 1/160*q**b. Factor r(p).
3*(p - 3)*(p + 1)/8
Let d(p) be the third derivative of -5*p**8/336 - 17*p**7/14 - 767*p**6/24 - 3017*p**5/12 - 920*p**4 - 5290*p**3/3 - 7*p**2 + p. Determine j so that d(j) = 0.
-23, -2, -1
Let r(q) be the first derivative of -1/2*q**2 + 0*q - 1/3*q**3 - 38. Factor r(z).
-z*(z + 1)
Find n, given that 6214/3*n**2 - 4*n**3 + 6232*n - 4854728/3 - 2/3*n**4 = 0.
-41, 38
Let b be (21/(-5))/(((-35)/5)/1260). Solve -35*h**2 + b - 32*h**2 + 3*h**3 - 33*h**2 + 85*h**2 - 144*h = 0.
-7, 6
Let l(j) be the third derivative of j**5/60 - 1727*j**4/24 + 863*j**3/3 + 2*j**2 + 1314. Suppose l(n) = 0. Calculate n.
1, 1726
Find r such that 3*r**4 - 3/8*r**5 + 651/8*r - 237/4*r**2 - 135/4 + 9*r**3 = 0.
-5, 1, 2, 9
Let x(h) be the first derivative of h**6/30 + 11*h**5/25 - 27*h**4/4 + 313*h**3/15 - 19*h**2 - 6222. Solve x(v) = 0.
-19, 0, 1, 2, 5
Let k(w) = -2*w**4 - 8*w**3 + 34*w**2 + 48*w - 120. Let t(i) = -2*i**4 - 8*i**3 + 35*i**2 + 47*i - 120. Let c(f) = 9*k(f) - 8*t(f). Let c(l) = 0. Calculate l.
-5, -3, 2
Factor 15*s - 91/2*s**2 + 93/2*s**3 - 33/2*s**4 + 1/2*s**5 + 0.
s*(s - 30)*(s - 1)**3/2
Let b be 313/9 - 20/(-90). Factor 73*o + 18*o**2 - 48*o**2 - 32 - 10*o**3 - 36*o**2 + b*o.
-2*(o - 1)*(o + 8)*(5*o - 2)
Let c(u) be the third derivative of u**8/98 - 79*u**7/490 + 59*u**6/140 + 4*u**5/35 - 14*u**2 - 89. Solve c(l) = 0 for l.
-1/8, 0, 2, 8
Suppose 0*n - 10/7*n**4 + 0 + 18/7*n**2 + 24/7*n**3 = 0. What is n?
-3/5, 0, 3
Determine m, given that -61*m**5 + 319*m - 32*m**4 - 1151*m + 98*m**2 + 253*m**3 + 62*m**5 + 512 = 0.
-2, 1, 16
Let v(m) be the third derivative of -1/10*m**5 + 1/2*m**4 + 0 + 0*m - 1/40*m**6 + 4*m**3 + 13*m**2. Find o such that v(o) = 0.
-2, 2
Let f = -44081 - -132287/3. Solve -52/3*z + 8/3*z**5 + f*z**3 - 40/3*z**2 + 50/3*z**4 - 10/3 = 0 for z.
-5, -1, -1/4, 1
Let g = -2833 - -1847. Let n = -984 - g. Factor -3/7*f - 3/7*f**n + 0.
-3*f*(f + 1)/7
Let g be ((-2)/6)/((-3)/(-117))*-2. Suppose q - g = -5. Let q*d**2 - 15 + 6*d**3 - d**3 - 11*d**2 + 5*d**2 - 5*d = 0. What is d?
-3, -1, 1
Let b = 12010/3 - 24017/6. Suppose -b*n**3 + 3/2*n - 2*n**2 + 9 = 0. Calculate n.
-3, 2
Solve 0 + 257/4*j**2 - 1/4*j**3 - 381/2*j = 0 for j.
0, 3, 254
Let w = -5234 + 5238. Let b(r) be the third derivative of 0*r**w - 18*r**2 + 0*r**5 - 1/490*r**7 + 0*r - 1/420*r**6 + 0*r**3 + 0 - 1/2352*r**8. Factor b(a).
-a**3*(a + 1)*(a + 2)/7
Let o(a) = -a**3 + 31*a**2 - 29*a - 25. Let c be o(30). Solve c*w**3 - 9*w**5 + 4*w**5 + 15*w**4 - 15*w**4 = 0.
-1, 0, 1
Let f be (8 - 3) + (2 - -1) + -3. Solve -4*k**4 + 820*k**f - 10*k**3 + 0*k - 16 - 818*k**5 + 8*k + 20*k**2 = 0.
-2, -1, 1, 2
Factor 33/5*n**2 - 3/5*n**3 - 72/5 + 42/5*n.
