5*j + t*j**2 - 105*j**3 + 24/5.
(j - 3)*(5*j - 2)**3/5
Let n(x) be the second derivative of 242*x**7/63 - 539*x**6/90 - 941*x**5/60 + 71*x**4/18 + 26*x**3/9 - 4*x**2/3 - 9*x - 4. Determine c, given that n(c) = 0.
-1, -1/4, 2/11, 2
Let d be (1/((-8)/(-2)))/(126/288). Factor 0*u + d*u**3 + 0 - 2/7*u**2 - 2/7*u**4.
-2*u**2*(u - 1)**2/7
Factor -2*i**4 + 2*i**3 - 5*i**5 + 2*i**2 - 9*i**5 + 12*i**5.
-2*i**2*(i - 1)*(i + 1)**2
Let m(b) = -b**2 - b - 35. Let f be m(0). Let v be f/(-14)*2/20. Factor -1/4*t - 1/4*t**2 + v*t**3 + 1/4.
(t - 1)**2*(t + 1)/4
Factor -8/5*b + 16/15 + 4/5*b**2 - 2/15*b**3.
-2*(b - 2)**3/15
Let d be (-1770)/(-55) - (-4)/(-22). Factor -34*f**4 + 2*f**5 - f**5 + 2*f**2 - f + d*f**4.
f*(f - 1)**3*(f + 1)
Let d(n) be the first derivative of n**4/3 - 28*n**3/9 + 10*n**2 - 12*n - 9. Factor d(f).
4*(f - 3)**2*(f - 1)/3
Let w(m) be the second derivative of -m**6/60 + m**5/15 - m**4/12 - 3*m**2/2 + m. Let i(b) be the first derivative of w(b). Solve i(t) = 0.
0, 1
Let p(h) be the first derivative of -h**4/4 + 6*h**3 - 54*h**2 + 216*h + 3. Factor p(l).
-(l - 6)**3
Let m(p) be the first derivative of p**6/63 - 4*p**5/105 + 4*p**3/63 - p**2/21 - 8. Find z such that m(z) = 0.
-1, 0, 1
Let n(l) = 4*l - 1. Let r be n(1). Suppose -15 = 3*u - 3*k, -2*k + 5 = u - 5. Determine a, given that u*a - 2/3*a**2 + 2/3*a**4 + 0 + 0*a**r = 0.
-1, 0, 1
Let j(b) be the second derivative of -b**5/80 - b**4/48 + b**3/24 + b**2/8 + 16*b. Suppose j(m) = 0. Calculate m.
-1, 1
Let n(f) = -5*f**2 - f + 12. Let c(d) = -16*d**2 - 4*d + 36. Let s(m) = 3*c(m) - 10*n(m). Find h such that s(h) = 0.
-2, 3
Let p(f) = -f**5 - 9*f**4 - 5*f**3 - 5*f - 5. Let a(v) = 8*v**4 + 4*v**3 + 4*v + 4. Let o(z) = 5*a(z) + 4*p(z). Factor o(l).
-4*l**4*(l - 1)
Let u(q) be the first derivative of q**4/96 + 7*q - 4. Let z(n) be the first derivative of u(n). Find c, given that z(c) = 0.
0
Suppose 11 = 4*m - 1. Let d(s) = -3*s + 1. Let v be d(-1). Let -c + 4*c**4 - 2*c**2 - 2*c**v - m*c + 4*c**3 = 0. What is c?
-2, -1, 0, 1
Let m(p) be the third derivative of p**5/210 + 5*p**4/28 - 24*p**2. Determine r so that m(r) = 0.
-15, 0
Let c be 3*(-3)/(27/(-6)). Let o be (-3 - c)*4/(-5). Determine f, given that 5*f**2 + 2*f - 2*f**2 + 3*f**2 - 2 - o*f**4 - 2*f**3 = 0.
-1, 1/2, 1
Let d = 3389/8275 - -17/993. Let o = -2/75 + d. Determine x so that o*x**4 + 8/5*x**3 - 8/5*x**5 + 0 + 0*x - 2/5*x**2 = 0.
-1, 0, 1/4, 1
Let n be 4 + 3 + -4 + -1. Let h(r) be the second derivative of 1/80*r**5 + 0*r**4 + 0 - 1/120*r**6 + 0*r**n + 0*r**3 + 2*r. Solve h(p) = 0.
0, 1
Let q(y) be the second derivative of -y**5/50 + y**4/60 + y**3/15 - y**2/10 - 3*y. Determine p so that q(p) = 0.
-1, 1/2, 1
Let m(t) = -54*t**2 - 3*t + 4 + 2*t - 59*t**3 - 12*t - 1. Let s(g) = -29*g**3 - 27*g**2 - 7*g + 1. Let h(v) = 2*m(v) - 5*s(v). Factor h(p).
