*x + 4*g**2 + 7 + 0*g - 4/5*g**5 + 4/3*g**3. Determine s so that v(s) = 0.
-1, 0, 1, 2
Let l = 2177/3273 + 5/3273. Let d(f) be the second derivative of 11*f - 1/30*f**5 + 0 - l*f**2 + 1/9*f**3 + 1/9*f**4. Let d(a) = 0. Calculate a.
-1, 1, 2
Factor 168*l**2 + 1/2*l**3 + 14112*l + 0.
l*(l + 168)**2/2
Let s(d) be the second derivative of 25*d**2 + 1/96*d**4 + 5/6*d**3 + 107*d + 0. Solve s(w) = 0 for w.
-20
Let m be (1 - (-44)/14) + (-37)/(11655/360). Factor 9/5*w**m + 42/5*w**2 - 21/5*w - 6.
3*(w - 1)*(w + 5)*(3*w + 2)/5
Let m = -6112 - -6112. Let d(i) be the second derivative of 0*i**3 - 13*i + 1/4*i**4 - 3/20*i**5 + m + 0*i**2. Factor d(p).
-3*p**2*(p - 1)
Let f(k) = -4*k**2 - 13*k - 9. Let d be (6 + -4)*(0 + 1). Let j(g) = 8 + d + g + 4*g**2 + 11*g - 2. Let n(u) = -4*f(u) - 5*j(u). Suppose n(y) = 0. What is y?
-1
Let j(q) = 24*q**2 + 156*q + 440. Let a(n) = -5*n**2 + n + 1. Let g(u) = -4*a(u) - j(u). Factor g(c).
-4*(c + 3)*(c + 37)
Let r be (29 + -33)/((-2)/(-15)*1). Let z be (-1)/(6/18 - r/(-9)). Factor 1/3*v**3 - 1/3*v**2 + 0 - 1/3*v + z*v**4.
v*(v - 1)*(v + 1)**2/3
Let h be 436/981 - ((-560)/(-18))/(-2). Let m be (-33)/(-572)*13*h/18. Factor m*w**3 + 0 - 3*w**2 - 2/3*w + 3*w**4.
w*(w - 1)*(w + 1)*(9*w + 2)/3
Factor 1004/7 + 2012/7*p + 1012/7*p**2 + 4/7*p**3.
4*(p + 1)**2*(p + 251)/7
Let w be 8 - (-63)/(-7) - (11 + -16). Let a(s) be the second derivative of 3*s**2 + 3*s**w + 3/4*s**5 + 9/2*s**3 - 8*s + 0. Factor a(x).
3*(x + 1)**2*(5*x + 2)
Let j = 1207 - 1207. Let h(g) be the second derivative of j*g**2 + 15*g - g**3 - 1/4*g**4 + 0. Factor h(w).
-3*w*(w + 2)
Let l(f) be the first derivative of 44 + 0*f + 14/33*f**3 + 2/11*f**2 + 1/11*f**4 - 6/55*f**5. Suppose l(n) = 0. Calculate n.
-1, -1/3, 0, 2
Let v(n) be the third derivative of -n**5/150 - 13*n**4/60 + 68*n**3/15 - 5*n**2 + 3. Determine z, given that v(z) = 0.
-17, 4
Let b(m) be the second derivative of -m**4/9 + 1550*m**3/9 - 516*m**2 - m + 1731. Factor b(j).
-4*(j - 774)*(j - 1)/3
Let h be 106/12*2 - 13/(-39). Let x(b) = -b**2 - 18*b + 23. Let j be x(-19). Factor -j*k + 10*k**5 + 2*k**2 + h*k**3 + 37 - 13*k**4 - 13*k**4 - 37.
2*k*(k - 1)**3*(5*k + 2)
Let d(l) = 4*l**3 - 1193*l - 11 - 28*l**2 - 13 + 1245*l. Let b(x) = -4*x**3 + 29*x**2 - 54*x + 24. Let a(u) = 4*b(u) + 5*d(u). Let a(i) = 0. Calculate i.
1, 2, 3
Let i = -229 - -258. Suppose i*k + 67 + 338 - 119*k + 5*k**2 = 0. Calculate k.
9
Let n = -197 - -7. Let h be n/45 - -4 - 58/(-18). Let 8*k**3 - 10*k**h - 2*k + 3*k - 2*k**2 + 3*k = 0. Calculate k.
-2, 0, 1
Let w = -1/15086 + -1568927/256462. Let f = -40/51 - w. Factor f*l**2 - 20/3*l - 4/3*l**3 + 8/3.
-4*(l - 2)*(l - 1)**2/3
Factor -2/5*k**4 + 10*k**3 + 0*k - 132/5*k**2 + 0.
