+ 2)*(7*q + 2)
Let k(b) = 7*b**4 - 35*b**3 + 10*b**2 - 2*b - 2. Let g(o) = 28*o**4 - 139*o**3 + 40*o**2 - 9*o - 9. Let d(f) = 2*g(f) - 9*k(f). Suppose d(x) = 0. What is x?
0, 2/7, 5
Suppose 10 = 4*n - 2*i, -31*i + 34*i = 3. Factor -2/11*l - 4/11*l**2 + 0 - 2/11*l**n.
-2*l*(l + 1)**2/11
Suppose -60 = -3*l - 2*l. Let r be (1/(-3))/((-2)/l). Factor 32*n**r + 3 - 5 + 4 + 16*n.
2*(4*n + 1)**2
Factor -94*b**4 + 52*b**4 + 4*b**5 + 54*b**4 - 16*b**3.
4*b**3*(b - 1)*(b + 4)
Factor -2/11*f**3 + 0 + 6/11*f**2 + 0*f.
-2*f**2*(f - 3)/11
Let n(q) be the first derivative of -1 - 1/54*q**4 - 1/45*q**5 - 1/135*q**6 + 0*q**3 + 0*q**2 + 2*q. Let h(w) be the first derivative of n(w). Factor h(c).
-2*c**2*(c + 1)**2/9
Let t(m) be the first derivative of -m**4/30 - m**3/15 + 2*m**2/5 - 2*m - 2. Let l(a) be the first derivative of t(a). Find p, given that l(p) = 0.
-2, 1
Let d be (22/(-7) - -3) + (-62)/(-14). Factor 72/7*p**2 - d*p - 54/7*p**3 + 4/7.
-2*(3*p - 2)*(3*p - 1)**2/7
Let i(h) be the second derivative of -h**4/6 + h**3 - 2*h**2 - 10*h. Factor i(p).
-2*(p - 2)*(p - 1)
Let w be -1*(-2 + 0 - -2). Suppose w - 2/5*k + 8/5*k**2 = 0. What is k?
0, 1/4
Factor -1/10*y**2 - 3/5 + 1/2*y.
-(y - 3)*(y - 2)/10
Let v(l) = -20*l**2 + 12*l + 5. Let r(f) = 3*f**2 + 4*f - 3 + 3 - 10*f**2 + 2. Let o be 484/28 - 2/7. Let n(g) = o*r(g) - 6*v(g). Suppose n(q) = 0. Calculate q.
2
Let z(j) be the first derivative of 5*j**4/12 - 17*j**3/9 + 8*j**2/3 - 4*j/3 - 9. Factor z(l).
(l - 2)*(l - 1)*(5*l - 2)/3
Let i = 35 - 104/3. Let q(g) be the third derivative of 0*g + i*g**3 + 0*g**4 + 0 - 1/30*g**5 + g**2. Factor q(w).
-2*(w - 1)*(w + 1)
Suppose 5*s - 16 = 19. Solve s*l**3 + 9*l**2 + 2 - 3 - 3 + 4*l - 16*l = 0 for l.
-2, -2/7, 1
Let q(x) be the third derivative of -x**2 + 0*x**7 + 0*x + 1/300*x**6 + 0 - 1/840*x**8 + 0*x**3 + 0*x**4 + 0*x**5. Solve q(m) = 0.
-1, 0, 1
Determine m, given that 4*m**3 + 3*m**4 + 4*m**4 + 0*m**4 - 4*m**2 - 4*m**5 - 3*m**4 = 0.
-1, 0, 1
Let t(f) be the first derivative of -2*f**3 + 2*f**2 - f + f**4 - 1/5*f**5 + 3. Solve t(a) = 0.
1
Let g(t) be the first derivative of -t**7/3360 + t**6/480 - t**5/240 - 2*t**3/3 - 2. Let s(v) be the third derivative of g(v). Suppose s(i) = 0. Calculate i.
0, 1, 2
Let l(n) be the first derivative of 2*n**3 + 0*n + 7/6*n**4 + 2/3*n**2 + 2. Find m such that l(m) = 0.
-1, -2/7, 0
Factor -5045*k**2 + 4*k + 36 - 9*k + 5049*k**2 + 29*k.
4*(k + 3)**2
Let f(w) = -w**2 + 5*w - 1. Suppose 4*k - p - 7 = 7, 2 = p. Let c be f(k). Factor 2/7*h**c + 0 - 4/7*h**2 + 0*h.
2*h**2*(h - 2)/7
Let q(g) be the first derivative of -16/7*g - 36/7*g**3 + 27/14*g**4 + 36/7*g**2 - 3. Factor q(m).
2*(3*m - 2)**3/7
Let n(i) be the first derivative of i**5/10 + i**4/8 - i**3/6 - i**2/4 + 17. Find l, given that n(l) = 0.
