*o. Factor s(g).
-(g - 1)*(g + 1)/5
Let z(l) be the third derivative of -l**5/120 - 37*l**4/8 - 4107*l**3/4 - 742*l**2. Factor z(o).
-(o + 111)**2/2
Let g(r) = 2*r**2 - 140*r + 2453. Let o be g(34). Let s(h) be the first derivative of -5/2*h**2 + h**3 + 3 + 1/4*h**4 - 1/5*h**o + 2*h. Factor s(n).
-(n - 1)**3*(n + 2)
Let g be (-1 + 329)*(119/14 + -6). Let o = 825 - g. Factor 20*c**3 + o*c**2 + 10 - 15*c**4 - 45/2*c + 5/2*c**5.
5*(c - 4)*(c - 1)**3*(c + 1)/2
Suppose 3*m + 0*m + 6 = 0, m = 2*b - 20. Suppose 2*d + f - 3 = 0, -b*d - 5*f - 6 = -6*d. Factor 1/3*v**d + 2/3*v**2 - 4/3*v - 8/3.
(v - 2)*(v + 2)**2/3
Let w(n) = 104*n + 65*n**3 - 46*n + 102*n - 128*n**2 - 67*n**2. Let c(f) = -9*f**3 + 28*f**2 - 23*f. Let s(l) = -15*c(l) - 2*w(l). Find i, given that s(i) = 0.
0, 1, 5
Let u(j) = -24*j + 1. Let p be u(0). Let r be -5 - (-5 - p - 3). Determine y, given that 0*y + 0*y**3 + 1/4*y**2 - 1/4*y**r + 0 = 0.
-1, 0, 1
Let j(y) = 7*y**2 - 882*y + 54. Let o(m) = 13*m**2 - 1763*m + 99. Let x(a) = -11*j(a) + 6*o(a). Solve x(h) = 0 for h.
0, 876
Let s(m) be the first derivative of 1078*m - 14*m**2 + 2/33*m**3 + 166. Factor s(f).
2*(f - 77)**2/11
Let k(x) = -2*x**4 - 66*x**3 + 118*x**2 + 374*x - 964. Let a(d) = -d**4 - 8*d**3 + d**2 - d + 2. Let u(l) = 4*a(l) - k(l). Factor u(h).
-2*(h - 9)**2*(h - 2)*(h + 3)
Suppose -1741 = 6*s - 4993. Let h(x) = -s + 542 - x**2. Let n(j) = -2*j**3 + 10*j**2 - 6*j. Let f(a) = 2*h(a) + n(a). Factor f(p).
-2*p*(p - 3)*(p - 1)
Let q(l) be the third derivative of l**5/270 - 7*l**4/18 + 185*l**3/27 + 57*l**2 - 2. Factor q(x).
2*(x - 37)*(x - 5)/9
Suppose g - 5*n = 14, 8*n = 9*n + 1. Suppose x**2 - g + 16*x - 4 - 5 + x**2 = 0. Calculate x.
-9, 1
Let k(g) be the second derivative of g**4/60 + 47*g**3/15 - 96*g**2/5 + 1139*g + 2. Let k(c) = 0. What is c?
-96, 2
Let b = 774 - 772. Let l(s) be the first derivative of 1/9*s**3 + 17 + s - 2/3*s**b. Solve l(v) = 0 for v.
1, 3
Let a(w) be the third derivative of w**5/240 - 193*w**4/24 + 37249*w**3/6 + 1181*w**2. Factor a(j).
(j - 386)**2/4
Let p(w) be the first derivative of -w**4 + 8*w**3/3 + 110*w**2 - 800*w - 552. Suppose p(i) = 0. Calculate i.
-8, 5
Suppose 6*g - 3*g - 12 = 0. Suppose 138 = 2*a + g*m, 4*a - m = -2*m + 241. What is v in -a - 30*v**3 - 43*v + 11 - 77*v - 3*v**4 - 99*v**2 = 0?
-4, -1
Let c(n) be the second derivative of -n**7/14 + 6*n**6/5 + 63*n**5/10 + 11*n**4 + 15*n**3/2 - 1400*n. Factor c(f).
-3*f*(f - 15)*(f + 1)**3
Let h be (48 - 4)*((-30)/8)/(-3). Let w = h + -52. Factor 2*x**4 - x**4 - 2*x**w + 3*x - x**2 - x + 0*x**3.
x*(x - 2)*(x - 1)*(x + 1)
Factor -91 + 43 + 16*b**4 + 12*b**3 - 48*b - 13*b**4.
3*(b - 2)*(b + 2)**3
Suppose -5*a - 7*a + 136 = -4*a. Let k(u) be the first derivative of -3/4*u**4 - a + 3/2*u**2 + 2/3*u**3 - 2*u. Factor k(i).
