t y(u) be the first derivative of i(u). Factor y(r).
r*(r + 1)*(r + 4)/4
Let q(y) = 58*y**2 + 365*y + 1840. Let t(k) = 35*k**2 + 183*k + 919. Let c(x) = -3*q(x) + 5*t(x). Factor c(h).
(h - 185)*(h + 5)
Factor -26*w**3 - 3767 + 2111 + 556*w**2 + 28*w**3 + 1098*w.
2*(w - 1)*(w + 3)*(w + 276)
Let y be (2 - -4) + 99/21. Let t = -69/7 + y. Factor -3/7*z**3 - 12/7*z**2 - t - 15/7*z.
-3*(z + 1)**2*(z + 2)/7
Let b = -168 + 577/3. Let d(r) be the first derivative of -1/6*r**6 - 15 - 3/4*r**4 - 48*r**2 - 36*r + 9/5*r**5 - b*r**3. Factor d(t).
-(t - 6)**2*(t + 1)**3
Determine r, given that -4/7*r**4 + 268/7*r**2 + 520/7*r + 0 - 256/7*r**3 = 0.
-65, -1, 0, 2
Factor 868/5 + 34/5*v - 2/5*v**2.
-2*(v - 31)*(v + 14)/5
Suppose k - 2*p = 0, 0 = 2*k + 5*p - 2*p - 7. Suppose 2*x - k = -5*a, -2*a + x - 2 = -5*a. Factor 0*t + 9/4*t**3 + 0 + 3/2*t**a + 3/4*t**4.
3*t**2*(t + 1)*(t + 2)/4
Suppose 0*q - 10*q**3 + 4*q**2 + 16*q + q**5 - 2*q**3 - 1113*q**4 + 1114*q**4 = 0. Calculate q.
-4, -1, 0, 2
Let u be (42/490 - (-1)/(-5))/(2/(-160)). Solve 16*b**2 + 0 - 48/7*b**3 - u*b + 4/7*b**5 - 4/7*b**4 = 0 for b.
-4, 0, 1, 2
Suppose 2*g + 3*g - 30 = 0. Let j = -22494 - -22497. Factor -24*t**3 + 18*t**3 - g*t + 8*t**j + 4*t**2.
2*t*(t - 1)*(t + 3)
Let q(m) be the first derivative of -m**4/22 - 62*m**3/33 - 30*m**2/11 - 901. Factor q(i).
-2*i*(i + 1)*(i + 30)/11
Let m = -1094344 - -1094347. Factor -35/4*a - 3/2*a**3 + a**4 + 1/4*a**5 - m - 8*a**2.
(a - 3)*(a + 1)**3*(a + 4)/4
Let x(n) = -789*n - 3941. Let l be x(-5). Let v be 1/(-3) - 10/(-12). What is o in 5/4*o**5 - o**2 + 1/2*o**l - 5/2*o**3 + 5/4*o + v = 0?
-1, -2/5, 1
Let t(u) be the second derivative of 1323/4*u**2 - 40*u - 41/8*u**4 - 399/4*u**3 - 3/40*u**5 + 0. Factor t(j).
-3*(j - 1)*(j + 21)**2/2
Let g = -18422/3 - -6142. Let c(q) be the first derivative of -4*q**2 - 21 - g*q**3 - 4*q. Factor c(n).
-4*(n + 1)**2
Suppose 4*n + a = 93, n - 8*a + 11*a - 15 = 0. Find d, given that -27*d**2 + 24*d - 10*d + n*d**2 + 25*d - 36 = 0.
1, 12
Let j(s) = s**2 - s + 1. Let y(o) = -2*o**3 - 35*o**2 - 30*o. Let u(p) = p**3 + p**2 - p + 1. Let k(c) = 3*u(c) - y(c). Let l(b) = -3*j(b) + k(b). Factor l(q).
5*q*(q + 1)*(q + 6)
Factor 10*u**2 + u + u**3 - 9 - 3 - 2*u + 13 - 11.
(u - 1)*(u + 1)*(u + 10)
Suppose -108*c + 124*c - 224 = 0. Suppose -4*d - 32 = -4*r, 5*d + 30 = -3*r + c. Factor -27/2*f**2 - 18*f**r + 0 - 3*f - 15/2*f**4.
-3*f*(f + 1)**2*(5*f + 2)/2
Let z(m) be the third derivative of m**8/2856 - m**7/595 - 7*m**6/68 - 65*m**5/102 - 1713*m**2. Determine j so that z(j) = 0.
-5, 0, 13
Suppose -401*h + 100 = -381*h. Let z(p) be the third derivative of 0*p + 1/15*p**h - 2/3*p**4 + 0 - 35*p**2 + 8/3*p**3. Factor z(v).
