 z such that u(z) = 0.
-2, 1
Let w be ((-66)/(-594))/((-4)/(-3)). Let t(v) be the second derivative of -w*v**4 - 4/3*v**3 - 8*v**2 + 0 + 7*v. Solve t(q) = 0.
-4
Determine s, given that 0 + 8/5*s**3 - 6/5*s**2 - 2/5*s = 0.
-1/4, 0, 1
Factor -3/2 + 41/4*k - 63/4*k**2.
-(7*k - 3)*(9*k - 2)/4
Let i(h) be the second derivative of -7*h**6/75 + 9*h**5/50 - h**4/15 - 6*h. Factor i(c).
-2*c**2*(c - 1)*(7*c - 2)/5
Let l = 49015/42 + -1167. Let q(x) be the third derivative of 0*x + 1/7*x**3 - 4*x**2 + 0 - l*x**4 - 1/210*x**5. Factor q(h).
-2*(h - 1)*(h + 3)/7
Let t(m) be the first derivative of m**6/720 + m**5/30 + m**4/3 + 13*m**3/3 - 8. Let z(n) be the third derivative of t(n). Factor z(h).
(h + 4)**2/2
Suppose -18*w - 110 = -13*w. Let m be 1 + w/(-4) + -5. Factor -m*i + 0 - 3/4*i**2.
-3*i*(i + 2)/4
Solve 5*s**3 - 10*s**2 + 21 - 1 - 5*s - 10 = 0 for s.
-1, 1, 2
Let n be 38 + (2/7 - 16/56). Let v = n - 36. Factor 0 + 1/4*q**v + 1/4*q.
q*(q + 1)/4
Let b(j) be the third derivative of 0*j - 3/40*j**4 - 11/300*j**5 + 1/15*j**3 + 0 + 26*j**2. Factor b(r).
-(r + 1)*(11*r - 2)/5
Let i = -17837 + 17839. Find l, given that 10/9*l**i - 16/9 + 4/9*l + 2/9*l**3 = 0.
-4, -2, 1
Let v(c) be the second derivative of c**5/110 - 31*c**4/66 + 280*c**3/33 - 588*c**2/11 - 172*c. Factor v(n).
2*(n - 14)**2*(n - 3)/11
Suppose 16 + 320 = 4*r. Let f be ((-681)/r + 9)/(2/32). What is p in -4/7*p**5 - 32/7 - f*p**3 - 16*p - 152/7*p**2 - 32/7*p**4 = 0?
-2, -1
Let z(y) be the first derivative of y**5/25 + 9*y**4/20 + 5*y**3/3 + 27*y**2/10 + 2*y - 24. Suppose z(u) = 0. Calculate u.
-5, -2, -1
Let s(l) be the second derivative of -l**8/30240 - l**7/2835 - 11*l**4/4 + 25*l. Let o(c) be the third derivative of s(c). Factor o(x).
-2*x**2*(x + 4)/9
Let n be (-6 + 206 - 2)*(-1)/2. Let z be n/27 + 4*1. Suppose 0 - z*a**5 + 0*a - a**4 - 1/3*a**2 - a**3 = 0. Calculate a.
-1, 0
Let 432/5 - 96/5*t**2 - 3/5*t**4 + 144/5*t - 36/5*t**3 = 0. Calculate t.
-6, -2, 2
Let v(b) be the first derivative of b**6/135 - b**5/30 + b**4/27 - 30*b + 9. Let s(z) be the first derivative of v(z). Factor s(x).
2*x**2*(x - 2)*(x - 1)/9
Let d(n) = 210*n**3 + 350*n**2 - 195*n - 55. Let g = -91 + 36. Let j(h) = -15*h**3 - 25*h**2 + 14*h + 4. Let o(x) = g*j(x) - 4*d(x). Factor o(c).
-5*c*(c + 2)*(3*c - 1)
Factor 0 - 2*f**5 + 2/3*f**2 + 14/3*f**4 - 10/3*f**3 + 0*f.
-2*f**2*(f - 1)**2*(3*f - 1)/3
Let n(s) be the first derivative of s**6/8 + s**5/8 + 18*s - 5. Let i(k) be the first derivative of n(k). Factor i(g).
5*g**3*(3*g + 2)/4
Suppose -o + 3*p = 4, o = -174*p + 176*p. Factor -o*b + 28 + 4/7*b**2.
4*(b - 7)**2/7
Let u(i) = i**4 + 2*i**3 + i + 1. Let c(f) = 4*f**4 + 19*f**3 - 24*f**2 + 25*f + 5. Let o(d) = c(d) - 5*u(d). Factor o(l).
-l*(l - 5)*(l - 2)**2
Let j be 1/(8/(-16) + 1/1). Let n be j/9 + (-375)/(-135). Suppose -4/7*t + 0 + 2/7*t**n - 6/7*t**2 + 6/7*t**4 + 2/7*t**5 = 0. Calculate t.