(3*p + 1)**3
Let z be (3/6)/((-55)/(-5))*8. Factor 0 - 2/11*i + z*i**2 - 4/11*i**4 + 2/11*i**5 + 0*i**3.
2*i*(i - 1)**3*(i + 1)/11
Let b(l) be the second derivative of l**4/24 - l**3/3 + l**2 - 11*l. Suppose b(o) = 0. What is o?
2
Let b(s) be the second derivative of s**4/48 + s**3/24 + 6*s. Find o such that b(o) = 0.
-1, 0
Let b be 1*(1/1 + -1). Suppose v = 2 - b. Factor 10/9*l**v + 0 - 2/9*l - 14/9*l**3 + 2/3*l**4.
2*l*(l - 1)**2*(3*l - 1)/9
Let f(n) be the first derivative of -n**4/10 - 8*n**3/45 - n**2/15 + 2. Factor f(a).
-2*a*(a + 1)*(3*a + 1)/15
Let l(j) be the second derivative of -j**4/32 - 5*j**3/48 + j**2/8 + 4*j. Factor l(t).
-(t + 2)*(3*t - 1)/8
Suppose -2*m + 7 - 3 = 0. Let j(h) be the first derivative of 2/5*h**3 + 0*h + 2/5*h**m - 3. Factor j(c).
2*c*(3*c + 2)/5
Let i(t) be the first derivative of -t**4 - 4*t**3/3 + 8. Suppose i(a) = 0. Calculate a.
-1, 0
Let t(w) = w**4 - w**3 - w**2 - w + 1. Let i(g) = 31*g**4 - 11*g**3 - 22*g**2 - 10*g + 6. Let j(c) = 5*i(c) - 30*t(c). What is h in j(h) = 0?
-2/5, 0, 1
Let w(r) be the third derivative of -1/40*r**6 + 0 + 5*r**2 - 3/8*r**4 + 3/20*r**5 + 0*r + 1/2*r**3. Factor w(m).
-3*(m - 1)**3
Let i(a) be the first derivative of 0*a**3 - 1/4*a**2 + 0*a + 3 + 1/8*a**4. Solve i(j) = 0.
-1, 0, 1
Let n(y) be the first derivative of 3*y**4/20 + 3*y**3/5 + 9*y**2/10 + 3*y/5 + 4. What is u in n(u) = 0?
-1
What is q in 58*q**2 - 200*q**3 - 20*q + 62*q**2 + 5*q**4 + 40*q**4 + 55*q**3 = 0?
0, 2/9, 1, 2
Factor -4*i**2 + 3*i - 16*i**2 - 3*i**3 + 3 + 17*i**2.
-3*(i - 1)*(i + 1)**2
Let q = -81 + 245/3. Let -q + 2*j - 2*j**2 + 2/3*j**3 = 0. What is j?
1
Let n = -71 - -75. Let u(j) be the third derivative of 0 - 1/420*j**6 - 1/210*j**5 + 0*j**n + 0*j**3 + 0*j - 3*j**2. Factor u(a).
-2*a**2*(a + 1)/7
Let z(p) = 3*p**2 + 24*p + 3. Let m(c) = 9*c**2 + 71*c + 8. Let n(b) = -3*m(b) + 8*z(b). Determine r so that n(r) = 0.
-7, 0
Let u(j) be the first derivative of -3*j**5 + 27*j**4/4 - 3*j**3 - 3*j**2/2 + 4. Determine s, given that u(s) = 0.
-1/5, 0, 1
Let y(l) be the third derivative of 1/54*l**4 + 0*l - 1/270*l**6 - l**2 + 0 - 1/270*l**5 + 0*l**3 + 1/945*l**7. Factor y(m).
2*m*(m - 2)*(m - 1)*(m + 1)/9
Let m(t) be the third derivative of -t**7/315 - t**6/60 - t**5/30 - t**4/36 + 7*t**2. Let m(d) = 0. What is d?
-1, 0
Let o(u) be the first derivative of -u**7/1960 + u**5/280 - 7*u**3/3 + 1. Let j(b) be the third derivative of o(b). Solve j(a) = 0.
-1, 0, 1
Let k be 3 - (-1 + 0 - -2). Let b be k - ((-16)/(-6) + -2). Find g such that -2/3*g - 2/3*g**3 + 0 + b*g**2 = 0.
0, 1
What is o in 2*o**3 - 5*o**2 + 41*o**2 - 12*o + 12*o**3 + 7*o**3 = 0?
-2, 0, 2/7
Let f(h) be the first derivative of h**5/25 - h**3/15 - 8. Find z such that f(z) = 0.
