g - 32. Let x be 0/(o/(-7)) - -2. Solve 12 - 21/2*n**5 - 45*n**4 - 87/2*n**3 + 33*n**x + 54*n = 0.
-2, -1, -2/7, 1
Let x(t) be the third derivative of 0 + 1/30*t**5 + 22*t**2 + 0*t - 3*t**3 + 1/180*t**6 + 0*t**4. Let b(w) be the first derivative of x(w). Factor b(a).
2*a*(a + 2)
Let c = 3176/5 + -22172/35. Factor c*s**2 - 200/7 - 30/7*s + 2/7*s**3.
2*(s - 4)*(s + 5)**2/7
Let x be (-98)/(-28) - (-3)/2. Let h(k) = -6*k**2 + 991*k - 41354. Let n(r) = -9*r**2 + 1487*r - 62029. Let t(o) = x*n(o) - 7*h(o). Find f, given that t(f) = 0.
83
Suppose 13*m - 3*z = 14*m + 12, -m + 3*z = -18. Suppose m*n + 5*o + 8 - 9 = 0, -2*n + 2 = 2*o. Determine l so that -24/11*l + 6/11*l**n + 24/11 = 0.
2
Let m(y) be the second derivative of 6/5*y**2 - 2 + 1/5*y**3 + 1/25*y**6 - 3/10*y**4 + 19*y - 3/50*y**5. Factor m(k).
6*(k - 2)*(k - 1)*(k + 1)**2/5
Let s(j) be the second derivative of -19*j**4/6 - 7*j**3 + 13*j**2/2 + 171*j. Let o(l) = l**2 + 2. Let u(b) = -44*o(b) + 4*s(b). Factor u(k).
-4*(7*k + 3)**2
Let l(x) = -7*x**2 + x - 1. Let j(y) = -y**3 + 43*y**2 - 76*y - 39. Let u(c) = j(c) + 9*l(c). Factor u(a).
-(a + 1)*(a + 3)*(a + 16)
Let q = -10054 - -10065. Let p(d) be the second derivative of 0*d**3 + 0*d**2 - 3/20*d**5 + 1/4*d**4 + 0 + 1/14*d**7 + q*d - 1/10*d**6. Solve p(c) = 0 for c.
-1, 0, 1
Suppose -31*j + 28*j - 8065 = 4*n, j = 5*n - 2682. Let q = -2685 - j. Suppose 4/5*a**q - 8/5*a + 4/5 = 0. Calculate a.
1
Suppose 5*s + 4*j - 23 + 0 = 0, -3*s + 3 = -3*j. Let -s*c - 9*c + 4*c**2 - 184 + 168 = 0. Calculate c.
-1, 4
Let x be (2 - (-1)/2)*8/10. Suppose 16*g - 9*g**2 + x*g**2 - 61*g + 12*g**2 = 0. What is g?
0, 9
Let w(t) = 31*t**4 - 7759*t**3 + 1412*t**2 - 2*t + 2. Let s(c) = 154*c**4 - 38794*c**3 + 7061*c**2 - 11*c + 11. Let m(p) = -2*s(p) + 11*w(p). Factor m(g).
3*g**2*(g - 235)*(11*g - 2)
Let h(k) be the first derivative of -k**4/8 - k**3/3 + k**2/4 + k + 357. Determine z so that h(z) = 0.
-2, -1, 1
Suppose -4*y = -87 - 33. Determine o so that 44*o**2 - 70*o**2 - 2*o**4 - 2 + y*o**2 = 0.
-1, 1
Let c(y) be the second derivative of 0*y**5 - 4/15*y**6 + 0*y**2 - 6 + 0*y**4 - 1/21*y**7 + 0*y**3 + 2*y. Let c(t) = 0. What is t?
-4, 0
Suppose 2*r = -3*p - 2*p - 2, -3*p - 6 = 0. Let c be ((-2)/(-6))/((-5)/(-180)). Factor 19*a**r + 20*a**4 - 2*a - 4*a**3 - 8 - 43*a**4 + c*a**2 + 6*a.
-4*(a - 1)**2*(a + 1)*(a + 2)
Let q(d) be the first derivative of -81*d**7/280 - 51*d**6/40 - 11*d**5/5 - 2*d**4 - 85*d**3/3 - 69. Let v(a) be the third derivative of q(a). Factor v(r).
-3*(r + 1)*(9*r + 4)**2
Let d = 3303304/7 + -471898. Let -32/7 + 48/7*i - d*i**2 + 2/7*i**3 = 0. What is i?
1, 4
Let g = -1319 - -2924. Let x = -8022/5 + g. Factor 3/5*t + 0 - x*t**2.
