 derivative of -z**6/240 - z**5/120 + z**4/48 + z**3/12 - 17*z**2. Suppose s(c) = 0. What is c?
-1, 1
Factor -6/5 - 9/5*u - 3/5*u**2.
-3*(u + 1)*(u + 2)/5
Let j(c) = -4*c - 1. Let u be j(-1). Suppose 6*x = 5*x + u. Factor -8*a**2 - 6*a**3 + 6*a**3 - 1 - 4*a**x - 2*a - 3*a.
-(a + 1)*(2*a + 1)**2
Let w(f) be the first derivative of -2*f**3/3 + 4. What is g in w(g) = 0?
0
Factor -l**2 - 3*l**2 - l**2 + l**4 + 4*l**2.
l**2*(l - 1)*(l + 1)
Let p = -18/5 + 77/20. Find n, given that -1/4*n**2 + 0*n + 0 + 0*n**3 + p*n**4 = 0.
-1, 0, 1
Let c(j) = -j**2 - 10*j - 20. Let w be c(-6). Factor -2/5*m**3 + 3/5*m**w - 1/5*m**5 + 0*m**2 + 0*m + 0.
-m**3*(m - 2)*(m - 1)/5
Let t(o) = -6*o**3 + 3*o**2. Let d(b) = b**4 + 11*b**3 - 7*b**2. Let g(y) = -3*d(y) - 5*t(y). What is i in g(i) = 0?
-2, 0, 1
Let q(k) = -14*k + 1. Let a be q(3). Let m = a + 59. Factor r**4 + 4*r**3 - r + 3*r**3 + 8 + m*r**2 + 21*r.
(r + 1)*(r + 2)**3
Let a(h) = 34*h**3 + 46*h**2 + 20*h + 8. Let d(l) = -11*l**3 - 15*l**2 - 7*l - 3. Let o(c) = 3*a(c) + 8*d(c). What is t in o(t) = 0?
-1, -2/7, 0
Let n(b) = -b**3 + 5*b**2 - 5*b + 3. Let c be n(3). Let 12*d**3 + 6*d**2 + 9*d**5 - 12*d**5 - 7*d - c - 2*d = 0. Calculate d.
-1, 1, 2
Let v be 8 + -4 + -6 + 6. Suppose 0 - 4/3*f**2 + 0*f - 5/3*f**4 - v*f**3 = 0. Calculate f.
-2, -2/5, 0
Suppose 6 - 3 = q. Let p(h) be the first derivative of 0*h**4 + 3/5*h**5 + 3 + 0*h**2 + q*h - 2*h**3. Determine t, given that p(t) = 0.
-1, 1
Suppose -4*q + 18 = 10. Factor -4*u**2 + u**q - 4 + 4 - 3*u.
-3*u*(u + 1)
Let b(z) be the first derivative of 3*z**5/10 + 11*z**4/24 - 8*z**3/9 - z**2/3 - 14. Find f such that b(f) = 0.
-2, -2/9, 0, 1
Let x(i) = -6*i**2 + 12*i + 28. Let d(t) = -2*t**2 + 4*t + 9. Let k(p) = 10*d(p) - 3*x(p). Factor k(o).
-2*(o - 3)*(o + 1)
Suppose -4*b = -a + 5*a - 52, 2*a - b = 11. Suppose 5*y = 2*t + a, 5*y - 3 = 4*t + 3. Factor -2/11*r**y + 8/11*r - 8/11.
-2*(r - 2)**2/11
Let v(d) be the second derivative of d**6/180 - d**5/15 + d**4/3 - 8*d**3/9 + 4*d**2/3 + 6*d. Let v(x) = 0. What is x?
2
Let p(f) = -2*f**2 + 11*f. Let g(w) = -9*w**2 + 54*w. Let v(h) = 5*g(h) - 24*p(h). Solve v(i) = 0.
-2, 0
Let u = -3 + 12. Let z be u/2*(-1)/(-6). Determine h so that 3/4*h**4 + 6*h - 3/4*h**2 - 15/4*h**3 - 3 + z*h**5 = 0.
-2, 1
Suppose -4*x + 23 = 7. Find q, given that -1 - 6*q + x*q**2 - 1 - q + 0 = 0.
-1/4, 2
Let w be 4/(-42)*(-56)/480. Let v(m) be the second derivative of -w*m**5 + 0*m**3 - m + 0 + 1/54*m**4 + 0*m**2. Find j such that v(j) = 0.
0, 1
Let l = 4 + -16. Let z = l - -14. Suppose 3/2*a**4 + 0 + 0*a**z + 0*a - 1/2*a**5 - a**3 = 0. Calculate a.
0, 1, 2
Let w = 4 + -16. Let x be 2/(-30) - w/30. Suppose -1/3*i**5 - i**3 - x*i**2 + 0 - i**4 + 0*i = 0. What is i?
