be ((-13)/(-2) + -5)*(-4)/(-4 + 2). Let a(i) be the second derivative of 1/42*i**4 - 12*i + 0 + 2/7*i**2 + 1/7*i**t. Factor a(n).
2*(n + 1)*(n + 2)/7
Determine s, given that 6917*s**2 + 2221034*s - 199*s**3 + 397*s**3 - 194*s**3 - 785*s**2 - 2353156 + 125986*s = 0.
-767, 1
Let y(h) be the first derivative of 0*h - 1/72*h**5 + 17 + 1/1080*h**6 + 6*h**3 + 0*h**2 + 1/12*h**4. Let v(b) be the third derivative of y(b). Solve v(o) = 0.
2, 3
Let y(a) = 2*a**2 + 24*a + 56. Let l be y(-9). Factor -66*u**2 - 5*u**4 - 9*u**l - 24836*u + 24871*u + 45*u**3.
-5*u*(u - 7)*(u - 1)**2
Let t(u) be the second derivative of -u**7/210 + 7*u**5/30 + u**4 - u**3/2 - u - 4. Let z(i) be the second derivative of t(i). Factor z(x).
-4*(x - 3)*(x + 1)*(x + 2)
Let p be (19 + 18417/(-924) - 2/(-11))/(-1). Factor -1/2*c - p*c**2 + 0.
-c*(3*c + 2)/4
Let r be 42*(-324)/(-882) - (-21)/(-49) - 13. Factor 3/5*z**r + 2523/5 - 174/5*z.
3*(z - 29)**2/5
Let b(o) be the second derivative of -o**5/70 - 5*o**4/21 - 16*o**3/21 - 2*o - 15. Suppose b(x) = 0. Calculate x.
-8, -2, 0
Let m(d) = -2*d**3 + d + 1. Let a(h) = -7*h**3 - 7*h**2 - 5*h + 19. Let l(x) = -2*x**3 - 3*x + 2. Let z be l(1). Let k(o) = z*m(o) + a(o). Solve k(n) = 0 for n.
-4, 1
Solve 1600/7 + 4/7*f**5 - 436/7*f**3 - 256*f**2 + 192/7*f**4 + 432/7*f = 0.
-50, -2, -1, 1, 4
Let v(y) be the third derivative of -y**5/20 - 281*y**4/4 - 560*y**3 - 7977*y**2 + 1. Factor v(t).
-3*(t + 2)*(t + 560)
Let o = -306 + 551. Let b = -242 + o. Determine c so that 3/4*c**b + 0 - 3/4*c**2 - 3/4*c + 3/4*c**4 = 0.
-1, 0, 1
Let i = 19 - 83. Let w = -18 - i. Factor 99*t**2 + 72 - w*t**2 - 3*t**3 - 17*t**3 + 120*t - 27*t**2 + 2*t**4.
2*(t - 6)**2*(t + 1)**2
Let t(w) be the first derivative of -3*w**5/10 - 27*w**4/8 - 13*w**3 - 18*w**2 - 2290. Determine n so that t(n) = 0.
-4, -3, -2, 0
Suppose -4/9*w**2 - 20*w + 184/9 = 0. What is w?
-46, 1
Let g(k) be the first derivative of -7/8*k**4 + 10 - 3*k**3 + 0*k + 5*k**2 - 1/20*k**5. Let j(l) be the second derivative of g(l). Factor j(y).
-3*(y + 1)*(y + 6)
Let l be (18/(-10) + 2)/((-4)/(-10)). Suppose 67 = 46*y - 25. Factor l*r**y + 72 + 12*r.
(r + 12)**2/2
Suppose m + 3*f = f + 8, 15 = 5*f. Factor -26*s**3 + 107*s**m + s**4 - 52*s**2 + 26*s - 3*s**4 - 53*s**2.
-2*s*(s - 1)*(s + 1)*(s + 13)
Let h(w) be the first derivative of w**6/39 + 12*w**5/65 + 7*w**4/26 - 12*w**3/13 - 44*w**2/13 - 48*w/13 + 5004. Let h(x) = 0. Calculate x.
-3, -2, -1, 2
Let s be ((-44)/(-1254)*19 - 2/6)*6. Factor 63/2*n**s - 46*n - 8*n**3 + 22 + 1/2*n**4.
(n - 11)*(n - 2)**2*(n - 1)/2
Let l = -4207/6 - -21053/30. Let n(y) be the third derivative of -3/20*y**6 + 1/70*y**7 + l*y**5 + 0*y + 0 + 0*y**3 - y**4 + 22*y**2. Factor n(s).
3*s*(s - 2)**3
Factor 5984*a + 266/3*a**2 + 1/3*a**3 + 11616.
