e the third derivative of -m**7/168 - 47*m**6/144 - 5*m**5/4 + 9*m**4/8 - 45*m**2. Let t(x) be the second derivative of l(x). Factor t(d).
-5*(d + 15)*(3*d + 2)
Let m(i) = -24*i**2 - 841*i + 196. Let c(a) = 5*a**2 + 168*a - 40. Let y(v) = -33*c(v) - 6*m(v). Factor y(h).
-3*(h + 24)*(7*h - 2)
Let w(g) be the second derivative of 38*g - 17/72*g**4 + 0 - 1/3*g**2 - 1/30*g**5 - 5/9*g**3. Factor w(v).
-(v + 2)**2*(4*v + 1)/6
Determine w, given that 60*w**2 + 600*w - 3/2*w**5 - 1197/2*w**3 + 0 - 60*w**4 = 0.
-20, -1, 0, 1
Let q be 20232/9273 - 6/33. Let 4/3*a + 2/3*a**3 + 0 + q*a**2 = 0. Calculate a.
-2, -1, 0
Let i(c) be the third derivative of -c**6/420 - 17*c**5/35 - 293*c**4/84 + 132*c**3/7 - 1291*c**2. Suppose i(m) = 0. Calculate m.
-99, -4, 1
Let y(l) be the third derivative of -l**5/20 + 5*l**4/8 + 228*l**3 - 2*l**2 + 1142*l. Suppose y(z) = 0. What is z?
-19, 24
Let n(v) be the second derivative of 0*v**3 - 1/63*v**7 + 193*v + 0*v**4 + 0*v**5 + 0*v**2 - 2/45*v**6 + 0. Factor n(g).
-2*g**4*(g + 2)/3
Let q(d) be the first derivative of d**4/2 + 28*d**3 - 999*d**2 + 9720*d - 2354. Solve q(g) = 0 for g.
-60, 9
Suppose 0 = v + 3*s - 0*s + 12, -v = s + 2. Let g = 0 - -2. What is c in -v*c**2 - g*c**3 + 6*c - 7*c**3 + 6 - 3*c**2 + 3*c = 0?
-1, -2/3, 1
Let t(c) = -c**3 - 104*c**2 - 281*c - 18331. Let x be t(-103). What is d in -43/8*d**4 + 87/8*d**x - d + 5/8*d**5 - 53/8*d**2 + 3/2 = 0?
-2/5, 1, 6
Let d = 1321883/40 - 33047. Let p(z) be the second derivative of -3/2*z**2 + d*z**5 + 3 + 2*z + 1/60*z**6 - 11/12*z**3 - 1/8*z**4. Factor p(c).
(c - 2)*(c + 1)**2*(c + 3)/2
Suppose 0 = 2*t - 36. Let w be -9 + 10 + t/2. Factor -20*q**2 - 22*q**4 - 6*q - 9*q**5 - 24*q**3 + 7*q**5 + w*q**4.
-2*q*(q + 1)**3*(q + 3)
Factor -87*c**5 + 116*c**4 + 179*c**3 + 199*c**4 - 24*c**3 - 89*c**5 + 186*c**5.
5*c**3*(c + 31)*(2*c + 1)
Let r(z) be the second derivative of -17/2*z**3 + 1/4*z**4 + 26*z + 0*z**2 - 3. Factor r(h).
3*h*(h - 17)
Let q = -13/4092 - -49403/94116. Determine k so that 70/23*k + 18/23*k**3 + q + 76/23*k**2 = 0.
-3, -1, -2/9
Let b(p) be the second derivative of 5/2*p**2 + 55/36*p**3 - 5/6*p**4 - 18*p - 5/24*p**5 + 2. Let b(c) = 0. What is c?
-3, -2/5, 1
Suppose 40 = -5*v - 60. Let q be (-72)/v + (-3)/5. Factor 8/3*w**q - 8*w**4 + 0*w**2 + 10/3*w**5 + 0 + 0*w.
2*w**3*(w - 2)*(5*w - 2)/3
Let g(y) be the third derivative of -y**7/210 + 11*y**6/60 + 127*y**5/60 + 53*y**4/6 + 18*y**3 - 634*y**2 + 7. Factor g(w).
-(w - 27)*(w + 1)*(w + 2)**2
Let d be 860 + (-6)/24*-28. Factor -d*m + 1728*m - 4*m**2 - 913*m.
-4*m*(m + 13)
Suppose 1314 = -5*w + 10059. Suppose w*q + 28 = 1756*q. Determine z, given that -3/5*z**q + 0*z + 0 - 3/5*z**3 + 6/5*z**2 = 0.
