s p in b(p) = 0?
1/3, 8
Determine g, given that -3*g**5 - 51 - 369 + 327*g**2 + 0*g**5 - 111*g**4 - 88*g**3 + 97*g - 113*g**3 + 311*g = 0.
-35, -2, 1
Let s = 474 - 470. Suppose -17*b**2 - 2*b**5 + 15*b**2 + 16*b**4 + 2*b**3 - 14*b**s = 0. What is b?
-1, 0, 1
Let n(m) be the second derivative of -m**4/20 - 37*m**3/10 - 513*m**2/5 - 19*m - 23. Factor n(v).
-3*(v + 18)*(v + 19)/5
Let z(o) be the first derivative of -o**6/60 - o**5/60 + o**4/12 + o**3/6 - 32*o**2 - 42. Let x(a) be the second derivative of z(a). Factor x(w).
-(w - 1)*(w + 1)*(2*w + 1)
Let j(k) be the second derivative of -k**5/5 - 142*k**4/3 - 9490*k**3/3 + 42632*k**2 - 4552*k. Factor j(u).
-4*(u - 4)*(u + 73)**2
Let f be ((-12)/13)/6*6/(-144)*52. Factor 5/3*d**2 + 8/3*d + 4/3 + f*d**3.
(d + 1)*(d + 2)**2/3
Let p(w) = -27*w**3 + 103*w**2 - 715*w + 584. Let f(r) = 5*r**3 - 21*r**2 + 143*r - 117. Let m(j) = 11*f(j) + 2*p(j). Suppose m(i) = 0. Calculate i.
1, 7, 17
Suppose -1513*v**2 + 45*v**4 + 8*v**5 + 3*v**5 - 490*v - 2016*v**3 + 24*v**5 - 692*v**2 + 311*v**3 = 0. What is v?
-7, -1, -2/7, 0, 7
Let a(f) = -67*f**3 - 307*f**2 - 374*f. Let p(d) = 35*d**3 + 157*d**2 + 186*d. Let n(k) = 6*a(k) + 14*p(k). Find q, given that n(q) = 0.
-45/22, -2, 0
Let d(f) = f**2 - 22*f + 95. Let w be d(18). Suppose 0 = 2*m + w*m - 50. Factor -1/2 - m*p**2 - 1/4*p**5 + 1/2*p**4 + 1/2*p**3 + 7/4*p.
-(p - 1)**4*(p + 2)/4
Let x(a) be the first derivative of 70 - 51/4*a**4 - 13*a**3 + 18*a + 15/2*a**2 - 3*a**5. Determine n, given that x(n) = 0.
-2, -1, 3/5
Let z = -16970 - -16970. Let v(g) be the second derivative of -3/2*g**6 + 0 + 5/6*g**3 - 35/12*g**4 + z*g**2 + 15/4*g**5 - 24*g. Find k such that v(k) = 0.
0, 1/3, 1
Let p(s) = 3*s**2 - 19. Let d = -1270 + 1275. Let f(w) = 2*w**2 + 1 - 12 - 2. Let k(u) = d*p(u) - 7*f(u). Factor k(v).
(v - 2)*(v + 2)
Factor 194*r - 410*r - 691 + 6*r**3 - 21*r**3 + 124*r**2 + 1019*r**2 - 221.
-3*(r - 76)*(r - 1)*(5*r + 4)
Suppose -2*j = -4*c + 170, -3*j + 3*c = -37 + 307. Let g = j + 103. Solve g*u - 2*u**4 + 48*u**2 - 6*u**3 - 48*u**2 = 0 for u.
-2, 0, 1
Let o(d) be the first derivative of 490*d**3/3 + 345*d**2/2 + 50*d - 9012. Find q such that o(q) = 0.
-1/2, -10/49
Let x(a) be the third derivative of 2 + 1/120*a**6 - 4/3*a**3 - 1/6*a**4 + 1/30*a**5 - 7*a**2 + 0*a. Determine q so that x(q) = 0.
-2, 2
Let k(t) = -62*t**2 - 9*t + 5. Let m be k(3). Let d = 584 + m. Let -9/2*f**2 - 3 - 3/2*f**3 + 3/2*f**d + 15/2*f = 0. Calculate f.
-2, 1
Let o(z) = 2*z**2 + 8*z - 22. Let p be o(-6). Let d be 2*26/(-12) - (-10)/p. Suppose h - 1/3*h**2 - d = 0. Calculate h.
1, 2
Let r = -4559703/130 + 35075. Let o = 9/65 + r. Factor -o*i**2 - 1 + 3/2*i.
-(i - 2)*(i - 1)/2
Let b(i) be the third derivative of 0*i - 43*i**2 + 3/175*i**7 + 1/15*i**4 + 0 + 1/15*i**3 - 1/75*i**5 - 1/25*i**6. Solve b(m) = 0.
