third derivative of 0 + 0*o - 4*o**2 + 0*o**4 + 1/27*o**3 - 1/270*o**5. Factor h(d).
-2*(d - 1)*(d + 1)/9
Let s(l) = -3*l**2 + 12*l. Let f(a) = -a**3 - a**2 - a. Let q(w) = -3*f(w) - s(w). Factor q(p).
3*p*(p - 1)*(p + 3)
Let j(q) be the first derivative of 5/3*q**3 - 7*q + 4 + 2*q**2 + 2/3*q**4 + 1/10*q**5. Let p(o) be the first derivative of j(o). Suppose p(r) = 0. Calculate r.
-2, -1
Suppose -2*u - 6*b + 22 = -b, -13 = -u - 3*b. Let z be 5/20 + (-1)/(-4). Factor 1/2*l + u - z*l**2.
-(l - 2)*(l + 1)/2
Suppose -3*z = -4*u + 5, 0*z + 3*z = 15. Factor 0 + 0*g**2 + 1/2*g**u + 0*g - 1/2*g**4 + 0*g**3.
g**4*(g - 1)/2
Find k, given that -8/3 - 20/3*k - 43/3*k**3 + 3*k**4 + 62/3*k**2 = 0.
-2/9, 1, 2
Let r = 187101/10 + -18710. Factor 9/5*i + r*i**4 + 27/10 - 6/5*i**2 - 1/5*i**3.
(i - 3)**2*(i + 1)*(i + 3)/10
Let d(v) = v**3 - 11*v**2 + 9*v + 13. Let u = -58 + 68. Let p be d(u). Solve -45/4*y - 3/2 + 192*y**4 + 189/2*y**p - 33/4*y**2 + 72*y**5 = 0 for y.
-2, -1/2, -1/4, 1/3
Factor 15*f**2 + 484/3 + 1/3*f**3 + 176*f.
(f + 1)*(f + 22)**2/3
Let o(b) = -41 - b + 5 + 3*b - 4*b. Let f be o(-20). Factor 3*q**3 + 0 - 3*q + 3/2*q**f - 3/2*q**2.
3*q*(q - 1)*(q + 1)*(q + 2)/2
Let y(m) be the second derivative of -m**7/98 + m**6/10 - 9*m**5/28 + 9*m**4/28 - 57*m - 1. Factor y(r).
-3*r**2*(r - 3)**2*(r - 1)/7
Let i(a) = -15*a**5 - 61*a**4 + 252*a**3 - 140*a**2. Let x(h) = -15*h**5 - 62*h**4 + 254*h**3 - 140*h**2. Let g(p) = 3*i(p) - 4*x(p). Let g(q) = 0. What is q?
-7, 0, 2/3, 2
Let f(r) be the second derivative of -r**4/66 + 10*r**3/33 - 2*r + 18. Factor f(j).
-2*j*(j - 10)/11
Factor 4/7*t**2 + 8*t + 96/7.
4*(t + 2)*(t + 12)/7
Let -64*w**3 - 10*w**2 + 26*w**3 + 23*w**3 + 10*w**4 = 0. What is w?
-1/2, 0, 2
Suppose -8*l = -18 - 6. Let r(i) be the first derivative of -3/8*i**4 + 7/6*i**l + 0*i - 1/2*i**2 - 2. Factor r(t).
-t*(t - 2)*(3*t - 1)/2
Factor 9/2 - 33/2*s + 12*s**2.
3*(s - 1)*(8*s - 3)/2
Factor -2 - 2/3*n**2 - 8/3*n.
-2*(n + 1)*(n + 3)/3
Let p(b) be the third derivative of 0*b - 1/36*b**4 + 1/90*b**7 + 0 + 0*b**3 - 1/60*b**5 + 1/120*b**6 - 23*b**2 + 1/336*b**8. Factor p(f).
f*(f + 1)**3*(3*f - 2)/3
Let o(t) be the third derivative of -t**6/56 + 19*t**5/70 + 29*t**4/14 + 20*t**3/7 - 472*t**2. Suppose o(j) = 0. What is j?
-2, -2/5, 10
Let m(c) be the third derivative of 0*c - 1/735*c**7 + 13*c**2 + 0*c**3 + 0*c**5 - 1/2352*c**8 + 0 - 1/840*c**6 + 0*c**4. Determine s, given that m(s) = 0.
-1, 0
Let m = 38 - 36. Factor 5*n + 0 - m - 2*n - n**2 + 0.
-(n - 2)*(n - 1)
Suppose -4*v = -4*h, -4*v = 5*h + 14 - 50. Solve -3*p**2 + p**3 + 14 + 2*p**h + 2*p - 2*p**2 - 14 = 0.
-2, 0, 1/2, 1
Suppose 13*z + 231 = 270. Find m, given that -4/5*m**2 + 0 + 2/5*m**z + 2/5*m = 0.
