et z(m) be the third derivative of -m**8/84 - 4*m**7/105 - m**6/30 - m**2 + 5. Factor z(h).
-4*h**3*(h + 1)**2
Let c(w) be the first derivative of -w**4/4 + 2*w**3 - 11*w**2/2 + 6*w + 20. Factor c(m).
-(m - 3)*(m - 2)*(m - 1)
Factor 1/5*p**4 + 1/5*p**3 + 0*p + 0*p**2 + 0.
p**3*(p + 1)/5
Let z(u) = u + 9. Let h be z(-7). Suppose 6*f**4 - 10*f + 8*f**3 - f**2 - 4 - 3*f**2 + h*f**5 + 2*f**4 = 0. What is f?
-2, -1, 1
Let o(d) = -d**5 - 6*d**4 - 5*d**2 + 5. Let g(c) = -3*c**4 - 3*c**2 + 3. Let t(j) = 5*g(j) - 3*o(j). Factor t(x).
3*x**4*(x + 1)
Let m(c) be the second derivative of 1/90*c**5 + 0*c**2 + 0 - 1/54*c**4 - 2*c + 0*c**3. Solve m(p) = 0 for p.
0, 1
Suppose 3*x = 2*z + 5*x - 30, -3*x + 15 = 0. Let h be (-8)/(-40) - (-18)/z. Factor 2*t**3 - t**4 + 1/5*t**5 - h*t**2 - 1/5 + t.
(t - 1)**5/5
Let t be (-35)/(-5) - (5 + 2/(-1)). Suppose 1/3*a**3 + 0 - 1/3*a**t - 1/3*a + 1/3*a**2 = 0. What is a?
-1, 0, 1
Let 8 - n**2 + 2 - n - 9 + n**3 = 0. Calculate n.
-1, 1
Let 16/3 - 8/3*z - 1/3*z**3 - 7/3*z**2 = 0. Calculate z.
-4, 1
Suppose -4*n + n = 0. Let o(d) be the first derivative of 4/39*d**3 + 1/26*d**4 + n*d + 1/13*d**2 - 4. Factor o(i).
2*i*(i + 1)**2/13
Suppose -3*j - 9 = 0, 0*j + 3*j = 5*l - 34. Suppose l*k = a + 2*a + 15, 3 = k + 4*a. Factor -3*b - b**4 + 2*b - b**2 - b**5 - 1 + 3*b**2 + 2*b**k.
-(b - 1)**2*(b + 1)**3
Let h(g) = g**2 + 16*g - 34. Let i be h(-18). Let t(r) = 2*r**3 - 2*r**2 - 2*r. Let f be t(2). Suppose 16*q + f*q**3 - 12*q**i - 8 - 1/2*q**4 = 0. What is q?
2
Let s(q) = 6*q**2 - 4*q. Let w(h) = h**3 + h. Let o(u) = -s(u) + w(u). Find l, given that o(l) = 0.
0, 1, 5
Suppose 2*l + 3 = -p + 2, 0 = -3*l + p + 11. Let v = -4 + 6. Find o, given that 6*o**2 - 4*o**v - l*o + o = 0.
0, 1/2
Let x be 8/15 + (-20)/(-25). Let t(y) be the third derivative of x*y**3 + 2*y**2 + 0 + 1/30*y**5 - 1/3*y**4 + 0*y. Factor t(d).
2*(d - 2)**2
Let u be -17 + 20 + 22/(-8). Let z be 1/(-4) - (-2)/4. Determine f, given that u*f + 0 + z*f**2 = 0.
-1, 0
Let l(o) = -3*o - 6. Let i be l(-7). Suppose -2*c - 2*h - 3 + i = 0, 0 = -3*c - 5*h + 26. Suppose -4 - 29*k + k**c - 15*k**2 + 11*k = 0. What is k?
-1, -2/7
Let d be ((-19)/19)/((-10)/4). Let f(u) be the first derivative of -4 + d*u**2 - 14/15*u**3 + 0*u + 14/25*u**5 - 1/5*u**4. Solve f(j) = 0 for j.
-1, 0, 2/7, 1
Let q(w) be the first derivative of -w**3/6 - w**2/6 + 9. Factor q(z).
-z*(3*z + 2)/6
Suppose -2*l + 63 = -125. Let m be 2/7 + l/14. Factor 2*h**2 + 0 + m*h**3 + 0*h**2 + 0.
h**2*(7*h + 2)
Let o(b) be the third derivative of -b**9/3024 + b**8/840 - b**7/840 + 5*b**3/6 + b**2. Let q(k) be the first derivative of o(k). Suppose q(j) = 0. What is j?
0, 1
Factor -6 - 2 + 8 + 4*w**2 + 4*w.
