4*(m - 5)*(5*m + 2)
Let v be (-12)/(-33)*(-5)/(-2). Let n be (-7)/(-4)*(-16)/(-22). Factor v*z**4 + 0 + 4/11*z**2 + 0*z - n*z**3.
2*z**2*(z - 1)*(5*z - 2)/11
Let j(x) be the third derivative of x**7/11340 + x**6/540 + x**5/60 - x**4/6 - x**2. Let b(f) be the second derivative of j(f). Factor b(w).
2*(w + 3)**2/9
Let b(v) = v**3 + 8*v**2 + 6*v - 5. Let u = 8 + -15. Let c be b(u). Factor -12/7*d + 2/7 + 10/7*d**c.
2*(d - 1)*(5*d - 1)/7
Let z(d) = -20*d**4 + 9*d**3 + 11*d**2. Let c(i) = 5*i**4 - 2*i**3 - 3*i**2. Let t(g) = -9*c(g) - 2*z(g). Factor t(l).
-5*l**2*(l - 1)*(l + 1)
Let 2/3 + 0*f**2 - 1/3*f**3 + f = 0. What is f?
-1, 2
Let t(x) = -x**3 - 14*x**2 - x - 14. Let c be t(-14). Let h(a) be the first derivative of c*a - 1 + 1/4*a**4 + 0*a**3 + 0*a**2. Factor h(r).
r**3
Suppose 0 = 4*b - 518 + 162. Let 89 - 4*w + 2*w**2 - b = 0. Calculate w.
0, 2
Let l(f) = f**2 - 2. Let j(r) = r. Let b be (-4)/(-3)*(-12)/(-8). Let p(g) = b*j(g) + 2*l(g). Determine q, given that p(q) = 0.
-2, 1
Factor 0 + 18/7*d + 12/7*d**2 + 2/7*d**3.
2*d*(d + 3)**2/7
Let u(z) = -z**3 + 3*z**2 + 5*z - 4. Let k be u(4). Let w(r) be the third derivative of k*r + 0 - 1/6*r**3 + 0*r**4 + r**2 + 1/60*r**5. Factor w(l).
(l - 1)*(l + 1)
Suppose h = -h. Suppose 0*c - 2*c = h. Suppose c*y + 0 + 1/4*y**2 = 0. What is y?
0
Let y(b) be the third derivative of b**6/480 + b**5/240 - b**4/48 + 4*b**2. Solve y(z) = 0.
-2, 0, 1
Let w be (-5)/(45/39) - -5. Factor 6 + w*s**2 + 4*s.
2*(s + 3)**2/3
Let r(j) be the first derivative of 3*j**4/28 - 12*j**3/7 + 72*j**2/7 - 192*j/7 - 18. Factor r(z).
3*(z - 4)**3/7
Let d(u) be the first derivative of u**3 + 9*u**2 + 27*u + 5. Let d(a) = 0. What is a?
-3
Let v(f) be the second derivative of f**4/15 - 2*f**3/5 - 8*f**2/5 + 3*f. Suppose v(c) = 0. Calculate c.
-1, 4
Suppose -2*p = -4*p + 10. Let y(u) be the third derivative of 1/3*u**4 - 8/9*u**3 + 0*u + 0 + 1/180*u**6 - u**2 - 1/15*u**p. Determine a, given that y(a) = 0.
2
Let h be -1*8 - (-493)/58. Find z such that -1/2*z**5 + 0*z + 0 + 1/2*z**3 + 1/2*z**2 - h*z**4 = 0.
-1, 0, 1
Suppose -12 = -a - 3*q, -7*a + 6*a = -5*q + 12. Factor 1/3*d**5 + 1/3*d**4 - d**a + 0 + 2/3*d - 1/3*d**2.
d*(d - 1)**2*(d + 1)*(d + 2)/3
Solve 9*q**2 + 0 + 57*q**2 - 24*q**3 - 72*q + 3*q**4 - 2 + 29 = 0.
1, 3
Let b(v) = -3*v - 13. Let q be b(-5). Let l be ((-6)/(-8))/(9/32). Factor 8/3*g - 2/3*g**q - l.
-2*(g - 2)**2/3
Let i(b) = b**2 - 1. Let k(x) = -8*x**2 - 8*x. Let f(o) = -12*i(o) - k(o). Let f(j) = 0. Calculate j.
-1, 3
Let y(v) be the third derivative of v**8/224 + v**7/140 - v**6/80 - v**5/40 - 4*v**2. Factor y(x).
3*x**2*(x - 1)*(x + 1)**2/2
Let q(t) = t**3 + t**2. Let m(v) = 14*v**3 + 20*v**2 + 10*v + 4. Let b(o) = m(o) - 12*q(o). Factor b(p).
2*(p + 1)**2*(p + 2)
Let y(f) = f**3 - 5*f**2 - 7*f + 9. Let u be y(6). Find v such that 2*v - 6*v**2 + 0*v**3 + 5*v**3 - u*v**3 + 2*v = 0.
0, 1, 2
Suppose -t - 102 = -3*t. Let r be 4/16 - t/(-36). Factor r*j**4 + 1/3*j**2 + 0*j + 0 + 2/3*j**5 + 4/3*j**3.
j**2*(j + 1)**2*(2*j + 1)/3
Let y(w) be the second derivative of w**5/20 - 11*w**4/12 + 35*w**3/6 - 25*w**2/2 - 43*w. Find n such that y(n) = 0.
