= -o**2 + 2*o - 2. Let m = 10 + -6. Let g(q) = m*b(q) - 6*z(q). Let g(r) = 0. Calculate r.
-2, 2
Let z(a) be the first derivative of 33*a**4/4 + 50*a**3/3 + 19*a**2/2 + 2*a - 9. Factor z(s).
(s + 1)*(3*s + 1)*(11*s + 2)
Let g(u) be the second derivative of u**5/70 - u**4/21 + u**3/21 - 12*u. Factor g(k).
2*k*(k - 1)**2/7
Let f be (-5)/(-10)*2*3. Let o(i) be the second derivative of -3*i + 0*i**f + 0 - 1/6*i**4 + i**2. Factor o(v).
-2*(v - 1)*(v + 1)
Let -19*t**2 + 22*t - 4 + 9/2*t**3 = 0. Calculate t.
2/9, 2
Determine h so that 2*h**5 + 0*h - 4*h**4 - 6*h**3 + 8*h**2 + 2*h + 6*h + 0*h**5 = 0.
-1, 0, 2
Determine s so that 4/17*s**4 + 0*s**3 + 0 - 2/17*s**5 + 2/17*s - 4/17*s**2 = 0.
-1, 0, 1
Let y = -4 - -13. Let f(l) = -3*l**2 - 5*l - 4. Let b(k) = 7*k**2 + 11*k + 9. Let w(z) = y*f(z) + 4*b(z). Factor w(j).
j*(j - 1)
Let w = -607/3 + 203. Let -w*q**2 + 8/9 + 8/9*q = 0. What is q?
-2/3, 2
Let m(b) be the second derivative of -b**5/60 - b**4/18 + 7*b**3/18 - 2*b**2/3 - 10*b - 1. Factor m(g).
-(g - 1)**2*(g + 4)/3
Let u(k) be the second derivative of k - 2/3*k**3 + 0 + 1/12*k**4 + 3/2*k**2. Let u(n) = 0. What is n?
1, 3
Let h(b) be the first derivative of b**5/10 - b**4/8 - 7. Suppose h(w) = 0. Calculate w.
0, 1
Factor 0*i + 9/2*i**3 - 6*i**4 - i**2 + 5/2*i**5 + 0.
i**2*(i - 1)**2*(5*i - 2)/2
Let f(p) = 2*p**5 - p**3 - 3*p**2 - p - 3. Let b(o) = 10*o**5 - 6*o**3 - 14*o**2 - 4*o - 14. Let v(j) = 6*b(j) - 28*f(j). Determine d, given that v(d) = 0.
-1, 0, 1
Let j be 5/(-10)*-10 + 0. Let s(t) be the third derivative of 0 - 8/9*t**3 - t**2 + 0*t + 49/20*t**6 + 23/9*t**4 - 35/9*t**j. Solve s(y) = 0 for y.
2/9, 2/7
Suppose -5*n - 25 = 3*d, 0*d + 5*d = 0. Let u = 7 + n. Suppose 4*v**3 - v**u + v - v**3 + 4*v**2 + v**4 = 0. What is v?
-1, 0
Let x(r) be the third derivative of -r**7/1050 + r**6/600 + r**5/300 - r**4/120 - 36*r**2. Factor x(y).
-y*(y - 1)**2*(y + 1)/5
Let z(j) = -9*j**3 + 20*j**2 + 23*j - 10. Let r(s) = -1. Let k(w) = 4*r(w) - z(w). Solve k(v) = 0.
-1, 2/9, 3
Let s(q) be the third derivative of 1/350*q**7 + 0 - q**2 + 0*q + 3/200*q**6 + 1/40*q**4 + 3/100*q**5 + 0*q**3. Suppose s(f) = 0. Calculate f.
-1, 0
Let s(l) be the first derivative of l**3 - 3*l - 18. Let s(m) = 0. Calculate m.
-1, 1
Let l(q) = 71*q**3 - 12*q**2 - 37*q - 5. Let v(o) = 12*o**3 - 2*o**2 - 6*o - 1. Let w(c) = 6*l(c) - 34*v(c). Suppose w(f) = 0. What is f?
-1, 2/9, 1
Let u(a) be the first derivative of 0*a + 0*a**3 + 6/25*a**5 + 3/20*a**4 + 0*a**2 + 1/10*a**6 - 2. Find c, given that u(c) = 0.
-1, 0
Let m(n) = 10*n**3 - n**2 - 9*n - 11. Let p(k) = 2*k**3 - 2*k - 2. Let h(l) = 2*m(l) - 11*p(l). Factor h(g).
-2*g*(g - 1)*(g + 2)
Let p(i) be the first derivative of -i**3 - 1/120*i**5 + 1/360*i**6 - 1/12*i**4 + 0*i - 2 + 0*i**2. Let s(w) be the third derivative of p(w). Factor s(g).
