 - 195*h**2 - 657*h - 657. Let u(v) = 2*o(v) + 15*t(v). Solve u(m) = 0.
-4, -2
Let q be 1*(4 - (0 + 2)). Let v = -4/15 - -2/3. Determine p, given that -2/5*p**q - v + 4/5*p = 0.
1
Suppose 7*a - 3*a = 0. Let w = -1 - a. Let u(t) = 6*t**2 - 4*t - 1. Let n(f) = -f**2 + 1. Let v(h) = w*u(h) - 5*n(h). Factor v(p).
-(p - 2)**2
Suppose -3*l + 4 = -2*l. Let d be 6/l*12/9. Solve 2 + 2*u + 2*u - 2*u**d - 2 = 0.
0, 2
Suppose 2*f + 8 = 5*v - 0*f, 0 = -2*v + 5*f - 1. Factor 5 - v + 3 - c - 3*c**2 - 2*c.
-3*(c - 1)*(c + 2)
Let p(i) be the first derivative of 4/5*i**5 + 2 - 1/2*i**2 - 9/4*i**4 + 2*i**3 + 0*i. Factor p(z).
z*(z - 1)**2*(4*z - 1)
Let o(d) be the third derivative of d**6/50 + 17*d**5/75 + 14*d**4/15 + 8*d**3/5 + 47*d**2. Factor o(f).
4*(f + 2)*(f + 3)*(3*f + 2)/5
Let s(q) = -2*q + 4. Let h be s(-5). Let d be -2 - (-1)/(6/h). Factor 0 + 0*w + d*w**2.
w**2/3
Let m(h) be the third derivative of 1/2*h**3 + 9/80*h**5 + 5/8*h**4 + 0*h + 0 + 4*h**2. Solve m(d) = 0 for d.
-2, -2/9
Let d(h) be the first derivative of h**5/5 + h**4/3 - 4*h**3/3 - 5*h - 4. Let y(r) be the first derivative of d(r). Factor y(n).
4*n*(n - 1)*(n + 2)
Suppose -4*u - 4*t = 20, t = -5*u + 5*t + 2. Let d = 1 - u. Determine g, given that -2*g**3 - 8 - 3*g**3 - 18*g**2 - 2*g**d - g**4 - 20*g = 0.
-2, -1
Let l be (-36)/10*(132/24)/(-1). Solve -l*n**2 + 6/5 + 3*n = 0.
-2/11, 1/3
Let r = 1/69 - -479/276. Let w(o) be the first derivative of -1 - 10*o**2 - 23/3*o**3 - r*o**4 - 4*o. Factor w(u).
-(u + 1)*(u + 2)*(7*u + 2)
Let x(b) be the second derivative of -b**8/8960 + b**6/960 - b**4/6 + 4*b. Let s(q) be the third derivative of x(q). Factor s(h).
-3*h*(h - 1)*(h + 1)/4
Let h be ((-6)/(-15))/(26/(-30)). Let m = 56/65 + h. Solve 0 + 0*j + 2/5*j**2 + m*j**3 = 0 for j.
-1, 0
Let v be ((-2)/4)/(2/(-8)). Let m(t) be the second derivative of 1/60*t**6 + 0*t**2 + 0*t**3 - v*t - 1/84*t**7 + 1/40*t**5 - 1/24*t**4 + 0. Solve m(a) = 0.
-1, 0, 1
Let 0*o + 2/9*o**3 + 0 + 4/3*o**2 = 0. Calculate o.
-6, 0
Let s(n) = n**3 - 8*n**2 - 10*n + 11. Let g be s(9). Factor -i**4 - 5*i**4 - 7*i**4 - 11*i**g + 19*i**3 + 3*i**5 + 2*i.
i*(i - 2)*(i - 1)**2*(3*i - 1)
Suppose -5*b + n = -1 - 4, -3*b + 16 = 2*n. Determine r, given that r**4 + 9*r**2 - 12*r**2 + 4*r**2 - b*r**3 = 0.
0, 1
Let -3/2*m**2 + 0 - 3*m + 3/4*m**3 + 3/8*m**4 = 0. Calculate m.
-2, 0, 2
Let f(x) be the third derivative of -1/100*x**5 + 1/200*x**6 + 0*x**4 + 0 + 0*x**3 + 0*x - 7*x**2. What is j in f(j) = 0?
0, 1
Suppose -3/5*l + 0 - 9/5*l**2 = 0. What is l?
-1/3, 0
Let q(z) be the third derivative of z**6/600 - z**5/75 + z**4/24 - z**3/15 + 4*z**2. Determine y so that q(y) = 0.
1, 2
Let a be (-188)/1598 + (-23)/(-51). Solve a*t - 4/3*t**3 + 0 - t**2 = 0.
