e 63 = 4*u - 1. Let j be 40/u - 1/2. Factor 0 + 2*i**j + 0*i**3 - 2/3*i**4 + 4/3*i.
-2*i*(i - 2)*(i + 1)**2/3
Let p(i) = i**3 - 30*i**2 + 53*i - 29. Let v(l) = 3*l**3 - 75*l**2 + 132*l - 72. Let b(u) = 12*p(u) - 5*v(u). Find y, given that b(y) = 0.
1, 2
Let -39*r**4 - 221*r**4 - 48*r**4 - 1440*r**3 - 1472*r + 3232*r**2 + 196*r**5 + 95 + 97 = 0. What is r?
-3, 2/7, 2
Let x(r) be the first derivative of 4*r**5/95 + r**4/38 - 8*r**3/57 - 3*r**2/19 + 12. Factor x(m).
2*m*(m + 1)**2*(2*m - 3)/19
Factor -45*a - 27 - 3*a**3 - 3*a**2 - 18*a**2 + 0*a**3.
-3*(a + 1)*(a + 3)**2
Factor -2*x**2 + 4*x - 12*x - 13 + 7.
-2*(x + 1)*(x + 3)
Let v(k) be the third derivative of -5*k**8/1008 + k**7/42 - k**6/36 - k**5/18 + 5*k**4/24 - 5*k**3/18 - 5*k**2 + 7. Factor v(c).
-5*(c - 1)**4*(c + 1)/3
Let m(d) = -5*d**3 - 29*d**2 + 5*d - 5. Let k(g) = g**3 + 5*g**2 - g + 1. Let q be (-8)/(-6)*(-36)/(-8). Let l(r) = q*m(r) + 34*k(r). Let l(b) = 0. What is b?
-1, 1
Let d(o) be the third derivative of -o**5/390 + o**4/39 - o**3/13 - o**2. Determine t so that d(t) = 0.
1, 3
Let v be (4/(-5))/((-6)/15). Determine l so that 10*l**3 - 2*l**3 + 14*l**4 - 4*l**2 + v*l**3 = 0.
-1, 0, 2/7
Let y be 8/(-3) + 2 + 36/45. Let w(k) be the first derivative of y*k**5 - 1/18*k**6 + 0*k + 4 + 0*k**2 - 1/12*k**4 + 0*k**3. Determine j so that w(j) = 0.
0, 1
Let n(k) be the first derivative of -1 - 1/6*k**6 + 0*k**2 + 1/5*k**5 + 1/4*k**4 + 0*k - 1/3*k**3. Determine d so that n(d) = 0.
-1, 0, 1
Determine s so that 47*s**5 - 4*s**2 - s**4 + 3*s**3 + 5*s**4 - s**3 - 49*s**5 = 0.
-1, 0, 1, 2
Let m be (9/(-6) + 2)*0. Let l be m + 6/(-2) + 6. Factor 3*n**4 - 2*n**3 + 6*n**5 - l*n**5 - 3*n**2 - n**3.
3*n**2*(n - 1)*(n + 1)**2
Let f be 15/10*16/6. Suppose f = 4*u - 2*u. Solve -8*q**3 - 2*q**4 - 2 - 8*q + u*q**2 - 5*q**2 - 9*q**2 = 0.
-1
Suppose 0 = -4*l + 5 - 17, -5*y = 5*l. Let 3*f**5 + 3*f**5 + 2*f**5 - 5*f**5 + 12*f**y - 12*f**4 = 0. What is f?
0, 2
Suppose -2 = h, -4*y - 4*h + 2*h - 4 = 0. Factor -3*c**2 - 2*c + 2*c - 3*c + y*c.
-3*c*(c + 1)
Let p(d) be the second derivative of d**4/3 + 28*d**3/3 + 98*d**2 + 32*d. What is u in p(u) = 0?
-7
Suppose 2*y + 4 = 0, -2*s + s = -2*y + 7. Let p(l) = l**2 + 10*l - 9. Let v be p(s). What is h in 1 - 1 - 16*h**4 + 14*h**3 - 5*h**2 + h**v + 6*h**5 = 0?
0, 2/3, 1
Let j(p) be the first derivative of -3*p**4/4 - 7*p**3/3 + 9*p**2 - 8*p + 11. Factor j(k).
-(k - 1)*(k + 4)*(3*k - 2)
Suppose 5*i - 24 = 6. Suppose -4*z - 10 = -5*s + i, 0 = -s + 4*z. Factor 3/2*f - 1/2*f**2 - 1/2*f**s + 1 - 3/2*f**3.
-(f - 1)*(f + 1)**2*(f + 2)/2
Let k be 16/7 - (-4)/(-14). Let m(x) = 12 + x + 0*x - 12*x**k + 21*x**3 - 22*x. Let d(z) = -5*z**3 + 3*z**2 + 5*z - 3. Let l(o) = 9*d(o) + 2*m(o). Factor l(n).
