 of u**5/20 + u**4/12 - u**3/6 - u**2/2 - 54*u. Factor f(t).
(t - 1)*(t + 1)**2
Let g(i) = -2*i + 9. Let x be g(1). Factor 28*q**2 - 14*q**2 + 15*q - x*q**2 - 12*q**2.
-5*q*(q - 3)
Let z(s) be the second derivative of s**5/20 + 47*s**4/84 + 2*s**3/3 - 6*s**2/7 - 384*s. Let z(j) = 0. Calculate j.
-6, -1, 2/7
Factor -12/7 + 4/7*u**2 - 47/7*u.
(u - 12)*(4*u + 1)/7
Let a(t) be the first derivative of 2*t**3/3 + 10*t**2 + 32*t - 401. Let a(i) = 0. Calculate i.
-8, -2
Let r(t) = -t + 8*t + 3 + 0*t + 25. Let h be r(-4). Factor 8/3 - 2/3*z**2 + h*z.
-2*(z - 2)*(z + 2)/3
Suppose -3*h = 4 + 8, v - 4*h = 16. Factor 2/3*t + 3*t**3 + v + 11/3*t**2.
t*(t + 1)*(9*t + 2)/3
Suppose 5*i = -35 - 90. Let k = 31 + i. Suppose -b - 10 + 2*b - 9*b - k - b**2 = 0. Calculate b.
-4
Suppose 4*b - 20 = 3*z, 0*z = -2*b - 3*z - 8. Solve -7*o**b - 3*o**3 + 2*o**2 + 2*o**2 + 6*o**2 = 0 for o.
0, 1
Suppose 1177 = -2*o + 1185. Let d(j) be the second derivative of 1/90*j**o + j + 0*j**3 + 0*j**2 + 0 + 1/150*j**5. Solve d(b) = 0 for b.
-1, 0
Let l(t) be the first derivative of t**7/210 - 7*t**6/120 + t**5/4 - 3*t**4/8 - 9*t**2 - 23. Let k(x) be the second derivative of l(x). Let k(f) = 0. What is f?
0, 1, 3
Let a = 3 - 9. Let u be (-26)/(-42) - a/(-21). Suppose u*m**2 + 0*m + 0 = 0. What is m?
0
Let h = -24027/2 - -12014. Let 3/4*f + 0*f**2 + h - 1/4*f**3 = 0. Calculate f.
-1, 2
Let a = -12 + 15. What is f in -20/11*f**2 + 34/11*f + 2/11*f**a - 16/11 = 0?
1, 8
Let v(y) be the first derivative of 5*y**3/3 - 30*y**2 - 65*y + 101. Factor v(c).
5*(c - 13)*(c + 1)
Let z(g) = -g**2 + 31*g + 363. Let r be z(-9). Solve 1/8*h**2 + 0*h + 1/2*h**4 + 0 - 5/8*h**r = 0 for h.
0, 1/4, 1
Let z(h) be the second derivative of h**5/110 + 13*h**4/22 + 25*h**3/11 + 37*h**2/11 + 246*h. Suppose z(s) = 0. What is s?
-37, -1
Factor 19*g + 4*g**3 - 5*g**3 - 12*g**2 + 4*g**3 - 7*g.
3*g*(g - 2)**2
Factor 0 + 5/4*k**3 + k + 1/4*k**4 + 2*k**2.
k*(k + 1)*(k + 2)**2/4
Let y(j) be the second derivative of -j**8/3920 + j**6/420 - j**4/56 + 5*j**3/6 - 16*j. Let c(m) be the second derivative of y(m). Factor c(u).
-3*(u - 1)**2*(u + 1)**2/7
Suppose -5*r = -2*f + 35, f - 24 = -r - 10. Suppose -4 = 13*n - f*n. Factor -2/3*a - 1/3*a**n + 0.
-a*(a + 2)/3
Let p(q) be the first derivative of 5*q**3/3 - 30*q**2 + 100*q - 158. Factor p(x).
5*(x - 10)*(x - 2)
Let i(c) = c**2 - 9*c + 5. Let s be i(9). Suppose 4*j - 28 = 4*k, -1 = -j - k + s*k. Let j*z + 1 - 4*z**2 + 0 + z**2 - 7 = 0. What is z?
1, 2
Factor -17/9*z**3 - 4/9*z**4 + 0 + 5/9*z + 16/9*z**2.
-z*(z - 1)*(z + 5)*(4*z + 1)/9
Let u be (780/(-18))/10 + (-2 - -7). Solve -8/3*p + u*p**3 + 8/3*p**2 + 0 - 2/3*p**4 = 0.
