. Factor b(m).
-2*(m + 1470)**2/5
Let a be (-879)/(-1172)*(-16)/(-18). Let m(t) be the third derivative of -2/3*t**3 + a*t**4 - 2/5*t**5 + 0 + t**2 + 2/15*t**6 + 0*t - 2/105*t**7. Factor m(s).
-4*(s - 1)**4
Let v(p) be the first derivative of -50 + 0*p**2 - 4/7*p**3 - 3/28*p**4 + 0*p. Solve v(n) = 0 for n.
-4, 0
Let g(h) = -7*h**3 + 411*h**2 - 1193*h + 807. Let f(x) = x**3 - x**2 - x - 5. Let i(m) = -3*f(m) - g(m). Find o, given that i(o) = 0.
1, 2, 99
Let f be 232/70*(3 + 72/(-32)). Let o = f - -5/7. Factor -16/5*s - 4/5*s**2 - o.
-4*(s + 2)**2/5
Let m(f) = -f**2 - 2*f + 2069. Let l be m(44). Let j(y) be the second derivative of -16/3*y**3 - 1/3*y**4 + 0*y**2 - 1 + l*y. Factor j(c).
-4*c*(c + 8)
Let c = 29715787/272265 + -1/38895. Let h = -4409/42 + c. Factor 35/6*o**2 + h*o - 5/3.
5*(o + 1)*(7*o - 2)/6
Factor 3/8*c**5 + 0 + 3/2*c**4 + 0*c + 0*c**2 + 9/8*c**3.
3*c**3*(c + 1)*(c + 3)/8
Suppose 0 = -4*m + p - 76 + 242, -6 = -3*p. Suppose 26*g = m*g. Determine n, given that 0*n**3 + 1/7*n**4 + g - 3/7*n**2 - 2/7*n = 0.
-1, 0, 2
Suppose -42*l = -36*l + 3096. Let n = l + 521. Find g such that -15 + n*g + 25/3*g**2 + 5/3*g**3 = 0.
-3, 1
Let x(d) be the second derivative of -29*d**2 - 42*d - 19*d**3 + 0 - 9/2*d**4 + 1/10*d**5. Factor x(y).
2*(y - 29)*(y + 1)**2
Let a(h) be the third derivative of -h**6 - h**5/20 + 20*h**4 + 2*h**3 - 45*h**2 - 1. Factor a(l).
-3*(l - 2)*(l + 2)*(40*l + 1)
Let o = 0 - -4. Let x = -125823 - -125823. Factor 128*n + 1/4*n**o + 48*n**2 + 6*n**3 + x.
n*(n + 8)**3/4
Let d(t) be the first derivative of -10*t**2 + 265/2*t**5 + 46 - 50/3*t**3 + 0*t + 875/12*t**6 + 195/4*t**4. Suppose d(c) = 0. What is c?
-1, -2/5, 0, 2/7
Let m be (4 - 3)*0/(5 - -2). Suppose 6*r = 2*f + 5*r, -5*f - r = m. Factor 0*v**4 - 1/3*v**3 + 0*v + f*v**2 + 1/3*v**5 + 0.
v**3*(v - 1)*(v + 1)/3
Determine b so that -273/5*b**2 + 3/5*b**4 - 489/5*b - 234/5 - 3*b**3 = 0.
-6, -1, 13
Let z be (23/(-3))/((3/(-1))/(-9)). Let i = z - -27. What is j in 16*j**3 + 32*j**2 - 28*j**i - 4 - 133*j**5 + 6*j**3 + 2*j**3 + 109*j**5 = 0?
-1, -1/2, 1/3, 1
Let i be 251512/37980 + (-20)/9. Determine g so that 82/5*g + i*g**3 + 28/5 + 78/5*g**2 - 2/5*g**4 = 0.
-1, 14
Let l(a) be the first derivative of 2*a**6/15 - 12*a**5/25 + 2*a**4/5 - 2141. Factor l(j).
4*j**3*(j - 2)*(j - 1)/5
Suppose -85 = 12*q - 29*q. Find s such that -s**4 - 32*s**2 - 11*s**3 + 24*s**2 - s**3 + 3*s**q + 3*s**4 + 0*s**3 = 0.
-2, -2/3, 0, 2
Let f(n) be the first derivative of 20480*n**6/27 + 49664*n**5/45 + 1528*n**4/9 - 2410*n**3/27 + 89*n**2/9 - 4*n/9 + 2607. Solve f(s) = 0.
-1, -2/5, 1/16
Solve -9*b**2 + 60 - 42*b - 3/2*b**4 + 21/2*b**3 = 0.
-2, 2, 5
Let l(j) be the third derivative of 0 + 0*j**3 + 7/72*j**4 + j**2 - 1/180*j**5 + 2*j. Factor l(p).
