5*q**2.
-2*(q - 106)*(q + 10)/5
Find d, given that -381924/7*d**4 + 765084/7*d**3 + 1238/7*d - 384397/7*d**2 - 1/7 = 0.
1/618, 1
Let u be ((-30)/(-4)*((-5)/60 - 0))/(115/(-138)). What is q in 24*q + 0 + 93/4*q**2 - u*q**3 = 0?
-1, 0, 32
Let k(u) = u**3 + 7*u**2 - 13*u - 22. Let l be k(-8). Suppose -4*w + 10*w = l. Find i, given that 14*i + i - i**w - 12*i + 2 + 0 = 0.
-1, 2
Let y(z) be the second derivative of 2 + 186*z - 5/12*z**4 - 20/3*z**3 + 45/2*z**2. Solve y(s) = 0 for s.
-9, 1
Let i(h) be the first derivative of h**4/7 - 124*h**3/21 - 560. Factor i(a).
4*a**2*(a - 31)/7
Let z(c) be the first derivative of c**4/14 - 146*c**3/21 + 1551*c**2/7 - 2178*c - 522. Factor z(h).
2*(h - 33)**2*(h - 7)/7
Let v(d) be the third derivative of -d**6/280 - 43*d**5/210 - 205*d**4/168 + 13*d**3/7 + 6144*d**2. What is n in v(n) = 0?
-26, -3, 1/3
Find k, given that -445087497 + 269582288 - 5*k**3 - 2523944*k + 1372920514 - 3260671*k + 9315*k**2 = 0.
621
Let p(m) be the third derivative of -m**8/1680 + m**7/1050 + m**6/600 - m**5/300 + 1727*m**2. Solve p(f) = 0.
-1, 0, 1
Let q(v) = 400*v**4 + 320*v**3 - 76*v**2 + 40*v - 12. Let k(r) = 3*r - 1. Let l(u) = -12*k(u) + q(u). Suppose l(o) = 0. Calculate o.
-1, 0, 1/10
Let -4 + 33 - 2*x**2 - 21 = 0. What is x?
-2, 2
Let z(h) = 16*h - 44. Let n be z(3). Let l(c) be the second derivative of 2/5*c**2 + 1/60*c**n + 14*c + 0 + 2/15*c**3. Find b such that l(b) = 0.
-2
Suppose -3*d = -5*y + 198, -3*d + 2*d + 194 = 5*y. Suppose -y*v**3 + 0*v - 18 + 39*v + 22080*v**2 - 7*v**4 - 22055*v**2 = 0. What is v?
-6, -1, 3/7, 1
Let s(j) = -11*j + 111. Let p be s(9). Let h = 16 - p. Let 0*n**2 + 2/9*n**h + 0 + 0*n**3 + 0*n = 0. What is n?
0
Let l(w) = 988*w**2 - 982*w - 10. Let g(x) = 1976*x**2 - 1963*x - 23. Let n(k) = 2*g(k) - 5*l(k). Let n(q) = 0. Calculate q.
-1/247, 1
Let n(i) be the second derivative of 0*i**2 - 1/4*i**3 - 1/8*i**4 - i - 7. Let n(p) = 0. Calculate p.
-1, 0
Let y(f) = -f**2 + 24*f - 78. Let l be y(20). Factor 3 - 57 - 3*x**l + 55*x - 9 + 11*x.
-3*(x - 21)*(x - 1)
Let b(z) be the second derivative of -4*z**3 + 1/10*z**6 + 0*z**2 + 9/20*z**5 + 3 + 19*z - 3/2*z**4. What is f in b(f) = 0?
-4, -1, 0, 2
Let y = 21/16 + -13/16. Let l(o) be the second derivative of 1/12*o**4 + y*o**2 - 1/3*o**3 + 0 - 2*o. Suppose l(k) = 0. Calculate k.
1
Let g(b) be the second derivative of 11/15*b**3 - 1/50*b**5 + 0 + 33*b - 2/15*b**4 - 6/5*b**2. Factor g(r).
-2*(r - 1)**2*(r + 6)/5
Let v(j) be the third derivative of j**7/280 - j**6/20 + j**5/8 + 3*j**4/2 - 13*j**3/6 + 50*j**2. Let b(u) be the first derivative of v(u). Factor b(c).
3*(c - 4)*(c - 3)*(c + 1)
Let v be 8/(-176)*-11 + 9879/(-14). Let l = 708 + v. Let -4/7 - 20/7*c - 40/7*c**3 - 4/7*c**5 - l*c**4 - 40/7*c**2 = 0. What is c?
