 second derivative of 2*b**6/45 - 67*b**5/30 - 89*b**4/9 - 8*b**3 - 1068*b + 1. Determine y, given that m(y) = 0.
-2, -1/2, 0, 36
Let a = 804094/2814525 + 8/402075. Let o = -12946/7 - -1854. Suppose -a*g**4 - 30/7*g**2 - 16/7*g + o + 16/7*g**3 = 0. Calculate g.
-1, 1, 4
Let t = -76939/2 - -230929/6. Factor -784/3 - 1/3*c**2 - t*c.
-(c + 28)**2/3
Suppose 9*y - 9 = 9. Suppose -y*f = 3*i - 1, 5*i + 21 = 3*f + 3*i. Suppose 7/10*h**4 + 9/10*h**f - 1/5*h**3 + 0*h**2 + 0*h + 0 = 0. Calculate h.
-1, 0, 2/9
Factor -246269 - 182668 + 45292 + 2780*b**3 - 389190*b**2 + 530029*b - 5*b**4 + 663622*b - 423591*b.
-5*(b - 277)**2*(b - 1)**2
Let q(r) be the first derivative of 2*r**3/33 + 10*r**2/11 + 32*r/11 + 100. Let q(w) = 0. What is w?
-8, -2
Let v(t) = -t**5 - t**4 + t**2 + t - 1. Let k(b) = 8*b**5 - 8*b**4 - 118*b**3 - 181*b**2 + 110*b + 196. Let f(r) = k(r) + 7*v(r). Find n, given that f(n) = 0.
-3, -1, 1, 21
Let b = -218 + 445/2. Let a be (-48034)/(-10804) - (-1 - 7*15/(-111)). Determine w so that b*w**2 + a + 33/4*w + 3/4*w**3 = 0.
-3, -2, -1
Let b be -12*(-26)/(-3380)*-175 + -16. Factor -4/13*a + b*a**3 + 2/13*a**2 + 0.
2*a*(a - 1)*(a + 2)/13
Let a(x) be the first derivative of x**3/6 - 5*x**2/2 + 9*x/2 - 2560. Factor a(y).
(y - 9)*(y - 1)/2
Factor 0*o + 460/7*o**2 + 132*o**3 + 0 + 4/7*o**5 + 468/7*o**4.
4*o**2*(o + 1)**2*(o + 115)/7
Let s(f) be the first derivative of 25*f**4/6 - 2660*f**3/9 - 1076*f**2/3 - 144*f - 3469. Factor s(d).
2*(d - 54)*(5*d + 2)**2/3
Let f(h) be the second derivative of -2/21*h**3 + 0*h**2 + 144*h + 1/105*h**6 + 1/35*h**5 - 1/42*h**4 + 0. Suppose f(s) = 0. What is s?
-2, -1, 0, 1
Let j be (-99)/(-66) + (21/35)/((-2)/(-17)). Factor 36/5*a + j + 3/5*a**2.
3*(a + 1)*(a + 11)/5
Let v(o) = -o**2 + 16*o - 37. Let j be v(6). Let i = 25 - j. Solve 2/15*y**4 + 0*y + 0 - 2/5*y**3 + 4/15*y**i = 0 for y.
0, 1, 2
Let 0 + 1/4*s**5 + 1/2*s**3 + 5/4*s**4 - 6*s - 5*s**2 = 0. What is s?
-3, -2, 0, 2
Let b(s) = -2*s**3 - s**2 + 1. Let y(r) = 2*r**4 - 22*r**3 + 57*r**2 - 40*r + 1. Let d(a) = -b(a) + y(a). Factor d(h).
2*h*(h - 5)*(h - 4)*(h - 1)
Let d(g) be the second derivative of -4/25*g**5 + 0 - 51*g - 7/10*g**3 + 9/10*g**2 - 14/15*g**4. Factor d(s).
-(s + 3)*(4*s - 1)*(4*s + 3)/5
Let h = -1/4978 - 7335/4978. Let x = 75/38 + h. Factor -s**2 - x*s**3 + 0 + 0*s.
-s**2*(s + 2)/2
Let v(q) = q**3 + q - 1. Let g(l) = -6*l**3 - 34*l**2 + 143*l - 147. Let b(x) = -g(x) - 5*v(x). Determine t, given that b(t) = 0.
-38, 2
Suppose k - f = 13, -k - 35*f + 35 = -38*f. Factor 3/8*y**k - 3 + 3/4*y.
3*(y - 2)*(y + 4)/8
Suppose 31*q**2 - 80 + 171*q + 58*q + 5*q**2 + 52*q**4 - 122*q**3 - 93*q - 6*q**5 = 0. Calculate q.