-2, -1, 0, 1
Let g(c) = c**2 - 14*c + 24. Let a be g(12). Solve 1/4*f**2 + 0 + a*f + 1/4*f**3 = 0 for f.
-1, 0
Let d = 3 + 3. Let i be ((-2)/6)/((-1)/d). Find n such that n + 2 - 2 + 8*n**2 - 7*n**i = 0.
-1, 0
Let b(f) be the second derivative of f**4/6 - 8*f**3/3 + 16*f**2 + 70*f. Factor b(z).
2*(z - 4)**2
Let i = -1552 - -1556. Let -2/3*o**5 + 20/9*o**3 + 16/9*o + 10/9*o**i - 40/9*o**2 + 0 = 0. Calculate o.
-2, 0, 2/3, 1, 2
Suppose 3*x - 2*q + 27 = 5, q + 4 = -x. Let y be (-8)/((-16)/x) + 3. Let 0*s + 2/11*s**4 - 2/11*s**2 + 0 + y*s**3 = 0. Calculate s.
-1, 0, 1
Let n(m) be the second derivative of -27*m**7/7 - 639*m**6/55 - 702*m**5/55 - 56*m**4/11 + 32*m**3/33 + 16*m**2/11 + 28*m. Suppose n(z) = 0. Calculate z.
-2/3, -1/3, 2/11
Let y be 0/(((-20)/(-80))/(1/(-8))). Let j(p) be the first derivative of -5/12*p**4 + y*p + 0*p**2 + 2/9*p**3 - 2. Factor j(t).
-t**2*(5*t - 2)/3
Factor -1/2*d**4 - 13/2*d + 3 + 7/2*d**2 + 1/2*d**3.
-(d - 2)*(d - 1)**2*(d + 3)/2
Let b(d) be the second derivative of -d**4/12 - 38*d**3/3 - 722*d**2 - 46*d - 3. Factor b(r).
-(r + 38)**2
Let d(w) be the third derivative of 1/12*w**6 + 0*w**5 + 0 + 0*w - 15*w**2 + 0*w**4 + 0*w**3 - 1/42*w**7. Factor d(c).
-5*c**3*(c - 2)
Let r(d) be the second derivative of -d**5/30 + 5*d**4/18 - d**3/3 - 3*d**2 + 2*d - 10. Find t, given that r(t) = 0.
-1, 3
Let y(c) = -85*c + 6 + 3 + 86*c. Let n be y(-5). Determine v, given that -4*v - 5*v**3 - n*v**2 - 2*v**2 + 3*v**3 = 0.
-2, -1, 0
Suppose 0 = -4*l - k - 1, -5*l + 2*l - 2 = 2*k. Suppose 0 = -2*a - 3*o + 8, -3*a + 0*o + 5*o + 12 = l. Solve i - 3 + i**2 + 7 - i - a*i = 0 for i.
2
Factor -6/5*y + 1 + 1/5*y**2.
(y - 5)*(y - 1)/5
Let h(k) be the second derivative of -23/6*k**3 - 7/12*k**4 - 3*k**2 + 0 - 12*k. Factor h(l).
-(l + 3)*(7*l + 2)
Let v = -118 - -120. Suppose -12*z**2 - 66*z + 5*z**3 + 61*z + 2*z**v + 10 = 0. Calculate z.
-1, 1, 2
Let g(f) be the first derivative of -5*f**4/16 + 5*f**3/2 + 35*f**2/8 - 177. Find x such that g(x) = 0.
-1, 0, 7
Let q(k) be the third derivative of 1 + 0*k + 3*k**2 - 1/40*k**5 + 1/48*k**4 + 1/6*k**3 + 1/420*k**7 - 1/240*k**6. Factor q(s).
(s - 2)*(s - 1)*(s + 1)**2/2
Let t(c) be the second derivative of -1/2*c**3 + 0 - 3/100*c**5 + 1/5*c**4 - 2*c + 3/5*c**2. Find f, given that t(f) = 0.
1, 2
Let z = -1759/66 + 161/6. Factor z*w**2 - 12/11*w + 18/11.
2*(w - 3)**2/11
Factor 4*i + 3*i**2 + 561 - i**2 - 561.
2*i*(i + 2)
Let v(k) be the second derivative of k**7/126 + k**6/30 - k**5/30 - k**4/6 + k**3/18 + k**2/2 + 207*k. Find u, given that v(u) = 0.
-3, -1, 1
Let q(r) be the second derivative of -r**6/345 - 2*r**5/115 + r**4/23 + 4*r**3/69 - 5*r**2/23 - 5*r - 10. Suppose q(k) = 0. Calculate k.
