*o**6/15 + 13*o**5/5 + 37*o**4/3 - 20*o**3/3 + 95*o + 31. Let z(i) = 0. Calculate i.
-2, 0, 1/4, 5
Let z(n) be the third derivative of n**8/1008 + 19*n**7/630 - 89*n**6/360 + 73*n**5/180 + 11*n**4/9 - 46*n**3/9 - 172*n**2 + 2*n. What is q in z(q) = 0?
-23, -1, 1, 2
Let m(v) be the second derivative of 3*v**5/20 - v**4/6 - 5*v**3/6 + 2*v**2 + 34*v - 12. Factor m(u).
(u - 1)**2*(3*u + 4)
Let t(z) be the first derivative of -z**6/120 + 5*z**5/2 - 625*z**4/2 - z**3/3 + 60*z + 46. Let h(c) be the third derivative of t(c). Factor h(j).
-3*(j - 50)**2
Let m be (-2781)/618*(-6)/9. What is l in -27/5 + 27/5*l - 9/5*l**2 + 1/5*l**m = 0?
3
Let x(c) be the first derivative of -c**3/18 + 71*c**2/12 + 12*c + 425. Factor x(a).
-(a - 72)*(a + 1)/6
Let y(a) be the second derivative of -15/2*a**3 + 5*a**2 + 0 - 1/2*a**6 - 32*a + 1/4*a**5 + 15/4*a**4. Suppose y(h) = 0. Calculate h.
-2, 1/3, 1
Factor 560*j + 242*j**2 + 246*j**2 + 410*j + 2*j**3 + 96 + 388.
2*(j + 1)**2*(j + 242)
Let y(b) be the third derivative of 11/24*b**4 - 3*b**2 + 0 + 7*b + 1/120*b**6 + 7/60*b**5 + 5/6*b**3. Let y(r) = 0. Calculate r.
-5, -1
Let a(c) = -38*c**2 + 3*c - 20. Suppose -2*d + 20 = 2*p - 0*d, 0 = -d + 4. Let h(q) = -39*q**2 + 4*q - 24. Let w(x) = p*a(x) - 5*h(x). Factor w(i).
-i*(33*i + 2)
Factor -1/5*c**3 + 26/5*c**2 - 116/5 + 91/5*c.
-(c - 29)*(c - 1)*(c + 4)/5
Factor -32/11*o**3 + 384/11*o**2 - 2/11*o**4 + 4096/11*o - 32768/11.
-2*(o - 8)**2*(o + 16)**2/11
Suppose 10*o - 2184 = 6*o. Let i = o + -358. Factor -4*g + 16*g**2 - i*g**3 - 10*g**4 - 4*g + 202*g**3.
-2*g*(g - 2)*(g + 1)*(5*g - 2)
Let i(l) be the second derivative of -1/54*l**4 + 0*l**3 + 0 - 1/90*l**5 + 0*l**2 - 66*l. Factor i(q).
-2*q**2*(q + 1)/9
Let y(m) be the first derivative of 192*m**3/5 - 336*m**2 + 980*m - 1791. Factor y(i).
4*(12*i - 35)**2/5
Let c(d) be the second derivative of 0 + 5/12*d**4 + 104*d + 25/2*d**3 + 65*d**2. Factor c(k).
5*(k + 2)*(k + 13)
Let i(w) = 192*w + 176. Let c(t) = t**2 + 7*t - 2. Let k(y) = -4*c(y) + 2*i(y). Let k(u) = 0. What is u?
-1, 90
Let y = -45 - -76. Suppose 0 = 7*o + 3 - y. What is a in 7*a**2 + 11*a + 4*a**3 + 2*a**4 - 3*a**o - 21*a = 0?
-2, 0, 1, 5
Let g(q) be the second derivative of -q**4/36 + 89*q**3/9 + 184*q**2 - 7259*q. Determine i, given that g(i) = 0.
-6, 184
Let h(r) = 81*r**2 - r + 34. Let z be h(7). Suppose 3999*j - z*j = 0. Factor j + 1/2*p**2 + 7/2*p.
p*(p + 7)/2
Let y(p) = -2*p**4 + 108*p**3 - 251*p**2 + 249*p - 90. Let a(f) = -f**4 + 35*f**3 - 83*f**2 + 83*f - 30. Let j(k) = -7*a(k) + 2*y(k). Let j(s) = 0. Calculate s.
1, 5/3, 6
Let j(a) be the third derivative of -a**5/12 - 95*a**4/8 - 1814*a**2. Let j(u) = 0. What is u?
-57, 0
Let j be (-1848)/(-32)*11220/2380. Factor j + 1/4*w**2 - 33/2*w.
