(g) = h*c(g) + u*d(g). Solve b(t) = 0 for t.
-1, 1
Let x(p) be the third derivative of 0*p**3 + 1/72*p**6 + 0 + 0*p + 5*p**2 + 1/24*p**4 + 1/630*p**7 + 7/180*p**5. Factor x(y).
y*(y + 1)**2*(y + 3)/3
Suppose -2*q + q = 0. Let a = -227/4 + 57. Suppose -a*x**4 + q*x + x**3 - x**2 + 0 = 0. Calculate x.
0, 2
Let s be (12 - 6)/((-6)/(-4)). Factor 0*t - 2/9*t**3 + 0 + 0*t**2 + 4/9*t**s - 2/9*t**5.
-2*t**3*(t - 1)**2/9
Suppose 3 + 12 = 3*s. Suppose 20 = s*o - 5*r, 3*o - 3 = r + 5. Factor 0 + 2*j**o + 1/4*j + 4*j**3.
j*(4*j + 1)**2/4
Let j(q) be the third derivative of -q**7/105 - q**6/20 + q**5/30 + q**4/4 - 2*q**2. Factor j(y).
-2*y*(y - 1)*(y + 1)*(y + 3)
Let y(b) = -b**2 + 4*b + 1. Let j(a) = -a + 1. Let u be j(-3). Let r be y(u). Find x such that 2*x**3 + 1 - 2*x - r = 0.
-1, 0, 1
Let v = 6 - 4. Suppose -2*l - 3*s = 3 + 4, -5*s - 17 = v*l. Factor 0 + 0*t**5 - 4*t**3 - 2*t**5 - 4*t**2 - 2 + 6*t**l + 6*t.
-2*(t - 1)**4*(t + 1)
Let s(m) be the third derivative of -m**7/140 - m**6/120 + m**5/40 + m**4/24 + 6*m**2. Factor s(t).
-t*(t - 1)*(t + 1)*(3*t + 2)/2
Factor 15 - 80*f + 2 + 3 + 25*f**2 + 35*f**3.
5*(f - 1)*(f + 2)*(7*f - 2)
Let j(s) be the first derivative of -s**6/75 - s**5/25 + 2*s**3/15 + s**2/5 - 2*s + 1. Let n(i) be the first derivative of j(i). Factor n(y).
-2*(y - 1)*(y + 1)**3/5
Factor -3 - 2 + 6*r**3 - 12*r + 5 - 14*r**2.
2*r*(r - 3)*(3*r + 2)
Let b(z) be the first derivative of 1/6*z**2 + 0*z + 4/9*z**3 + 4. Suppose b(r) = 0. What is r?
-1/4, 0
Factor -4/5*z**2 - 16/5*z - 12/5.
-4*(z + 1)*(z + 3)/5
Solve -5/2*d**2 + 5/2*d**3 - 1/4 + 1/4*d**5 - 5/4*d**4 + 5/4*d = 0.
1
Let i be 4 - (-6)/(-4)*(-21)/(-9). Determine u so that u - 1/2*u**2 - i = 0.
1
Let m(a) = -a**5 - 6*a**4 + 4*a**3 + 9*a**2 - 5. Let f(t) = t**5 + 7*t**4 - 4*t**3 - 10*t**2 + 6. Let r(g) = 5*f(g) + 6*m(g). Factor r(q).
-q**2*(q - 2)*(q + 1)*(q + 2)
Let h(l) be the first derivative of -4*l - 32/3*l**3 - 1/3*l**6 - 1 - 12/5*l**5 - 7*l**4 - 9*l**2. Factor h(f).
-2*(f + 1)**4*(f + 2)
Let k(i) = 17*i**3 - 16*i**2 - 7*i - 13. Let a(z) = -4*z**3 + 4*z**2 + 2*z + 3. Let n(r) = 26*a(r) + 6*k(r). Factor n(w).
-2*w*(w - 5)*(w + 1)
Let l(c) = 320*c**2 + 1065*c - 595. Let z(n) = 29*n**2 + 97*n - 54. Let g(a) = -6*l(a) + 65*z(a). Factor g(r).
-5*(r + 3)*(7*r - 4)
Let d(v) be the second derivative of v**4/12 - 2*v. Let a(c) = 81*c**3 - 43*c**2 - 32*c - 4. Let n(y) = -3*a(y) + 6*d(y). Factor n(i).
-3*(i - 1)*(9*i + 2)**2
Let s(b) be the third derivative of -b**5/270 - b**4/54 + b**3/9 + 21*b**2. Solve s(a) = 0 for a.
-3, 1
Let q(y) be the third derivative of y**7/1890 - y**6/360 + y**5/540 + y**4/72 - y**3/27 - 13*y**2. Suppose q(x) = 0. What is x?