-3*t*(t - 1)/5
Let d(b) be the first derivative of -b**6/2 + 18*b**5/5 - 9*b**4 + 10*b**3 - 9*b**2/2 + 215. Solve d(k) = 0.
0, 1, 3
Let a(s) be the third derivative of s**5/60 - 175*s**4/4 + 91875*s**3/2 - 250*s**2. Factor a(r).
(r - 525)**2
Suppose -450*a**2 + 3/2*a**3 + 45000*a - 1500000 = 0. What is a?
100
Let c(n) = -71*n - 337. Let g be c(-5). Let s be 74/g + (-22 - -19). Solve 4/9*m + 0 - s*m**3 - 2/3*m**2 = 0 for m.
-1, 0, 2/5
Determine j, given that -171*j + 47*j**2 + 40*j**2 + 41*j**2 + 37*j**2 - 168*j**2 = 0.
-57, 0
Suppose -6*b**5 + 192*b**3 - 39*b**4 - 179 - 183*b**2 + 74 - 24*b + 165 = 0. What is b?
-10, -1/2, 1, 2
Let k(f) be the third derivative of -f**8/1344 - 7*f**7/60 - 193*f**6/480 - 2*f**5/5 - 509*f**2. Factor k(v).
-v**2*(v + 1)**2*(v + 96)/4
Let b(a) = -3*a**2 - 5013*a - 3308. Let w(p) = -4*p + 2. Let v(c) = -5*b(c) + 35*w(c). Determine f, given that v(f) = 0.
-1661, -2/3
Suppose 16*z + 2*i = 15*z + 42, -5*i + 30 = 0. Let u(b) be the first derivative of z + 5/3*b**3 + 0*b**2 - 5*b. Suppose u(o) = 0. What is o?
-1, 1
Let r(v) be the second derivative of v**5/50 - 23*v**4/5 + 6*v - 24. Determine f, given that r(f) = 0.
0, 138
Let f(n) be the second derivative of n**7/21 - 2*n**6/15 - 104*n - 3. Factor f(p).
2*p**4*(p - 2)
Let k(o) be the first derivative of -2*o**5/5 + 33*o**4/2 - 60*o**3 - 4487. Factor k(c).
-2*c**2*(c - 30)*(c - 3)
Let m(a) be the second derivative of 2*a**5/15 + 161*a**4/9 + 476*a**3/9 + 158*a**2/3 - 52*a - 2. Determine c, given that m(c) = 0.
-79, -1, -1/2
Let q be (1 + 29 + -22)*(-499)/42*-3. Let -1088/7*x**2 + 64/7 + q*x**4 + 80*x**5 - 64/7*x + 176*x**3 = 0. What is x?
-2, -1/4, 2/7, 2/5
What is d in -1/2*d**5 + 3/2*d**4 + 0*d**3 + 0 + 0*d - 2*d**2 = 0?
-1, 0, 2
Let q be (397/((-314424)/1760))/(10/(-12)). Solve -1/3*d**3 + 0*d - q*d**2 + 0 = 0 for d.
-8, 0
Factor 14608*l**3 + 10537034*l**2 + 9468622*l**2 + 12176775952*l + 13*l**4 - 9*l**4 + 2779349111044.
4*(l + 913)**4
Factor 141/7 + 4/7*r**3 - 704/7*r + 559/7*r**2.
(r - 1)*(r + 141)*(4*r - 1)/7
Let z(i) = i**2 - 8*i + 4. Let c = 63 + -55. Let f be z(c). Factor -5*x**f + 15*x**3 + 575*x - 575*x.
-5*x**3*(x - 3)
Let s(t) = -t**3 - 2*t + 49. Let a be s(0). Let x = a - 45. Let 8*r**3 - r**3 - 5*r**2 - r**3 + 5 - 10*r + x*r**3 = 0. Calculate r.
-1, 1/2, 1
Let p = -12667 + 12671. Let g(u) be the second derivative of 0 + 1/60*u**p - 16*u + 11/30*u**3 + u**2. Let g(c) = 0. What is c?
-10, -1
Suppose 0 = 7*w - 24*w + 374. Suppose 120*q + 11*q**4 + 110*q**3 + 20 + 140*q**2 - 35*q + 5*q**5 - 12*q**4 + w*q**4 + 19*q**4 = 0. What is q?
-4, -1
Let p(l) be the second derivative of 0 + 0*l**2 + 171*l - 25/4*l**3 + 1/8*l**4. Determine k so that p(k) = 0.
0, 25
Let w(v) = -9*v**3 + 201*v**2 - 821*v + 805. Let q(a) = 11*a**3 - 201*a**2 + 822*a - 802. Let d(c) = -5*q(c) - 6*w(c). Factor d(l).
