*4 + g**2 - 3/5*g**5 + 0*g + 1/3*g**3 - 1. Factor s(m).
-m*(m + 1)**2*(3*m - 2)
Factor -3 - j**2 - 2*j - 4*j**2 + 6*j**2.
(j - 3)*(j + 1)
Let c = -42 - -29. Let z be (-2)/(c + -1 - -4). Factor -z*m**2 - 2/5 - 3/5*m.
-(m + 1)*(m + 2)/5
Let h(t) be the first derivative of 9/10*t**5 - 1/8*t**6 - 21/8*t**4 - 27/8*t**2 + 3/2*t + 4*t**3 + 1. What is n in h(n) = 0?
1, 2
Let t(p) = p**2 - 6*p - 6. Let q be t(6). Let k = -1 - q. Factor -5*j**k - 2*j**3 + 5*j**5 + 2*j**5.
2*j**3*(j - 1)*(j + 1)
Let i = 23 - 14. Let b = i + -4. Let q(w) = 2*w**3 + 5*w**2 + 5*w. Let n(d) = -9*d**3 - 24*d**2 - 24*d. Let x(f) = b*n(f) + 24*q(f). Factor x(j).
3*j**3
Solve 14*v**3 - 2*v**4 - 12*v - 16 + 2*v**2 + 37 - 21 - 2*v**5 = 0.
-3, -1, 0, 1, 2
Let w = -1/231 + 698/1155. Factor -1/5*c**2 - w + 4/5*c.
-(c - 3)*(c - 1)/5
Let f(h) be the third derivative of -h**7/1260 + h**6/90 - h**5/20 + h**4/4 + 7*h**2. Let y(p) be the second derivative of f(p). Factor y(n).
-2*(n - 3)*(n - 1)
Let b be 20/6 + 12 + (-9 - 5). Factor b*y - 1/3*y**3 + 4/3 - 1/3*y**2.
-(y - 2)*(y + 1)*(y + 2)/3
Let y(v) be the first derivative of -v**5/15 + v**4/4 + 31. Let y(t) = 0. What is t?
0, 3
Let o(c) = -10*c**2 - 6*c + 4. Let f(m) = -m**2 - m. Let h(z) = -6*f(z) + o(z). Let h(a) = 0. Calculate a.
-1, 1
Suppose -p + 4*p + 3*i - 15 = 0, p - i = 15. Let a be (-1)/(-2) + (-5)/(-2). Factor 4*w**a - p*w**5 + 6*w**4 + 0*w**5 + 0*w**4.
-2*w**3*(w - 1)*(5*w + 2)
Suppose 1/2*n**2 + 1 - 3/2*n**4 - 5/2*n**3 + 5/2*n = 0. Calculate n.
-1, -2/3, 1
Let a = -18 + 37/2. Let 0 + 1/2*o**3 - 1/2*o**2 - a*o + 1/2*o**4 = 0. What is o?
-1, 0, 1
Let r = -1706/11 + 3292/33. Let w = r - -56. Determine h so that 1/3*h**5 + 0*h**3 + 0 - w*h**4 + 2/3*h**2 - 1/3*h = 0.
-1, 0, 1
Let m(n) = n**3 + 7*n**2 - 6*n + 16. Let x be m(-8). Let 2/7*c + x - 2/7*c**2 = 0. Calculate c.
0, 1
Let k(h) be the third derivative of 9*h**6/80 - 3*h**5/20 - 5*h**4/4 - 2*h**3 - 4*h**2 + 2. Factor k(q).
3*(q - 2)*(3*q + 2)**2/2
Let c(s) be the second derivative of -49*s**4/12 + 7*s**3 - 9*s**2/2 + 3*s. Solve c(l) = 0 for l.
3/7
Let a(h) = 6*h**2 + 6*h + 6. Let w(z) = 0*z**2 - 2*z**2 - 3*z - 5*z**2 - 3*z - 7. Let m(l) = 4*a(l) + 3*w(l). Let m(p) = 0. What is p?
-1
Let j(f) be the second derivative of -f**7/560 + f**6/120 - f**5/80 - 2*f**3/3 - 6*f. Let h(s) be the second derivative of j(s). Let h(p) = 0. What is p?
0, 1
Let c(i) be the second derivative of 0*i**2 - 1/60*i**4 + 3*i + 0 + 1/30*i**3. Determine f so that c(f) = 0.
0, 1
Let -2/11*j**3 - 4/11*j**2 + 0 + 6/11*j = 0. Calculate j.
-3, 0, 1
Let t(b) = -6*b**2 + 2*b. Let l(o) be the first derivative of -5*o**3/3 + o**2/2 + o + 1. Let u(g) = 4*l(g) - 3*t(g). Factor u(z).
-2*(z - 1)*(z + 2)
Let j(i) = -i**2 - 4*i + 4 + 6*i + 6*i. Let q be j(8). Factor 21*l**4 - q*l**3 + 7*l**3 - 24*l**4.