(w - 33)**2/4
Let b(h) = -14*h**2 - 385*h + 259. Let a be b(-28). Let -36*t - 135/8*t**4 - 6 - a*t**3 - 75*t**2 = 0. Calculate t.
-2, -2/3, -2/5
Suppose -b**3 + 193*b + 360 - 116*b**2 - 84*b + 6*b**3 + 116*b - 14*b**2 = 0. What is b?
-1, 3, 24
Let s be (25 + -13)/(-12) + -4 + 59/7. Suppose -18/7*g + 3/7*g**2 + s = 0. Calculate g.
2, 4
Let m(c) be the third derivative of c**8/336 + c**7/210 - c**6/60 - c**5/30 + c**4/24 + c**3/6 + 2511*c**2. Factor m(h).
(h - 1)**2*(h + 1)**3
Let u(d) = d**3 - 12*d**2 + 8*d + 123. Let p be u(10). Let m(r) be the first derivative of 12 + 2/33*r**p - 4/11*r - 1/11*r**2. Let m(h) = 0. Calculate h.
-1, 2
Let y(z) be the first derivative of z**3/15 - 36*z**2/5 - 73*z/5 + 740. Factor y(r).
(r - 73)*(r + 1)/5
Suppose -95*t - 305 = 12*t - 2445. Let l(w) be the first derivative of 0*w + 6/7*w**2 - t - 2/21*w**3. Factor l(n).
-2*n*(n - 6)/7
Let x be -11 + (-837)/(-72) + 82*30/672. Factor -2/7*q**2 - 4*q + x.
-2*(q - 1)*(q + 15)/7
Let y(a) be the third derivative of a**5/480 + 169*a**4/192 + 83*a**3/8 + 774*a**2. Factor y(m).
(m + 3)*(m + 166)/8
Let v(x) = 56*x + 2. Let c be v(1). Let q = c - 53. Find s such that 6*s**q - 38*s**3 - 2*s**5 + 5*s**2 + 43*s**2 - 8*s**4 - 6*s**3 + 144*s = 0.
-2, 0, 3
Let b(k) = k + 3. Let n be b(-3). Suppose -1 = 57*c - 6 + 5. Suppose 0 + c*v**2 + n*v - 6*v**4 - 4/3*v**3 - 14/3*v**5 = 0. Calculate v.
-1, -2/7, 0
Let o(z) be the second derivative of 5/4*z**5 - 29*z - 25/6*z**6 - 5 + 27*z**2 + 81/2*z**3 + 105/4*z**4. What is j in o(j) = 0?
-3/5, 2
Let p(r) be the second derivative of 6*r**2 - 36*r + 0 - 1/12*r**4 + 1/6*r**3. Factor p(s).
-(s - 4)*(s + 3)
Let a be (2/(-42))/((6 - 7)/((-189)/(-54))). Factor -722/3 + 38/3*y - a*y**2.
-(y - 38)**2/6
Let l(d) be the third derivative of 0*d - 1/14*d**4 + 47*d**2 + 5/21*d**3 + 1/210*d**5 + 0. What is u in l(u) = 0?
1, 5
Suppose 25*x + 24 = 26*x. Let -7*l - 8*l - l - 4*l - 4*l**3 - x*l**2 = 0. What is l?
-5, -1, 0
Let l = 121588/3 + -40528. Let h(v) be the first derivative of 3/2*v**4 - 2/5*v**5 + 0*v + 0*v**2 + 41 - l*v**3. Let h(c) = 0. Calculate c.
0, 1, 2
Let j be ((-6)/24 - (-13)/4) + 0. Suppose 3*d = j*f + 21, 2*d - d = 3*f + 15. Factor x**3 + d*x**2 + 8*x - 8*x**2 + 108 - 112.
(x - 2)**2*(x - 1)
Let g be ((-1872)/(-819))/(4/7). Suppose 2/7*q**3 + 0 + 6/7*q**g + 0*q + 0*q**2 = 0. Calculate q.
-1/3, 0
Let p(f) = f**3 - 5*f**2 + 2. Let r(n) = 7*n**3 - 11*n**2 - 3*n + 8. Let i(j) = j**3 - j + 1. Let g(t) = 3*i(t) - r(t). Let y(w) = 2*g(w) + 5*p(w). Factor y(v).
-3*v**2*(v + 1)
Let p = -104964 - -104964. Factor 0*i - 1/3*i**3 + p*i**2 + 0 - 1/3*i**4.
-i**3*(i + 1)/3
Let v(j) be the second derivative of 3*j**4/10 - 344*j**3/15 + 76*j**2/5 - 1141*j. Factor v(z).
