e -4 = -a - 0. Factor -2 + 1/2*k**3 - 5/2*k**2 + a*k.
(k - 2)**2*(k - 1)/2
Let d = -4 - -6. Let a be (d/14)/((-4)/(-14)). Determine p so that 1/2*p**3 - 3/2*p**2 + 3/2*p - a = 0.
1
Factor -1/2*g**4 - 1/2 - g**3 + 1/2*g + 1/2*g**5 + g**2.
(g - 1)**3*(g + 1)**2/2
Let w(a) be the second derivative of -a**9/1512 - a**3/6 + 5*a. Let d(u) be the second derivative of w(u). Factor d(n).
-2*n**5
Let z = -31 + 34. Let d(c) be the first derivative of 1/2*c**2 + 1 + 0*c**z + 0*c - 1/4*c**4. Find s such that d(s) = 0.
-1, 0, 1
Let b(f) be the second derivative of -f**5/140 - 6*f. Factor b(z).
-z**3/7
Let g = 56/215 - -6/43. Suppose g*t - 2/5*t**2 + 2/5*t**4 + 0 - 2/5*t**3 = 0. What is t?
-1, 0, 1
Let u be (0 - -7 - 2)*1. Let 4*p**3 - p**u + 4*p**5 - 4*p**5 - 2*p**4 + 4*p**2 - p**5 - 2 - 2*p = 0. Calculate p.
-1, 1
Let x(m) be the third derivative of -1/12*m**3 - 6*m**2 + 0 + 0*m - 5/96*m**4 - 1/60*m**5 - 1/480*m**6. Suppose x(l) = 0. What is l?
-2, -1
Let r = 502/1089 - 2/121. Suppose 0*o + 0*o**2 - r*o**4 + 2/9*o**3 + 2/9*o**5 + 0 = 0. What is o?
0, 1
Let b be (5 + 1 - 5)*0. What is z in 2/7*z**2 - 4/7*z + 8/7*z**3 + b - 6/7*z**4 = 0?
-2/3, 0, 1
Let x be (8/(-6))/((-4)/6). Solve -2*z**2 - 1 + 1 + 5*z**x - 3*z = 0.
0, 1
Solve -6/7 + 3/7*m**3 - 12/7*m**2 + 15/7*m = 0 for m.
1, 2
Suppose -j + 4*o = 4*j - 40, -2 = -3*j - 2*o. What is v in -j*v**5 - 2*v**4 - 8*v**2 + 23*v**3 - 19*v**3 + 4*v**4 + 6*v**4 = 0?
-1, 0, 1, 2
Let i(v) be the first derivative of -2*v**3 - 5*v**2 + 3 + 8*v - 4*v - 2. Factor i(l).
-2*(l + 2)*(3*l - 1)
Let k(r) be the second derivative of -r**6/150 + 3*r**5/50 - 3*r**4/20 + 2*r**3/15 - 16*r. Let k(i) = 0. What is i?
0, 1, 4
Let v = 39 - 57. Let j be 0 + 3*(-4)/v. Suppose 2/3 - j*c**2 + 0*c = 0. What is c?
-1, 1
Suppose -2 = -2*y + 22. Factor -y - 4*t**2 - 2*t**2 - 12*t + 3*t**2.
-3*(t + 2)**2
Find m such that -7/4*m**2 + 0 - 3/4*m = 0.
-3/7, 0
Let v(l) be the second derivative of -1/6*l**3 + 0 - 2*l - 1/2*l**2 - 3/20*l**5 + 5/12*l**4. Factor v(i).
-(i - 1)**2*(3*i + 1)
Factor 0 - 2/7*k**2 - 8/7*k.
-2*k*(k + 4)/7
Let r(g) be the first derivative of g**4/12 + g**3/9 - g**2/3 - 1. Factor r(s).
s*(s - 1)*(s + 2)/3
Let w = 20 + -20. Let l(j) be the first derivative of w*j**2 - 1/20*j**4 + 0*j - 1 + 0*j**3. Factor l(m).
-m**3/5
Let y be 2/10 + (-10)/50. Let u(v) be the second derivative of y - v + 0*v**2 - 1/18*v**3 - 1/60*v**5 + 1/18*v**4. Factor u(b).
-b*(b - 1)**2/3
Let s(i) be the second derivative of i**7/84 - i**6/15 - i**5/40 + i**4/6 - 6*i. Factor s(w).
w**2*(w - 4)*(w - 1)*(w + 1)/2
Let j(b) be the third derivative of -169/120*b**5 - 3*b**2 + 0*b + 13/12*b**4 + 0 - 1/3*b**3. Factor j(r).
-(13*r - 2)**2/2
Let b be (-90)/24 - (2 + -6). Determine p so that 1/4*p**4 + p**3 + 3/2*p**2 + b + p = 0.
