6*b**6 + y*b - 2/5*b**5 + 4 - 1/2*b**4 - 7/2*b**2 + 8/3*b**3. Factor p(m).
(m - 1)**4*(m + 2)
Let a = -56 - -75. Factor -3*i - 3*i - a - 4*i - 6 - i**2.
-(i + 5)**2
Let f(o) be the first derivative of -4*o**5/15 - o**4/3 - 100. Let f(h) = 0. What is h?
-1, 0
Let z = 205 + -205. Let m(c) = -8*c + 16. Let w be m(2). Factor 0*x**2 + 2/11*x**4 + w*x + 2/11*x**3 + z.
2*x**3*(x + 1)/11
What is d in -16*d + 12*d**2 - 4*d**4 + 11*d**4 - 4*d**5 + 20*d**3 - 19*d**4 = 0?
-4, -1, 0, 1
Let j(c) be the third derivative of 0*c**4 + 0*c**3 + 0 - 1/100*c**5 - 1/1050*c**7 + 0*c - 6*c**2 + 1/150*c**6. Solve j(h) = 0 for h.
0, 1, 3
Let z(a) be the first derivative of a**6/24 - a**5/20 - a**4/16 + a**3/12 - 96. Solve z(m) = 0.
-1, 0, 1
Let y(w) = -21*w**2 - 141*w - 40. Let k(g) = -10*g**2 - 70*g - 20. Let n(c) = 7*k(c) - 4*y(c). Determine x so that n(x) = 0.
-5, -2/7
Let y(t) be the first derivative of 2*t**5/15 - 5*t**4/6 - 4*t**3/3 + 605. What is o in y(o) = 0?
-1, 0, 6
Let d(m) be the third derivative of -m**6/30 + 4*m**5/3 + 43*m**4/6 + 44*m**3/3 - 91*m**2. Factor d(y).
-4*(y - 22)*(y + 1)**2
Let b(d) be the first derivative of 2*d**3/9 - 5*d**2/3 + 4*d - 139. Factor b(z).
2*(z - 3)*(z - 2)/3
Factor f - 18 - 3*f**2 + 0*f - 11*f + 3*f - 14*f.
-3*(f + 1)*(f + 6)
Let w(y) = -8*y**2 - 10*y + 9. Let a be w(5). Let z = a - -244. Factor 0 + 2/9*u**z - 4/9*u - 2/9*u**2.
2*u*(u - 2)*(u + 1)/9
Let f be 26/8 + (-6)/24. Find i, given that -18*i**3 + 3*i**3 + 6*i - f*i**2 + 12*i**3 = 0.
-2, 0, 1
Determine m, given that 1055*m**3 + 18 + 35*m**5 - 159 + 1070*m**2 + 160*m + 2 - 21 + 340*m**4 = 0.
-4, -1, 2/7
Let c(z) be the first derivative of 6*z**5/35 - 3*z**4/14 - 6*z**3/7 + 15*z**2/7 - 12*z/7 + 216. Factor c(o).
6*(o - 1)**3*(o + 2)/7
Suppose -6 = -c, 17*c - 19*c = 3*y - 18. What is b in 0 + 2/5*b - 1/5*b**3 - 1/5*b**y = 0?
-2, 0, 1
Let c = -4889 + 4892. Factor 3/5*s**2 - 3/5*s**c + 0 + 0*s.
-3*s**2*(s - 1)/5
Let n(s) = -s**3 - 7*s**2 - s + 30. Let u be n(-6). Suppose u*x**2 + 2/3*x**4 + 0*x - 4/3*x**3 + 0 + 2/3*x**5 = 0. Calculate x.
-2, 0, 1
Determine h, given that -200*h**3 + 20 + 198*h**3 + 6*h**2 + 6 + 72*h + 38 = 0.
-4, -1, 8
Let q = -150/107 + 664/321. Solve 0 - q*v + 2/9*v**3 + 4/9*v**2 = 0 for v.
-3, 0, 1
Let i(j) be the first derivative of 1/3*j**4 + 8*j - 2*j**2 + 2/3*j**3 - 1 - 1/5*j**5. Let u(p) be the first derivative of i(p). Factor u(f).
-4*(f - 1)**2*(f + 1)
Let x(l) be the first derivative of 2/3*l**6 + 4/5*l**5 - 4/3*l**3 + 16*l**2 - 21 - 5*l**4 - 16*l. Solve x(j) = 0 for j.
-2, 1
Let n(d) be the second derivative of -d**6/30 - d**5/2 - 11*d**4/4 - 20*d**3/3 - 8*d**2 + 2*d + 36. Factor n(b).
