Let q(g) = z*b(g) + 4*d(g). Factor q(o).
3*o**3
Let x(s) = 5*s**3 - 6*s**2 + s + 2. Let h(r) = 51*r**3 - 60*r**2 + 9*r + 21. Let d(o) = 2*h(o) - 21*x(o). Determine b so that d(b) = 0.
0, 1
Suppose 0 = 4*a + 3*y, 5*a = 3*y + 2*y. Suppose -3*g - g = a. Factor g + 0*t - 2/3*t**2 + 2/3*t**3.
2*t**2*(t - 1)/3
Let g be 7/(-150)*(-1)/7. Let d(a) be the second derivative of 0*a**2 + g*a**6 - 3*a + 1/100*a**5 + 0 - 1/60*a**4 - 1/30*a**3. Solve d(i) = 0.
-1, 0, 1
Let s be 6 - (-9)/(-12)*4. Suppose -15 + 17 + o**2 - s*o**2 = 0. Calculate o.
-1, 1
Let k(f) be the first derivative of -f**5/30 - 4*f**4/27 - 4*f**3/27 + 2*f + 3. Let i(u) be the first derivative of k(u). Suppose i(g) = 0. Calculate g.
-2, -2/3, 0
Let u(p) = -36*p**2 - 289*p - 889. Let t(m) = -7*m**2 - 58*m - 178. Let k(f) = -11*t(f) + 2*u(f). Factor k(y).
5*(y + 6)**2
Find p such that 1/3*p**4 + 8/3*p**3 - 16/3 - 8/3*p + 5*p**2 = 0.
-4, -1, 1
Suppose 8 = m - 1. Let g(z) = 3*z**2 + m*z + 0 - 3 + 4 + 2. Let y(u) = 2*u**2 + 5*u + 2. Let i(l) = -3*g(l) + 5*y(l). Solve i(d) = 0.
1
Let p be 2/(-18) + 7/21. Suppose 2/9*d**3 - p*d**4 - 2/9*d + 0 + 2/9*d**2 = 0. Calculate d.
-1, 0, 1
Suppose -2*n - 1 + 7 = 0. Let g(a) be the first derivative of -1/3*a - 1/18*a**6 - n - 2/9*a**3 + 1/5*a**5 + 1/2*a**2 - 1/6*a**4. Factor g(p).
-(p - 1)**4*(p + 1)/3
Let k(u) = u**2 - 5*u - 1. Let y(z) = -2*z**2 + 14*z + 2. Let o(r) = -14*k(r) - 5*y(r). Factor o(g).
-4*(g - 1)*(g + 1)
Let g(f) be the third derivative of -f**5/20 + f**4/4 + 3*f**3/2 - 3*f**2. Suppose g(u) = 0. What is u?
-1, 3
Let q(m) be the first derivative of 0*m - 1/12*m**3 + 1/16*m**4 + 1/20*m**5 - 1 - 1/8*m**2. Determine s so that q(s) = 0.
-1, 0, 1
Let l be 4/(-14) - (-18)/14. Suppose n - 1 = l. Determine b, given that 4/3 - 2*b**n - 2/3*b = 0.
-1, 2/3
Let c be 0 - -1 - 1/5. Let f = -37 + 37. Solve -2/5*l**5 + 0*l**3 - c*l**2 + 4/5*l**4 + 2/5*l + f = 0 for l.
-1, 0, 1
Let m = 2 - 0. Determine g, given that 6*g - 2 + m*g**4 - 13*g**3 - 2*g + 9*g**3 = 0.
-1, 1
Suppose -i = 2*i + 6. Let m = -2 + i. Let l(z) = -z**2 + 6*z + 4. Let a(g) = 2*g**2 - 11*g - 7. Let w(u) = m*a(u) - 7*l(u). Factor w(h).
-h*(h - 2)
Factor 0 + 75*y**4 - 181*y**2 + 25*y**4 + 41*y - 3 + 235*y**3.
(y + 3)*(4*y - 1)*(5*y - 1)**2
Let b(y) = -51*y**5 - 57*y**4 + 36*y**3 + 20*y**2 - 11*y - 1. Let d(a) = 0*a**4 + a**4 - a - a**5 + 1 + 0*a**5. Let n(r) = -b(r) - 3*d(r). Factor n(c).
2*(c + 1)**2*(3*c - 1)**3
Let c(a) be the first derivative of -4*a**3/3 + 4*a**2 + 12*a + 11. Solve c(d) = 0.
-1, 3
Let l be ((5/(-4))/(-5))/((-45)/(-72)). Let a(k) be the first derivative of 1 + 0*k**2 - k**4 - 2/3*k**3 - l*k**5 + 0*k. Factor a(h).
-2*h**2*(h + 1)**2
Factor 1/2*l**2 + 3*l + 9/2.