-1/3, 1
Find r such that r + 42 - 1/4*r**3 - 21/2*r**2 = 0.
-42, -2, 2
Let u be 23/(322/8) - (72/(-28) - -3). Let w(m) be the first derivative of 9/7*m - 15/14*m**2 + u*m**3 + 3/28*m**4 - 13. Factor w(b).
3*(b - 1)**2*(b + 3)/7
Let i be (-2)/(-8) + 5764/(-16) + -5. Let h = i + 1829/5. Factor 0*d + 0 + 4/5*d**4 - 8/5*d**2 + h*d**3.
4*d**2*(d - 1)*(d + 2)/5
Let q(a) = -a**3 - 20*a**2 + 19*a - 39. Let u be q(-21). Factor -4*r**4 + r**4 + 4*r**2 + 4*r**4 - 4*r**u.
r**2*(r - 2)**2
Let b = -228 - -228. Suppose -5*o + g + 24 = b, 4*o + 5*g - 1 = -5. Solve 0*x**o + 0 - 1/3*x**5 + 2/3*x**2 + x**3 + 0*x = 0 for x.
-1, 0, 2
Let x(b) = -b**2 + 29*b + 166. Let a be x(35). Let n = a - -44. Solve n*d + 0 - 2/7*d**4 + 8/7*d**2 + 0*d**3 = 0.
-2, 0, 2
Let s(a) = a**4 + a**3 - 8*a**2 - 18*a + 4. Let y(p) = -11*p**4 - 9*p**3 + 88*p**2 + 201*p - 46. Let h(z) = -69*s(z) - 6*y(z). What is l in h(l) = 0?
-6, -1, 0, 2
Suppose -10*d = -48 + 888. Let i be ((-1)/6)/(161/d). Let 6/23*u**2 - i*u**4 + 4/23*u + 0 + 0*u**3 = 0. Calculate u.
-1, 0, 2
Let o = -744146 + 2232776/3. Factor -52/3*t + 2/3*t**2 + o.
2*(t - 13)**2/3
Suppose -3*z - 2 = -2*z + 2*u, -5*z + 3*u = -29. Find l, given that -12*l**2 - 16*l**z + 32*l**3 - 7*l**4 + 166*l**5 - 161*l**5 = 0.
0, 3/5, 2
Solve 45*d**3 + 42*d + 3/2*d**4 + 0 + 171/2*d**2 = 0.
-28, -1, 0
Let o(d) = 2*d**2 - d - 2. Let m be (-33)/132 + (-6)/8. Let z(q) = 8*q**2 + 390*q + 9600. Let n(b) = m*z(b) + 2*o(b). Factor n(l).
-4*(l + 49)**2
Let c(x) be the first derivative of -x**3/3 + 151*x**2/2 - 150*x + 681. Factor c(g).
-(g - 150)*(g - 1)
Let -49/3*c**2 + 50 + 1/6*c**3 - 203/6*c = 0. Calculate c.
-3, 1, 100
Let j(s) = -2*s**3 - 53*s**2 - 117*s + 74. Let p be j(-24). Solve 12/7 - 15/7*w + 3/7*w**p = 0.
1, 4
Let z be 3 + 159/(-51) - (-72)/34. Let s(f) be the first derivative of 3/8*f**4 - 1/2*f**3 + 6*f - 3*f**z - 14. Suppose s(m) = 0. What is m?
-2, 1, 2
Let d(r) = r**4 + 5*r**3 - 6*r**2 + 6*r - 2. Let y(m) = -68 + 79 + 29*m**2 - 31*m - 25*m**3 - 2*m**4 - 4*m**4. Let t(a) = -11*d(a) - 2*y(a). Factor t(z).
z*(z - 2)**2*(z - 1)
Let f(o) be the first derivative of o**5 + 0*o - 25/4*o**4 + 20/3*o**3 + 0*o**2 - 227. Factor f(i).
5*i**2*(i - 4)*(i - 1)
Let j(a) be the second derivative of a**7/28 - 33*a**5/40 + 9*a**4/4 - 2*a**3 - 3*a - 46. Let j(l) = 0. Calculate l.
-4, 0, 1, 2
Let q be (-2)/4 - (30/9 + (-11245)/2730). Factor 2*x - q*x**3 + 0*x**2 + 12/7.
-2*(x - 3)*(x + 1)*(x + 2)/7
Suppose 950*c + 10528 - 13659 - 23469 = 0. Factor 0 + 11*o**3 - c*o**4 + 0*o + 0*o**2 + 5/4*o**5.
o**3*(o - 22)*(5*o - 2)/4
Let v = 2359/6 - 393. Let k(w) be the second derivative of -1/21*w**7 - w + 1/10*w**5 + 1/15*w**6 - v*w**4 + 0*w**3 + 0*w**2 + 0. Factor k(i).
