actor -9/4*b**l - 1/4 - 3/2*b.
-(3*b + 1)**2/4
Let c(q) = 9*q**5 - 16*q**4 - 4*q**3 - 4*q**2 - 4*q. Let k(a) = a**2 + a. Let v(o) = -c(o) - 4*k(o). Suppose v(l) = 0. Calculate l.
-2/9, 0, 2
Factor 1/2*n + 0 + 0*n**2 - 1/2*n**3.
-n*(n - 1)*(n + 1)/2
Let l(t) be the second derivative of -2*t**6/45 + t**5/5 - t**4/3 + 2*t**3/9 - 13*t. Find j, given that l(j) = 0.
0, 1
Let z(c) be the second derivative of c**8/9240 - c**7/4620 - c**6/990 + c**3/6 + 3*c. Let d(f) be the second derivative of z(f). Find r such that d(r) = 0.
-1, 0, 2
Suppose -336/5*i**3 + 176/5*i**2 + 98/5*i**4 + 32/5 + 192/5*i = 0. Calculate i.
-2/7, 2
Let t(m) = m**3 - 6*m**2 + 7*m - 6. Let w be t(5). Let l(a) be the first derivative of -2/9*a**3 + 0*a - w - 1/12*a**4 - 1/6*a**2. Solve l(x) = 0 for x.
-1, 0
Let m = 1031/7 - 147. Factor 8/7*y + 8/7 + m*y**2.
2*(y + 2)**2/7
Factor -t**3 + 89*t**2 - 89*t**2 + t.
-t*(t - 1)*(t + 1)
Factor 0 - 2/5*c + 1/5*c**2.
c*(c - 2)/5
Let f(g) = -12*g**2 - 9*g. Let q(s) = s**3 - 25*s**2 - 19*s. Let u(a) = -7*f(a) + 3*q(a). Factor u(t).
3*t*(t + 1)*(t + 2)
Let f(x) = x**5 - x**2 + x - 1. Let d(y) = -54*y**5 + 90*y**4 - 48*y**3 + 12*y**2 - 4*y + 4. Let q(r) = -d(r) - 4*f(r). Find o such that q(o) = 0.
0, 2/5, 1
Let k(r) be the second derivative of 0*r**3 + 0 - 1/105*r**7 + 0*r**2 - 3*r + 1/50*r**5 + 1/75*r**6 - 1/30*r**4. Factor k(w).
-2*w**2*(w - 1)**2*(w + 1)/5
Let a(r) be the first derivative of -r**7/3360 - r**6/720 - r**5/480 - r**3/3 - 1. Let u(s) be the third derivative of a(s). Factor u(p).
-p*(p + 1)**2/4
Let d = 7 + -5. Factor -13*h**3 + 6*h**4 + 13*h**3 - 8*h**2 - d*h**5.
-2*h**2*(h - 2)**2*(h + 1)
Let b(i) = 5*i**2 + 6*i + 9. Let q(y) = -y**2 - 1. Let f(l) = 3*b(l) + 12*q(l). Suppose f(g) = 0. What is g?
-5, -1
Let p(q) be the third derivative of -q**6/540 + q**4/36 + 2*q**3/27 + 7*q**2. Factor p(i).
-2*(i - 2)*(i + 1)**2/9
Let w(x) be the second derivative of x**6/75 - x**5/50 - x**4/30 + x**3/15 + 10*x. Determine m so that w(m) = 0.
-1, 0, 1
Let z(x) = x**3 + 2*x**2 - 3*x. Let s be 3/12 - (-34)/(-8). Let q be 1 + (1 - -11)/3. Let v(a) = a**3 + 3*a**2 - 4*a. Let n(y) = q*z(y) + s*v(y). Factor n(o).
o*(o - 1)**2
Let m(s) be the first derivative of -35*s**6/18 + 5*s**5/3 + 20*s**4/3 + 20*s**3/9 - 9. Determine r, given that m(r) = 0.
-1, -2/7, 0, 2
Let l(f) be the third derivative of 1/6*f**3 + 1/20*f**5 + 1/6*f**4 + 0 + 1/180*f**6 + 0*f - 3*f**2. Let m(d) be the first derivative of l(d). Factor m(h).
2*(h + 1)*(h + 2)
Suppose 0 = 12*d + 7*d - 38. Find m, given that 0 - 2/3*m**3 + 8/3*m**d - 2*m = 0.
0, 1, 3
Let j(h) = 2*h**2 - 8*h - 21. Let o be j(6). Determine w so that 0 - 3*w**2 - 9/2*w**o - 3/4*w - 3*w**4 - 3/4*w**5 = 0.
-1, 0
Let p be -5 + 1 + 2 + 2. Let b(v) be the third derivative of 0*v + 1/270*v**5 + 2/27*v**3 - 1/36*v**4 - 2*v**2 + p. Factor b(j).
