 - c**2/2 - 81. Let r(l) be the third derivative of j(l). Factor r(a).
-2*(a + 11)**2
Let y be (12*((-112)/616)/((-375)/55))/((-8)/(-10)). Solve 16/5*c**4 - 20*c**2 + 0*c + y*c**5 + 2*c**3 + 0 = 0 for c.
-5, 0, 2
Let g = 1/90278 - -90275/270834. Factor 28/3*n**2 - 4*n**3 - g*n**4 + 0 + 1/3*n**5 - 16/3*n.
n*(n - 2)**2*(n - 1)*(n + 4)/3
Let k = -105 - -105. Let r be -1 - -3 - (1 - k)*-1. Factor 6*t**2 + 1 + 11*t**r - 7 - 2*t**3 - 18*t + 9*t.
3*(t - 1)*(t + 1)*(3*t + 2)
Let f = -642/415 - -21243/1660. Solve -f*l**4 + 51*l**3 - 15/2*l + 0 + 111/4*l**2 = 0.
-2/3, 0, 1/5, 5
Let t(k) be the second derivative of -1/3*k**2 + 3*k + 2/5*k**6 + 2/5*k**5 - 45 - 83/36*k**4 + 25/18*k**3. Factor t(f).
(f - 1)*(f + 2)*(6*f - 1)**2/3
Suppose -132571*b**3 + 5776 + 132572*b**3 - 19*b**2 + 1140*b - 53*b**2 = 0. Calculate b.
-4, 38
Suppose 12*d**4 - 80/3*d - 12*d**2 + 82/3*d**3 - 2/3*d**5 + 0 = 0. Calculate d.
-2, -1, 0, 1, 20
Suppose -4*n = -9*n. Suppose -78 = v - 82. Let v*h**2 + n*h**2 + 4*h - 13*h + 2*h**3 + 11*h = 0. Calculate h.
-1, 0
Let j(b) be the third derivative of 0*b**3 + 0 - 1/10*b**5 + 0*b + 1/112*b**8 + 0*b**7 + 0*b**4 - 3/40*b**6 + 194*b**2. Factor j(i).
3*i**2*(i - 2)*(i + 1)**2
Factor -3600/7*r - 120*r**2 - 1/7*r**5 + 71/7*r**3 + 0 + 2*r**4.
-r*(r - 12)**2*(r + 5)**2/7
Factor -75*i**2 - 4/3*i - 24*i**3 + 1/3*i**4 + 100.
(i - 75)*(i - 1)*(i + 2)**2/3
Factor 1/4*f**2 + 6724 + 82*f.
(f + 164)**2/4
Let x(y) be the third derivative of 16*y**5/25 + 16*y**4/15 + 2*y**3/3 + 3321*y**2 - 1. What is g in x(g) = 0?
-5/12, -1/4
Let f(j) be the third derivative of -j**7/210 + 31*j**6/20 - 736*j**5/5 + 2116*j**4/3 - 409*j**2. Determine p so that f(p) = 0.
0, 2, 92
Let a(l) be the third derivative of -1/28*l**8 + 0*l**3 + 38/105*l**7 - 31*l + 0 - 16/3*l**4 - 64/15*l**5 + 3*l**2 - 1/3*l**6. Suppose a(k) = 0. Calculate k.
-1, -2/3, 0, 4
Suppose -101 + 1349*t**2 - 1347*t**2 - 43 + 24 + 56*t = 0. What is t?
-30, 2
Suppose 4*c - 418 = -18*c. Suppose -10*w = c*w - 87. Suppose -1/9*f**5 + 1/9*f**4 + 1/9*f**w + 0 - 1/9*f**2 + 0*f = 0. What is f?
-1, 0, 1
Determine k so that -176/9*k + 2*k**4 - 8*k**2 - 2/9*k**5 + 52/9*k**3 + 0 = 0.
-2, 0, 2, 11
Let c(g) be the first derivative of 24/7*g**3 + 0*g + 2/35*g**5 + 6/7*g**4 + 218 + 0*g**2. Let c(t) = 0. What is t?
-6, 0
Find a, given that -1/2*a**3 + 140*a - 150 + 21/2*a**2 = 0.
-10, 1, 30
Suppose -2*b - 3*b + 4*x + 24 = 0, 2*x + 22 = 5*b. Suppose 0 = -3*a + 5*a - b. Let 83*i**2 + a - 18*i - 35*i**2 + 4*i**3 - 4*i**3 - 32*i**3 = 0. What is i?
1/4, 1
Let s = -361115 + 1083349/3. Let 64/3*j - 16 - s*j**3 - 4*j**2 = 0. Calculate j.
-6, 1, 2
Let q(o) be the first derivative of -5*o**3/3 + 59*o**2/2 - 44*o + 2172. Factor q(i).
