lve -2/13*b**4 - 34/13*b + 12/13 + 30/13*b**2 - 6/13*b**3 = 0 for b.
-6, 1
Let c be 3/21*2 + (-224649)/353430. Let b = 1/330 - c. Suppose 8/17*h + b + 2/17*h**2 = 0. What is h?
-3, -1
Let n(m) be the second derivative of m**6/30 + 47*m**5/20 + 191*m**4/4 + 437*m**3/6 - 529*m**2 - 82*m - 1. Factor n(t).
(t - 1)*(t + 2)*(t + 23)**2
Let w = -36 - -45. Let u = 19 + -17. Determine p, given that 6*p + 2*p**u + w + 0*p**2 - p**2 = 0.
-3
Let i(a) = 110*a**3 - 1440*a**2 + 3620*a - 1395. Let x(c) = -2*c**3 + 2*c + 2. Let o(n) = -i(n) + 25*x(n). Let o(t) = 0. Calculate t.
1/2, 17/4
Factor 27/2*g**3 + 450 + 1356*g + 2061/2*g**2.
3*(g + 75)*(3*g + 2)**2/2
Factor -75*i**2 + 4*i**4 + 42676*i - 40*i**3 - 42588*i + 23*i**2.
4*i*(i - 11)*(i - 1)*(i + 2)
Factor -5/3*a**2 + 280/3 + 130/3*a.
-5*(a - 28)*(a + 2)/3
Let u(g) be the third derivative of g**6/90 - g**5/6 + 49*g**3/6 - 48*g**2 + 1. Let t(z) be the first derivative of u(z). Factor t(m).
4*m*(m - 5)
Factor -3*t**2 + 0*t**2 - 9*t**2 - 9*t**2 + 540*t - 1060 + 16*t**2.
-5*(t - 106)*(t - 2)
Suppose -4*r + 34 = 2. Factor 978 - 24*c - 978 + 40*c**2 - 6*c**3 - 4*c**4 + 2*c**5 - r*c**3.
2*c*(c - 2)**2*(c - 1)*(c + 3)
Factor 196*n**3 - 600*n**2 + 1735*n - 1057 + 3397 - 191*n**3.
5*(n - 117)*(n - 4)*(n + 1)
Let g(v) be the first derivative of 18*v**7/35 + v**6 + 37*v**5/180 + v**4/72 + v**2 + 9*v - 287. Let l(m) be the second derivative of g(m). Factor l(w).
w*(w + 1)*(18*w + 1)**2/3
Let v be 8/45*(-144)/(-192). Let x(l) be the third derivative of -2/5*l**3 - 1/75*l**5 + 8*l**2 + v*l**4 + 0*l + 0. Factor x(y).
-4*(y - 3)*(y - 1)/5
Let b be 2/(55/(-33)*(-2)/5). Factor -5*h**b - 30*h**2 + 5*h**2 - 494*h + 464*h.
-5*h*(h + 2)*(h + 3)
Let u(s) be the third derivative of -s**6/360 - s**5/15 - s**4/2 - 41*s**3/6 - 24*s**2. Let m(f) be the first derivative of u(f). Solve m(t) = 0.
-6, -2
Let s(q) be the second derivative of 90*q**7/7 + 456*q**6/5 - 7077*q**5/20 + 637*q**4/4 + 343*q**3 + 800*q. Find i such that s(i) = 0.
-7, -2/5, 0, 7/6
Suppose 37*d + 25*d = 124. Suppose 2*r - 6 = -2. Factor 8*u**4 - 9*u + r + 1 + 9*u**3 - 7*u**d - 4 + 0*u.
(u - 1)*(u + 1)**2*(8*u + 1)
Let z = 8893455033/1232 - 7218715. Let u = -5/112 - z. Suppose -2/11*k**2 + u - 14/11*k = 0. Calculate k.
-8, 1
Let l(b) be the second derivative of b**5/450 + b**4/30 - 39*b**2 + 4*b + 4. Let a(c) be the first derivative of l(c). Factor a(n).
2*n*(n + 6)/15
Let j = 54 + -50. Find i, given that 3*i - j + 27*i**2 - 12*i**2 - 14*i = 0.
-4/15, 1
Let s = -55476 - -166438/3. Let 8/9*n - 32/3 + 8*n**2 - s*n**3 + 2/9*n**4 = 0. What is n?
-1, 2, 12
Let s = 343 - 337. Let a be s + 4 - (-32)/(-8). Determine q, given that -6*q**4 + a*q**3 + 3/2*q**5 + 3 + 3*q**2 - 15/2*q = 0.
-1, 1, 2
Let r(h) be the first derivative of 16 - 12*h + 9/2*h**2 + h**3. Determine k, given that r(k) = 0.