(l + 3)**2/2
Let n(j) be the first derivative of -2 + 0*j**3 - 1/7*j**2 + 1/14*j**4 + 0*j. Factor n(w).
2*w*(w - 1)*(w + 1)/7
Let z = -578 - -2892/5. Suppose 4*j - 5*m = 1, -2*j - 4 + 3 = -3*m. Find b, given that -2*b**3 + 16/5*b**2 + 0 + z*b**j - 8/5*b = 0.
0, 1, 2
Let a(g) be the third derivative of -g**6/480 + g**5/240 + g**4/48 + 4*g**2. Factor a(s).
-s*(s - 2)*(s + 1)/4
Determine a so that -18/5*a + 2/5*a**4 + 0 + 6*a**2 - 14/5*a**3 = 0.
0, 1, 3
Let z(l) = -l**4 + l**3 + l**2 - l - 1. Let n(u) = 49*u**5 - 128*u**4 + 111*u**3 - 34*u**2 + 2*u - 2. Let t(x) = 5*n(x) - 10*z(x). Factor t(v).
5*v*(v - 1)**2*(7*v - 2)**2
Let x(y) = -58*y + 7. Let d be x(3). Let i = d - -671/4. Find p such that -i*p**3 + 0 + 3/4*p**2 - 1/4*p + 1/4*p**4 = 0.
0, 1
Let i(x) be the third derivative of -1/120*x**4 + 1/300*x**5 + 0*x + 0*x**3 + 5*x**2 + 1/600*x**6 + 0 - 1/1050*x**7. Factor i(b).
-b*(b - 1)**2*(b + 1)/5
Suppose 0*d + 27 = 3*d. Let x be 12/27 + (-2)/d. Suppose 2/9 - 2/9*v + x*v**3 - 2/9*v**2 = 0. What is v?
-1, 1
Let c(d) be the first derivative of -d**5/50 - 7*d**4/40 - d**3/2 - 9*d**2/20 + 2. Solve c(i) = 0.
-3, -1, 0
Suppose 4*z = 8 + 16. Let i be z/(2/3*3). Factor 0 - 8 + i*r + 8 + 3*r**2.
3*r*(r + 1)
Let t be (-7 - -1)*3/(-5)*27. Factor 8/5 + 378/5*v**2 - 96/5*v - t*v**3.
-2*(3*v - 1)*(9*v - 2)**2/5
Suppose 0 = t - 0*j - j - 16, 4*j = 0. Suppose 7*p - t = -p. What is r in 2/7*r**p + 0 - 2/7*r = 0?
0, 1
Let u(r) = 20*r**2 + 9*r - 11. Let f(w) = -7*w**2 - 3*w + 4. Suppose -y - 8 = y. Let t(b) = y*u(b) - 11*f(b). Factor t(o).
-3*o*(o + 1)
Let c(f) be the third derivative of -f**7/45 - f**6/90 + 11*f**2. Factor c(t).
-2*t**3*(7*t + 2)/3
Let -8*m - 1/3*m**2 - 48 = 0. Calculate m.
-12
Let d(u) be the third derivative of u**8/5040 - u**6/1080 + u**3/3 + 2*u**2. Let g(i) be the first derivative of d(i). Factor g(z).
z**2*(z - 1)*(z + 1)/3
Let o be -1*16/32*(-9 + -1). Let j(u) be the third derivative of -2*u**2 + 0*u**o + 0 + 0*u + 0*u**7 + 0*u**3 + 0*u**4 + 0*u**6 - 1/112*u**8. Factor j(n).
-3*n**5
Let d(a) = -4*a + 2. Let x be d(2). Let h = x - -8. Suppose -j**4 - h*j**5 + 2*j**3 + 4*j**4 - j**4 - 2*j**2 + 0*j**4 = 0. Calculate j.
-1, 0, 1
Let h(i) be the first derivative of -2*i**3/15 - i**2 - 12*i/5 - 18. Let h(b) = 0. Calculate b.
-3, -2
Let t(p) be the third derivative of p**7/945 - p**6/540 - p**5/270 + p**4/108 + 21*p**2. Factor t(n).
2*n*(n - 1)**2*(n + 1)/9
What is y in 8*y**3 - 9*y + y**4 - 4*y**4 - 3*y + y**3 = 0?
-1, 0, 2
Let r(f) be the first derivative of -f**6/9 + 2*f**5/15 + 5*f**4/6 - 2*f**3/9 - 8*f**2/3 - 8*f/3 + 7. Factor r(o).
-2*(o - 2)**2*(o + 1)**3/3
Suppose -1 = -2*u + 3. What is d in -11*d**2 - d**u - 6 + 9*d - 36*d = 0?
-2, -1/4
Suppose -7*z = 3*z - 270. Let q be (z - 25)/(4/6). Find d, given that -2/3*d**4 + 0*d + 0*d**q + 0 + 0*d**2 = 0.