-1, 0
Solve 3 + 1/4*u**2 - 7/4*u = 0 for u.
3, 4
Let q(u) be the third derivative of 2*u**7/105 - u**6/5 + 13*u**5/15 - 2*u**4 + 8*u**3/3 + 15*u**2. Let q(k) = 0. What is k?
1, 2
Let m(n) = -3*n**2 - 17*n + 8. Let k(z) = z**2 + 9*z - 4. Let i(j) = 5*k(j) + 3*m(j). Let i(d) = 0. Calculate d.
-2, 1/2
Suppose -4*m = -42*u + 37*u + 3, -4*u + 15 = m. Factor 2/5*o**4 + 2*o**2 + 4/5*o + 0 + 8/5*o**u.
2*o*(o + 1)**2*(o + 2)/5
Factor -5*w**5 - 16*w + 2*w**5 - 3*w**4 + 16*w.
-3*w**4*(w + 1)
Let l(h) = -13*h**2 + 11*h - 12. Let v be 1*15*2/(-6). Let j(u) = 9*u**2 - 7*u + 8. Let w(s) = v*l(s) - 7*j(s). Factor w(k).
2*(k - 2)*(k - 1)
Let a be (-1660)/(-24) - 2/4. Let u = a - 68. Factor 2/3*c**2 + 0 - 2*c**3 - u*c**5 + 2*c**4 + 0*c.
-2*c**2*(c - 1)**3/3
Solve 532*w**3 + 20 + 52*w**4 + 131*w + 6*w**5 + 168*w**2 - 37*w - 392*w**3 = 0 for w.
-5, -1, -2/3
Let n(m) be the second derivative of m**7/84 - m**6/15 + 3*m**5/20 - m**4/6 + m**3/12 + 2*m. Factor n(w).
w*(w - 1)**4/2
Let t(b) be the third derivative of -b**7/525 + b**6/90 - 7*b**5/450 - b**4/45 + 4*b**3/45 - 11*b**2. Determine h so that t(h) = 0.
-2/3, 1, 2
Let z(s) be the third derivative of -1/20*s**5 + 0*s**3 + 1/210*s**7 - 1/12*s**4 - 5*s**2 + 0 + 0*s + 0*s**6. Suppose z(y) = 0. Calculate y.
-1, 0, 2
Let w = 95 + -93. Let u(i) be the third derivative of 0*i**3 + i**w + 1/180*i**5 + 0 - 1/36*i**4 + 0*i. Factor u(p).
p*(p - 2)/3
Let s(n) = 6*n**2 - 4*n - 2. Suppose -x + 1 = 6. Let h(c) = -c**2 + c. Let u(p) = x*h(p) - s(p). Find g, given that u(g) = 0.
-2, 1
Let l(p) be the second derivative of p**6/45 + p**5/30 - 7*p. Factor l(c).
2*c**3*(c + 1)/3
Suppose l - 13 - 21 = 0. Let -2 + 2*y**3 - y**5 + l*y**2 - 32*y**2 + 1 - y - y**4 = 0. Calculate y.
-1, 1
Let a(x) be the second derivative of -x**7/168 - x**6/40 - 3*x**5/80 - x**4/48 + 9*x. Find c, given that a(c) = 0.
-1, 0
Let m(l) be the third derivative of l**8/336 - l**7/35 + 11*l**6/120 - l**5/10 - 69*l**2. Factor m(y).
y**2*(y - 3)*(y - 2)*(y - 1)
Let y be (-1 + 3 - 6) + (-22)/(-5). Factor 0 - 2/5*c**4 + 0*c + y*c**2 + 0*c**3.
-2*c**2*(c - 1)*(c + 1)/5
Let g(b) be the first derivative of -b**4/11 + 6*b**3/11 - 12*b**2/11 + 8*b/11 + 3. Factor g(q).
-2*(q - 2)**2*(2*q - 1)/11
Suppose -14 = -5*h - 4. Suppose 0 = -h*q - 5 + 17. Let -1 + q*r**3 + 2*r**4 + 1 + 2*r + 6*r**2 = 0. What is r?
-1, 0
Factor -24 - 33*v**3 + 33*v + 3*v + 0*v**4 + 18*v**4 - 3*v**5 + 6*v**2.
-3*(v - 2)**3*(v - 1)*(v + 1)
Let n = -13/21 - -9/7. Let f(o) be the first derivative of -n*o**3 + 1/3*o**2 + 0*o - 2/3*o**4 + 3. Determine q, given that f(q) = 0.
-1, 0, 1/4
Suppose 0 = 11*t - t - 20. Factor 2/5*q**t + 0 + 4/5*q.
2*q*(q + 2)/5
Let z be (-14)/24*-2*15/14. Suppose -z*o**4 - 7/4*o**3 - 1/4*o**5 + 1/4*o**2 + 1 + 2*o = 0. Calculate o.