-(b + 1)**2*(b + 4)**2
Let c = -44 + 56. Suppose -4*d + c = 4*n - n, d + n = 4. Factor -2/11*z**5 + d - 10/11*z**3 - 8/11*z**4 + 0*z - 4/11*z**2.
-2*z**2*(z + 1)**2*(z + 2)/11
What is r in 4/3*r**2 + 40/3*r + 0 = 0?
-10, 0
Let r(p) = p - 1. Let c(t) = -15*t**3 + 5*t**2 - t + 1. Suppose -w - 3 = 2*h, -2*h - w + 2 = -5*w. Let v(d) = h*r(d) - c(d). Let v(x) = 0. What is x?
0, 1/3
Let f(p) = 2*p**2 - 9*p + 10. Let z be f(7). Let n = 45 - z. Factor n - 3/2*j**2 - 1/2*j - 1/2*j**4 - 3/2*j**3.
-j*(j + 1)**3/2
Factor -34/3*c + 63/2*c**2 + 2/3.
(7*c - 2)*(27*c - 2)/6
Let o(d) be the third derivative of -109/600*d**6 - 7/240*d**8 - 1/30*d**4 + 0*d**3 - 10*d**2 - 3/25*d**5 - 3/25*d**7 + 0 + 0*d. What is b in o(b) = 0?
-1, -2/7, 0
Let z be 5/((-75)/(-16)) - (-20 + 21). Let q(a) be the second derivative of 0*a**2 + 0 + 1/6*a**4 + 0*a**3 + 1/21*a**7 - 1/10*a**5 - 2*a - z*a**6. Factor q(i).
2*i**2*(i - 1)**2*(i + 1)
Suppose 30 = -39*h + 45*h. Let s(l) be the third derivative of 0*l**4 + 0*l**h - 1/40*l**6 + 0*l**7 + 0*l + 0 - 6*l**2 + 0*l**3 + 1/112*l**8. Factor s(y).
3*y**3*(y - 1)*(y + 1)
Let s(k) be the third derivative of -k**8/224 + 3*k**7/560 + k**6/120 + 7*k**3/6 + 10*k**2. Let g(v) be the first derivative of s(v). Factor g(x).
-3*x**2*(x - 1)*(5*x + 2)/2
Let n(y) be the second derivative of y**9/7560 + y**8/1680 + y**7/1260 - y**4 - 11*y. Let s(a) be the third derivative of n(a). Find z such that s(z) = 0.
-1, 0
Let v = 3/62 - -13/372. Let y(o) be the first derivative of -v*o**3 - 1/8*o**2 - 2 + 1/2*o. Find p, given that y(p) = 0.
-2, 1
Factor -a**3 - 40*a - a**2 + 0 + 41*a + 1.
-(a - 1)*(a + 1)**2
Let z = -5 + 9. Suppose 0 = -4*q + 3*o + 4 - 3, 4*q = -z*o + 36. Solve -2*j**2 - 2*j**3 + 0*j + 2*j**q + 4*j - 2*j = 0.
-1, 0, 1
Let a be ((-8)/(-4))/((-13)/(-26)). Let k(i) be the first derivative of 0*i**2 - 15/4*i**a + i**3 + 0*i + 12/5*i**5 - 4. Let k(b) = 0. Calculate b.
0, 1/4, 1
Let b = 11928/19 + -628. Let t = b + 73/76. Factor 0*g - 1/2*g**3 - 1/4*g**2 + t*g**4 + 0.
g**2*(g - 1)*(3*g + 1)/4
Let n = 79 + -77. Let p(f) = f**3 - 6*f**2 + f - 3. Let w be p(6). Factor -n*k**4 + 18*k**2 + 6 - k**4 - 24*k + w.
-3*(k - 1)**3*(k + 3)
Let a be (-76)/(-133)*((-85)/(-126) + (-48)/168). Find d, given that 0 + a*d**2 + 2/3*d = 0.
-3, 0
Let c be 3/1 + -5 + 2. Let q be (10 - 6) + -1 + -1 + c. Factor -11*u**3 - 3/4*u + 9*u**q - 1/2.
-(2*u - 1)**2*(11*u + 2)/4
Let v(b) be the first derivative of -4/15*b**5 + 1 - 1/6*b**4 + 0*b - 1/6*b**2 + 1/6*b**6 + 4/9*b**3. Find p such that v(p) = 0.
-1, 0, 1/3, 1
Solve -78/11 + 80/11*j - 2/11*j**2 = 0 for j.
1, 39
Suppose -4 = g, -12 = 9*h - 14*h + 3*g. Let u(l) be the first derivative of -1/8*l**4 + 1/10*l**5 + 0*l**3 + 0*l**2 + 13 + h*l. Find b, given that u(b) = 0.