0, 1
Let q = -156 - -141. Let z(a) = a + 18. Let d be z(q). Factor -4/3*y**4 + 0*y - 2/3*y**2 + 5/3*y**d + 1/3*y**5 + 0.
y**2*(y - 2)*(y - 1)**2/3
Let j(y) be the second derivative of y**6/6 + 363*y**5/20 + 2343*y**4/4 + 15505*y**3/6 - 3675*y**2 - 125*y. Factor j(z).
(z + 3)*(z + 35)**2*(5*z - 2)
Let o(t) be the third derivative of t**9/90720 - t**8/15120 + t**7/7560 + 7*t**5/12 + 14*t**2. Let n(s) be the third derivative of o(s). Factor n(q).
2*q*(q - 1)**2/3
Let w(b) be the second derivative of -1/378*b**7 - 1/9*b**2 + 5/54*b**3 + 25*b - 1/54*b**4 - 1/45*b**5 + 2/135*b**6 + 0. Determine c so that w(c) = 0.
-1, 1, 2
Let n(y) be the third derivative of y**7/42 + y**6/6 - 5*y**5/12 - 2*y**2 + 17. Factor n(s).
5*s**2*(s - 1)*(s + 5)
Let m(d) = -7*d - 80. Let q be m(-12). Let t(j) be the second derivative of -18*j**2 - 4*j**3 + 3*j + 0 - 1/3*j**q. Factor t(o).
-4*(o + 3)**2
Let c = -7 + 9. Suppose -g = -c*j + 1, 4*j + 4*g - 32 = -0*j. Let y**2 + 2*y**2 - j*y**2 + 6*y**4 + 2*y**2 + 8*y**3 = 0. What is y?
-1, -1/3, 0
Suppose 2*i = 5*r - 16, 5*r - 22 = -4*i + 3*i. Factor 10*v - 103*v**2 + 5*v**3 + 66*v**i + 52*v**2.
5*v*(v + 1)*(v + 2)
Let v be (28/(-63))/2*-3532. Let f = v - 784. Find b such that 22/9*b**2 + 0 + 4/9*b + 26/9*b**3 + f*b**4 = 0.
-2, -1, -1/4, 0
Let j(p) be the third derivative of -3*p**5/20 + 19*p**4/24 - 31*p**3/6 - 9*p**2. Let v(m) = 22*m**2 - 48*m + 78. Let r(y) = -12*j(y) - 5*v(y). Factor r(l).
-2*(l - 3)**2
Let z(v) = -v**2 + 2*v - 29. Let i(c) = -3*c + 33. Let o(w) = -4*i(w) - 3*z(w). Factor o(g).
3*(g - 3)*(g + 5)
Let j(r) be the second derivative of 12*r + 0*r**2 + 1/240*r**6 + 0 + 1/2*r**3 - 1/48*r**4 - 1/120*r**5. Let y(d) be the second derivative of j(d). Factor y(p).
(p - 1)*(3*p + 1)/2
Let m(z) be the second derivative of -z**4/3 - 4*z. Let o(p) = -4*p**2. Let n(u) = -3*m(u) + 4*o(u). Factor n(b).
-4*b**2
Let v = -71 + 88. Suppose 17 = -2*w + v. Factor 0*l + 0*l**2 + 2/3*l**5 + w + 0*l**4 + 0*l**3.
2*l**5/3
Let d(o) be the first derivative of -3/7*o**3 - 3/28*o**4 + 0*o + 33 - 3/7*o**2. Factor d(f).
-3*f*(f + 1)*(f + 2)/7
Let f(n) be the first derivative of -n**4/12 - 4*n**3/3 - 7*n**2/2 - 10*n/3 - 121. Solve f(u) = 0.
-10, -1
Suppose -c + 4380 = 2*o + 4373, -3*o + c = -3. Factor -8/7*r + 8/7 + 2/7*r**o.
2*(r - 2)**2/7
Determine g, given that -4/3*g - 1/3*g**2 + 5/3 = 0.
-5, 1
Let l be 1*-1*(-56)/8. Let y be 2/6 - (-20)/12. Find k such that -2*k - 2 - 8*k**3 - 12*k**2 - l*k - y*k**4 + k = 0.
-1
Suppose -63 = -75*j + 96 - 9. Solve 0 - 3/4*n**j + 0*n = 0.
0
Let c(s) be the first derivative of s**7/280 - s**5/40 - s**3 - 8. Let d(u) be the third derivative of c(u). Factor d(m).
3*m*(m - 1)*(m + 1)
Let k(j) = -j**3 - j**2 + 2*j. Let h(o) = -9*o**3 + 24*o - 24. Let t(v) = h(v) - 6*k(v). Factor t(b).