4*(v - 2)**2
Let q = -582 - -585. Let t(u) = u**2 + 57*u. Let c(r) = -2*r**2 - 172*r. Let x(f) = q*c(f) + 8*t(f). Factor x(p).
2*p*(p - 30)
Factor 956 + 105 + 1058*n - 8227*n**2 - 2 + 8226*n**2.
-(n - 1059)*(n + 1)
Let w(t) be the third derivative of -t**5/100 - 27*t**4/40 + 28*t**3 - 1714*t**2 + t. Factor w(x).
-3*(x - 8)*(x + 35)/5
Let f(s) be the second derivative of s**6/1320 + s**5/55 + 3*s**4/22 + 68*s**2 + 21*s. Let x(o) be the first derivative of f(o). What is c in x(c) = 0?
-6, 0
Let v(r) be the third derivative of 1/60*r**6 + 3 + 1/420*r**7 + 39*r**2 - 19/120*r**5 + 7/24*r**4 + 0*r**3 + 0*r. What is d in v(d) = 0?
-7, 0, 1, 2
Let l(y) = -2099*y + 2. Let w be l(0). Solve -49*a**w + 2*a**5 - 29/2*a**4 - 4 + 26*a + 79/2*a**3 = 0.
1/4, 1, 2
Let m(q) = 22*q + 188. Let a be m(13). Let c = 2406/5 - a. Factor -2/5*v**4 + 16/5*v**3 - c*v**2 - 2 + 32/5*v.
-2*(v - 5)*(v - 1)**3/5
Suppose 0 = 3*d + 2*l + 4 - 284, -2*d + 186 = 2*l. Factor 3*g**3 + 9*g**2 + 72*g**2 + d + 585*g + 413.
3*(g + 1)*(g + 13)**2
Let l(t) be the first derivative of -t**3/12 - 7*t**2/8 + 459*t/2 + 5703. Determine z, given that l(z) = 0.
-34, 27
Let f(g) be the second derivative of 9/7*g**2 - 227*g - 1/35*g**5 + 11/12*g**4 + 0 - 13/6*g**3. Factor f(c).
-(c - 18)*(c - 1)*(4*c - 1)/7
Let r(v) be the third derivative of v**5/150 + 362*v**4/3 + 2620880*v**3/3 + 372*v**2 + 3*v. Let r(q) = 0. What is q?
-3620
Suppose -38 + 10 = -94*r - 9 - 19. Factor -784/3*i - 112/3*i**2 - 4/3*i**3 + r.
-4*i*(i + 14)**2/3
Suppose 3*q - p = -0*p + 153, 3*p = 9. Let v = -47 + q. Factor -78*x**4 + 2*x**v - 2*x**5 - 2*x**5 - 4*x**2 + 70*x**4 - 10*x**3.
-2*x**2*(x + 1)**2*(x + 2)
Determine b so that 16*b**2 - 3*b**2 + 173 - 30*b - 12*b**2 - 144 = 0.
1, 29
Factor -511*p**3 - 1394*p**4 + 1484*p**4 - 2028*p + 2340*p**2 - 3*p**5 - 320*p**3.
-3*p*(p - 13)**2*(p - 2)**2
Let g(r) be the third derivative of -1/12*r**5 + 0 + 0*r + 55*r**2 + r**3 + 13/24*r**4. Factor g(c).
-(c - 3)*(5*c + 2)
Suppose 61*r = d + 130, 4*r - 2*d = -130 + 154. Solve -8*g**4 - 12 + 15/2*g**3 + 15*g**r - 14*g + 3/2*g**5 = 0 for g.
-1, -2/3, 2, 3
Suppose 5*b = -3*a - 15, a - 25937 = 6*b - 25919. Factor a*l**2 - 2/15*l**3 - 8/3 + 14/5*l.
-2*(l - 4)*(l - 1)*(l + 5)/15
Let f be ((-45)/(-18) - 2)*(-32)/(-2). Suppose -37 - 2*a**3 - 42 - 9 + f - 48*a + 22*a**2 + 8 = 0. What is a?
-1, 6
Let d(r) be the first derivative of r**4/4 - 3*r**3 + 9*r**2/2 - r + 29. Let y be d(8). Factor 5*p**2 + 53*p + 300 + 8*p**2 - 10*p**2 + y*p.
3*(p + 10)**2
Let r(c) be the third derivative of -c**8/1260 - c**7/2520 + c**6/270 + c**5/360 - 55*c**3/3 + 93*c**2. Let i(z) be the first derivative of r(z). Factor i(m).
-m*(m - 1)*(m + 1)*(4*m + 1)/3
Let i = 72 + -68. Let w = -13 + 16. What is z in 6*z + i*z**4 + w*z**4 - 10*z**4 + 3*z**2 - 6*z**3 = 0?
