-5*i**a + 2*i**4 + 4*i**3 + i**2 - i**4 - i**3.
i**2*(i - 1)**2
Let a = -146/3 + 49. Solve -a*d + 0 + 1/3*d**2 = 0 for d.
0, 1
Let i(r) be the third derivative of -r**5/30 - 13*r**4/48 - r**3/4 - 27*r**2. Factor i(d).
-(d + 3)*(4*d + 1)/2
Let v = -4438 - -13483/3. Let u = 57 - v. Solve 2/3*h**2 - u*h**3 + 2/3*h - 2/3 = 0 for h.
-1, 1
Find q such that 3*q**2 - 6*q - 5*q**2 + 8 - 12 = 0.
-2, -1
Let d(p) = -8*p**4 + 8*p**3 + 13*p**2 + 13*p + 13. Let i(k) = 2*k**4 - 2*k**3 - 3*k**2 - 3*k - 3. Let a(f) = 6*d(f) + 26*i(f). Factor a(o).
4*o**3*(o - 1)
Let b(g) = 5*g**2 - 2*g + 2. Let q(r) = 4*r**2 - r + 1. Suppose 2*w = -2*w + 24. Let d = -13 - -8. Let z(u) = d*b(u) + w*q(u). Factor z(t).
-(t - 2)**2
Let 8/7 + 0*i + 6/7*i**4 + 2/7*i**3 - 2*i**2 - 2/7*i**5 = 0. Calculate i.
-1, 1, 2
Let j(u) = -u**5 + 6*u**4 + 3*u**3 - 4*u**2 - 6. Let l(a) = a**4 - a**2 - 1. Let o(y) = -j(y) + 6*l(y). Factor o(b).
b**2*(b - 2)*(b + 1)**2
Let x(s) be the third derivative of -s**8/1008 - 2*s**7/315 - s**6/60 - s**5/45 - s**4/72 + s**2. What is o in x(o) = 0?
-1, 0
Let u(m) = -m**4 + m**3 + m**2 - m - 1. Let z(a) = -4*a**4 - 11*a**3 - 2*a**2 + 5*a + 5. Let n(o) = -5*u(o) - z(o). Suppose n(b) = 0. What is b?
-1, 0, 1/3
Factor -1/3*b**5 + 0 + 0*b**2 + b**4 + 0*b - 2/3*b**3.
-b**3*(b - 2)*(b - 1)/3
Suppose -a - 5*p + 164 = 0, 2*a + 2*p - 346 = p. Let g = a - 1216/7. Factor g*b - 2/7*b**3 - 2/7*b**4 + 0 + 2/7*b**2.
-2*b*(b - 1)*(b + 1)**2/7
Factor -3*u**2 + 11*u**2 - 3*u**2.
5*u**2
Let y(b) be the second derivative of 5*b**4/28 - 11*b**3/7 + 12*b**2/7 - b. Factor y(o).
3*(o - 4)*(5*o - 2)/7
Let r(s) be the first derivative of 7 + 1/14*s**4 - 2/7*s**2 + 2/21*s**3 + 0*s. Let r(d) = 0. Calculate d.
-2, 0, 1
Let i = -5 + 6. Solve 2*l - i - 2*l**2 + 2 + 3 = 0.
-1, 2
Let o(s) be the second derivative of 0*s**3 + 0*s**2 + 1/6*s**4 + 0 - 3*s + 1/10*s**5. Factor o(b).
2*b**2*(b + 1)
Let o(u) be the third derivative of -u**6/1260 - u**5/140 - u**4/42 - u**3/6 + 6*u**2. Let w(n) be the first derivative of o(n). Factor w(i).
-2*(i + 1)*(i + 2)/7
Let l(c) be the second derivative of -2/9*c**3 + 1/18*c**4 + 4*c + 0 + 0*c**2. Suppose l(z) = 0. Calculate z.
0, 2
Let a be (-5)/8*474/(-30). Let g = a + -347/40. Find z, given that 8/5*z**3 - 4/5*z**2 - g*z**5 + 0 - 2/5*z + 4/5*z**4 = 0.
-1, -1/3, 0, 1
Factor 0 + 0*x - 1/4*x**4 + 1/2*x**2 - 1/4*x**3.
-x**2*(x - 1)*(x + 2)/4
Suppose 8*l - 36 = 5*l. Factor 6*j**4 + 15*j**3 - 4 + j**3 + l*j**2 - 2 + 4.
2*(j + 1)**3*(3*j - 1)
Let x be (-147)/(-35) - 4/(-5). Solve -3*h**5 + 0*h**3 - 4*h - 3*h**2 + h**x + 6*h**3 + 2*h**4 + h**2 = 0.
-1, 0, 1, 2
Let d(h) be the second derivative of h**6/1260 + h**5/420 - 7*h**3/6 - 2*h. Let j(f) be the second derivative of d(f). Factor j(p).