-(i - 1)*(i + 1)*(3*i - 2)
Let g(f) = 25*f**4 - 123*f**3 - 691*f**2 - 1491*f - 894. Let a(l) = -4*l**4 + 5*l**3 + l**2 - 1. Let m(r) = 6*a(r) + g(r). Solve m(y) = 0.
-3, -1, 100
Factor 274*q**5 - 30*q**3 + 346*q**5 - 72*q**2 + 9*q**4 - 617*q**5.
3*q**2*(q - 3)*(q + 2)*(q + 4)
Let h(i) be the second derivative of -3*i**5/80 + 4*i**4 + i**3/8 - 24*i**2 + 6*i + 386. Find s, given that h(s) = 0.
-1, 1, 64
Let a(r) be the second derivative of -r**7/672 - r**6/120 - 3*r**5/160 - r**4/48 + 71*r**3/2 - 115*r. Let n(s) be the second derivative of a(s). Factor n(x).
-(x + 1)**2*(5*x + 2)/4
Let g(w) be the first derivative of w**4/16 + 67*w**3/16 - 51*w**2/8 - 207*w - 23. Let a(s) be the first derivative of g(s). Factor a(r).
3*(r + 34)*(2*r - 1)/8
Let r(g) be the first derivative of -2*g**7/315 - 11*g**6/90 - 2*g**5/9 + 21*g**2 + 2*g + 107. Let x(c) be the second derivative of r(c). Factor x(w).
-4*w**2*(w + 1)*(w + 10)/3
Factor -870*w**3 - 8064*w + 4324*w**2 + 5184 + 39*w**4 - 1/2*w**5.
-(w - 36)**2*(w - 2)**3/2
Let r(k) be the third derivative of -k**6/60 + k**5/3 - 8*k**4/3 + 32*k**3/3 + 3*k**2 - 258. Factor r(w).
-2*(w - 4)**2*(w - 2)
Let z be -2 + (-7)/((-14)/8). Let n be (-3)/((-1)/((-4)/(-2))). Factor 2*g - 13*g**2 - 6*g**z - n*g**2 + 26*g**2.
g*(g + 2)
Let s(w) be the second derivative of -1/135*w**6 + 1/54*w**4 + 8*w - 1/45*w**5 + 1 + 2/27*w**3 + 0*w**2. Factor s(c).
-2*c*(c - 1)*(c + 1)*(c + 2)/9
Suppose 185/2*y - 195/4*y**2 + 5/4*y**3 + 0 = 0. Calculate y.
0, 2, 37
Let y(h) be the first derivative of 8 - 1/6*h**4 - 1/40*h**5 + 13*h - 5/12*h**3 - 1/2*h**2. Let i(f) be the first derivative of y(f). Let i(b) = 0. What is b?
-2, -1
Let w(g) be the second derivative of -125*g**6/2 - 3600*g**5 - 86400*g**4 - 1105920*g**3 - 7962624*g**2 + g + 485. Factor w(u).
-3*(5*u + 48)**4
Factor -18*s**3 - 10*s**2 - 52*s**2 - 85*s**3 - 54*s**2 - 17*s**3 - 4*s**4.
-4*s**2*(s + 1)*(s + 29)
Factor 374978/7 + 1732/7*m + 2/7*m**2.
2*(m + 433)**2/7
Let 342*f**4 - 4 - 69*f + 147*f**2 + 10 + 69*f**3 + 0 - 495*f**4 = 0. Calculate f.
-1, 2/17, 1/3, 1
Suppose -3*x + 2*x + 8 = 4*c, -c - 13 = 4*x. What is w in -4*w**c + 2*w**2 + 10*w**2 - 2*w - 6*w = 0?
0, 1, 2
Let l(s) be the third derivative of s**8/13440 - s**5/30 + s**4/24 - 19*s**2 + 3. Let d(o) be the third derivative of l(o). Factor d(n).
3*n**2/2
Let h(s) be the third derivative of s**7/840 + s**6/360 - 29*s**3/3 - s**2 + 19. Let v(b) be the first derivative of h(b). Factor v(q).
q**2*(q + 1)
Let v(j) be the third derivative of -j**7/70 + 4*j**6/5 + 149*j**5/20 - 45*j**4/2 - 880*j**2 - j + 4. Let v(b) = 0. Calculate b.
-5, 0, 1, 36
Factor 13*d**4 + 2*d**3 + 5 + 4*d**4 + 15 - 16*d**4 + 4*d + 0 - 15*d**2.