-3*(n - 12)*(n - 1)*(n + 2)/5
Let b be (-325)/(-105) - 220/2310. Determine p so that 0 - 4/7*p**2 + 3/7*p**b - 4/7*p + 2/7*p**4 - 1/7*p**5 = 0.
-1, 0, 2
Factor -343/4*o**5 + 8631/2*o**3 - 1237*o**2 + 0 - 19943/4*o**4 + 118*o.
-o*(o + 59)*(7*o - 2)**3/4
Let n = 1463488 - 1463486. Factor -92/5*l**3 - 2/5*l**4 - 264/5*l**n - 52*l - 86/5.
-2*(l + 1)**3*(l + 43)/5
Let y = -53 - -87. Factor -39*h**2 - 405 - 58*h + 148*h + y*h**2.
-5*(h - 9)**2
Let v(c) = -16*c**2 - 454*c + 1391. Let n(b) = 25*b**2 + 682*b - 2087. Let o(z) = 5*n(z) + 8*v(z). Solve o(s) = 0 for s.
-77, 3
Let x(p) be the second derivative of 6 - 1/12*p**3 - 11*p - 1/40*p**5 - 3/16*p**4 + 1/42*p**7 + 3/40*p**6 + 0*p**2. Solve x(w) = 0 for w.
-2, -1, -1/4, 0, 1
Let c(l) be the third derivative of 0*l + 3/4*l**5 - l**2 - 35/2*l**4 + 490/3*l**3 + 0. Determine b, given that c(b) = 0.
14/3
Let d(j) be the second derivative of -j**7/189 + j**6/90 + 2*j**5/15 - 13*j**4/108 - 14*j**3/9 - 2*j**2 - j - 202. Let d(p) = 0. Calculate p.
-2, -1/2, 3
Let a be ((-88 - -43)/(-135))/(1/6). Factor -8/5*v**a + 12/5 + 2/5*v + 2/5*v**3.
2*(v - 3)*(v - 2)*(v + 1)/5
Let f(h) be the third derivative of -h**5/75 + 13*h**4/15 + 368*h**3/3 - h**2 + 3565. Find j such that f(j) = 0.
-20, 46
Let o be 46*((-2)/(-3) - (-66)/36). Solve -230*l**3 + 20*l + 119*l**3 - 8 - 16*l**2 + o*l**3 = 0 for l.
1, 2
Factor 75*l**2 - 4521*l**3 + 4524*l**3 - 237*l + 129*l - 2700.
3*(l - 6)*(l + 6)*(l + 25)
Let b(k) be the second derivative of k**6/180 + k**5/6 - 2*k**4 - 35*k**3/3 - k + 23. Let g(m) be the second derivative of b(m). Solve g(h) = 0.
-12, 2
What is g in 901302916*g + 392150*g**3 + 4*g**5 + 1259499141 - 29624000*g**2 + 46253977*g + 489507109 - 2290*g**4 + g**5 - 133888768*g = 0?
-2, 115
Solve 1259*g**3 + 1314*g**2 + 1411*g**2 + 155*g**4 + 121*g**3 + 799*g**2 + 5*g**5 - 1144*g**2 - 3920*g = 0.
-14, -4, 0, 1
Suppose -2*w + 10 = 0, -4*y - 4*w = 3 - 15. Let s be (-1 + 2)/((-1)/(-2)) + y. Factor -2*u + u - 25*u**3 - 6*u**2 + 20*u**3 + s*u.
-u*(u + 1)*(5*u + 1)
Let i = 1814/3635 - 72/727. Suppose 17/5*p + 16/5*p**3 - i - 8*p**2 = 0. Calculate p.
1/4, 2
Let r(h) be the second derivative of -101*h**5/40 + h**4/12 + 101*h**3/3 - 2*h**2 - 98*h - 12. Find w such that r(w) = 0.
-2, 2/101, 2
Let t(w) = w**5 - w**4 - 2*w**3 + 4*w**2 + w + 1. Let b(i) = -9029*i**5 + 27459*i**4 - 1136*i**3 - 4*i**2 - 4*i - 4. Let u(p) = 5*b(p) + 20*t(p). Factor u(f).
-5*f**2*(f - 3)*(95*f - 2)**2
Let f = 744 + -421. Let t = 326 - f. Let 38/9*j - 4/9 - 80/9*j**2 - 50/9*j**t = 0. What is j?
-2, 1/5
Let s(p) be the second derivative of 3*p**5/160 - 3*p**4/16 + 9*p**3/16 - 3*p**2/4 + 3*p + 256. Determine u so that s(u) = 0.
1, 4
Find g, given that -229*g**3 + 4*g**5 - 2*g**5 + 24*g**4 - 15000 - 10500*g + 514*g**3 - 152*g**2 - 5*g**5 - 898*g**2 = 0.
