Suppose 4*g = 2*v - 4, 0 = -2*g - 3*g + 5*v - 10. Find d such that g*d**2 + 2/3*d**3 - 2/3*d + 0 = 0.
-1, 0, 1
Let a(w) = -w**3 + w**2 + 26*w - 36. Let o(u) = -u**3 + u**2 + 53*u - 72. Let m(q) = 5*a(q) - 2*o(q). Find s such that m(s) = 0.
-3, 2
Let l(x) = x**2 - 10*x - 11. Let i be l(11). Find a, given that -a - 1/2*a**2 + i = 0.
-2, 0
Let x(k) be the third derivative of -1/945*k**7 + 0*k + 0 - 1/90*k**5 + 4*k**2 + 0*k**3 - 1/108*k**4 - 1/180*k**6. Solve x(m) = 0 for m.
-1, 0
Let j(l) = -l**3 + 4*l**2 + 4*l + 10. Let v be j(5). Factor 0*a**3 + 2/5*a + 4/5*a**4 + 0 - 4/5*a**2 - 2/5*a**v.
-2*a*(a - 1)**3*(a + 1)/5
Let o(n) = n**2 + 10*n + 10. Let r be o(-9). Let l(h) = h**3 - 9*h**2 + 9*h - 8. Let z be l(8). Factor -i - i + z*i**2 - i**2 - r.
-(i + 1)**2
Let v(o) = -2*o**2 + 2*o + 14. Let r(k) = -4*k**2 + 3*k + 27. Let f(y) = -2*r(y) + 5*v(y). Find q such that f(q) = 0.
-2, 4
Let w(k) be the second derivative of -3*k**5/100 + 3*k**4/20 + 9*k. Determine g so that w(g) = 0.
0, 3
Factor 2/3*a**2 - 2/3 + 2/3*a - 2/3*a**3.
-2*(a - 1)**2*(a + 1)/3
Let i(a) = -a**4 + a**2. Let u(l) = -5*l**4 - l**3 + 4*l**2. Let f(w) = 9*i(w) - 2*u(w). Find z, given that f(z) = 0.
-1, 0
Let f = 2359/6 - 393. Factor 1/6*v + 0 + f*v**2.
v*(v + 1)/6
Let i be -1 + 8/60*220/24. Factor 10/9*q**2 + 8/9*q**3 + 0 + i*q.
2*q*(q + 1)*(4*q + 1)/9
Let w be 22/4 - (-1)/(-2). Let z(l) be the first derivative of 1 + 0*l + 0*l**2 - 8/25*l**w + 2/15*l**3 - 3/10*l**4. Determine f so that z(f) = 0.
-1, 0, 1/4
Let j(v) = v**3 + v**2 + 4*v + 4. Let x(y) = y + 1. Let q(o) = -j(o) + 4*x(o). Factor q(h).
-h**2*(h + 1)
Let l(d) be the first derivative of 0*d**3 + 6 + 0*d + 16/5*d**5 + 0*d**2 + 4*d**4 + 2/3*d**6. Factor l(u).
4*u**3*(u + 2)**2
Let -2/7*l**3 - 6/7*l**2 - 4/7*l + 0 = 0. Calculate l.
-2, -1, 0
Let t(u) be the first derivative of 4 + 1/24*u**4 + 0*u + 1/3*u**2 + 2/9*u**3. Suppose t(p) = 0. Calculate p.
-2, 0
Let j(w) be the third derivative of 1/75*w**5 + 0*w + 1/10*w**4 + 0 + 0*w**3 - w**2. Solve j(v) = 0.
-3, 0
Let c be (-6)/45 - 14/(-105). Let s(o) be the second derivative of 2*o + 0*o**3 + 1/30*o**4 + c - 1/105*o**7 + 1/25*o**6 + 0*o**2 - 3/50*o**5. Factor s(j).
-2*j**2*(j - 1)**3/5
Let n(g) be the first derivative of 1/2*g**4 - 4/3*g**3 + g**2 + 4 + 0*g. Let n(i) = 0. Calculate i.
0, 1
Let w(k) be the first derivative of k**6/900 - k**5/300 - k**4/30 - 7*k**3/3 - 2. Let j(t) be the third derivative of w(t). Factor j(i).
2*(i - 2)*(i + 1)/5
Solve 12/13*w**2 + 0 - 14/13*w + 2/13*w**3 = 0 for w.
-7, 0, 1
Let q(r) be the third derivative of -1/66*r**4 + 0*r**3 + 3*r**2 + 1/330*r**5 + 0*r + 0. Let q(t) = 0. Calculate t.
0, 2
Let r = -5 + 13. Let p = r - 8. Factor 0*j**2 + 0*j + 1/2*j**4 - 1/2*j**3 + p.
j**3*(j - 1)/2
Let q(p) be the first derivative of 5*p**4/2 + 2*p**3/3 + 9. Let q(y) = 0. What is y?
