 11*m - 3*m**4 = 0.
-2, -1, -1/3
Let o(n) = -n**5 - n**3 - n - 1. Let x(v) = 4*v**5 - v**4 + 2*v**3 + 2*v + 2. Let h(y) = -2*o(y) - x(y). What is d in h(d) = 0?
0, 1/2
Let d(c) be the first derivative of c**6/3 + 6*c**5/5 + c**4 + 6. Factor d(v).
2*v**3*(v + 1)*(v + 2)
Let w(x) = -7*x**3 - 12*x**2 + 5*x - 10. Let g(m) = m**3 + m**2 + 1. Let b(q) = -24*g(q) - 3*w(q). Find l such that b(l) = 0.
1, 2
Let m(n) be the second derivative of n**4/3 - 4*n**3/3 + 2*n**2 + 9*n. Factor m(v).
4*(v - 1)**2
Suppose -4*r + 15 = -1. Factor 14/5*a**3 + 18/5*a**2 + 2*a + 2/5 + 4/5*a**r.
2*(a + 1)**3*(2*a + 1)/5
Let m(s) be the second derivative of 81*s**5/5 + 39*s**4 + 80*s**3/3 + 8*s**2 - 4*s. What is a in m(a) = 0?
-1, -2/9
Let a(n) be the first derivative of 1/9*n**4 - 2/27*n**3 + 2/15*n**5 + 0*n**2 + 0*n + 2. Find v such that a(v) = 0.
-1, 0, 1/3
Let q(r) = 4*r**3 + 4*r**2 - 10*r + 8. Let k(s) = 5*s**3 + 5*s**2 - 10*s + 9. Let w(y) = -4*k(y) + 6*q(y). Determine u, given that w(u) = 0.
-3, 1
Let j(c) = 15*c**2 - 3*c + 18. Let n(g) = g**2 + 1. Let u(s) = j(s) - 18*n(s). Factor u(h).
-3*h*(h + 1)
Let c(v) be the second derivative of 11*v**5/80 + 7*v**4/8 + 3*v**3/2 - v**2 - 2*v + 1. Suppose c(d) = 0. What is d?
-2, 2/11
Suppose -f - 15 = -4*f. Let j = 5 - f. Factor j - 2/7*v + 2/7*v**2.
2*v*(v - 1)/7
Let p be 3/(-27)*(-6)/20. Let g(y) be the third derivative of 0*y**4 + 1/105*y**7 + 0 + 0*y**3 + 0*y - p*y**5 + 0*y**6 - 2*y**2. Solve g(c) = 0 for c.
-1, 0, 1
Let a = -211/3120 + 14/195. Let q(b) be the third derivative of 0*b + b**2 + 0*b**3 + 0 + a*b**5 + 0*b**4. What is c in q(c) = 0?
0
Let y = 21 + -17. Find z, given that 18*z**2 - 3*z**4 + 16*z**3 + 2*z**y - 2*z**2 + 5*z**4 = 0.
-2, 0
Let d(n) be the third derivative of -3*n**6/40 + 13*n**5/10 + 29*n**4/6 + 20*n**3/3 + 35*n**2. Let d(p) = 0. Calculate p.
-2/3, 10
Let c be (-35)/(-11) + (-2)/11. Factor 2*l**2 + 3*l**4 - 2*l**5 + 5*l**5 - l**c - 2*l**3 - 5*l**2.
3*l**2*(l - 1)*(l + 1)**2
Let x = -8 - -11. Determine u, given that u**4 - u**5 + 0*u**5 - 6*u**x + 6*u**3 = 0.
0, 1
Let c be (12/(-8))/(1/(-2)). Factor t**3 + 0*t**5 - c*t**3 - t**3 + 3*t**5.
3*t**3*(t - 1)*(t + 1)
Let s(k) be the third derivative of -k**8/13440 - k**7/1680 + k**6/1440 + k**5/80 + k**4/6 - 4*k**2. Let a(o) be the second derivative of s(o). Factor a(w).
-(w - 1)*(w + 1)*(w + 3)/2
Determine q, given that -2*q**3 - 12*q**2 + 15*q + 5*q**3 - 7 + 1 = 0.
1, 2
Let v be 116/(-21) + 14 + -16. Let x = -48/7 - v. Solve 1/6*o**2 + x - 2/3*o = 0.
2
Let h = -26 + 38. Let y be -1*8/(-6)*h. Factor 0*o**3 - 2 + 56*o**3 - 44*o**2 + 8*o**5 + 16*o - y*o**4 - 18*o**4.
2*(o - 1)**4*(4*o - 1)
Suppose 4 + 22 = -4*n + 2*r, 5*r - 13 = -3*n. Let s(d) = 8*d**2 + 3*d - 3. Let z(w) = 17*w**2 + 5*w - 7. Let k(j) = n*z(j) + 10*s(j). Factor k(o).