-3*(n - 1)**2*(n + 1)
Suppose a + 4*m = 2, a + 4*m - 14 = -2*a. Let x(c) be the second derivative of -5/2*c**3 - 3*c**2 + 3/20*c**5 - 3/4*c**4 + 2*c + 1/10*c**a + 0. Solve x(f) = 0.
-1, 2
Let n(h) be the first derivative of -h**6/135 - h**5/45 + 2*h**3/27 + h**2/9 - 2*h - 1. Let q(k) be the first derivative of n(k). Factor q(j).
-2*(j - 1)*(j + 1)**3/9
Find l, given that 143 - 2*l**4 + 54*l**3 - 24*l**2 + 6*l**5 - 31*l**4 - 134 - 12*l = 0.
-1/2, 1, 3
Find y such that -2/5*y**3 + 12/5*y - 3/5*y**4 + 4/5 + 9/5*y**2 = 0.
-1, -2/3, 2
Let d be (-4)/(-20) + (-1)/5. Suppose -4*j + d*j + 20 = 0. Factor -i - i**2 - j*i + 5*i.
-i*(i + 1)
Suppose -z - 60 = -3*u, u - 31 = -0*u + 4*z. Suppose -5*a + 2*b + u = 0, -5*a - 4*b + 34 = -b. Suppose 0*j - 2*j - j**2 - a + 4*j + 4 = 0. Calculate j.
1
Factor 6/5 + 2/5*p**2 + 8/5*p.
2*(p + 1)*(p + 3)/5
Let d(l) be the first derivative of 4 + 4/9*l**6 + 26/15*l**5 + 1/3*l**2 + 5/2*l**4 + 14/9*l**3 + 0*l. Solve d(i) = 0.
-1, -1/4, 0
Solve -3*r**2 - 6 + 12*r**2 - r - 3*r**4 - 3*r**3 + 4*r = 0 for r.
-2, -1, 1
Let f(s) = -3*s**3 - s. Let o(r) be the second derivative of -r**5/10 - 2*r. Let z(t) = 2*f(t) - 4*o(t). Solve z(b) = 0 for b.
-1, 0, 1
Factor 0 + 0*v**2 - 34/9*v**4 - 8/9*v**5 + 0*v - 8/9*v**3.
-2*v**3*(v + 4)*(4*v + 1)/9
What is k in 0 + 3/8*k + 1/8*k**2 = 0?
-3, 0
Suppose 0 = -2*j - 3*w + 32, 2*w = -3*w + 20. Find h, given that -h**5 - 18*h**3 + 8*h**5 - 4*h - 2*h**5 + 14*h**2 + j*h**4 - 7*h**5 = 0.
0, 1, 2
Let m be ((2 + -6)/48)/(-2). Let u(h) be the third derivative of -2*h**2 + 1/6*h**3 + 1/240*h**5 + 0 + 0*h + m*h**4. Factor u(r).
(r + 2)**2/4
Let w(o) = -o - 1. Let l be w(-1). Let q(c) be the first derivative of -1/18*c**4 + 0*c**3 + l*c - 3 + 1/9*c**2. Find z, given that q(z) = 0.
-1, 0, 1
Let f(i) = -4*i**2 + 3*i - 4*i - 3*i - 2 + 2*i**3. Let k(n) = n**4 - 6*n**3 + 13*n**2 + 13*n + 7. Let t(v) = 7*f(v) + 2*k(v). Factor t(x).
2*x*(x - 1)*(x + 1)**2
Factor -1/3 + 0*l + 1/3*l**2.
(l - 1)*(l + 1)/3
Let v be 63/(-42)*2*3/(-2). Factor -u**2 + 0*u + 0 - v*u**3 - 6*u**4 - 5/2*u**5.
-u**2*(u + 1)**2*(5*u + 2)/2
Let u(i) = 11*i**2 - 25*i + 42. Let t(o) = -155*o**2 + 350*o - 590. Let v(x) = 6*t(x) + 85*u(x). Determine r so that v(r) = 0.
2, 3
Let w(r) = 6*r - 6. Let l be w(1). Let i(j) be the second derivative of -j + 0 - 1/12*j**4 - 1/84*j**7 + 1/12*j**3 + 1/30*j**6 + l*j**2 + 0*j**5. Factor i(n).
-n*(n - 1)**3*(n + 1)/2
Determine g, given that -48*g + 140*g**2 - 15*g**5 + 8*g + 85*g**4 - 2412*g**3 + 2242*g**3 = 0.
0, 2/3, 1, 2
Let t = -954/505 + 9/101. Let f = t - -37/15. Let 0*g - 2/3*g**2 + f = 0. What is g?
-1, 1
Solve -11*j**4 + 3*j**3 + 19*j**4 + 6*j**5 - j**3 = 0 for j.