2*p*(p + 1)/7
Suppose 0*b + 0 - 3/7*b**3 - 6/7*b**2 = 0. Calculate b.
-2, 0
Let d(a) be the second derivative of a**6/90 + a**5/15 + a**4/6 + 2*a**3/9 + a**2/6 - 16*a. Factor d(q).
(q + 1)**4/3
Let a(n) be the third derivative of n**7/5040 - n**6/2160 - n**3 - 10*n**2. Let t(f) be the first derivative of a(f). Factor t(l).
l**2*(l - 1)/6
Let q be ((-70)/(-175))/(1/5). Factor 8/5*g + 1/5*g**3 - g**q - 4/5.
(g - 2)**2*(g - 1)/5
Determine m, given that 0 + 3/2*m**3 + 1/2*m**4 + 1/2*m + 3/2*m**2 = 0.
-1, 0
Let y(s) be the first derivative of s**4/7 - 4*s**3/7 + 10. Factor y(c).
4*c**2*(c - 3)/7
Let p(i) = i**5 - 1. Let j(q) = -6*q**5 + 44*q**4 - 56*q**3 + 24*q**2 + 4*q - 10. Let y(s) = j(s) - 6*p(s). Let y(x) = 0. Calculate x.
-1/3, 1
Factor 4/7*m**3 + 0 + 4/7*m + 8/7*m**2.
4*m*(m + 1)**2/7
Let n = -438 - -440. Factor 4/5*k + 2/5*k**n + 2/5.
2*(k + 1)**2/5
Let k(f) be the third derivative of f**8/1596 + f**7/665 - f**6/570 + f**2 + 2. Determine q so that k(q) = 0.
-2, 0, 1/2
Let v(q) be the first derivative of -q**6/60 - 2*q**5/25 - q**4/8 - q**3/15 + 16. Determine n, given that v(n) = 0.
-2, -1, 0
Let c(l) be the first derivative of l**3/3 + l**2 + l - 5. Suppose c(y) = 0. What is y?
-1
Suppose 0 = 5*j - 5*c - 5, 2*j - c - 4 = -0*c. Suppose -2*z - j*z = -10. Find b, given that -25/2*b**2 - 10*b - z = 0.
-2/5
Suppose -18 + 3 = -5*r. Solve j - 2*j - 2*j**r + j = 0.
0
Let z(h) be the second derivative of 1/8*h**4 - h + 0 + h**3 + 9/4*h**2. Factor z(i).
3*(i + 1)*(i + 3)/2
Determine c so that 11*c**3 - 12*c**3 + 3*c - 2 + 0*c = 0.
-2, 1
Suppose 4 = -4*p + 3*p. Let q be (-9 + 9)*2/p. Factor -2/5*r - 2/5*r**3 + 4/5*r**2 + q.
-2*r*(r - 1)**2/5
Suppose 9/2 - 3/2*f**2 + 3*f = 0. Calculate f.
-1, 3
Let v(i) be the first derivative of 7*i**6/15 - 32*i**5/25 - 8*i**4 - 148*i**3/15 - 7*i**2/5 + 4*i + 15. Let v(f) = 0. What is f?
-1, 2/7, 5
Let g(w) be the first derivative of -w**5/5 + 6*w + 6. Let y(t) be the first derivative of g(t). Find p such that y(p) = 0.
0
Suppose -6*j = -3*j. Let u(b) = b**2 - b + 4. Let s be u(j). Solve -22/3*q**3 - 4/9 - 2*q**s - 10/3*q - 74/9*q**2 = 0 for q.
-2, -1, -1/3
What is l in 36/13*l**3 + 50/13*l + 72/13*l**2 + 12/13 - 6/13*l**5 - 4/13*l**4 = 0?
-1, -2/3, 3
Suppose 7 = -5*t + g + 32, 5*t = -2*g + 10. Suppose -43/2*w**3 - 31*w**2 - 10*w + t - 9/2*w**4 = 0. What is w?
-2, -1, 2/9
Factor 1/5*f**4 + 8/5*f**3 - 27/5 + 18/5*f**2 + 0*f.
(f - 1)*(f + 3)**3/5
Suppose -7*a + 133 - 98 = 0. Factor 0*q - 6/7*q**3 - 6/7*q**4 + 0 - 2/7*q**a - 2/7*q**2.
-2*q**2*(q + 1)**3/7
Find t such that -4*t**4 - 9*t**3 + 0*t**3 + 8*t + 1 + 3 + t**3 = 0.
-1, 1
Let q(j) be the second derivative of -j**5/240 + j**3/24 - 2*j**2 - 2*j. Let x(p) be the first derivative of q(p). Determine u so that x(u) = 0.