2*(o + 1)*(6*o - 1)
Factor 1079*v + 76*v**2 + 1 - 16*v**5 - 1107*v + 64*v**4 - 100*v**3 + 3.
-4*(v - 1)**3*(2*v - 1)**2
Let b(n) be the second derivative of -n**7/1260 - n**6/360 - n**4/12 + 2*n. Let q(s) be the third derivative of b(s). Factor q(p).
-2*p*(p + 1)
Suppose -3*h = 5*v - 15, -v + 15 = 4*v - 2*h. Let y be 0 - v - (15 - 21). Find s such that 0 + 6/5*s - y*s**2 + 21/5*s**5 + 3*s**4 - 27/5*s**3 = 0.
-1, 0, 2/7, 1
Let r(k) = -k**3 + 8*k**2 - 6*k - 3. Let y be r(7). Find n, given that 2 - y*n - 2*n**4 - 2 + 6*n**2 = 0.
-2, 0, 1
Let l be ((-3)/(-24))/(((-210)/8)/(-7)). Let m(z) be the second derivative of -2*z + 0*z**2 + 1/20*z**4 + 1/150*z**6 - l*z**3 - 3/100*z**5 + 0. Factor m(d).
d*(d - 1)**3/5
Let m(j) = -j**2 + 1. Let p(h) = -4*h**2 - h + 3. Let s = 5 - 4. Let l(x) = s*p(x) - 3*m(x). Determine a, given that l(a) = 0.
-1, 0
Suppose -5*m + 50 + 20 = 0. Suppose 5*g - m = -4*z, 0 = -2*g - 2*z + 6. Factor g*a**4 - 2*a**2 - 2*a**3 + 0*a**3 + 4*a**3 - 2*a.
2*a*(a - 1)*(a + 1)**2
Let v(c) = c + 17. Let h be v(-15). What is x in 4*x - h + 6 - 3 + x**2 + 2 = 0?
-3, -1
Let g(r) be the second derivative of r**8/13440 + r**7/1680 + r**6/720 + r**4/4 - r. Let n(y) be the third derivative of g(y). Find l such that n(l) = 0.
-2, -1, 0
What is p in p**2 + 4*p + 0*p + 6*p**2 - p**2 = 0?
-2/3, 0
Suppose -3*m + m + 14 = 0. Suppose 2*l - m*l = -15. Solve -2*d**5 - d**3 + d**4 + d**5 - d**2 + 2*d**l = 0 for d.
-1, 0, 1
Factor -13*r + 5*r**2 + 19*r + r**2 + 6 + 2*r**3 - 4.
2*(r + 1)**3
Let w(s) be the third derivative of -5*s**8/112 + 6*s**7/35 - 9*s**6/40 + s**5/10 - 17*s**2. Determine f so that w(f) = 0.
0, 2/5, 1
Let d(y) = y**3 - 9*y**2 - 12*y + 9. Let l be d(9). Let i be ((-1)/4)/(l/88). Factor 0 + i*p**2 + 0*p.
2*p**2/9
Let p = -1956/5 + 393. Determine u so that 6/5*u - 1/5*u**2 - p = 0.
3
Let x(c) be the first derivative of -c**7/735 - c**6/210 + c**5/210 + c**4/42 - 3*c**2/2 - 2. Let s(r) be the second derivative of x(r). Factor s(w).
-2*w*(w - 1)*(w + 1)*(w + 2)/7
Let n(k) be the first derivative of -k**5/25 - k**4/20 + 2*k**3/15 + 15. Solve n(i) = 0 for i.
-2, 0, 1
Let j(l) = -22*l**4 + 24*l**3 - 18*l**2 - 40*l + 40. Let x(i) = 7*i**4 - 8*i**3 + 6*i**2 + 13*i - 13. Let r(b) = -5*j(b) - 16*x(b). Find s such that r(s) = 0.
-1, 1, 2
Let g be 6/(-8) + 75/20. Let a(i) be the second derivative of -1/30*i**5 + 0*i**6 + 0*i**4 + 0 + 0*i**g - 2*i + 1/63*i**7 + 0*i**2. Let a(z) = 0. What is z?
-1, 0, 1
Let x(s) be the first derivative of -9/8*s**2 + 3 + s**3 - 5/16*s**4 + 1/2*s. Determine c, given that x(c) = 0.
2/5, 1
Let z(j) be the first derivative of j**4/12 + j**3/9 - j**2/6 - j/3 - 10. Factor z(x).