-1, 0, 1
Let s = 1 - 2. Let r = 1 + s. Factor -1 + z**2 + 0 + r*z**2.
(z - 1)*(z + 1)
Factor 12/7*y + 4/7*y**2 + 0.
4*y*(y + 3)/7
Factor -6*g + 5*g - 3*g - 4*g**2 + 16*g.
-4*g*(g - 3)
Determine m, given that 1/2*m**2 + 1/2*m + 0 = 0.
-1, 0
Let j(w) be the second derivative of 13*w**5/10 - w**4/3 - 13*w**3/3 + 2*w**2 + 15*w. What is c in j(c) = 0?
-1, 2/13, 1
Suppose 7*u + 14 = 14*u. Factor 1/2 + 3/4*q - 3/4*q**3 - 1/4*q**u - 1/4*q**4.
-(q - 1)*(q + 1)**2*(q + 2)/4
Let z(c) = 2*c**3 - 3*c**2 - c + 2. Let g be z(1). Let y(d) be the second derivative of 1/8*d**2 + d + g*d**3 - 1/48*d**4 + 0. Factor y(h).
-(h - 1)*(h + 1)/4
Let o(m) be the third derivative of m**7/210 + m**6/40 + 4*m**2. Factor o(c).
c**3*(c + 3)
Let g(y) be the third derivative of y**5/30 - y**3/3 + 12*y**2. Factor g(l).
2*(l - 1)*(l + 1)
Factor 18/11*l**2 - 14/11*l - 10/11*l**3 + 4/11 + 2/11*l**4.
2*(l - 2)*(l - 1)**3/11
Let o(a) = -9*a**2 + 27*a + 36. Let w(i) = 4*i**2 - 14*i - 18. Let q(j) = -2*o(j) - 5*w(j). Factor q(n).
-2*(n - 9)*(n + 1)
Let p = 31 - 153/5. Suppose -4*x + 8*x = 0. Factor x*u - 2/5 + p*u**2.
2*(u - 1)*(u + 1)/5
Let k(h) be the second derivative of 0*h**5 + 1/480*h**6 - h + 1/2*h**2 + 0*h**4 + 0*h**3 + 0. Let c(w) be the first derivative of k(w). Factor c(z).
z**3/4
Let r(d) = d**3 + 9*d**2 - 10*d + 2. Let c be r(-10). Let a(s) be the first derivative of -1/12*s**3 + 0*s + c + 0*s**2. Determine t so that a(t) = 0.
0
Let p = -7 + 11. Suppose 0 = p*w + 16, -4*m + 0*w = 3*w - 4. Suppose 4*i**2 - 2/5*i**5 + 2/5 - m*i**3 - 2*i + 2*i**4 = 0. Calculate i.
1
What is z in 0 - 192*z**2 + 260*z**3 - 100/3*z**4 + 112/3*z = 0?
0, 2/5, 7
Let g(q) be the first derivative of q**6/150 - q**5/100 + q + 1. Let c(z) be the first derivative of g(z). Factor c(d).
d**3*(d - 1)/5
Let x(q) be the second derivative of -q**4/12 - q**3/3 - q**2/2 + 9*q. Factor x(l).
-(l + 1)**2
Let m(z) be the first derivative of 1/3*z**2 - 1 + 2*z - 2/9*z**4 - 1/3*z**3. Let t(f) be the first derivative of m(f). Determine r so that t(r) = 0.
-1, 1/4
Let o be (4/(-6))/(4/(-24)). Suppose o*f + 2 - 18 = 0. Factor -2/9*h**f + 8/9*h - 2/9 + 8/9*h**3 - 4/3*h**2.
-2*(h - 1)**4/9
Let r be (-6)/(-24) - (-478)/456. Let b = r - 12/19. Determine d, given that 0*d**3 + 4/3*d**2 - 2/3*d**5 - 4/3*d**4 + b*d + 0 = 0.
-1, 0, 1
Suppose 0 = -10*r + 4*r + 12. Find y, given that -4/5*y - 2/5 - 2/5*y**r = 0.
-1
Let w = 5 - 5. Let v = w - -2. Let 0*d**2 + 6*d - 4 - 3*d**v + d**2 = 0. What is d?
1, 2
Let p be 7/(-3) - 3/(-9). Let k be (-2*p/(-16))/(-1). Find r, given that -1/2 + 1/2*r**2 - 1/4*r**3 + k*r = 0.
-1, 1, 2
Let k be (1 - 3)/(2/(-11)). Factor -x**4 - k*x + 11*x.
-x**4
Let t(c) = c**3 + 9*c**2 - 8*c + 7. Let k be t(-10). Let v = -63/5 - k. Factor 8/5*s**3 + 8/5*s - 2/5 - 12/5*s**2 - v*s**4.