2*(j - 2)*(j - 1)/9
Let g be (-10)/(-35) + (-66)/(-14). Suppose -g*s + 47 = 3*b, -3*s - 6*b + b = -41. Factor -f + 3 - f**2 - 3*f - s.
-(f + 2)**2
Suppose 0 = -5*c + c. Let j(y) = y**3 + y**2 + y + 3. Let f be j(c). Determine p, given that -2*p + 3*p + p**f - 5*p**2 + 3*p**2 = 0.
0, 1
Let t = -5 + 11. Let b be t/(-105)*-5 + 0. Determine m so that b + 4/7*m + 2/7*m**2 = 0.
-1
Let k(j) be the second derivative of -j**5/110 - j**4/66 - 4*j. Determine x, given that k(x) = 0.
-1, 0
Let n(h) be the third derivative of h**7/280 + h**6/360 - h**5/40 - h**4/24 - 2*h**3/3 - 6*h**2. Let c(s) be the first derivative of n(s). Factor c(w).
(w - 1)*(w + 1)*(3*w + 1)
Let k be (-1)/(-3)*(3 - 2). Let p(y) be the first derivative of -16/3*y**5 + 25/9*y**3 + 1 + 5/3*y**2 + 32/9*y**6 + k*y - 5/3*y**4. Factor p(t).
(t - 1)**2*(4*t + 1)**3/3
Let p(d) = 2*d**3 - 26*d**2 + 62*d - 36. Let y(f) = -8 - 33*f - 154*f + 77*f**2 - 5*f**3 + 116. Let l(u) = -7*p(u) - 2*y(u). Factor l(s).
-4*(s - 3)**2*(s - 1)
Let s(j) = -j**3 + 6*j**2 - 5*j + 3. Let f be s(5). Find d such that -4*d**3 - 7 + 2 - 3*d + 5*d**3 + f = 0.
-1, 2
Let u = -2608/15 - -174. Let c(x) be the first derivative of -2 + 0*x**2 + 2/5*x - u*x**3. Factor c(v).
-2*(v - 1)*(v + 1)/5
Let h be (-77)/(-11)*1/1. Solve -4*y**5 - h*y**5 + 3*y**5 - 2*y**3 + 0*y**4 - 10*y**4 = 0 for y.
-1, -1/4, 0
Suppose -15*b + 11*b = 0. Solve b + 0*m**2 + 0*m - 1/2*m**3 = 0.
0
Let h be 1 - ((-12)/15)/(6/(-5)). Let -2/3*y**2 + y**4 + 2/3*y**3 + h*y**5 - 1/3 - y = 0. Calculate y.
-1, 1
Determine j, given that -3/4*j + 1/4*j**4 + 3/4*j**3 + 1 - 5/4*j**2 = 0.
-4, -1, 1
Let j(i) = -i + 1. Let k be j(-3). Suppose -4*h = 5*p - 33, -k*p + 22 = -0*h + h. Factor -6*s - h*s**3 + 2*s**4 - 3*s**2 + 8*s + s**2.
2*s*(s - 1)**2*(s + 1)
Let f(g) be the first derivative of -3*g**6 + 24*g**5/5 + g**4 - 8*g**3/3 - g**2 + 15. Suppose f(x) = 0. What is x?
-1/3, 0, 1
Let b(t) be the third derivative of t**8/336 + t**7/210 - t**6/15 - t**5/5 - 7*t**2. Determine g so that b(g) = 0.
-2, 0, 3
Let w(p) = -8 + 4 + 3 + p. Let q(g) = 2*g**2 - 2*g. Let j(t) = -q(t) + 4*w(t). What is o in j(o) = 0?
1, 2
Let r = -58 - -62. Factor -1/2*j**2 + j**r + 1/2*j**3 + 0 + 0*j.
j**2*(j + 1)*(2*j - 1)/2
Let k = 641 + -639. What is r in r + 1/2 + 1/2*r**k = 0?
-1
Let o(v) be the second derivative of v**6/80 - v**5/12 + v**4/12 + 2*v**3/3 + v**2 - v. Let g(h) be the first derivative of o(h). Solve g(f) = 0 for f.
-2/3, 2
Let j(o) = 28*o**3 - 8*o**2 - 100*o - 64. Let x(q) = -q**4 + 55*q**3 - 15*q**2 - 199*q - 128. Let f(z) = -7*j(z) + 4*x(z). Factor f(p).
-4*(p - 4)**2*(p + 1)**2
Let u(p) be the first derivative of 1/7*p**2 + 2/21*p**3 - 1 + 1/42*p**4 + 2*p. Let z(o) be the first derivative of u(o). Factor z(x).
