(p) - 6*y(p). Let r be n(-7). Factor 0*j**3 - 3*j**3 + r*j**2 - 2*j - j.
-3*j*(j - 1)**2
Solve 87*v**2 - 9*v - 8 - 5*v - 91*v**2 + 2*v**3 = 0 for v.
-1, 4
Let s be (9/(-12))/(3/(-12)). Determine w so that 0 - 4*w**2 + 3*w + 0 - s*w**3 + 3*w**4 + w**2 = 0.
-1, 0, 1
Let g = -157 - -788/5. Let d = 14/15 - g. Factor 0*y - 1/3*y**5 + d*y**4 + 1/3*y**3 - 1/3*y**2 + 0.
-y**2*(y - 1)**2*(y + 1)/3
Let m(b) = 5*b**2 - 11*b + 2. Let u(i) = 6*i**2 - 12*i + 3. Let o(y) = 3*m(y) - 2*u(y). Suppose o(l) = 0. What is l?
0, 3
Let s be (6/9)/((-8)/(-132)). Let t(z) = 14*z**2 - 12*z - 11. Let b(l) = -5*l**2 + 4*l + 4. Let k(o) = s*b(o) + 4*t(o). Factor k(r).
r*(r - 4)
Factor -5/6*o**4 + 25/6*o**2 + 0 - 5*o + 5/3*o**3.
-5*o*(o - 3)*(o - 1)*(o + 2)/6
Factor 9/2*v + 3 - 3/2*v**3 + 0*v**2.
-3*(v - 2)*(v + 1)**2/2
Factor 228*x**3 + 16*x**5 + 8*x**4 + 4*x**2 - 36*x**4 - 220*x**3.
4*x**2*(x - 1)**2*(4*x + 1)
Let a(i) be the second derivative of 7*i**4/18 - i**3/9 + i. Find f, given that a(f) = 0.
0, 1/7
Let y(b) = b**3 - 8*b**2 + 18*b - 6. Let v be y(4). Factor -1 - 1/2*k + 1/2*k**v.
(k - 2)*(k + 1)/2
Let z(l) be the second derivative of l**7/84 + l**6/30 + l**5/40 - 15*l. Factor z(w).
w**3*(w + 1)**2/2
Let g(i) be the first derivative of -i**5/20 + 5*i**4/48 - i**3/24 + i - 2. Let y(n) be the first derivative of g(n). What is t in y(t) = 0?
0, 1/4, 1
Let c(n) be the first derivative of 2*n**3/33 - 4*n**2/11 + 6*n/11 - 11. Factor c(r).
2*(r - 3)*(r - 1)/11
Let y(c) = -3. Let h(l) = -4 + 5 + l**2 - 4*l + 5*l. Let b(k) = h(k) + y(k). Suppose b(d) = 0. Calculate d.
-2, 1
Let w = 4 + -4. Let r = 3 + w. Factor -1/4*k**5 - 1/4*k**4 + 1/2*k**2 - 1/4*k + 1/2*k**r - 1/4.
-(k - 1)**2*(k + 1)**3/4
Let v(b) be the second derivative of -b**6/50 - 3*b**5/100 + 3*b**4/10 + 2*b**3/5 - 12*b**2/5 - 6*b. Determine o, given that v(o) = 0.
-2, 1, 2
Let p be -5 + 3 - (2 + -4). Factor 0*l + p + 2/7*l**2.
2*l**2/7
Let p(k) = k**3 + k**2 - k - 1. Let g(h) = 3*h**4 + 14*h**3 + 23*h**2 + 4*h + 4. Let r(a) = -g(a) - 4*p(a). Factor r(n).
-3*n**2*(n + 3)**2
Suppose 0 + 5/6*h**3 - 5/6*h + 1/6*h**2 - 1/6*h**4 = 0. What is h?
-1, 0, 1, 5
Factor -2/5*j**3 - 126/5*j - 6*j**2 - 98/5.
-2*(j + 1)*(j + 7)**2/5
Let m be 9/6*(-20)/(-6). Let s be (108/(-126))/(m/(-7)). Solve -3/5*n - 6/5*n**2 + 3/5*n**5 + s*n**4 + 0*n**3 + 0 = 0 for n.
-1, 0, 1
Factor 3/2*u + 15/4*u**4 + 21/4*u**2 + 27/4*u**3 + 3/4*u**5 + 0.
3*u*(u + 1)**3*(u + 2)/4
Let m(l) = 4*l**2 + 15*l + 0*l**2 + l**3 - 7*l**3 - 6 - l**2. Let q(y) = -y**2. Let k(t) = -m(t) - 6*q(t). Factor k(i).
3*(i - 1)*(i + 2)*(2*i - 1)
Let o(t) be the first derivative of 3*t**4/4 - 6*t**3 + 18*t**2 - 24*t - 32. Let o(l) = 0. What is l?
