y) = y**5 - 3*y**4 + 10*y**3 - 4*y**2 + 2. Let a(v) = 2*v**5 - 5*v**4 + 21*v**3 - 8*v**2 + 5. Let g(x) = 4*a(x) - 10*i(x). Factor g(d).
-2*d**2*(d - 2)**2*(d - 1)
Let o(w) be the third derivative of w**7/3780 - w**5/45 - w**4/8 + 8*w**2. Let d(q) be the second derivative of o(q). What is s in d(s) = 0?
-2, 2
Let a = -14/31 + 59/62. Solve 7/4*f**2 - f**3 + 0 + a*f = 0 for f.
-1/4, 0, 2
Let x(t) = 20*t - 1. Let q be x(1). Suppose -12*b**2 - 50*b**4 + 5*b**4 - 64*b**5 - q*b**3 - 51*b**4 - b - 33*b**3 = 0. What is b?
-1/2, -1/4, 0
Let t(d) be the second derivative of -d**5/150 - 2*d**4/15 - d**3 - 10*d**2/3 + 16*d. Determine g, given that t(g) = 0.
-5, -2
Solve 0 + 14/13*m**2 + 8/13*m = 0.
-4/7, 0
Let n = -5 - -8. Suppose 2*y - 14 = -n*d, -3*d + y = -4 - 7. Find p, given that 2 + d*p**2 + 4*p - 5*p - 4*p - p**3 = 0.
1, 2
Let s(i) = -9*i**2 - 24*i - 36. Suppose 0 = -o, -5*u + 10 = 3*o - 0*o. Let f(g) = 4*g**2 + 12*g + 18. Let y(j) = u*s(j) + 5*f(j). Factor y(b).
2*(b + 3)**2
Let x(o) = 15*o**2 - o - 7*o**2 + 2*o**2 + o**3 - 10*o**3. Let q be (-3)/2*(-16)/3. Let i(n) = 26*n**3 - 30*n**2 + 4*n. Let y(h) = q*x(h) + 3*i(h). Factor y(f).
2*f*(f - 1)*(3*f - 2)
Let z(c) be the third derivative of -c**2 + 0*c + 0*c**3 + 0*c**5 + 0 - 1/56*c**4 + 1/280*c**6. Suppose z(b) = 0. Calculate b.
-1, 0, 1
Let v(a) be the first derivative of -5/3*a**3 + 8 + 1/4*a**4 - 3*a + 7/2*a**2. Let v(y) = 0. Calculate y.
1, 3
Let h(u) = 9*u**3 - 10*u**2 + 8*u + 27. Let g(s) = -3*s**3 + 3*s**2 - 3*s - 9. Let b(x) = -17*g(x) - 6*h(x). Determine i so that b(i) = 0.
-1, 1, 3
Let s(d) be the third derivative of 4*d**2 + 0 + 0*d + 1/16*d**4 + 1/6*d**3 - 1/24*d**5. Factor s(a).
-(a - 1)*(5*a + 2)/2
Let d(f) be the first derivative of 6*f**2 - 2/5*f**5 - 16/3*f**3 + 5 + 18*f - 3*f**4. Factor d(j).
-2*(j - 1)*(j + 1)*(j + 3)**2
Let v be 0/((-36)/(-9)*(-2)/4). Find y such that 4/7*y + 2/7*y**4 + v*y**2 - 4/7*y**3 - 2/7 = 0.
-1, 1
Let b(k) be the third derivative of -k**7/1155 - k**6/660 + k**5/330 + k**4/132 - 13*k**2. Let b(x) = 0. Calculate x.
-1, 0, 1
Factor -18*i + 9*i**2 - 19*i + 9 + 7*i.
3*(i - 3)*(3*i - 1)
Let m(r) be the first derivative of -3 - 1/9*r**3 + 0*r**2 + 0*r + 1/12*r**4. Factor m(h).
h**2*(h - 1)/3
Let c(i) = -i**2 - 5*i + 10. Let w be c(-7). Let q be 2/w*32/(-8). What is b in -10/7*b**q - 4/7 + 2*b = 0?
2/5, 1
Let a be 13/(-10) - (-18)/12. Let f(c) be the second derivative of c - 2/3*c**3 + a*c**5 + 0 - 5/6*c**4 + 1/3*c**6 + 0*c**2. Find j such that f(j) = 0.
-1, -2/5, 0, 1
Let p(o) = o**3 + 9*o**2 + 9*o + 8. Let n be p(-8). Let h(v) be the second derivative of n - 1/7*v**3 - 2*v - 2/7*v**2 + 5/42*v**4. Solve h(g) = 0 for g.
-2/5, 1
Let l(y) = -17*y + 13. Let s be l(9). Let r be 4/(-14) - s/147. Factor -7/3*x**2 + 0 - r*x.