4*w*(w + 1)
Suppose 2*k + 2*k = 8. Let w(r) be the third derivative of 0*r**3 - 3/110*r**5 + 1/66*r**4 + 0*r + 0 + 7/660*r**6 - 2*r**k. Suppose w(n) = 0. Calculate n.
0, 2/7, 1
Let l(r) be the third derivative of -r**8/112 - r**7/35 + r**5/10 + r**4/8 - 2*r**2. Factor l(p).
-3*p*(p - 1)*(p + 1)**3
Let h(w) be the third derivative of w**6/840 - 2*w**5/105 + 2*w**4/21 + 15*w**2. Factor h(c).
c*(c - 4)**2/7
Let p be (-27)/(-18)*(-24)/(-14) + -2. Suppose 0*l + 0 - 2/7*l**3 - p*l**2 = 0. What is l?
-2, 0
Let g be 4/10*(1 - (-19)/(-20)). Let y(b) be the second derivative of 0 - 1/5*b**3 + g*b**5 + 0*b**4 - 2/5*b**2 - 2*b. Factor y(l).
2*(l - 2)*(l + 1)**2/5
Let d be (7 - (-6)/15) + 1. Suppose -22/5*a**2 + 0 + d*a**3 + 4/5*a - 34/5*a**4 + 2*a**5 = 0. Calculate a.
0, 2/5, 1
Factor -66*c**2 + 106*c**3 - 28 - 72*c - 130*c**3 + 1 - 3*c**4.
-3*(c + 1)**2*(c + 3)**2
Let b = 205 + -203. Factor -4/5 - 8/5*o**3 - 4/5*o**5 + 12/5*o - 8/5*o**b + 12/5*o**4.
-4*(o - 1)**4*(o + 1)/5
Suppose -1 + 55 = 27*u. Find s, given that 5/4*s**3 + u*s**2 + 0 + 1/4*s**4 + s = 0.
-2, -1, 0
Let s(i) be the third derivative of i**5/20 + i**4/2 + 2*i**3 - 2*i**2 - 4*i. Let s(c) = 0. Calculate c.
-2
Let m(d) be the third derivative of -1/420*d**6 - 3*d**2 - 1/210*d**5 + 0 + 1/42*d**4 + 0*d**3 + 0*d. Factor m(l).
-2*l*(l - 1)*(l + 2)/7
Factor v**5 - 2*v**5 - v**5 + 5*v**5.
3*v**5
Let i(k) = 2*k**2 + k + 9. Let b(a) = a**2 + 4*a + 10. Let d be b(-4). Let f(v) = -v**2 - 5. Let c(t) = d*f(t) + 6*i(t). Find o such that c(o) = 0.
-2, -1
Let z(r) = r**4 + r**3 + r**2 + 1. Let m(q) = -q**4 - 6*q**3 - q**2 + 2*q + 2. Let o(k) = 3*m(k) - 6*z(k). Suppose o(b) = 0. Calculate b.
-2, -1, 0, 1/3
Let o = 70 + -37. Let a be -1 + o/9 + 0. Factor -2/3*u**2 - 8/3*u - a.
-2*(u + 2)**2/3
Factor 1/5*w**4 + 1/5*w**3 + 0*w - 1/5*w**5 - 1/5*w**2 + 0.
-w**2*(w - 1)**2*(w + 1)/5
Let c(a) be the third derivative of a**7/210 + a**6/60 - a**4/12 - a**3/6 + 6*a**2. Suppose c(w) = 0. Calculate w.
-1, 1
Let z(n) be the first derivative of -n**6/2 + 3*n**5/5 + 3*n**4/4 - n**3 - 11. Factor z(m).
-3*m**2*(m - 1)**2*(m + 1)
Let j(a) be the first derivative of -2*a**6/3 + 2*a**4 - 2*a**2 + 6. Factor j(b).
-4*b*(b - 1)**2*(b + 1)**2
Let c(p) be the first derivative of 0*p**3 + 0*p + 1/20*p**5 - 3/16*p**4 + 3 + 1/2*p**2. Let c(j) = 0. Calculate j.
-1, 0, 2
Suppose -4 = s + 2*d - 6, 4*s - 8 = 5*d. Factor 0 + 4/5*f + 0*f**s - 4/5*f**3.
-4*f*(f - 1)*(f + 1)/5
Determine i so that 8*i**3 - 8*i + 3*i**2 - 4*i**3 - 7*i**2 = 0.
-1, 0, 2
Suppose 106 + 134 = 3*k. Let g be 2/7 + k/14. Let 16*b - 5 + 2*b**3 - g + 0 + 3 - 10*b**2 = 0. Calculate b.
1, 2
Suppose -5*c - 3*c = -32. Let z(g) be the second derivative of -8/11*g**2 - 1/11*g**4 - 1/110*g**5 + 0 - 4/11*g**3 + c*g. Factor z(x).
