termine m so that 16/9*m + 2/3*m**5 - 8/9*m**2 - 28/9*m**3 + h + 2/9*m**4 = 0.
-2, -1, 0, 2/3, 2
Factor -1346*q - 1/2*q**2 - 905858.
-(q + 1346)**2/2
Find v, given that 2/5*v**4 + 2268/5 - 1962/5*v + 514/5*v**2 - 54/5*v**3 = 0.
2, 7, 9
Factor 2668/3*d + 1/3*d**2 + 1779556/3.
(d + 1334)**2/3
Suppose u - 1 = 4*n, 9*u - 4*u - 5 = 4*n. Let k be 1/(((-95)/(-19) + (-222)/45)*9). Factor -k*b**4 + 0*b**2 + n + 0*b + 20/3*b**3.
-5*b**3*(b - 4)/3
Let a(z) be the first derivative of -2/15*z**3 + 0*z + 3/20*z**4 + 0*z**2 - 192 - 1/25*z**5. Find m such that a(m) = 0.
0, 1, 2
Let k = 1087 + -320. Suppose 0 = k*i - 761*i - 18. Let 0 + 1/3*t**i + 3*t - 2*t**2 = 0. What is t?
0, 3
Determine q, given that 2064*q - 58953 - 5*q**2 + 591465 + 7*q**2 = 0.
-516
Let x be -3 + -7 - (14 + 882/(-30)). Factor 33/5*a - 6/5 - x*a**2.
-3*(a - 1)*(9*a - 2)/5
Let j(z) = -3*z**2 + 4*z. Let s be j(1). Let b be ((-62)/(-18) - s) + (-48)/(-216). Find c such that -2/3*c**2 - b*c + 10/3 = 0.
-5, 1
Suppose i - 3*b - 36 = -i, -5*i - 4*b = -67. Factor -5*k**3 + 7*k - 15*k**2 + 5*k**4 - 5 + 3*k**3 - 3*k**3 + i - 2*k.
5*(k - 2)*(k - 1)*(k + 1)**2
Let k(c) be the first derivative of c**4/18 - 1394*c**3/27 + 1390*c**2/9 - 9329. Suppose k(y) = 0. What is y?
0, 2, 695
Determine q, given that -50/3*q**3 + 46/3*q**4 - 40/3 + 152/3*q - 118/3*q**2 + 10/3*q**5 = 0.
-5, -2, 2/5, 1
Let z(m) = -7*m**3 + 297*m**2 - 1677*m + 2527. Let c(b) = -36*b**3 + 1485*b**2 - 8379*b + 12639. Let u(y) = 4*c(y) - 21*z(y). Suppose u(a) = 0. Calculate a.
3, 93
Let q(z) = z**2 + 12*z + 23. Suppose -173 = 24*x + 67. Let m be q(x). Factor -1/3*y**m + y**4 + 0 + 0*y - 2/3*y**2.
y**2*(y - 1)*(3*y + 2)/3
Let m(j) be the first derivative of -3*j**5/40 + 3*j**4 - 311*j**3/8 + 651*j**2/4 - 441*j/2 - 1333. Determine y, given that m(y) = 0.
1, 3, 14
Suppose 8*r + 4 - 28 = 0. Find x, given that -29*x**5 + 2*x**4 - 6*x**r + 4*x**3 - 4*x**2 + 6*x**4 + 35*x**5 = 0.
-1, 0, 2/3
Let t = 259 + -247. Factor 19*f + 2*f**2 + t*f - 19*f - 14.
2*(f - 1)*(f + 7)
Suppose -k - 1471 = 10*m - 5*m, 2*k + 1172 = -4*m. Let j be (9/4)/((-177)/m). Factor -3/4*f**2 + 9/2*f - j.
-3*(f - 5)*(f - 1)/4
Let -198184*z + 99174*z - z**2 + 99134*z = 0. What is z?
0, 124
Solve -346/7*k**3 + 726/7*k - 16/7*k**4 - 1804/7*k**2 + 0 = 0.
-11, 0, 3/8
Let g(r) be the third derivative of r**7/420 - 13*r**6/240 + 23*r**5/60 - r**4 + 131*r**2 - 4*r. Find x such that g(x) = 0.
0, 2, 3, 8
Let o(r) be the second derivative of -r**4/20 + 217*r**3/10 - 963*r**2/5 + 2489*r. Factor o(w).
-3*(w - 214)*(w - 3)/5
Let j(n) be the second derivative of -n**4/27 + 98*n**2/9 + n + 452. Solve j(q) = 0 for q.
-7, 7
What is n in 61480*n**3 + 1004*n**4 + 5809 - 190504*n**2 - 6110*n - 28865*n - 47725 + 4*n**5 + 227507*n - 22600 = 0?
