*(r + 2)*(2*r - 1)
Let k be (-2)/(-2)*6/(-164). Let w = k - -185/574. Determine t, given that 2/7*t**2 + 2/7*t**3 - w - 2/7*t = 0.
-1, 1
Let r(o) be the third derivative of o**6/216 - o**5/9 + 10*o**4/9 - o**3/6 - 2*o**2. Let w(g) be the first derivative of r(g). Solve w(v) = 0 for v.
4
Let p = 1 - -5. Factor -4 + 28*c - 2 - p*c - 20*c**2.
-2*(2*c - 1)*(5*c - 3)
Let i(v) = 3*v**3 + 5*v**2 - 8*v - 5. Let d(t) be the first derivative of 3*t**4/4 + 2*t**3 - 9*t**2/2 - 6*t + 5. Let x(n) = 5*d(n) - 6*i(n). Factor x(u).
-3*u*(u - 1)*(u + 1)
Let k(j) be the first derivative of -3 + 0*j + 1/2*j**2 + 1/6*j**3. Suppose k(l) = 0. What is l?
-2, 0
Let z(y) = -y**2 - y + 1. Let q(d) = d**3 + 2*d**2 + 3*d - 2. Let l(r) = q(r) + 3*z(r). Let i(m) = 19*m**3 - 9*m**2 + 5. Let f(g) = -i(g) + 5*l(g). Factor f(b).
-2*b**2*(7*b - 2)
Suppose 0*d + 3/7*d**3 + 9/7*d**2 + 0 = 0. What is d?
-3, 0
Let d(n) be the third derivative of -n**6/40 + n**5/60 - n**4/12 - n**3/3 - 3*n**2. Let k(b) = b**2 + b + 1. Let o(g) = d(g) + 2*k(g). Factor o(i).
-3*i**2*(i - 1)
Let a = 387 + -387. Factor 0 + a*c + 2/7*c**3 + 0*c**2.
2*c**3/7
Let p = 179 + -1609/9. Suppose -7*m = -5*m. Factor 4/9*x**3 - p + m*x**2 + 2/9*x**4 - 4/9*x.
2*(x - 1)*(x + 1)**3/9
Let x(k) be the first derivative of k**5/2 + 7*k**4/6 + 2*k**3/3 - 3*k + 3. Let o(y) be the first derivative of x(y). What is m in o(m) = 0?
-1, -2/5, 0
Factor -5*n**3 + 0*n**3 + 2*n**5 - 5*n**2 - 125*n**4 + 3*n**5 + 130*n**4.
5*n**2*(n - 1)*(n + 1)**2
Let -1/6 + 0*a + 1/3*a**3 + 1/2*a**2 = 0. What is a?
-1, 1/2
Let s(k) be the second derivative of -k**5/4 + 5*k**4/12 + 5*k**3/3 - 10*k. Determine j so that s(j) = 0.
-1, 0, 2
Let v(d) be the third derivative of d**7/105 - d**5/6 + 4*d**3/3 - 6*d**2 + 7*d. Let v(i) = 0. What is i?
-2, -1, 1, 2
What is o in 0 + 2/13*o + 8/13*o**5 - 10/13*o**3 + 6/13*o**2 - 6/13*o**4 = 0?
-1, -1/4, 0, 1
Let k(o) be the third derivative of -o**6/180 + o**4/12 - o**3/6 + 2*o**2. Let t(d) be the first derivative of k(d). Factor t(r).
-2*(r - 1)*(r + 1)
Suppose 2*i**4 + 8*i**3 - 16*i - 41 + 9 - 16*i = 0. What is i?
-2, 2
Let b be 7 + 1 - (2 + -3). Suppose 0 = 5*j - 1 - b. Factor -1 + 3*y**4 + j*y**3 + 0 - 2*y - 2*y**4.
(y - 1)*(y + 1)**3
Let x be (-4)/(-6) - 8/30. Let u = -306 + 1532/5. Solve x*q + 2*q**2 + 6/5*q**3 - u = 0 for q.
-1, 1/3
Let l = -3 + 10. Suppose 0 = l*m - 5*m. Factor -4/3*g**3 + m*g + 0 - 2/3*g**4 - 2/3*g**2.
-2*g**2*(g + 1)**2/3
Let m(k) be the first derivative of 3*k**7/10 - 2*k**6/5 + 19*k**5/100 - k**4/30 - 6*k + 6. Let a(g) be the first derivative of m(g). Factor a(s).
s**2*(3*s - 1)**2*(7*s - 2)/5
Let u = -2 - -3. Let p = u + -1. Determine m, given that 2*m + p*m - 3*m**2 + m**2 = 0.
0, 1
Factor -9/8*l**2 + 0 + 3/8*l**3 + 0*l.
