) + 612/(-81) + 1. Find k, given that 2/9*k**2 - s + 2/9*k = 0.
-2, 1
Let l(m) = 4*m**3 + 507*m**2 - 2045*m + 1569. Let h(n) = -2*n**3 - 254*n**2 + 1022*n - 786. Let z(t) = -7*h(t) - 4*l(t). Factor z(b).
-2*(b - 3)*(b - 1)*(b + 129)
Let r = -13685/44 - -311. Let f = 443/132 + r. Solve -f*n**3 + 0 - 25/6*n**2 - 5/3*n - 5/6*n**4 = 0 for n.
-2, -1, 0
Suppose 324/13*g**2 + 352/13*g + 48/13*g**3 + 2/13*g**4 - 726/13 = 0. Calculate g.
-11, -3, 1
Let b(p) be the third derivative of -23/3*p**4 + 39/5*p**5 + 0*p + 0*p**3 - 1/6*p**6 + 0 + 186*p**2. Factor b(n).
-4*n*(n - 23)*(5*n - 2)
Let y(t) = -21*t**2 - 69*t + 6. Let w = -78 - -45. Let s = 37 + w. Let d(q) = -3*q**2 - 10*q + 1. Let g(x) = s*y(x) - 27*d(x). Factor g(h).
-3*(h + 1)**2
Suppose 2 = v - 2. Let g be (2/1)/(1938/1292 + (-1)/(-6)). Factor -g*r + 2/5*r**2 + 6/5*r**3 - 2/5*r**v + 0.
-2*r*(r - 3)*(r - 1)*(r + 1)/5
Let g(c) = 15*c**3 - 960*c**2 + 4*c - 251. Let f be g(64). Factor 0 + 0*m - 5/2*m**3 - 1/2*m**4 - 3/2*m**2 + 1/2*m**f.
m**2*(m - 3)*(m + 1)**2/2
Let l(w) be the second derivative of 5/54*w**4 + 1/9*w**3 + 29*w + 0 - 1/45*w**5 + 0*w**2. Factor l(g).
-2*g*(g - 3)*(2*g + 1)/9
Let d = 3522 - 3522. Let u(v) be the second derivative of -1/60*v**3 - 6*v + d*v**2 + 0 - 1/120*v**4. Factor u(b).
-b*(b + 1)/10
Let i(z) = -z**3 - 7*z**2 + 14*z - 21. Let b be i(-9). Factor b*p**2 - 7*p + 26*p - 3*p - 10*p + 48*p**2.
3*p*(21*p + 2)
Let c = -145436/3 + 48479. Determine u, given that -c + 2/3*u - 1/3*u**2 = 0.
1
What is c in c**2 - 3*c**2 + 6384 - 6222 = 0?
-9, 9
Suppose -65 = -21*u + 8*u. Factor 121*j + 15*j**3 - 63*j - 58*j + 10*j**2 + u*j**4.
5*j**2*(j + 1)*(j + 2)
Let q(u) be the second derivative of -1/3*u**4 + 3*u + 0*u**2 - 2*u**3 - 5. What is h in q(h) = 0?
-3, 0
Let o(k) be the third derivative of k**8/1008 - k**7/105 + 7*k**6/360 + k**5/30 - k**4/9 + 855*k**2. Let o(w) = 0. What is w?
-1, 0, 1, 2, 4
Let l = 133 + -93. Let s = 43 - l. Factor 70*z + 3*z**3 + z**s - 54*z + 16*z**2.
4*z*(z + 2)**2
Let t(n) = n**3 + 4*n**2 + 6*n + 6. Let r be t(-3). Let s be ((-2)/(-2))/(2*r/(-258)). Find w such that -20 - 21*w**3 + 25*w**3 - 12*w**2 - s*w + 7*w = 0.
-1, 5
Let u(d) = -11*d**2 + 28*d - 10. Let a(t) = 8*t**2 - 19*t + 7. Let r(o) = -10*a(o) - 7*u(o). Suppose r(k) = 0. Calculate k.
-2, 0
Let y(f) be the second derivative of 1/24*f**4 + 4/9*f**3 - 1 - 2*f - f**2. Factor y(l).
(l + 6)*(3*l - 2)/6
Suppose 39 = u - 84. Suppose -u = -3*m - 38*m. Factor -11/3*g**m - 2/3 + 3*g**4 + 11/3*g - 7/3*g**2.
(g - 1)**2*(g + 1)*(9*g - 2)/3
Suppose 3*x + 4*y = 206, y + 2 = 4. Let v be 2 - x/30 - (-34)/70. Let -v*t**2 + 10/7 + 8/7*t = 0. What is t?
-1, 5
Let h = 1155990 + -1155986. Solve 0 - 27/2*m**h - 24*m - 54*m**2 - 3/2*m**5 - 42*m**3 = 0.