-5, -1, 1
Let h(n) be the second derivative of -1/3*n**6 + 0 + 0*n**5 + 32*n + 5/6*n**4 + 5/6*n**3 - 5/42*n**7 + 0*n**2. Factor h(k).
-5*k*(k - 1)*(k + 1)**3
Let y(d) be the first derivative of -d**4/14 - 50*d**3/21 - 123*d**2/7 - 342*d/7 + 343. Factor y(b).
-2*(b + 3)**2*(b + 19)/7
Let j = 208 + -1039/5. Let k(c) be the third derivative of 0*c + 3/20*c**6 + 1/12*c**4 - j*c**5 + 0*c**3 + 3*c**2 - 4/105*c**7 + 0. Factor k(n).
-2*n*(n - 1)**2*(4*n - 1)
Suppose 4*w = 3 + 13. Factor -56*q + 66*q + 4 + w + 2*q**2.
2*(q + 1)*(q + 4)
Let b(q) be the second derivative of q**5/120 + 2*q**4/9 - 19*q**3/36 - 17*q**2/6 + 38*q - 2. Factor b(f).
(f - 2)*(f + 1)*(f + 17)/6
Let q = -74 - -76. Factor 19*g + 112 + 13*g - 31 + 175 + g**q.
(g + 16)**2
Let g(m) be the first derivative of -3*m**2 + 3*m - 4 - 3/16*m**4 + 5/4*m**3. Suppose g(f) = 0. Calculate f.
1, 2
Let n be (-6)/72*22 - (2 - 4). Factor 1/2 - n*c**2 + 1/3*c.
-(c - 3)*(c + 1)/6
Let h be (54*3)/(-3)*1. Let v be 12/h - (-84)/135. Solve v*r + 0 + 1/5*r**2 = 0 for r.
-2, 0
Factor 58*o + 82*o - 38*o - 3*o**2 + 2*o**2 - 2*o**2.
-3*o*(o - 34)
Let o = -24 + 26. Let l(j) = -2*j + 2. Let c(i) = -i**2 + 3*i - 3. Let d(p) = o*c(p) + 3*l(p). Determine y so that d(y) = 0.
0
Suppose 5*f - 3*b = 8, -3 = -5*b + 17. Let n(k) be the second derivative of -3/20*k**6 - 33/80*k**5 + 1/8*k**3 + 0 + 11*k + 0*k**2 - 1/4*k**f. Factor n(z).
-3*z*(z + 1)**2*(6*z - 1)/4
Factor 0 - 5/4*z**2 - 35/4*z.
-5*z*(z + 7)/4
Let j be (2/(-13))/(120/(-520)). Suppose 0 + 1/6*s + j*s**2 - 7/6*s**3 - 5/3*s**4 = 0. What is s?
-1, -1/5, 0, 1/2
Let a = 12 - 15. Let k be a/2*4/(-3). Factor -11 + 11 + k*v**2 + 2*v.
2*v*(v + 1)
Solve 0*h - 6/5*h**3 - 1/5*h**4 + 0 - 9/5*h**2 = 0.
-3, 0
Let n(o) be the first derivative of -2*o**5/35 - 3*o**4/14 - 4*o**3/21 + 115. Factor n(k).
-2*k**2*(k + 1)*(k + 2)/7
Let s = 12108/17 + -712. Let f = 45/119 - s. Factor 1/7*l**3 - 2/7*l**2 + 0 + f*l.
l*(l - 1)**2/7
Suppose 5*w = -2*w + 14. Factor 109*r + 2*r**4 - 2*r**5 - 2*r**w - 109*r + 2*r**3.
-2*r**2*(r - 1)**2*(r + 1)
Factor -13/3*m**2 - 1/3*m**3 - 11/3 - 23/3*m.
-(m + 1)**2*(m + 11)/3
Determine p, given that 7*p**2 + 3*p**3 + 10015 - p**4 - 4*p**3 + p - 10021 = 0.
-3, -1, 1, 2
Let j(z) = z**3 + 10*z**2 - 7*z + 6. Let x be j(-6). Let t = x - 377/2. Factor 9/2*v + t*v**4 - 5/2*v**2 - 1 - 9/2*v**3.
(v - 1)**2*(v + 1)*(7*v - 2)/2
Factor -2/3*w**2 - 156*w - 9126.
-2*(w + 117)**2/3
Let s(q) be the first derivative of 3*q**5/40 - 5*q**4/8 + 3*q**3/2 - q**2 - 197. Factor s(l).
l*(l - 4)*(l - 2)*(3*l - 2)/8
Let n(y) = -6*y**3 - 3*y**2 - 4*y - 2. Let u be n(-1). Determine l, given that 85*l**2 + l**u + 12*l**4 + 22*l**3 + 11*l**