-4, 1
Let u be (-7258)/2674 - -1*(-1 - -4). Let l = -580 + 4068/7. Solve -l - 18/7*g**2 + u*g**4 - 2/7*g**3 - 22/7*g = 0.
-1, 4
Solve 408/5*p - 202/5*p**3 + 0 + 208/5*p**2 - 2/5*p**4 = 0.
-102, -1, 0, 2
Let u(c) = -72*c**3 + 2*c**2 + c - 2. Let t be u(-1). Suppose -t - 24*f - 264*f**4 + 215 - 618*f**3 - 548*f**2 - 2*f**5 - 38*f**5 = 0. What is f?
-2, -3/2, 2/5
Suppose 5*b = -2*q + 19, -5*b + 8*q = 12*q - 13. Solve 46*y**3 - 12*y**4 + 3*y - 71*y**3 + 34*y**3 + 12*y**2 - 12*y**b = 0.
-1, -1/2, 0, 1
Let z(w) = -8*w**2 - 816*w + 83277. Let v(n) = 3*n**2 + 408*n - 41634. Let y(f) = -5*v(f) - 2*z(f). Factor y(d).
(d - 204)**2
Let a(c) be the third derivative of -1/60*c**4 - 11*c**2 + 1/600*c**5 + 0 + 1/15*c**3 + c. What is g in a(g) = 0?
2
Let p(r) be the first derivative of 1/3*r**4 + 29 - 2/3*r**2 + 4*r - 4/3*r**3. Solve p(c) = 0.
-1, 1, 3
Suppose 55/3*b - 56 + 1/9*b**2 = 0. Calculate b.
-168, 3
Let g(a) be the third derivative of a**8/1344 + 3*a**7/35 + 249*a**6/80 + 1783*a**5/60 + 3355*a**4/32 + 363*a**3/2 - 1623*a**2. Solve g(j) = 0.
-33, -4, -1
Determine s, given that -64*s**3 - 142*s**2 - 80*s - 42*s**3 + 731*s**4 - 715*s**4 + 61*s**3 + s**5 - 2*s**5 = 0.
-1, 0, 8, 10
Let n = 156 - 144. Let 3*x**3 + 31*x + 12*x**2 - n*x - 24 + 6 - 16*x = 0. Calculate x.
-3, -2, 1
Let q be (-90)/(-30) + (1964/88 - (-8)/44). Let a(j) be the first derivative of 37 - 12*j + q*j**2 - 4*j**3. Suppose a(i) = 0. What is i?
1/4, 4
Let c(m) be the second derivative of m**7/14 - 11*m**6/10 + 117*m**5/20 - 49*m**4/4 + 10*m**3 - 148*m. Factor c(n).
3*n*(n - 5)*(n - 4)*(n - 1)**2
Find l such that -5776 - 305/4*l**2 - 5852*l - 1/4*l**3 = 0.
-152, -1
Let p(j) be the third derivative of -6859*j**7/105 + 9025*j**6/6 - 2356*j**5/5 + 371*j**4/6 - 13*j**3/3 - 8460*j**2. Factor p(k).
-2*(k - 13)*(19*k - 1)**3
Let d be (-112)/(-18) + (-1 - ((-24)/(-4) - 1)). Determine k, given that 0 - 8/9*k - 2/3*k**3 + d*k**5 + 4/9*k**4 - 16/9*k**2 = 0.
-2, -1, 0, 2
Suppose -4*k + 16 + 4 = 0, -6*b + 4*k = 896. Let a be (-365)/b + (-2)/1. Factor -2*c**2 - 2*c**4 - 1/2*c**5 - a*c - 3*c**3 + 0.
-c*(c + 1)**4/2
Let c(b) be the first derivative of 2 + 28*b**2 - 4/3*b**3 - 196*b. Solve c(r) = 0.
7
Let h(w) be the third derivative of 1/270*w**5 + 0*w**4 - 44*w**2 + 0*w - 4/27*w**3 + 0. Solve h(y) = 0 for y.
-2, 2
Factor -13*u**2 - 2729*u - 17*u**2 + 34*u**2 - 4076*u + 477*u + 2502724.
4*(u - 791)**2
Let o(p) be the third derivative of p**6/24 + 3*p**5/4 - 25*p**4/3 - 40*p**3 + 3*p**2 + 257*p - 1. Determine f so that o(f) = 0.
-12, -1, 4
Suppose -187*c + 186*c + 277 = 0. Let b = 279 - c. Factor 1/2*m**b + 0 - 1/6*m**3 - 1/3*m.
-m*(m - 2)*(m - 1)/6
Let h be 1/6 + 20/96*-11. Let k = h + 5/2. Factor k*v**2 - 21/8*v + 0.