-(i - 11)*(5*i - 4)
Let m(z) be the third derivative of 11/18*z**4 + 7/9*z**3 + 41*z + z**2 + 0 + 4/15*z**5 + 1/18*z**6 + 1/315*z**7. Factor m(h).
2*(h + 1)**3*(h + 7)/3
Let f(g) be the first derivative of -147*g**4/20 + 8099*g**3 + 34728*g**2/5 + 9924*g/5 + 11482. Let f(j) = 0. What is j?
-2/7, 827
Let j(k) be the second derivative of 1/21*k**4 - 1/70*k**5 + 1/3*k**3 + 4/7*k**2 + 21*k + 5. Find g, given that j(g) = 0.
-1, 4
Let j(q) be the first derivative of 0*q + 0*q**2 + 3/2*q**5 + 0*q**3 - 5/12*q**6 - 5/4*q**4 - 44. Factor j(h).
-5*h**3*(h - 2)*(h - 1)/2
Factor 2/5 - 17/5*w - 9/5*w**2.
-(w + 2)*(9*w - 1)/5
Suppose 10603*b - 10577*b - 78 = 0. Let i(h) be the first derivative of 2/5*h**5 + 0*h**2 - 4/3*h**b - 11 + 1/2*h**4 + 0*h. What is x in i(x) = 0?
-2, 0, 1
Factor -6276 - 24 + 44465*c**2 - 44553*c**2 + 1290*c + 2*c**3.
2*(c - 15)**2*(c - 14)
Let y(o) = o**2 - 4*o - 10. Let t be y(6). Factor -8*d**2 + 12*d**t + 7*d**2 - 10*d**2 - 4*d.
d*(d - 4)
Let w(f) be the first derivative of -55*f**3 - 6655*f - 1815/2*f**2 - 72 - 5/4*f**4. Factor w(i).
-5*(i + 11)**3
Let w(z) = 3*z**4 + 124*z**3 + 1089*z**2 + 1904*z - 3137. Let d(s) = s**4 + 15*s**2 + 1. Let g(m) = -d(m) - w(m). Find q such that g(q) = 0.
-14, -4, 1
Suppose 3*w - 2443 = y - 2444, 2*w - 3*y + 17 = 0. Let a(h) be the first derivative of 2/9*h**w - 10/27*h**3 + 0*h + 33 + 2/9*h**4 - 2/45*h**5. Factor a(p).
-2*p*(p - 2)*(p - 1)**2/9
Let j = -22 - -225. Let j - 10*c**2 + 12*c**2 + 10*c - 215 = 0. Calculate c.
-6, 1
Let u = 38593 + -38588. Factor 1/9*x**u + 0*x**2 + 0 + 0*x + 0*x**3 - 7/3*x**4.
x**4*(x - 21)/9
Let z be ((-4 - 1) + (-915)/(-610) + 3/2)/(-22). Solve -71/11*g - z*g**2 + 72/11 = 0 for g.
-72, 1
Let a = -156146/7 + 312859/14. Determine g so that 27 - 393/4*g**2 - 21/4*g**4 + 63*g + a*g**3 = 0.
-2/7, 2, 3
Suppose -73*z + 567 = -583 + 1004. Let s(j) be the first derivative of 3*j**z - 22 + 2/3*j**3 + 0*j. Factor s(h).
2*h*(h + 3)
Let i(b) be the second derivative of b**8/2016 - b**6/240 + b**5/180 + 86*b**2 - 13*b + 1. Let r(h) be the first derivative of i(h). Let r(g) = 0. What is g?
-2, 0, 1
Solve 110045*v - 244 - v**2 - 110287*v + 3 = 0 for v.
-241, -1
Let v(s) be the third derivative of -s**8/252 + 44*s**7/315 - 133*s**6/90 + 104*s**5/15 - 14*s**4 - 14101*s**2. Let v(g) = 0. Calculate g.
0, 2, 3, 14
Solve 8*z**3 - 12/5*z + 18/5*z**4 + 0 - 46/5*z**2 = 0.
-3, -2/9, 0, 1
Suppose 2*i = -5*s + 5, -4*i - 3*s + 5 = 2*s. Let x(v) be the second derivative of 0*v**4 + i + 0*v**2 + 0*v**3 + 7*v + 1/80*v**5. Factor x(u).
u**3/4
Factor -1/4*j**3 + 1/4*j**2 + 0 + 3*j.
-j*(j - 4)*(j + 3)/4
Let l(d) be the first derivative of -4*d**3/21 + 8*d**2/7 + 20*d/7 - 1128. Solve l(v) = 0 for v.
-1, 5
Let f(z) be the second derivative of -z**4/132 + 1399*z**3/33 - 1957201*z**2/22 - 4548*z. Factor f(a).
