ne h, given that -l*h**3 + 204*h + 465/2*h**2 + 42 = 0.
-2/5, 7
Let w(i) be the third derivative of i**8/2100 - i**7/1050 - i**6/225 + 25*i**3/2 + i**2 + 6*i. Let h(y) be the first derivative of w(y). What is a in h(a) = 0?
-1, 0, 2
Let f be (((-1060)/(-75) + -14)*-4)/(34/(-10) - -3). Factor 0 - 28/9*r**2 - 4/9*r**4 + 20/9*r**3 + f*r.
-4*r*(r - 3)*(r - 1)**2/9
Let y be (-1 - 113)/((-11)/(44/(-6))). Let v = y - -78. Factor 12*d**v + 5*d**2 + 10*d**2 - 61 - 45*d - 14 - 3*d**3.
-3*(d - 5)**2*(d + 1)
Suppose m + 23*m + 380 = 500. Let t(i) be the second derivative of -25*i + 1/25*i**m + 0 - 1/5*i**2 + 11/30*i**3 - 13/60*i**4. Factor t(o).
(o - 2)*(o - 1)*(4*o - 1)/5
Let -515*q - 5*q**4 - 210 - 165*q**2 - 18*q**2 + 100*q + 109*q**2 - 191*q**2 - 65*q**3 = 0. Calculate q.
-7, -3, -2, -1
Factor 0 + 28750/7*q**3 + 470/7*q**4 + 132250/7*q**2 + 0*q + 2/7*q**5.
2*q**2*(q + 5)*(q + 115)**2/7
Let f(d) = d**3 - 9*d**2 - d + 10. Let p be f(10). Factor 2*n**2 + 4 + 30*n + 58*n**3 - p*n**4 + 64*n**2 + 118*n**4.
2*(n + 1)**3*(9*n + 2)
Let s = -90 + 24. Let b = s - -68. Determine q so that -32 + 28*q**4 - q - 29*q - 132*q**3 + 184*q**2 - b*q - 16*q = 0.
-2/7, 1, 2
Let d be -8 - -1 - (-935)/121 - 0. Factor -94/11*n + 24/11 - d*n**2.
-2*(n + 12)*(4*n - 1)/11
Let f = -450 + 327. Let o = 247/2 + f. Solve 1/4*h**4 - h**2 - 1/2*h + 3/4 + o*h**3 = 0.
-3, -1, 1
Let b(i) be the first derivative of -2*i**3 - 3*i**2 - 3/8*i**4 + 21 + 0*i. Factor b(h).
-3*h*(h + 2)**2/2
Let z(j) be the first derivative of j**7/168 - j**6/6 - 4*j**3/3 + 17*j**2/2 - 69. Let k(d) be the third derivative of z(d). Solve k(q) = 0.
0, 12
Let i(v) be the second derivative of -v**4/96 + 241*v**3/16 - 721*v**2/8 - 1938*v. Factor i(r).
-(r - 721)*(r - 2)/8
Let y be (92/(-460))/(2/(-4)). Let f(s) be the first derivative of 1/15*s**3 + 26 + 0*s - y*s**2. Determine u so that f(u) = 0.
0, 4
Let c be ((-2171)/182 + 12)*(-5606)/(-1). Let i = -399 + c. Factor i*h + 0 - 2/7*h**2.
-2*h*(h - 5)/7
Let a = 20 - 10. Suppose 0*f + a = 5*f. Factor -1 + 1 - 63*u**2 + 62*u**f.
-u**2
Let q be -2*((-62)/36 - (-50)/225). Factor -9 - q + 3*u**2 + 15*u + 29 - 5.
3*(u + 1)*(u + 4)
Let u(t) be the first derivative of -t**3/9 - 91*t**2/6 - 178*t/3 + 618. Solve u(d) = 0 for d.
-89, -2
Let t(u) be the first derivative of -1/18*u**6 + 7/12*u**4 - 1/9*u**3 + 0*u - 64 - u**2 + 1/15*u**5. Suppose t(i) = 0. Calculate i.
-2, -1, 0, 1, 3
Let s be 8 + (-130)/15 - (-32)/3. Let l be ((-168)/s)/((-2)/(80/12)). Find g, given that -2*g**4 - 60*g**3 + 135*g**3 - 59*g**3 + l*g - 46*g**2 - 24 = 0.
1, 2, 3
Let c be (2032/(-1905))/(20/(-125)). Let 34/9*w**4 + 0*w + 0*w**2 + c*w**3 + 2/9*w**5 + 0 = 0. Calculate w.
-15, -2, 0
Let h be -28*(-5)/(-15)*-3. Let -h*z - 165*z**2 + 30 + 79*z**2 + 84*z**2 = 0. What is z?
