 -1/183 + 712/61. Determine o so that -w*o**2 - 5/3*o + 35/3 + d*o**3 = 0.
-1, 1, 7
Let c be 0*(9 + 112/(-12)). Let u(a) be the second derivative of -a**3 + c + 2/7*a**2 + 19/42*a**4 + 8*a. Suppose u(m) = 0. Calculate m.
2/19, 1
Let k = -338675 + 2370727/7. Factor 52/7*i**4 + 0 + 282/7*i**3 + k*i**5 + 56*i - 104*i**2.
2*i*(i - 1)**2*(i + 14)**2/7
Suppose -129/4*l - 35/4*l**4 - 217/4*l**2 + 18 + 309/4*l**3 = 0. Calculate l.
-3/5, 3/7, 1, 8
Let o = -184537/20 + 9227. Let q(g) be the third derivative of 3*g**2 + o*g**5 + 0*g + 0 + 1/12*g**4 + 0*g**3. Determine c, given that q(c) = 0.
-2/9, 0
Let z(t) be the second derivative of -165*t + 0 + 50688/5*t**3 - 34848/5*t**4 - 41472/5*t**2 - 29282/75*t**6 + 63888/25*t**5. Factor z(a).
-4*(11*a - 12)**4/5
Let o be (588/(-8) - 0)*(-44)/(-6). Let k = o + 543. Let 14/13*x**3 + 0 - 8/13*x + 4/13*x**k + 8/13*x**2 = 0. What is x?
-2, 0, 1/2
Let t(r) = 8*r**3 + r**2 + 5*r - 4. Let q be t(-5). Let g = 1004 + q. Factor -4/3*x**2 - 8*x + g + 4/3*x**3.
4*x*(x - 3)*(x + 2)/3
Suppose -764 = -4*c + 2*q, 182 = 15*c - 14*c - 5*q. Suppose -c*w + 3413 - 2247 + 2*w**2 + 3442 = 0. Calculate w.
48
Let h(t) be the third derivative of 1/210*t**7 - 2/15*t**5 + 1/4*t**4 + 0*t - 1/20*t**6 - 75*t**2 + 0 + 7/6*t**3. Suppose h(a) = 0. What is a?
-1, 1, 7
Let a be (31/(-20) - (-1106)/632)/((-1)/(-4)). Factor 0 + 24/5*l**3 + 0*l - 36/5*l**2 - a*l**4.
-4*l**2*(l - 3)**2/5
Let p(w) = -w**5 + 2*w**3 - w**2 - w - 10. Let q(s) = -6*s**5 + 4*s**4 + 32*s**3 - 80*s**2 + 70*s - 64. Let z(y) = -4*p(y) + q(y). Solve z(j) = 0 for j.
-4, 1, 3
Let x(b) be the first derivative of 0*b - 51/5*b**5 - 64*b**3 + 73 + 0*b**2 - 60*b**4 - 1/2*b**6. Solve x(s) = 0 for s.
-8, -1, 0
Suppose 0 = 10*p - 0 - 70. Suppose -v + 2*z - 2 = 0, p*z = 2*z + 10. Factor -k**v - 92*k**4 - 6*k**3 + 4*k**2 + 95*k**4.
3*k**2*(k - 1)**2
Find h, given that 728*h + 1/2*h**2 - 1457/2 = 0.
-1457, 1
Let t(v) be the second derivative of 2*v**7/189 - 124*v**6/135 + 166*v**5/9 + 4028*v**4/27 + 3542*v**3/9 + 484*v**2 + 135*v. Suppose t(b) = 0. Calculate b.
-2, -1, 33
Let g(p) = -172*p**3 + 179*p**3 - 12*p**2 + 4*p - 17*p - 3. Let l(u) = -12*u**3 + 23*u**2 + 25*u + 5. Let z(w) = -5*g(w) - 3*l(w). Factor z(i).
i*(i - 10)*(i + 1)
Let a be (0 - 32) + -85 + 121. Find n such that -6/7*n**3 - 2/7*n**2 + 2/7*n**a + 0 + 6/7*n = 0.
-1, 0, 1, 3
Let r(t) = 6*t**2 - 327*t + 3. Let l(d) = 3*d**2 - 327*d + 2. Let h(g) = 3*l(g) - 2*r(g). Factor h(b).
-3*b*(b + 109)
Let r(c) be the third derivative of 4/15*c**3 + 0 + 1/4*c**4 + 14*c**2 - 4*c + 2/25*c**5 - 1/75*c**6. Let r(k) = 0. Calculate k.
-1/2, 4
Let b = -171171 - -171176. Suppose -14/9*q**3 + 0 + 4/3*q**2 + 16/9*q - 2/9*q**b - 4/3*q**4 = 0. Calculate q.