-127, 1
Suppose -462*l - 4*l**2 - 180*l - 49489 + 47585 - 1266*l = 0. What is l?
-476, -1
Let t(b) be the third derivative of 3*b**6/460 - 29*b**5/690 - b**2 - b - 671. Solve t(m) = 0.
0, 29/9
Let h(t) = 17*t**3 - 148*t**2 + 193*t + 74. Let w be h(7). Let 32/5 - 206/5*u - 169/5*u**3 + 71*u**2 - 12/5*u**w = 0. Calculate u.
-16, 1/4, 2/3, 1
Let y = 2674 - 34731/13. Let x = y + -111/52. Factor -x*n**2 - 9/2*n - 81/4.
-(n + 9)**2/4
Let j(s) be the first derivative of -4/5*s**2 - 4/5*s**4 - 4/25*s**5 - 4/3*s**3 - 59 + 0*s. Suppose j(i) = 0. What is i?
-2, -1, 0
Suppose -2*w - 3*w - 4*l + 1 = 0, 2 = -2*l. Let v be w/3*18/6. Factor 61*o**3 - 37*o**3 - v - 1 + 26*o**2.
2*(o + 1)*(3*o + 1)*(4*o - 1)
Factor -2/7*f**3 + 32 - 32/7*f**2 - 40/7*f.
-2*(f - 2)*(f + 4)*(f + 14)/7
Let t = -5703 + 5710. Let s(d) be the second derivative of 0 - 2/21*d**4 + t*d + 1/35*d**5 + 4/35*d**6 + 0*d**2 - 3/49*d**7 - 1/21*d**3. Factor s(z).
-2*z*(z - 1)**2*(3*z + 1)**2/7
Let u(c) be the third derivative of -c**8/33600 + c**7/700 + 13*c**5/12 - 33*c**2 + 2. Let d(y) be the third derivative of u(y). Solve d(n) = 0 for n.
0, 12
Let y be 2/(-26) + (-15042)/(-29757). Factor -3072/7 - 192/7*k - y*k**2.
-3*(k + 32)**2/7
Let u(m) be the second derivative of -m**5/90 + 386*m**4/27 - 3076*m**3/27 + 1024*m**2/3 - 2*m + 1174. Factor u(q).
-2*(q - 768)*(q - 2)**2/9
Let b(x) be the second derivative of x**6/60 + 17*x**5/30 + 21*x**4/4 - 27*x**3 - 141*x**2/2 + 72*x. Let y(u) be the first derivative of b(u). Factor y(p).
2*(p - 1)*(p + 9)**2
Let s(h) = -h**2 + 3*h + 42. Let r be s(8). Let w(i) = 227 + 9*i - 227 - 3*i**r. Let k(o) = o**2 - 2*o. Let z(x) = -9*k(x) - 2*w(x). Solve z(n) = 0 for n.
0
Find u such that 662/15*u**2 - 136/3*u + 8/5 - 164/15*u**3 = 0.
3/82, 2
Let w = -134666473/335492080 + 29/447920. Let h = -1/749 - w. Factor -14/5*m - 12/5 - h*m**2.
-2*(m + 1)*(m + 6)/5
Let v(n) = 6*n**3 - 6*n**2 + 3*n + 10. Suppose 0 = 18*a + a + 95. Let t(z) = 5*z**3 - 6*z**2 + 4*z + 8. Let q(d) = a*t(d) + 4*v(d). Find h such that q(h) = 0.
0, 2, 4
Let n(t) = 8*t**2 + t - 3. Let z be n(1). Suppose z*f + 19 - 103 = 0. Let 4*k + f*k**3 - 6*k**3 - 22*k**4 - 10*k**2 + 20*k**4 = 0. What is k?
0, 1, 2
Let w(m) be the first derivative of m**8/1344 - m**6/160 - m**5/120 - 115*m**2/2 - 65. Let v(g) be the second derivative of w(g). Factor v(l).
l**2*(l - 2)*(l + 1)**2/4
Determine d so that -220/19 + 218/19*d - 2/19*d**3 + 4/19*d**2 = 0.
-10, 1, 11
Let o = 10420 + -260499/25. Let h(a) be the second derivative of 0 - 12*a - 2/15*a**3 + o*a**5 + 1/75*a**6 + 0*a**4 - 1/5*a**2. Suppose h(g) = 0. Calculate g.
-1, 1
Let h(g) be the first derivative of 43/8*g**2 + 1849/8*g + 78 + 1/24*g**3. What is b in h(b) = 0?
