 - 1/150*b**5 - b**2 + 1/20*b**4 + 0*b. Factor y(c).
-2*(c - 2)*(c - 1)/5
Let k(p) be the third derivative of -p**8/672 - p**7/70 + p**6/10 + 2*p**5/3 - 7*p**4 + 24*p**3 - 30*p**2 + 3. Suppose k(d) = 0. Calculate d.
-6, 2
Suppose 0 - 4/3*u**2 - 1/6*u**3 - 2*u = 0. Calculate u.
-6, -2, 0
Let a(f) be the second derivative of 24*f**2 + 10*f + 1/4*f**4 + 0 - 4*f**3. Factor a(o).
3*(o - 4)**2
Let x = 202 - 193. Suppose 7*b + 12 = 10*b - 4*u, -5*b = 3*u + x. What is h in -h**2 + 3/2*h**3 + b - 1/2*h**5 + 0*h**4 + 0*h = 0?
-2, 0, 1
Find d, given that -2/5*d**5 + 0*d + 0*d**2 + 2/5*d**4 + 0 + 0*d**3 = 0.
0, 1
Let a(y) be the third derivative of -y**6/324 - y**5/45 - y**4/27 + y**3/6 + 9*y**2. Let r(n) be the first derivative of a(n). Let r(w) = 0. What is w?
-2, -2/5
Let p(f) be the third derivative of -f**5/270 + 11*f**4/108 + 505*f**2. Factor p(c).
-2*c*(c - 11)/9
Let h = -316/11 - -19919/693. Let y(u) be the second derivative of -2*u + 0 - 7/135*u**6 - 1/18*u**5 - 1/54*u**4 - h*u**7 + 0*u**3 + 0*u**2. Factor y(m).
-2*m**2*(m + 1)**2*(3*m + 1)/9
Let h(w) be the second derivative of -1/120*w**6 - 1/24*w**4 + 0*w**3 - 3*w + 2*w**2 + 0 - 1/30*w**5. Let t(m) be the first derivative of h(m). Factor t(i).
-i*(i + 1)**2
Let l(s) be the third derivative of s**5/90 + 13*s**4/36 + 14*s**3/3 - 676*s**2. Find o, given that l(o) = 0.
-7, -6
Let z be 8*-3*((-8)/6 + 1). Factor h**4 - 2*h**5 + 6*h**3 + 0*h**3 + 3*h**4 - z*h**3.
-2*h**3*(h - 1)**2
Suppose 5*o + 0*c = c + 711, -2*o + 2*c + 286 = 0. Let z = -708/5 + o. Factor 0 - 2/5*r**2 - z*r.
-2*r*(r + 1)/5
Let f be ((-1 - -2) + 2)*(-2)/2. Let r be (10/4 + f)/((-4)/16). Factor 2 + 1/2*u**2 - r*u.
(u - 2)**2/2
Suppose 3*g = 6*g - 96. Let s = -23 + g. Factor 2*f**2 + 0*f**3 - s + 9 - f**3.
-f**2*(f - 2)
Let u(m) be the second derivative of m**5/120 + m**4/12 + m**3/3 + 11*m**2/2 + 3*m. Let o(n) be the first derivative of u(n). Find p, given that o(p) = 0.
-2
Factor -6*o + 24*o**5 + 2/3 + 2*o**2 + 64*o**4 + 146/3*o**3.
2*(o + 1)**3*(6*o - 1)**2/3
Let p(t) = 5*t. Let g(w) = 4*w**2 - 4*w + 4. Let v(l) = 3*l**2 - 4*l + 3. Let x(b) = -4*g(b) + 5*v(b). Let o(r) = -6*p(r) - 5*x(r). Let o(y) = 0. What is y?
1
Let o(q) be the third derivative of 0*q - 1/60*q**5 - 1/12*q**4 + 8*q**2 + 2/3*q**3 + 0 + 1/240*q**6. Factor o(j).
(j - 2)**2*(j + 2)/2
Let m be (-15)/(-6) + 50/(-25). Determine q so that -1/2*q**3 + 1/2 - 1/2*q**2 + m*q = 0.
-1, 1
Let z(a) be the second derivative of -a**4/4 + 5*a**3/2 + 58*a. Let z(w) = 0. Calculate w.
0, 5
Let t(c) be the first derivative of -5/3*c**3 + 15/2*c**2 - 10*c + 10. Let t(x) = 0. What is x?
1, 2
Let -800*c - 42*c**3 + 0*c**4 - 4*c**4 + 3*c**4 + 124*c**2 - 278*c**2 - 326*c**2 = 0. What is c?
-20, -2, 0
Let u(x) be the first derivative of -x**5/5 + 65*x**4/36 - 14*x**3/27 - 31. Factor u(w).