(a + 2)*(a + 132)**2/3
Let v = 32 - -76. Let m = 109 - v. What is y in 220*y**5 - m + y**3 + 1 - 221*y**5 = 0?
-1, 0, 1
Let c be (7/(-2) + (-234)/(-39))*2. Let v(j) be the second derivative of -8/9*j**3 + 1/9*j**4 + 0 + 32/9*j**2 - 1/180*j**c - 3*j. Factor v(q).
-(q - 4)**3/9
Let c(y) be the first derivative of -35*y**4/4 + 725*y**3/9 + 980*y**2/3 + 60*y + 1004. Find x, given that c(x) = 0.
-2, -2/21, 9
Factor 12/7*a - 3/7*a**3 - 1/7*a**4 + 2*a**2 - 40/7.
-(a - 2)**2*(a + 2)*(a + 5)/7
Let f(s) be the third derivative of -7*s**6/90 + 101*s**5/10 - 43*s**4/3 - 203*s**3/6 - 182*s**2. Let w(n) be the first derivative of f(n). Factor w(x).
-4*(x - 43)*(7*x - 2)
Let q(l) = -l**2 + 3 + 5*l + 5 + 25*l - 8. Let o be q(0). Factor -8/13*a**3 + 2/13*a**4 + 6/13*a**2 + 0*a + o.
2*a**2*(a - 3)*(a - 1)/13
Let -206730 + 41427 - 464445 + 9896*r**3 + 4*r**5 + 138*r**4 - 256*r**4 - 136584*r**2 - 206*r**4 + 756756*r = 0. What is r?
1, 17, 21
Let c(t) be the second derivative of -t**7/42 - 487*t**6/30 - 14762*t**5/5 + 14884*t**4/3 - 6218*t. Factor c(v).
-v**2*(v - 1)*(v + 244)**2
Suppose 112*y + 956*y**2 - 16*y**3 + 18 + 143 - 976*y**2 + 15 = 0. What is y?
-2, 11/4
Let t = 6973/22 - 13935/44. Find f, given that -13/2*f**2 + 98 - t*f**3 - 35*f = 0.
-14, 2
Suppose 0 = j + 7*j - 104. Suppose -2*y - 2*m = -14, 4*y - 18*m + j*m = 1. Suppose 0*l**2 + 0 + y*l**3 - 1/4*l = 0. What is l?
-1/4, 0, 1/4
Let z(k) be the first derivative of -k**4/18 - 94*k**3/27 + 67*k**2/3 - 34*k - 1154. Find n such that z(n) = 0.
-51, 1, 3
Suppose -123*y = -241 - 85 - 166. Let a(h) be the first derivative of -3*h - 3/25*h**5 + 46 + 24/5*h**2 + 6/5*h**y - 18/5*h**3. Factor a(s).
-3*(s - 5)*(s - 1)**3/5
Let v(z) = -2*z**3 + 15*z**2 + 667*z - 4715. Let f be v(7). Solve -704/15*g**2 + 16/15*g**4 + 32/15*g**5 - 32/15 - 382/15*g**f - 56/3*g = 0.
-2, -1/4, 4
Let i(r) = r**3 + 11*r**2 - 9*r + 12. Let t be i(-12). Let y be 13/3 + 32/t. Factor -2*o**y + 3*o**3 + 2*o - 4*o**3 + o**3 - 2*o**4 + 2*o**2.
-2*o*(o - 1)*(o + 1)**2
Let p be ((-8)/10)/((9 + (-275)/33)/(-5)). Let r(h) be the second derivative of 6*h + 9/20*h**5 + 0 + 1/10*h**p + 0*h**4 - 2*h**3 + 0*h**2. Factor r(u).
3*u*(u - 1)*(u + 2)**2
Let -469*y**4 + 461*y**4 + 13*y**4 + 300*y**3 - 305*y**2 = 0. What is y?
-61, 0, 1
Let d(u) = 8*u**2 - 3*u. Suppose -8*i + 11*i + 6 = 0. Let j be d(i). Factor 84*k**3 - 6*k**2 + 2*k**4 - 6*k - 48*k**3 - 4*k**2 - j*k**3.
2*k*(k - 3)*(k + 1)**2
Suppose 214/5*s**3 + 2/5*s**4 - 646/5*s - 6/5*s**2 - 428/5 = 0. Calculate s.
-107, -1, 2
Let k(s) be the second derivative of 0 + 5*s + 33*s**2 - 1/6*s**4 - 8/3*s**3. Factor k(g).
-2*(g - 3)*(g + 11)
Factor -105/2*g**2 - 175*g + 5/2*g**3 - 120.
5*(g - 24)*(g + 1)*(g + 2)/2
Suppose 490*q - 300*q = -372*q + 1124. Factor -1/6*p**3 + 2/3 - 1/6*p**q + 2/3*p.
