(l).
4*(l - 3)*(l + 1)
Let o(x) be the first derivative of 0*x**2 + 0*x - 3/20*x**4 + 1/5*x**3 - 1. Let o(s) = 0. What is s?
0, 1
Let y(v) be the first derivative of -2*v**5/85 - v**4/17 + 8*v**3/51 + 2*v**2/17 - 6*v/17 - 7. Solve y(a) = 0.
-3, -1, 1
Let g(c) be the first derivative of -c**5/30 - c**4/24 + c**3/9 + 15. What is i in g(i) = 0?
-2, 0, 1
Let l(h) be the second derivative of 2*h**7/7 - 28*h**6/15 + 26*h**5/5 - 8*h**4 + 22*h**3/3 - 4*h**2 + 4*h. Factor l(x).
4*(x - 1)**4*(3*x - 2)
Let f(s) be the first derivative of s**5/15 - 2*s**4/3 + 8*s**3/3 - 5*s**2 - 1. Let b(m) be the second derivative of f(m). Factor b(x).
4*(x - 2)**2
Let v be (6/8)/(1/((-224)/(-60))). Factor -v*c**2 - 2*c + 4/5.
-2*(c + 1)*(7*c - 2)/5
Solve 4/3*f**3 - 4/3*f - 2/3*f**4 + 2/3 + 0*f**2 = 0 for f.
-1, 1
Let n(j) = 4*j**2 - 2*j - 6. Let u(x) be the third derivative of -x**5/12 + x**4/12 + 7*x**3/6 + 3*x**2. Let z(g) = -6*n(g) - 5*u(g). Factor z(v).
(v + 1)**2
Let a(d) be the third derivative of -d**5/20 - d**4/4 - d**3/2 - 6*d**2. Suppose a(r) = 0. Calculate r.
-1
Suppose 0 = -4*g + 63 - 23. Suppose 22 = 3*d + g. Find k such that k**2 + 4 - d + 0 = 0.
0
Determine v, given that 5*v**4 + 12*v**5 - 7*v**5 - 2*v**4 - 19*v**2 - 17*v**3 + 4 = 0.
-1, 2/5, 2
Let m = 68 + -62. Let q(y) be the second derivative of 1/80*y**5 - 1/120*y**m + 0*y**4 + 0*y**3 + 0 + 4*y + 0*y**2. Suppose q(b) = 0. Calculate b.
0, 1
Suppose 0 = -b + 3 + 4. Let -4*x - 2*x**3 + b*x**2 - x**2 + 0*x**2 = 0. What is x?
0, 1, 2
Let n(g) = -7*g**3 + 2*g**2. Let v(r) = -6*r**3 + 2*r**2. Let m = 18 - 8. Suppose b + 0*b = 5*z + 29, 0 = -2*z - m. Let j(s) = b*n(s) - 5*v(s). Solve j(w) = 0.
0, 1
Let l(a) be the first derivative of 4*a**5/5 - a**4 - 4*a**3/3 + 2*a**2 - 3. Determine g so that l(g) = 0.
-1, 0, 1
Let c be (-4)/10 - 231/(-315). Factor c*l**3 + 0 + l**2 + 2/3*l.
l*(l + 1)*(l + 2)/3
Let n(d) be the third derivative of 1/45*d**6 + 0*d + 4/9*d**4 + d**2 - 1/630*d**7 - 8/9*d**3 - 2/15*d**5 + 0. Factor n(w).
-(w - 2)**4/3
Let s(u) = 6*u**3 + 2*u + 2. Let c(z) = z**3 + z. Let n = 9 - 4. Let x(h) = n*c(h) - s(h). Let x(v) = 0. What is v?
-2, 1
Let d(c) be the first derivative of c**4/36 + c**3/9 + c**2/6 - 2*c - 2. Let y(x) be the first derivative of d(x). Let y(t) = 0. Calculate t.
-1
Let q(j) be the third derivative of -3*j**8/392 + 9*j**7/490 - j**6/840 - j**5/60 - j**4/168 - 18*j**2. Let q(p) = 0. What is p?
-1/3, -1/6, 0, 1
Let t(x) be the second derivative of 5*x + 0*x**2 + 1/6*x**3 + 0 - 1/12*x**4. Factor t(g).
-g*(g - 1)
Let b = 4 - 24. Let a = b - -22. Solve -1/2 - 3/2*p**a + 1/2*p**3 + 3/2*p = 0 for p.
1
Suppose 4 = 5*q + 3*y, 5*y + 12 + 6 = 4*q. Let m = 1 + q. Factor 5*v**3 + 2*v + 0*v**2 - 3*v**m - 4*v**2.