-1
Let b(w) be the first derivative of -4*w**3/15 + 64*w**2/5 - 1008*w/5 - 726. Let b(v) = 0. Calculate v.
14, 18
Let b(j) = -56*j**2 + 22139*j - 10200997. Let n(z) = -20*z**2 + 7380*z - 3400332. Let o(v) = 4*b(v) - 11*n(v). Solve o(c) = 0.
922
Let q(x) = 9*x**3 + 1019*x**2 + 134140*x - 272498. Let l(p) = -p**3 + 3*p**2 + 2*p + 2. Let n(j) = -14*l(j) - 2*q(j). Solve n(w) = 0.
-261, 2
Suppose 1/8*u**2 + 3/4*u + 0 = 0. What is u?
-6, 0
Let g(o) = -o - 6. Let x(t) = -7*t - 69. Let z(i) = 2*g(i) - x(i). Let l be z(-11). Factor -8/9*b + 8/9 + 2/9*b**l.
2*(b - 2)**2/9
Let h(o) = 4*o**3 - 10*o**2 - 12*o + 23. Let a be h(1). Determine g, given that 864/7 + 1296/7*g + 72/7*g**2 - 292/7*g**3 - 4/7*g**a + 64/7*g**4 = 0.
-1, 6
Let s(f) = -16*f**3 + 4*f**2 + 126*f - 218. Let c(q) = -q**4 - 65*q**3 + 15*q**2 + 504*q - 873. Let y(d) = -4*c(d) + 18*s(d). Let y(u) = 0. Calculate u.
-3, 3, 4
Let 104/7*h**2 - 4*h**4 + 10/7*h**5 - 12/7 - 38/7*h - 36/7*h**3 = 0. Calculate h.
-2, -1/5, 1, 3
Let g(y) = -16*y**3 - 317*y**2 + 523*y - 267. Let j(f) = 11*f**3 + 211*f**2 - 350*f + 177. Let v(d) = 7*g(d) + 11*j(d). Determine c so that v(c) = 0.
-13, 2/3, 1
Let z(p) be the third derivative of 0 + 8*p + 43/780*p**6 - 1/1365*p**7 + 0*p**3 + 147/52*p**4 + 3*p**2 - 161/130*p**5. Solve z(j) = 0.
0, 1, 21
Let g = -720 + 316. Let n = -402 - g. Factor 18 - 6*k + 1/2*k**n.
(k - 6)**2/2
Let t(a) be the third derivative of a**8/504 - 11*a**7/525 + 61*a**6/900 - a**5/30 - a**4/10 + 717*a**2. Find n such that t(n) = 0.
-2/5, 0, 1, 3
Let y be -7*15/3255 + 8394/744. Factor -3/8*b**2 - 675/8 - y*b.
-3*(b + 15)**2/8
Let d(v) be the third derivative of -v**7/42 - 5*v**6/12 - 11*v**5/12 + 175*v**4/12 + 912*v**2. Factor d(n).
-5*n*(n - 2)*(n + 5)*(n + 7)
Let a(l) = 10*l**3 - 254*l**2 + 7800*l - 13509. Let o(y) = 2*y**3 - 56*y**2 + 1560*y - 2702. Let u(m) = -4*a(m) + 22*o(m). Factor u(h).
4*(h - 26)**2*(h - 2)
Let u(b) be the first derivative of -32*b**6/3 - 96*b**5 - 145*b**4 + 70*b**2 - 24*b + 562. What is w in u(w) = 0?
-6, -1, 1/4
Let n(i) be the first derivative of -i**6/45 - i**5/30 + i**4/18 + i**3/9 + 32*i + 32. Let b(y) be the first derivative of n(y). Factor b(v).
-2*v*(v - 1)*(v + 1)**2/3
Let m(b) be the first derivative of -79 - 9*b - 3/4*b**3 + 41/2*b**2. Determine o, given that m(o) = 0.
2/9, 18
Let z(d) be the third derivative of d + 0 + 1/224*d**8 - 1/140*d**7 - 1/16*d**6 + 1/40*d**5 - 70*d**2 + d**3 + 1/2*d**4. Factor z(x).
3*(x - 2)**2*(x + 1)**3/2
Factor -106/9*g + 140/3 - 14/3*g**2.
-2*(3*g + 14)*(7*g - 15)/9
Let p = 2321 + -2317. Let k(i) be the second derivative of -7/45*i**6 + 0 + 1/2*i**p + 5/9*i**3 - 1/6*i**5 - 2/3*i**2 + 12*i. Solve k(m) = 0.
-1, 2/7, 1
Let c(g) be the first derivative of g**6/36 - g**5/30 - 5*g**4/12 + 2*g**3/9 + 2*g**2 - 3528. Determine n, given that c(n) = 0.
