tive of q**7/1260 - q**6/135 + q**5/36 - q**4/18 - q**3/2 - q**2. Let s(h) be the first derivative of v(h). Factor s(r).
2*(r - 2)*(r - 1)**2/3
Let i(v) be the first derivative of -4 + 0*v + 0*v**2 + v**3 - 3/2*v**4 + 3/5*v**5. Suppose i(u) = 0. What is u?
0, 1
Let f(y) = -y**5 + y**4 + y**3 - y**2. Let d(o) = -16*o**5 + 4*o**4 + 8*o**3 - 12*o**2. Let s(q) = d(q) - 12*f(q). Suppose s(w) = 0. Calculate w.
-1, 0
Determine l so that -1/3*l**4 + 3*l**2 - 5/3*l - l**3 + 0 = 0.
-5, 0, 1
Let i(n) = n**2 - n - 1. Let q(d) = -2*d**3 + 12*d**2 - 10*d - 8. Let t(v) = 8*i(v) - q(v). Factor t(x).
2*x*(x - 1)**2
Let x(w) = 7*w**2 + 13*w + 11. Let r(u) = 3*u**2 + 6*u + 5. Let l(m) = 5*r(m) - 2*x(m). What is c in l(c) = 0?
-3, -1
Let z(n) be the second derivative of -n**5/40 + n**3/4 - n**2/2 + 5*n. Suppose z(a) = 0. What is a?
-2, 1
Let u(j) be the third derivative of 4*j**2 + 0*j + 1/15*j**3 + 0 + 0*j**4 - 1/150*j**5. Factor u(d).
-2*(d - 1)*(d + 1)/5
Let z(r) be the third derivative of -r**8/112 + 2*r**7/35 - r**6/40 - r**5/2 + r**4/2 + 4*r**3 - 10*r**2 - r. Suppose z(a) = 0. What is a?
-1, 2
Let i be (110/77)/(-3 + (-30)/(-7)). Solve 16/9*g + 8/9 + 2/9*g**3 + i*g**2 = 0 for g.
-2, -1
Find l, given that -37*l**4 - 5*l**5 - 4*l**3 + l**5 + 45*l**4 = 0.
0, 1
Let h be 0/(-2)*1/2. Factor -6 + h - 3*r + 1 + 3 - r**2.
-(r + 1)*(r + 2)
Let a(z) be the first derivative of -z**7/42 + z**6/10 - 3*z**5/20 + z**4/12 + 4*z - 5. Let k(y) be the first derivative of a(y). Let k(q) = 0. What is q?
0, 1
Solve -48*c**3 - 8*c**2 - 37*c**2 + 12*c**2 - 21*c**4 - 6*c = 0 for c.
-1, -2/7, 0
Let v(z) be the first derivative of 1/8*z**4 + 0*z**3 + 0*z + 3 - 1/4*z**2. Let v(d) = 0. What is d?
-1, 0, 1
Let l(b) be the first derivative of -5*b**3/3 - 5*b**2/2 - 28. Factor l(p).
-5*p*(p + 1)
Factor -1/3*v**5 - 11/3*v**3 + 2/3*v**2 + 2*v**4 + 4*v - 8/3.
-(v - 2)**3*(v - 1)*(v + 1)/3
Let z(x) = -x**2 - x + 2. Let u(l) = -11*l**2 - 24*l + 7. Let f(p) = u(p) - 5*z(p). Factor f(a).
-(a + 3)*(6*a + 1)
Let q be (36/(-30))/((-3)/20). Let j = q - 5. Factor u**4 + 2*u - 5*u**2 + 4*u**j - 4*u**4 + 0*u**4 + 2*u**4.
-u*(u - 2)*(u - 1)**2
Let v = 44 + -87/2. Let a(t) be the first derivative of -1/4*t**4 + 2 + 2*t - 2/3*t**3 + v*t**2. Factor a(u).
-(u - 1)*(u + 1)*(u + 2)
Let -1/6*d**2 + 0 + 0*d = 0. Calculate d.
0
Let l(b) be the first derivative of -b**9/10584 - b**8/5880 + 2*b**3 - 3. Let h(s) be the third derivative of l(s). Suppose h(t) = 0. Calculate t.
-1, 0
Let t(i) be the second derivative of -i**6/180 - i**5/40 - i**4/36 + 33*i + 1. Suppose t(p) = 0. What is p?
-2, -1, 0
Factor -3/2*u**3 + 3/2*u**4 + 0 - 3*u**2 + 0*u.
3*u**2*(u - 2)*(u + 1)/2
Factor 0 - 1/3*w - 1/2*w**4 - 7/6*w**2 - 4/3*w**3.
-w*(w + 1)**2*(3*w + 2)/6
Let k = -104/3 - -106/3. Solve -5/3*i**2 + 0 - k*i = 0 for i.