-1, 1, 2
Let d(z) = -3*z**4 - 12*z**3 - 4*z**2 + 12*z. Let m(f) = -2*f**4 - 8*f**3 - 3*f**2 + 8*f. Let u(v) = -5*d(v) + 7*m(v). Solve u(i) = 0 for i.
-4, -1, 0, 1
Factor 4*n - 24 + 1/3*n**3 + 10/3*n**2.
(n - 2)*(n + 6)**2/3
Find b such that 3*b**3 + b**3 + 4 - 9*b**2 + 3*b**3 - 12*b + 0*b**3 = 0.
-1, 2/7, 2
Let f = 14411/2 - 7362. Let w = -2175/14 - f. Find l, given that -2/7 + 8/7*l - 12/7*l**2 + w*l**3 - 2/7*l**4 = 0.
1
Let l(p) = 3*p**4 - 18*p**3 - 18*p**2 - 18*p + 18. Let x(m) = m**4 - 5*m**3 - 5*m**2 - 5*m + 5. Let d(b) = 5*l(b) - 18*x(b). What is r in d(r) = 0?
0
Let o(g) be the third derivative of 0*g**3 + 0*g**4 + 1/480*g**6 + 0 + 1/840*g**7 + 0*g - 1/1344*g**8 - 1/240*g**5 - 2*g**2. Suppose o(v) = 0. What is v?
-1, 0, 1
Let q = -1 + 9. Suppose -4*a + q = 4*s, -3*a + 0*a = -3*s - 6. What is h in h**3 + h - 2*h**a - 2*h**3 + 3*h**2 - 1 = 0?
-1, 1
Let k(q) be the first derivative of -1/4*q**4 + 0*q**2 + 0*q + 3 - 1/3*q**3. Factor k(g).
-g**2*(g + 1)
Let a be (-1281)/(-196)*4 + -1. What is s in 58/7*s**4 + 272/7*s**2 + 32/7 - 184/7*s**3 - a*s - s**5 = 0?
2/7, 2
Let f(h) = h**2 - 4*h + 3. Let d be f(2). Let q = 1 + d. Determine s, given that -2/5*s**5 - 2/5*s**4 + q*s + 2/5*s**3 + 2/5*s**2 + 0 = 0.
-1, 0, 1
Suppose 0 = -v - 4*z - 7, -10 = -0*v - 2*v - 2*z. Let f(d) = d - 1. Let c be f(3). Factor c*q - v - 2*q**2 + 9.
-2*q*(q - 1)
Suppose 2*y + 5*p - 23 = -0*y, 2*y - 20 = -2*p. Let c be (y - 8)*(-6)/(-21). Suppose -16/7*z + 8/7 + 2/7*z**2 - c*z**5 + 10/7*z**3 - 2/7*z**4 = 0. Calculate z.
-2, 1
Suppose 0*b = 3*b - 9. Suppose -b*x = -5*y - 48, x + y - 24 = -0*y. Factor -12*s**5 - 3*s + 3*s - x*s**4 - 10*s**2 - 6*s**3 + 13*s**2.
-3*s**2*(s + 1)**2*(4*s - 1)
Let z(g) be the first derivative of -3*g**4/4 + 9*g**2/2 + 6*g + 10. What is a in z(a) = 0?
-1, 2
Let z be 3 + 42/12 - -4. Let 0*k - 3*k**2 + 15/2*k**3 + 0 + z*k**4 = 0. What is k?
-1, 0, 2/7
Factor 2/3*t**3 - 4/3*t**2 - 2*t + 0.
2*t*(t - 3)*(t + 1)/3
Let p be ((-45)/6)/5*-2. Solve 2*h**3 + 4*h**4 - 3*h**4 - h**p + 0*h**3 = 0 for h.
-1, 0
Let o(a) be the third derivative of a**7/525 + a**6/100 + a**5/75 + 44*a**2. Factor o(i).
2*i**2*(i + 1)*(i + 2)/5
Let p(q) = 2*q - 17. Suppose 0 = 2*v - 5*v + 30. Let y be p(v). Factor -12*b**2 + 3/4*b**5 + 12*b**y - 5*b**4 + 0 + 4*b.
b*(b - 2)**3*(3*b - 2)/4
Let a(h) = 3*h**3 + 5*h**2 + 2*h + 8. Let d(x) = -x**3 - 2*x**2 - x - 3. Let r(w) = -3*a(w) - 8*d(w). Factor r(y).
-y*(y - 2)*(y + 1)
Let t = 18913/1146 - 2/573. Let i = 17 - t. Solve -1/4*h - 1/4*h**3 + i*h**2 + 0 = 0.
0, 1
Find g such that -5/3*g**2 - 2/3 + 7/3*g = 0.
2/5, 1
Let p(g) = g**4 - 6*g**3 - g**2 + 4*g + 2. Let d(q) = 6*q**3 - 3*q - 3. Let h(o) = 2*d(o) + 3*p(o). Find a such that h(a) = 0.