3*l**2*(l - 3)/8
Let c(k) be the second derivative of -k**7/6300 - k**4/4 + k. Let l(q) be the third derivative of c(q). Find b, given that l(b) = 0.
0
Let w(q) be the first derivative of 6*q**5/5 - q**4/2 - 4*q**3/3 - 2. Factor w(r).
2*r**2*(r - 1)*(3*r + 2)
Determine u, given that -2/7*u**2 + 0*u + 2/7 = 0.
-1, 1
Let d(g) be the third derivative of -g**5/60 + g**4/12 - g**3/6 - 6*g**2. Factor d(u).
-(u - 1)**2
Let c be 50/(-2)*2/(-5). Let m(w) = w - 7. Let j be m(c). What is k in -2*k**3 - 4*k**j + 4*k**3 - 2*k**2 + 2*k + 2 = 0?
-1, 1
Suppose -5*u - 5*r + 70 = 0, 1 = -3*u - 4*r + 47. Let l be 54/u + (-6)/15. Solve -9*k**5 - 3*k**l - 6*k**3 - 39*k**4 + 15*k**4 - 2*k**5 + 4*k**2 = 0.
-1, 0, 2/7
Let h(w) = w**4 - 7*w**2 - 2*w - 4. Let o(l) = 2*l**4 - 13*l**2 - 3*l - 7. Let c(q) = 7*h(q) - 4*o(q). Factor c(y).
-y*(y - 1)**2*(y + 2)
Let t(o) be the second derivative of -2/3*o**2 + 0 - 1/15*o**5 - 3*o + 5/9*o**3 - 1/18*o**4. Suppose t(r) = 0. What is r?
-2, 1/2, 1
Let r(j) be the second derivative of -j**8/840 + j**6/90 - j**4/12 - 5*j**3/6 - 2*j. Let n(f) be the second derivative of r(f). Find k, given that n(k) = 0.
-1, 1
Let i(o) = 5*o**2 + 5*o + 4. Let z be i(-1). Factor 1/3*c**5 + 0 - 1/3*c**3 - 1/3*c**z + 0*c + 1/3*c**2.
c**2*(c - 1)**2*(c + 1)/3
Suppose -2172*h = -2175*h + 6. Factor -9/2*f**3 - h + 11/2*f**2 + 8*f.
-(f - 2)*(f + 1)*(9*f - 2)/2
Find h such that -h - 5*h**3 + 6 - 6 + h**4 + 6*h**3 - h**2 = 0.
-1, 0, 1
Solve 5 - 14*f**2 - 13*f**2 - 6 - 5 - 21*f - 3*f**4 - 15*f**3 = 0.
-2, -1
Let w(a) be the second derivative of -a**7/273 - a**6/65 + 2*a**4/39 - 23*a. Suppose w(y) = 0. What is y?
-2, 0, 1
Let -23*a + 10*a**4 + 23*a + 3*a**5 + 3*a**3 - 4*a**4 = 0. Calculate a.
-1, 0
Factor 3/4*f**3 + 3/4*f**4 + 0*f + 0 - 3/4*f**2 - 3/4*f**5.
-3*f**2*(f - 1)**2*(f + 1)/4
Let n = -10/17 - -64/51. Factor 0 - 1/3*q**3 + n*q**2 - 1/3*q.
-q*(q - 1)**2/3
Let d(j) = j**2 + j + 1. Let o be d(-1). Let z(q) = 18*q**3 - 9*q**2 - 12*q. Let b(g) = -g**3 + g**2 + g. Let a(h) = o*z(h) + 15*b(h). Factor a(w).
3*w*(w + 1)**2
What is i in 2/9*i + 1/3*i**2 - 1/9*i**4 + 0 + 0*i**3 = 0?
-1, 0, 2
Let 25/3*f + 10 + 5/3*f**2 = 0. What is f?
-3, -2
Solve 2/3 + 2/3*z - 2/3*z**3 - 2/3*z**2 = 0 for z.
-1, 1
What is r in 3*r - 3/8*r**2 - 45/8 = 0?
3, 5
Suppose 0 = 5*r - l - 18, 4*r - 25 = 3*l - 4. Factor r*q**3 - 5*q**3 + 3*q**2 - 3*q**2 + 2*q**4.
2*q**3*(q - 1)
Let k be (-1)/(3/12*-2). Let -4*u**2 - 2*u**3 + 2*u**2 - k*u**2 = 0. Calculate u.
-2, 0
Let b(c) be the third derivative of 1/210*c**7 + 0*c**3 - 1/60*c**5 + 1/24*c**4 - 1/120*c**6 + 0 + 0*c - 2*c**2. Factor b(m).
m*(m - 1)**2*(m + 1)
Suppose 2*o + 8 = -o - 5*g, -3*g = -4*o + 28. Determine j, given that 8*j - j**2 - 12*j**2 - o*j + 3*j**2 = 0.