-2*k**2*(k - 22)*(k - 3)/5
Let c = 19394 + -19394. Let o(u) be the third derivative of c*u + 0*u**4 + 0 - 1/100*u**5 + 20*u**2 + 2/5*u**3. Find w, given that o(w) = 0.
-2, 2
Let l(x) be the first derivative of -x**5/15 - x**4 - 3*x**3 - 8820. Find w, given that l(w) = 0.
-9, -3, 0
Factor 13*h**3 - 206*h**2 - 2*h**5 + 2*h**4 + 4*h + 4*h**4 + 218*h**2 + 3*h**5.
h*(h + 1)**2*(h + 2)**2
Let z(q) = -q**3 + q**2 - q + 2. Suppose -2 = 22*g - 24*g. Let c(l) = 3*l**3 - 37*l + 68. Let v(s) = g*c(s) + 2*z(s). Factor v(h).
(h - 3)**2*(h + 8)
Factor -24/7*v**2 + v**4 + 64/7*v - 16/7*v**3 - 16/7.
(v - 2)**2*(v + 2)*(7*v - 2)/7
Factor 2571/8*k + 321 + 3/8*k**2.
3*(k + 1)*(k + 856)/8
Let i(g) be the second derivative of -2*g**7/63 + 2*g**6/15 + g**5/5 - 11*g**4/9 + 4*g**3/3 + 3270*g. Solve i(v) = 0.
-2, 0, 1, 3
Let l = 49 - 55. Let v = l - -8. Factor -o**3 + o**2 + 2 + 3*o**v - 5*o - 4*o**2 + 4*o**2.
-(o - 2)*(o - 1)**2
Let s(w) be the second derivative of 18*w**2 + 2*w**3 + 1/12*w**4 + 2 + 204*w. Factor s(x).
(x + 6)**2
Let y(w) be the first derivative of 2*w**3/3 + 471*w**2 + 1876*w - 378. What is j in y(j) = 0?
-469, -2
Let v(b) be the first derivative of -b**4 - 2060*b**3/3 - 1028*b**2 - 1649. Factor v(j).
-4*j*(j + 1)*(j + 514)
Let u(g) be the second derivative of -g**5/120 - g**4/6 - 4*g**3/3 - g**2/2 - 267*g. Let d(t) be the first derivative of u(t). Factor d(n).
-(n + 4)**2/2
Let x(t) = -16*t - 15. Let d be ((-1)/(2/7))/(1/6). Let h be x(d). Factor -h*v + 315*v - 2*v**3 - 4 + 4*v**3.
2*(v - 2)*(v + 1)**2
Let n be (50/(-6) + -2 + 10)/(17 - 12 - 6). What is c in n*c**3 + 5929*c + 456533/3 + 77*c**2 = 0?
-77
Factor -104*q**2 + 436*q + 163*q - 106*q**2 + 45*q + 646 + 208*q**2.
-2*(q - 323)*(q + 1)
Factor 96*o**2 + 4*o**4 - 719*o + 719*o + 51*o**3 - 3*o**3 - 8*o**3.
4*o**2*(o + 4)*(o + 6)
Let d(z) = z**3 + 158*z**2 + 1200*z + 2. Let l be d(-150). Solve -16/9 + 2*r - 2/9*r**l = 0.
1, 8
Factor 2*l**4 - 7*l**4 + 493988*l**5 - 2*l**4 - 3*l**3 - 493990*l**5.
-l**3*(l + 3)*(2*l + 1)
Let u(b) = -25*b**2 + 71750*b - 51480638. Let m(y) = -10*y**2 + 28700*y - 20592255. Let k(v) = -13*m(v) + 5*u(v). Factor k(j).
5*(j - 1435)**2
Suppose 54*s - 35*s = 34*s. Let w(b) be the second derivative of s + 13/20*b**6 - b + b**2 - 7/8*b**4 + 2*b**3 - 23/20*b**5. Find a, given that w(a) = 0.
-2/3, -2/13, 1
Suppose 33*i = 19*i + 28. Suppose 2 + 5*d - 3*d**3 - 8 - i*d**3 - 2*d**2 - 8*d**2 + 16 = 0. What is d?
-2, -1, 1
Let y(b) be the third derivative of 0 - 25/6*b**3 - 5/4*b**4 - 1/12*b**5 + 0*b + 78*b**2. Factor y(m).
-5*(m + 1)*(m + 5)
Let b(x) be the second derivative of -x**4/3 - 32*x**3/3 - 78*x**2 - 6481*x. Factor b(z).
-4*(z + 3)*(z + 13)
Let l(t) be the third derivative of t**6/120 + 3*t**5/40 + t**4/4 - 121*t**3/6 + t**2 + t. Let n(g) be the first derivative of l(g). Factor n(z).