-4, -2, -1, 0
Let w(s) = -149*s**3 + 7703*s**2 - 125647*s - 29387. Let j(l) = -51*l**3 + 2568*l**2 - 41883*l - 9795. Let k(u) = 8*j(u) - 3*w(u). Suppose k(y) = 0. What is y?
-3/13, 33
Let h(o) be the second derivative of o**9/16632 - o**8/1848 + o**7/660 - o**6/660 + 20*o**3/3 + 4*o + 3. Let r(p) be the second derivative of h(p). Factor r(k).
2*k**2*(k - 3)*(k - 1)**2/11
Let i be -1 - (1 - 64 - 11). Let j be 96/(-10) + 730/i. Suppose 6/5*q**2 + 0 + 2/5*q**3 - 6/5*q**4 - j*q = 0. What is q?
-1, 0, 1/3, 1
Determine k so that 354/7*k**2 + 20/7*k**5 + 776/7*k**3 - 72/7 - 16*k + 402/7*k**4 = 0.
-18, -1, -1/2, 2/5
Suppose 4*f - 19 = w, 2*f + 6*w - 2*w + 4 = 0. Find u, given that 26*u**f - 2*u**2 - 21*u**4 - 15*u**3 + 15*u - 3*u**2 = 0.
-1, 0, 1, 3
Let s(o) be the second derivative of 9/8*o**3 + 5/16*o**4 - 2*o - 27/80*o**5 - 52 - 7/40*o**6 + 3/4*o**2. Let s(z) = 0. What is z?
-1, -2/7, 1
Let k(z) = -z**3 + 17*z**2 + 13*z + 100. Let i be k(18). Let q be (-1)/(35/i) + 306/630. Factor -1/5*f**3 - 2/5*f**2 - q*f + 0.
-f*(f + 1)**2/5
Suppose -2*w + 16 = -5*b, 7 = w + 4*w + 4*b. Let i(v) be the first derivative of 4*v + v**2 + 9 - 2/3*v**w. Factor i(q).
-2*(q - 2)*(q + 1)
Let x(c) be the second derivative of c**6/15 - c**5 + 14*c**4/3 - 2*c**3 - 45*c**2 + 191*c. Factor x(r).
2*(r - 5)*(r - 3)**2*(r + 1)
Factor 6*d - 432/5 + 2/5*d**2.
2*(d - 9)*(d + 24)/5
Let u(h) = h**3 - 2*h**2 - h. Let y(a) be the second derivative of 5*a**5/4 - 5*a**4 + 5*a**3/6 + 15*a**2 - 147*a. Let o(w) = 30*u(w) - y(w). Factor o(b).
5*(b - 3)*(b + 1)*(b + 2)
Let m = -1/10093 - -10095/20186. Let s(k) be the third derivative of 0 + 0*k + 1/20*k**5 - 1/70*k**7 + m*k**4 - 1/10*k**6 + 0*k**3 - 7*k**2. Solve s(i) = 0.
-4, -1, 0, 1
Let y(j) be the third derivative of j**5/120 - 5*j**4/12 - 8*j**3 + 915*j**2. Solve y(c) = 0.
-4, 24
Let h(f) be the first derivative of -2*f**6/3 - 6*f**5 + 45*f**4/4 - 35*f**3/6 + 21*f - 117. Let l(q) be the first derivative of h(q). Factor l(x).
-5*x*(x + 7)*(2*x - 1)**2
Let v(n) be the first derivative of -n**6/6 - 9*n**5/4 - 10*n**4 - 40*n**3/3 - 33*n - 4. Let s(o) be the first derivative of v(o). Factor s(z).
-5*z*(z + 1)*(z + 4)**2
Let s(r) be the second derivative of -5*r**3 + 7/4*r**4 + 0 - 111*r - 24*r**2 + 3/20*r**5. Factor s(w).
3*(w - 2)*(w + 1)*(w + 8)
Let f(h) = 81*h - 483. Let b be f(6). Let a(y) be the second derivative of 0 + 23*y + 0*y**2 + 0*y**b - 1/60*y**4 + 1/100*y**5. Factor a(l).
l**2*(l - 1)/5
Let g(j) be the first derivative of 1/9*j**3 - 89 + 0*j + 1/36*j**4 - 2/9*j**2. Suppose g(p) = 0. What is p?
-4, 0, 1
Let s be 8*1 - (697/(-544)*4 - -13). Let z(t) be the first derivative of s*t**2 - 1/12*t**3 + 6 + 0*t. Suppose z(g) = 0. Calculate g.
0, 1
Let n(q) be the third derivative of -q**7/105 + 203*q**6/60 + q**5/30 - 203*q**4/12 + 10881*q**2. Factor n(x).