-15, 1
Let r = 32210/9 - 10736/3. Factor -16/3 + r*d**2 + 4/9*d.
2*(d - 4)*(d + 6)/9
Suppose -1956*g**2 + 152*g + 18*g - 582*g**4 - 1953*g**3 - 21*g**5 - 446*g + 288 = 0. Calculate g.
-24, -2, -1, 2/7
Suppose 14/9*b**5 - 230*b**3 + 2188/9*b**2 + 332/9*b**4 - 464/9*b + 0 = 0. Calculate b.
-29, 0, 2/7, 1, 4
What is k in -10/11*k**4 - 38/11*k**3 + 24/11 + 38/11*k - 14/11*k**2 = 0?
-3, -1, -4/5, 1
Let p(v) = 35*v**3 + 575*v**2 + 3040*v + 1130. Let b(t) = -t**3 + t**2 - t - 1. Let x(c) = -10*b(c) - p(c). Factor x(j).
-5*(j + 7)*(j + 16)*(5*j + 2)
Let r(o) be the third derivative of -4/105*o**7 - 1/10*o**6 + 1/84*o**8 + 1 - 8*o**2 + 0*o**3 + 0*o + 0*o**5 + 0*o**4. Factor r(j).
4*j**3*(j - 3)*(j + 1)
Let n be 3960/(-840) + 28/4 + -2. Factor 2016 + n*z**2 + 48*z.
2*(z + 84)**2/7
Let r = -206651 - -1446565/7. Factor r*k**2 - 24/7*k + 0 + 2/7*k**3.
2*k*(k - 2)*(k + 6)/7
Let g(y) be the second derivative of -y**6/45 - 7*y**5/10 - 34*y**4/9 - 411*y + 2. Suppose g(v) = 0. What is v?
-17, -4, 0
Let m(v) be the third derivative of v**7/42 + 73*v**6/120 + 2*v**5/3 - 7*v**4/6 + 10*v**2 - 8. Suppose m(k) = 0. Calculate k.
-14, -1, 0, 2/5
Let l(a) be the second derivative of a**5/70 + 607*a**4/14 + 39520*a**3 + 118300*a**2 + 254*a. Factor l(u).
2*(u + 1)*(u + 910)**2/7
Factor -25*a**5 + 11651*a**2 + 187*a**4 + 1058*a**4 - 18144*a**3 + 51069*a**2.
-a**2*(a - 5)*(5*a - 112)**2
Suppose -4*f + 4898 = 2*m, -4*m + 2884 = 5*f - 3231. Let r be f/6 - (24 - 26). Factor -124*u - 18 + 49/2*u**3 - r*u**2.
(u - 9)*(7*u + 2)**2/2
Let q = -145269 + 145273. What is d in -2/3*d + 0 - 2/9*d**3 - 2/9*d**q + 10/9*d**2 = 0?
-3, 0, 1
Let i = -1 - -3. Let t(b) = b**3 + 28*b**2 + 21*b - 160. Let u be t(-27). Determine r, given that u*r**2 + 4*r + 3*r**2 + 12 - 14*r - 7*r**i = 0.
-6, 1
Factor 1831*z - 5*z**3 - 470*z**2 - 566*z - 319 - 316 - 155*z**2.
-5*(z - 1)**2*(z + 127)
Suppose 23*f - 28*f**2 + 39*f + 4*f**4 + 1631 - 86*f - 1631 = 0. What is f?
-2, -1, 0, 3
Let t = 8041 - 289475/36. Let z(l) be the second derivative of 0*l**3 - 21*l + 0 - t*l**4 + 2/3*l**2. Factor z(q).
-(q - 2)*(q + 2)/3
Let g = 5215 + -5212. Let d(k) be the first derivative of 2/3*k**g + 0*k + 1 + k**2. What is v in d(v) = 0?
-1, 0
Suppose 5*k - 9 = -6*o, 3*o - 19 = -3*k - 13. Let q(m) be the second derivative of 0 + 1/4*m**4 - 16*m + 15/2*m**2 - k*m**3. Find g, given that q(g) = 0.
1, 5
Let o be 4/(35/(-14) + 3). Let v be -10 + o - (-76)/18. Find p such that -4/9*p**3 - 4/9*p**2 + v*p - 4/3 = 0.
-3, 1
Suppose -10*m - 6300 = 5*c - 9*m, 5*c - 2*m = -6285. Let h = 1259 + c. Factor h + 1/7*u**3 + 9/7*u**2 + 0*u.
u**2*(u + 9)/7
Suppose d + 9*x = 12*x + 3, 15 = 5*d + 5*x. Let 0 + 2/9*u**2 - 4/9*u - 2/9*u**5 + 2/3*u**d - 2/9*u**4 = 0. Calculate u.