-1
Suppose 4*y = -0*y + 4*p + 24, y - 3*p = 6. Let b be y/(-8) + (-2)/(-2). Determine w, given that 0 - 1/4*w**2 - b*w**3 + 0*w = 0.
-1, 0
Let g(s) be the second derivative of -s**7/294 - s**6/210 + 3*s**5/70 - s**4/42 - 5*s**3/42 + 3*s**2/14 + 21*s. Determine f, given that g(f) = 0.
-3, -1, 1
Let s(m) be the first derivative of -m**6/105 - m**5/70 + m**4/42 + m**3/21 - 2*m + 8. Let a(z) be the first derivative of s(z). Factor a(x).
-2*x*(x - 1)*(x + 1)**2/7
Let s(b) be the third derivative of -b**7/420 - b**6/60 + b**5/120 + b**4/12 + 24*b**2. Let s(r) = 0. Calculate r.
-4, -1, 0, 1
Let r(m) be the first derivative of m**3/6 - 1. Factor r(w).
w**2/2
Let v(j) be the first derivative of -j**6/10 + 6*j**5/25 - 3*j**4/20 - 10. Factor v(g).
-3*g**3*(g - 1)**2/5
Let p(s) be the first derivative of s**3/2 - 9*s**2/4 + 3*s - 1. Suppose p(n) = 0. Calculate n.
1, 2
Let c be (-2 - -2) + (-2)/2. Let h = c + 2. Factor 2*x**4 + 2*x**2 + 4*x**3 + h - 1.
2*x**2*(x + 1)**2
Let a(l) be the first derivative of 2 + 1/2*l**3 - 3/4*l**4 + 3/10*l**5 + 0*l + 0*l**2. Find u such that a(u) = 0.
0, 1
Suppose 3*w + 17 = 5*n, -1 = 4*n - 3*w - 14. Solve 1/2*d**3 - 1/2*d + 0 + 7/4*d**2 - 7/4*d**n = 0 for d.
-1, 0, 2/7, 1
Let p be (5 - (6 - 3))*4/24. Factor -2/3*k + k**2 - p*k**3 + 0.
-k*(k - 2)*(k - 1)/3
Factor 33 - 45*m**2 + 130 - 240*m - 483.
-5*(3*m + 8)**2
Let u = -6 + 10. Factor -10*c**2 - c**3 - 4*c - 4*c**4 - 5*c**u - 7*c**3 + 7*c**4.
-2*c*(c + 1)**2*(c + 2)
Let b(i) = -8 - i + 3 + 1. Let f be b(-5). Let y(v) = v**2 + v - 1. Let m(j) = -j**2 - j - 1. Let g(c) = f*y(c) - m(c). Factor g(t).
2*t*(t + 1)
Let p(f) be the third derivative of 0 + 1/135*f**6 + 0*f**3 + 0*f + 1/54*f**4 + 1/945*f**7 + 2*f**2 + 1/54*f**5. Factor p(h).
2*h*(h + 1)**2*(h + 2)/9
Let w(l) = -l**2 - 12*l - 11. Let i be w(-11). Factor 0 + i*k**2 - 3/4*k**3 + 3/4*k.
-3*k*(k - 1)*(k + 1)/4
Let h(b) = -4*b**3 - 20*b**2 - 11*b + 4. Let p(f) = f**2. Let w(m) = -h(m) - p(m). Factor w(t).
(t + 1)*(t + 4)*(4*t - 1)
Let d be -3 - ((-8)/(-1))/(-1). Suppose -m = -3*y - 4*m + 9, -d*m - 9 = -3*y. Determine g so that 0 - g**2 + 1/2*g**y + 1/2*g = 0.
0, 1
Let a be -4*(0 - 2/(-4)). Let u(g) = -4*g**2 - 8*g - 10. Let p(c) = 5*c**2 + 8*c + 11. Let j(n) = a*p(n) - 3*u(n). Factor j(v).
2*(v + 2)**2
Let h(d) be the first derivative of -3*d**5/5 - 10*d**4/3 - 6*d**3 - 4*d**2 + d + 10. Let i(k) be the first derivative of h(k). Factor i(z).
-4*(z + 1)*(z + 2)*(3*z + 1)
Let m = 34 - 34. Determine o so that -2/5*o**3 + m + 0*o + 4/5*o**2 = 0.
0, 2
Suppose -3*c + 8*c = 0. Factor -2*a**2 - a**3 + c*a**2 - 2*a**4 - 3*a**3.
-2*a**2*(a + 1)**2
Suppose -2*g = g. Suppose g = 7*h - 2*h. Suppose 4*r - 2*r**2 - 5*r**2 + h*r**2 - 2*r = 0. Calculate r.