-(p - 2)*(p + 1)*(p + 2)/6
Suppose -126 = 5*v - 12*v. Solve v*z**2 + 75*z - 22*z**2 + 39 + 9*z**2 + 31 = 0.
-14, -1
Let x(k) = -k**3 + 39*k**2 - 36*k - 4. Let d be x(38). Let 2*s**4 + 35*s**5 - 4*s**2 - d*s**5 - 9*s**3 + 12*s - 2*s**4 + 38*s**5 = 0. What is s?
-2, 0, 1, 3
Suppose -157*t + 2272 = 32*t - 47*t. Let i(s) be the first derivative of -t + s - 3/8*s**4 + 3/4*s**2 - 1/10*s**5 - 1/6*s**3. Factor i(a).
-(a - 1)*(a + 1)**2*(a + 2)/2
Suppose -12*l - 26 + 2 = 0. Let a be ((16/10)/4)/(l/(-5)). Find b, given that -12*b - 12*b**3 + 18*b**2 + 2 - a + 3*b**4 + 2 = 0.
1
Let u(h) be the first derivative of h**5/5 + 5*h**4/3 - 26*h**3/3 + 14*h**2 + 22*h - 35. Let n(s) be the first derivative of u(s). What is t in n(t) = 0?
-7, 1
Factor -118*u + 904*u**3 + 13*u**2 + 3*u**4 - 92*u + 20*u**2 - 874*u**3.
3*u*(u - 2)*(u + 5)*(u + 7)
Let v(t) = -30 + t**2 + t - 18 + 46. Let g(l) = -9*l + 9. Let y(r) = -3*g(r) - 3*v(r). Factor y(k).
-3*(k - 7)*(k - 1)
Solve -346*a + 12*a**3 - 37*a**4 + 15*a**4 + 19*a**4 - 87*a**2 + 18*a**3 + 406*a = 0.
0, 1, 4, 5
Suppose 4*b - 12 = -0. Suppose -l**3 - 3*l**3 - 4*l**b - 2*l**5 - 4 + 10*l - 22*l**2 + 18*l**2 + 8*l**4 = 0. What is l?
-1, 1, 2
Let o(q) be the first derivative of q**3 - 1335*q**2/2 + 131. Factor o(x).
3*x*(x - 445)
Let m(b) be the first derivative of -3*b**5/100 + 6*b**4/5 - 72*b**3/5 - 71*b + 59. Let k(o) be the first derivative of m(o). Factor k(w).
-3*w*(w - 12)**2/5
Let k(u) = -25*u**4 + 335*u**3 - 240*u**2 - 245*u + 235. Let i(f) = -13*f**4 + 170*f**3 - 120*f**2 - 122*f + 117. Let x(b) = -15*i(b) + 8*k(b). Factor x(g).
-5*(g - 25)*(g - 1)**2*(g + 1)
Let v(h) = 2*h**2 + 2*h + 3. Let g(y) = 320*y**2 - 2*y + 3. Let o(c) = 2*g(c) - 2*v(c). Factor o(w).
4*w*(159*w - 2)
Let f(o) = -o + 30. Let u = 60 + -34. Let k be f(u). Factor -j - 3*j**2 + 3*j + 6250 + j**k - 6250.
j*(j - 1)**2*(j + 2)
Suppose 65*b**2 + 135*b**2 - 199*b**2 - 1552*b + 602176 = 0. What is b?
776
Let i(c) be the third derivative of -c**5/270 + 95*c**4/54 + 191*c**3/27 - 928*c**2. Suppose i(k) = 0. What is k?
-1, 191
Let v(z) be the first derivative of z**2 + 0*z + 3/4*z**4 + 60 - 5/3*z**3. Factor v(j).
j*(j - 1)*(3*j - 2)
Suppose 4*l - 1110 = 14*l. Let z = -109 - l. Factor -11/8*o**3 + 9/2*o - 1/4*o**4 + 0 + 1/8*o**5 + 3/2*o**z.
o*(o - 3)**2*(o + 2)**2/8
Factor -483/2*m**2 - 961/2 - 49/2*m**3 - 1395/2*m.
-(m + 1)*(7*m + 31)**2/2
Suppose 1222/7*q - 1/7*q**2 - 373321/7 = 0. Calculate q.
611
Suppose 7*k + 13 - 34 = 0. Determine w so that 9*w**2 + 5*w**3 + 5*w**2 - 388 - 2*w**4 + w**k - 30*w + 352 = 0.
-2, -1, 3
Let d(f) be the first derivative of -27*f + 0*f**2 - 1/12*f**4 + 2/3*f**3 + 23. Let b(l) be the first derivative of