-4, -2, -1, 0, 1
Let n(o) be the second derivative of -22/15*o**6 - 10*o + 0 - 42/5*o**5 - 8*o**3 - 47/3*o**4 + 8*o**2. Let n(d) = 0. Calculate d.
-2, -1, 2/11
Let i(h) = 10*h**4 + 2*h**3 - 8*h**2 - 20*h + 4. Let q(f) = -28*f**4 - 5*f**3 + 27*f**2 + 59*f - 11. Let y(x) = -11*i(x) - 4*q(x). Let y(r) = 0. What is r?
-2, -1, 0, 4
Let f(c) = 32*c**2 + 1824*c + 1900. Let i(p) = -9*p**2 - 521*p - 542. Let z(h) = -5*f(h) - 18*i(h). Factor z(b).
2*(b + 1)*(b + 128)
Let t = -651 - -703. Suppose -20*j = -7*j - t. Solve 0*o + 8/9*o**3 + 0 - 8/9*o**2 - 2/9*o**j = 0 for o.
0, 2
Let h(r) be the third derivative of -1372/15*r**6 + 0 + 27*r**2 - 63*r**4 - 588/5*r**5 - 18*r**3 + 0*r. Factor h(f).
-4*(14*f + 3)**3
Let z(v) be the third derivative of v**7/210 - v**6/40 - 3*v**5/40 - 143*v**3/6 - 304*v**2. Let l(y) be the first derivative of z(y). Let l(w) = 0. What is w?
-3/4, 0, 3
Let o(g) be the first derivative of -8*g**6/3 + 56*g**5/5 - 73*g**4/4 + 43*g**3/3 - 11*g**2/2 + g + 463. Solve o(h) = 0 for h.
1/4, 1
Factor 0 + 1/2*c**3 - 96*c + 13*c**2.
c*(c - 6)*(c + 32)/2
Suppose 8 = 92*f - 284 - 232 + 248. Solve 0*p**4 - 1/4 + 3/8*p + 1/4*p**2 - 1/2*p**f + 1/8*p**5 = 0.
-2, -1, 1
Find w such that -4096*w + 592*w + 445791*w**2 - 445787*w**2 = 0.
0, 876
Let l = -3/395083 - -2370513/1975415. Factor 2/5*z**2 - 4 - l*z.
2*(z - 5)*(z + 2)/5
Let s(i) be the first derivative of -5*i**6/18 + 4*i**5 - 55*i**4/4 + 10*i**3/9 + 40*i**2 + 1132. Let s(y) = 0. What is y?
-1, 0, 2, 3, 8
Determine i so that -208/3*i**2 - 32*i**3 - 1/3*i**5 - 128/3*i - 17/3*i**4 + 0 = 0.
-8, -4, -1, 0
Let g(h) be the first derivative of -81*h**4/8 - 132*h**3 + 179*h**2/4 - 5*h - 7335. Determine y so that g(y) = 0.
-10, 1/9
Let a = 408 + 149. Let w = 559 - a. Find v, given that -4*v**3 + 17/10*v**w + 0 - 1/5*v + 8/5*v**4 = 0.
0, 1/4, 2
Let x = 9/74458 + 2606003/223374. What is c in 10*c**3 + x*c**4 - 20/3*c**5 - 35/3*c**2 - 10/3*c + 0 = 0?
-1, -1/4, 0, 1, 2
What is v in 48*v + 48 + 4*v**2 - 9*v + 31 - 175*v + 177 = 0?
2, 32
Let s(c) be the second derivative of 392*c**4 + 532*c**3 + 1083*c**2/4 + 23*c + 38. Suppose s(k) = 0. Calculate k.
-19/56
Let w be (-150)/(-16) - ((-54)/(-1))/6. Find u such that -w*u**2 + 3/4*u + 0 = 0.
0, 2
Find z, given that -19/3*z**4 + 315*z - 225 + 142/3*z**3 + 1/3*z**5 - 174*z**2 = 0.
3, 5
Let a(d) be the first derivative of 0*d + 8/3*d**5 - 2/9*d**6 - 42 - 29/3*d**4 + 128/9*d**3 - 8*d**2. Determine u, given that a(u) = 0.
0, 1, 2, 6
Let j = 9375144/11 - 852272. Factor 80/11*i + 2/11*i**2 + j.
2*(i + 2)*(i + 38)/11
Let o(t) be the first derivative of -t**6/1140 - t**5/95 + t**4/228 + 2*t**3/19 + t**2 + 16*t - 55. Let i(h) be the second derivative of o(h). Factor i(b).