-1, -1/3, 0
Let a(s) = -s**2 - 3*s + 4. Let o be a(1). Let v(y) be the first derivative of o*y**2 - 5/4*y**4 + 2 + 2/3*y**3 - 1/6*y**6 + 0*y + 4/5*y**5. Factor v(f).
-f**2*(f - 2)*(f - 1)**2
Let c(v) = -v**2 + 6*v + 1. Let s be c(5). Suppose 6 + 2*y**3 + 5*y**2 - 2*y**4 - y**2 - s = 0. Calculate y.
-1, 0, 2
Let y(u) be the first derivative of -9/40*u**5 - 3/8*u**4 - 4 - 2*u**2 - 1/20*u**6 - 1/4*u**3 + 0*u. Let g(w) be the second derivative of y(w). Factor g(a).
-3*(a + 1)**2*(4*a + 1)/2
Let m(d) be the first derivative of -d**4/20 - 4*d**3/15 - 2*d**2/5 + 4. Determine y, given that m(y) = 0.
-2, 0
Find d, given that 1/3*d**2 + 0 + 0*d = 0.
0
Let k(q) be the third derivative of 0 + 3/10*q**4 + 0*q + 4/75*q**5 + 3*q**2 + 4/15*q**3. Factor k(z).
4*(z + 2)*(4*z + 1)/5
Determine s so that 2/3*s + 2/3*s**2 + 0 = 0.
-1, 0
Let g(r) be the second derivative of -r**5/40 + 5*r**4/24 - 2*r**3/3 + r**2 + 2*r. Determine q so that g(q) = 0.
1, 2
Let z be 40/(-32)*(-3)/5. Solve -z*p + 3/4*p**2 + 1/4 - 1/4*p**3 = 0.
1
Let m(h) be the third derivative of 0 + 2/9*h**3 + 1/360*h**6 - 1/60*h**5 - 3*h**2 + 0*h**4 + 0*h. Find c, given that m(c) = 0.
-1, 2
Let -1/6 - 5/3*n**2 + 1/6*n**5 + 5/6*n - 5/6*n**4 + 5/3*n**3 = 0. Calculate n.
1
Let t(y) be the second derivative of -y**7/63 - y**6/45 + y**5/15 - 7*y. Factor t(m).
-2*m**3*(m - 1)*(m + 2)/3
Suppose 32*o + 26*o = 174. Find p, given that -3/4*p**o + 3/4*p**5 + 0*p + 0*p**2 + 0*p**4 + 0 = 0.
-1, 0, 1
Let j(w) be the third derivative of -w**8/1344 + w**7/840 + 3*w**6/160 + 11*w**5/240 + w**4/24 + 13*w**2. Factor j(v).
-v*(v - 4)*(v + 1)**3/4
Let y be 60/975*25/10. Factor -22/13*i**3 + 2/13 - 8/13*i**4 - y*i - 18/13*i**2.
-2*(i + 1)**3*(4*i - 1)/13
Let p(m) be the first derivative of -1/4*m**4 + 7/3*m**3 - 3/5*m**5 + 0*m**2 - 4*m + 2 + 1/6*m**6. Solve p(b) = 0.
-1, 1, 2
Let j(v) = 15*v**2 + 20*v - 20. Let f(m) = 90*m**2 + 120*m - 120. Let i(o) = 4*f(o) - 25*j(o). What is x in i(x) = 0?
-2, 2/3
Let u(q) be the first derivative of q**7/4620 - q**6/1980 - q**5/660 + q**4/132 + 2*q**3/3 + 2. Let o(n) be the third derivative of u(n). Factor o(y).
2*(y - 1)**2*(y + 1)/11
Let a(n) be the second derivative of 1/3*n**3 - 7/20*n**5 + 5/12*n**4 - 2*n + 0 + 0*n**2. Factor a(i).
-i*(i - 1)*(7*i + 2)
Suppose 3*a + 2*s + 4 = 0, -20 = 2*s + 2*s. Suppose -145/4*b**4 + 59/4*b**a + 7/2*b**3 - 1 - 25*b**5 - b = 0. Calculate b.
-1, -1/4, 2/5
Let -31 - 3*b**3 + 2 - 26 + 7 + 36*b = 0. What is b?
-4, 2
Let f be ((-2)/10*4)/(504/(-140)). Factor -64/9*n + f*n**4 + 16/3*n**2 - 16/9*n**3 + 32/9.
2*(n - 2)**4/9
Let d(x) be the third derivative of x**8/3360 + x**7/1260 - x**6/360 - x**5/60 + x**4/24 + 3*x**2. Let o(l) be the second derivative of d(l). Factor o(w).
2*(w - 1)*(w + 1)**2
Let l(d) be the second derivative of d**4/3 + 4*d**3/3 + 2*d**2 + 9*d. Factor l(o).
4*(o + 1)**2
Le