(x - 1)*(x + 1)**2/3
Let b(u) be the third derivative of 0*u - 1/1512*u**8 + 0*u**7 + 0*u**5 - 1/108*u**4 + 0 - 3*u**2 + 1/270*u**6 + 0*u**3. Factor b(r).
-2*r*(r - 1)**2*(r + 1)**2/9
Suppose 364 + 68 = 4*y. Let f be (-2)/(-10) - y/(-60). Let 0 + 0*v**3 - 3/5*v**4 + 0*v + 0*v**f = 0. Calculate v.
0
Let y = -7 - -9. Factor 2*x**2 - x - 5*x**2 + 2*x**y + 0*x.
-x*(x + 1)
Find m such that -2/7*m**2 - 1/7*m**3 + 4/7*m + 8/7 = 0.
-2, 2
Let u(p) = -27*p + 3. Let l be u(-10). Let g = -2453/9 + l. Factor -2/9*t**3 + 0 + 0*t + g*t**2.
-2*t**2*(t - 2)/9
Let p be 3/(3/2) + 0. Let d be ((-2)/12)/(p/(-8)). Factor -2/3*s**2 + 4/3*s - d.
-2*(s - 1)**2/3
Let a(r) = -4*r**3 + 4*r - 3. Let i(t) = -t**3 + t - 1. Let n(y) = a(y) - 3*i(y). Let k(d) = 2*d + 2. Let j(w) = k(w) + n(w). Solve j(f) = 0.
-1, 2
Let a = -423/10 + 214/5. What is u in -9/2*u**2 - 2*u**3 - 3*u - a = 0?
-1, -1/4
Let h(p) be the second derivative of -4*p**4/3 + 2*p**2 - 2*p. Factor h(x).
-4*(2*x - 1)*(2*x + 1)
Let d(q) be the third derivative of q**8/840 - q**7/420 - q**6/180 + q**5/60 + 2*q**3/3 + 4*q**2. Let z(i) be the first derivative of d(i). Factor z(v).
2*v*(v - 1)**2*(v + 1)
Let y(w) = w**2 + 6*w - 6. Let u be y(-5). Let o = u - -23/2. Suppose -1/4*i - 1/4*i**2 + o*i**3 + 0 = 0. What is i?
-1/2, 0, 1
Let g(t) = t**5 - t**4 - 3*t**3 + t**2 + 2*t - 2. Let f(k) = -k**3 + k - 1. Suppose 2*o + 0*o = 4*w - 20, 0 = -5*w + 20. Let m(n) = o*f(n) + g(n). Factor m(a).
a**2*(a - 1)**2*(a + 1)
Solve -10/3*a - 2 - 2/3*a**2 + 2/3*a**3 = 0 for a.
-1, 3
Let o = 25/47 - 2519/4559. Let i = o + 212/873. What is v in 0 + 2/9*v - i*v**2 = 0?
0, 1
Let m(g) be the second derivative of g**5/40 - 5*g**4/48 + g**3/6 - g**2/8 + 3*g. Factor m(r).
(r - 1)**2*(2*r - 1)/4
Let b be 0 - -2*(-2)/(-2). Let g = -222 - -1114/5. Factor -2/5 + g*t - 2/5*t**b.
-2*(t - 1)**2/5
Let j(u) be the second derivative of -3*u**5/20 - u**4/4 - 3*u. Factor j(f).
-3*f**2*(f + 1)
Let z(b) be the third derivative of -b**8/336 - b**7/105 + b**6/120 + b**5/30 + 26*b**2. Factor z(n).
-n**2*(n - 1)*(n + 1)*(n + 2)
Let p be 3/((-27)/(-30)) + -3. Let w(v) be the first derivative of 0*v**3 + 0*v**2 - p*v**6 + 0*v - 4/5*v**5 - 1/2*v**4 + 1. Determine a so that w(a) = 0.
-1, 0
Let q(s) be the second derivative of -1/60*s**6 + 0*s**2 - 1/40*s**5 - 6*s + 0 + 1/12*s**3 + 1/24*s**4. Find z such that q(z) = 0.
-1, 0, 1
Let l(v) be the third derivative of -v**7/105 - v**6/30 + v**5/30 + v**4/6 + 4*v**2. Suppose l(q) = 0. What is q?
-2, -1, 0, 1
Let p = -4 - 4. Let r be (-4 + 1)/(60/p). Let -r*i**2 - 12/5*i - 18/5 = 0. Calculate i.
-3
Factor -4*q + 85 + q**2 - q + 2*q**3 - 83.
(q - 1)*(q + 2)*(2*q - 1)
Let z(v) be the first derivative of v**5/50 - v**3/5 - 2*v**2/5 - 3*v + 3. Let y(q) be the first derivative of z(q). Factor y(n).
2*(n - 2)*(n + 