-w**2*(w - 7)*(9*w - 2)/9
Let x(f) = -4*f**3 - 3*f**2 + 7*f. Let m(c) = 13*c**3 + 8*c**2 - 19*c - 2. Let w(r) = 6*m(r) + 21*x(r). Factor w(z).
-3*(z - 1)*(z + 4)*(2*z - 1)
Let v = 49/268 + 9/134. Let k(n) be the first derivative of -v*n - 1/32*n**4 + 1/12*n**3 + 9 + 1/16*n**2. Determine p so that k(p) = 0.
-1, 1, 2
Factor -12*a**4 + 0*a + 30*a**3 + 0 - 3/2*a**5 + 0*a**2.
-3*a**3*(a - 2)*(a + 10)/2
Let 220*g**3 - 32*g - 111*g**3 - 119*g**3 + 84*g**2 = 0. What is g?
0, 2/5, 8
Find s such that -29*s**2 - 1620 - 2*s - 23*s + 4*s**3 + 56*s**2 + 25*s**2 - 11*s = 0.
-9, 5
Let r be (-2)/(42/(-57)) + 104/364. Let -3/4 + 3/2*w**2 - 3/4*w**4 - 3/4*w + 3/2*w**r - 3/4*w**5 = 0. Calculate w.
-1, 1
Let g(u) = -9*u**2 + 19*u - 4. Let v(o) = -19*o**2 + 38*o - 11. Let y(n) = 13*g(n) - 6*v(n). Factor y(q).
-(q - 7)*(3*q + 2)
Let y(u) = -14*u**2 + 18*u - 6. Let q(n) = 5*n**2 - 6*n + 2. Let w(j) = -11*q(j) - 4*y(j). Let o be w(0). Solve -2/9*r - 2/9*r**o + 0 = 0.
-1, 0
Let q be 57*(2 + (-11)/3). Let v be q/35 + 3 + 12/7. Factor 0*c**v - 2*c**5 + 4/7*c**3 + 0 + 0*c - 10/7*c**4.
-2*c**3*(c + 1)*(7*c - 2)/7
Let z(k) = -4*k**2 + 2*k**2 + k + k. Let p(r) = 5*r**2 + 4*r**2 - 17*r**2 - 1 - 6*r + 14*r**2. Let f(s) = 4*p(s) + 11*z(s). Factor f(l).
2*(l - 2)*(l + 1)
Let d = 10153/4 - 2538. Let -5*c**3 - c**5 + 0*c - d + 5/2*c**2 + 15/4*c**4 = 0. What is c?
-1/4, 1
Let n(g) = 11*g**4 + 11*g**3 - 10*g**2. Let c(l) be the second derivative of 3*l**6/2 + 9*l**5/4 - 10*l**4/3 + 10*l. Let y(j) = -6*c(j) + 25*n(j). Factor y(f).
5*f**2*(f - 1)*(f + 2)
Let o(p) be the third derivative of 1/525*p**7 + 0 + 0*p**3 + 1/150*p**6 - 1/840*p**8 + 0*p**5 + 7*p**2 + 0*p + 0*p**4. Factor o(f).
-2*f**3*(f - 2)*(f + 1)/5
Suppose 22 = 4*k + 3*f - 10, -f = 2*k - 14. Suppose -k*i = -47 + 17. Factor -d**3 - 3*d**3 - 12*d - i*d**2 + 18*d**2 + 4.
-4*(d - 1)**3
Let t(j) be the first derivative of -4*j**4/5 + 4*j**3 + 10*j**2 - 23. Factor t(x).
-4*x*(x - 5)*(4*x + 5)/5
Let p be (-10)/(-5) - (-1)/(-1). Suppose -2*r + q - p = -0*r, 5*r = 4*q - 4. Determine o, given that 0 + 0*o + r*o**2 + 2/9*o**5 - 8/9*o**4 + 2/3*o**3 = 0.
0, 1, 3
Let u = 2109 - 2106. Factor 9/2*n**2 + 36*n**4 + 1/4*n + 0 + 97/4*n**u + 16*n**5.
n*(n + 1)**2*(8*n + 1)**2/4
Let p(b) = -25 + 15 + 4 - 3*b**2. Let g(c) = c**2 + 3. Let q(z) = 9*g(z) + 4*p(z). Factor q(x).
-3*(x - 1)*(x + 1)
Let z be 9/54 + (-76)/(-120). Factor -j - z - 1/5*j**2.
-(j + 1)*(j + 4)/5
Let k = 1935 + -1933. What is w in k + 1/2*w**4 - 6*w - 3*w**3 + 13/2*w**2 = 0?
1, 2
Let k(s) be the second derivative of -2*s**6/15 - 8*s**5/25 + 13*s**4/5 - 68*s**3/15 + 16*s**2/5 - 52*s. Suppose k(f) = 0. What is f?