-43
Let b(y) be the third derivative of 11/40*y**5 - y**2 + y**3 + 21*y + 0 + 15/16*y**4. Determine i, given that b(i) = 0.
-1, -4/11
Let k(o) be the second derivative of 0 - 5/168*o**7 + 85/24*o**4 - 35/8*o**3 - 50*o - 13/8*o**5 + 3/8*o**6 + 25/8*o**2. Let k(t) = 0. Calculate t.
1, 5
Let s = 19 + -20. Let m be 2*s/6 + (-238)/(-102). Factor 0*y - 2/11*y**m + 0.
-2*y**2/11
Let q(g) be the third derivative of -g**8/2520 - 11*g**7/1575 - g**6/60 + 67*g**5/450 - 2*g**4/9 + 4*g**2 - 519. Determine f, given that q(f) = 0.
-8, -5, 0, 1
Let d(g) be the second derivative of g**7/21 + 31*g**6/15 + 123*g**5/5 + 268*g**4/3 + 320*g**3/3 - 5376*g. Determine x, given that d(x) = 0.
-20, -8, -2, -1, 0
Suppose -5*d + 8*d - 24 = 0. Let f = d + -5. Determine g so that 4*g**3 - 1 - 4*g - 3*g**f + 3*g + g**2 = 0.
-1, 1
Let r(i) be the third derivative of 4/105*i**7 + 0*i**4 + 0*i**5 + 0*i**3 - 186*i**2 + 1/15*i**6 + 0 + 0*i + 1/168*i**8. Factor r(p).
2*p**3*(p + 2)**2
Let a(o) be the second derivative of -o**4/66 + 43*o**3/33 - 156*o**2/11 - 1397*o. Factor a(l).
-2*(l - 39)*(l - 4)/11
Let v be (-4)/(-28) - (-11)/(-77). Let m be v + (-1)/(11/(-22)). Factor -1/7*q**m + 0*q - 1/7*q**3 + 0.
-q**2*(q + 1)/7
Let s(j) = 29*j**2 - 158*j. Let o(q) = 4*q**2 - q. Let r(b) = -21*o(b) + 3*s(b). What is a in r(a) = 0?
0, 151
Let q = 4/883 - -323/123620. Let g(t) be the third derivative of 0 - 1/28*t**4 - q*t**5 + 3/14*t**3 + 0*t + 7*t**2. Factor g(m).
-3*(m - 1)*(m + 3)/7
Let l be (-73)/(-219)*1116/217. Let l*a + 0 + 32/7*a**3 + 10/7*a**4 + 34/7*a**2 = 0. Calculate a.
-6/5, -1, 0
Let r(f) = -4*f**2 - 12*f - 700. Let u(g) = 2*g**2 + 12*g + 705. Let l(o) = 3*r(o) + 4*u(o). Find p such that l(p) = 0.
-12, 15
Let c(n) be the second derivative of -5*n**7/56 + 31*n**6/12 - 47*n**5/8 - 5*n**4/2 + 485*n**3/24 - 95*n**2/4 - 17*n + 13. Let c(d) = 0. What is d?
-1, 2/3, 1, 19
Let b be -1*(2 + -1 + -3). Let l(h) = 2*h**2 + 4*h + 5. Let j be l(-1). Find m such that 3*m + 20*m**j - 44*m**2 + 23*m + b*m - 4 = 0.
1/5, 1
Suppose -3*k + 3*d - 132 = -7*k, -3*k + 4*d + 74 = 0. Let i be (0 - (-1)/(-1))*(-12)/4. Factor -16*b**i - k*b**2 + 0*b**4 + 14*b**2 + b**4 - 5*b**4.
-4*b**2*(b + 2)**2
Let x(n) be the third derivative of -n**7/15120 + 7*n**6/2160 - 13*n**5/720 + 97*n**4/12 - 61*n**2 + 1. Let r(w) be the second derivative of x(w). Factor r(l).
-(l - 13)*(l - 1)/6
Suppose 508 = 22*n - 18*n - 5*c, -4*n + 3*c + 516 = 0. Factor 385*v - 252*v**2 + n*v**3 - 2*v**5 + 384*v - 769*v - 2*v**5 - 4*v**4.
-4*v**2*(v - 3)**2*(v + 7)
Factor -902/9*c - 452/9 + 2/9*c**3 - 448/9*c**2.
2*(c - 226)*(c + 1)**2/9
Let k be (12/15)/(8/120)*-2. Let f(v) = 1316*v**2 + 88*v - 24. Let x(t) = -263*t**2 - 18*t + 5. Let i(u) = k*x(u) - 5*f(u). Let i(m) = 0. Calculate m.
-2/67, 0
Factor 822*r**2 + 4