-1, 0, 1
Let g = -18 + 18. Let v be (g/3)/5*-1. Factor v*u - 1/4*u**4 + 0 + 1/4*u**3 + 0*u**2.
-u**3*(u - 1)/4
Let d = 1 - -49. Let h be (-30)/d*10/(-9). Factor 0 - 2*p**3 - h*p**4 - 2/3*p - 2*p**2.
-2*p*(p + 1)**3/3
Factor -1/11 + 5/11*o - 4/11*o**2.
-(o - 1)*(4*o - 1)/11
Let z(l) = -2*l**4 + 3*l**3 - 17*l**2 + 3*l + 3. Let s(y) = -y**3 - y**2 - y + 1. Suppose 15 = -6*b + 3*b. Let a(u) = b*s(u) + z(u). Let a(d) = 0. Calculate d.
1
Let y(v) be the first derivative of 0*v**2 - 5 - 1/3*v**4 - 2/9*v**3 - 2/15*v**5 + 0*v. Factor y(i).
-2*i**2*(i + 1)**2/3
Let b = -2/361 + 365/722. Determine w, given that 1/4*w + 0 + 1/4*w**3 + b*w**2 = 0.
-1, 0
Factor -1/4*q**2 + 0 + 1/4*q + 1/4*q**4 - 1/4*q**3.
q*(q - 1)**2*(q + 1)/4
Suppose f = 1 + 2. Suppose -f*a + 12 = a, -2*q + 10 = 2*a. Factor -3*o**3 - 2*o**3 - o - 3*o**q - o**4 + 2*o**3.
-o*(o + 1)**3
Let i(b) = -b**5 - b**3 - b**2 - b - 1. Let h(n) = -4*n**5 - 2*n**4 + 4*n**3 + 8*n**2 + 2*n - 2. Let y(s) = 2*h(s) - 4*i(s). Let y(o) = 0. Calculate o.
-1, 0, 2
Let q(v) = v**3 - 3*v**2 - 4*v + 5. Let a be q(4). Factor -4*w - 2*w**3 + a*w**3 + w**4 + 5*w + 3*w**2.
w*(w + 1)**3
Let l(p) = 4*p**3 - 8*p**2 + 10*p - 6. Let s(j) = -j**3 + j. Let a(c) = -2*l(c) - 6*s(c). Factor a(f).
-2*(f - 6)*(f - 1)**2
Let s(c) be the third derivative of -c**9/15120 - c**8/5040 + c**7/630 + c**5/10 + 7*c**2. Let o(i) be the third derivative of s(i). Factor o(p).
-4*p*(p - 1)*(p + 2)
Factor -12/7*f**4 + 36/7 - 24/7*f**3 + 4/7*f**5 + 40/7*f**2 + 12*f.
4*(f - 3)**2*(f + 1)**3/7
Let h(y) be the third derivative of -y**6/60 + 2*y**5/15 - y**4/3 + 43*y**2. Factor h(s).
-2*s*(s - 2)**2
Let d(a) = a**3 + 18*a**2 + 16*a - 17. Let z be d(-17). Factor -6/5*q**5 + 2/5*q**3 + 0 + z*q - 4/5*q**4 + 0*q**2.
-2*q**3*(q + 1)*(3*q - 1)/5
Let s(n) be the second derivative of -n**6/6 - 3*n**5/4 - 5*n**4/6 - 26*n. Factor s(j).
-5*j**2*(j + 1)*(j + 2)
Let x be (-42)/(-9) - 4/6. Let u(t) = -8 - 4 + 3 - x*t**2 - 8*t. Let z(a) = 2*a**2 + 4*a + 4. Let k(h) = 2*u(h) + 5*z(h). Factor k(i).
2*(i + 1)**2
Let s(q) = -8*q**3 + 2*q**2 + 8*q - 2. Let p(y) = -7*y**3 + y**2 + 9*y - 3. Let z(o) = -6*p(o) + 5*s(o). Factor z(h).
2*(h - 1)**2*(h + 4)
Let h(p) be the third derivative of -p**6/360 + p**5/120 + p**4/12 + p**3/2 - 3*p**2. Let y(a) be the first derivative of h(a). Factor y(q).
-(q - 2)*(q + 1)
Let x(z) be the second derivative of -z**6/195 - z**5/65 - z**4/78 - 2*z. Solve x(v) = 0.
-1, 0
Factor -4*v**2 + 5*v**2 - v**2 - 18 - 12*v - 2*v**2.
-2*(v + 3)**2
Let d(b) be the second derivative of b**5/200 + b**4/60 - 18*b. Solve d(m) = 0.
-2, 0
Let h be 1 + 1 + (2 - 6). Let k = 4 + h. Factor -4*l**3 + 5*l - 5*l + k*l + 2*l**5.
2*l*(l - 1)**2*(l