + 3*h = -9. Suppose 4*n = d*q - 6, 0 = 3*n + 2*q - 7*q + 10. Factor -3*m**2 - m + n*m**2 + 4*m**2 + 0*m.
m*(m - 1)
Let h(p) be the second derivative of -7*p**6/50 + 81*p**5/50 - 33*p**4/20 - 7*p**3/5 - 262*p. Suppose h(k) = 0. What is k?
-2/7, 0, 1, 7
Let g(k) = -k**2 + k. Let y(q) = -5*q**2 + 137*q + 136. Let v(j) = -3*g(j) + y(j). Let v(u) = 0. What is u?
-1, 68
Let n(w) be the first derivative of -5*w**4/16 + w**3/3 + 11*w**2/8 + w/2 - 44. Let n(b) = 0. What is b?
-1, -1/5, 2
Let k(b) = 2*b - 2. Let v be k(6). Let g(l) = -l**3 + 10*l**2 + 3. Let i be g(v). Factor 2*w**4 + w**3 + 0*w**3 - 3*w**3 - 2*w**i.
2*w**3*(w - 2)
Let r be 60/5 - 7 - (4 - (3 + -2)). What is g in -4/3 + 1/3*g**r + 0*g = 0?
-2, 2
Suppose -4*j - 8 = -4*i, 5 = -4*i - i + 2*j. Let f(p) = -p - 1. Let s be f(i). Factor -s - x**4 + 0 + 2 - x**3.
-x**3*(x + 1)
Let -4*k**3 - 10*k + 6*k - 3 + 8*k**2 + 3 = 0. What is k?
0, 1
Let f(k) be the second derivative of -1/6*k**3 + 7/2*k**2 + 0 + 1/180*k**5 - 1/36*k**4 + 6*k. Let n(r) be the first derivative of f(r). Solve n(o) = 0.
-1, 3
Let o be 38/12 + 17/(-102). Suppose 0 = -o*w - 2*w. Find j such that 11*j - 24*j**2 + 2 + 4 + 10*j - 84*j**3 + w = 0.
-1/2, -2/7, 1/2
Let z be (44/18 + -2)*33/(-154)*-7. Factor -z + 4/9*o + 2/9*o**2.
2*(o - 1)*(o + 3)/9
Let b = -538 - -540. Solve 0 - 2/3*y**b - 2/3*y = 0.
-1, 0
Solve 7/6*g**2 - 7/6*g**3 - 2/3*g**4 + 5/3*g + 0 = 0 for g.
-2, -1, 0, 5/4
Let f(j) be the second derivative of -j**5/5 + 2*j**4 + 14*j**3/3 - 30*j. Factor f(u).
-4*u*(u - 7)*(u + 1)
Factor -8*l**2 + 112 - 15*l**2 + 137 + 26*l**2 - 6 + 54*l.
3*(l + 9)**2
Let x(p) be the third derivative of 0*p + 13/30*p**5 + p**3 + 6*p**2 + 0 - 13/12*p**4 - 1/20*p**6. Solve x(l) = 0 for l.
1/3, 1, 3
Suppose -2/17*s**2 + 0 + 0*s = 0. What is s?
0
Let m(z) be the first derivative of 2*z**5/45 + 13*z**4/18 + 38*z**3/9 + 11*z**2 + 12*z - 25. Solve m(k) = 0.
-6, -3, -1
Factor -8/3*i**2 + 2/3 - i - i**3.
-(i + 1)*(i + 2)*(3*i - 1)/3
Let g(w) be the first derivative of w**6/200 - 3*w**4/40 + w**3/5 + 4*w**2 - 12. Let j(p) be the second derivative of g(p). Factor j(v).
3*(v - 1)**2*(v + 2)/5
Let m(n) be the first derivative of n**6/6 + n**5 + 3*n**4/4 - 17*n**3/3 - 14*n**2 - 12*n + 47. Determine b so that m(b) = 0.
-3, -2, -1, 2
Let b = -3 + -12. Let r be 18/10*(-50)/b. Factor -45*w**3 - 40*w**4 - 37*w**4 + 21*w**4 - 16*w**4 + 48*w**5 - r*w**2.
3*w**2*(w - 2)*(4*w + 1)**2
Let a(z) = -9*z**2 + 135*z + 3. Let p be a(15). Determine y, given that y**2 + 4/3*y - 2/3*y**p - 4/3 - 1/3*y**4 = 0.
-2, 1
Let o(k) = 5*k**4 - 770*k**3 + 15*k - 30. Let g(f) = f**4 - 110*f**3 + 2*f - 4. Let p(t) = -15*g(t) + 2*o(t). Solve p(l) = 0 for l.
0, 22
Factor 17*c**2 + 2*c**3 + 0*c**3 + 1566*c + 1458 + 109*c**2 - 16*c**2.
2*(c + 1)*(c + 27)**2
Find r such that 71739*r - 72127*r + 0 - 2*r**2 + 0 = 0.
