e of -m**6/255 + 9*m**5/85 - 37*m**4/102 - 132*m**3/17 - 484*m**2/17 + 365*m. Factor g(j).
-2*(j - 11)**2*(j + 2)**2/17
Let x(l) = -48*l**2 - 402*l + 1638. Let r(t) = -7*t**2 - 57*t + 234. Let k(m) = 27*r(m) - 4*x(m). Factor k(q).
3*(q - 3)*(q + 26)
Let r = -976877/63 + 108741/7. Determine n, given that 8192/9 + 2/9*n**2 - r*n = 0.
64
Let b(l) = -61*l**3 + 70*l**2 - 825*l - 1896. Let h(j) = 405*j**3 - 490*j**2 + 5775*j + 13270. Let i(m) = 20*b(m) + 3*h(m). What is s in i(s) = 0?
-21, -2, 9
Suppose 0*i = i + b, b = 3*i. Suppose i = 30*o + 17*o. Find p such that 0 - 2/5*p**3 + o*p - 2/5*p**2 = 0.
-1, 0
Let t(r) be the first derivative of 45*r**2 - 5/3*r**3 + 74 + 95*r. Factor t(l).
-5*(l - 19)*(l + 1)
Let w(o) be the second derivative of o**4/66 + 8*o**3/11 + 23*o**2/11 + 26*o - 24. Factor w(s).
2*(s + 1)*(s + 23)/11
Let f(t) be the first derivative of t**3/15 + 12*t**2 - 496*t/5 - 7396. Solve f(o) = 0 for o.
-124, 4
Let h be 60024/615 - (-3 - (16/232 - (-1509)/(-435))). Find l such that 162/5*l**2 + 0 + h*l + 2/15*l**4 + 18/5*l**3 = 0.
-9, 0
Factor -1/3*o**3 - 86*o**2 + 141512/3 - 5187*o.
-(o - 8)*(o + 133)**2/3
Let z = -378 - -3049/8. Let r(y) be the first derivative of -y**2 + 0*y + z*y**4 + 21 + 0*y**3. Factor r(u).
u*(5*u - 2)*(5*u + 2)/2
Let c(g) = 27*g. Let l(v) = 3*v**3 + 399*v**2 + 312*v - 1596. Let n(u) = 12*c(u) - l(u). Let n(r) = 0. What is r?
-133, -2, 2
Let b = 3554 - 3547. Let g(m) be the third derivative of 0*m**3 + 0*m**4 + 0*m + 0*m**5 - 2/105*m**b + 1/15*m**6 + 8*m**2 + 0. Solve g(c) = 0 for c.
0, 2
Let y(j) = 15*j**4 + 153*j**3 + 24*j**2 + 48*j + 12. Let s(n) = -n**4 + n**3 - 2*n**2 - 4*n - 1. Let p(o) = -12*s(o) - y(o). Suppose p(g) = 0. What is g?
-55, 0
Let r(s) be the third derivative of s**8/252 + 8*s**7/7 + 4226*s**6/45 + 704*s**5 + 15488*s**4/9 - s**2 - 479. Factor r(v).
4*v*(v + 2)**2*(v + 88)**2/3
Factor -3540*t + 5/3*t**2 + 1879740.
5*(t - 1062)**2/3
Suppose 3954*j - 8480 + 572 = 0. Factor 36/5 + 69/5*u + 6*u**j - 3/5*u**3.
-3*(u - 12)*(u + 1)**2/5
Suppose 23*u + 39 = 85. Let x(m) be the first derivative of 2/9*m**3 + 4/3*m + m**2 + u. Factor x(i).
2*(i + 1)*(i + 2)/3
Let a(b) be the third derivative of -3*b**6/40 - 4*b**5/15 + b**2 - 6209*b. What is d in a(d) = 0?
-16/9, 0
Let z(a) be the first derivative of a**4/78 + 8*a**3/39 + 15*a**2/13 + 17*a + 14. Let w(v) be the first derivative of z(v). Find i, given that w(i) = 0.
-5, -3
Let b(o) be the first derivative of o**4/10 - 20*o**3 + 1500*o**2 - 50000*o + 130. Factor b(p).
2*(p - 50)**3/5
Let q = 44405081/626782 + 1/48214. Let y = 71 - q. Factor 0*r + y*r**3 + 2/13*r**2 + 0.
2*r**2*(r + 1)/13
Factor 8/5*k**2 + 12/5*k**3 + 2/5*k + 0 + 8/5*k**4 + 2/5*k**5.
2*k*(k + 1)**4/5
Let s(y) be the third derivative of 0*y**3 + 0*y**4 + 0*y + 1/60*y**5 - 3*y**2 + 1/120*y**6 + 0. Suppose s(w) = 0. Calculate w.