(d - 2)**2*(d + 1)*(d + 5)
Let g(x) be the first derivative of -2*x**3/9 - 315*x**2 + 10714. Factor g(o).
-2*o*(o + 945)/3
Factor -2/3*a**3 + 46/3*a**2 + 0 - 152/3*a.
-2*a*(a - 19)*(a - 4)/3
Solve -4/3*z**4 + 0 - 16/3*z**3 + 1/3*z**5 + 0*z + 64/3*z**2 = 0.
-4, 0, 4
Let t(j) be the second derivative of j**7/84 - j**6/15 + j**5/8 - j**4/12 + 651*j - 3. What is k in t(k) = 0?
0, 1, 2
Let p(y) = 2*y**2 + 28*y - 87. Let v(d) = -5. Let q(t) = p(t) + 3*v(t). Suppose q(x) = 0. What is x?
-17, 3
Let y(d) = -7*d**2 + d + 1. Let u(j) = 8*j**2 + 24*j - 1. Let f(p) = 4*u(p) + 4*y(p). Factor f(w).
4*w*(w + 25)
Let k = 1/237 - -69439/474. Let a = 148 - k. Factor 0 - 3/2*u**2 + a*u.
-3*u*(u - 1)/2
Suppose 0 = 101*n - 99*n - 30. Factor -3 + 9 + 2 + n*y**2 + 28*y + 5*y**2.
4*(y + 1)*(5*y + 2)
Solve -9*p - 74*p**2 + 4*p**2 - 51*p + 43 + 73*p**4 - 28*p**4 + 75*p**3 - 3 = 0 for p.
-2, -1, 2/3
Let v(a) be the second derivative of -5*a**4/12 - 7435*a**3/3 - 11055845*a**2/2 + 505*a. Determine w so that v(w) = 0.
-1487
Suppose 8*j - 5*j + 42 = 0. Let y be -9 + (-134)/j + 16/70. Factor -8/5*w + 4/5 + y*w**2.
4*(w - 1)**2/5
Let x(j) be the second derivative of -j**6/2700 - j**5/450 + 24*j**3 + 8*j - 3. Let p(n) be the second derivative of x(n). Factor p(t).
-2*t*(t + 2)/15
Let o = -134 - -139. Factor -263 - 8 + 80*k - o*k**2 - 49.
-5*(k - 8)**2
Let p be (-72)/(-15 + 3) + 5 + -6. Let d(z) be the first derivative of p - 3/5*z - 1/15*z**3 + 2/5*z**2. Factor d(c).
-(c - 3)*(c - 1)/5
Find m, given that 4*m - 1/4*m**2 + 225/4 = 0.
-9, 25
Let u be 2/(-18) - (1824/108 + -10 - 11). Let v(z) be the second derivative of 0 + 4/3*z**4 - 19*z - 1/5*z**5 + u*z**2 - 10/3*z**3. Let v(p) = 0. What is p?
1, 2
Determine g so that 1/6*g**2 - 179/6*g - 181/3 = 0.
-2, 181
Let m(q) be the first derivative of -9/16*q**4 - 3/20*q**5 - 71 + 7/4*q**3 - 27/2*q + 45/8*q**2. Solve m(p) = 0.
-3, 1, 2
Let n = -467/69 - -309/23. Let r(o) be the first derivative of n*o**3 - 25/2*o**2 + 10*o - 8 - 5/4*o**4. Factor r(i).
-5*(i - 2)*(i - 1)**2
Factor -x**3 - 5/4*x**2 - 1/2*x - 1/4*x**4 + 0.
-x*(x + 1)**2*(x + 2)/4
Solve 340*u**2 - 31/2*u**3 - 3707/2*u - 121 = 0 for u.
-2/31, 11
Let g(m) = -200*m**3 - 4*m + 2*m - m**2 + 201*m**3. Let h(l) = -2*l**3 - 12*l**2 - 33*l + 49. Let y(v) = g(v) + h(v). Find x, given that y(x) = 0.
-7, 1
Let c(n) be the second derivative of -n**4/36 + 13*n**3/18 - 6*n**2 + 2*n + 45. Factor c(w).
-(w - 9)*(w - 4)/3
Find i such that -360 - 745*i**2 + 4*i**3 + 324*i + 1441*i**2 - 776*i**2 = 0.
2, 3, 15
Let f(w) = -5*w**2 - 1727*w + 5286. Let p(d) = -60*d**2 - 20730*d + 63430. Let x(l) = -35*f(l) + 3*p(l). What is s in x(s) = 0?
-352, 3
Let m be -2*6/(-8) - (-17885)/(-11914). Let y = 2560/5957 + m. Factor 1/7*t**5 + 0 - y*t**4 + 3/7*t**3 