-3*l**3*(l - 1)
Let v be ((-336)/225)/(-2) + 8/(-12). Let j(z) be the first derivative of 1/5*z**2 - 3 + 0*z + v*z**5 + 2/5*z**3 + 3/10*z**4. Suppose j(f) = 0. What is f?
-1, 0
Let g(x) be the first derivative of -x**5/30 - 3*x**2/2 + 3. Let s(w) be the second derivative of g(w). Determine y so that s(y) = 0.
0
Let c(x) = x**2 + 4*x - 2. Let w be c(-5). Suppose w*h - g = 14, 2*h - 4*g - 24 = -2*h. Factor 3*d**h - 7*d**5 + d**4 - 3*d**5.
-2*d**4*(5*d - 2)
Find s, given that -2/3*s**4 + 1/3*s**5 - 2/3*s**3 + 1/3*s - 2/3 + 4/3*s**2 = 0.
-1, 1, 2
Let z(v) = 22*v - 172. Let h be z(8). Let f = 23/24 - -3/8. What is i in f*i**3 + 2/3*i**h - 2/3*i**5 - 2/3*i + 2/3 - 4/3*i**2 = 0?
-1, 1
Let s(h) be the second derivative of 0 + 13/120*h**5 - 1/36*h**4 - 11/180*h**6 + 0*h**3 + 0*h**2 - 3*h. Determine c, given that s(c) = 0.
0, 2/11, 1
Let v(q) be the second derivative of -q**6/15 - 3*q**5/10 + q**4/6 + q**3 - 9*q. Find c, given that v(c) = 0.
-3, -1, 0, 1
Find x such that 5/3*x - 2/3*x**3 + 1/3*x**2 + 2/3 = 0.
-1, -1/2, 2
Let v(o) = -12*o**3 + 4*o - 14*o**2 + 5*o**2 - o. Let d(p) = 4*p**3 + 3*p**2 - p. Let k = -16 + 20. Let w(q) = k*v(q) + 11*d(q). Solve w(z) = 0.
-1, 0, 1/4
Let v(y) be the third derivative of 0*y**3 + 1/150*y**5 + 2*y**2 + 0 + 1/60*y**4 + 0*y. Factor v(d).
2*d*(d + 1)/5
Factor -8/7*w**3 + 0 + 2/7*w**4 + 0*w + 8/7*w**2.
2*w**2*(w - 2)**2/7
Suppose 3*i - 2*i + 12 = -3*v, -5*i - 16 = 4*v. Suppose -3*a - a + 20 = x, -a = -4*x + 12. Factor 2*g + i*g**2 - 12*g**3 - 3*g**2 - 3*g**4 - 4*g**a.
-g*(g + 1)**2*(7*g - 2)
Let c(t) be the second derivative of t**6/100 + t**5/25 + t**4/40 - t**3/30 + 19*t. Find q, given that c(q) = 0.
-2, -1, 0, 1/3
Let u(v) be the second derivative of 5*v**4/72 - 25*v**3/36 - 7*v. Factor u(y).
5*y*(y - 5)/6
Suppose -4*d - 3*p - 2*p + 6 = 0, -3*d + 2 = 5*p. Suppose -15 = -d*k + 5. Factor -2/3*l**4 - 2/9*l**2 + 0 + 0*l + 2/3*l**3 + 2/9*l**k.
2*l**2*(l - 1)**3/9
Let c = 24 + -38. Let h be -7 + 9 + 24/c. Solve 0*s - 2/7 + h*s**2 = 0.
-1, 1
Solve -4/11*s**2 + 0*s + 24/11*s**4 + 6/11*s**3 + 0 + 14/11*s**5 = 0 for s.
-1, 0, 2/7
Let a(z) be the third derivative of 1/15*z**3 - 1/600*z**6 + 0*z**5 + 1/40*z**4 + 0 - 5*z**2 + 0*z. Let a(f) = 0. Calculate f.
-1, 2
Let o(y) be the second derivative of -4/3*y**3 + 1/3*y**4 + 0 + 0*y**2 + 3/5*y**5 + 7*y. Factor o(x).
4*x*(x + 1)*(3*x - 2)
Let 0 - 4/3*y**3 + 0*y**2 + 0*y + 6*y**4 - 14/3*y**5 = 0. Calculate y.
0, 2/7, 1
Let d(m) = -5*m**2 - 35*m + 3. Let b be d(-7). Factor 4/5*f - 14/5*f**2 + 0 + 2*f**b.
2*f*(f - 1)*(5*f - 2)/5
Let h(w) be the first derivative of -w**3 - 6*w**2 + 3. Solve h(v) = 0.
-4, 0
Let s(u) = -u + 5. Let b be s(4). Factor b - j - 4*j**2 + 1 + 10*j**2 - 2*j**3 - 5*j.