(g - 2)*(g + 1)
Let n be -1 - -2 - (2 - 2). Let a(p) = 3*p - 1. Let q be a(n). Factor -j**2 - j - q*j + 4*j.
-j*(j - 1)
Factor -9*n**2 - 8 - 17*n - 11*n - 3*n**2.
-4*(n + 2)*(3*n + 1)
Let a = 89146/105 - 849. Let l(j) be the third derivative of 0*j**4 - a*j**7 + 0*j**3 + j**2 + 0 + 0*j + 1/15*j**5 + 1/60*j**6. Let l(p) = 0. What is p?
-1, 0, 2
Let s(u) be the third derivative of -u**7/840 + u**6/120 + 3*u**5/40 + 5*u**4/24 + 7*u**3/24 - 5*u**2. Factor s(g).
-(g - 7)*(g + 1)**3/4
Let p(u) be the second derivative of u**8/840 - u**7/140 + u**6/180 + u**5/20 - u**4/6 + u**3/6 + 2*u. Let c(h) be the second derivative of p(h). Factor c(r).
2*(r - 2)*(r - 1)**2*(r + 1)
Let x(q) be the first derivative of 0*q - 1 - 1/3*q**3 - 1/6*q**4 - q**2 - 1/30*q**5. Let r(j) be the second derivative of x(j). Suppose r(w) = 0. What is w?
-1
What is a in 7/4*a**3 - 5/4*a**4 + 0 - a + 2*a**2 = 0?
-1, 0, 2/5, 2
Let u be (1785/(-28))/15 + (0 - -5). Solve 0 - 3/2*w - u*w**2 = 0 for w.
-2, 0
Suppose -3*a**3 - a**3 - 8*a + 0*a**3 + 12*a**2 = 0. What is a?
0, 1, 2
Let z(w) be the third derivative of w**5/420 - w**4/21 + 8*w**3/21 - 2*w**2. Solve z(i) = 0 for i.
4
Let n(q) be the second derivative of q**6/300 - q**5/75 - q**4/60 + 2*q**3/15 + q**2/2 + 3*q. Let a(j) be the first derivative of n(j). Factor a(y).
2*(y - 2)*(y - 1)*(y + 1)/5
Let b(h) = -7*h**2 - 7*h + 4. Let t(r) = -20*r**2 - 21*r + 11. Let g(y) = 17*b(y) - 6*t(y). Let n be g(-7). Factor -2/5*z**3 + 0*z**n + 0 + 2/5*z.
-2*z*(z - 1)*(z + 1)/5
Let h(c) be the third derivative of c**8/1008 + c**7/315 + c**6/360 - 5*c**2. Find f such that h(f) = 0.
-1, 0
Let f(n) = -n**3 - 3*n**2 + 3*n. Let c be f(-4). Suppose c*a - 4 = 2*a. Factor 0 - 1/3*i - 1/3*i**a.
-i*(i + 1)/3
Factor -8*c - 50/3*c**2 - 6*c**3 + 8/3.
-2*(c + 1)*(c + 2)*(9*c - 2)/3
Factor 10*f**3 + 4/3*f**2 + 16*f**4 + 0 + 0*f - 32/3*f**5.
-2*f**2*(f - 2)*(4*f + 1)**2/3
Let h(v) be the first derivative of v**7/126 + v**6/90 - v**5/60 - v**4/36 + 5*v + 6. Let j(l) be the first derivative of h(l). Determine r so that j(r) = 0.
-1, 0, 1
Let n(q) = -3*q**3 + 7*q**2 + 7*q - 3. Let a(u) = -u**2 - u. Let b(c) = -4*a(c) - n(c). Factor b(r).
3*(r - 1)**2*(r + 1)
Let t(s) be the first derivative of 25*s**6/2 - 27*s**5 - 57*s**4 + 176*s**3 - 144*s**2 + 48*s - 3. Determine k, given that t(k) = 0.
-2, 2/5, 1, 2
Let x(i) be the second derivative of -i**4/42 + i**3/21 - 10*i. Factor x(m).
-2*m*(m - 1)/7
Let m = -7/13 + 245/117. Factor 32/9*b**4 - 16/9*b**3 + 0 - 2/9*b - m*b**2.
2*b*(b - 1)*(4*b + 1)**2/9
Factor 0 + 0*i**3 + 0*i - 1/4*i**4 + 0*i**2.
-i**4/4
Let 0*u - 1/4*u**5 + 3/4*u**3 + 0 + 1/2*u**2 + 0*u**4 = 0. Calculate u.
-1, 0, 2
Find i such that -35*i**3 + 35*i**5 - 27*i**2 - 4 + 128*i**2 - 39*i**4 - 58*i**2 = 0.