2*v*(v - 1)**2
Let w(o) be the second derivative of -o**8/10080 - o**7/1890 - o**6/1080 + o**4/6 + 4*o. Let g(y) be the third derivative of w(y). Factor g(a).
-2*a*(a + 1)**2/3
Let p be (-6)/9 - 4/(-6). Let h = -3/95 - -211/665. Determine z, given that p*z + 0 + h*z**2 = 0.
0
Let r(z) be the first derivative of -z**7/42 + 3*z**5/20 - z**4/6 + z - 6. Let w(s) be the first derivative of r(s). Suppose w(m) = 0. Calculate m.
-2, 0, 1
Let f = 8 + -54/7. Suppose 8/7*u - f*u**2 - 8/7 = 0. What is u?
2
Let u be 3 - -3 - (0 + 2). Suppose 2 = 5*z - u*c, z - 4*z + 2*c = -2. Determine l, given that -2 - 11*l + 4*l**3 + 4*l**z + 9*l + 0*l**2 - 2*l**5 - 2*l**4 = 0.
-1, 1
Let c be 6/6 - -4 - (2 - 1). Suppose -2/9*i**2 + 0 + 2/9*i**3 + 2/9*i**c - 2/9*i = 0. What is i?
-1, 0, 1
Let a be 1519/504 + 3*-1. Let y(n) be the third derivative of 0 - 1/180*n**5 + 1/18*n**3 + 0*n - 2*n**2 - 1/360*n**6 + a*n**4. Factor y(v).
-(v - 1)*(v + 1)**2/3
Let r(d) = -d**3 - 1. Let z(v) = -v**5 + v**4 + 2*v**3 + 2. Let y(s) = -6*r(s) - 3*z(s). Find c, given that y(c) = 0.
0, 1
Let u(s) be the third derivative of 1/100*s**5 - 1/120*s**4 + 3*s**2 + 1/1050*s**7 + 0*s - 1/200*s**6 + 0*s**3 + 0. Factor u(x).
x*(x - 1)**3/5
Let t(p) be the first derivative of -5*p**3/6 - 15*p**2/4 + 10*p + 21. Suppose t(h) = 0. What is h?
-4, 1
Let o(l) = -47*l**3 - 95*l**2 - 64*l - 5. Let q(w) = -24*w**3 - 48*w**2 - 32*w - 2. Let n(c) = 6*o(c) - 11*q(c). Determine s so that n(s) = 0.
-1, -2/3
Suppose -1 + 10 = 3*c. Factor c*v**2 + 3*v + v**3 - 7*v**3 + 0*v**3 - 3*v**4 + 3*v**3.
-3*v*(v - 1)*(v + 1)**2
Let c = 2 - 0. Determine p, given that 4*p**2 - c*p**4 - p + p**3 - p**3 - 2*p**2 + p**5 = 0.
-1, 0, 1
Let w(b) be the second derivative of 16*b**7/21 - 8*b**6/5 + b**5/10 + b**4 + b**3/3 - 24*b. Factor w(c).
2*c*(c - 1)**2*(4*c + 1)**2
Suppose 0 = -2*u - 4*t - 2, 2*t = -3*u + 10 - 5. Suppose 1/5*w**4 + 0 + 3/5*w**u + 1/5*w + 3/5*w**2 = 0. What is w?
-1, 0
Let y(x) = 2*x**2 + 2*x. Let c be -4 + 0 + (5 - 3). Let o be y(c). Factor 2*n**5 - n**3 + 2*n**4 + n**4 - o*n**5.
-n**3*(n - 1)*(2*n - 1)
Let d be 1*(-5)/20*-1. Let v(b) be the first derivative of 1/8*b**6 - 3/8*b**4 + 3/8*b**2 - d*b + 1/6*b**3 + 1 - 1/20*b**5. Find n such that v(n) = 0.
-1, 1/3, 1
Suppose -2*n + n = 63. Let g = n - -443/7. Factor g*a**2 + 2/7*a + 0.
2*a*(a + 1)/7
Let a be (-20)/(-130) + (-24)/(-13). Suppose -2*t = a, r - t = -r + 5. What is w in 2/3*w**r - 1/3*w - 2/3 + 1/3*w**3 = 0?
-2, -1, 1
Let g(i) = i**3 + 5*i - 6. Let c(w) = -w**3 + w**2 - 4*w + 6. Let r(j) = -3*c(j) - 2*g(j). Let a be r(3). Factor a - 2/9*f**2 - 16/9*f**3 + 0*f - 32/9*f**4.
-2*f**2*(4*f + 1)**2/9
Let t(d) be the second derivative of -d**5/10 + d**4/12 + d**3/6 + 3*d. Factor t(q).
-q*(q - 1)*(2*q + 1)
Let y(x) be the third derivative of x**8/1176 - x**6/140 - x**5/105 + 6*x**2. What is i in y(i) = 0?