-2*(x + 2)**3/11
Let p(g) be the first derivative of -2 + 3/20*g**5 + 5/12*g**4 + 1/3*g**3 - 2*g + 0*g**2. Let z(j) be the first derivative of p(j). Solve z(x) = 0.
-1, -2/3, 0
Let d = 281/105 - 23/15. Suppose -1 - 1 = -s. Let -d*h + 2/7*h**s + 6/7 = 0. What is h?
1, 3
Factor -2/17*j**3 + 2/17 + 6/17*j**2 - 6/17*j.
-2*(j - 1)**3/17
Let k(p) = p**3 - p. Let j(m) = -m**3 - 4*m**2 - 3*m. Let l(s) = 2*j(s) - 2*k(s). Find c such that l(c) = 0.
-1, 0
Let t(k) be the third derivative of -k**6/40 - k**5/20 + 5*k**4/8 - 3*k**3/2 - 36*k**2. Solve t(a) = 0 for a.
-3, 1
Let a(l) = l - 1 - 2*l + 4*l. Let z be a(2). Suppose n**z - n - n**3 + 2*n - n**3 = 0. Calculate n.
-1, 0, 1
Let l(t) be the first derivative of 22*t**3/51 - 13*t**2/17 + 4*t/17 + 3. Factor l(w).
2*(w - 1)*(11*w - 2)/17
Find i, given that -36*i - 12*i**2 - 5*i**3 - 20 - 11*i**3 + 20*i**3 = 0.
-1, 5
Determine m, given that 1/2*m**3 - 1/2*m**4 + 0 + 0*m + 0*m**2 = 0.
0, 1
Let u = -16 + 28. Let l be -1*(-2)/u*2. Solve -2/3*q + l + 1/3*q**2 = 0 for q.
1
Let q(u) be the third derivative of -u**5/720 - u**4/72 - u**3/24 + 11*u**2. Factor q(w).
-(w + 1)*(w + 3)/12
Let l(f) be the second derivative of 0*f**4 - 1/100*f**5 + 1/30*f**3 + 0 + 0*f**2 - f. Find x such that l(x) = 0.
-1, 0, 1
Let z(j) = j**2. Let h(w) = 11*w**2 - 46*w + 12. Let d(g) = -h(g) - 3*z(g). Suppose d(r) = 0. Calculate r.
2/7, 3
Factor 20*v - 8 - 4*v**2 + 3*v**2 - 11*v**2 + 4*v**4 - 4*v**3.
4*(v - 1)**3*(v + 2)
Suppose -4 = 2*b - 14. Suppose 5*u + b*q = 3 + 7, 6 = 3*u - 3*q. Suppose 1/4 - 1/4*g**u + 0*g = 0. Calculate g.
-1, 1
Find k, given that 4*k**4 - 6*k**2 - k**3 - k**4 + 4*k**3 = 0.
-2, 0, 1
Let w(z) be the first derivative of -z**5/20 + z**3/2 + 5*z**2/2 + 4. Let p(v) be the second derivative of w(v). Find k such that p(k) = 0.
-1, 1
Let i(w) be the second derivative of w**7/3780 - w**6/540 - w**5/60 - w**4/3 - 3*w. Let x(s) be the third derivative of i(s). Find n such that x(n) = 0.
-1, 3
Let c(v) be the first derivative of v**5/15 + 13*v**4/24 + v**3/2 - 2*v**2 - 8. Let o(u) be the second derivative of c(u). Determine j, given that o(j) = 0.
-3, -1/4
Let m(g) be the second derivative of g**5/90 + g**4/6 - 4*g**3/9 - 20*g**2/9 + 6*g - 7. What is k in m(k) = 0?
-10, -1, 2
Let f be (-66)/(-363) - (-7)/22. Let 5/2*b**2 + 4*b + 2 + f*b**3 = 0. Calculate b.
-2, -1
Let q(h) = h**3 + 6*h**2 + 3*h - 7. Let a be q(-5). Suppose -a*n + 0*v - 1 = 5*v, -5*n + 5 = 5*v. Solve -1/5*z**4 + 1/5*z**2 + 1/5*z**n - 1/5*z + 0 = 0 for z.
-1, 0, 1
Let u(r) = r**3 + 10*r**2 - 3*r - 4. Let o(w) = -2*w**3 - 11*w**2 + 3*w + 5. Let c = -10 - -6. Let h(g) = c*o(g) - 5*u(g). Factor h(y).
3*y*(y - 1)**2
Solve 1/4*y**3 + 1/4*y**2 - 3/2*y + 0 = 0.
-3, 0, 2
Let k = -72 + 72. Let d(u) be the second derivative of k*u**2 + 2*u - 1/24*u**3 + 1