-4, 2/5, 1
Let y(d) be the second derivative of -d**4/9 - 14*d**3/3 + 44*d**2/3 + 9*d - 31. Factor y(q).
-4*(q - 1)*(q + 22)/3
Factor 3/2*i**3 - 363/2 - 69/2*i**2 + 429/2*i.
3*(i - 11)**2*(i - 1)/2
Suppose 2*n = 4*p - n - 9, -2*p + 9 = -3*n. Suppose p = 2*i + 2, 5*a + 3*i - 37 = -0*i. Suppose -5*j**4 - a*j**2 + 4*j**5 + 13*j**4 + 3*j - 7*j = 0. What is j?
-1, 0, 1
Factor 0*q**2 + 0*q + 5/2*q**4 - 5/4*q**5 + 0 + 315/4*q**3.
-5*q**3*(q - 9)*(q + 7)/4
Let s(m) be the first derivative of -m**3/3 + m**2 + 5*m - 23. Let l be s(0). Solve 1/2*x**l + 0 - 1/2*x**3 + 1/2*x**2 - 1/2*x**4 + 0*x = 0.
-1, 0, 1
Let f(s) = -107 - 10 + 144*s - 36*s**2 - 93 + 21 + 6*s**3. Let r(y) = y**3 + 1. Let i(w) = -f(w) + 3*r(w). Factor i(o).
-3*(o - 4)**3
Suppose -y + 135 = -4*y. Let o be 120/14 + (-9)/(y/(-20)). Find r, given that 1/7*r**4 + 24/7*r**2 + 16/7 - 8/7*r**3 - o*r = 0.
2
Let p(a) be the third derivative of a**7/105 + a**6/30 - a**5/10 - a**4/3 + 4*a**3/3 - 59*a**2. Solve p(b) = 0.
-2, 1
Let u(j) be the second derivative of -9/2*j**2 - j**3 - 5*j + 0 - 1/12*j**4. Determine y, given that u(y) = 0.
-3
Let o(s) = -225*s + 2702. Let u be o(12). Let 1 - 4/3*i + 1/3*i**u = 0. Calculate i.
1, 3
Let q be (1/(-4))/((-838)/(-40) - 21). Determine s, given that -2/3*s + 8/3*s**2 - 2/3*s**q + 0 - 4*s**3 + 8/3*s**4 = 0.
0, 1
Factor 16/7*o**2 + 32/7 + 2/7*o**3 + 40/7*o.
2*(o + 2)**2*(o + 4)/7
Let i(a) be the first derivative of a**5/20 - 17*a**4/16 + 487. Suppose i(p) = 0. Calculate p.
0, 17
Let k(d) = -3*d + 3*d + d - 5. Let y be k(7). Factor w - 1 + 1 + w**2 + 0*w**y.
w*(w + 1)
Find c, given that 7*c**5 + 469*c**2 + 130*c**4 + 109*c + 471*c**3 - 11*c - 23*c**4 = 0.
-7, -1, -2/7, 0
Let h = 12 - 59/5. Let k(d) be the first derivative of -8 - 1/30*d**6 + h*d**3 - 1/20*d**4 - 3/25*d**5 + 1/5*d**2 + 0*d. Solve k(c) = 0 for c.
-2, -1, 0, 1
Find w such that -5/3*w**3 + 50/3 - 50/3*w**2 + 5/3*w = 0.
-10, -1, 1
Let r(l) = 48*l**2 + 1248*l. Let z be r(-26). Let -4/7*u**4 - 2/7*u**5 + z*u + 0 + 8/7*u**3 + 16/7*u**2 = 0. Calculate u.
-2, 0, 2
Let r(b) be the first derivative of -b**3/6 - b**2 + 6*b - 62. Solve r(y) = 0.
-6, 2
What is t in 246/19*t**3 - 24/19 - 82/19*t**4 + 176/19*t - 326/19*t**2 + 10/19*t**5 = 0?
1/5, 1, 2, 3
Let z(x) = x**3 - 6*x**2 + 4*x - 6. Let k be z(6). Find g, given that 8*g**2 + 29*g**2 - 25*g + k*g**2 - 10 - 20*g**3 = 0.
-1/4, 1, 2
Let s(t) be the first derivative of t**4/22 + 16*t**3/33 + 13*t**2/11 + 12*t/11 - 328. Factor s(z).
2*(z + 1)**2*(z + 6)/11
Let y(f) be the first derivative of f**6/54 - 8*f**5/15 + 56*f**4/9 - 1024*f**3/27 + 128*f**2 - 2048*f/9 - 904. Factor y(t).
(t - 8)*(t - 4)**4/9
Let k(v) be the third derivative of -v**5/390 + 29*v**4/156 - 28*v**3/39 - 12*v**2 + 6*v. Factor k(n).
-2*(n - 28)*(n - 1)/13
Let s be 2840/18 - (-2 