- n. Find y, given that -5*y**5 + r*y**5 + 4*y**4 + y**5 = 0.
-2, 0
Let m(s) be the second derivative of s**10/120960 - s**8/26880 + s**4/3 - s. Let g(x) be the third derivative of m(x). Factor g(c).
c**3*(c - 1)*(c + 1)/4
Let g(j) be the second derivative of 5*j**4/12 + 5*j**3/3 + 5*j**2/2 - 9*j. Factor g(a).
5*(a + 1)**2
Let f be (-1)/(-25)*6/(-192)*-20. Let y(j) be the third derivative of 0 + 0*j + f*j**4 + 1/300*j**5 + 1/15*j**3 + 4*j**2. Solve y(v) = 0 for v.
-2, -1
Let t(j) be the second derivative of -j**4/3 - 4*j**3/3 - 2*j**2 + 4*j. Solve t(d) = 0 for d.
-1
Let i = -9 + 10. Let g = 2 + i. Factor -2/9 + 2/9*v**2 - 2/9*v**g + 2/9*v.
-2*(v - 1)**2*(v + 1)/9
What is a in 0 - 2/3*a**3 + 2/3*a**2 + 4/3*a = 0?
-1, 0, 2
Let -4/7*c**2 + 0 + 0*c + 3/7*c**3 = 0. What is c?
0, 4/3
Let m(g) be the third derivative of g**5/630 - g**4/63 + 4*g**3/63 - 17*g**2. Find q, given that m(q) = 0.
2
Let n = 30181/3 + -3018017/300. Let y = n + -2/75. Factor 1/4*f**2 + 0 - y*f.
f*(f - 1)/4
Let r be (4*(-4)/24)/(-2*70). Let f(q) be the third derivative of r*q**7 + 0*q + 0 - 1/6*q**3 - 1/60*q**6 - 3*q**2 + 1/12*q**4 + 0*q**5. Factor f(b).
(b - 1)**3*(b + 1)
Let c(h) be the first derivative of 1/2*h**2 + 1/20*h**5 + 0*h - 2 + 1/6*h**4 + 1/6*h**3. Let d(p) be the second derivative of c(p). Factor d(q).
(q + 1)*(3*q + 1)
Let g be 2/(-3) + 38/48. Let m(x) be the first derivative of 1/6*x**3 - g*x**4 - 1 - 1/2*x + 1/4*x**2. Let m(a) = 0. Calculate a.
-1, 1
Let w(n) = -10*n**5 - 9*n**4 - 6*n**3 + 5*n**2. Let t(o) = -o**5 + o**4 - o**3 + o**2. Let h(f) = -15*t(f) + 5*w(f). Factor h(c).
-5*c**2*(c + 1)**2*(7*c - 2)
Let a(o) be the third derivative of -o**5/30 - o**4/3 - 4*o**3/3 - 4*o**2. Factor a(g).
-2*(g + 2)**2
Let h = -14 + 5. Let q be (-38)/h + (-6)/27. Factor 8*y**3 + 8*y + 1 + 4 + 2*y**q + 12*y**2 - 3.
2*(y + 1)**4
Let b be 1*(-1 + 3 + -1). Let d(n) be the first derivative of -1/2*n**2 + b - n + 1/4*n**4 + 1/3*n**3. Let d(w) = 0. Calculate w.
-1, 1
Let y = 20/23 + -77/115. Let 1/5*g**4 + 0 - 1/5*g**2 + 1/5*g**3 - y*g**5 + 0*g = 0. Calculate g.
-1, 0, 1
Let p(f) be the first derivative of 0*f - 5 + 3/4*f**2 - 3/8*f**4 + 0*f**3. Solve p(w) = 0.
-1, 0, 1
Let b(z) be the third derivative of -z**7/5040 + z**4/8 - 3*z**2. Let r(g) be the second derivative of b(g). Find m such that r(m) = 0.
0
Let d = 25/2 + -359/30. Let o(b) be the first derivative of -1 + b**2 + 1/10*b**4 + 4/5*b + d*b**3. Find t such that o(t) = 0.
-2, -1
Let h(q) = -q**3 + 8*q**2 - 6*q - 6. Let z be h(7). Let w(y) be the first derivative of z + 0*y**2 + 1/2*y**4 + 0*y - 2/3*y**3. Factor w(r).
2*r**2*(r - 1)
Let d(w) be the second derivative of -w**4/72 + w**3/36 - 2*w. Factor d(l).
-l*(l - 1)/6
Let x = -1 - -4. Suppose 7 = 5*g + v, -2*g + v = -x*v - 16. Factor 0*q**2 + q**g - 1 + 2*q - 2*q**2.