-1, 0
Let k(c) = 4*c**3 - 11*c**2 - c + 14. Let i(o) = 4*o**3 + 5 + 13*o**2 - 25*o**2 + 11 + 0*o**3. Let j(s) = 3*i(s) - 4*k(s). Solve j(a) = 0 for a.
-1, 1, 2
Let k(q) be the third derivative of q**8/2520 - q**7/225 - q**6/30 - 2*q**5/225 + 2*q**4/9 + 1136*q**2. What is w in k(w) = 0?
-2, 0, 1, 10
Let n(z) = -7*z**2 - 236*z - 13924. Let l(t) = -10*t**2 - 236*t - 13924. Let v(y) = -2*l(y) + 3*n(y). Solve v(b) = 0.
-118
Let u(m) be the second derivative of -m**6/6 + 5*m**5/4 + 65*m**4/12 + 35*m**3/6 - 109*m. Factor u(n).
-5*n*(n - 7)*(n + 1)**2
Let m(a) be the first derivative of 12*a**4 - 216*a**3 + 2475*a**2/2 - 1875*a + 1531. Solve m(c) = 0 for c.
1, 25/4
Let j(f) be the second derivative of -8/7*f**3 - 1 - 96/7*f**2 - 1/28*f**4 + 7*f. Factor j(y).
-3*(y + 8)**2/7
Let v(n) = -n**3 + 11*n**2 - 9*n - 13. Let l be v(6). Suppose 5*b + 13 = l. Factor 7*y - 65 + 8*y + b + 5*y**3 + 25*y**2.
5*(y - 1)*(y + 3)**2
Solve 0 - 40/7*l**4 + 80/7*l - 12/7*l**3 + 4/7*l**5 + 16*l**2 = 0.
-1, 0, 2, 10
Let z = -19220 - -57674/3. Let x(k) be the second derivative of z*k**4 + 6/5*k**5 - 2/15*k**6 + 0 + 6*k**2 + 22/3*k**3 - 9*k - 2/21*k**7. Solve x(g) = 0.
-1, 3
Let b(w) = 69503*w + 486524. Let o be b(-7). Determine x so that -2/7*x**o + 0 + 24/7*x - 8/7*x**2 = 0.
-6, 0, 2
Suppose 2/7*r**2 + 90/7*r - 1800/7 = 0. Calculate r.
-60, 15
Suppose -6*y + 45 = -159. Let z = y - 28. Factor -o + z*o**2 - 5 - 11*o**2 + 11*o.
-5*(o - 1)**2
Let c(i) = i**3 - 3*i**2 - 6*i - 20. Suppose -5*q + 4*o + 15 + 2 = 0, 8 = 4*o. Let n be c(q). Factor 1/5*z + 1/5*z**3 + n + 2/5*z**2.
z*(z + 1)**2/5
Let o = 10 + -8. Factor 27*p**o - 60 + 14*p - 23*p**2 - 6*p.
4*(p - 3)*(p + 5)
Let z = -21493 - -21493. Find b, given that z + 9/4*b**3 - 5/4*b**2 + 1/4*b + 1/2*b**5 - 7/4*b**4 = 0.
0, 1/2, 1
Let p(n) be the first derivative of n**6/5 + 29*n**5/10 - 5*n**4/3 + 45*n - 17. Let o(c) be the first derivative of p(c). Factor o(l).
2*l**2*(l + 10)*(3*l - 1)
Let d(a) be the third derivative of -17*a**7/455 + 127*a**6/195 - 1153*a**5/390 + 167*a**4/39 + 28*a**3/39 + 7515*a**2. Solve d(w) = 0 for w.
-2/51, 1, 2, 7
Suppose 2667/4*k**2 - 675/4*k**3 + 3/4*k**4 + 663/2 - 3321/4*k = 0. What is k?
1, 2, 221
Factor 122/3*v - 7*v**2 - 56 + 1/3*v**3.
(v - 12)*(v - 7)*(v - 2)/3
Let k(n) be the third derivative of 3*n**2 + 4/945*n**7 + 0*n**3 + 0*n**6 - 1/90*n**5 - 1/108*n**4 + 2 + 0*n. Solve k(l) = 0.
-1/2, 0, 1
Let p(h) = -859*h - 111668. Let d be p(-130). Factor -552/5*l + 18/5 + 4232/5*l**d.
2*(46*l - 3)**2/5
Suppose o + 3 = -a, 2*o - 20 = -2*o + 4*a. Suppose -76 + o = -25*j. What is d in 15/4*d + 3/4*d**j + 13/2*d**2 - 2 = 0?