-2*(b - 1)*(b + 1)*(b + 6)/19
Let g(a) = -11*a**3 + 76*a**2 + 81*a. Let m(p) = 142*p**2 + 137*p - 45*p**3 + 26*p + 163*p**2 + 36*p + 126*p. Let d(k) = 25*g(k) - 6*m(k). Factor d(t).
-5*t*(t - 15)*(t + 1)
Let p = 32458/3 - 11057. Let n = p + 5279/21. Factor -6144/7*y + 12288/7 + 1152/7*y**2 + 3/7*y**4 - n*y**3.
3*(y - 8)**4/7
Factor 687 + 4*f**3 - 346 - 341 - 244*f**2 + 472*f.
4*f*(f - 59)*(f - 2)
Let b(t) be the second derivative of 17*t**7/252 - t**6/30 - 17*t**5/40 - 2*t**4/9 + t**3/3 - 908*t. Find s such that b(s) = 0.
-1, 0, 6/17, 2
Let u be (-6701)/(-429) + 82/1066. Let o = 106/11 + u. Solve 4*h**2 - 56/3 + o*h = 0.
-7, 2/3
Factor 372/11 + 190/11*g + 2/11*g**2.
2*(g + 2)*(g + 93)/11
Find a, given that -108576*a**2 + 3296*a**4 - 47973*a - 42724*a**3 - 4*a**5 - 12960*a**3 - 5851*a - 4232*a**4 = 0.
-116, -1, 0
Determine y, given that -34445*y - 11*y**4 - 7803*y**3 + 6968*y**3 + 2*y**4 + 4*y**4 - 35275*y**2 = 0.
-83, -1, 0
Let s(v) be the third derivative of v**7/315 - 28*v**6/45 + 736*v**5/15 - 17920*v**4/9 + 409600*v**3/9 + 2*v**2 + 4000. Find g such that s(g) = 0.
16, 40
Let l(s) be the third derivative of s**5/12 + 295*s**4/24 - 229*s**2 + 1. Find c such that l(c) = 0.
-59, 0
Suppose -3*a - s + 22 = 0, -a + 8*s = 10*s - 14. Suppose -i + 4*i + 2*p + a = 0, i - 12 = 4*p. Factor 1 - 13*h + i*h**4 + 2*h**3 + 4*h + 7*h - h**4.
-(h - 1)**3*(h + 1)
Let b be ((-121)/11)/(-33)*72/96. Find c, given that 2*c - b*c**3 - 5/4*c**2 + 12 = 0.
-4, 3
Solve -6*b + 4 + 20/9*b**2 - 2/9*b**3 = 0 for b.
1, 3, 6
Suppose -188*l + 6 = -185*l, -4*l + 37 - 9 = 4*j. Find d, given that 21*d**3 - 6*d + 0 + 99/8*d**4 + 15/8*d**j + 9/2*d**2 = 0.
-4, -2, -1, 0, 2/5
Let g = 320 - 225. Suppose 12*t**2 + 95 + 4*t**3 - g = 0. Calculate t.
-3, 0
Let h = 10596 + -317879/30. Let f(l) be the second derivative of 0 + 0*l**2 + 11*l + h*l**4 - 1/15*l**3. Suppose f(w) = 0. What is w?
0, 1
Let s(z) be the third derivative of -z**7/105 - 217*z**6/30 - 23326*z**5/15 + 23762*z**4/3 - 6*z**2 + 2*z - 7. Factor s(p).
-2*p*(p - 2)*(p + 218)**2
Let r(p) = 11*p + 183. Let f be r(-15). Suppose -3*a + f = 2*a + 2*m, -5*a + 21 = -m. Factor 4/5*z + 4/5*z**a + 0 - 4/5*z**2 - 4/5*z**3.
4*z*(z - 1)**2*(z + 1)/5
Let p = 1319798 - 9238535/7. What is t in p*t + 3/7*t**2 + 18 = 0?
-14, -3
Let b(f) = 26*f**2 - 38*f + 22. Let x(j) = -25*j + 373*j**3 + 23 + 12*j**2 - 372*j**3 + 15*j**2 - 11*j. Let i(q) = -3*b(q) + 2*x(q). Factor i(m).
2*(m - 10)*(m - 1)**2
Determine n, given that -2 - 5/3*n + 1/3*n**2 = 0.
-1, 6
Let f be (-1 - 308/(-300))*(144 + -109). Let x(y) = y**2 - 4*y + 3. Let v be x(4). Factor -f*a**2 - 4/15*a - 2/15*a**5 - 2/3*a**4 - 6/5*a**v + 0.
-2*a*(a + 1)**3*(a + 2)/15
Let w(i) = -201*i**2 + 348*i - 40. Let z(h) = 1617*h**2 - 2784*h + 321. Let j(g) = 33*w(g) + 4*z(g). Factor j(o).
-3*(o - 2)*(55*o - 6)
Factor 