0, 1
Let s(o) be the first derivative of -o**6/2 + 3*o**5/5 + 14. Let s(c) = 0. What is c?
0, 1
Let x(y) = -11*y**2 - 2896*y + 366037. Let u(o) = -2*o**2 - 482*o + 61006. Let s(t) = -34*u(t) + 6*x(t). Factor s(d).
2*(d - 247)**2
Let z(r) be the first derivative of -3*r**5/16 + 17*r**4/32 - r**3/4 + 21*r**2/2 - 41. Let n(m) be the second derivative of z(m). Suppose n(b) = 0. What is b?
2/15, 1
Let n(d) be the first derivative of 2*d**3/27 + 4*d**2/3 + 22*d/9 - 111. Find r, given that n(r) = 0.
-11, -1
Let c = -46 + 93/2. Let a(k) be the third derivative of 0 - c*k**4 + 0*k**3 + 1/10*k**6 + 11*k**2 + 0*k + 8/15*k**5. Factor a(b).
4*b*(b + 3)*(3*b - 1)
Suppose -2*p = -3*n + 2, n - p = -2*p + 9. Factor 8*c**2 - c**n + c**4 - 4*c**4 - 4.
-4*(c - 1)**2*(c + 1)**2
Let j be ((-244)/10)/(-9 - 561/(-55)). Let f = -424/21 - j. Factor -1/7*r**2 - f - 2/7*r.
-(r + 1)**2/7
Let j be (-1 + -2)*(46 + -47). Factor 1/2*m - j + 3/2*m**3 + 5*m**2.
(m + 1)*(m + 3)*(3*m - 2)/2
Let z(g) be the second derivative of g**5/20 + 11*g**4/40 + g**3/5 - 35*g**2/2 + 30*g. Let b(m) be the first derivative of z(m). Factor b(c).
3*(c + 2)*(5*c + 1)/5
Let t(r) be the second derivative of -r**6/20 + 3*r**4/8 + r**3/2 - 6*r - 2. Let t(i) = 0. Calculate i.
-1, 0, 2
Let z(d) be the first derivative of 5*d**3/6 - 75*d**2/4 - 40*d - 695. Solve z(g) = 0.
-1, 16
Let v(n) be the first derivative of n**6/10 + 13*n**5/20 + 19*n**4/12 + 11*n**3/6 + n**2 - 24*n - 9. Let j(d) be the first derivative of v(d). Factor j(z).
(z + 1)**2*(z + 2)*(3*z + 1)
Let j(r) be the first derivative of r**4/3 + 20*r**3/3 - 22*r**2 + 68*r/3 - 82. Find g such that j(g) = 0.
-17, 1
Let l = 16698/9275 - 3/9275. Factor l*s - 3/5*s**2 - 6/5.
-3*(s - 2)*(s - 1)/5
Suppose 4 = -k + 3. Let g(u) = u**2 - 2*u - 1. Let m be g(k). Factor -19 + 0*s**m - s**2 + 3 + 8*s.
-(s - 4)**2
Suppose 4*g - 39 + 19 = 0. Find y such that 4*y**3 + y**g + 101*y**2 - 100*y**2 + 2*y - y**4 - 7*y**3 = 0.
-1, 0, 1, 2
Let f(w) be the first derivative of 2 - w + 1/10*w**5 + w**3 + w**2 + 1/2*w**4. Let g(m) be the first derivative of f(m). Determine n so that g(n) = 0.
-1
Let f be (-9)/2*520/(-585). Factor 0 - 46/5*r**2 + 2*r**3 - f*r.
2*r*(r - 5)*(5*r + 2)/5
Let o be 1*((-2)/(-8) - (-3)/(-12)). Suppose -x = -4*n, 4*n - 2*n + 4*x = o. Factor n*r**2 - 3/7*r**4 - 12/7*r + 9/7*r**3 + 0.
-3*r*(r - 2)**2*(r + 1)/7
Let q(w) be the third derivative of 1/132*w**4 + 3*w**2 - 1/330*w**5 + 0*w + 1/1155*w**7 - 1/660*w**6 + 0 + 0*w**3. Let q(t) = 0. Calculate t.
-1, 0, 1
Let p be -2 - (-2 + (-10)/15*-3). Let g be (-30)/(-7) + (p + 4)*-2. Factor -g*c - 4/7*c**2 - 2/7*c**3 + 0.
-2*c*(c + 1)**2/7
Suppose 4*q + 0*y - 45 = 5*y, -2*q + 17 = 3*y. Suppose 0 = q*a - 23 + 3. Determine f so that 2/9*f - 2/9*f**a + 0 = 0.
0, 1
Determine f, given that 20*f**3 + 2*f**2 - 2*f**2 + 6*f**2 - 19*f**3 = 0.
-6, 0
Let t