-8, -1, 1/3
Let n(j) = 10*j**2 - 70*j + 1620. Let i(o) = -11*o**2 + 48*o - 1620. Let h(r) = -5*i(r) - 6*n(r). Factor h(y).
-5*(y - 18)**2
Let x = 464 - 465. Let k be (((-15)/2)/(-15))/(x/(-4)). Determine d, given that 4/5*d**4 - 16/5*d + 4/5 - 16/5*d**3 + 24/5*d**k = 0.
1
Let z(n) be the second derivative of 0*n**3 - 1/14*n**7 + 0*n**4 - 3/10*n**6 - 10*n + 0*n**2 - 3/10*n**5 + 1. Factor z(s).
-3*s**3*(s + 1)*(s + 2)
Suppose 13*a - 577 = -538. Let m(l) be the third derivative of 7/60*l**6 + 0*l**4 + 0*l**3 + 0 + 1/21*l**7 + 1/168*l**8 + 1/10*l**5 + 0*l - a*l**2. Factor m(u).
2*u**2*(u + 1)**2*(u + 3)
Suppose -47*v + 112 = -35*v + 20*v + 24*v. Factor 12/5 - v*j**2 - 26/5*j.
-2*(j + 3)*(5*j - 2)/5
Let i(h) = h**3 - 125*h**2 + 274*h + 366. Let n(g) = -6*g**3 + 765*g**2 - 1645*g - 2195. Let k(w) = 39*i(w) + 6*n(w). Factor k(q).
3*(q - 92)*(q - 4)*(q + 1)
Let p be (-10)/6 - (-6)/3. Let j = -3/206 + 233/1854. Solve 4/9*h + j*h**2 + p = 0.
-3, -1
Determine c so that -1454/11*c**2 - 728/11*c + 2/11*c**4 + 0 - 724/11*c**3 = 0.
-1, 0, 364
Let t(z) be the first derivative of -z**7/2940 - z**6/1260 + z**5/84 - z**4/28 + z**3/3 + 32*z - 161. Let m(l) be the third derivative of t(l). Factor m(d).
-2*(d - 1)**2*(d + 3)/7
Factor -244 + 7/3*i**2 - 2560/3*i.
(i - 366)*(7*i + 2)/3
Let z(i) be the second derivative of -10/9*i**3 + 13*i**2 + 0 + 12*i - 1/18*i**4. Factor z(m).
-2*(m - 3)*(m + 13)/3
Let k(u) be the first derivative of u**4/4 - 127*u**3/3 - 257*u**2/2 - 129*u - 4184. Factor k(c).
(c - 129)*(c + 1)**2
Let h(n) be the second derivative of -n**7/1260 + 13*n**6/360 - n**5/2 - 7*n**4/6 - n**2 + 12*n + 2. Let c(x) be the third derivative of h(x). Solve c(q) = 0.
3, 10
Let m = -55/3 + 277/15. Let d(a) be the third derivative of 1/150*a**5 - m*a**3 + 0 + 1/60*a**4 + 0*a + 11*a**2. Factor d(w).
2*(w - 1)*(w + 2)/5
Let c(o) be the second derivative of o**5/5 + 8*o**4 - 114*o**3 + 540*o**2 + 670*o. What is r in c(r) = 0?
-30, 3
Let d(m) be the third derivative of m**7/7560 - m**6/360 - 7*m**5/360 - 265*m**4/24 + 13*m**2 - 5. Let p(w) be the second derivative of d(w). Solve p(j) = 0.
-1, 7
Let v(m) be the third derivative of -13/15*m**5 - m**4 - 8*m**2 + 0*m**3 - 2/105*m**7 - 4/15*m**6 + 0*m - 12. Solve v(u) = 0.
-6, -1, 0
Let b(f) be the first derivative of -1/3*f**3 + 0*f + 1/240*f**6 + 3/16*f**4 + f**2 - 1/20*f**5 + 19. Let w(i) be the second derivative of b(i). Factor w(s).
(s - 4)*(s - 1)**2/2
Let y = -291433/87108 - -3/7259. Let m = -13/4 - y. Factor -4/21 + 4/21*a**2 - 2/21*a**3 + m*a.
-2*(a - 2)*(a - 1)*(a + 1)/21
Let z be 4/5*(126/(-4) - -4). Let i = -18 - z. What is y in -y**3 - 4*y + 6*y**2 + 2*y**i + 5*y**3 - 8*y**2 = 0?
-2, -1, 0, 1
Let i(t) = 900*t**3 + 13652*t**2 + 2702*t + 142. Let m(q) = -1200*q**3 - 18204*q**2 - 3