-1/5, 0
Suppose b = -2*b + 18. Let n(o) be the second derivative of 0*o**3 + 1/15*o**5 + 1/9*o**4 + 0 + 1/90*o**b + 2*o + 0*o**2. Factor n(z).
z**2*(z + 2)**2/3
Suppose 4*v + 3 = 3. Factor -4/7*c**2 + v*c + 0 - 2/7*c**3.
-2*c**2*(c + 2)/7
Let z(q) be the third derivative of -q**5/30 + q**4/2 + 7*q**3/3 + 9*q**2 - q. Find h, given that z(h) = 0.
-1, 7
Let f(m) be the third derivative of m**7/5040 - m**6/360 + m**5/60 - m**4/12 + 3*m**2. Let d(x) be the second derivative of f(x). Factor d(o).
(o - 2)**2/2
Let y(r) be the second derivative of 0*r**3 - 1/60*r**4 + 1/10*r**2 - 7*r + 0. Find k such that y(k) = 0.
-1, 1
Let v(t) = 3*t**3 + 9*t**2 + 6*t - 18. Let r(f) = -3*f**3 - 8*f**2 - 7*f + 18. Let g(i) = -3*r(i) - 4*v(i). Determine a, given that g(a) = 0.
-3, -2, 1
Let y = -4 + 6. Factor 4*p - p - 3*p - 2*p - y*p**2.
-2*p*(p + 1)
Let r(g) be the first derivative of -g**6/40 - g**5/40 + g**4/4 + 4*g**3/3 - 2. Let c(w) be the third derivative of r(w). Factor c(n).
-3*(n + 1)*(3*n - 2)
Let a(z) be the first derivative of -4*z**6/3 - 12*z**5/5 + 4*z**3/3 - 31. Factor a(r).
-4*r**2*(r + 1)**2*(2*r - 1)
Let i(t) = t**3 - 2*t**2 + 8*t - 14. Let y be i(2). Find b, given that 27/2*b**4 - 45/2*b**3 + 0 - 3/2*b + 21/2*b**y = 0.
0, 1/3, 1
Let q(m) = 2*m - 6. Let h be q(4). Factor 8*o**h + o**3 - 4*o**3 - 2*o**2.
-3*o**2*(o - 2)
Let k = 15 - 29/2. Suppose 9 = 4*g - g. Determine f, given that 5/2*f**2 + f**g + k + 2*f = 0.
-1, -1/2
Let s(x) be the second derivative of -x**8/53760 + x**7/6720 - x**6/2880 + x**4/6 + 6*x. Let j(y) be the third derivative of s(y). Determine p so that j(p) = 0.
0, 1, 2
Let m(f) be the third derivative of 0*f - 1/9*f**3 + 1/8*f**4 + 5*f**2 + 0 + 11/180*f**5. Suppose m(u) = 0. What is u?
-1, 2/11
Let g(n) be the second derivative of 0*n**2 - n + 0*n**5 - 1/30*n**6 + 0*n**3 + 0 + 1/12*n**4. Factor g(p).
-p**2*(p - 1)*(p + 1)
Suppose -2*c = -c + 2*b - 2, 5*c + b = -8. Let g be ((-15)/9 - c) + 0. Determine f, given that -g + 2/3*f - 1/3*f**2 = 0.
1
Suppose -3*y - 3 = -0. Let t be 14*1/(-18) - y. Factor 0*k + 0 - 2/9*k**3 + 0*k**2 + t*k**4.
2*k**3*(k - 1)/9
Let c(w) be the second derivative of -1/40*w**6 - 7/80*w**5 + 0*w**2 - w - 5/48*w**4 + 0 - 1/24*w**3. Factor c(a).
-a*(a + 1)**2*(3*a + 1)/4
Let q = -11 - -20. Determine g so that -q*g + 0 + 2*g**2 - 2 + 36*g**3 - 9*g**5 - 18*g**5 = 0.
-1, -1/3, 2/3, 1
Let i(w) be the third derivative of -1/140*w**5 + 0*w**3 - 4*w**2 - 1/840*w**6 + 0*w - 1/84*w**4 + 0. Let i(q) = 0. What is q?
-2, -1, 0
Let a(y) be the first derivative of 3*y**4/7 - 3*y**3/7 - 3*y**2/14 - 2. Factor a(x).
3*x*(x - 1)*(4*x + 1)/7
Let m(c) be the second derivative of c**6/36 + c**5/6 + 25*c**4/72 + 5*c**3/18 + 7*c + 1. Factor m(h).