-2, 0, 2, 3
Let k(l) = -l**3 + 2*l**2 + 5*l - 2. Let n be k(3). Determine b so that -3*b**4 - b**n - 2215*b**3 - b**4 + 2210*b**3 = 0.
-1, 0
Let k(c) = 2*c**2 - 5*c + 2. Let u be k(4). Suppose -d + u = 11. Factor 4*f - 39*f**d + 37*f**3 + 2*f**2 + 4 - 5*f**2 + f**4.
(f - 2)**2*(f + 1)**2
Let p(n) be the third derivative of n**8/35 - n**7/21 + 11*n**6/360 - n**5/120 - 49*n**3/3 - 45*n**2 + n. Let d(y) be the first derivative of p(y). Factor d(a).
a*(3*a - 1)*(4*a - 1)**2
Let h = -30 - -35. Suppose h*i - 11 = 14. Factor 0*c**2 + i*c**3 + 0*c**2 - 5*c.
5*c*(c - 1)*(c + 1)
Let b be -6 + 1 + -665 + (0 - 2). Let r = b + 672. Find h such that r - 1/8*h**5 - 15/8*h**3 + 9/8*h**2 + 7/8*h**4 + 0*h = 0.
0, 1, 3
Let d(m) = 35*m**4 + 1645*m**3 - 15*m**2 - 4935*m - 3290. Let p(w) = 11*w**4 + 548*w**3 - 6*w**2 - 1645*w - 1096. Let v(j) = -3*d(j) + 10*p(j). Factor v(q).
5*(q - 2)*(q + 1)**2*(q + 109)
Let p(a) be the first derivative of -a**8/10920 - a**7/546 - 8*a**6/585 - 8*a**5/195 + 9*a**3 + a - 73. Let i(b) be the third derivative of p(b). Factor i(g).
-2*g*(g + 2)*(g + 4)**2/13
Factor -1496/15*p + 200 - 2/15*p**2.
-2*(p - 2)*(p + 750)/15
Suppose 15 = 5*y, -5*y - 25 = -3*b + 2. Let v(m) = -8*m**3 - 32*m**2 - 19*m + 5. Let w(d) = 4*d**3 + 15*d**2 + 9*d - 2. Let z(j) = b*w(j) + 6*v(j). Factor z(r).
2*(r + 1)**2*(4*r + 1)
Factor -6*f**3 - 632*f**2 - 14853*f + 1329*f + 244*f - 2232 + 6374*f.
-2*(f + 12)*(f + 93)*(3*f + 1)
Suppose -234*s + 233*s - 108 = 0. Let k be s/8*56/(-714). Determine v, given that -k - 6/17*v + 10/17*v**2 - 2/17*v**3 = 0.
-1, 3
Let z(d) be the second derivative of d**5/100 - 11*d**4/60 + 31*d**3/30 - 21*d**2/10 - 3804*d. Factor z(n).
(n - 7)*(n - 3)*(n - 1)/5
Suppose -61*d = -136*d. Let r(q) be the second derivative of 4/5*q**2 + d - 4/15*q**3 + 1/30*q**4 + 6*q. Find f, given that r(f) = 0.
2
Let r be ((-32)/192)/((-21)/420). Factor -2/9*c**3 - 128/9 - 32/3*c + r*c**2.
-2*(c - 8)**2*(c + 1)/9
Suppose 1024/5 + 1/5*o**2 + 64/5*o = 0. Calculate o.
-32
Let d(b) = -b**2 - 4*b + 441. Let f be d(-23). Factor -12 + 127*v**3 + 256*v**f - 703*v**3 + 70*v**2 - 753*v**2 + 184*v + 47*v**2.
4*(v - 3)*(v + 1)*(8*v - 1)**2
Suppose c - 3*k + 5 + 10 = 0, 0 = 2*c - 4*k + 18. Let v(m) be the first derivative of 1/10*m**4 + 1/25*m**5 + 19 + 0*m - 4/5*m**2 - 4/15*m**c. Factor v(w).
w*(w - 2)*(w + 2)**2/5
Let o be (-7)/(-1) + -5 + (-10 - -8). Let t(f) be the second derivative of 0*f**3 + 10*f + o*f**5 - 1/24*f**4 + 0 + 1/42*f**7 + 1/20*f**6 + 0*f**2. Factor t(z).
z**2*(z + 1)**2*(2*z - 1)/2
Determine u, given that 4*u**3 + 176187*u - 1883*u**2 + 79331*u - 229*u**2 + 0*u**3 + 23266*u = 0.
0, 264
Let k = 9 - 5. Supp