-2/5, 0
Let z be (-45)/(-35) + -1 + (-13)/(-28). Factor -3/2*n - z*n**2 - 3/4.
-3*(n + 1)**2/4
Factor 2 - 8 + 7 + 3*p**3 + 5 - 9*p.
3*(p - 1)**2*(p + 2)
Let r(n) be the third derivative of n**5/240 - n**4/24 + n**3/6 - 15*n**2. Factor r(z).
(z - 2)**2/4
Let t be (-10)/(-2) + (-18)/9. Let i be (t/(-15))/((-6)/12). Find x such that -1/5*x**3 + 0 + i*x**2 - 1/5*x = 0.
0, 1
Let v(x) be the third derivative of x**6/540 - x**5/54 + 7*x**4/108 - x**3/9 + 7*x**2. Factor v(r).
2*(r - 3)*(r - 1)**2/9
Determine m, given that 0 + 0 - 9*m**3 - 4*m**5 - 55*m**3 + 32*m**4 = 0.
0, 4
Factor 3/7*a - 3/7*a**3 + 0 - 3/7*a**2 + 3/7*a**4.
3*a*(a - 1)**2*(a + 1)/7
Let g(p) be the third derivative of p**5/180 - p**4/18 - 15*p**2. Factor g(f).
f*(f - 4)/3
Let q = -11 + 16. Factor 10*f + 5*f**2 + 1 - 3*f**2 - 6*f**2 - q.
-2*(f - 2)*(2*f - 1)
Let v(z) = -26*z**3 + 134*z**2 - 332*z - 458. Let o(y) = -9*y**3 + 45*y**2 - 111*y - 153. Let r(l) = -17*o(l) + 6*v(l). Factor r(c).
-3*(c - 7)**2*(c + 1)
Suppose -71*a + 52 = -45*a. Find r such that 2/5*r**a + 0 + 2/5*r = 0.
-1, 0
Let j(m) be the third derivative of 0*m**5 + 0*m - m**2 + 1/1260*m**6 - 1/84*m**4 + 0 - 1/2*m**3. Let f(c) be the first derivative of j(c). Factor f(k).
2*(k - 1)*(k + 1)/7
Let 0 + u + 2*u**2 - 5/4*u**3 = 0. What is u?
-2/5, 0, 2
Let n(h) be the first derivative of 2/35*h**5 + 2/7*h**2 - 1 - 2/7*h + 0*h**3 - 1/7*h**4. Factor n(f).
2*(f - 1)**3*(f + 1)/7
Let s = -22 + 22. Factor s*n**3 + 1/4*n**4 + 0*n + 1/4 - 1/2*n**2.
(n - 1)**2*(n + 1)**2/4
Suppose 0 = u + 2 + 7. Let q(k) = 6*k**2 + 27*k + 3. Let p(z) = -3*z**2 - 14*z - 1. Let f(j) = u*p(j) - 5*q(j). Factor f(r).
-3*(r + 1)*(r + 2)
Let c be (0/(-2 - -1))/2. Let h(n) be the second derivative of 0*n**2 + c*n**3 - 1/48*n**4 - 2*n + 0 - 1/80*n**5. Factor h(l).
-l**2*(l + 1)/4
Factor -2*y - 4/5*y**2 + 2/5*y**5 + 8/5*y**4 - 4/5 + 8/5*y**3.
2*(y - 1)*(y + 1)**3*(y + 2)/5
Let b be 96/24 - (-1 + (-26)/(-6)). Factor 1/3 + 1/3*h**2 + b*h.
(h + 1)**2/3
Factor 12/5 + 14/5*q + 2/5*q**2.
2*(q + 1)*(q + 6)/5
Factor 4 - 2 - 5*b - 5*b**3 + b**3 - 11*b**2.
-(b + 1)*(b + 2)*(4*b - 1)
Let z(o) = -3*o + 9 + o**3 + 5*o**2 - 12 + 7 + o**4. Let f(x) = 2*x**4 + x**3 + 6*x**2 - 2*x + 5. Let r(y) = -2*f(y) + 3*z(y). Factor r(d).
-(d - 1)**3*(d + 2)
Let p(u) = -2*u**2 + 16*u + 42. Let j be p(10). Factor -2/7*q + 0*q**4 - 2/7*q**5 + 0 + 0*q**j + 4/7*q**3.
-2*q*(q - 1)**2*(q + 1)**2/7
Let m(v) be the second derivative of -1/78*v**4 + 0 - 2*v + 1/13*v**2 + 0*v**3. What is q in m(q) = 0?
-1, 1
Let z(s) be the third derivative of -s**7/35 + s**6/40 + s**5/4 + s**4/4 - 21*s**2. Factor z(a).