0, 2/7
Let k = -149 - -1045/7. What is o in 0 + k*o - 3/7*o**2 - 5/7*o**3 = 0?
-1, 0, 2/5
Let h(n) = n**2 + 1. Let s(m) = 3*m**2 + 2. Suppose -4*k = -2*k + 8. Let a(v) = k*s(v) + 10*h(v). Factor a(j).
-2*(j - 1)*(j + 1)
Factor -4/3*c**2 + 0*c + 0 + 8/3*c**3 + c**4 - 3*c**5.
-c**2*(c + 1)*(3*c - 2)**2/3
Let v(u) = 16*u**2 - 27*u - 7. Let j(f) = -2 - 83*f**2 - 9*f + 0*f + 88*f**2. Let d(n) = -7*j(n) + 2*v(n). Factor d(c).
-3*c*(c - 3)
Let x(p) be the second derivative of p**4/48 + p**3/6 + p**2/2 + 7*p. What is o in x(o) = 0?
-2
Let f(n) be the second derivative of n**4/60 + n**3/30 - 13*n. Suppose f(i) = 0. What is i?
-1, 0
Let w = -1 + 1. Let o(l) be the third derivative of -1/15*l**3 + 0*l**4 + l**2 + w*l + 1/150*l**5 + 0. Suppose o(d) = 0. Calculate d.
-1, 1
Let q(s) be the third derivative of s**7/840 + s**6/480 - 10*s**2 + 3. Factor q(j).
j**3*(j + 1)/4
Let c be 4/(-6)*(3 - 0). Let u = -2 - c. Solve -2*j**5 + u*j**3 + 2*j**3 - 2*j**5 + 2*j + 8*j**2 - 1 - 7*j**4 = 0 for j.
-1, 1/4, 1
Let w(b) = -b - 7 + 8 - 3*b - b**2 + 6. Let c be w(-5). Determine u, given that -6*u - 4*u**c + 0*u**3 - 2*u**3 + 4*u + 0*u = 0.
-1, 0
Let -5*r**2 + 4*r**2 + 8*r + 4 + 5*r**2 = 0. Calculate r.
-1
Let t(k) = -k**2 - 5*k + 4. Let w be t(-5). Let u be 4/(-14) - w/(-14). Factor b + u + 3/2*b**2.
b*(3*b + 2)/2
Suppose 2*h - 10 = 0, -2*l - 5*h + 45 = 2*l. Let q(x) = -x**3 + 6*x**2 - 4*x - 2. Let y be q(l). Let -a**y + a - a = 0. Calculate a.
0
Let g(m) = m + 9. Let h be g(-9). Suppose 2*w - 5*w + 15 = h. Factor 0*z**w + 2*z**5 - z**3 - z**3.
2*z**3*(z - 1)*(z + 1)
Let c(a) be the first derivative of -a**6/40 + 3*a**2/2 - 3. Let m(p) be the second derivative of c(p). Determine h so that m(h) = 0.
0
Let d = 36 + -36. Factor 1/3*u**2 - 1/3*u + d.
u*(u - 1)/3
Let f be (6/21)/(3/21). Factor 3*w**f - 4*w + 0*w**2 - 2 - 2*w**2 - 3*w**2.
-2*(w + 1)**2
Let z(q) be the first derivative of -4*q**5/35 - 6*q**4/7 + 27. Suppose z(x) = 0. What is x?
-6, 0
Let t = 10 + -6. Factor s + t + 4*s**4 + 0*s + 5*s**2 + 8*s**3 - 4.
s*(s + 1)*(2*s + 1)**2
Suppose 7 = -2*g + 21. Let r(m) be the third derivative of 0*m + 0 + 0*m**3 + 2*m**2 + 1/180*m**6 + 0*m**4 + 0*m**5 - 1/315*m**g. Factor r(k).
-2*k**3*(k - 1)/3
Let m be 219/2*(-4)/(-30). Let r = 15 - m. Factor -2/5*b**2 + 2/5*b**4 + 0 + 0*b + r*b**5 - 2/5*b**3.
2*b**2*(b - 1)*(b + 1)**2/5
Suppose -3*g = 2*g + 2*o - 9, 0 = -4*g - 2*o + 8. Let h = 2 + g. Determine c so that 1/3 - 1/3*c**2 + 4/3*c - 4/3*c**h = 0.
-1, -1/4, 1
Let n(r) = r**2 + 3*r - 2. Let a be n(-5). Let l be (a/16)/(6/8). Determine q, given that l*q**2 + 0 + 0*q = 0.
0
Let t(w) = -w**3 - w**2 + 5*w + 8. Let d be t(-2). Factor 2/7*a**3 + 0 + 0*a + 2/7*a**d.
2*a**2*(a + 1)/7
Let t(y) = -y**3 - 8*y**2 + 10*y + 11. Let v b