*2/4
Let m(o) = o**4 - o**3 - o**2 + 2*o + 1. Let t(w) = 7*w**4 + 4*w**3 + 6*w**2 + 10*w + 1. Let b(a) = -5*m(a) + t(a). Factor b(p).
(p + 1)*(p + 2)**2*(2*p - 1)
Let z(b) be the second derivative of b**4/4 + 213*b**3/2 - 3*b + 146. Factor z(y).
3*y*(y + 213)
Let z(w) be the first derivative of 32*w**5/25 + 164*w**4/5 - 1774*w**3/15 + 150*w**2 - 414*w/5 + 976. Determine b so that z(b) = 0.
-23, 3/4, 1
Let 11*j**4 - 5*j**5 + 32*j**3 - 28*j + 13*j**4 + 8*j**2 - 18*j**2 + j**5 - 14*j**2 = 0. What is j?
-1, 0, 1, 7
Factor 3/2*m**3 - 1/4*m**4 + 5/4 - m**2 - 3/2*m.
-(m - 5)*(m - 1)**2*(m + 1)/4
Let p(q) be the second derivative of -q**7/105 + 11*q**6/75 - q**5/5 - 53*q**4/15 - 133*q**3/15 - 49*q**2/5 - 302*q. Factor p(n).
-2*(n - 7)**2*(n + 1)**3/5
Let z = -163/12 - -57/4. Let k(y) be the third derivative of -1/60*y**6 + 0*y - 1/10*y**5 + 0 + 1/105*y**7 + z*y**3 + 3*y**2 + 1/12*y**4. Factor k(a).
2*(a - 2)*(a - 1)*(a + 1)**2
Factor -3/4*p**2 - 1/4*p**4 - p + p**3 + 1.
-(p - 2)**2*(p - 1)*(p + 1)/4
Let n(q) be the first derivative of -9 + 0*q**2 + 0*q - 1/6*q**3. What is v in n(v) = 0?
0
Suppose -2*f + 5*a + 1 = 0, 2 = f + 2*a - 3. What is b in -6*b + 20*b - 8*b**f + 4*b**2 - 6*b - 4*b**4 = 0?
-2, -1, 0, 1
Let i be ((0/(-2))/(-1))/2. Suppose -6 = -2*y - i*y. Determine x so that 0 + 0*x**y - 2/3*x**5 - 4/3*x**4 + 2/3*x + 4/3*x**2 = 0.
-1, 0, 1
Let h(v) be the second derivative of v**6/1620 - v**5/54 + 25*v**4/108 - 7*v**3/2 - 7*v. Let p(f) be the second derivative of h(f). Find r, given that p(r) = 0.
5
Let o(l) be the first derivative of 25 + 48*l - 44/9*l**3 - 16*l**2 - 1/3*l**4. Factor o(z).
-4*(z - 1)*(z + 6)**2/3
Let q(w) be the second derivative of -w**7/3780 + w**6/216 - w**5/45 + w**4/4 - 15*w. Let x(l) be the third derivative of q(l). Factor x(r).
-2*(r - 4)*(r - 1)/3
Let s(d) be the third derivative of 1/27*d**4 - 2/135*d**5 + 0*d**3 + 0 + 0*d + 1/540*d**6 - 19*d**2. Determine b so that s(b) = 0.
0, 2
Factor 736*d**2 + 15*d**4 - d**5 + 5*d**5 - 336*d**3 + 40*d**4 - 15*d**4 - 512*d.
4*d*(d - 2)**3*(d + 16)
Factor 16 - 24*y - 14 - 1341*y - 1355*y**2 - 12.
-5*(y + 1)*(271*y + 2)
Suppose -5*w - 8 = 27. Let n(f) = -f. Let g be n(w). Let r(m) = 3*m**2 + 3*m - 7. Let q(u) = u**2 + 2*u - 4. Let a(o) = g*q(o) - 4*r(o). Factor a(t).
-t*(5*t - 2)
Let d(l) be the first derivative of l**3/6 + 5*l**2/4 + 2*l + 247. Factor d(a).
(a + 1)*(a + 4)/2
Let o be 9/36*(4 + -4). Let p(n) be the second derivative of 0 + n + 0*n**2 + o*n**4 + 1/60*n**5 + 0*n**3 + 1/180*n**6. Suppose p(d) = 0. Calculate d.
-2, 0
Let z(a) be the first derivative of -7/3*a**3 + 0*a**4 - 8 + 1/360*a**6 + 0*a**2 - 1/60*a**5 + 0*a. Let v(p) be the third derivative of z(p). Factor v(w).
w*(w - 2)
Factor 0*q + 0 + 3/7*q**3 - 45/7*q**2.