-2, 0, 1, 2
Let n(t) = -3*t**2 + 2*t - 2*t - 5*t + 0*t**2. Let w(f) = 2*f**2 + 3*f. Let y(u) = -5*n(u) - 8*w(u). Factor y(k).
-k*(k - 1)
Let k(h) = -3*h**2 + 6. Let j be k(-2). Let q(b) = -b - 1. Let s(v) = -6*v**2 - 26*v - 12. Let d(x) = j*q(x) + s(x). Determine c so that d(c) = 0.
-3, -1/3
Suppose -q + 190 = -6*q. Let f be 2/(-9) - q/9. Suppose 22*z**2 + 4*z - f*z**3 - 22*z**2 = 0. Calculate z.
-1, 0, 1
Let p(j) be the third derivative of j**4/12 - 11*j**3/3 - 4*j**2. Let x be p(12). Factor -2/5 + 2/5*z - 2/5*z**3 + 2/5*z**x.
-2*(z - 1)**2*(z + 1)/5
Factor 12/7*k**3 + 4/7*k**4 - 20/7*k**2 + 16/7 - 12/7*k.
4*(k - 1)**2*(k + 1)*(k + 4)/7
Let l = -63 - -83. Let i be ((-8)/l)/(12/(-10)). Factor 0 - v - i*v**2.
-v*(v + 3)/3
Find s such that 256/15 + 2/15*s**5 - 112/15*s**2 + 28/15*s**3 - 64/5*s + 6/5*s**4 = 0.
-4, 1, 2
Let s = 29 - 32. Let j be s + (38/8 - (-4)/16). Factor -3*o - 6/7 + 66/7*o**j.
3*(2*o - 1)*(11*o + 2)/7
Let u(m) be the third derivative of m**2 + 0 + 25/4*m**3 - 5/24*m**4 + 0*m + 1/360*m**5. Factor u(y).
(y - 15)**2/6
Let i(h) be the first derivative of h**6/12 - 11*h**5/10 + 27*h**4/8 - 25*h**3/6 + 2*h**2 + 21. Factor i(v).
v*(v - 8)*(v - 1)**3/2
Let j(u) be the first derivative of -u**4/4 + 10*u**3/3 - 8*u**2 + 2*u - 19. Let n be j(8). Factor -n*a**2 - 2/3*a**3 + 8/3 + 0*a.
-2*(a - 1)*(a + 2)**2/3
Let y(c) be the second derivative of -c**6/120 + c**5/160 + c**4/96 + c - 93. Let y(n) = 0. Calculate n.
-1/2, 0, 1
Let y(f) be the second derivative of -f**6/65 + 7*f**5/65 - 23*f**4/78 + 16*f**3/39 - 4*f**2/13 + 123*f. Find h such that y(h) = 0.
2/3, 1, 2
Let h = 8 - 50. Let o be (53/(-35) - -1)*1120/h. Solve -100/7*i**3 + 180/7*i**2 + 16/7 - o*i = 0 for i.
2/5, 1
Let p be (-40)/(-69) + (-16)/(-184). Factor -2/3*l + 0 + p*l**3 - l**2.
l*(l - 2)*(2*l + 1)/3
Let s(p) be the second derivative of 18*p + 1/10*p**3 + 0*p**2 + 1/15*p**4 - 1/210*p**7 - 1/50*p**5 + 0 - 2/75*p**6. Suppose s(h) = 0. Calculate h.
-3, -1, 0, 1
Let i(f) be the third derivative of -f**5/12 - 35*f**4/24 - 10*f**3 + 16*f**2 - 4. Factor i(m).
-5*(m + 3)*(m + 4)
Solve -6*r**2 - 4*r**2 + 375*r + 5*r**2 - 128 - 51 - 191 = 0.
1, 74
Suppose 5*h = 25, q - 3*q - 5*h + 19 = 0. Let z be 2*(q - -3 - -1). Factor 2*l + 0*l**3 - l**3 + z*l**5 + 0*l - 3*l**3.
2*l*(l - 1)**2*(l + 1)**2
Let f(z) be the third derivative of z**7/280 - 33*z**6/32 + 1113*z**5/10 - 4606*z**4 - 65856*z**3 - 624*z**2. What is k in f(k) = 0?
-3, 56
Let n(k) be the first derivative of 2*k**3/21 + 8*k**2/7 + 32*k/7 + 37. Factor n(l).
2*(l + 4)**2/7
Suppose 15 + 37 = 13*c. Suppose 2*k + 1 = -5, -2*w - 2*k = -c. Suppose -2/3*r**4 + 2/3*r**3 - 2/9*r**2 + 0*r + 0 + 2/9*r**w = 0. Calculate r.