-1, 2/3, 2, 5
Let y(a) = 2*a**5 + a**4 + a**2 + a - 1. Let z = 172 + -175. Let o(l) = -3*l**5 - l**4 - 2*l**3 - 2*l**2 - 2*l + 2. Let u(t) = z*o(t) - 6*y(t). Factor u(p).
-3*p**3*(p - 1)*(p + 2)
Let b(i) be the third derivative of 0*i**4 + 1/3*i**3 + 0*i - 62*i**2 - 1/30*i**5 + 0. Let b(t) = 0. Calculate t.
-1, 1
Let g be ((-2)/(-3))/(18/135). Suppose -5*l + 20 = 4*s - 0*l, 5*l - 20 = 0. Factor 1/2*r**4 + 1/4*r**g - 1/4*r + 0*r**3 + s - 1/2*r**2.
r*(r - 1)*(r + 1)**3/4
Let n(z) be the second derivative of 5*z**7/168 + 5*z**6/6 + 145*z**5/16 + 375*z**4/8 + 225*z**3/2 + 135*z**2 - 237*z. Let n(r) = 0. What is r?
-6, -1
Let d(i) = -798*i**4 + 88*i**3 + 762*i**2 + 108*i - 46. Let j(f) = -f**4 - f**3 + 22*f - 1. Let h(u) = -d(u) + 6*j(u). Determine t, given that h(t) = 0.
-10/11, -2/9, 1/4, 1
Let t = -77 + 80. Let f be (2 - 0) + (-448)/238. Factor -f*j**t - 6/17*j - 2/17 - 6/17*j**2.
-2*(j + 1)**3/17
Let l(s) = -101*s**2 + 219*s - 4. Let y(m) = -200*m**2 + 441*m - 7. Let h(i) = 5*l(i) - 2*y(i). Factor h(z).
-3*(z - 2)*(35*z - 1)
Let q(y) = 35*y**2 - 25*y - 13. Let x(l) = -8*l**2 + 6*l + 3. Let b(d) = -6*q(d) - 26*x(d). Find j, given that b(j) = 0.
-3, 0
Let t = 12 - 8. Suppose -5*i - 2*l = 25, 2*i + 531 = l + 521. Let g(u) = -4*u**4. Let o(d) = -4*d**4. Let m(b) = i*g(b) + t*o(b). Let m(w) = 0. Calculate w.
0
Let x(b) be the second derivative of -2*b**6/15 - 101*b**5/10 - 209*b**4/3 - 184*b**3/3 + 117*b + 24. What is s in x(s) = 0?
-46, -4, -1/2, 0
Determine z so that 3/2*z**4 - 234*z + 117/2*z**3 + 51*z**2 - 228 = 0.
-38, -2, -1, 2
Suppose -397*u + 432*u - 105 = 0. Let w(j) be the first derivative of -18 - 1/46*j**4 + 2/69*j**u + 1/23*j**2 + 0*j - 2/115*j**5. Factor w(c).
-2*c*(c - 1)*(c + 1)**2/23
Let h be (-26)/195 + 1624/1155. Let g(o) be the first derivative of -147/11*o**2 - h*o**3 - 20 - 686/11*o - 1/22*o**4. Suppose g(n) = 0. Calculate n.
-7
Suppose 5*z + x - 44 = 0, 30 + 10 = 3*z + 4*x. Suppose -3*h**2 + z*h - 675 - 31*h - 60*h - 7*h = 0. Calculate h.
-15
Let f be ((4/140)/((-24)/(-60)))/((-1)/(-32)). Let v(u) = 4*u**2 - 113*u - 85. Let d be v(29). Factor -8/7 + 20/7*r + 4/7*r**3 - f*r**d.
4*(r - 2)*(r - 1)**2/7
Let l(t) = -20*t**2 - 447*t + 4. Let a be l(0). What is i in 14/11*i**2 + 0 + 12/11*i - 2/11*i**5 - 10/11*i**3 - 14/11*i**a = 0?
-6, -1, 0, 1
Let s(d) = -d**4 - d**3 + d**2 - 2*d. Let p(n) = 3*n**5 + 28*n**4 + 18*n**3 - 80*n**2 - 66*n - 20. Let k(c) = 2*p(c) + 18*s(c). Solve k(v) = 0 for v.
-5, -2, -1, -1/3, 2
Find z such that 8/3*z**4 + 158/3*z**2 + 14 - 1/3*z**5 + 24*z**3 + 137/3*z = 0.
-3, -1, 14
Let u(g) be the second derivative of -g**5/5 + 37*g**4/3 - 718*g**3/3 + 646*g**2 - 130*g + 25. Suppose u(j) = 0. What is j?
1, 17, 19
Let p(r) = 2*r**3 + 54*r**2 - 34*r - 11. Let l(q) = -q**3 - 18*q**2 + 11*q + 4. Let g be 1*(-1)/(-2 + (-115)/(-55)). Let t(s) = g*l(s) - 4*p(s). Factor t(i).