-5, -2, 10
Let k = 737 - 412. Let x be 16/10*k/10. Find m such that 88*m**3 + x*m**2 + 32*m**4 + 44*m**2 + 4*m**5 - 438*m + 474*m = 0.
-3, -1, 0
Let n(a) = -3*a - 3. Let u(v) = -92*v**2 - 2. Let h be u(-1). Let o = 93 + h. Let d(c) = -c**2 - c + 1. Let x(j) = o*n(j) - 3*d(j). Factor x(g).
3*g*(g + 2)
Let t(l) be the first derivative of 2/5*l**5 - 2/3*l**3 + 0*l + 0*l**2 - 1/4*l**4 - 15 + 1/6*l**6. Factor t(n).
n**2*(n - 1)*(n + 1)*(n + 2)
Let b(d) = -1389*d**2 + 26387*d + 96. Let q be b(19). Find l such that 102/5*l - 2/5*l**2 - q = 0.
1, 50
Let u(v) be the second derivative of v - 2/3*v**6 + 53/3*v**3 - 7/5*v**5 + 22*v**2 + 14/3*v**4 + 1/21*v**7 + 25. Factor u(k).
2*(k - 11)*(k - 2)*(k + 1)**3
Solve 1129*b**4 + 29*b**3 - 14*b**3 + 10*b**2 - 54*b**2 - 1130*b**4 = 0 for b.
0, 4, 11
Let p(r) be the first derivative of -19*r**4/32 - 5*r**3/2 - 3*r**2/4 + 25*r - 6. Let h(j) be the first derivative of p(j). Factor h(g).
-3*(g + 2)*(19*g + 2)/8
Let f(o) = o**2 + 10*o + 26. Let y be f(-3). Factor d**2 - 7858*d**3 + 8*d - d**5 - y*d**2 + 5*d**4 + 7852*d**3.
-d*(d - 2)**3*(d + 1)
Let h(q) be the third derivative of 2/21*q**7 + 2/5*q**6 + 33*q**2 - 1/3*q**5 + 1/168*q**8 + 0*q + 0 + 0*q**3 - 25/12*q**4. Solve h(p) = 0 for p.
-5, -1, 0, 1
Let r = 995056/5 - 199010. Suppose 7*k - 10 = 2*k. Factor 3/5*v**k + 9/5*v + r.
3*(v + 1)*(v + 2)/5
Suppose -127*s + 8 + 12 = 20. Factor 2/7*a**5 + s*a**2 + 0 + 2/7*a**4 + 0*a - 4/7*a**3.
2*a**3*(a - 1)*(a + 2)/7
Let p(y) be the first derivative of y**6/24 + 4*y**5/5 + 39*y**4/8 + 37*y**3/3 + 121*y**2/8 + 9*y - 6310. Factor p(g).
(g + 1)**3*(g + 4)*(g + 9)/4
Let y(b) be the first derivative of 2*b**5/15 + 5*b**4/6 - 44*b**3/9 + 16*b**2/3 - 1692. Suppose y(q) = 0. What is q?
-8, 0, 1, 2
Let z be 1 - ((-2737)/147)/(-23). Let k(g) be the first derivative of -1/42*g**4 + 0*g - z*g**2 - 10/63*g**3 + 12. Factor k(f).
-2*f*(f + 1)*(f + 4)/21
Let q be (102*76/399)/((-20)/(-28)). Factor -2312/5 + q*i - 2/5*i**2.
-2*(i - 34)**2/5
Solve 59536 - 419680/3*i - 4/3*i**5 - 64444/3*i**3 + 101508*i**2 + 332*i**4 = 0 for i.
1, 3, 122
Let h = -2/12031 + 12091/360930. Let t(r) be the third derivative of 0 + 5*r**2 - 2/3*r**3 + 1/12*r**4 + h*r**5 + 0*r. Solve t(n) = 0 for n.
-2, 1
Let l(r) be the second derivative of 0 + 2/5*r**2 - 102*r + 1/30*r**4 - 1/5*r**3. Determine f so that l(f) = 0.
1, 2
Solve 143/2*g - 219 + 1/2*g**2 = 0.
-146, 3
Let m be 1/((-2838)/(-5197)) + 6/(-4). Let q = 1/473 + m. Factor -q + 2/3*j**3 - j + j**4 - 2/3*j**2 + 1/3*j**5.
(j - 1)*(j + 1)**4/3
Let p be ((-522)/4988)/((-14)/301). Determine l so that -1/4*l**4 - p - 2*l**3 - 6*l - 11/2*l**2 = 0.
-3, -1
Factor 42/5 + 44/5*l**2 - 17*l - 1/5*l**3.
-(l - 42)*(l - 1)**2/5
Let k(v) be the first derivative of v**4/30 + 8*v**3/