 u be 184/t - 2/5. Let 1/3*h**3 - u + 4*h - 2*h**2 = 0. What is h?
2
Suppose 24/7 - 26/7*m + 2/7*m**2 = 0. What is m?
1, 12
Let b be (-48)/(-28) - (-2)/7. Factor 29*y**4 + 4*y**2 - y**b - 6*y**3 - 26*y**4.
3*y**2*(y - 1)**2
Let c(g) = g**2 - g. Let z = -1 + -4. Let x(l) = l**2 - l. Let v(m) = z*c(m) + 4*x(m). Factor v(q).
-q*(q - 1)
Let i(a) be the second derivative of a**7/16380 - a**6/4680 - 5*a**4/12 - a. Let d(x) be the third derivative of i(x). Factor d(w).
2*w*(w - 1)/13
Let a(t) = t**4 - 5*t**3 - 6*t**2 - 5. Let y(k) = -6 - 8*k**3 - 13*k**2 + 7*k**2 - 2 + k**4 - 3*k**2. Let u(b) = 8*a(b) - 5*y(b). Find q, given that u(q) = 0.
-1, 0, 1
Solve 5/2*b**2 - 1/2 - 2*b = 0 for b.
-1/5, 1
Let q(z) be the second derivative of 1/10*z**3 + 0 + 9/50*z**5 - 7/20*z**4 + z + 0*z**2. Factor q(d).
3*d*(d - 1)*(6*d - 1)/5
Let z(q) be the second derivative of -3/10*q**5 - 1/15*q**6 + 0*q**2 - 1/2*q**4 + 0 - 1/3*q**3 - 3*q. Factor z(b).
-2*b*(b + 1)**3
Let r be (2 - 94/22) + 3. Suppose r*s - 2/11*s**2 - 6/11 = 0. Calculate s.
1, 3
Let q be 2/(-12) - (-65)/(-6). Let n(i) = 5*i**2 + 23*i - 6. Let j(c) = -3*c**2 - 12*c + 3. Let x(t) = q*j(t) - 6*n(t). Factor x(a).
3*(a - 1)**2
Factor d**2 + 0*d**2 - 6*d - 3 + 1 + 11.
(d - 3)**2
Let -1 + 8*z + 0*z + 4*z**4 + 12*z**4 - 8*z**3 - 15*z**2 = 0. Calculate z.
-1, 1/4, 1
Let p(l) be the first derivative of -l**3/2 + 3*l/2 - 5. Let p(u) = 0. Calculate u.
-1, 1
Suppose 2*r + 2*r = -20. Let j(q) = 4*q**3 + 9*q**2 - 3*q - 5. Let l(y) = 6*y**3 + 14*y**2 - 4*y - 8. Let h(a) = r*l(a) + 8*j(a). Factor h(n).
2*n*(n - 1)*(n + 2)
Let k(j) be the third derivative of -j**6/90 + 17*j**5/180 - 5*j**4/18 + 2*j**3/9 - 2*j**2. Solve k(c) = 0 for c.
1/4, 2
Let l = 131 - 128. Let 156/5*w**l - 44/5*w + 8/5 + 108/5*w**4 - 4/5*w**2 = 0. What is w?
-1, 2/9, 1/3
Let r be 8 + (-1 - -1 - 2). Factor 24*p**2 + r - 12*p**2 - 9*p - 9*p**2.
3*(p - 2)*(p - 1)
Let s(m) be the first derivative of -4*m**3/3 + 1. Factor s(z).
-4*z**2
Let k(a) be the third derivative of 2*a**7/105 - a**6/10 + 2*a**5/15 - 3*a**2. Determine m so that k(m) = 0.
0, 1, 2
Let h(m) be the first derivative of 4*m**5/15 - 2*m**4 + 16*m**3/3 - 20*m**2/3 + 4*m - 4. Factor h(l).
4*(l - 3)*(l - 1)**3/3
Let l(q) be the first derivative of -2 + 1/6*q**3 + q + 3/4*q**2. Factor l(z).
(z + 1)*(z + 2)/2
Let v = 265 - 1319/5. Let o = 225 + -1121/5. Factor -1/5*w**5 - v*w**3 - 1/5*w - 4/5*w**4 + 0 - o*w**2.
-w*(w + 1)**4/5
Let r(t) be the third derivative of -t**6/30 + 2*t**5 - 50*t**4 + 2000*t**3/3 - 15*t**2. Factor r(q).
-4*(q - 10)**3
Let y(o) = -2*o**2 + 5. Let r(u) = 2*u**2 - 4. Let i(v) = -3*r(v) - 2*y(v). Determine s so that i(s) = 0.