-2, 0, 1
Suppose -3*n - 27 = 3*b - 5*b, -2*b + 22 = -4*n. Let o be -2*(-6 - (-50)/8)*-8. Solve -8*c**2 - 4*c**3 - 21 + b + 2*c**4 + 2*c**o = 0.
-1, 0, 2
Let t(f) be the first derivative of 2*f**6/3 - 4*f**5/5 - 2*f**4 + 8*f**3/3 + 2*f**2 - 4*f - 1695. Solve t(a) = 0.
-1, 1
Suppose 5*z + 4*h - 41 = 0, -3*z - 896*h + 897*h = -28. Suppose -35/6*o**4 + 4/3 - z*o**2 + 101/6*o**3 - 10/3*o = 0. Calculate o.
-2/5, 2/7, 1, 2
Factor -322*a + 6110*a + 9748 - 1439*a + 5395*a - 6*a**2 + 2*a**2.
-4*(a - 2437)*(a + 1)
Suppose 3*k + 7 = y, 6*y - 4*y - 7 = -k. Factor -2*h**2 - 3*h**4 + 7*h**y + 6*h**3 + 6*h**3 + 10*h**2.
4*h**2*(h + 1)*(h + 2)
Let u(z) be the third derivative of z**5/75 + 4*z**4/15 - 256*z**3/15 + 27*z**2 - 18*z. Factor u(l).
4*(l - 8)*(l + 16)/5
Suppose 4*l - 93 = -c - 4*c, 3*c + 36 = 3*l. Let z(u) = u**3 - 15*u**2 - 39*u + 85. Let f be z(l). Factor 1/3*r**2 + 0 + f*r + 1/3*r**3.
r**2*(r + 1)/3
Suppose -5*l - n + 71 = 0, -n + 148 = 3*l + 105. Suppose 0 = -l*i + 29*i - 30. Find q, given that 0*q + 2/5*q**i + 0 = 0.
0
Let p(o) be the third derivative of -o**6/960 + 63*o**5/160 - 45*o**4 - 576*o**3 - 48*o**2. Factor p(t).
-(t - 96)**2*(t + 3)/8
Let y(v) = 2*v**3 + 3*v**2 - 4*v - 1. Let z(u) = 6*u**3 + 3488*u**2 - 1513808*u + 3013692. Let a(g) = 4*y(g) - z(g). Find l such that a(l) = 0.
2, 868
Let g be (2/(1*-2))/((-42)/14616*29). Let m(a) be the second derivative of 0 - 5*a + g*a**2 - 16/3*a**3 + 7/6*a**4 - 1/10*a**5. Solve m(f) = 0 for f.
2, 3
Let o be 189/84 + 6/8 + 0. Let x be (6 - o/6)*6/33. Solve -2/3*l**5 + x + 2/3*l - 10/3*l**2 + 0*l**3 + 7/3*l**4 = 0 for l.
-1, -1/2, 1, 3
Let a(p) = p**2 + p + 1. Let x(k) = 6*k**2 + 1084*k + 1086. Let v(l) = 8*a(l) - x(l). Suppose v(u) = 0. What is u?
-1, 539
Let q(y) be the third derivative of y**8/504 + 4*y**7/315 - 11*y**6/36 - 107*y**5/45 + 29*y**4/3 + 56*y**3 - 5513*y**2. What is p in q(p) = 0?
-6, -1, 2, 7
Let n(h) be the third derivative of 0 + 0*h - 201*h**2 - 1/28*h**4 - 1/490*h**7 + 0*h**6 + 0*h**3 + 3/140*h**5. Factor n(b).
-3*b*(b - 1)**2*(b + 2)/7
Let z(w) = -6*w**3 - 28*w**2 + 577*w - 722. Let b(x) = -x**3 - 4*x**2 + 96*x - 120. Let j(l) = -17*b(l) + 3*z(l). Factor j(v).
-(v - 3)*(v - 2)*(v + 21)
Let o(m) be the first derivative of 0*m + 2/3*m**3 + 3/7*m**2 + 5/14*m**4 + 2/35*m**5 - 109. Suppose o(f) = 0. What is f?
-3, -1, 0
Factor 151/2*h + 1/4*h**2 + 150.
(h + 2)*(h + 300)/4
Let q(n) = -2*n**2 + 60*n + 227. Let x(m) = 5*m**2 - 122*m - 463. Let p(l) = -7*q(l) - 3*x(l). Suppose p(f) = 0. What is f?
-50, -4
Find j, given that 49600 + 41*j**2 - 7404*j + 42*j**2 + 3324*j + 28*j**2 - j**3 + 0*j**2 = 0.
31, 40
Let v be ((-276)/(-16))/(21/56). Suppose -3*r + 2*r**2 + 18*r**3 - 3*r**4 - 11*r**2 - v*r**3 + 19*r**3 = 0. Calculate r.