-(a - 1399)**2/11
Suppose -32/17 - 2/17*h**4 - 44/17*h + 16/17*h**3 + 6/17*h**2 = 0. What is h?
-1, 2, 8
Let l(z) = 307*z**2 - 2*z. Let g be l(3). Let u = 46889/17 - g. Factor 54/17 + 72/17*h**2 + 108/17*h + 2/17*h**4 + u*h**3.
2*(h + 1)*(h + 3)**3/17
Let u(h) = -h**3 - 5*h + 4*h**2 + 27*h**5 + h - 30*h**5 - 4*h**3 - 2*h**4. Let b(c) = -2*c**5 - c**3 - 2*c**2. Let t(k) = -2*b(k) + u(k). Factor t(x).
x*(x - 2)*(x - 1)**2*(x + 2)
Let v(i) be the first derivative of 4*i**5/5 - 15*i**4 - 556*i**3/3 - 642*i**2 - 792*i + 299. Find d such that v(d) = 0.
-3, -1, 22
Factor -231*i - 479*i - 1217 + 25*i**2 + 6258.
(5*i - 71)**2
Let g(b) be the first derivative of -178 + 295/2*b**2 + 300*b - 5/3*b**3. Factor g(x).
-5*(x - 60)*(x + 1)
Solve -77*j**3 - 72*j**3 - j**4 - 82*j**2 + 219*j**3 - 74*j**3 + 103*j**2 + 100*j + 100 = 0 for j.
-5, -2, 5
Let q(b) be the first derivative of 70*b**3/3 + 241*b**2 - 56*b + 383. Solve q(t) = 0.
-7, 4/35
Suppose -3*v - 3*v + 18 = 0. Let 265*a - 16 - 45*a - 8 + 6*a**2 - v*a**2 + 73*a**2 = 0. Calculate a.
-3, 2/19
Let a(f) be the second derivative of f**6/75 - 267*f**5/25 + 69121*f**4/30 + 192952*f**3/5 + 1175056*f**2/5 + f + 314. Suppose a(i) = 0. Calculate i.
-4, 271
Let j(r) be the second derivative of -r**6/15 - 5*r**5 - 171*r**4/2 + 972*r**3 + 7*r + 234. Solve j(z) = 0.
-27, 0, 4
Suppose 0*a - 8*a + 160 = 0. Let k = -18 + a. Let -4*q**2 + q**3 + 3*q + 4*q**2 + 4*q**k + 0*q**2 = 0. Calculate q.
-3, -1, 0
Suppose -791*z = 15493 - 17075. Solve -4/7*a**z + 0 - 36/7*a = 0 for a.
-9, 0
Suppose -2381 - 36182*c**2 - 36177*c**2 + 3684*c - 1307 + 72363*c**2 = 0. Calculate c.
-922, 1
Let m(h) = -8*h**4 + 629*h**3 - 1255*h**2 + 662*h - 21. Let z(j) = -7*j**4 + 629*j**3 - 1255*j**2 + 657*j - 18. Let a(c) = 6*m(c) - 7*z(c). Factor a(s).
s*(s - 627)*(s - 1)**2
Let l(k) be the second derivative of 1/60*k**4 + 1/10*k**3 - 23*k - 2 - 2/5*k**2. Factor l(c).
(c - 1)*(c + 4)/5
Let j(i) be the first derivative of -i**5 - 45*i**4/4 + 95*i**3 + 325*i**2/2 + 1818. Suppose j(v) = 0. Calculate v.
-13, -1, 0, 5
Let v(t) be the first derivative of 2*t**5/15 - 13*t**4/3 + 142*t**3/9 - 46*t**2/3 + 392. Suppose v(g) = 0. What is g?
0, 1, 2, 23
Factor -26/5*l**2 + 0 + 2*l**3 + 2/5*l**4 + 14/5*l.
2*l*(l - 1)**2*(l + 7)/5
Let z = 5426 + -16276/3. Let u(o) be the first derivative of 0*o**2 - 8/5*o**5 + 5 + 0*o + z*o**6 + o**4 + 0*o**3. Determine x so that u(x) = 0.
0, 1
Let n(z) be the first derivative of -350 - 15/2*z**6 + 0*z - 5/2*z**4 + 0*z**2 + 0*z**3 - 11*z**5. Factor n(r).
-5*r**3*(r + 1)*(9*r + 2)
Suppose -1 - 71 = -6*r. Let y be (r/18)/(8/(-3) + 4). Factor -c - y*c**2 + 1/4*c**3 + 2.
(c - 2)**2*(c + 2)/4
Let q(y) be the third derivative of 65/24*y**4 + 5/2*y**3 - 4 +