-2*(s - 1)**4/5
Suppose -5*f = -3*l - 16, 2*f - 6 = -93*l + 94*l. Factor 0*h + 0 - 1/3*h**f.
-h**2/3
Let r(f) = f**3 - 9*f**2 - 8*f - 6. Let x be r(10). Let o = 28 - x. Factor 2 + o*j**2 + 9*j + 2*j**3 + 3*j**3 - 2*j**2.
(j + 1)**2*(5*j + 2)
Let t(h) = -15*h**4 + 15*h**3 + 15*h**2 - 20*h + 5. Let x(p) = 16*p**4 - 16*p**3 - 15*p**2 + 20*p - 5. Let w(j) = 4*t(j) + 5*x(j). Determine y so that w(y) = 0.
-1, 1/2, 1
Let t(k) = k**2 + k - 4. Let l be t(-3). Let m be (-8)/(-2) - (0 + -1). Solve 0*b**l + 2/3*b**m + 0*b + 2/3*b**3 + 0 + 4/3*b**4 = 0 for b.
-1, 0
Let p(c) be the third derivative of -c**7/273 - c**6/60 - 3*c**5/130 + c**4/156 + 2*c**3/39 + 11*c**2. Solve p(f) = 0.
-1, 2/5
Factor 2/3*r**3 + 0 - 2/3*r - 2/3*r**2 + 2/3*r**4.
2*r*(r - 1)*(r + 1)**2/3
Let z(j) be the third derivative of j**5/12 + 5*j**4/2 + 30*j**3 - 11*j**2. Factor z(a).
5*(a + 6)**2
Let n = -22 + 28. Let q(i) = -i**3 - 4*i**2 - i - 2. Let l be q(-4). Let 11*c**3 - n*c**5 + 5*c**4 + 4*c**l - 9*c**3 - 13*c**4 = 0. What is c?
-1, 0, 2/3
Let h = -2 - -7. Let s(q) be the second derivative of -1/10*q**6 + 0*q**h + 0*q**2 - 2*q + 0 + 0*q**3 - 1/21*q**7 + 1/12*q**4. Factor s(y).
-y**2*(y + 1)**2*(2*y - 1)
Let p(i) = 2*i**2 - 4*i + 2. Let o(v) = 4*v**2 - 9*v + 5. Suppose 0 = -3*f - 7 + 1. Let u(y) = f*o(y) + 5*p(y). Let u(c) = 0. Calculate c.
0, 1
Let l(h) be the third derivative of -h**8/40320 + h**7/15120 + h**6/4320 - h**5/720 - h**4/6 - 5*h**2. Let f(n) be the second derivative of l(n). Factor f(d).
-(d - 1)**2*(d + 1)/6
Let j(b) be the second derivative of -b**5/60 - 2*b. Determine d, given that j(d) = 0.
0
Let k(b) be the second derivative of b**5/5 - b**4/3 - 2*b**3/3 + 2*b**2 + 4*b. Factor k(c).
4*(c - 1)**2*(c + 1)
Factor 27/2*f**2 - 3*f**3 + 0*f + 1/6*f**4 + 0.
f**2*(f - 9)**2/6
Determine x so that 5*x**5 - 41*x**3 + 13*x**3 - 5*x**4 + 4*x**2 + x**2 + 10*x + 13*x**3 = 0.
-1, 0, 1, 2
Let z(o) be the first derivative of 0*o - 1/2*o**4 + 2/3*o**3 + 0*o**2 + 3. Find q such that z(q) = 0.
0, 1
Let u be (-8)/44 + 0 + (-140)/(-528). Let t(a) be the first derivative of 1 + 1/8*a**4 - 1/10*a**5 + 1/6*a**3 + 0*a - u*a**6 + 0*a**2. Factor t(m).
-m**2*(m - 1)*(m + 1)**2/2
Let y(q) be the first derivative of q**4/4 - q**3 + q**2 - 12. Find d, given that y(d) = 0.
0, 1, 2
Let z be 3 - (-2 + 4 - 1). Solve 6*r**3 - 2*r**4 - r**z + r**4 - 4*r**3 = 0 for r.
0, 1
Let x(k) = 2*k**2 - k + 3. Let d(l) = -4*l**2 + l - 5. Let o(m) = 3*d(m) + 5*x(m). Suppose o(n) = 0. Calculate n.
-1, 0
Let q(k) be the first derivative of -1/2*k + 1/8*k**2 + 1/12*k**3 + 2. Factor q(o).
(o - 1)*(o + 2)/4
Suppose 6*a - 12 + 0 = 0. Factor -9*b**2 - 11*b**a + 20*b**3 + 28*b**4 + 12*b**2.
4*b**2*(b + 1)