-3*(b - 2)**2*(b + 2)
Let s(o) be the second derivative of -3/28*o**4 + 1/98*o**7 + 0 + 3/140*o**5 - 1/7*o**3 + 3/70*o**6 + 0*o**2 - 12*o. Solve s(g) = 0.
-2, -1, 0, 1
Let d be ((-9)/6)/((-6)/8). Suppose h = 5*r + 2, 3*r - 2 = -3*h + d*h. Suppose 2/11*g + 0 + r*g**2 - 2/11*g**3 = 0. What is g?
-1, 0, 1
Let k(y) be the third derivative of y**9/3780 - y**8/840 + y**7/630 + y**4/24 - y**2. Let s(d) be the second derivative of k(d). Determine n so that s(n) = 0.
0, 1
Let z = -572/9 - -64. Suppose 0 = n + 2*n. Factor n*r**3 + 0 - z*r**4 - 2/9*r**5 + 0*r**2 + 0*r.
-2*r**4*(r + 2)/9
Suppose -2*v + 8 = 2*v. Suppose -4*l - 6 = 4*f - 22, -v*f - 5*l + 2 = 0. Solve j**2 - 3 + 0 + 6*j + 2*j**2 + f = 0 for j.
-1
Let k(p) = -2*p**3 - 3*p**2 + 6*p - 5. Let o(j) = -j**3 - j**2 - j - 1. Let r = 10 + -7. Let b(d) = r*o(d) - 3*k(d). What is a in b(a) = 0?
-4, 1
Suppose 2*j = -3*p - 2, j - 4*j = p + 3. Let w be 0/(((-12)/(-2))/(-7 + 9)). What is r in -1/4*r**4 + 1/2*r**2 - 1/4 + p*r + w*r**3 = 0?
-1, 1
Let v(t) = 16*t**3 - 26*t**2 - 47*t - 71. Let q(d) = 3*d**3 - 5*d**2 - 10*d - 14. Let y(w) = -33*q(w) + 6*v(w). Factor y(j).
-3*(j - 6)*(j + 1)*(j + 2)
Factor 43/4*w**3 + 0*w + 3/2*w**2 + 7/4*w**4 + 0.
w**2*(w + 6)*(7*w + 1)/4
Let x(y) be the third derivative of -y**7/105 + 2*y**6/15 - y**5/2 - 286*y**2. Let x(s) = 0. What is s?
0, 3, 5
Let s = -176 - -180. Suppose s*n + n = 0, 5*n = 3*l - 30. Factor -2 + l*o - 9/2*o**2.
-(o - 2)*(9*o - 2)/2
Let i(v) be the third derivative of v**8/2240 - v**6/240 - v**4/12 - v**2. Let x(d) be the second derivative of i(d). Factor x(q).
3*q*(q - 1)*(q + 1)
Let m be (-5 - -6)*(-2 - -2). Let f(c) be the second derivative of -1/8*c**5 - 3*c - 1/2*c**4 + m*c**2 - 1/3*c**3 + 0. Factor f(p).
-p*(p + 2)*(5*p + 2)/2
Let h(o) be the first derivative of -o**2 - 4 - 2/3*o**3 + 12*o. Factor h(l).
-2*(l - 2)*(l + 3)
Let y(k) = 4*k + 22. Let f be y(-5). Let 6*a - 1 + 0 - f*a**2 + 1 = 0. What is a?
0, 3
Suppose j + 2*h = 2, -2*j = -j + 5*h - 5. Factor 0*s + 0*s**2 - 2/3*s**4 - 1/3*s**3 - 1/3*s**5 + j.
-s**3*(s + 1)**2/3
Let g(n) be the first derivative of -n + 1/18*n**3 - 1/12*n**2 + 40. Solve g(d) = 0 for d.
-2, 3
Suppose 48/17*q**3 + 0 + 2/17*q**5 + 32/17*q - 16/17*q**4 - 64/17*q**2 = 0. Calculate q.
0, 2
Let u = 270 - 268. Let m(g) be the first derivative of 1/4*g**4 - g**2 - 1/3*g**3 - u + 0*g. Factor m(c).
c*(c - 2)*(c + 1)
Let n be (-30)/(3 - 6 - -1). Factor -66*q**3 + 4*q**4 + 63*q + 52*q**2 + 16 + 90*q**3 - n*q.
4*(q + 1)**2*(q + 2)**2
Let d be ((-65)/(-10) + -3)/(126/72). What is c in 2 + 9/2*c**d + 6*c = 0?
-2/3
Let s(k) = k**3 + 6*k**2 + 2. Let n be s(-6). Let h = 82167 - 410831/5. Determine p so that -2/5 - 2/5*p**n - h*p = 0.
-1
Let k(u) = u**3 + 3*u**2 - 15*u - 25. Let l be k