-1, 0, 1, 2
Let t(c) be the first derivative of c**8/840 + c**7/210 - c**5/30 - c**4/12 - c**3/3 - 1. Let f(w) be the third derivative of t(w). Factor f(j).
2*(j - 1)*(j + 1)**3
Let i(p) be the first derivative of -p**4/18 + p**2/9 - 3. Factor i(z).
-2*z*(z - 1)*(z + 1)/9
Let d(g) = 2*g**2 - 3*g + 1. Let h be d(2). Factor 2 - 2*r - 5*r**2 + 4*r**2 - 2*r**5 + 2*r**4 + 4*r**h - 3*r**2.
-2*(r - 1)**3*(r + 1)**2
Let k(m) be the first derivative of -m**7/126 + m**6/30 - m**5/30 - m**4/18 + m**3/6 - m**2/6 + 3*m - 4. Let i(w) be the first derivative of k(w). Factor i(c).
-(c - 1)**4*(c + 1)/3
Let z(l) be the second derivative of 0*l**2 + 0 - 3/40*l**4 - 1/100*l**5 + 1/600*l**6 + 1/6*l**3 + l. Let o(y) be the second derivative of z(y). Factor o(i).
3*(i - 3)*(i + 1)/5
Suppose 12 = 3*p - 5*z - 10, -5*p + 3*z = -26. Let v = p - 2. Factor f - 6*f**4 - 7*f**3 - v*f**2 + 2*f**4 + 0*f.
-f*(f + 1)**2*(4*f - 1)
Let c(z) be the second derivative of z**4/3 + 4*z**3/3 + 2*z**2 - 3*z. Find d, given that c(d) = 0.
-1
Suppose 0 = -s + 3*a + 24, -4*s = a + a - 152. Find l, given that 2 + 126*l**3 + 109*l**2 + 2 + 49*l**4 + s*l + 0 = 0.
-1, -2/7
Let l(b) = b**5 + 5*b**4 + 5*b**3 + b**2 - 2*b + 2. Let r(s) = 4*s**4 + 5*s**3 + s**2 - 3*s + 3. Let m(c) = 6*l(c) - 4*r(c). Determine d, given that m(d) = 0.
-1, -1/3, 0
Let v = -1 - -3. Let s = v + 1. Let -2*y**3 + y**2 + 3*y + 2*y**2 + s*y**3 + 1 = 0. Calculate y.
-1
Let u(z) be the first derivative of 2*z**5 + z**4 - 2*z**2 + 6*z + 1. Let g(i) = 3 - 2*i - 2*i**4 + 3*i - i**3 - 4. Let t(d) = -16*g(d) - 3*u(d). Factor t(w).
2*(w - 1)*(w + 1)**3
Let d be (-13)/(-18) - 1/((-18)/(-4)). Suppose 1/2*z**3 - 1/2 - d*z + 1/2*z**2 = 0. Calculate z.
-1, 1
Let s(f) be the first derivative of -2*f**5/35 + f**4/7 + 2*f**3/21 - 2*f**2/7 - 2. Factor s(o).
-2*o*(o - 2)*(o - 1)*(o + 1)/7
Let a(b) = -2*b**2 - 24*b. Let y be a(-12). Let c(n) be the second derivative of -1/4*n**4 - n - 3/20*n**5 + y*n**2 + n**3 + 0. Factor c(r).
-3*r*(r - 1)*(r + 2)
Let i = -387/986 - -11/34. Let c = 33/58 + i. Find b, given that -c*b**5 + 1/2*b**2 + 0 + 0*b - 1/2*b**4 + 1/2*b**3 = 0.
-1, 0, 1
Let d(p) be the second derivative of p**8/5880 + p**7/735 + p**6/252 + p**5/210 - 2*p**3/3 - 4*p. Let l(m) be the second derivative of d(m). Factor l(o).
2*o*(o + 1)**2*(o + 2)/7
Let w(l) be the third derivative of 3*l**2 + 0*l**4 + 0*l - 1/120*l**5 + 0 + 0*l**3. Factor w(h).
-h**2/2
Let i(n) be the third derivative of n**6/132 + 16*n**5/165 + 19*n**4/44 + 6*n**3/11 - 6*n**2. Factor i(y).
2*(y + 3)**2*(5*y + 2)/11
Let u(g) = -g**3 + 3*g**2 + 6*g - 6. Let t be u(4). Suppose 0 = t*i + 6*i - 16. What is q in -2/5*q**i - 4/5*q + 0 = 0?
-2, 0
Factor -5*c**2 + 0 - 5/3*c**3 + 0*c.
-5*c**2*(c + 3)/3
Let b(u) = -u**4 + u**3 - 1. Let i(k) = 6*k**4 - 10*k**3 + 2*k**2 + 6*k. Let q(f) = 4*b(f) + i(f). Factor q(z).
2*(z - 2)*(z - 1)**2*(z 