-3*a*(a - 2)*(a + 1)*(2*a + 1)
Let j(g) = g**2 - 8*g + 1. Let w be j(9). Let m be 4/30*w/6. Let -2/9*s**2 + 0 - m*s = 0. What is s?
-1, 0
Let r(u) be the third derivative of 0*u**4 + 0 + 5*u**2 + 0*u + 1/1344*u**8 + 0*u**3 + 1/840*u**7 - 1/480*u**6 - 1/240*u**5. Find b, given that r(b) = 0.
-1, 0, 1
Let x(i) = -i + 1. Let o(m) = -4*m**2 - 1. Let k(t) = -o(t) - x(t). Find p such that k(p) = 0.
-1/4, 0
Let z(r) be the third derivative of -5*r**6/24 - r**5/4 + 5*r**4/12 - 12*r**2. Factor z(g).
-5*g*(g + 1)*(5*g - 2)
Let w(m) be the third derivative of m**6/96 + m**5/16 + 5*m**4/32 + 5*m**3/24 + 11*m**2. Factor w(z).
5*(z + 1)**3/4
Let w(k) be the first derivative of -3/16*k**4 - 1/20*k**5 - 1/8*k**2 - 2 + 0*k - 1/4*k**3. Let w(i) = 0. Calculate i.
-1, 0
Let t(d) be the second derivative of -d**6/480 + d**4/96 - d**2 + 4*d. Let o(w) be the first derivative of t(w). Factor o(b).
-b*(b - 1)*(b + 1)/4
Let f(d) be the first derivative of -23/5*d**5 - 45/4*d**4 - 2*d + 25/3*d**3 + 7*d**6 + 3/2*d**2 - 2. What is y in f(y) = 0?
-1, -2/7, 1/3, 1/2, 1
Let v be (-4)/4 + -2 + 5. Let w be 4/16 + v/(-8). Suppose 4/7*k - 10/7*k**3 + 6/7*k**2 + w = 0. Calculate k.
-2/5, 0, 1
Let u(i) be the first derivative of -3*i**4/4 - 3*i**3 - 9*i**2/2 - 3*i + 7. What is f in u(f) = 0?
-1
Suppose 17 = 3*p + 3*l + 2, 2*p = -l + 8. Let j(v) be the second derivative of 0*v**2 - 49/30*v**6 - 1/3*v**4 + 0 - 7/5*v**5 + 0*v**p + v. Factor j(d).
-d**2*(7*d + 2)**2
Suppose -4*k + 31 = 11. Let f(b) be the second derivative of 0*b**2 + 1/30*b**4 + 0*b**3 + 0 + 1/25*b**k + 1/75*b**6 + 2*b. Solve f(v) = 0.
-1, 0
Factor 10*i**2 + 4 - 6*i**2 - 102*i + 94*i.
4*(i - 1)**2
Factor 4 - 30*g**3 + 5*g**4 + 16*g**2 + 2*g**4 - 4*g**2 - 24*g + 31*g**2.
(g - 2)*(g - 1)**2*(7*g - 2)
Let x(i) = i**2 - 1. Let f(h) = -12*h**2 + 8*h + 8. Let g(u) = -f(u) - 8*x(u). Factor g(k).
4*k*(k - 2)
Let t(s) be the third derivative of s**9/20160 - s**8/6720 - s**7/1680 + s**6/240 - 7*s**5/60 - 7*s**2. Let f(z) be the third derivative of t(z). Factor f(y).
3*(y - 1)**2*(y + 1)
Determine t so that -4/11*t**3 + 6/11*t**4 + 0 + 4/11*t - 6/11*t**2 = 0.
-1, 0, 2/3, 1
Let a(d) be the first derivative of 0*d - 4 + 1/6*d**4 - 2/15*d**5 - 1/3*d**2 + 2/9*d**3. Factor a(o).
-2*o*(o - 1)**2*(o + 1)/3
Let j(w) = -2*w**2 - 13*w + 11. Let q be j(-7). Let d(i) be the third derivative of 0 + 0*i + 2*i**2 - 1/84*i**q + 0*i**3 + 1/210*i**5. Factor d(x).
2*x*(x - 1)/7
Let s(d) be the third derivative of d**7/280 - d**6/160 - 3*d**5/8 - 19*d**4/8 - 7*d**3 - 11*d**2. Determine h so that s(h) = 0.
-2, 7
Factor 0 + 1/6*c**4 - 5/6*c**3 + 0*c + 0*c**2.
c**3*(c - 5)/6
Let o(z) = -7*z**2 + 5*z. Let p be -1 - (0 - 1)*6. Let g(w) = 375 - 4*w - 375 + 6*w**2. Let d(q) = p*o(q) + 6*g(q). What is r in d(r) = 0?
-1, 0
Suppose -5*d + q = -2*q - 37, 0 = 4*d + 2*q - 12. Let r = 