3*q**2*(q - 15)/7
Let p(i) = 1. Let l(k) = k**3 + 9*k**2 + 8*k + 5. Let d be l(-8). Let x(s) = 50*s - 105 + 11 - 33 + 8 - d*s**2. Let y(g) = -6*p(g) + x(g). Factor y(t).
-5*(t - 5)**2
Let t = 1/401 - -2401/2005. Solve -t*g**3 - 2/3*g**4 - 2/15*g**5 - 14/15*g**2 - 4/15*g + 0 = 0 for g.
-2, -1, 0
Let 0 - 3*f**5 + 15/4*f**2 - 3/2*f + 9*f**3 + 3/4*f**4 = 0. Calculate f.
-1, 0, 1/4, 2
Let v = -119 + 120. Let n = v - 1. Factor 10/11*j**3 + 4/11*j**2 + 8/11*j**4 + n + 2/11*j**5 + 0*j.
2*j**2*(j + 1)**2*(j + 2)/11
Let o(z) = 208*z. Let n be o(0). Let n - 1/4*x**3 - 1/4*x**2 + 0*x + 1/4*x**4 + 1/4*x**5 = 0. What is x?
-1, 0, 1
Factor -30/7*d - 2/7*d**2 + 68/7.
-2*(d - 2)*(d + 17)/7
Let k = 85 + -82. Let q(g) = g + 5. Let o be q(-3). Determine i, given that 12*i + i**5 + 0*i**2 - 9*i**5 - 2*i**k + 16*i**2 - 18*i**4 - 2*i**3 + o = 0.
-1, -1/4, 1
Let p be 4/(1/1) - 0. Solve -2*s**5 + 3*s**4 - 3*s**3 - 15*s**p - 2*s**5 - s**3 + 8*s + 12*s**2 = 0.
-2, -1, 0, 1
Let c = -32 + 19. Let o = 19 + c. Let 7*g**3 + o*g**2 + 3*g**3 + 8*g - 12*g**3 = 0. What is g?
-1, 0, 4
Let v be ((87/(-12) + 7)*6)/(-3). Factor 1/4*n**4 - v*n**3 + 0 + 1/2*n - 1/4*n**2.
n*(n - 2)*(n - 1)*(n + 1)/4
Factor m**4 + 42*m**2 - 24596 + m**4 + 24596 + 196*m - 24*m**3.
2*m*(m - 7)**2*(m + 2)
Let z(b) be the first derivative of -2*b**3/27 - 17*b**2/9 - 20*b/3 + 66. Factor z(q).
-2*(q + 2)*(q + 15)/9
Let z(i) be the second derivative of i**5/60 - 8*i**4/9 + 128*i**3/9 + 5*i + 14. Factor z(n).
n*(n - 16)**2/3
Let d = 3557 - 3555. Factor 1/3 - 1/6*y - 1/3*y**d + 1/6*y**3.
(y - 2)*(y - 1)*(y + 1)/6
Let h = 29 - 29. Suppose -2*t = 2*t - u - 3, -u - 3 = h. Suppose 0*c**2 - c**4 - 1/2*c**5 + 0*c - 1/2*c**3 + t = 0. Calculate c.
-1, 0
Let l be ((-8)/5)/((-8)/20). Factor -3*s**3 - s**l + 20*s**3 - 7*s**3 + 5*s**2 + 6*s**4.
5*s**2*(s + 1)**2
Let d(u) be the second derivative of -u**4/4 + 67*u**3/2 + 2*u - 33. Factor d(x).
-3*x*(x - 67)
Let m be (-21)/63 - ((-282)/36 + 7). Factor -2*t**4 - 5/2*t**3 + 0*t - t**2 + 0 - m*t**5.
-t**2*(t + 1)**2*(t + 2)/2
Let v be (-4)/(-11) - (-270)/165. What is q in 0 + 0*q - 4/3*q**3 - 1/6*q**4 - 8/3*q**v = 0?
-4, 0
Let 12*z + 3/2*z**4 + 19/2*z**3 + 19*z**2 + 0 = 0. Calculate z.
-3, -2, -4/3, 0
Let h(i) be the third derivative of i**7/105 + i**6/12 + i**5/6 - 5*i**4/12 - 2*i**3 - 155*i**2. Determine g, given that h(g) = 0.
-3, -2, -1, 1
Let s(b) be the second derivative of 0*b**2 + 0 + 24*b + 27/160*b**5 + 1/4*b**3 - 5/8*b**4. Factor s(c).
3*c*(c - 2)*(9*c - 2)/8
Let u(l) = 7*l**2 - 6*l. Let r(p) = 8*p**2 - 4*p. Let k(v) = 3*r(v) - 4*u(v). Factor k(n).
-4*n*(n - 3)
Let g(v) = -v**4 - v**3 - 1. Suppose -5*y - 3*b + 16 = 0, 2*b = 5*y - 3*y. Let u(c) = -14*c**4 - 38*c**3 - 9*c**2 + 13*c. Let j(t) = y*g(t) + u(t). Factor j(h).