-1, 1
Suppose 5*p = -w + 15, -2*p - 2*p = 2*w - 12. Suppose c = -p*s + 27, -2*s + 0*c + 17 = c. Factor -s*z**4 - 7*z - 2*z**5 + 0*z**4 + 3*z - 14*z**2 - 18*z**3.
-2*z*(z + 1)**3*(z + 2)
Let w be ((-36)/15 - -2)*20. Let n = w + 11. Factor 0*h**3 - 4*h**3 - 2*h**n - 2*h**2 + 2*h**4 - 8*h**4 - 2*h**5.
-2*h**2*(h + 1)**3
Let u(c) = -4*c**2 - 3*c + 7. Let m(t) = -2*t**2 - t + 3. Let j(s) = 7*m(s) - 3*u(s). Factor j(x).
-2*x*(x - 1)
Let q be (-12)/(-8)*(-3)/(-18). Factor -1 - z - q*z**2.
-(z + 2)**2/4
What is g in 1/6*g**5 + 1/6*g**2 + 1/2*g**4 + 1/2*g**3 + 0 + 0*g = 0?
-1, 0
Let x(z) be the first derivative of -z**5/10 - z**4/3 + 6*z + 5. Let h(q) be the first derivative of x(q). Determine m, given that h(m) = 0.
-2, 0
Let x = 1 + 0. Let g = 2 + x. Suppose w - 1 + 2 + w**2 - g*w = 0. What is w?
1
Let l(r) be the second derivative of r**6/420 - r**4/84 - 3*r**2/2 - r. Let p(c) be the first derivative of l(c). Solve p(s) = 0 for s.
-1, 0, 1
Let s(a) = a**2 + a + 1. Let r(c) = -2*c**2 + 3*c + 23. Let l(b) = r(b) - 3*s(b). Factor l(k).
-5*(k - 2)*(k + 2)
Let i(c) be the first derivative of 3 - 1/48*c**4 + 1/40*c**6 + 0*c**3 + 2*c - 1/40*c**5 + 0*c**2. Let w(k) be the first derivative of i(k). Factor w(t).
t**2*(t - 1)*(3*t + 1)/4
Let x be (621/6)/((-3)/(-6)). Solve -x*u**5 + 0*u + 210*u**5 + 0*u = 0 for u.
0
Let m(c) be the third derivative of -c**6/780 + 7*c**5/390 - 5*c**4/52 + 3*c**3/13 + 4*c**2. Find s, given that m(s) = 0.
1, 3
Let o = -6 + 6. Suppose 5*d - 25 + o = 0. Factor 0*w**4 - 2/9*w**d + 2/9*w**3 + 0*w**2 + 0*w + 0.
-2*w**3*(w - 1)*(w + 1)/9
Let o(a) be the first derivative of a**4/12 + a**3/3 + a**2/2 + 3*a + 3. Let b(y) be the first derivative of o(y). Find z such that b(z) = 0.
-1
Let q(m) be the second derivative of -m**6/360 + m**5/60 + 2*m**3/3 + 3*m. Let a(o) be the second derivative of q(o). Factor a(w).
-w*(w - 2)
Let y(a) be the first derivative of -a**5/5 + 15*a**4/4 - 13*a**3 + 37*a**2/2 - 12*a + 19. Determine g so that y(g) = 0.
1, 12
Find q, given that 4*q + 226*q**2 + 6 - 117*q**2 + 0*q - 111*q**2 = 0.
-1, 3
Let g be 4/(-7)*112/(-32). Let i(t) be the third derivative of g*t**2 + 0*t + 0*t**3 + 0 - 1/180*t**5 + 0*t**4. Let i(y) = 0. Calculate y.
0
Let g(h) be the second derivative of h**7/42 - 4*h**6/15 + 6*h**5/5 - 8*h**4/3 + 8*h**3/3 - 16*h. Factor g(o).
o*(o - 2)**4
Let r(j) be the second derivative of 1/30*j**6 + 0*j**2 - 1/40*j**5 + 0*j**4 + 0*j**3 - 1/84*j**7 + 6*j + 0. Suppose r(p) = 0. What is p?
0, 1
Factor -384/7 - 72/7*n**2 + 288/7*n + 6/7*n**3.
6*(n - 4)**3/7
Suppose -m - 4*i = 0, 0 = m + 4*m - 3*i. Let z be 1 + 3 + m/4. Factor 0 + 2/7*s**z - 6/7*s**3 + 0*s + 4/7*s**2.
2*s**2*(s - 2)*(s - 1)/7
Let k = -12 - -14. Factor -w**k + w**3 - 12*w**4 + 3*w**2 + 11*w**4.
-w**2*(w - 2)*(w + 1)
Let k(m) = -m**3 + 7*m**2 + 8*m + 4. Let o be k(8). Suppose 0 = -w - o*w. Suppose a**5 + 0*a**2 + 0*a + w*a**3 + 2/3*a**4 + 0 = 0. What is a?