-2*(j - 1)**3
Let h(b) = 3*b - 4. Let c be h(3). Factor c*x**2 - 3*x**2 - 6*x**4 + 8*x**4 + 4*x**3.
2*x**2*(x + 1)**2
Suppose -5*p + 5*w = -0*p - 510, 4*p - 408 = 2*w. Factor -p*t**2 + 59*t**2 - 243 - 4*t**3 - 32*t**3 - 119*t**2 - 324*t - 3*t**4.
-3*(t + 3)**4
Let u(x) = -15*x**3 + 27*x**2 - 10*x + 10. Let c(k) = 14*k**3 - 26*k**2 + 11*k - 9. Let r(y) = -6*c(y) - 5*u(y). Factor r(g).
-(g - 1)*(3*g - 2)**2
Let a(l) be the third derivative of -l**6/120 - 3*l**5/20 - 9*l**4/8 - 9*l**3/2 - 20*l**2. Factor a(n).
-(n + 3)**3
Let b(y) = -5*y**4 - 8*y**3 - 3*y**2 + 4*y + 4. Let u(x) = 4*x**4 + 7*x**3 + 3*x**2 - 3*x - 3. Let l(h) = 3*b(h) + 4*u(h). What is f in l(f) = 0?
-3, -1, 0
Let m = 11 - 7. Suppose -3*d = 1 - m. Factor -5*s + d - s**2 + 3*s + 2*s**2.
(s - 1)**2
Let f = -10 + 1. Let b be (2/(-8))/(f/12). Find x such that -2/3*x**4 - 5/3*x**3 + b - x**2 + 1/3*x = 0.
-1, 1/2
Let s(q) be the third derivative of -q**7/168 - q**6/40 + q**5/240 + q**4/8 + q**3/6 + 6*q**2. Suppose s(j) = 0. Calculate j.
-2, -1, -2/5, 1
Let s(t) be the third derivative of -t**7/70 + 13*t**6/200 - 9*t**5/100 - t**4/40 + t**3/5 + 11*t**2. Factor s(z).
-3*(z - 1)**3*(5*z + 2)/5
Let g(s) be the first derivative of s**3/3 - s**2/2 - 4*s + 2. Let f be g(3). Factor -n**3 - 1 + n**2 - f*n**3 + 4*n**3 - n.
(n - 1)*(n + 1)**2
Let o = 40 + -38. Factor -o*f - 4/3 - 2/3*f**2.
-2*(f + 1)*(f + 2)/3
Let h(a) be the first derivative of 3 + 0*a**2 + 4/3*a**3 + 0*a - 3/2*a**4. Let h(i) = 0. Calculate i.
0, 2/3
Let o(l) be the first derivative of -3/5*l**5 - 3*l**4 - 3*l - 6*l**3 - 7 - 6*l**2. Determine c so that o(c) = 0.
-1
Suppose 21*a = 22*a - 3. Let w = a + -11/4. Suppose -w*m**3 + 0*m**2 + 1/4*m + 0 = 0. What is m?
-1, 0, 1
Let u(d) = d**2. Let g be u(1). Let o be (-1 - -2)/(g*5). Factor 0 - 1/5*n + o*n**2.
n*(n - 1)/5
Let l(o) be the third derivative of -o**6/600 + o**5/150 + 9*o**2. Factor l(c).
-c**2*(c - 2)/5
Let u(x) = -x**2 - 15*x + 13. Let z be u(-12). Find t such that -47*t**4 + 31*t**5 - 31*t**2 + 2 - 104*t**3 + 125*t**2 - 24*t - z*t**4 + 97*t**5 = 0.
-1, 1/4, 1
Let w = 16 - 13. Find t such that -3/4*t**w + 3/4*t**2 - 1/4*t + 1/4*t**4 + 0 = 0.
0, 1
Let n be 69/(-18) + 0 + 4. Let f(i) be the second derivative of 1/2*i**2 + 1/20*i**5 + 0 - 1/120*i**6 + 3*i - n*i**3 - 1/16*i**4. Factor f(s).
-(s - 2)**2*(s - 1)*(s + 1)/4
Let g be ((-4)/(-5)*(-20)/(-8))/1. Let 0 + 0*b + 2/5*b**g = 0. Calculate b.
0
Let k(v) be the third derivative of v**5/60 + 3*v**2. Let h be k(0). What is w in 0*w - 2/5*w**2 + h - 2/5*w**3 = 0?
-1, 0
Let n = -7 + 25/3. Factor -2/3*w**2 + 2 + n*w.
-2*(w - 3)*(w + 1)/3
Let k(g) = -80*g**2 + 3455*g - 22760. Let w(o) = -3*o**2 + 128*o - 843. Let c(j) = 2*k(j) - 55*w(j). Factor c(u).
5*(u - 13)*