 + o**4/132 + o**3/3 + 38*o + 72. Let y(p) be the third derivative of a(p). Factor y(z).
2*(z - 1)**2*(z + 1)/11
Let a(k) be the first derivative of k**5/6 - 25*k**4/4 + 185*k**3/2 - 675*k**2 + 2430*k - 78. Factor a(h).
5*(h - 9)**2*(h - 6)**2/6
Let y(d) = 5*d**2 + 6*d + 10. Let u(g) = g**2 - 7*g + 9. Let p be u(4). Let l(c) = -c**2 + c - 2. Let v(o) = p*l(o) - y(o). Factor v(w).
-(w + 4)*(2*w + 1)
Let y be (13/(-6))/(-13) + ((-850)/24)/(-17). Let l(r) = r**2 - 10*r + 11. Let z be l(9). Determine v so that 3/2*v - 1/4*v**z - y = 0.
3
Let b = 514183 + -514183. Factor b + 110/7*k + 2/7*k**3 - 16*k**2.
2*k*(k - 55)*(k - 1)/7
Let u(i) be the second derivative of -i**4/54 + 55*i**3/27 + 100*i**2/3 - 47*i + 6. Factor u(f).
-2*(f - 60)*(f + 5)/9
Let c(g) be the first derivative of 4*g**3/21 - 864*g**2/7 + 186624*g/7 + 801. Factor c(a).
4*(a - 216)**2/7
Suppose 1424*h - 63*h**3 - 744*h**2 + 50*h**4 - 394 - 178 + 203*h**3 - 54*h**4 - 356 = 0. Calculate h.
2, 29
Let m(y) = 687 - 337 - 282 + 63*y - 7*y**2. Let j(n) = -15*n**2 + 125*n + 135. Let p(w) = -2*j(w) + 5*m(w). Determine l, given that p(l) = 0.
-1, 14
Let w = -18 + 21. Suppose -w*t + s + 10 = 0, 0*t = -t + 3*s + 6. What is l in 0*l**4 - t*l**3 + 0*l**3 + 0*l**3 + 3*l**4 = 0?
0, 1
Let k(r) be the first derivative of -28 + 5/2*r**2 - 1/120*r**6 + 0*r + 1/60*r**5 + 0*r**3 + 0*r**4. Let s(i) be the second derivative of k(i). Factor s(o).
-o**2*(o - 1)
Let s(h) be the third derivative of h**8/5040 + 23*h**7/1260 - h**5/5 + h**3/3 + 40*h**2. Let i(x) be the third derivative of s(x). Let i(g) = 0. Calculate g.
-23, 0
Let y(v) = 15*v**2 - 342*v - 10437. Suppose -5*m - 53 = -23. Let p(k) = -12*k**2 + 344*k + 10438. Let i(a) = m*p(a) - 5*y(a). Factor i(w).
-3*(w + 59)**2
Let w(j) = -5*j**3 + 465*j**2 + 1520*j + 20. Let b(n) = 2*n**3 - 155*n**2 - 507*n - 6. Let s(f) = -10*b(f) - 3*w(f). Factor s(v).
-5*v*(v - 34)*(v + 3)
Let z(d) = -d**3 + 7*d**2 - 12*d + 3. Let g be z(3). Factor 48*t**3 - g*t**4 - 65*t**2 - 61*t**2 + 120*t + 7 - 46.
-3*(t - 13)*(t - 1)**3
Let q(i) be the second derivative of 21*i + 1225/11*i**3 + 1/110*i**5 + 35/22*i**4 + 42875/11*i**2 - 1. Determine t so that q(t) = 0.
-35
Let o = 11958 - 11952. Let j(n) be the second derivative of 1/240*n**o + 0 - 1/8*n**3 + 0*n**2 + 1/80*n**5 - 17*n - 5/96*n**4. Factor j(q).
q*(q - 2)*(q + 1)*(q + 3)/8
Let o(c) be the second derivative of -c**7/6300 + c**6/450 + c**5/60 + 23*c**4/4 - 62*c. Let m(g) be the third derivative of o(g). Let m(y) = 0. Calculate y.
-1, 5
Let r(s) be the first derivative of 0*s + 13/6*s**4 - 32/9*s**3 - 81 + 4/3*s**2 - 2/5*s**5. Factor r(i).
-2*i*(i - 2)**2*(3*i - 1)/3
Suppose -3*b - 1 = 2*i - 6, -5*i - 50 = -5*b. Suppose -4*m - z + 4 = -b*z, -m = -2*z + 4. Factor -m*p**2 + 156*p**3 - 154*p**3 + 2*p**4 + 0*p**4 - 10*p - 4.