-1, 1
Let l(d) be the first derivative of d**5/5 - d**3/3 - 7. Factor l(k).
k**2*(k - 1)*(k + 1)
Let o(m) be the third derivative of 0 + 1/6*m**3 + 1/30*m**5 + 0*m - 2*m**2 - 5/48*m**4 - 1/240*m**6. Factor o(z).
-(z - 2)*(z - 1)**2/2
Let x = -141 - -706/5. Let f(o) be the second derivative of -o + 1/15*o**4 + 0 - x*o**3 - 2/5*o**2. Suppose f(y) = 0. What is y?
-1/2, 2
Suppose -15/8*b + 3/4*b**2 + 3/2*b**3 + 3/4 + 3/8*b**5 - 3/2*b**4 = 0. Calculate b.
-1, 1, 2
Determine v, given that 3*v**3 + 25*v**2 - 32*v - 7*v**3 - 3*v**2 + 16 - 2*v**2 = 0.
1, 2
Let d be 4/(-10) + 3 + (-14)/7. Factor -1/5*b**2 + 0 - 2/5*b + d*b**3.
b*(b - 1)*(3*b + 2)/5
Let a(f) = -f**5 + 0*f**3 + f**3 - 1 + 0*f**5 + f + 0*f. Let y(h) = 4*h**5 - h**4 - 4*h**3 + h**2 - 7*h + 7. Let g(l) = 14*a(l) + 2*y(l). Solve g(n) = 0 for n.
-1, -1/3, 0, 1
Let o(n) be the first derivative of 0*n + 1/2*n**4 + 4 - n**2 + 0*n**3. What is i in o(i) = 0?
-1, 0, 1
Factor 3/2*a**3 - 3/4*a + 0*a**4 + 0 + 0*a**2 - 3/4*a**5.
-3*a*(a - 1)**2*(a + 1)**2/4
Let g = 29 + -21. Suppose -s + g = 3*s, 5*w + s - 22 = 0. Factor -3/5*h - 3/5*h**w + 0 - 9/5*h**3 - 9/5*h**2.
-3*h*(h + 1)**3/5
Suppose -28 = -2*y - 0*y. Let c be (-72)/(-105) + (-4)/y. Find n, given that 2/5*n**2 + 4/5*n + c = 0.
-1
Let x(l) be the third derivative of 1/672*l**8 - 1/210*l**7 + 0*l**3 + 0 + 1/60*l**5 + 0*l - 1/48*l**4 + 5*l**2 + 0*l**6. Factor x(t).
t*(t - 1)**3*(t + 1)/2
Suppose -c + 2*n = -0*c + 146, c + 131 = -n. Let a be 0 + -1 - c/40. What is m in 18/5 + 2/5*m**2 - a*m = 0?
3
Factor 179*v + 288*v**3 - 286*v**3 + 307*v + 1458 + 54*v**2.
2*(v + 9)**3
Let m be (-1)/(1/(-6)*2). Suppose -3 = -3*j - 2*j + 3*v, v = -m*j + 13. Factor 1/3*z**j - 1/3*z + 0 + 1/3*z**2 - 1/3*z**4.
-z*(z - 1)**2*(z + 1)/3
Find r such that -2*r**2 + 2*r**2 + 4*r**2 + 4*r**3 = 0.
-1, 0
Factor -1/2*p**2 + 3/2 + p.
-(p - 3)*(p + 1)/2
Let u(v) be the second derivative of -1/6*v**4 - 3*v + v**2 - 1/20*v**5 + 0 + 1/6*v**3. Factor u(m).
-(m - 1)*(m + 1)*(m + 2)
Factor 20*g**3 - 10*g**3 - 4*g**3 + 24*g + 16 - 4*g**3 + 12*g**2.
2*(g + 2)**3
Let t be 183/(-9) - (2 - 0). Let h = 23 + t. Factor -2/3*o**3 + 0 + 0*o**2 + h*o.
-2*o*(o - 1)*(o + 1)/3
Suppose -11*y - 3*y = 0. Let h(t) be the third derivative of 0*t**3 - 1/60*t**4 + 0*t**6 + y + 1/1050*t**7 + 0*t - 1/100*t**5 + 2*t**2. Factor h(o).
o*(o - 2)*(o + 1)**2/5
Suppose 24 = 9*b + 6. Let a(y) be the first derivative of 1/10*y**5 + 0*y - 1/8*y**4 + 1/4*y**2 - 1/6*y**3 - b. Factor a(u).
u*(u - 1)**2*(u + 1)/2
Let x(v) be the first derivative of v**6/18 - 7*v**5/15 + v**4/2 + 6*v**3 - 45*v**2/2 + 27*v - 47. Factor x(j).
(j - 3)**3*(j - 1)*(j + 3)/3
Let j(u) be the third derivative of -u**5/20 - u**4/4 - u**3/2 - 8*u**2. Determine h, given that j(h) = 0.
-1
Let p(q