4*o**4 + 0*o**3 + 0*o + 2*o**2 - 2/5*o**6 - 30 + 1/70*o**7 + 29/20*o**5. Factor q(a).
3*a*(a - 14)*(a - 1)**2
Solve 4038 + 129358*g + 231186 - 1291*g**2 - 14122*g + 3*g**3 + 109*g**2 = 0.
-2, 198
Suppose l + 10 = -3*c, 9 = 2*l - c + 1. Factor l*n**3 + 21 + 53*n**2 + 15*n**4 - 61*n**3 - 78*n + 55*n**2 - 7*n**3.
3*(n - 1)**3*(5*n - 7)
Let y = 927 + -921. Suppose -21*g + y*g = 0. Factor 1/5*n**2 + g - 1/5*n.
n*(n - 1)/5
Factor -443/3*a**2 - 445/3 + 1/3*a**3 - 889/3*a.
(a - 445)*(a + 1)**2/3
Let m(f) be the second derivative of f**7/21 - f**6/5 - 2*f**5 + 8*f**4 + 64*f**3/3 - 80*f - 6. Factor m(g).
2*g*(g - 4)**2*(g + 1)*(g + 4)
Suppose -8 = m - 4*i + 7*i, 5*m - i - 24 = 0. Let y be (((-42)/m)/(-21))/(3/2). Let -5/6*k + 1/6*k**5 - 2/3*k**4 + y + 1/3*k**2 + 2/3*k**3 = 0. Calculate k.
-1, 1, 2
Let u(f) be the second derivative of f**6/105 + f**5/10 - f**4/14 - 55*f**3/21 + 50*f**2/7 + 17*f + 8. Factor u(t).
2*(t - 2)*(t - 1)*(t + 5)**2/7
Let o(n) be the first derivative of 108/5*n**3 + 13 + 288/5*n**2 - 192/5*n + 21/10*n**4. Factor o(m).
6*(m + 4)**2*(7*m - 2)/5
Let d(x) be the first derivative of -2*x**3/69 - 26*x**2/23 + 310*x/23 + 77. Factor d(u).
-2*(u - 5)*(u + 31)/23
Let x(s) = 9*s + 146. Let h be x(-16). Let w = 43 + -27. Factor -10*a**2 + 3 + 5*a + w*a**h - 2*a - a**4 + 5*a.
-(a - 3)*(a + 1)**3
Let x(h) = -h**4 - 13*h**3 - 31*h**2 - h + 56. Let c(u) = 3*u**4 + 40*u**3 + 92*u**2 - u - 169. Let w(s) = 2*c(s) + 7*x(s). Let w(i) = 0. Calculate i.
-6, -3, 1
Let x be (-8)/(-3)*(-12 + 5709/(-44)). Let q = -378 - x. Let -1/6*b**2 + 0*b - 1/6*b**4 + q - 1/3*b**3 = 0. What is b?
-1, 0
Let z(k) be the third derivative of -k**6/40 - 141*k**5/20 - 279*k**4/8 - 139*k**3/2 + 13*k**2 - 4*k. Factor z(w).
-3*(w + 1)**2*(w + 139)
Suppose -12/7 - 30/7*n**2 + 6*n**4 - 50/7*n**3 + 58/7*n - 8/7*n**5 = 0. Calculate n.
-1, 1/4, 1, 2, 3
Let z = -22755/4 + 4348. Let q = z + 1341. Factor 0 - q*v**2 + 1/2*v**3 - 1/4*v**4 + 0*v.
-v**2*(v - 1)**2/4
Let 71/2*b**2 + 69/2*b - 69/2*b**3 - 1/2*b**4 - 35 = 0. What is b?
-70, -1, 1
Suppose 9*j = 6*j - 5*x - 5056, -4*j - 3*x - 6723 = 0. Let c = 3357/2 + j. Factor c*o**4 + 3/4*o**5 + 0*o + 0*o**2 + 0 + 3/4*o**3.
3*o**3*(o + 1)**2/4
Find b, given that 19*b + 10*b**2 + b**3 - 18*b**2 + 75*b - 24*b**2 + 114*b - 384 = 0.
4, 24
Let r(j) = -j**2 - 89*j + 124. Let g(w) = w**2 + 111*w - 122. Let p(x) = -4*g(x) - 5*r(x). Suppose p(t) = 0. Calculate t.
-12, 11
Find g such that -8575*g - 1446/7*g**3 - 88/7*g**4 + 0 + 3080*g**2 - 1/7*g**5 = 0.
-49, 0, 5
Let x be 128/21 - (-14)/(-147). Let d(l) = l**3 - 5*l**2 - 3*l - 15. Let b be d(x). Let 6/7 - 20/7*j + 24/7*j**2 + 2/7*j**4 - 12/7*j**b = 0. What is j?