2*(p - 2)*(p + 1)**3
Let u(i) be the third derivative of 1/15*i**5 + 0 - 49*i - 25/6*i**4 + i**2 + 0*i**3. Factor u(h).
4*h*(h - 25)
Let x(t) be the second derivative of t**7/105 - 4*t**6/75 - 18*t**5/25 - 37*t**4/15 - 61*t**3/15 - 18*t**2/5 - 1061*t. Let x(f) = 0. What is f?
-2, -1, 9
Let o = 8/2735 - -10884/19145. Let s = -5506/7 + 790. Determine l, given that o*l**2 + s - 20/7*l = 0.
2, 3
Let m(l) = -10*l**2 + 126*l - 260. Let j(c) = -21*c**2 + 251*c - 522. Let b(z) = -6*j(z) + 13*m(z). Factor b(w).
-4*(w - 31)*(w - 2)
Let j(p) be the second derivative of 3*p**5/40 - 71*p**4/96 - p**3/8 + 8*p - 16. Factor j(h).
h*(h - 6)*(12*h + 1)/8
Let j(v) be the first derivative of v**6/12 + 11*v**5/5 - 13*v**4/4 - 352*v**3 - 1935*v**2/4 + 2025*v - 5046. Find s such that j(s) = 0.
-15, -2, 1, 9
Let v(z) be the third derivative of -z**8/2016 - 13*z**7/1260 + z**6/120 + 43*z**5/180 + 107*z**4/144 + 13*z**3/12 + 3070*z**2. Factor v(c).
-(c - 3)*(c + 1)**3*(c + 13)/6
Let x be 5 - ((-12)/(-8) - 5/2). Let b(f) = f**3 + 5*f**2. Let h be b(-4). Find m, given that 4*m**3 - m - h*m**2 + x*m + 11*m = 0.
0, 2
Let b(c) be the second derivative of -121*c**5/130 - 649*c**4/78 + 920*c**3/39 + 6348*c**2/13 + 15*c - 115. Determine i so that b(i) = 0.
-46/11, 3
Let v(i) = -i + 29. Let s be v(26). Factor 24 + 7*f + 24*f**2 + 10*f**3 - f**s - 5*f**3 + 37*f.
4*(f + 1)*(f + 2)*(f + 3)
Factor 3*z**4 + 43*z**3 + 311594 - 108*z**2 - 102*z + 59*z**3 - 311489.
3*(z - 1)**2*(z + 1)*(z + 35)
Let w = 1938 + -1930. Let g(a) be the second derivative of -4*a + 0 + 10/3*a**3 - w*a**2 - 1/3*a**4. Find o such that g(o) = 0.
1, 4
Suppose -4*h - 24 = -2*f, 5*h = 4*f + 4*h - 27. Solve 183*t**4 - 2*t**5 - 185*t**4 + 2*t**2 + f*t**3 - 4*t**3 = 0 for t.
-1, 0, 1
Let x(f) = -5*f**4 + 10*f**3 + 392*f**2 + 1782*f - 2179. Let q(s) = -s**4 - s**2 + 2. Let i(p) = 4*q(p) - x(p). Factor i(u).
(u - 27)*(u - 1)*(u + 9)**2
Let p(z) = -z**3 + 6*z**2 - 2*z - 1. Let i be p(5). Let h be i/4*(-10)/(-175). Factor -2/5*q**4 + 2/5*q**2 + 1/5*q**5 + 0*q**3 + 0 - h*q.
q*(q - 1)**3*(q + 1)/5
Let a(y) = 20*y**2 - 115*y + 70. Let n(g) = -g**2 + g + 1. Suppose 21*m = 30*m - 225. Let q(k) = m*n(k) + a(k). Factor q(w).
-5*(w - 1)*(w + 19)
Let r(c) be the third derivative of c**8/168 + 8*c**7/105 - c**6/5 - 13*c**5/15 + 11*c**4/12 + 6*c**3 - 7*c**2 - 46*c - 2. Determine w, given that r(w) = 0.
-9, -1, 1, 2
Suppose -r = -2*j, -5*r = -8*j + 9*j - 11. Suppose r*v + 1 = g + 3, 4*g = -4*v + 16. Determine a so that 3 - 15/2*a**g - 9/2*a = 0.
-1, 2/5
Let t(q) be the third derivative of 0*q**4 + 0 + 0*q + 1/210*q**6 + 13/105*q**5 - 49*q**2 + 0*q**3. Determine m so that t(m) = 0.
-13, 0
Let c(m) be the first derivative of m**3/21 + m**2 + 33*m/7 - 1448. Solve c(k) = 0.