-(q - 1)**2
Let n(j) be the third derivative of j**8/70560 - j**7/8820 - j**5/30 + 3*j**2. Let z(r) be the third derivative of n(r). Factor z(g).
2*g*(g - 2)/7
Let n be -1 - (-3)/4*-4. Let s(x) = x**3 + 5*x**2 + 5*x + 4. Let o be s(n). Find w such that o*w**2 + w + 0 - 3/4*w**3 + 1/4*w**4 = 0.
-1, 0, 2
Factor 78*r**2 - 5*r**4 - 5*r - 10*r**3 - 88*r**2 - 1 + 0*r**4 - r**5.
-(r + 1)**5
Factor 6/5*r - 3/5*r**2 + 0.
-3*r*(r - 2)/5
Let v(n) = n**3 + 7*n**2 + 2. Let w be v(-7). Let i be (-1)/w*(-20)/5. Factor -c**4 - i*c**2 - 2*c**2 + 4*c**2.
-c**4
Let a(u) = -3*u**3 - 3*u**2 - 6*u. Let v(f) = -2*f**3 - 2*f**2 - 5*f. Let y(r) = -3*a(r) + 4*v(r). Factor y(g).
g*(g - 1)*(g + 2)
Let n(s) be the first derivative of 2*s**3 - 7*s**2/3 - 4*s/3 - 52. Find v such that n(v) = 0.
-2/9, 1
Let x = 8 - 5. Let s(f) be the first derivative of 1 + 2/3*f**x + 4*f + 3*f**2. Factor s(n).
2*(n + 1)*(n + 2)
Let j be 4/6 - 14/(-6). Let s(o) = -o + 9. Let n be s(7). Factor -8*p**3 + 2 - 11*p + 12*p**n + j*p + p**4 + p**4.
2*(p - 1)**4
Suppose u - 5*h + 26 = 0, u - h - 3*h + 22 = 0. Let c be 1 - (1 - (-3)/u). Factor -1/2*d + 0 - c*d**3 + d**2.
-d*(d - 1)**2/2
Suppose -4*k - 2*m = -42, -3*k + 0*m + 29 = 2*m. Suppose -2*u + k = 2*u + g, -g = -2*u - 1. Factor -4/7*s**u - 2/7*s + 0 - 2/7*s**3.
-2*s*(s + 1)**2/7
Let m be (-16)/(-28)*(-21)/(-6). Solve -9*t + 27/2 + 3/2*t**m = 0.
3
Let i(j) be the first derivative of -j**6/39 + 4*j**5/65 - 4*j**3/39 + j**2/13 - 6. Suppose i(r) = 0. What is r?
-1, 0, 1
Let r(y) be the third derivative of -y**6/180 + y**5/60 - 5*y**3/6 + y**2. Let a(w) be the first derivative of r(w). Factor a(z).
-2*z*(z - 1)
Let z = -22 + 38. Let g be (24/z)/(2 + 0). Factor 1/2 - g*j**3 - 1/4*j**4 - 1/4*j**2 + 3/4*j.
-(j - 1)*(j + 1)**2*(j + 2)/4
Let w(o) be the third derivative of -o**7/1680 - o**6/720 + o**3/6 + 4*o**2. Let m(u) be the first derivative of w(u). Factor m(t).
-t**2*(t + 1)/2
Let c be (1 + 0)*(7 + -4). Suppose 19 = 5*f - 3*s, c = -2*s - 3. Find u such that 8 + 4*u - u + 4*u + f*u**2 + u = 0.
-2
Let d(n) = 8*n**2 + 224*n - 918. Let c(l) = -l**2 - 32*l + 131. Let r(h) = -44*c(h) - 6*d(h). Find w, given that r(w) = 0.
8
Let z(s) be the second derivative of -s**4/36 - s**3/2 - 4*s**2/3 - 22*s. Solve z(m) = 0.
-8, -1
Let u be ((-12)/9)/(2/120). Let p be ((-4)/(-5))/((-32)/u). What is a in 1/5*a**3 - 2/5*a**p + 1/5*a + 0 = 0?
0, 1
Let k = -13 + 16. Suppose 1 - t + 3 - 2*t**2 + t**k - 2 = 0. What is t?
-1, 1, 2
Let v(z) = 2*z + 6. Let b(l) = 3*l + 13. Let h(r) = -3*b(r) + 5*v(r). Let j be h(9). Let -1/4*w**2 + j - 1/4*w = 0. Calculate w.
-1, 0
Let q(w) be the first derivative of -2 - 4/33*w**3 + 2/11*w + 0*w**4 + 0*w**2 + 2/55*w**5. Factor q(l).
2*(l - 1)**2*(l + 1)**2/11
Factor w + 16*w - 12*w**2 - 5*w + 3*w**3.