-2*x*(x - 203)*(x - 1)*(x + 1)
Let f(a) be the third derivative of a**6/30 + 7*a**5/3 + 61*a**4/2 + 174*a**3 - 5*a**2 + 11*a. Factor f(z).
4*(z + 3)**2*(z + 29)
Let s = -10143/26 - -795/2. Let o be 0 + 216/52 + -4. Factor -22/13*m**4 - o*m**5 - 224/13*m - s - 16*m**2 - 96/13*m**3.
-2*(m + 2)**4*(m + 3)/13
Suppose -564*p = -563*p + 7, v = -5*p - 33. Solve 5/3 - 1/3*a**3 - 5/3*a**v + 1/3*a = 0 for a.
-5, -1, 1
Let o be -34 + 20 - 1*279/(-18). Factor 30 + 3/2*y**3 - 24*y + o*y**2.
3*(y - 2)**2*(y + 5)/2
Let i(f) be the third derivative of -f**5/330 - 7*f**4/4 + 466*f**3/33 - 4*f**2 + 68*f. Factor i(k).
-2*(k - 2)*(k + 233)/11
Suppose 393 = 1753*z - 1600*z - 372. Suppose 1/2*x**z + 7/2*x**3 - 5/2*x**4 + 0*x + 0 - 3/2*x**2 = 0. What is x?
0, 1, 3
Determine x so that -14*x**4 - 10*x**2 - 35*x**3 + 11*x**4 - 55*x**3 - 2*x**5 - 98*x**2 - 21*x**4 = 0.
-6, -3, 0
Let o = -1003 + 1633. Find l such that -o*l + 423*l**3 - 196 - 437*l**3 + 290*l**2 - 98*l**2 = 0.
-2/7, 7
Let a = 44780 - 44777. Let -3/7*q**5 + 36/7*q**a + 48/7*q + 0 + 3/7*q**4 - 12*q**2 = 0. What is q?
-4, 0, 1, 2
Let m = -186715 + 1310633/7. Let w = -518 + m. Find p, given that w*p**3 - 2/7*p**2 - 4/7*p + 0 = 0.
-1, 0, 2
Let 4/3*s**2 + 0*s + 0 - 10/9*s**3 - 2/9*s**4 = 0. Calculate s.
-6, 0, 1
Let l(f) be the second derivative of -f**5/20 - 3*f**4 + 43*f**3/6 + 111*f**2 + 48*f - 39. Factor l(r).
-(r - 3)*(r + 2)*(r + 37)
Let h be (-2 - 39/(-18))/((-1006)/(-12072)). Factor -100/11*w + 2/11*w**h + 1250/11.
2*(w - 25)**2/11
Let v(i) = -2*i**2 - i + 25. Let k be v(3). What is d in 3*d - 4*d**k - 7*d**2 - 11*d**4 + 0*d + 14*d**4 + 5*d**3 = 0?
0, 1, 3
Determine f, given that -37*f**3 + 236*f**3 + 59*f**3 + 26*f**2 - 7*f**2 - 258*f - 63*f**4 + 24 + 20*f**2 = 0.
-1, 2/21, 1, 4
Let o be 60/(-75)*5/(-2). Let t(y) = -2*y**2 - 49*y + 44. Let b be t(-25). Factor -35 + 106*p**o + 335 + b*p + 521*p + 137*p**2.
3*(9*p + 10)**2
Let i(l) be the first derivative of -9/2*l**2 + 36 + 0*l + l**3. Factor i(n).
3*n*(n - 3)
Factor -1/5*s**2 - 43/5*s - 252/5.
-(s + 7)*(s + 36)/5
Let x(g) be the first derivative of 187 + 55/3*g**3 + 5*g**4 - 15*g**2 - 45*g. Solve x(m) = 0 for m.
-3, -3/4, 1
Factor -96/13 - 44/13*d + 2/13*d**2.
2*(d - 24)*(d + 2)/13
Let y be (4 - (-81)/(-21))/((-106)/(-371)). Find i, given that -5/2*i + 3*i**3 - y*i**5 + 0 - 2*i**2 + 2*i**4 = 0.
-1, 0, 1, 5
Solve -919 - 4954*q**4 + 70*q**2 + 25*q**3 + 65*q**2 - 431 - 4960*q**4 - 405*q + 9909*q**4 = 0.
-3, 5, 6
Let d be -2 - ((-153)/(-5) + (-141)/235). Let c be (-2 - d/14)*14. Determine u, given that 12/23*u - 6/23*u**3 + 2/23*u**5 + 0 - 14/23*u**2 + 6/23*u**c = 0.
-3, -2, 0, 1
Let o = 5464 - 5446. Let s(v) be the third deriv