-11, -3
Let x be (-23 + 2850/125)*(25095/2)/(-7). Find b such that 75/2*b**5 + 465/2*b**4 + x*b**3 + 54 - 141/2*b**2 - 180*b = 0.
-3, -1, 2/5
Suppose 4*g - 5*v = -10, -g + 7 = -4*g + 4*v. Let i(o) = o**2 - o - 1. Let z(c) = -3*c - c + c + 4*c**2 - 3*c**2. Let j(n) = g*z(n) - 10*i(n). Factor j(p).
-5*(p - 2)*(3*p + 1)
Suppose 15/7*o**3 + 15/7*o**2 - 3/7*o**4 - 12/7*o - 3/7*o**5 - 12/7 = 0. Calculate o.
-2, -1, 1, 2
Let r be 27/(-18)*(21 + -23). Let w(d) be the second derivative of -1/140*d**5 + 0*d**2 - 1/42*d**r + 0 - 12*d - 1/42*d**4. Let w(g) = 0. What is g?
-1, 0
Let g(k) be the first derivative of 0*k + 1/2*k**2 - 3/16*k**4 - 1/20*k**5 - 53 + 0*k**3. Solve g(c) = 0.
-2, 0, 1
Let v = 105 - 104. Let f(t) = t**2 + 2*t - 1. Let y(u) = 306*u**2 + 412*u - 142. Let i(m) = v*y(m) + 2*f(m). Factor i(w).
4*(7*w - 2)*(11*w + 18)
Let v(a) be the third derivative of -a**8/504 - 2*a**7/315 + 13*a**6/180 + 13*a**5/45 - a**4 - 8*a**3 + 1835*a**2. Suppose v(o) = 0. Calculate o.
-3, -2, 2, 3
Suppose -144/7*y + 2/7*y**2 + 0 + 2/7*y**3 = 0. What is y?
-9, 0, 8
Let l be (-13)/((-689325)/(-4067)) - (-2)/25. Let u = l - -907/606. Suppose -1/2*k**2 - k + u = 0. What is k?
-3, 1
Suppose -2/13*g**2 - 112/13*g - 1230/13 = 0. What is g?
-41, -15
Suppose 32*s**2 - 62*s**3 + 129*s - 4*s**5 - 129*s + 86*s**3 - 12*s**4 = 0. What is s?
-4, -1, 0, 2
Let -2*h - 220/21 - 2/21*h**2 = 0. Calculate h.
-11, -10
Let t be ((-3)/2)/((-30)/12). Let r = -5992 - -5992. Find h such that -6/5*h**3 + 3/5*h + 0*h**4 + r*h**2 + t*h**5 + 0 = 0.
-1, 0, 1
Let v = -244 - -665. Factor f**2 - 211 - 214 + v.
(f - 2)*(f + 2)
Let k be (62/155 - 8/(-5))*(4 + -3). Factor 0 - 4/3*r**3 - 2/3*r**4 + 0*r + 2*r**k.
-2*r**2*(r - 1)*(r + 3)/3
Let 0 + 1/3*b**4 + 103*b - 103*b**3 - 1/3*b**2 = 0. Calculate b.
-1, 0, 1, 309
Factor 159/7*y**3 + 1/7*y**4 - 326/7 - 647/7*y**2 + 813/7*y.
(y - 2)*(y - 1)**2*(y + 163)/7
Let t(k) = 186*k**3 - 75*k**2 - 246*k + 9. Let a(p) = 5*p**3 + p**2 + p - 1. Let f(g) = -33*a(g) + t(g). Solve f(x) = 0.
-2, 1/7, 7
Let 266*o**2 + 199482*o**5 + 410*o**4 - 148*o**4 - 199484*o**5 + 530*o**3 = 0. Calculate o.
-1, 0, 133
Factor -2/13*h**2 - 124/13 + 66/13*h.
-2*(h - 31)*(h - 2)/13
Let x = -3625/9 - -403. Let g(p) be the first derivative of -1/9*p**4 - x*p - 3 + 2/27*p**3 + 2/9*p**2. Suppose g(j) = 0. What is j?
-1, 1/2, 1
Let p(v) = v**2 + 37*v + 80. Let m(y) = -3*y**2 - 83*y - 154. Let c(a) = 2*m(a) + 5*p(a). Determine f, given that c(f) = 0.
-4, 23
Factor -141*l**2 + 46*l**2 - 156 + 41*l**2 - 776*l + 74*l**2.
4*(l - 39)*(5*l + 1)
Let x be 3 + -9 - 16/(-2). Factor 22*z**2 + 3*z**3 - 7*z**2 - 8*z**2 - z**x.
3*z**2*(z + 2)
Factor 0*h + 0 - 1/3*h**4 + 25*h**2 - 22/3*h**3.
-h