-1, 0
Suppose -12*t + 16*t - 4*o - 208 = 0, 0 = 5*o - 20. Suppose -44*l - 36 = -t*l. Determine c so that 4*c + 7/4*c**2 + 1/4*c**l + 3 = 0.
-3, -2
Let g(p) be the first derivative of 6*p**5 + 79/4*p**4 + 3*p**2 + 23/2*p**3 - 38 + 25*p - 72/5*p**6. Let z(j) be the first derivative of g(j). Solve z(x) = 0.
-1/4, -2/9, 1
Suppose 28*p = 93 + 98 - 107. Let u(m) be the second derivative of 5/8*m**5 + 3*m**2 - 14/3*m**p + 55/24*m**4 + 18*m + 0. Factor u(d).
(d + 3)*(5*d - 2)**2/2
Let 26111*g**2 + 5*g**4 + 37369*g**2 + 10595090 - 1946720*g + 11792190 - 920*g**3 = 0. What is g?
46
Let z(t) be the third derivative of 5*t**8/336 - 107*t**7/42 + 1349*t**6/12 + 4373*t**5/6 + 44825*t**4/24 + 15125*t**3/6 + 10970*t**2. Factor z(o).
5*(o - 55)**2*(o + 1)**3
Let o(h) be the third derivative of -h**8/1344 + h**7/28 - 7*h**6/40 + 41*h**5/120 - 9*h**4/32 - 2172*h**2. Find g, given that o(g) = 0.
0, 1, 27
Let x(l) be the first derivative of -4/45*l**5 + 0*l**3 - 1/6*l**4 + 0*l**2 + 0*l + 1/27*l**6 + 20. Factor x(n).
2*n**3*(n - 3)*(n + 1)/9
Let r(z) be the third derivative of -z**7/105 + 17*z**6/60 - 41*z**5/30 - 17*z**4/12 + 14*z**3 - 9*z**2 + 30. What is w in r(w) = 0?
-1, 1, 3, 14
Let p(k) be the first derivative of k**4/16 + k**3 - 132*k - 163. Let v(f) be the first derivative of p(f). Suppose v(l) = 0. What is l?
-8, 0
Determine m so that -1/3*m**3 + 1064/3 - 2129/3*m + 1066/3*m**2 = 0.
1, 1064
Suppose -299*v + v**2 + v**2 + 492*v - 255*v = 0. Calculate v.
0, 31
Let b = -3456 + 3456. Let o(a) be the first derivative of -4/3*a**2 - 16 + 2/3*a**3 + 1/6*a**4 + b*a. Let o(s) = 0. What is s?
-4, 0, 1
Let a = -11/6928 + 27789/48496. Factor -100/7*r**3 + 80/7*r**2 - 2*r**5 - 30/7*r + 60/7*r**4 + a.
-2*(r - 1)**4*(7*r - 2)/7
Let b(g) be the second derivative of -9/5*g**5 + 0 + 10/3*g**3 - 13*g + 2*g**4 - 4*g**2. Factor b(x).
-4*(x - 1)*(3*x - 1)*(3*x + 2)
Let p be ((-2)/(-144))/(-20 - (-21 - 4)). Let s(q) be the third derivative of -p*q**5 - q**2 + 0 - 1/36*q**4 + 0*q - 1/9*q**3. Solve s(l) = 0 for l.
-2
Suppose 0*x = 9*x - 180. Factor 13 - 57*s - 3*s**2 + 7 - x.
-3*s*(s + 19)
Let n(p) be the second derivative of p**7/280 + 9*p**6/40 + 243*p**5/40 + 729*p**4/8 - 35*p**3/6 + 52*p. Let t(h) be the second derivative of n(h). Factor t(d).
3*(d + 9)**3
Let w be (11 - (-9)/(-1))*5/(-7). Let n = 5/21 - w. What is h in -n*h - h**2 - 2/3 = 0?
-1, -2/3
Let l(h) = -3*h**3 - 10*h**2 + 123*h - 5. Let s(k) = 4*k**3 + 16*k**2 - 184*k + 8. Let m(o) = -8*l(o) - 5*s(o). Suppose m(i) = 0. What is i?
-4, 0, 4
Let q(s) = 5*s + 156. Let i be q(-30). Suppose 5 = o + g, i = -4*o + 4*g - 14. Factor -1/3*h**2 + o + 2*h.
-h*(h - 6)/3
Suppose 15*t + 6 - 118 = -41*t. Let h(p) be the first derivative of 7*p + 9 + 1/3*p**3 - 4*p**t. Factor h(v).
(v - 7)*(v - 1)
Let z = 3983 + -3983. Let y(s) be 