3*v*(v - 7)/8
Let u = -3864 + 3864. Let w(v) be the second derivative of 0 + 0*v**2 + 15*v + 1/66*v**4 + 1/110*v**5 - 1/231*v**7 - 1/165*v**6 + u*v**3. Factor w(c).
-2*c**2*(c - 1)*(c + 1)**2/11
Let d be 5 - (4*6/(-12) - -3)*3. Let p(c) be the third derivative of 0*c + 3*c**3 + 8/15*c**5 + 0 - d*c**4 + 13*c**2. Find x, given that p(x) = 0.
3/4
Factor -630 - 5708*w + 11574*w - 5*w**2 - 5731*w.
-5*(w - 21)*(w - 6)
Let m(u) = 80*u**2 - 9111*u - 2079378. Let l(q) = 35*q**2 - 4556*q - 1039688. Let w(t) = -9*l(t) + 4*m(t). Factor w(b).
5*(b + 456)**2
Let o(m) = -7*m**3 + 140*m**2 + 7*m - 144. Let f(j) = 27*j**3 - 558*j**2 - 27*j + 573. Let s(k) = -4*f(k) - 15*o(k). Factor s(w).
-3*(w - 44)*(w - 1)*(w + 1)
Let j(w) be the second derivative of w**4/84 + 739*w**3/21 + 546121*w**2/14 - 1374*w. Factor j(g).
(g + 739)**2/7
Let a(h) = -5*h**2 + 219*h + 4293. Let c(u) = 15*u**2 - 660*u - 12885. Let p(x) = -10*a(x) - 3*c(x). Factor p(n).
5*(n - 57)*(n + 15)
Let l be 2*(-6)/36 + (-12)/(-9). Let x(y) = y**2 - y + 1. Let m(p) = -8*p**2 + 53*p + 46. Let j(k) = l*m(k) + 5*x(k). Factor j(v).
-3*(v - 17)*(v + 1)
Let r = 4042087/6 - 673675. Let 2/3 + 38/3*z + r*z**2 = 0. Calculate z.
-2, -2/37
Let o(c) = 100*c**5 - 160*c**4 + 405*c**3 + 125*c**2 - 430*c. Let m(d) = 11*d**5 - 18*d**4 + 45*d**3 + 14*d**2 - 48*d. Let j(n) = 55*m(n) - 6*o(n). Factor j(a).
5*a*(a - 3)*(a - 2)**2*(a + 1)
Let h(m) be the first derivative of -7*m**5 - 365*m**4/4 - 815*m**3/3 + 765*m**2/2 + 450*m - 1448. Solve h(d) = 0 for d.
-6, -5, -3/7, 1
Let p(q) be the third derivative of q**6/24 + q**5 + 55*q**4/24 - 4831*q**2. Find f such that p(f) = 0.
-11, -1, 0
Let f(l) = -10*l**2 + 76*l - 107. Let c be f(2). What is m in 0 - 8/5*m**4 + 2/15*m**3 + 8/15*m + 8/5*m**2 - 2/3*m**c = 0?
-2, -1, -2/5, 0, 1
Let c(u) be the third derivative of -u**8/4032 - u**7/336 + u**6/8 - 83*u**5/30 + 105*u**2. Let r(w) be the third derivative of c(w). Factor r(t).
-5*(t - 3)*(t + 6)
Let r(y) be the first derivative of -11*y**3 - 2*y**3 + 302*y + 320*y**2 + 178*y - 182 + 9*y**3 - 48*y. Factor r(m).
-4*(m - 54)*(3*m + 2)
Let h = -475/186 + 377/93. Factor h*g - 1 + 1/2*g**2 + 1/2*g**4 - 3/2*g**3.
(g - 2)*(g - 1)**2*(g + 1)/2
Let h(v) be the second derivative of -1/6*v**5 + 1/24*v**6 - 35/24*v**4 + 0 - 10/3*v**3 - v**2 + 24*v. Let d(w) be the first derivative of h(w). Factor d(y).
5*(y - 4)*(y + 1)**2
Let v(o) be the second derivative of -26*o + 2/5*o**5 + 8*o**2 + 26/3*o**3 + 11/3*o**4 + 0. Factor v(j).
4*(j + 1)*(j + 4)*(2*j + 1)
Suppose 2 = v - 4*g, 4*v - 2*g + 0*g = 22. Suppose 2*l - v = -2. Factor l*z**3 - 4*z**2 + 4*z**2 - z + z**5 + 2*z**2 - 1 - z**4 - 2*z**5.
-(z - 1)**2*(z + 1)**3
Let w be (-3*12/54)/(4/