-2*i**2*(i - 1)**2*(i + 1)
Let d(m) be the third derivative of -m**5/360 - 25*m**4/48 + 19*m**3/9 + 43*m**2. Factor d(b).
-(b - 1)*(b + 76)/6
Suppose -45 + 43 = -w. Factor -12 - 197*s - 16*s**w + 0*s**3 - 20 + 2*s**3 + 237*s.
2*(s - 4)*(s - 2)**2
Let z be ((-9)/42)/((-24)/(-32))*-14. Let 23*m + 2*m**2 - 7*m**5 - 23*m**3 + 14*m**3 - 40*m**z - 10 - 7*m**3 + 48*m**2 = 0. What is m?
-5, -1, 2/7, 1
Let d(u) be the second derivative of -3/20*u**5 + 0*u**2 - 43*u + 0 + 2*u**3 + 3/4*u**4. Factor d(x).
-3*x*(x - 4)*(x + 1)
Let n be (-152)/(-24) + 14/(-6). Factor -483*x**2 + 120*x**5 - 153*x**5 - 108*x**3 + 126*x**n + 459*x**2.
-3*x**2*(x - 2)**2*(11*x + 2)
Let f(i) be the second derivative of 49*i**5/170 + 13559*i**4/51 - 15508*i**3/51 + 2216*i**2/17 + 2*i - 2080. Factor f(n).
2*(n + 554)*(7*n - 2)**2/17
Suppose -4*o - 23 = -c - 2*c, c - 4*o - 21 = 0. Let q be 4/(0 + (c - -1)). What is y in -2*y**q - 18*y - 3*y**2 - 52*y + 10*y - 180 = 0?
-6
Let f(q) be the third derivative of -34*q**2 + 0*q + 1/45*q**5 + 0 + 1/108*q**4 + 0*q**3. Find u, given that f(u) = 0.
-1/6, 0
Let b(g) = -2*g**3 + 2*g**2 - g + 6. Let d(u) = 10*u**3 + 2990*u**2 + 559503*u - 562518. Let l(w) = -3*b(w) - d(w). Solve l(q) = 0 for q.
-375, 1
Let q be ((-12)/15 - (-882)/1715)*(-7)/20. Let c(o) be the second derivative of -q*o**4 + 0*o**2 + 0 - 14*o + 3/100*o**5 + 0*o**3. Factor c(i).
3*i**2*(i - 2)/5
Let s(n) be the second derivative of n**5/4 + 341*n**4/48 + 337*n**3/24 + 2*n**2 - 8*n - 325. Suppose s(c) = 0. What is c?
-16, -1, -1/20
Let r be 512/12 + 80/(-120). Suppose -y - 5*x = -6*y, 12*x = -2*y + r. Factor 3/2*g**y - 5/2*g + 2*g**2 - 1.
(g - 1)*(g + 2)*(3*g + 1)/2
Suppose 2/9*s**5 - 4/9*s**2 + 50/9*s**4 - 94/9*s + 92/9*s**3 - 46/9 = 0. What is s?
-23, -1, 1
Let v(i) be the first derivative of 3*i**5/20 + 11*i**4/4 + 20*i**3 + 72*i**2 - 75*i + 109. Let t(h) be the first derivative of v(h). Factor t(y).
3*(y + 3)*(y + 4)**2
Let n(q) be the first derivative of 2/15*q**5 + 8*q - q**4 - 108 + 16/3*q**2 - 2/3*q**3. Factor n(s).
2*(s - 6)*(s - 2)*(s + 1)**2/3
Let l = -856253231/432 + 1982069. Let y = l + -1/432. Factor 16/9*c + 2/9*c**4 - 2/3 - y*c**2 + 0*c**3.
2*(c - 1)**3*(c + 3)/9
Suppose 0 = -4*t + 32, 0 = -4*q - 3*t + 9*t - 10*t + 44. Suppose 0 - 18/5*h**2 + 0*h + 3/5*h**4 - q*h**3 = 0. Calculate h.
-1, 0, 6
Let f(a) be the third derivative of 1/3*a**3 + 2*a**2 - 5/54*a**4 + 0*a + 1/270*a**5 + 170. Factor f(v).
2*(v - 9)*(v - 1)/9
Suppose 3*o = 6 - 3. Let n be (2/(4/6))/o. Factor -21*p - 142 + 3*p + n*p**2 + 157.
3*(p - 5)*(p - 1)
Let q(p) be the third derivative of -27*p**7/350 + 1077*p**6/50 - 128161*p**5/75 - 5744*p**4/3 - 2560*p**3/3 - 3471*p**2. Factor q(r).
-(r - 80)**2*(9*r + 2)**2/5
Let