3*w*(w - 2)**2
Let u(i) be the second derivative of 4*i + 1/6*i**4 + 0 + 9*i**2 + 2*i**3. Factor u(o).
2*(o + 3)**2
Let f(h) be the third derivative of h**8/840 - 2*h**7/525 + h**5/75 - h**4/60 + h**2. Factor f(v).
2*v*(v - 1)**3*(v + 1)/5
Factor 18/5*v + 4/5 + 14/5*v**2.
2*(v + 1)*(7*v + 2)/5
Suppose 5 = -2*l + 9. Let 0 + 1/5*p + 1/5*p**l = 0. Calculate p.
-1, 0
Let v be 10/35 + (-11)/112. Let n(f) be the first derivative of 1/4*f**3 - 1/8*f**6 + 0*f + 0*f**2 - 3/20*f**5 + v*f**4 - 3. Find p, given that n(p) = 0.
-1, 0, 1
Let v(z) = -3 - 3*z**3 - 4*z**3 + 2*z + 4*z - 6. Let y(o) = -o**3 - 1. Let n(k) = v(k) - 5*y(k). Factor n(g).
-2*(g - 1)**2*(g + 2)
Let q(w) = -7*w**5 - 8*w**4 + 13*w**3 + 2*w**2 + 2. Let m(t) = -8*t**5 - 7*t**4 + 12*t**3 + 3*t**2 + 3. Let v(s) = 2*m(s) - 3*q(s). What is d in v(d) = 0?
-3, 0, 1
Let g(j) be the first derivative of -7/13*j**2 + 2/13*j**5 - 2/13*j**3 - 6 + 7/26*j**4 - 4/13*j. What is p in g(p) = 0?
-1, -2/5, 1
Suppose 4*b - 5 = 3. Suppose b*t - t + 5*i = -21, t - i - 9 = 0. Factor 4*y**3 + 7*y**5 + y**4 + t*y**4 + 2*y - 5*y**2 - 13*y**3.
y*(y - 1)*(y + 1)**2*(7*y - 2)
Suppose 2*t**2 - 5*t**2 + t - 9 + 11*t = 0. What is t?
1, 3
Let p(n) = -17*n**2 + n. Let o be p(-1). Let a be (96/28)/(o/(-28)). Solve -6*h**4 + 4*h + a*h**2 + 2/3 - 4*h**3 = 0 for h.
-1, -1/3, 1
Let k(x) be the second derivative of 0 + 3*x + 1/12*x**4 + x**2 + 1/2*x**3. Find g, given that k(g) = 0.
-2, -1
Let f(l) be the third derivative of 8*l**5/75 - 2*l**4/15 + l**3/15 + 14*l**2. What is c in f(c) = 0?
1/4
Let w be 6/21 - (-102)/(-14). Let a = 11 + w. Factor -2*r + r**a - r**4 + 1 + 2*r**3 + r**4 - 2*r**4.
-(r - 1)**3*(r + 1)
Let w(n) = n - 25. Let j be w(28). Suppose 1/4*x**2 + 0 - 1/4*x**4 + 1/2*x - 1/2*x**j = 0. Calculate x.
-2, -1, 0, 1
Determine q, given that -5 + 5 - 101*q**3 + 2*q + 3*q**2 + 102*q**3 = 0.
-2, -1, 0
Let r(f) be the first derivative of f**4/24 - f**2/4 + 5*f - 2. Let n(p) be the first derivative of r(p). Factor n(a).
(a - 1)*(a + 1)/2
Suppose -4*f = f - 25. Let z be f/(-20) + (-26)/(-40). Factor -z - 3/5*d**2 + 7/5*d.
-(d - 2)*(3*d - 1)/5
Let o(r) be the first derivative of 1/20*r**5 + 0*r**4 + 0*r - 4 + 1/2*r**2 - 1/2*r**3. Let m(w) be the second derivative of o(w). Factor m(t).
3*(t - 1)*(t + 1)
Let h(a) = a**5 + 2*a**4 + 4*a**2 + 4*a - 4. Let x(n) = n**4 + n**2 + n - 1. Let j(q) = -h(q) + 4*x(q). Factor j(f).
-f**4*(f - 2)
Let o = 6 - 4. Find s such that -o*s**3 - 2*s**3 + s**3 + s**3 = 0.
0
Let d = -9 - -39. Suppose -6*q - 14*q - 3*q**4 - d*q**2 + q**2 - 12*q**3 - 4 - 4*q**3 = 0. Calculate q.
-2, -1, -1/3
Let n be 0 + 1/20*2. Let b(o) be the second derivative of 1/15*o**3 + 0 + 0*o