-x*(7*x + 2)/3
Let f(d) be the first derivative of -d**3 - 1/4*d**4 + 1/5*d**5 + 1/2*d**2 + 2*d + 6. Find r such that f(r) = 0.
-1, 1, 2
Let a(h) be the third derivative of -h**7/8820 - h**6/840 - h**5/210 - 7*h**4/24 - 2*h**2. Let o(f) be the second derivative of a(f). Let o(w) = 0. Calculate w.
-2, -1
Let x(u) be the third derivative of u**6/360 + u**5/45 + 5*u**4/72 + u**3/9 - 4*u**2. Factor x(t).
(t + 1)**2*(t + 2)/3
Let l be 2/((-1)/1) + 5. Factor 2*r**2 + r**5 - 2*r**5 - r**4 - r - 1 - l*r**5 + 3*r**5 + 2*r**3.
-(r - 1)**2*(r + 1)**3
Let m = 197/510 - 6/17. Let l(z) be the second derivative of m*z**6 - 1/12*z**4 - 1/6*z**3 + z + 0 + 1/20*z**5 + 0*z**2. Suppose l(h) = 0. Calculate h.
-1, 0, 1
Let g(j) = j**2 + 3*j - 2. Let y be g(-4). Let o(r) = -y*r + r - 13 + 3*r - 11*r**2. Let a(h) = 5*h**2 - h + 6. Let p(k) = -13*a(k) - 6*o(k). Factor p(u).
u*(u + 1)
Let h(u) be the second derivative of u**6/90 + u**5/60 - 2*u**4/9 - 2*u**3/3 + 17*u + 1. What is w in h(w) = 0?
-2, 0, 3
Let v(n) be the third derivative of n**5/90 + n**4/18 + n**3/9 + 3*n**2. Factor v(q).
2*(q + 1)**2/3
Let 5*i**4 + 11*i**3 + 8*i**3 - 10*i**2 - 24*i**3 = 0. What is i?
-1, 0, 2
Let q(r) be the first derivative of 0*r + 1/20*r**4 + 2/15*r**3 + 7 + 1/10*r**2. Factor q(n).
n*(n + 1)**2/5
Let c(k) be the first derivative of k**6/9 - k**4/6 - 20. Factor c(j).
2*j**3*(j - 1)*(j + 1)/3
Let s(w) be the second derivative of -1/4*w**4 + 4*w + 0 - 1/2*w**3 + 3*w**2. Factor s(l).
-3*(l - 1)*(l + 2)
Let m(v) be the first derivative of 0*v + 0*v**2 + 1/30*v**6 + 0*v**3 - 1/20*v**4 - 3 + 0*v**5. Find b, given that m(b) = 0.
-1, 0, 1
Let d(w) = w**3 + 10*w**2 + 3*w - 6. Let b(u) = 9*u**2 + 3*u - 6. Let h(p) = 4*b(p) - 3*d(p). What is l in h(l) = 0?
-1, 1, 2
Let m = 157/195 + -1/195. Factor 3/5*p**2 - 4/5 + m*p.
(p + 2)*(3*p - 2)/5
Let p = -92 + 281/3. Factor 1/3*z**2 + 0 + 8/3*z**3 + p*z**4 - 2/3*z.
z*(z + 1)**2*(5*z - 2)/3
Suppose -40 = 2*d - 22*d. Suppose 0*c + 1/5*c**d - 1/5 = 0. What is c?
-1, 1
Let y = 55 - 50. Let n(u) be the third derivative of 1/108*u**4 - u**2 + 0*u**3 - 1/540*u**6 + 0 + 1/945*u**7 - 1/270*u**y + 0*u. Find i such that n(i) = 0.
-1, 0, 1
Let f(k) = -2*k - 8. Let c be f(-4). Suppose 0 = -c*o + o. Solve 4/5*x**3 + 2/5*x**4 + 2/5*x**2 + 0*x + o = 0.
-1, 0
Let o(f) be the first derivative of -2*f**6/15 + 3*f**5/10 + f**4/6 - f**3 + f**2 - f - 2. Let z(k) be the first derivative of o(k). Solve z(v) = 0 for v.
-1, 1/2, 1
Factor 0 - 1/3*j**2 + 1/3*j.
-j*(j - 1)/3
Let a(x) be the second derivative of -1/45*x**5 + 0 - 1/2*x**2 + 2*x + 0*x**3 + 1/36*x**4 + 1/180*x**6. Let c(g) be the first derivative of a(g). Factor c(o).
2*o*(o - 1)**2/3
Suppose -1 - 19 = -4*p. Let k = p + -3. Find u, given that 3*u**2 - 24*u**3 + 4*u - 7*u**2 - k*u**2 - 14*u**4 = 0.