-1, -2/7, 2/5, 1
Let u(i) be the third derivative of -i**5/160 + 5*i**4/32 - 25*i**3/16 - 26*i**2. Determine o so that u(o) = 0.
5
Let f(y) be the second derivative of y**8/6720 + y**4/4 + 4*y. Let n(i) be the third derivative of f(i). Let n(s) = 0. Calculate s.
0
Factor 0*d + 0*d**2 - 3/7*d**4 + 3/7*d**3 + 0.
-3*d**3*(d - 1)/7
Let i(u) be the second derivative of u**6/120 + 3*u**5/80 + u**4/16 + u**3/24 - u. Factor i(q).
q*(q + 1)**3/4
Let l(q) be the first derivative of -3*q + 3/2*q**4 - 3*q**2 + 4 + 3/5*q**5 + 0*q**3. Determine z so that l(z) = 0.
-1, 1
Let r be (33/15 - 3)*-1. Let d = 21/20 - r. Factor 0 + d*t**3 + 0*t + 1/2*t**2.
t**2*(t + 2)/4
Let p = -12453/5 - -2499. Determine o, given that -8/5 - 14/5*o**4 - 4/5*o**3 - 16/5*o + p*o**2 = 0.
-2, -2/7, 1
Suppose -3*t + t = 0. Let m be 14/(-3) - -3 - -2. Find q such that t*q**2 - m*q**3 + 1/3*q + 0 = 0.
-1, 0, 1
Factor 15/4*i**4 + 9/4*i**5 + 0*i + 1/4*i**2 + 7/4*i**3 + 0.
i**2*(i + 1)*(3*i + 1)**2/4
Factor -4/9*d**3 + 2/9*d**5 + 2/9*d + 0*d**2 + 0 + 0*d**4.
2*d*(d - 1)**2*(d + 1)**2/9
Let m(i) be the first derivative of i**5 - 10*i**3/3 + 5*i - 6. Solve m(b) = 0.
-1, 1
Find q such that -36/7*q**3 + 0 - 4*q**2 - 8/7*q - 4/7*q**5 - 20/7*q**4 = 0.
-2, -1, 0
Let w(h) = h**3 - h**2 - 9*h - 10. Let k be w(4). Find n such that -8/9*n**3 - 4/9*n + 0 - 10/9*n**k - 2/9*n**4 = 0.
-2, -1, 0
Let x = 21 + -17. Factor 6*v**5 - 5*v**2 + 4*v**x + 5*v**3 + 7*v**2 - 5*v**5.
v**2*(v + 1)**2*(v + 2)
Let c = -99 - -162. Let b = -251/4 + c. Factor 1/4*k - 1/4*k**3 - b*k**2 + 1/4.
-(k - 1)*(k + 1)**2/4
Let h(y) = -y**3 - 4*y**2 - y - 1. Let a be h(-4). Factor -2/9*f**a + 0 + 0*f + 4/9*f**2.
-2*f**2*(f - 2)/9
Let v(j) be the second derivative of j**6/60 - j**5/10 + j**4/4 - j**3/3 - 3*j**2/2 + 2*j. Let w(x) be the first derivative of v(x). Factor w(g).
2*(g - 1)**3
Suppose 0 = -96*n + 102*n - 12. Let 0 - 1/2*v**n - 1/6*v**3 + 0*v = 0. Calculate v.
-3, 0
Suppose 0 = -4*d - 23 - 17. Let s be ((-12)/d)/((-16)/(-40)). Let -q**s + 7*q**3 + 9*q**2 + 3*q + 3*q**4 + 3*q**3 = 0. What is q?
-1, 0
Suppose 0 = -6*h - 465 + 489. Suppose -1/3*n - n**3 + 0 - 1/3*n**h - n**2 = 0. Calculate n.
-1, 0
Let k(m) be the third derivative of -1/20*m**5 - 1/8*m**4 + 0*m + 0 + 0*m**3 - 4*m**2. Let k(l) = 0. Calculate l.
-1, 0
Let r = -626/15 + 377/5. Let y = 35 - r. Factor 0*b + 2*b**4 - 10/3*b**5 + 0 + 0*b**2 + y*b**3.
-2*b**3*(b - 1)*(5*b + 2)/3
Suppose -5*q - 8 = -33. Let v(i) be the second derivative of -7/20*i**q + 3*i + 0 + 1/30*i**6 + 4*i**2 - 10/3*i**3 + 3/2*i**4. Factor v(z).
(z - 2)**3*(z - 1)
Let l be (3/2)/((-3)/(-10)). Factor 3*s**2 + 1 + 2*s - 2*s + s**4 - l*s**2.
(s - 1)**2*(s + 1)**2
Supp