-p*(p - 7)/3
Let r(p) = 27*p + 355. Let y be r(-13). Let d(v) be the first derivative of 0*v - 2/5*v**5 - 1/4*v**y + 14 - 1/6*v**6 + 0*v**2 + 0*v**3. Factor d(z).
-z**3*(z + 1)**2
Let f(z) be the first derivative of 0*z + 0*z**5 - 19/3*z**3 + 0*z**2 - 1/1980*z**6 + 0*z**4 - 7. Let l(r) be the third derivative of f(r). Factor l(t).
-2*t**2/11
Let y(n) be the first derivative of -1/8*n**4 + 1/9*n**3 + 1/72*n**6 + 0*n + 15 + 25/2*n**2 - 1/30*n**5. Let f(m) be the second derivative of y(m). Factor f(l).
(l - 2)*(l + 1)*(5*l - 1)/3
Let k(a) be the first derivative of 14*a**5/5 - 106*a**4/9 - 1856*a**3/27 - 48*a**2 + 32*a - 276. Let k(b) = 0. Calculate b.
-2, -6/7, 2/9, 6
Let b = 333166/7 - 47592. Factor -b*n**2 - 18/7 - 2/7*n**3 - 38/7*n.
-2*(n + 1)**2*(n + 9)/7
Suppose -14154*d + 7136*d - 3822 + 3*d**2 + 7087*d = 0. Calculate d.
-49, 26
Let g = 1323269/84825 - -1/84825. Find u, given that -3/5*u**2 - g*u - 507/5 = 0.
-13
Suppose 307*z - 1893 = -405*z + 81*z. Determine x, given that 32/9*x + 0 - 10/9*x**5 - 40/9*x**z - 8/3*x**2 + 14/3*x**4 = 0.
-4/5, 0, 1, 2
Let w(x) = 2*x**2 - 1746*x - 8. Let i(l) = -4*l**2 + 3489*l + 20. Let a(s) = 2*i(s) + 5*w(s). Solve a(o) = 0.
0, 876
Suppose -41 + 2/9*x**2 - 737/9*x = 0. Calculate x.
-1/2, 369
Let k be ((-3)/27)/(-37 + (-19400)/(-525)). Suppose 0 - 6*u - 1/3*u**4 - k*u**2 + 10/3*u**3 = 0. What is u?
-1, 0, 2, 9
Let t(b) = 2*b**2 - 3*b - 1. Let u be t(-1). Let i be (-4)/((-1)/(u/8)). Factor -14*s**4 - i*s**5 + 3*s**4 - 12*s**3 - s**4 - s**5.
-3*s**3*(s + 2)**2
Let o(i) be the first derivative of i**5/10 + 9*i**4/8 - 101*i**3/6 + 171*i**2/4 - 40*i + 6029. Factor o(x).
(x - 5)*(x - 1)**2*(x + 16)/2
Let y = -1292926 + 1292931. Suppose 0 + 0*x**2 - 2/9*x**y + 0*x - 2/9*x**3 + 4/9*x**4 = 0. What is x?
0, 1
Let k(t) be the third derivative of t**6/30 - 41*t**5/15 + 133*t**4/2 + 294*t**3 - 3916*t**2. Factor k(b).
4*(b - 21)**2*(b + 1)
Let h(y) be the first derivative of 2*y**5/45 + 1231*y**4/9 + 3030722*y**3/27 + 215. Factor h(k).
2*k**2*(k + 1231)**2/9
Let o(q) be the second derivative of 6*q + 0 - 5/12*q**4 + 35*q**2 + 25/6*q**3. Solve o(j) = 0 for j.
-2, 7
Let r(l) be the first derivative of -3*l**5/40 + 3*l**4/32 + 9*l**3/4 - 3*l**2 - 12*l - 4572. Suppose r(b) = 0. Calculate b.
-4, -1, 2, 4
Suppose q = 3713 + 329. Let a = -28162/7 + q. Factor -6/7*h**2 - a*h - 726/7.
-6*(h + 11)**2/7
Let i(t) be the third derivative of -t**6/200 - t**5/20 + 9*t**4/20 + 36*t**3/5 + 5*t**2 + 50. Factor i(h).
-3*(h - 4)*(h + 3)*(h + 6)/5
Let q(g) be the third derivative of -27/7*g**3 + 0*g + 33/140*g**5 + 0 + 11/280*g**6 + 1/490*g**7 + 9/56*g**4 + 119*g**2. Factor q(w).
3*(w - 1)*(w + 3)**2*(w + 6)/7
Factor -43/2*l + 147/2 - l**2.