2
Let f = -100 - -140. Let w = f - 119/3. Factor 0 - 1/3*v**5 + 1/3*v**4 - w*v**2 + 1/3*v**3 + 0*v.
-v**2*(v - 1)**2*(v + 1)/3
Solve -2*h**4 + 2*h**2 - 2*h + 13 + 2*h**3 - 8 - 5 = 0 for h.
-1, 0, 1
Let p(c) = -c**3 + c**2 + 1. Let f(n) = 5*n**3 - 9*n**2 - 2*n - 6. Let v(r) = -f(r) - 6*p(r). Factor v(d).
d*(d + 1)*(d + 2)
Let p(z) be the first derivative of -z**9/2520 + z**8/840 - z**7/1050 - z**3 - 1. Let w(v) be the third derivative of p(v). Find s such that w(s) = 0.
0, 2/3, 1
Let p(y) = -y**2 - 5*y. Let u be p(-4). Let w be 15/10*u/27. What is i in -2/9*i**3 + 0 + w*i**2 + 0*i = 0?
0, 1
Let l(b) = 21*b**2 + 11*b. Let q(n) = -n**3 - 3*n**2 + n - 2. Let m be q(-3). Let s(t) = -21*t**2 - 12*t. Let v(h) = m*s(h) - 6*l(h). Factor v(a).
-3*a*(7*a + 2)
Let i(r) be the first derivative of 2*r**5/25 + r**4/2 + 6*r**3/5 + 7*r**2/5 + 4*r/5 - 10. Factor i(c).
2*(c + 1)**3*(c + 2)/5
Suppose -k = 2*k - 15. Determine u, given that 0*u**2 - u**4 - u - k*u**2 + u**3 + 6*u**2 = 0.
-1, 0, 1
Let x(q) be the first derivative of 1/6*q**4 + 8 + 2/9*q**3 - 1/3*q**2 - 2/15*q**5 + 0*q. Find r, given that x(r) = 0.
-1, 0, 1
Let i be 4/16 - (-25)/(-4). Let g = i + 10. Factor -6*a**3 + 3*a**4 - 11*a**g - 2*a**2 + 4*a**2.
-2*a**2*(a + 1)*(4*a - 1)
Let q(v) be the second derivative of v**7/63 + v**6/45 - v**5/30 - v**4/18 + 3*v. Factor q(p).
2*p**2*(p - 1)*(p + 1)**2/3
Let 1/2*d + 6*d**4 + 0 - 1/2*d**2 - 4*d**3 = 0. What is d?
-1/3, 0, 1/2
Let -170*g**3 - 16 - 11*g**2 + 25*g + 15*g + 33*g**2 - 100*g**4 + 62*g**2 = 0. What is g?
-2, -1/2, 2/5
Let u = 605 + -25409/42. Let k(j) be the second derivative of -j + u*j**4 + 1/7*j**2 - 2/21*j**3 + 0. Suppose k(o) = 0. Calculate o.
1
Let f be (-87)/(-15) + 2/10. Factor -8 + f - 4*o**2 - 3 - 3 - 12*o.
-4*(o + 1)*(o + 2)
Let v(q) be the third derivative of 5*q**2 - 1/20*q**4 - 1/300*q**5 - 3/10*q**3 + 0 + 0*q. Factor v(g).
-(g + 3)**2/5
Let k(c) be the third derivative of -c**6/40 + c**5/20 + 19*c**2. Factor k(a).
-3*a**2*(a - 1)
Let n(s) = s + 5. Let r be -2 - -2 - (1 - -4). Let x be n(r). Suppose -2/3*q**2 + 2/3 + x*q = 0. Calculate q.
-1, 1
Let q(z) = -z**3 + 7*z**2 - 6*z + 45. Let f be q(7). What is w in 0 + 3/2*w**f - w + 1/2*w**2 = 0?
-1, 0, 2/3
Let u be -441*(42/12 + -4). Let -8 - 88*j - 81/2*j**5 - 416*j**3 - u*j**4 - 316*j**2 = 0. Calculate j.
-2, -1, -2/9
Suppose -4*f + 1 = 3*w, 5*w - 6*f = -3*f + 21. Determine i so that 2 + w*i - 10*i + i**2 + 3*i + i = 0.
1, 2
Let y = 111 + -107. Factor 2/9*p**2 + 0 + 2/9*p**y + 0*p - 4/9*p**3.
2*p**2*(p - 1)**2/9
Let x = -55 - -77. Let g = x - 18. Determine q so that -3/4*q + 3/4*q**3 + 1/2 - 1/4*q**g - 1/4*q**2 = 0.
-1, 1, 2
Determine g so that -12/5*g**3 + 0 - 4/5*g**4 + 0*g - 8/5*g**2 = 0.
-2, -1, 0
Let k(l) be the second derivative of 0*l**2 - 1/80*l**5 + 0*l**3 + 0 - 1/24*l**4 - l. Suppose k(f) = 0. Calculate f.