-1, 0, 1/4
Let i(n) be the second derivative of 2/21*n**7 + 0 - 1/3*n**4 - 1/5*n**5 + 2/15*n**6 + 0*n**2 - n + 0*n**3. Factor i(v).
4*v**2*(v - 1)*(v + 1)**2
Let h(r) be the third derivative of -9*r**7/70 - 3*r**6/5 - 13*r**5/20 - r**4/4 - r**2. Factor h(u).
-3*u*(u + 2)*(3*u + 1)**2
Solve 125/4*d**5 + 0 + 75/4*d**4 - 3*d**2 - 35/2*d**3 + 2*d = 0 for d.
-1, -2/5, 0, 2/5
Let q(r) be the third derivative of 0 - 1/40*r**6 - 1/10*r**5 + 0*r**3 + 0*r - 3*r**2 + 0*r**4. Solve q(f) = 0 for f.
-2, 0
Let f(d) be the second derivative of 5/48*d**4 + 2*d - 7/24*d**3 + 0 + 1/4*d**2. Find m, given that f(m) = 0.
2/5, 1
Let i(m) = -2*m - 3. Let o be i(-3). Factor t + 2*t**2 - t - o*t**2.
-t**2
Let u = 727/2163 - 2/721. Factor 0 + u*y**4 - y**3 + 0*y + 2/3*y**2.
y**2*(y - 2)*(y - 1)/3
Let s(z) be the first derivative of 4/9*z**3 + 3 + 0*z**2 - 1/6*z**4 + 0*z. Factor s(i).
-2*i**2*(i - 2)/3
What is r in -3/5*r - 2/5 + 1/5*r**3 + 0*r**2 = 0?
-1, 2
Factor -5*u**2 + 20*u + 26 - 80 + 39.
-5*(u - 3)*(u - 1)
Let j(y) be the first derivative of -24*y**5/5 - 21*y**4/4 + y**3 + 52. What is a in j(a) = 0?
-1, 0, 1/8
Suppose 6*r - 2*r = 8. Let n(v) be the second derivative of -7/36*v**4 + 0*v**3 + 1/10*v**5 + 1/6*v**r - 2*v + 0. Factor n(i).
(i - 1)*(2*i - 1)*(3*i + 1)/3
Let h(g) be the second derivative of g**4/12 - g**3/6 + g. Factor h(f).
f*(f - 1)
Let k(y) = 7*y**3 - 12*y**2. Let s(c) = 6*c**2 + 11*c**2 - 11*c**2 - 3*c**3. Let j(l) = 6*k(l) + 13*s(l). Factor j(x).
3*x**2*(x + 2)
Let n = -207 + 5590/27. Let o(l) be the third derivative of 0 - 2/135*l**5 + 0*l - l**2 + n*l**3 - 1/36*l**4. Suppose o(p) = 0. Calculate p.
-1, 1/4
Factor -10*u**3 - 10*u**4 + 5*u**5 + 14*u**2 - 35*u + 10 + 5*u**2 + 12*u**2 + 9*u**2.
5*(u - 1)**4*(u + 2)
Let z(b) be the third derivative of b**7/210 - b**6/6 + 59*b**5/30 - 15*b**4/2 + 27*b**3/2 - 10*b**2. Suppose z(t) = 0. Calculate t.
1, 9
Let q be (18/8)/9 + (-1)/(-4). Suppose -1/2*r - q*r**4 + r**3 + r**2 - 1/2*r**5 - 1/2 = 0. What is r?
-1, 1
Find i, given that -5*i**3 + 15*i**2 - 7 - 7 - 16 + 10 = 0.
-1, 2
Let m(d) be the second derivative of -d**5/110 - d**4/22 + 4*d**2/11 + 21*d. Factor m(t).
-2*(t - 1)*(t + 2)**2/11
Let x be (-2)/(-5) + (-36)/(-135). What is g in 2/3*g**4 + 0 + x*g**3 + 0*g + 0*g**2 = 0?
-1, 0
Let 3 + 36*s + 23*s**2 - 5*s**3 + 8*s**3 + 21 - 5*s**2 = 0. Calculate s.
-2
Let h(j) be the first derivative of 2*j**5/55 - j**4/11 + 2*j**3/33 - 62. Suppose h(d) = 0. Calculate d.
0, 1
Let q(g) = 8*g**3 - 6. Let s(t) = -3*t - 1. Let v be s(-2). Suppose v*o - 8 = -3. Let c(h) = h**3 - 1. Let z(y) = o*q(y) - 6*c(y). Factor z(d).
2*d**3
Let h(l) = -3*l**4 - 12*l**3 + 28*l**2 - 32*l + 12. Let w(d) = -7*d**4 - 25*d**3 + 57*d**2 - 64*d + 23. Let u(n) = -9*h(n) + 4*w(n). Let u(i) = 0. Calculate i.