-(l - 3)*(2*l + 49)/2
Let a(o) be the first derivative of 3*o**4/8 + 6*o**3 - 243*o**2/4 + 102*o - 5562. Determine w so that a(w) = 0.
-17, 1, 4
Factor 5038/9*m**2 - 3220/3*m + 529 + 1/9*m**4 - 140/9*m**3.
(m - 69)**2*(m - 1)**2/9
Let y(f) be the first derivative of -1/12*f**4 + 9*f**2 - 9 + 0*f**3 + 1/12*f**5 + 0*f. Let b(i) be the second derivative of y(i). Let b(c) = 0. Calculate c.
0, 2/5
Factor -2/19*p**2 + 796/19 - 394/19*p.
-2*(p - 2)*(p + 199)/19
Let z(j) be the first derivative of -3*j**4/4 - 52*j**3 + 162*j**2 + 1095. Solve z(w) = 0 for w.
-54, 0, 2
Find n, given that -195480*n**2 - 98283*n + 16481*n**4 - 3*n**5 - 96114*n**3 - 31743*n**4 + 16342*n**4 = 0.
-1, 0, 181
Let -262/11*d**2 - 42/11*d**4 + 2/11*d**5 + 360/11 - 144/11*d + 18*d**3 = 0. What is d?
-1, 2, 3, 15
Let y(t) be the second derivative of t**8/1680 - t**7/840 - t**6/72 - t**5/40 + 97*t**3/6 - 120*t. Let d(k) be the second derivative of y(k). Factor d(o).
o*(o - 3)*(o + 1)**2
Let j(m) be the second derivative of -m**5/20 + m**4/4 + 49*m**3/6 + 45*m**2/2 - 51*m. Factor j(d).
-(d - 9)*(d + 1)*(d + 5)
Factor 28*t**2 + 0*t**3 + 10*t**3 + 50 + 2*t**4 - 2*t**3 + 64*t**2 + 16*t**3 + 120*t.
2*(t + 1)**2*(t + 5)**2
Suppose -427*f - 27 = -436*f. Factor -1/4*w + 1/4*w**f - 3/2 + 3/2*w**2.
(w - 1)*(w + 1)*(w + 6)/4
Let m(d) = 89*d**3 + 181*d**2 - 1308*d - 59. Let l(k) = k**3 + k**2 + 4*k + 1. Let s(h) = -l(h) + m(h). Factor s(b).
4*(b - 3)*(b + 5)*(22*b + 1)
Factor 45*w**2 + 195/4*w**3 - 95*w + 5/4*w**4 + 0.
5*w*(w - 1)*(w + 2)*(w + 38)/4
Let y(d) be the first derivative of 0*d + 1/13*d**2 + 4/39*d**3 - 124 + 1/26*d**4. Determine i, given that y(i) = 0.
-1, 0
Let x(a) be the first derivative of 0*a**2 + 2 + 8*a - 1/3*a**3 - 7/30*a**6 + 7/12*a**4 + 1/10*a**5. Let n(c) be the first derivative of x(c). Factor n(p).
-p*(p - 1)*(p + 1)*(7*p - 2)
Let u(s) be the third derivative of -s**6/420 + 149*s**5/105 - 295*s**4/84 - 198*s**3/7 - 321*s**2 + 2*s + 1. Let u(i) = 0. Calculate i.
-1, 2, 297
Determine k, given that 3*k**2 + 14*k**5 + 13*k**4 + 20*k**2 + 6*k + 36*k**3 - 36 + 11*k**3 - 13*k**5 - 54*k = 0.
-6, -1, 1
Let u(j) = 39*j**5 - 24*j**4 + 6*j**3 + 171*j**2 + 72*j - 45. Let m(k) = -3*k**5 - k**4 - k**2 + 3. Let r(t) = 15*m(t) + u(t). Suppose r(l) = 0. What is l?
-6, -2, -1/2, 0, 2
Let w be ((-312)/(-5200))/(12/720). Factor -44/5*g**2 + 0 + 0*g + w*g**3 + 2/5*g**4.
2*g**2*(g - 2)*(g + 11)/5
Let i(z) be the second derivative of 5*z**4/36 - 7580*z**3/9 + 5745640*z**2/3 + 3642*z. Factor i(f).
5*(f - 1516)**2/3
Let d(a) be the third derivative of 0*a**5 + 10*a**2 + 0*a**3 + 0*a + 0 - 1/21*a**4 + 1/420*a**6. Factor d(l).
2*l*(l - 2)*(l + 2)/7
Let c(u) = 282*u**2 + 6*u - 32. Let r be c(-8). Suppose -5*n + 4*y + 1834 = -r, -4*n = -2*y - 15844. Factor -4 - 2*z**3 + n*z*