-(l - 2)**2*(l + 205)
Let g = -480331 + 1921325/4. Factor 0 - g*p**2 + p.
-p*(p - 4)/4
Solve -4 + 36*w - 2*w**2 + 5*w**2 - 188 = 0.
-16, 4
Let v(d) = -6*d + 95. Let f be v(15). Suppose -24*u**f + 25*u**3 - 84*u**2 + 94*u**2 - u**5 - 10*u**4 = 0. Calculate u.
-1, -2/5, 0, 1
Let d(z) be the first derivative of -12/11*z + 2/33*z**3 + 1 + 5/11*z**2. Find o, given that d(o) = 0.
-6, 1
Suppose 84 = 27*w - 15*w. What is v in 172 - 10*v**2 + 36*v - 232 + w*v**2 = 0?
2, 10
Let h(u) = 23*u**3 - 1673*u**2 + 1091*u - 184. Let y(v) = -12*v**3 + 837*v**2 - 544*v + 92. Let i(j) = 3*h(j) + 5*y(j). Factor i(z).
(z - 92)*(3*z - 1)**2
Suppose 54*o - 52*o - 4*j + 16 = 0, -4*o = -4*j - 4. Factor 1/2*g**3 + 9/2*g**2 + 6 + o*g.
(g + 1)*(g + 2)*(g + 6)/2
Let v(w) be the first derivative of w**3/9 - 1323*w**2 + 5250987*w - 2578. Determine q so that v(q) = 0.
3969
Let l = 1928010/17 - 113410. Determine b, given that l*b**2 + 324/17 + 2/17*b**3 + 234/17*b = 0.
-9, -2
Let t(a) be the first derivative of 4*a**3/3 - 382*a**2 + 760*a + 1065. Factor t(r).
4*(r - 190)*(r - 1)
Let b(d) be the first derivative of -2*d**6/3 - 12*d**5/5 + 5*d**4 + 4*d**3 - 8*d**2 - 6018. Suppose b(a) = 0. Calculate a.
-4, -1, 0, 1
Let n(f) be the third derivative of 10/3*f**3 + 0*f + 20*f**2 + 1/15*f**5 + f**4 + 0. Let n(k) = 0. Calculate k.
-5, -1
Factor -1/3*y**2 + 245/3*y + 82.
-(y - 246)*(y + 1)/3
Let w = 514 + -1547/3. Let m = w - -23/9. Factor -14/9*c**3 + 10/9*c**2 + 32/9*c + m.
-2*(c - 2)*(c + 1)*(7*c + 2)/9
Let j(o) be the first derivative of -5*o**9/1008 - o**8/280 - o**3 + 2*o - 3. Let k(r) be the third derivative of j(r). Let k(y) = 0. What is y?
-2/5, 0
Let b = -188629/5 + 37608. Let c = -113 - b. Factor -12/5*k**3 - 2/5*k**4 - c*k - 8/5 - 26/5*k**2.
-2*(k + 1)**2*(k + 2)**2/5
Let l = 341668 + -341666. Let -3/8*m**l - 39/4*m + 0 = 0. What is m?
-26, 0
Let c(h) be the third derivative of h**6/72 + 5*h**5/12 + 2*h**3/3 + 58*h**2. Let d(r) be the first derivative of c(r). Factor d(p).
5*p*(p + 10)
Let u(l) = -5820*l - 11590. Let h(i) = i**2 - 8731*i - 17386. Let x(p) = -5*h(p) + 8*u(p). Let x(f) = 0. What is f?
-579, -2
Let h(x) be the first derivative of 173 - 1/18*x**4 - 10/9*x**2 + 0*x + 14/27*x**3. Suppose h(z) = 0. Calculate z.
0, 2, 5
Let g(x) be the third derivative of -x**5/140 + 31*x**4/14 + 125*x**3/14 - 435*x**2. Factor g(p).
-3*(p - 125)*(p + 1)/7
Let l = 19 + -2. Factor -84 - 5*p**2 - l*p**2 + 40*p + 26*p**2 - 8*p**2.
-4*(p - 7)*(p - 3)
Find l, given that 34*l + 17*l + 236*l**2 - 244*l**3 - 43*l = 0.
-2/61, 0, 1
Suppose 612320*l + 56 = 612334*l. Factor 378/5*y - 2/5*y**3 - 2/5*y**l + 432/5 + 18*y**2.
-2*(y - 8)*(y + 3)**3/5
Let z(v) be the third derivative of -1/5*v**5 - 1/15*v**6 + 0*v