-1, 0, 2/7
Let v(w) be the first derivative of 2*w**5/25 + 2*w**4/5 - 7. Suppose v(i) = 0. Calculate i.
-4, 0
Suppose 5*x + 15 = f, 6*x - 2*x = -f - 12. Factor 12 + 4*z + f*z - 7*z**2 - 12*z - 13*z**2.
-4*(z + 1)*(5*z - 3)
Let q be ((-2)/(-10))/(69/1035). Factor 2/7*l**5 - 2/7 - 2/7*l**4 + 2/7*l + 4/7*l**2 - 4/7*l**q.
2*(l - 1)**3*(l + 1)**2/7
Let t be (-75)/(-9) - 1/3. Let y = t + -8. Solve 3 + 3/2*u**3 - 9/2*u + y*u**2 = 0.
-2, 1
Let q = -597 - -599. Determine b so that -1 - 1/4*b**5 - 1/4*b**q + 1/4*b**4 + 5/4*b**3 - 2*b = 0.
-1, 2
Let i(n) = n**5 - 3*n**4 - 3*n**3 + n**2 - 2. Let d(a) = -a**5 + a**3 + a**2 + a + 1. Let y(r) = -2*d(r) - i(r). Factor y(x).
x*(x - 1)*(x + 1)**2*(x + 2)
Suppose -4*d + 6*d + 6 = 3*j, 2*j - 4*d - 12 = 0. Factor -7/4*n**3 + n**4 + 1/4*n + 1/2*n**2 + j.
n*(n - 1)**2*(4*n + 1)/4
Let 8*y + 4*y + y + 4 + y**2 + 3*y**3 - 21*y = 0. Calculate y.
-2, 2/3, 1
Factor 12 - 3*f - 10*f**2 + 8*f**2 + f.
-2*(f - 2)*(f + 3)
Let q be ((28/35)/1)/(6/15). Factor 4*i + 6 + 2/3*i**q.
2*(i + 3)**2/3
Let k(t) be the second derivative of t**6/50 - 3*t**5/25 - 3*t**4/20 + 7*t**3/5 - 12*t**2/5 - 2*t - 2. Let k(w) = 0. What is w?
-2, 1, 4
Let z(y) be the first derivative of -y**7/840 - y**6/72 - y**5/15 - y**4/6 + y**3/3 + 2. Let x(w) be the third derivative of z(w). Solve x(j) = 0 for j.
-2, -1
Suppose -3 = -r + 3. Let y(s) be the third derivative of 2*s**4 - 2*s**2 + 14/15*s**7 + 41/12*s**5 + 0 + 2/3*s**3 + 119/40*s**r + 0*s. Factor y(p).
(p + 1)*(4*p + 1)*(7*p + 2)**2
Let g(u) be the first derivative of 4*u**3/3 + 12*u**2 + 20*u - 15. Factor g(k).
4*(k + 1)*(k + 5)
Suppose 0*y = -2*y + 4. Determine d, given that -y*d + 2*d**3 - 2*d**4 - 2*d**4 + 3*d**4 + 1 = 0.
-1, 1
Let x = 5 + -5. Suppose 3 - 6*a + x*a + 2*a**2 - 6*a**2 - 5 = 0. Calculate a.
-1, -1/2
Let w(k) be the third derivative of k**8/84 - 2*k**7/35 + k**6/15 + 28*k**2. Suppose w(y) = 0. Calculate y.
0, 1, 2
Let x be ((-9)/18)/((-3)/(-64)). Let h = x - -11. Find b, given that -h + 1/3*b**2 + 0*b = 0.
-1, 1
Let d(w) be the first derivative of -w**4/22 - 10*w**3/33 - 7*w**2/11 - 6*w/11 + 5. Find j such that d(j) = 0.
-3, -1
Let r(h) = 6*h**5 - 6*h**4 - 37*h**3 - 25*h**2 - 7*h + 7. Let s(q) = 2*q**5 - 2*q**4 - 12*q**3 - 8*q**2 - 2*q + 2. Let o(a) = -2*r(a) + 7*s(a). Factor o(y).
2*y**2*(y - 3)*(y + 1)**2
Let b(x) be the first derivative of -x**4/2 - 14*x**3/15 + 8*x**2/5 + 8*x/5 - 5. Factor b(q).
-2*(q - 1)*(q + 2)*(5*q + 2)/5
Let c be (18/(-3))/(-1 - 0). Suppose -2*r**2 + c*r**2 - r - 3*r - r**3 = 0. What is r?
0, 2
Let d(v) = 3*v**2 - 3. Let c(l) = -6*l**2 + 6. Let k be -6 + 7 + (0 - -2). Let m(t) = k*c(t) + 5*d(t). Factor m(x).
-3*(x - 1)*(x + 1)
Let r = 15 + -1