-2/3, 0
Let n(k) = -17*k**3 + 18*k**2 - 7*k - 5. Let y(l) = -4*l**2 + 2*l + 6*l**3 + 2 - 2*l**2 + 0*l**2. Let o(u) = 4*n(u) + 11*y(u). Factor o(r).
-2*(r - 1)**3
Let w(b) be the second derivative of b**5/100 - b**4/60 - 4*b - 9. Solve w(p) = 0.
0, 1
Let u(r) be the second derivative of 0*r**5 - 1/15*r**6 + 4*r + 0*r**2 + 1/6*r**3 - 1/42*r**7 + 0 + 1/6*r**4. Factor u(s).
-s*(s - 1)*(s + 1)**3
Let y = 3563/739920 - 2/3083. Let k(x) be the third derivative of 0 + y*x**5 + 0*x - 1/24*x**3 - x**2 + 0*x**4. Let k(m) = 0. Calculate m.
-1, 1
Let o(l) = 4*l**3 - 5*l**2 + 3*l + 3. Let r(y) = -23*y - 16 - 12 + 44*y**2 - 36*y**3 - 5*y. Let n(m) = -28*o(m) - 3*r(m). Factor n(q).
-4*q**2*(q - 2)
Let v = 11 + -9. Let d be ((-1)/v)/((-1)/4). Let 2*c**4 - 6*c**4 + c - 2*c**2 - c**d + 3*c**3 + 3*c**4 = 0. Calculate c.
0, 1
Let l(r) be the second derivative of 3*r**5/20 + 3*r**4/4 - r**3/2 - 9*r**2/2 + 31*r. Let l(a) = 0. Calculate a.
-3, -1, 1
Let t be (-16)/(-40)*5/4. Factor -1/4*h**4 + 0 + 3/4*h**3 + 0*h - t*h**2.
-h**2*(h - 2)*(h - 1)/4
What is m in -4/3 - 7/3*m + 1/3*m**3 - 2/3*m**2 = 0?
-1, 4
Let l(u) be the third derivative of u**5/360 - u**4/144 - u**3/18 - 7*u**2. Factor l(d).
(d - 2)*(d + 1)/6
Let p(u) = -4*u**3 + 13*u**2 + 4*u. Suppose -5*l = 19 + 11. Let t(g) = -g**3 + 3*g**2 + g. Let s(i) = l*p(i) + 26*t(i). Let s(b) = 0. What is b?
-1, 0, 1
Let z(j) = -j**3 + 7*j**2 - 4*j - 2. Let o(s) = -s**2. Let p(q) = 6*q**2 - q. Let c(t) = -5*o(t) - p(t). Let m(r) = 10*c(r) + 2*z(r). Factor m(h).
-2*(h - 2)*(h - 1)*(h + 1)
Let s be -1*(-2 + 3)/1. Let b be (2 + -3)*(s + -4). Factor 5*l**2 - 2 - b*l**2 + 0*l**2 + 2*l**2.
2*(l - 1)*(l + 1)
Suppose 4*s - 4 - 4 = 0. Factor -2*j**3 + 4 + 2*j - 4*j**s + j - j.
-2*(j - 1)*(j + 1)*(j + 2)
Let k(x) be the third derivative of -x**8/84 + x**6/10 + 2*x**5/15 - 18*x**2. Suppose k(h) = 0. What is h?
-1, 0, 2
Let t(v) be the second derivative of -v**5/60 + v**4/6 - 5*v**3/18 - 35*v. Solve t(k) = 0 for k.
0, 1, 5
Let m(s) be the second derivative of s**4/12 - 5*s**3/3 - 4*s**2 + 8*s. Let i be m(11). Factor -1/2*d - 1/2*d**5 + d**i + 0*d**4 + 0*d**2 + 0.
-d*(d - 1)**2*(d + 1)**2/2
Let y(m) = m**3 - 24*m**2 - 54*m - 34. Let f(t) = t**3 + t**2 + t + 1. Let u(d) = -6*f(d) + y(d). Suppose u(o) = 0. Calculate o.
-2
Let r = -10 - -13. Let o(p) be the third derivative of 0*p**4 + 0*p + 0 - 1/60*p**5 - 2*p**2 + 0*p**r. Determine i so that o(i) = 0.
0
Let i(m) be the second derivative of m**4/84 + m**3/21 - 7*m + 2. Factor i(j).
j*(j + 2)/7
Let g(z) be the third derivative of 0*z + 0*z**3 - 10*z**2 - 1/30*z**4 - 1/150*z**5 + 0. Suppose g(x) = 0. Calculate x.
-2, 0
Let b be 260/100 - (-4)/10. Facto