2
Let g(h) = 14 + 9*h - 7 + 3*h - 8*h. Let j be g(6). Factor -j + 31 + y**2.
y**2
Factor -24*c**2 + 0*c + 4*c**3 - 4*c - 9*c - 3*c + 4*c**4 + 32.
4*(c - 2)*(c - 1)*(c + 2)**2
Let v be 2/(19/(456/16)). Factor 0*h**2 - 6/7*h**5 - 4/7*h**v + 0*h + 10/7*h**4 + 0.
-2*h**3*(h - 1)*(3*h - 2)/7
Find m, given that 2*m**2 - 28*m - 18 + 19*m**2 - 50*m + 21*m = 0.
-2/7, 3
Suppose 3*b = -r + 9 - 3, 12 = -r + 3*b. Let o be (r/(-4))/((-6)/(-4)). Factor -l - 1/2*l**2 - o.
-(l + 1)**2/2
Factor 3*l**3 - l**4 - 2*l**4 - 17*l + 3*l**2 + 14*l.
-3*l*(l - 1)**2*(l + 1)
Let r = -157/3 - -53. Let t = 22/9 + -10/9. Solve -2/3 - r*p**2 - t*p = 0.
-1
Let d be 0/((2 - -1)/1). Suppose -2*w + 0*w = d. Factor w + 0*o - 1/5*o**2.
-o**2/5
Let y(p) be the third derivative of -5*p**8/21 + 16*p**7/21 - 5*p**6/8 - p**5/6 + 5*p**4/24 - 11*p**2. Determine t, given that y(t) = 0.
-1/4, 0, 1/4, 1
Let a(z) be the third derivative of z**7/105 - z**6/15 + z**5/6 - z**4/6 + 3*z**2. Factor a(u).
2*u*(u - 2)*(u - 1)**2
Let t(g) = g - 4. Let v be t(8). Let h be 8/v*(-2)/(-2). Let -3*x**2 + 0*x**2 + 4*x**h - x**4 = 0. What is x?
-1, 0, 1
Let w(i) = 29*i**4 - 13*i**3 - 27*i**2 + 21*i. Let c(g) = -88*g**4 + 40*g**3 + 82*g**2 - 62*g. Let q(j) = 3*c(j) + 8*w(j). Factor q(a).
-2*a*(a + 1)*(4*a - 3)**2
Find v such that -35*v**2 - 31*v**2 + 5*v + 62*v**2 - v = 0.
0, 1
Let d(k) = -6*k**3 - 6*k**2 - k + 6. Let n(y) = 2*y**3 + 2*y**2 - 2. Let b(h) = -4*d(h) - 14*n(h). Find q such that b(q) = 0.
-1, 1
Let j(p) be the first derivative of -p**6/6 - 2*p**5/5 + p**4/4 + 2*p**3/3 + 7. Suppose j(b) = 0. Calculate b.
-2, -1, 0, 1
Suppose -4*f = 4*b - 2*b - 4, f - 4*b - 19 = 0. Factor -5*j**2 - 1/3 - f*j**3 - 7/3*j.
-(j + 1)*(3*j + 1)**2/3
Suppose 0 - 27/7*m**3 + 15/7*m**4 + 3/7*m + 9/7*m**2 = 0. Calculate m.
-1/5, 0, 1
Suppose -5*b + 2 = 4*f, -7 - 7 = -2*b + 5*f. Let i(g) be the first derivative of -4 + 0*g + 3/5*g**5 + 0*g**3 + 0*g**b - 3/4*g**4. What is y in i(y) = 0?
0, 1
Determine m so that -39/5*m**4 + 6/5 - 99/5*m**2 + 111/5*m**3 + 21/5*m = 0.
-2/13, 1
Factor 0 - 10/7*q**2 + 6/7*q**3 + 4/7*q.
2*q*(q - 1)*(3*q - 2)/7
Let o(y) be the second derivative of 1/30*y**5 + 2*y + 0*y**3 + 0 - 1/12*y**4 + y**2. Let i(b) be the first derivative of o(b). Factor i(w).
2*w*(w - 1)
Let d(a) = 5*a**2 - 12*a + 6. Let g(b) = 5*b**2 - 12*b + 7. Let l(x) = 3*d(x) - 2*g(x). Factor l(r).
(r - 2)*(5*r - 2)
Let o be 1/9 + (-10)/(-72). Factor -o*t**4 + 0*t**2 - 1/2*t**3 + 1/2*t + 1/4.
-(t - 1)*(t + 1)**3/4
Let l(v) be the first derivative of v**5/150 + v**4/15 + 4*v**3/15 + 3*v**2 - 1. Let x(m) be the second derivative of l(m). Let x(a) = 0. Calculate a.
-2
Let n(g) be the third derivative of 0 + g**2 + 0*g - 2/3*g**3 - 1/12*g**4 + 1/30*g**5. Suppose n(y) = 0. Calculate y.