3*i*(i - 5)*(i - 1)
Factor -52 - 14/3*b**2 + 194/3*b.
-2*(b - 13)*(7*b - 6)/3
Let c(m) be the second derivative of m**4/12 + 16*m**3/3 + 110*m**2 + 2*m + 104. Let j be c(-10). Solve 8/3*h**4 + 0*h - 8/9*h**3 + 0*h**2 + j + 14/9*h**5 = 0.
-2, 0, 2/7
Solve 3938729 + 16511563 - 27*k**2 - 590047 + 19930*k + 32*k**2 = 0.
-1993
Let f(m) = -60*m**2 - 1150*m - 3085. Let j(p) = 5*p**2 + 96*p + 257. Let r(i) = 2*f(i) + 25*j(i). Factor r(q).
5*(q + 3)*(q + 17)
What is b in 4*b**4 + 5226*b + 4*b**3 - 5218*b - 4*b**2 - 17*b**3 + 5*b**3 = 0?
-1, 0, 1, 2
Let s(v) be the second derivative of 2*v**6/15 + 16*v**5 - 163*v**4/3 + 164*v**3/3 - 1724*v. Factor s(d).
4*d*(d - 1)**2*(d + 82)
Let a(i) be the second derivative of -5*i**5/4 + 215*i**4/12 + 170*i**3/3 + 50*i**2 - 7852*i. Solve a(q) = 0 for q.
-1, -2/5, 10
Let 820*j**2 + 227 - 816*j**2 + 169*j + 645 + 275*j = 0. What is j?
-109, -2
Let f(h) be the third derivative of -3/16*h**4 - 1/16*h**5 - 1/160*h**6 + h - 10*h**2 + 0 + 0*h**3. Factor f(d).
-3*d*(d + 2)*(d + 3)/4
Suppose -6*u = 51*u - 456. Let x(l) be the second derivative of u*l - 1/12*l**3 + 0 + 0*l**2 - 1/12*l**4. Suppose x(w) = 0. What is w?
-1/2, 0
Let c = -21762/5 - -4353. Let v(g) be the second derivative of 0*g**2 + 0*g**4 + 12*g + 0 + c*g**5 - 8/3*g**3 + 2/15*g**6. Solve v(l) = 0 for l.
-2, 0, 1
Let c(w) be the second derivative of -w**5/5 - 14*w**4/3 + 208*w**3 - w - 238. Factor c(m).
-4*m*(m - 12)*(m + 26)
Let s(o) be the first derivative of -o**5/25 + 149*o**4/20 + 608*o**3/15 + 306*o**2/5 + 1247. Factor s(y).
-y*(y - 153)*(y + 2)**2/5
Let o(v) be the third derivative of -v**7/630 + 11*v**6/60 - 272*v**5/45 - 11*v**4/12 + 121*v**3/2 + 3938*v**2. Factor o(c).
-(c - 33)**2*(c - 1)*(c + 1)/3
Solve -2*j**4 + 6*j**4 + 103*j**3 - 209*j**3 - 1184*j**2 + 76*j**3 + 146*j**3 = 0 for j.
-37, 0, 8
Find l, given that 2/3*l**3 - 18*l**2 - 1408/3 + 160*l = 0.
8, 11
Let u = -53158 + 53161. Let 4/7*x**2 + 18/7*x**u - 18/7*x - 4/7 = 0. What is x?
-1, -2/9, 1
Let n(d) = 18*d**3 + 11*d**2 + 45*d - 3. Let a(i) = -5*i**3 - 3*i**2 - 12*i + 1. Let k(y) = 22*a(y) + 6*n(y). Factor k(x).
-2*(x - 2)*(x + 1)**2
Let b(i) = -3*i + 1. Let w be b(2). Let z be w*(54/(-15) + 3). Factor 8*p**5 + 3*p**5 - 3*p**5 + z*p**4 - 5*p**5.
3*p**4*(p + 1)
Let z(o) be the first derivative of o**6/30 - o**5/5 + o**4/3 - 257*o**2/2 + 118. Let c(t) be the second derivative of z(t). Factor c(p).
4*p*(p - 2)*(p - 1)
Let c = -34771 - -34775. Solve 81/4*h**2 - 3*h + 3/4*h**c + 9*h**3 - 27 = 0 for h.
-9, -2, 1
Let 83167/3 - 96574/3*d + 1/3*d**4 - 226/3*d**3 + 4544*d**2 = 0. Calculate d.
1, 7, 109
Suppose 5*a = 10*t - 8*t + 11, -5*a = -5*t - 5. Suppose 0*w**2 - 23 + 167*w - w**t - 331*w + 140*w = 0. Ca