0, 1
Let g(k) be the third derivative of 11*k**10/453600 - 13*k**9/181440 + k**8/30240 + 19*k**5/60 + 16*k**2. Let y(o) be the third derivative of g(o). Factor y(f).
f**2*(f - 1)*(11*f - 2)/3
Suppose -2*p + 3*p = 5*p. Suppose 0 = 2*r + 4, -2*r = 3*q - p*r - 2. Factor 0 + 3/2*k + 3/4*k**4 + 3*k**3 + 15/4*k**q.
3*k*(k + 1)**2*(k + 2)/4
Let s(i) be the second derivative of -i**4/18 - 46*i**3/9 - 15*i**2 - 235*i. Find m such that s(m) = 0.
-45, -1
Let w(a) be the first derivative of a**8/672 - 13*a**7/1680 + a**6/180 + a**5/60 + 10*a**3/3 + 11. Let t(v) be the third derivative of w(v). Solve t(m) = 0.
-2/5, 0, 1, 2
Let s = 22067 + -44133/2. Suppose 7/2*p**2 - s - 5/2*p**3 - 3*p**4 + 5/2*p = 0. Calculate p.
-1, 1/6, 1
Let z = -69 - -85. Suppose 0 = -3*d + 2*t + 8, -3*d + 2*d - 4*t - z = 0. Factor 2/7*w**2 + 2/7*w**3 + d + 0*w.
2*w**2*(w + 1)/7
Let h = 2071/6888 - 1/328. Let c = -1/21 + h. Determine j, given that 0 - 1/2*j - c*j**2 = 0.
-2, 0
Let n(d) be the second derivative of 0 - 244/45*d**5 - 4/9*d**2 + 16/3*d**6 + 2*d + 5/6*d**4 + 8/9*d**3. What is f in n(f) = 0?
-2/9, 1/4, 2/5
Let w(q) be the second derivative of q**9/3780 + q**8/840 + q**7/630 + 17*q**4/12 - 5*q. Let t(a) be the third derivative of w(a). Factor t(n).
4*n**2*(n + 1)**2
Let a(h) be the third derivative of h**10/151200 - h**8/10080 + h**6/720 - h**5/15 - 19*h**2. Let i(u) be the third derivative of a(u). Factor i(d).
(d - 1)**2*(d + 1)**2
Let a = -77 - -82. Factor u - 10*u - 10*u**2 + 7*u**2 - 11 + a.
-3*(u + 1)*(u + 2)
Let y(o) = -2*o**2 + 10*o + 312. Let a be y(15). Let n(u) be the second derivative of 0*u**2 + 1/3*u**4 + 0 - 4/3*u**3 - a*u. Solve n(r) = 0.
0, 2
Let z(p) = p**3 - 6*p**2 + 2. Let f be z(6). Suppose 3*u - f*c = -10, -u = c - 0 - 5. Suppose u - 2/11*r + 2/11*r**2 = 0. Calculate r.
0, 1
Let h = 42/1739 - 916789/13912. Let u = h - -66. Find v, given that 0 + u*v**3 - 1/8*v**2 + 0*v = 0.
0, 1
Let l(y) = 35*y**2 - 385*y + 120. Let m(d) = -d**2 - 4. Let z(q) = -l(q) - 30*m(q). Determine i, given that z(i) = 0.
0, 77
Let h = 26 + -24. Suppose -k + 52*k**h - 48*k**2 - 3*k = 0. Calculate k.
0, 1
Let n be (2*(-4)/8 + 6)/(30/12). Find m such that -5/2*m - 5/4*m**n + 0 = 0.
-2, 0
Let t be ((-8)/10 - -2)*(-14)/(-21). Let c = -3/5 + t. Factor -2/5*i**2 + 0*i**3 + 1/5*i**5 + 0 - c*i + 2/5*i**4.
i*(i - 1)*(i + 1)**3/5
Let n(i) be the third derivative of i**7/70 - 33*i**6/40 + 253*i**5/20 + 357*i**4/8 - 289*i**3 - 345*i**2. Factor n(h).
3*(h - 17)**2*(h - 1)*(h + 2)
Suppose g - 5 = -0*g. Let v = 11 - g. Find u, given that -28*u**5 - 12*u**3 + 16*u**5 + 9*u - v + 15*u**5 + 6*u**2 = 0.
-2, -1, 1
Let n be 12/66 - 700/(-22). Let v be (-32)/(-144) + n/18. Suppose u**3 - u**v + 0*u**3 - u**5 + 0*u**4 + u**4 + 0*u**2 = 0. What is u?
-1, 0, 1
Factor -1/2*d**2 + 8*d - 14.
-(d - 14)*(d - 2)/2
Suppose 23*o = 12*o - 176. Let i be (-7)/(-56) - 46/o. Factor 0*z**4 + z**i - 1/2 - 1/4*z*