1, 3
Let x(d) be the third derivative of 39*d**5/50 - 113*d**4/20 - 12*d**3/5 + 2479*d**2 - 1. Factor x(h).
6*(h - 3)*(39*h + 4)/5
Factor -118*k - 19*k**2 - 15*k**2 + 41*k**2 - 816 + 2*k - 11*k**2.
-4*(k + 12)*(k + 17)
Let v(h) be the first derivative of 2*h**3/63 - 313*h**2/21 + 208*h/7 + 9070. Factor v(n).
2*(n - 312)*(n - 1)/21
Let c(i) = -16*i - 19 - 4*i**3 + i**4 - 4 - 7*i**2 + 12 - 15*i**2. Let b(t) = -t**2 + t - 1. Let m(u) = 4*b(u) - c(u). Factor m(f).
-(f - 7)*(f + 1)**3
Let d be 88 - (-82 - -159) - (7 - 1). Factor -2*q**3 + 77/3*q + 1/3*q**d - 52/3*q**2 - 10 + 10/3*q**4.
(q - 1)**3*(q + 3)*(q + 10)/3
Let c(s) be the third derivative of s**7/210 + 7*s**6/60 + 29*s**5/60 - 11*s**4/6 - 1205*s**2. Factor c(l).
l*(l - 1)*(l + 4)*(l + 11)
Let w(s) be the second derivative of -s**7/14 + 15*s**6/2 - 1683*s**5/10 - 5273*s**4/2 - 24477*s**3/2 - 45387*s**2/2 - 2215*s. Let w(y) = 0. Calculate y.
-3, -1, 41
Let g(s) be the third derivative of s**6/96 - 67*s**5/240 - 157*s**4/48 + 17*s**3/3 - 1325*s**2. Solve g(r) = 0.
-4, 2/5, 17
Let h(p) = 18*p - 448. Let q be h(25). Let u(v) be the second derivative of 7/4*v**5 + 0*v**q - 28*v + 15/2*v**3 + 0 - 25/4*v**4 - 1/6*v**6. Factor u(s).
-5*s*(s - 3)**2*(s - 1)
Suppose 23*k + 522 = -6*k. Let h be (28/(-24))/((-3)/k) - -12. What is d in -3/7 + 6/7*d**2 - 6/7*d**3 + 3/7*d**h + 3/7*d - 3/7*d**4 = 0?
-1, 1
Let j(n) = n + 12. Let q be 0/(-2)*1/(-2 + 0). Let t be j(q). Determine z so that -12 + 4*z**2 - 4 + 0*z**2 + t*z = 0.
-4, 1
Suppose 5*w - 4*g = 2*w - 6, -3*w = -5*g + 9. Factor -3*b + 11*b - 3*b**3 + b**3 + 8*b**w - 20 + 6*b.
-2*(b - 5)*(b - 1)*(b + 2)
Let -8/5*b**4 + 342/5*b**2 - 567/5*b + 297/5 - 52/5*b**3 = 0. What is b?
-11, 3/2
Let b(r) be the first derivative of 338*r**2 - 260*r**3 + 0*r - 4/5*r**5 - 91 + 27*r**4. Let b(p) = 0. Calculate p.
0, 1, 13
Let 112*y**4 - 566 + 566 + 1152*y**2 - 648*y**3 - 10*y**5 - 512*y + 4*y**5 = 0. Calculate y.
0, 2/3, 2, 8
Let l(v) be the third derivative of 5/84*v**8 - 66*v**2 + 0 - 1/6*v**6 - 1/12*v**5 + 0*v**4 + 1/42*v**7 + 0*v**3 + 0*v. Solve l(h) = 0.
-1, -1/4, 0, 1
Let o(w) be the third derivative of 1/6*w**3 - 1/840*w**7 - 1/80*w**5 + 0 - 60*w**2 - 1/24*w**4 + 0*w + 1/120*w**6. Let o(i) = 0. Calculate i.
-1, 1, 2
Suppose 159*c + 36*c - 772 = 8. Let x(s) be the third derivative of 1/330*s**5 + 0 - 3*s**2 + 4/33*s**3 + 0*s - 5/132*s**c. Factor x(o).
2*(o - 4)*(o - 1)/11
Let i(g) be the first derivative of g**3/15 + 888*g**2/5 + 788544*g/5 - 1578. Solve i(l) = 0.
-888
Suppose -72*o - 2964 = -84*o. Find a, given that -o*a + 251*a + 2*a**2 + 13 - 11 = 0.
-1
Suppose 122*g - 783 - 5049 = -202*g. Let l(i) be the first derivative of 21*i**4 + 8/5*i**5 - 100*i + 236/3*i**3 + 30*i**2 - g. Factor l(w).