3*(z + 1)*(z + 2)
What is r in 126/17 - 250/17*r - 4/17*r**2 = 0?
-63, 1/2
Let k = -2 + 10. Suppose 4*q = 6*q - k. Factor -14*r - 128 + 4*r**2 + q*r**3 + 80 - 18*r.
4*(r - 3)*(r + 2)**2
Let q(v) = -5*v**2 + 28*v - 117. Let t(l) = 32*l**2 - 196*l + 820. Let o(j) = 4*j - 67. Let d be o(16). Let g(n) = d*t(n) - 20*q(n). What is s in g(s) = 0?
-10, 3
Let x(s) = 27*s**2 - 427*s - 6. Let g be x(16). Let d = 76 - g. Let 1 + 1/4*l**d + l = 0. Calculate l.
-2
Suppose -4*c + 2*r = -9*c + 427, 4*c - 4*r = 336. Let g = c + -83. Let -2/3*n**g - 4/3*n + 0 = 0. What is n?
-2, 0
Let r(c) be the second derivative of c**7/189 + 19*c**6/45 - 59*c**5/30 + 179*c**4/54 - 20*c**3/9 + 2736*c. Suppose r(t) = 0. What is t?
-60, 0, 1
Let l(b) be the third derivative of b**5/60 + 419*b**4/12 + 175561*b**3/6 - b**2 - b + 261. Let l(g) = 0. What is g?
-419
Let i(x) be the third derivative of -x**5/30 + 5*x**4/3 - 64*x**3/3 + 1494*x**2. Determine g, given that i(g) = 0.
4, 16
Let k = 243 - 249. Let d(s) = -s**3 + s**2 + s + 1. Let v(y) = 54*y**5 - 81*y**4 - 78*y**3 + 52*y**2 - 4*y - 5. Let h(t) = k*d(t) - 2*v(t). Solve h(r) = 0.
-1, -1/6, 1/3, 2
Suppose 27*c - 53*c - 18 + 18 = 0. Let t(j) be the third derivative of 0*j + 1/200*j**6 + c*j**3 - 1/20*j**5 + 0 - 10*j**2 - 3/20*j**4. Factor t(s).
3*s*(s - 6)*(s + 1)/5
Let h(f) be the first derivative of -f**4/44 - 13*f**3/33 - 6*f**2/11 - 1449. Solve h(m) = 0 for m.
-12, -1, 0
Let f be ((-21)/(-6))/7 - 2014/4. Let v = -356 - f. Determine p, given that v*p + 47*p**3 + 49*p**3 + 343 - 95*p**3 + 21*p**2 = 0.
-7
Let l be 8984/7861*7/10. Factor -1/5*u**4 + u**3 - 8/5*u**2 + 0 + l*u.
-u*(u - 2)**2*(u - 1)/5
Let a(n) = 40*n - 66. Let b be a(2). Let l(m) be the first derivative of -9/2*m**2 - m**3 - 6*m - b. Solve l(c) = 0 for c.
-2, -1
Let x(t) = -2*t**4 - 4*t**3 + 5*t**2 + t. Let y(g) = -3*g - 5*g**4 + 12*g**2 + 7*g - 9*g**3 - 2*g. Let b(n) = -7*x(n) + 3*y(n). Factor b(h).
-h*(h - 1)**2*(h + 1)
Let d be (-3718)/(-2145) - (-16)/24. Factor -4/5*c**2 + 0 - d*c.
-4*c*(c + 3)/5
Let b(f) be the third derivative of -7/20*f**5 - 1/4*f**4 - 60*f**2 + 0*f + 0*f**3 + 0 - 1/5*f**6 - 3/70*f**7. Determine s so that b(s) = 0.
-1, -2/3, 0
Let x = 44759 + -44757. What is v in 3/4 - 12*v + 12*v**3 + 189/4*v**x - 48*v**4 = 0?
-1, 1/8, 1
Suppose 5*h + 203 = 213. Suppose -60*s + 84*s**h - 100 + 4*s**5 + 56*s**3 - 36*s**4 - 17*s**2 + 69*s**2 = 0. What is s?
-1, 1, 5
Let z be (-67*56/(-5628))/((-14)/(-48)). Solve -18/7*p + 2/7*p**2 + z = 0.
1, 8
Let -68/9*i + 578/3*i**2 + 83521/9*i**4 - 19652/9*i**3 + 1/9 = 0. Calculate i.
1/17
Let q be (16/(-4) - -1) + 3. Let h be (-6)/15 + (-27)/(-5) + q. Factor 28 - 16 + h*f - 3*f**2 - 10.
-(f - 2)*(3*f + 1)
Let x(n) be the second de