2*(x + 1)**2/7
Let q(i) = -4*i**2 - 145*i - 34. Let k be q(-36). Suppose -1/2*p + 1/6*p**k + 1/3 = 0. Calculate p.
1, 2
Let t be (-10)/15 + (88/18 - 4). Let m = 5 - 3. Let -2/9*u + t*u**m + 0 = 0. What is u?
0, 1
Factor 5*m + 3*m - 10*m - 4*m**2 + 2*m**3 + 4.
2*(m - 2)*(m - 1)*(m + 1)
What is l in -4/3*l**2 - 2/3*l + 0 = 0?
-1/2, 0
What is j in 0 + 2/11*j**2 + 2/11*j = 0?
-1, 0
Let r(a) = a**2 + 4*a + 2. Suppose -3*w = -4*c + 5 - 37, 5*c + 2*w = -17. Let i be r(c). Factor i*m + 5*m**2 - m**2 - 2 + 5*m**2.
(m + 1)*(9*m - 2)
Let t(w) be the first derivative of 2/15*w**3 - 1/75*w**6 - w + 1 + 0*w**4 - 1/25*w**5 + 1/5*w**2. Let q(c) be the first derivative of t(c). Factor q(h).
-2*(h - 1)*(h + 1)**3/5
Let x = 3/73 - -49/584. Factor x*h**3 - 1/8*h + 0 + 0*h**2.
h*(h - 1)*(h + 1)/8
Let a be (-8)/3*9/(-4). Let j = a + 0. Determine c, given that 5*c**2 - 4*c**3 - c**2 + j*c**3 + 2*c = 0.
-1, 0
Let p be ((-21)/14)/((-1)/2). Let x be -9*p/(-36)*2. What is h in -x*h**4 + 0 + 3*h**3 - 3/2*h**2 + 0*h = 0?
0, 1
Let p(i) = i**3 + 7*i**2 + 6*i + 6. Let a be p(-6). Let y = 29 + -19. Find h, given that -2*h**3 + a*h - 5*h + 14*h**5 - 38*h**4 + 56*h**2 + 15*h - y*h**3 = 0.
-1, -2/7, 0, 2
Let x(v) = -v**4 - v**3 + v**2 - v - 1. Let z(g) = g**5 + g**4 + 10*g**3 - 7*g**2 + 5*g + 5. Let m(r) = 5*x(r) + z(r). Factor m(a).
a**2*(a - 2)*(a - 1)**2
Let l(o) = 4*o + 6. Let u be l(3). Find s such that -s**5 + u*s**4 - 5*s**3 + 2*s**2 + 9*s**5 + 17*s**3 = 0.
-1, -1/4, 0
Suppose -3*r - 2 = -2*r. Let w be (2 + 2)*r/2. Let i(o) = -2*o**3 - 3*o**2 + 2*o. Let q(s) = 3*s**3 + 4*s**2 - 3*s. Let m(p) = w*i(p) - 3*q(p). Factor m(x).
-x*(x - 1)*(x + 1)
Factor -2/7*t**3 + 2/7 + 2/7*t - 2/7*t**2.
-2*(t - 1)*(t + 1)**2/7
Suppose -4*x - 9 + 29 = 0. Factor -15*o**2 + 3*o**3 - x + 2 + 15*o - 3 + 3*o**2.
3*(o - 2)*(o - 1)**2
Let z = -1011 + 19204/19. Let o = 3/133 - z. Determine m, given that -o - 6/7*m**2 - 2/7*m**3 - 6/7*m = 0.
-1
Let u(l) be the second derivative of 0*l**2 + 1/3*l**3 + 0 + 1/180*l**6 + l + 0*l**5 + 0*l**4. Let g(j) be the second derivative of u(j). Factor g(p).
2*p**2
Let p(d) = 33*d**2 + 9*d + 1. Let f(z) = 65*z**2 + 17*z + 2. Let b(h) = -3*f(h) + 7*p(h). Let b(s) = 0. What is s?
-1/6
Let j = 129 - 641/5. Suppose -6/5*x**2 + 14/5*x - j = 0. Calculate x.
1/3, 2
Let i(y) = y - 1. Let f(g) = -3*g**2 + 4*g + 11. Let q(n) = -f(n) - 2*i(n). Factor q(z).
3*(z - 3)*(z + 1)
Factor -5*j**4 - 3*j**3 + 3*j**2 - 2*j**2 + 4*j**3 + 3*j**5.
j**2*(j - 1)**2*(3*j + 1)
Let m(x) be the third derivative of -x**8/50400 - x**7/12600 + x**5/6 - 10*x**2. Let w(b) be the third derivative of m(b). Suppose w(f) = 0. What is f?
-1, 0
Let x(j) = -9*j**5 - 15*j**4 + 11.