-2, -1, 0, 1
Let m = 163 - 163. Determine a so that 77*a**4 - 2*a**5 + m*a**5 - 44*a**3 - 53*a**4 - 168*a**2 - 98*a = 0.
-1, 0, 7
Let b(i) be the third derivative of 15/8*i**4 + 0 - 1/12*i**5 - 76*i**2 - 35/3*i**3 + 0*i. Factor b(u).
-5*(u - 7)*(u - 2)
Let b(t) be the third derivative of 0 - 1/140*t**5 - 1/28*t**4 + 35*t**2 - t + 0*t**3. Suppose b(p) = 0. What is p?
-2, 0
Let z(t) be the first derivative of 15488/9*t + 2/27*t**3 + 176/9*t**2 + 174. Find i such that z(i) = 0.
-88
Let g = -89 + 93. Suppose g*s = 4 + 4. Factor o**5 + 1499*o**s + 6*o**3 - 8*o**4 - 1495*o**2 - 2*o - 9*o**5.
-2*o*(o + 1)**2*(2*o - 1)**2
Let y = -212 + 218. Suppose 3*b**3 + 152*b - 3*b**2 + y*b**4 + 3*b**3 - 158*b - 3*b**4 = 0. What is b?
-2, -1, 0, 1
Suppose 3*m + 380 = -4*j, 17*m - 19*m + 4*j = 260. Let p be (34/(-8) - -5)/((-48)/m). Suppose -p*c**3 + 2/5*c**4 + 0 + 0*c + 8/5*c**2 = 0. Calculate c.
0, 1, 4
Let b = -17 - -22. Solve 27*p**4 + 2*p**b - 7*p**4 - 14*p**4 = 0 for p.
-3, 0
Factor 86*d**2 - 2*d**3 + 32*d**2 + 792 - 1926*d + 2838*d.
-2*(d - 66)*(d + 1)*(d + 6)
Determine h so that 4/5*h**2 + 264/5 - 28*h = 0.
2, 33
Let l = 690482/5 + -14499932/105. Factor -2/3*j**4 + 2/21*j**5 - 50/21*j**2 - 8/21 + 32/21*j + l*j**3.
2*(j - 2)**2*(j - 1)**3/21
Let o(h) = -63*h**3 + 1773*h**2 - 252287*h - 254033. Let a(w) = 82*w**3 - 2363*w**2 + 336383*w + 338711. Let r(c) = -10*a(c) - 13*o(c). Factor r(b).
-(b - 291)**2*(b + 1)
Let a(d) be the second derivative of -73 - 11*d**4 + 1/15*d**6 - 7/10*d**5 - 148/3*d**3 - d - 104*d**2. Suppose a(q) = 0. Calculate q.
-2, 13
Let y(k) = 16*k - 4. Let p be y(1). Suppose l = 5*l - p. Suppose -11*t**3 + 11*t**3 + 4*t + 6*t**2 + 2*t**l = 0. Calculate t.
-2, -1, 0
Let f(b) = 3*b**3 + b**2. Let u be f(1). Suppose -3*x - 26 + 62 = 0. Find n such that -8*n - 2*n**4 + 4*n**2 - u*n**2 + 6*n**4 - x*n**2 = 0.
-1, 0, 2
Let s = -98736 + 888626/9. Factor -2/9*v**2 + 4/9*v - s.
-2*(v - 1)**2/9
Let 220/9*h**2 - 10/9*h**4 + 32/3*h + 0 - 6*h**3 = 0. Calculate h.
-8, -2/5, 0, 3
Let p(b) be the third derivative of -b**5/12 + 265*b**4/12 - 175*b**3/2 - 2*b**2 + 285*b. Factor p(a).
-5*(a - 105)*(a - 1)
Let w be 1 + -1 + -2 + 4. Let q(t) = t**2 - 6*t + 11. Let h be q(5). Factor -7*f**2 + f**3 - w*f**2 + h*f**2 - f + 3.
(f - 3)*(f - 1)*(f + 1)
Find x such that -1984/7*x**2 - 44/7*x**5 + 656/7*x + 192/7 + 1188/7*x**3 - 8/7*x**4 = 0.
-6, -2/11, 1, 4
Factor 106/13*d - 2/13*d**3 + 20/13*d**2 + 84/13.
-2*(d - 14)*(d + 1)*(d + 3)/13
Let f(m) be the first derivative of -m**5/25 - 7*m**4/20 + 44*m**3/15 - 10316. Factor f(v).
-v**2*(v - 4)*(v + 11)/5
Let q(k) = 152*k**2 - 26*k + 24. Let z(x) = 150*x**2 - 23*x + 20. Let r(s) = 5*q(s) - 6*z(s). Suppose r(o) = 0. What is o?
0, 2/35
Let v(p) = 13*p**3 - p + 4. Let a(s) 