2*(z - 38)*(9*z - 2)/5
Let d(i) be the third derivative of 151 - 1/32*i**6 + 0*i**4 - 1/40*i**5 + 0*i**3 + 0*i - 1/70*i**7 - i**2 - 1/448*i**8. Factor d(n).
-3*n**2*(n + 1)**2*(n + 2)/4
Find c such that -438/5*c + 252/5 + 226/5*c**2 + 2/5*c**4 - 42/5*c**3 = 0.
1, 3, 14
Let o be (6/(-20))/(272/(-2720)). Let a(q) be the third derivative of 1/300*q**6 - o*q**2 + 0*q - 1/12*q**4 + 4 - 1/5*q**3 - 1/150*q**5. Factor a(b).
2*(b - 3)*(b + 1)**2/5
Let i(d) be the third derivative of -d**8/1176 - 16*d**7/735 - 3*d**6/140 + 3*d**5/7 - 2666*d**2 + 4*d. Let i(s) = 0. Calculate s.
-15, -3, 0, 2
Let m(o) be the second derivative of -71*o + 0*o**4 + 3/20*o**5 + 0*o**2 - 1/2*o**3 + 1. Factor m(s).
3*s*(s - 1)*(s + 1)
Let z(k) be the first derivative of -8*k**6/27 + 164*k**5/45 - 6*k**4 - 692*k**3/27 + 476*k**2/9 - 64*k/3 - 10. Solve z(h) = 0.
-2, 1/4, 1, 3, 8
Suppose 22*c = -22*c + 88. Factor -21*k**4 + 70 + 12*k**3 - 13*k**3 + 18*k**c + 177*k**2 + 56*k**3 + 205*k + 16*k**4.
-5*(k - 14)*(k + 1)**3
Let c = 601339/80178 + -2/40089. Let a(f) be the first derivative of -f**5 + 10*f - 5/3*f**3 + c*f**2 - 15/4*f**4 - 21. Factor a(v).
-5*(v - 1)*(v + 1)**2*(v + 2)
Solve 0 - 7*r**3 + 43/3*r**2 - 2/3*r = 0.
0, 1/21, 2
Factor 1/2*c**3 - 9090072503/2 - 6261/2*c**2 + 13066707/2*c.
(c - 2087)**3/2
Let x(g) = -g + 17. Let u = -55 - -68. Let m be x(u). Determine b so that b**2 + 0*b**2 - m + b + 12 - 14 = 0.
-3, 2
Let o = -1889 + 1307. Let n = 584 + o. Factor -2/7*l - 2/7*l**n + 2/7*l**3 + 2/7.
2*(l - 1)**2*(l + 1)/7
Let k be 200/(-2900) - 965/(-116) - (1 - -7). Factor -7/4*w**2 + 4*w - 3 + k*w**3.
(w - 3)*(w - 2)**2/4
Find o such that -5/6*o**2 + 70/3*o + 320/3 = 0.
-4, 32
Suppose 0 = -z - 3*z + 5*k + 495, -3*z + 4*k = -370. Let h = -127 + z. Factor 5*u**2 - u**h + 3 - 12*u + u**2 + 5.
-(u - 2)**3
Suppose -80*a + 70*a + 20 = 0. Suppose -100 - 30*k + 92*k - 6*k**3 + k**3 + 78*k - 35*k**a = 0. Calculate k.
-10, 1, 2
Let p = 2127/131 + -3561/655. Factor p*u + 2/5*u**2 + 52/5.
2*(u + 1)*(u + 26)/5
Let a(j) be the third derivative of 0*j - 1/128*j**8 - 19/320*j**6 - 14 + 83/80*j**5 - 3*j**2 - 11/140*j**7 - j**4 - 2*j**3. Let a(x) = 0. Calculate x.
-4, -2/7, 1
Let s(t) be the second derivative of t**6/105 + 48*t**5/35 + 576*t**4/7 + 18432*t**3/7 + 331776*t**2/7 - 2086*t. Suppose s(g) = 0. Calculate g.
-24
Let k be (1 - -3)*7/(-4). Let v = 118 + k. Factor -51*r - 52*r - 28*r**2 + v*r.
-4*r*(7*r - 2)
Let g be -1 + (2 - -1) - -32. Let f = -19 + g. Factor 22*z - 85*z**2 + 8*z - f*z**3 + 8*z**3 + 32*z**3.
5*z*(z - 3)*(5*z - 2)
Let j(s) be the third derivative of -s**6/540 - 23*s**5/135 - 5*s**4/12 + 2998*s**2. Factor j(r).
-2*r*(r + 1)*(r + 45)/9
Let m(c) = 2*c**3 - c**2 + 4*c - 3. Let i be m(1). Let b be (88/16 - 6) + 1. Factor -1/4 - 1/4*h**i - b*h.
-(h + 