-2, 0
Suppose o = -4*a + 3, 5*a = -0*a - 2*o. Factor 10/9*g - 4/9 + 4*g**a.
2*(2*g + 1)*(9*g - 2)/9
Let u be (-28)/(-49)*(-14)/(-4). Solve -u*a**2 - 2/3 + 2*a + 2/3*a**3 = 0.
1
Let c be 69*(-1)/(-28) + 68/238. Determine h so that -h - 9/4*h**2 + 1 - 3/4*h**5 + 1/4*h**4 + c*h**3 = 0.
-2, -2/3, 1
Let f(t) be the second derivative of -10*t**7/147 - 4*t**6/105 + t**5/7 + 2*t**4/21 + 4*t. Determine y so that f(y) = 0.
-1, -2/5, 0, 1
Determine u, given that 12*u**2 - 14*u**2 + 7*u**2 + 20*u**3 + 11*u**2 = 0.
-4/5, 0
Let h(f) be the third derivative of 9*f**6/40 + 3*f**5/5 + f**4/2 + 6*f**2. Solve h(v) = 0 for v.
-2/3, 0
Let j be (-33)/55 - (-3)/5. Let s(w) be the third derivative of j*w + 1/6*w**3 + 1/12*w**4 + 0 - w**2 + 1/60*w**5. Factor s(d).
(d + 1)**2
Let j be 15 - (3/3 + -1). Suppose 0 + j = 5*c. Factor -q - q**2 - q + c*q**2.
2*q*(q - 1)
Let t(i) be the third derivative of i**8/2520 - i**7/1890 + i**3 + 5*i**2. Let o(s) be the first derivative of t(s). Factor o(x).
2*x**3*(3*x - 2)/9
Let x(r) be the second derivative of -1/60*r**5 + 0 + 0*r**2 + 1/9*r**3 + 1/36*r**4 + r. Factor x(o).
-o*(o - 2)*(o + 1)/3
Let b(k) be the third derivative of -k**5/15 + 2*k**4/3 - 8*k**3/3 + k**2. Factor b(g).
-4*(g - 2)**2
Let a be (-3)/15 + (-39)/(-15). Let j = 70 + -332/5. Factor -j - a*l - 2/5*l**2.
-2*(l + 3)**2/5
Suppose 0*w - 4*w = -3*m + 56, 3*m = w + 59. Suppose 0 = -0*s - 4*s + m. Factor -2*r**4 - r**5 - 2*r**s + 5*r**5.
2*r**4*(r - 1)
Suppose -p = 3 - 4. Suppose -18*g + 3*g**2 + 1 - p + 15*g = 0. What is g?
0, 1
Let w be 1/((2*-2)/(-44)). What is c in -c - 14 + 4 + c**3 + w - c**2 = 0?
-1, 1
Let m be ((-10)/(-45))/1 + 6/(-27). Let m + 1/4*u - 1/4*u**2 = 0. Calculate u.
0, 1
Suppose -3*i + 3*q + q + 9 = 0, 5*q = -15. Let n(k) = -3*k + 1. Let u be n(i). Solve 0 + 0*s**3 + 0*s + 0*s**2 + 2/7*s**5 + 4/7*s**u = 0.
-2, 0
Let g(s) = 5*s**3 + s**2 - 2*s + 1. Let x be g(1). Let y(l) be the first derivative of -1/6*l**2 - l**4 - 1/6*l**6 - 2/3*l**3 - 2/3*l**x + 1 + 0*l. Factor y(t).
-t*(t + 1)**3*(3*t + 1)/3
Let p be (-1)/((7 + -6)*-1). Solve -p - c - 1/4*c**2 = 0.
-2
Let j be 4 + -1 + 10/(-4) + 0. Factor 0 - j*h**2 + 3/2*h.
-h*(h - 3)/2
Let c = -1/11 + 13/22. Determine i, given that 0*i - 5/2*i**3 + 0 - 2*i**4 - c*i**2 = 0.
-1, -1/4, 0
Factor -121 + 121 + 3*s**2 - s**3 - 2*s.
-s*(s - 2)*(s - 1)
Suppose 0*v + 7 = 5*z - 3*v, 3*v - 11 = -4*z. Let h = -54/7 - -8. Factor h*i**z + 2/7 - 4/7*i.
2*(i - 1)**2/7
Let a(l) = 4*l**3 - 10*l**2 + 7*l - 7. Let x(s) be the second derivative of s**5/20 - s**4/4 + s**3/3 - s**2 - s. Let q(r) = 2*a(r) - 7*x(r). Factor q(n).
n**2*(n + 1)
Let n(y) be the first derivative of -y**4/16 - y**3/6 + 3*y**2/8 - 40. Factor n(f).
-f*(f - 1)*(f + 3)/4
Let k(g) 