-2, -1, 1
Let f be -6 - -4 - (-7)/6. Let b = f + 37/30. Factor 0 - b*p**3 - 4/5*p**2 + 0*p.
-2*p**2*(p + 2)/5
Factor -3/2*y - 3/2*y**2 + 0.
-3*y*(y + 1)/2
Let l(m) be the first derivative of 2/3*m**3 - 2*m**2 - 4 + 2*m. Factor l(y).
2*(y - 1)**2
Let f(r) be the second derivative of 3*r**2 - 3/8*r**4 + 4*r - 1/40*r**6 + 1/2*r**3 - 3/16*r**5 + 0. Solve f(d) = 0 for d.
-2, 1
Suppose 0 = 7*t - 3*t - 8. Factor 0 + 0*i**t + 4/7*i**3 - 2/7*i + 0*i**4 - 2/7*i**5.
-2*i*(i - 1)**2*(i + 1)**2/7
Let k(x) be the third derivative of 1/105*x**7 + 3*x**2 + 0*x + 1/672*x**8 + 1/40*x**6 + 0 + 0*x**3 + 1/48*x**4 + 1/30*x**5. Solve k(t) = 0.
-1, 0
Let z(j) = -9*j**5 + 17*j**4 - 7*j**3 - 17*j**2 + 32*j - 16. Let m(t) = 4*t**5 - 8*t**4 + 4*t**3 + 8*t**2 - 16*t + 8. Let d(n) = -13*m(n) - 6*z(n). Factor d(u).
2*(u - 1)**3*(u + 2)**2
Let o = 26322/35 + -752. Let d(n) be the first derivative of -o*n**5 - 1 + 0*n**3 + 0*n**2 + 0*n + 0*n**4 - 1/21*n**6. Factor d(u).
-2*u**4*(u + 1)/7
Let t(i) = -17*i**4 + 23*i**3 + 38*i**2 + 12*i + 7. Let k(z) = -z**4 + z**3 + 1. Let j(b) = -14*k(b) + 2*t(b). Factor j(f).
-4*f*(f - 3)*(f + 1)*(5*f + 2)
Let x(c) be the second derivative of -c**7/140 + c**6/60 - c**5/60 + c**4/6 + c. Let n(a) be the third derivative of x(a). Factor n(z).
-2*(3*z - 1)**2
Factor p - 1/4 - 3/2*p**2 + p**3 - 1/4*p**4.
-(p - 1)**4/4
Determine t so that 0*t**4 + 0*t**2 + 2/5*t + 0 - 4/5*t**3 + 2/5*t**5 = 0.
-1, 0, 1
Let v = 1993/104 - 228/13. Let o = v - 75/56. Find p, given that o*p**3 + 2/7*p**5 + 0*p + 0 + 4/7*p**4 + 0*p**2 = 0.
-1, 0
Let z(l) = 2*l**3 - 10*l**2 + 6*l + 11. Let d be z(4). Factor 4/3 - d*y**2 - 16/3*y.
-(y + 2)*(9*y - 2)/3
Let s(q) = 8*q**2 - 11*q + 8. Let t(h) = 20*h**2 - 28*h + 20. Let m(y) = 12*s(y) - 5*t(y). Determine r so that m(r) = 0.
1
Let f = -13 + 17. Suppose -2*a + f = -0*a. Factor -2/3*u + 2/3*u**a + 0.
2*u*(u - 1)/3
Let o be (6/(-8))/((-1)/2). Let l = o + -17/14. Let -l*h**4 + 0 + 0*h**2 - 2/7*h**3 + 0*h = 0. What is h?
-1, 0
Let f(r) be the third derivative of -r**8/26880 + r**7/10080 + r**6/2880 - r**5/480 - r**4/12 - 3*r**2. Let v(j) be the second derivative of f(j). Factor v(i).
-(i - 1)**2*(i + 1)/4
Suppose k = 2*k - 4*p + 3, -p = k - 2. Determine f so that -14*f + 9*f**2 + 3*f + 1 + k + 0 = 0.
2/9, 1
Let k = 16 - 10. Let h = -4 + k. Factor 0*u**3 + u**3 + u**h + 0*u**3.
u**2*(u + 1)
Let s(x) be the first derivative of x**4 - 16*x**3/3 + 8*x**2 + 9. Factor s(r).
4*r*(r - 2)**2
Let i(t) be the second derivative of 0*t**3 + 0 - 1/10*t**6 + 3*t + 1/12*t**4 + 1/10*t**5 + 0*t**2. Solve i(s) = 0 for s.
-1/3, 0, 1
Let r(v) = -2*v**3 - v**2 + 1. Let m be r(-1). Factor -4*g**m + 169 + 4*g**4 - 169.
4*g**2*(g - 1)*(g + 1)
Let o(w) be the first derivative of w**8/168 - w**7/21 + 2*w**6/15 