5*h*(h + 1)**2*(h + 2)/6
Suppose 3*b = 3, -2*b + 3 + 5 = 3*r. Let m(g) be the first derivative of 0*g**3 - 1/4*g**r + 1/4*g**4 + 0*g**5 + 0*g - 1/12*g**6 - 1. Let m(d) = 0. Calculate d.
-1, 0, 1
Suppose -2 - 35*a**3 + 30*a + 22 - 5*a**5 - 25*a**4 - 8*a + 18*a + 5*a**2 = 0. Calculate a.
-2, -1, 1
Let l = 1/2 + 0. Let w = l + -3/14. Solve 0 - 12/7*s**3 + 8/7*s**4 - 2/7*s**5 + 8/7*s**2 - w*s = 0 for s.
0, 1
Suppose -3*b = -4*b + 1. Suppose -13 = -2*n + 3*h, 3 = -2*n - 2*h + b. Factor -2*w**3 - 2 + n*w**2 + w**5 + w**4 - 2*w**4 + 1 + w.
(w - 1)**3*(w + 1)**2
Let g be (250/(-15) - -6)/(-3). Factor -g - 2/9*w**2 + 16/9*w.
-2*(w - 4)**2/9
Let c(n) = n**3 - n**2 - 2*n + 2. Let o be c(2). Suppose -2*l = -0*l + o*s - 4, 2 = l - 5*s. What is y in -2/5*y**l - 2/5 + 4/5*y = 0?
1
Solve 2*m**3 - 3/2 - 2*m + m**2 + 1/2*m**4 = 0.
-3, -1, 1
Suppose -26*r**3 - 2*r**5 - 2*r**2 + 3*r**4 + 2*r**2 + 28*r**3 = 0. Calculate r.
-1/2, 0, 2
Let c be 48/(-12) + 9 + -1. Let a(n) be the first derivative of 3 + 2/33*n**3 - 1/22*n**c + 0*n**2 + 0*n. Suppose a(q) = 0. Calculate q.
0, 1
Let g = -19907/1560 + 166/13. Let s(t) be the third derivative of 0*t - g*t**6 - 1/20*t**5 - 1/8*t**4 + t**2 - 1/6*t**3 + 0. Factor s(c).
-(c + 1)**3
Let d be -3 - (425/(-3))/1. Let b = d - 136. Solve -2/3 + 4/3*p**5 - b*p**2 + 4/3*p**3 + 10/3*p**4 - 8/3*p = 0.
-1, -1/2, 1
Let m be (-22)/(-10) + (-3)/15. Let k(r) be the first derivative of 1/2*r**4 - 2/5*r**5 + 2/3*r**3 + 0*r + 0*r**m - 1/3*r**6 + 1. Let k(h) = 0. What is h?
-1, 0, 1
Let w(q) be the second derivative of 5*q**4/12 - 10*q**3/3 + 10*q**2 + 17*q. Factor w(x).
5*(x - 2)**2
Let l(y) = -67*y**2 - 35*y - 1. Let j(p) = p**2 + p - 1. Let c(q) = 3*j(q) + l(q). Factor c(n).
-4*(4*n + 1)**2
Determine j, given that 2/5*j**3 - 8/15*j**4 - 8/15*j + 0 + 8/15*j**2 + 2/15*j**5 = 0.
-1, 0, 1, 2
Determine p, given that -5/2*p**3 - 1/4*p**5 + 5/4*p**4 - 5/4*p + 5/2*p**2 + 1/4 = 0.
1
Let f(k) = -2*k**3 + 6*k**2 - 4*k - 3. Let a(p) = -4*p**3 + 12*p**2 - 8*p - 5. Let s(d) = 3*a(d) - 5*f(d). Factor s(b).
-2*b*(b - 2)*(b - 1)
Suppose 2*z + 14 = 3*q - 0*z, -21 = -4*q + 5*z. Suppose 2*c + 6 = 5*c. Factor q*f + c*f**2 + 2*f - 4*f - 4*f**2.
-2*f*(f - 1)
Solve 0 + 16/5*f**2 + 6/5*f = 0.
-3/8, 0
Let h(x) be the second derivative of -x**7/14 - x**6/2 - 27*x**5/20 - 7*x**4/4 - x**3 - 8*x. Factor h(c).
-3*c*(c + 1)**3*(c + 2)
Suppose 3*n - 7 + 13 = 0. Let h be (-1)/n + 2/(-4). Determine g so that -8/7*g + h - 18/7*g**3 + 24/7*g**2 = 0.
0, 2/3
Let h = 283/42 - 46/7. Factor -1/3*o + h + 1/6*o**2.
(o - 1)**2/6
Let n(v) be the second derivative of v**5/20 - v**4/4 + v**3/3 + v**2 - v. Let p be n(2). Solve 0*y**4 + 0 - 4/7*y**3 + 0*y**p + 2/7*y**5 + 2/7*y