0
Let u(p) = 20*p**2 + 16*p. Let h(y) = y**3 + 19*y**2 + 15*y. Let m(d) = -4*h(d) + 3*u(d). Determine w, given that m(w) = 0.
-3, -1, 0
Factor 0*o**4 - 6/5*o**3 + 0 + 0*o**2 + 3/5*o**5 + 3/5*o.
3*o*(o - 1)**2*(o + 1)**2/5
Suppose -37 + 1 = -9*z. Let c(w) be the third derivative of -1/8*w**z + 0*w - 1/20*w**5 + 0 + 4*w**2 + 0*w**3. Factor c(l).
-3*l*(l + 1)
Suppose -10*h + 6 = -7*h. Factor 13*q**h + 13/2*q + 1 + 15/2*q**3.
(q + 1)*(3*q + 1)*(5*q + 2)/2
Suppose -10*d = -5*d + 25. Let h be 2/d*(-6 - -5). Solve -2/5*x**3 + 0 - 2/5*x**4 + h*x + 2/5*x**2 = 0 for x.
-1, 0, 1
Factor 4*l**3 - 13/4 - 1/4*l**4 + 10*l - 21/2*l**2.
-(l - 13)*(l - 1)**3/4
Let d = -56 - -56. Let t(k) be the third derivative of 0*k**4 + 0 + 0*k**3 - k**2 - 1/300*k**5 + d*k. Determine y, given that t(y) = 0.
0
Let a be (-1)/2 - 18/(-20). Let g = 571 + -571. Solve -4/5*u**3 + 0 + 2/5*u**2 + a*u**4 + g*u = 0.
0, 1
Solve -55*n + 2*n**2 + 20 - 58*n + 91*n = 0.
1, 10
Let h = -130 + 134. Let m(o) be the first derivative of 6*o + 1/18*o**h + 3*o**2 + 2/3*o**3 - 3. Factor m(t).
2*(t + 3)**3/9
Let x(o) = -10*o - 6. Let n(z) = z**2 - z. Let r(l) = -2*n(l) + x(l). Factor r(j).
-2*(j + 1)*(j + 3)
Let j(y) be the second derivative of 1/16*y**5 - 1/3*y**3 + 1/16*y**4 - 1/60*y**6 - 1/2*y**2 + 0 + 6*y. Solve j(c) = 0.
-1, -1/2, 2
Let d be (24/15)/((-6)/(-15)). Suppose 12*c + 11 + 12 + 12 - 27 + d*c**2 = 0. Calculate c.
-2, -1
Let b(c) = 2*c. Let m be b(1). Let v(a) be the third derivative of 0*a**3 + 0 - 1/36*a**4 + 0*a - 1/45*a**5 - 1/180*a**6 + 2*a**m. Find y such that v(y) = 0.
-1, 0
Suppose -4*x - 6 - 2/3*x**2 = 0. Calculate x.
-3
Let r be 631/(-6) + 13/78. Let w be (-408)/r - (-2)/(-7). Factor -6/5*m**3 + 4*m**2 + 4/5 - w*m.
-2*(m - 2)*(m - 1)*(3*m - 1)/5
Determine f so that -36*f - 94 - 2*f**2 - 103 + 35 + 0*f = 0.
-9
Let d(y) be the second derivative of y**4/28 + y**3/14 - 13*y - 1. Determine b so that d(b) = 0.
-1, 0
Let v(m) = 6*m**4 + 35*m**3 + 59*m**2 + 47*m + 12. Let r(l) = -18*l**3 - 24*l - 6 + 0 - 3*l**4 - 18*l**2 - 12*l**2. Let j(p) = 5*r(p) + 3*v(p). Factor j(d).
3*(d + 1)**3*(d + 2)
Let w(q) be the first derivative of 3*q**5/10 + 3*q**4/4 - 3*q**2/2 - 3*q/2 - 5. Find z such that w(z) = 0.
-1, 1
Let j(w) be the second derivative of -w**6/900 - w**5/150 - w**4/60 - 5*w**3/6 - 4*w. Let q(z) be the second derivative of j(z). Factor q(p).
-2*(p + 1)**2/5
Let y be 6 - ((4 - 0) + -1). Suppose 1/2*h**2 - 1/2*h**y - 1/2 + 1/2*h = 0. What is h?
-1, 1
Let i(a) be the second derivative of -11/70*a**5 - 1/7*a**2 + 0 + 4/105*a**6 + 3/14*a**4 - 2*a - 1/21*a**3. Factor i(k).
2*(k - 1)**3*(4*k + 1)/7
Let k(d) = 2*d**2 - 3*d + 9. Let y be k(6). Let q = y - 439/7. Factor -4/7*g + q*g**2 + 2/7.
2*(g - 1)**2/7
Let t = 