-1, 0, 2
Let y(w) = -2*w**3 + 60*w**2 + 62*w. Let r be y(31). Factor 0 + 0*b**3 + 0*b + r*b**2 + 0*b**4 - 2/5*b**5.
-2*b**5/5
Factor 3/2 - 9/4*m + 3/4*m**2.
3*(m - 2)*(m - 1)/4
Factor 16*b + 220*b**3 + 16*b**2 + 110*b**2 - 726*b**4 + 26*b**2.
-2*b*(3*b - 2)*(11*b + 2)**2
Suppose 3*j - 18 = y, 3*y - 5*j + 34 = -j. Let d be 9/360 + y/(-16). Factor 0*z + 0*z**2 + 0*z**4 - 2/5*z**3 + 0 + d*z**5.
2*z**3*(z - 1)*(z + 1)/5
Let m be ((-3)/(-4))/(5130/80). Let l = 332/855 + m. Factor 0*u**2 + l*u**4 + 0 + 0*u + 2/5*u**3.
2*u**3*(u + 1)/5
Let k(u) be the second derivative of -u**7/525 - u**6/100 - u**5/50 - u**4/60 + u**2/2 + 3*u. Let i(s) be the first derivative of k(s). Factor i(p).
-2*p*(p + 1)**3/5
Let m(h) be the first derivative of 1/75*h**5 + 2 + 1/900*h**6 + 0*h**2 + 1/15*h**4 + 1/3*h**3 + 0*h. Let u(v) be the third derivative of m(v). Factor u(j).
2*(j + 2)**2/5
Let c(y) be the third derivative of -y**6/30 + 4*y**5/15 - 2*y**4/3 + y**2. Suppose c(t) = 0. What is t?
0, 2
Let i(t) be the second derivative of 7*t**5/12 - t**4/9 - 25*t**3/18 - t**2 + 7*t. Determine x so that i(x) = 0.
-3/5, -2/7, 1
Let r be (-130)/(-200) - (-2)/8. Let v = r - 2/5. Factor -1/4*t**3 + v*t**2 - 1/4*t + 0.
-t*(t - 1)**2/4
Determine m so that 2 + 0*m**3 - 3*m + 2*m**3 + 0*m**2 - 3*m**2 - 3*m**4 + 5*m**3 = 0.
-2/3, 1
Let y be -4*((-105)/20 + 4). Let d(n) be the third derivative of 0*n + 0 + 1/210*n**7 + 0*n**6 + 2*n**2 + 0*n**4 - 1/60*n**y + 0*n**3. Solve d(b) = 0 for b.
-1, 0, 1
Factor -10/9*f + 2/9*f**2 + 0.
2*f*(f - 5)/9
Suppose 1 = 2*h - 5. Suppose p + h*p - 16 = 0. Suppose 15*s + 98*s**5 - 146*s**2 - 8 - 7*s**3 - 75*s - 4*s + 154*s**p - 27*s**3 = 0. Calculate s.
-1, -2/7, 1
Let t(h) = -20*h**3 - 59*h**2 + 44*h + 13. Let x(m) = -5*m**3 - 15*m**2 + 11*m + 3. Let k(d) = 6*t(d) - 22*x(d). Factor k(f).
-2*(f - 1)*(f + 3)*(5*f + 2)
Let u(b) = -b + 8. Let c be u(6). Factor 2*p**2 + 5*p**2 + 2*p + p**c.
2*p*(4*p + 1)
Let w(c) be the third derivative of -c**10/378000 + c**8/50400 + c**5/15 - 3*c**2. Let q(g) be the third derivative of w(g). Factor q(s).
-2*s**2*(s - 1)*(s + 1)/5
Let v = -61 - -61. Find x, given that v + 16/5*x**2 + 48/5*x**4 - 2/5*x - 18/5*x**5 - 44/5*x**3 = 0.
0, 1/3, 1
Let i(v) be the third derivative of 1/630*v**7 + 1/60*v**5 + 0 + 0*v + 1/120*v**6 + 1/72*v**4 - 2*v**2 + 0*v**3. Factor i(p).
p*(p + 1)**3/3
Let o(y) = y**3 + 5*y**2 + 4*y. Let j be o(-4). Find x, given that -4/3*x**3 + 2/3*x**5 + j*x**4 + 2/3*x + 0 + 0*x**2 = 0.
-1, 0, 1
Let b(r) be the first derivative of r**5/2 - 15*r**4/8 + 5*r**3/6 + 15*r**2/4 - 5*r - 17. Suppose b(q) = 0. Calculate q.
-1, 1, 2
Let b = 3/40 - -13/40. Determine i, given that 0 + 2/5*