0, 2/5
Suppose -45 = -5*f + 2*f. Let b = -43/3 + f. Factor 2/9*x + 0 + b*x**2.
2*x*(3*x + 1)/9
Let g(v) be the first derivative of 1/6*v**3 - 1/8*v**4 + 5 + 0*v**2 + 0*v. Let g(p) = 0. What is p?
0, 1
Let l(n) be the third derivative of -n**6/30 - 2*n**5/15 - 21*n**2. Factor l(o).
-4*o**2*(o + 2)
Let h(x) be the third derivative of -2/9*x**3 - 2/45*x**5 + 4*x**2 + 1/180*x**6 + 5/36*x**4 + 0*x + 0. Let h(u) = 0. Calculate u.
1, 2
Let 0 + 3/7*i - 6/7*i**4 + 6/7*i**2 + 0*i**3 - 3/7*i**5 = 0. What is i?
-1, 0, 1
Suppose -90 = -4*v - v + 3*j, 4*v - 5*j = 72. Solve -v*q + 11*q**4 - q**4 + 50*q**2 + 2*q**5 + 8 + 4*q**4 + 50*q + 38*q**3 = 0 for q.
-2, -1
Factor 19*v - 2*v - 8 + 39*v - 98*v**2.
-2*(7*v - 2)**2
Let r(h) be the third derivative of 0 - h**3 + 1/20*h**5 + 2*h**2 + 1/8*h**4 + 0*h. What is u in r(u) = 0?
-2, 1
Find h such that 6/7*h**3 + 0 + 0*h + 2/7*h**5 - 2/7*h**2 - 6/7*h**4 = 0.
0, 1
Factor 2 + 2*k**2 + 11*k**2 + 29*k - 5501*k**3 + 5487*k**3.
-(k - 2)*(k + 1)*(14*k + 1)
Let c(x) be the third derivative of x**8/1344 - x**7/140 + 7*x**6/240 - x**5/15 + 3*x**4/32 - x**3/12 - 23*x**2. Find y such that c(y) = 0.
1, 2
Let v = 2 - -1. Suppose r = v*r - 2. Determine s, given that s**5 + 0*s**4 - 2*s**3 - r + 1 + s**4 = 0.
-2, 0, 1
Suppose 5*a = 5*t - 30, -3*t - 20 = 2*t + 5*a. Find o such that 0*o + o**2 + 0*o + 0*o - t = 0.
-1, 1
Let a = 19 - 15. Determine b, given that 2*b**3 + 8*b**2 - 4*b**3 + 10*b**3 - 10*b - 4*b + a = 0.
-2, 1/2
Let q(c) be the second derivative of 1/40*c**5 + 0*c**2 - 1/36*c**4 - 4*c + 1/36*c**6 + 0*c**3 + 0. Determine o so that q(o) = 0.
-1, 0, 2/5
Let a = -3 - -4. Suppose 3*i - 5 - a = 0. Factor -3*d**i + 5*d**2 - d**3 - d**3 - 2*d**4 + 2*d**5.
2*d**2*(d - 1)**2*(d + 1)
Let q be ((-12)/(-10))/(5/50 + 2). What is o in -4/7 - 1/7*o**2 - q*o = 0?
-2
Let w be ((-55)/10)/(2/(-4)). Let u = w - 9. Find z, given that 4*z**5 - 5*z**u + 3*z**4 - 3*z**5 + z**2 = 0.
-2, 0, 1
Let c be 455/225 + -4 - -2. Let q(p) be the third derivative of 0 + 0*p**4 - 1/180*p**6 + 0*p - c*p**5 + 0*p**3 - 3*p**2. Factor q(y).
-2*y**2*(y + 2)/3
Let d(y) be the second derivative of -y**6/15 - y**5/10 + y**4/2 + 5*y**3/3 + 2*y**2 - 13*y. Factor d(l).
-2*(l - 2)*(l + 1)**3
Let n(o) be the third derivative of o**5/15 + o**4/3 - 3*o**2. Factor n(h).
4*h*(h + 2)
Factor 8/7 + 2/7*j**3 - 6/7*j**2 + 0*j.
2*(j - 2)**2*(j + 1)/7
Let s = -5 + 0. Let c be 18/30 + (-17)/s. Find i such that 0*i**4 - c*i - i**4 - 2*i**3 + 5*i**3 = 0.
-1, 0, 2
Let q = 5 + -1. Let d be ((0/q)/1)/2. Factor d*g + 0 - g**2 - 5/2*g**3.
-g**2*(5*g + 2)/2
Let m(r) be the first derivative of 2*r**3 - 6*r - 3/4*r**4 + 3/2*r**2 - 2. Solve m(j) = 0 for j.
-1, 1, 2
Let p(h) be the first derivative of 25*h**6/33 + 18*h**5/11 + 12*h**4/11 + 8*h**3/33 -