-(h + 1)*(h + 2)*(4*h - 1)**2
Let b(n) be the first derivative of n**4/12 - n**3/6 - n**2 + 17*n - 9. Let k(y) be the first derivative of b(y). Suppose k(w) = 0. Calculate w.
-1, 2
Factor i**2 - 1 - 1/2*i + 1/2*i**3.
(i - 1)*(i + 1)*(i + 2)/2
Let u(a) be the third derivative of 1/180*a**6 + 5/12*a**4 - 12*a**2 + 0*a + 0 + a**3 + 7/90*a**5. What is z in u(z) = 0?
-3, -1
Let i(p) be the second derivative of -p**6/80 - p**5/24 - p**4/48 + p**3/12 - 3*p**2 + 8*p. Let u(r) be the first derivative of i(r). Factor u(n).
-(n + 1)**2*(3*n - 1)/2
Suppose -57 = -12*g - 9. Find k such that k**2 - 8 + 0*k**4 + 6*k**g - 20*k - 9*k**5 + k**2 + 29*k**3 = 0.
-1, -2/3, 1, 2
Let a(m) = -m**3 + 150*m**2 + 4. Let j(y) = 20*y**3 - 3300*y**2 - 90. Let z(n) = -45*a(n) - 2*j(n). Determine l, given that z(l) = 0.
0, 30
Let q(v) be the first derivative of 10 - 8/3*v**3 + 12*v + 10*v**2. Let q(r) = 0. What is r?
-1/2, 3
Let g = 299 + -293. Let f be ((-26)/(-91))/(g/14). Factor 0*u + 0 - 2/3*u**2 + f*u**3.
2*u**2*(u - 1)/3
Let u be (-2)/5 - (1662/(-10))/3. Let t = -55 + u. Factor t - 14/5*a**3 - 8/5*a - 32/5*a**2.
-2*a*(a + 2)*(7*a + 2)/5
Let a(z) be the second derivative of -1/4*z**4 + 9*z**2 - 5/2*z**3 + 0 - 24*z. Let a(d) = 0. What is d?
-6, 1
Solve -1 - z**2 + 5*z**2 - 280*z + 256*z + 3*z**2 + 10 = 0 for z.
3/7, 3
Let i(z) be the second derivative of -3/5*z**5 - 1/10*z**6 - 25*z + 3*z**3 + 0*z**2 - 1/4*z**4 + 0. Factor i(g).
-3*g*(g - 1)*(g + 2)*(g + 3)
Factor -1/10*j**4 - 4329/10*j**2 + 59319/5 - 50193/10*j - 23/2*j**3.
-(j - 2)*(j + 39)**3/10
Let m = 25543/42580 - -1/8516. Solve -m*c**4 + 12/5*c - 24/5*c**2 + 0 + 3*c**3 = 0 for c.
0, 1, 2
Suppose -15*h + 9*h = -10*h. Suppose -12*d - 9*d = h. Factor 2/3*s**2 - 2/3*s**4 + 2/3*s**3 + d - 2/3*s.
-2*s*(s - 1)**2*(s + 1)/3
Let j(a) be the first derivative of -a**3 + 3*a**2/2 - 29. Let j(z) = 0. Calculate z.
0, 1
Let b be (-16)/(-56) - 3 - (-24)/8. Solve 0*h - 12/7*h**2 + b - 16/7*h**3 - 6/7*h**4 = 0 for h.
-1, 1/3
Let r(b) = b**3 - 9*b**2 + b + 3. Let k be r(9). Suppose 6*o = k*o. Determine f, given that 4/7*f**2 - 2/7*f**3 - 2/7*f + o = 0.
0, 1
Let j(b) be the first derivative of -10 + 2*b + 50/3*b**3 + 10*b**2. Find u, given that j(u) = 0.
-1/5
Let w = 32 + -23. Factor -246*d**2 + 0*d**5 + 243*d**2 - 9*d**3 - w*d**4 - 3*d**5.
-3*d**2*(d + 1)**3
Let v be 1 + 54/(-66) + (-338)/1980. Let h(o) be the second derivative of -1/45*o**3 + 0*o**2 + 2*o + 0 + v*o**4. Factor h(q).
2*q*(q - 1)/15
Let n = 102 - 122. Let w be ((-10)/(-72))/(-5) - 5/n. Determine c, given that 0 + 2/9*c - w*c**2 = 0.
0, 1
Suppose 7*l + l**2 + 4*l + 0 + 32*l - 34 - 10*l = 0. What is l?
-34, 1
Let -230*l + 3*l**4 + 9*l**2 - 9*l**3 + 454*l - 227*l = 0. What is l?
0, 1
Let b(a) 