-194, 0
Let a(r) = 7*r - 5. Let d be a(1). What is w in -15*w**5 + 30*w**d + 3*w**4 - 30*w**4 - 71*w + 6*w**3 - 3 + 80*w = 0?
-1, 1/5, 1
Factor 16/3 + 40*h**2 - 25/3*h**3 - 28*h.
-(h - 4)*(5*h - 2)**2/3
Let a(n) = -33 + 9*n + 38 + 3*n - 9*n**2 + 11. Let j(g) = 10*g**2 - 12*g - 16. Let b(z) = -6*a(z) - 5*j(z). Find k such that b(k) = 0.
-1, 4
Let h be (-16)/(-2) + (-16 - -19). Suppose -h*p = -13*p + 4. Factor 2 - 2*v**p - v - 2*v**2 + 2 - 2*v**3 + 3*v.
-2*(v - 1)*(v + 1)*(v + 2)
Let j(g) = -g**2 - 3*g. Let h(q) be the third derivative of -q**5/60 - q**4/6 + 4*q**2. Let f(s) = -4*h(s) + 5*j(s). Factor f(z).
-z*(z - 1)
Let g(b) be the third derivative of b**9/30240 + b**8/3360 + b**7/1260 - b**5/5 - 13*b**2. Let p(d) be the third derivative of g(d). Let p(n) = 0. Calculate n.
-2, -1, 0
Let a be (-18)/3 - (-1308)/216. Let r(u) be the third derivative of -1/90*u**5 + 0 + 0*u + 0*u**3 - a*u**4 - 4*u**2. Factor r(b).
-2*b*(b + 2)/3
Let i(v) be the third derivative of 3*v**2 + 5/4*v**3 + 0 - 3/8*v**4 + 1/40*v**5 + 0*v. Factor i(j).
3*(j - 5)*(j - 1)/2
Let u(k) = k - 1 - 4*k**3 + 2*k**3 - 3 - k**2 + k**3. Let o be u(-3). Let v**2 + 14*v - 4*v**2 - o*v = 0. Calculate v.
0, 1
Let n = 6/61 - -49/122. Let o(m) be the first derivative of 0*m + 3 + n*m**2 + 11/6*m**3. Factor o(t).
t*(11*t + 2)/2
Let r be (-1)/2*2 - -6. Let t be r - 4 - -2*1. Factor 8 - 9 + j + 0*j**3 - j**t + j**2.
-(j - 1)**2*(j + 1)
Let b(d) be the first derivative of d**6/42 + 11*d**5/35 - 25*d**4/28 + 13*d**3/21 + 131. Factor b(t).
t**2*(t - 1)**2*(t + 13)/7
Let h(d) be the second derivative of d**4/54 - 16*d**3/27 + 13*d**2/3 - 4*d + 5. Let h(p) = 0. Calculate p.
3, 13
Let j(t) be the first derivative of 32*t**6/3 + 288*t**5/5 - 55*t**4 - 268*t**3/3 + 78*t**2 - 20*t + 43. Solve j(g) = 0 for g.
-5, -1, 1/4, 1
Suppose 6*h - 4*h = 28. Let o be 132/77 + 4/h. Factor -2 - 4/3*w - 2/9*w**o.
-2*(w + 3)**2/9
Let p(f) = 46*f + 374. Let y be p(-8). Factor -4*m**2 - 9/4 - y*m.
-(4*m + 3)**2/4
Find l, given that -2/15*l**4 - 128/15 - 104/15*l**2 + 8/5*l**3 + 64/5*l = 0.
2, 4
Let m(s) be the second derivative of 0 - 3/140*s**5 + 0*s**6 + 0*s**2 + 0*s**4 + 0*s**3 + 1/98*s**7 + 7*s. Suppose m(a) = 0. Calculate a.
-1, 0, 1
Let a(q) be the second derivative of -q**6/270 + 13*q**5/90 - 25*q**4/108 + q - 14. Factor a(r).
-r**2*(r - 25)*(r - 1)/9
Let l be ((-3)/(-30))/(18/45). Find q, given that 9/4*q**2 + 5/4*q**3 + 1/2 + 7/4*q + l*q**4 = 0.
-2, -1
Suppose -145 = 13*c - 171. Factor -n + n**3 + 1/2 + 0*n**c - 1/2*n**4.
-(n - 1)**3*(n + 1)/2
Let p be -10*((-6)/(-4))/((-150)/40). Factor 3*m**4 - 3*m**5 - 27*m**p + 22*m**3 + 5*m**3.
-3*m**3*(m - 1)*(m + 9)
Let r = 315 + -943/3. Let g(k) = k**3 - 7*k**2 + k - 3. Let o be g(7). Factor -2/3*l**2 - r*l + 0 + 2/3*l**3 + 2/3*l**o.
2*l*(l - 1)*(l + 1)**2/3
Let h(l) = 7*l**2 - 2*l + 22. Let m(n) = -20*n**2 + 4*n - 65. Let z(r) = -17*h(r) - 6*m(r)