-2, -1, 0, 1
Let g(l) be the third derivative of 0*l**3 + 13/8*l**4 - 2*l**2 + 1/20*l**5 + 0 - 18*l. Factor g(w).
3*w*(w + 13)
Let c = 8 + -6. Let v(n) = -771*n + 57054. Let k be v(74). Let 4/7*t**3 + 32/7*t**c + k + 64/7*t = 0. Calculate t.
-4, 0
Let n(j) be the third derivative of 0*j - 1/48*j**4 - 125*j**2 - 1/24*j**5 + 1/240*j**6 + 5/12*j**3 + 0. Factor n(k).
(k - 5)*(k - 1)*(k + 1)/2
Let c(w) be the first derivative of -w**6/105 - w**5/10 + w**4/42 + w**3/3 - 91*w - 65. Let y(b) be the first derivative of c(b). Find z, given that y(z) = 0.
-7, -1, 0, 1
Let 20/11*a + 238/11 - 2/11*a**2 = 0. Calculate a.
-7, 17
Let n(c) be the second derivative of c**6 - 5/6*c**4 - 35*c + 0 - 5/4*c**5 + 15/14*c**7 + 0*c**3 + 0*c**2. Suppose n(r) = 0. What is r?
-1, -1/3, 0, 2/3
Find z such that -30736*z**5 - 10*z**4 + 3210*z**3 + 23*z**4 + 30 + 4576*z**2 + 13*z**4 - 761*z + 30567*z**5 = 0.
-3, -2, 1/13, 5
Let c(t) = 8*t + 10. Let u be c(-1). Find h such that 3*h**2 + h**2 - 13 - 54*h - 29 - 2*h**u - 14 = 0.
-1, 28
Let m(j) = -24*j**4 - 62*j**3 - 18*j**2 - j - 40. Let p(k) = -2*k**4 - 3*k. Let d(b) = 2*m(b) - 58*p(b). Factor d(r).
4*(r - 1)**3*(17*r + 20)
Let n(v) be the second derivative of v**6/90 + 7*v**5/30 + 2*v**4 - 31*v**3/3 + 12*v. Let r(b) be the second derivative of n(b). Factor r(f).
4*(f + 3)*(f + 4)
Let o = 73/108 - -2/27. Let f be ((-3)/5)/(3/(120/(-64))). Solve -o*l + f*l**2 + 0 = 0 for l.
0, 2
Let o be (6/(-10))/((-17)/(-85)). Let k be o*4/1*3/(-21). Determine l so that -4/7 - 12/7*l**2 - 4/7*l**3 - k*l = 0.
-1
Let k = -358 + 361. Find s such that 38*s**4 - 39*s**2 - 3*s**5 + 45*s**4 + 21*s**k - 80*s**4 + 18*s = 0.
-3, 0, 1, 2
Suppose -3*c + n = -1775, -23*n + 25*n = -4*c + 2380. Let g = -590 + c. Factor -5/3*o - 1/3*o**4 + 3*o**2 - o**g + 0.
-o*(o - 1)**2*(o + 5)/3
Factor 206/7*u + 0 + 106/7*u**3 - 311/7*u**2 - 1/7*u**4.
-u*(u - 103)*(u - 2)*(u - 1)/7
Let x(m) be the first derivative of m**5/120 + 17*m**4/8 + 867*m**3/4 + m**2/2 + 21. Let k(g) be the second derivative of x(g). Factor k(a).
(a + 51)**2/2
Let f be (-54)/(-40)*65/78. What is l in f*l**2 - 15/8*l**3 + 15/8*l - 3/2 + 3/8*l**4 = 0?
-1, 1, 4
Let h be (-83288)/(-361872) - 3/(-14). Factor 4/9*b + 20/9*b**2 - h*b**3 - 20/9.
-4*(b - 5)*(b - 1)*(b + 1)/9
Let x be 4/54*318/12720. Let c(h) be the third derivative of -1/54*h**4 - 1/18*h**3 + 0*h - x*h**5 + 21*h**2 + 0. Determine w, given that c(w) = 0.
-3, -1
Let -122/7*j**3 + 256/7 - 2/7*j**5 + 520/7*j - 68/7*j**4 + 208/7*j**2 = 0. What is j?
-32, -2, -1, 2
Let y(l) be the second derivative of -3*l**5/100 + 217*l**4/20 - 108*l**3/5 + 12867*l. Let y(m) = 0. Calculate m.
0, 1, 216
Let d(g) be the third derivative of -g**9/66528 - g**8/9240 - g**7/6930 - 49*g**5/60 - 