4*(w + 1)*(w + 5)**2*(2*w - 1)
Let n(s) be the second derivative of -s**4/12 + 44*s**3/3 - 86*s**2 + 8*s + 393. Suppose n(i) = 0. Calculate i.
2, 86
Let z(p) = -p**3 + 65*p**2 - 713*p - 49. Let j be z(51). Factor 28/9*a - 40/9 - 4/9*a**j.
-4*(a - 5)*(a - 2)/9
Let y(m) be the first derivative of -4*m**3/3 + 47*m**2/2 - 33*m - 239. Let c be y(11). Factor 11/9*s**2 + c + 2/9*s.
s*(11*s + 2)/9
Factor 18 - 39/4*u**2 + 15/2*u + 3/4*u**3.
3*(u - 12)*(u - 2)*(u + 1)/4
Factor 179/5*d + 0 - 1/5*d**2.
-d*(d - 179)/5
Let y be 110/(-130) - 4/26 - -1. Let u be 5/10*((y - 1) + 11). Determine a so that -a**u + 5*a**4 - 9*a**3 + 0*a**3 - 15*a**2 + 22*a**2 - 2*a = 0.
0, 1, 2
Suppose 2907*l + 26 = 2920*l. Suppose 1/2*t**l - 21/2*t + 10 = 0. Calculate t.
1, 20
Let o(q) = -q**3 + 34*q + 33 - 83*q + 44*q + q**2. Let s be o(3). Determine c, given that -2/5*c**3 + s*c**2 + 6/5*c - 4/5 = 0.
-2, 1
Let t(x) be the first derivative of x**7/210 + x**6/24 + x**5/15 + 2*x**2 + x - 90. Let m(p) be the second derivative of t(p). Factor m(i).
i**2*(i + 1)*(i + 4)
Find j, given that -368/5*j**3 + 288/5*j + 464/5*j**2 + 2/5*j**5 - 608/5 + 66/5*j**4 = 0.
-38, -1, 2
Let n be (-5)/5*3*-1. Factor 51 - 15*w**2 - 26 + 5*w**n - 25 + 10*w.
5*w*(w - 2)*(w - 1)
Let o(f) be the third derivative of -f**7/840 - f**6/30 - 13*f**5/40 - 3*f**4/2 - 27*f**3/8 - 91*f**2 - 2*f. Solve o(a) = 0.
-9, -3, -1
Let c(z) be the second derivative of z**4/32 + 111*z**3/4 + 36963*z**2/4 - 1323*z. Factor c(n).
3*(n + 222)**2/8
Let b = 12 - 15. Let m be b/1*60/(-18) - -4. What is q in 265 + 2*q**4 - m*q**5 - 70*q**4 - 220*q**2 - 20*q**4 - 104*q - 206*q**3 - 281 = 0?
-2, -1, -2/7
Factor -159/4*x**2 + 3/4*x + 159/4 - 3/4*x**3.
-3*(x - 1)*(x + 1)*(x + 53)/4
Let o(n) be the first derivative of -4*n**3/9 + 4*n**2/3 + 140*n/3 + 1293. What is q in o(q) = 0?
-5, 7
Factor 0 + 3201/8*b + 3/8*b**2.
3*b*(b + 1067)/8
Let r(k) be the first derivative of 4*k**3/7 + 101*k**2/7 + 160*k/7 + 10746. Factor r(d).
2*(d + 16)*(6*d + 5)/7
Suppose -2*v = -2*r - 12, 0 = -2*v + 4*r - 3544 + 3562. Let 0 - 8/3*z**2 + 2/9*z**v + 8*z = 0. Calculate z.
0, 6
Factor 0*o + 32/5*o**4 + 0*o**2 + 1/5*o**5 + 0 + 31/5*o**3.
o**3*(o + 1)*(o + 31)/5
Let 32*t + 3*t**4 + t**5 - 8*t**3 - 16*t + 2*t**2 + 0*t**4 - 14*t**2 = 0. Calculate t.
-4, -2, 0, 1, 2
Let a be ((-22)/14*3)/(48 - 49). Let s(f) = 2*f**2 - 11*f + 30. Let b be s(3). Suppose a*k**4 + 18/7*k**2 - b*k**3 - 24/7 + 132/7*k = 0. What is k?
-1, 2/11, 2
Let y(b) be the third derivative of 0*b**3 + 0*b**5 + 0 + 0*b**4 - 1/1260*b**7 - b + 23*b**2 + 1/120*b**6. Factor y(s).
-s**3*(s - 6)/6
Let v(s) be the first derivative of -10/3*s**3 + 5/2*s**2 + 1/6*s**6 - s + 5/2*s**4 - s**5 + 23. Determine g so that v(g) = 0.
1
Let m be (68/(-51))/(11/9). Let g = -13/22 - m. Factor -3/2*l - 3/2*l**2 - 1/2*l**3 - g.
-(l + 1)**3/2
Factor -290