1, 5
Let x(n) = n**3 - n**2 + 1. Let c(l) = 3*l**3 - 5*l**2 + 5. Suppose -4*f + 3 = 23. Let y(t) = f*x(t) + c(t). Factor y(q).
-2*q**3
Let w be 9/3 + (-6)/(-2). Factor -29*l**4 - 3 - 2*l**5 - l**5 - 3*l + w*l**3 + 26*l**4 + 6*l**2.
-3*(l - 1)**2*(l + 1)**3
Suppose q + 5*n = 5*q - 37, -n = 3*q - 4. Let 6*s**2 + 5*s**4 - 11*s + 0*s**4 + 2 + 15*s**2 - 17*s**q = 0. What is s?
2/5, 1
Let p = 4805/792 - 45/88. Factor p*b**3 - 10*b**2 + 16/3*b - 8/9.
2*(b - 1)*(5*b - 2)**2/9
Let w(d) be the second derivative of 0 - 1/2*d**3 + 1/6*d**4 + 0*d**2 + d + 1/4*d**5. Let k(b) = -b**3 + b. Let u(n) = -4*k(n) - w(n). Factor u(a).
-a*(a + 1)**2
Let p(n) be the second derivative of 0*n**6 + 1/35*n**5 + 0*n**4 - 2*n - 1/147*n**7 - 1/21*n**3 + 0 + 0*n**2. Solve p(g) = 0 for g.
-1, 0, 1
Let m(f) = -f**3 + 4*f**2 - f - 2. Let v be m(3). Let n be v/3*3/2. Suppose 3*k**3 + n*k**5 - 3*k**3 = 0. What is k?
0
Let m(f) be the third derivative of -f**5/90 + f**4/9 - 4*f**3/9 - 16*f**2. Suppose m(p) = 0. Calculate p.
2
Factor 0*a**3 - 2*a**3 - 2*a**3 - 4*a**2.
-4*a**2*(a + 1)
Let y(t) = -7*t**2 - 92*t - 11. Let k be y(-13). Factor 1/3*q**k + 1/3*q + 0.
q*(q + 1)/3
Let h(x) be the first derivative of x**4/2 + 10*x**3/3 - 18*x**2 - 34*x - 3. Let c(d) = -d**3 - 3*d**2 + 12*d + 11. Let q(b) = -10*c(b) - 3*h(b). Factor q(g).
4*(g - 2)*(g + 1)**2
Let 3*l - 3*l**3 - 3/2*l**4 + 0*l**2 + 3/2 = 0. Calculate l.
-1, 1
Suppose 3*p**5 + 3*p**3 - 6*p**4 + 11*p**5 - 11*p**5 = 0. Calculate p.
0, 1
Suppose -4*l + 2*l = -8. Let g be l + 3/(12/(-14)). Find y such that -g*y + 0 + 1/2*y**2 = 0.
0, 1
Let m(c) be the first derivative of -c**6/900 + c**4/15 - 2*c**3/3 + 11. Let w(d) be the third derivative of m(d). What is q in w(q) = 0?
-2, 2
Let m(l) be the second derivative of l**4/54 - 2*l**3/9 + 5*l**2/9 - 2*l. Let m(y) = 0. Calculate y.
1, 5
Let f(b) = 9*b**2 + 63*b + 54. Let i(v) = -6*v**2 - 42*v - 36. Let m(r) = -5*f(r) - 7*i(r). Factor m(a).
-3*(a + 1)*(a + 6)
Let m(l) = l + 10. Let q be m(-10). Let k be -1 - (q + -4) - 3. What is a in k*a + 0*a**2 + 2/7*a**5 + 0 + 2/7*a**3 + 4/7*a**4 = 0?
-1, 0
Let b(t) be the first derivative of t**6/60 - t**5/20 + t**4/24 - t + 2. Let z(v) be the first derivative of b(v). Determine p so that z(p) = 0.
0, 1
Suppose -33 = -4*h - 1. Solve 30*z**5 + 20*z**2 + 84*z**4 + h*z**4 + 28*z**2 + 8*z + 102*z**3 = 0 for z.
-1, -2/3, -2/5, 0
Suppose 3*i - 3 = 2*i. Factor -i*l + 2*l**2 + 7*l + l**3 - 3*l**3.
-2*l*(l - 2)*(l + 1)
Let a = 3341/20 - 167. Let f(r) be the first derivative of 1/5*r - 1 + a*r**4 + 3/10*r**2 + 1/5*r**3. Factor f(j).
(j + 1)**3/5
Let q(a) be the first derivative of -5*a**4/4 - 25*a**3/3 - 15*a**2 + 48. Suppose q(i) = 0. What is i?
-3, -2, 0
Let l = 300 - 298. Factor 4/5*d + 2/5*d**l + 0.
2*d*(d + 2)/5
Let w be (-11)/(-5940)*12 + 1/5. What is a in -2/3*a**2 + 2/9*a + 0 - w*a**4 + 2/3*a**3 = 0?
0, 1
Let x(o) be the second derivative of -o**5/35 - 2*o**4/21 + 2*o**3/7 - 10*o. Suppose x(b) = 0. Calculate b.
-3, 0, 1
Let j(q) = -11*q**4 - 14*q**3 - 2*q - 5. Let b(n) = 12*n**3 + 7*n**4 + 8 + n - 3*n**3 - 5. Let z(d) = -8*b(d) - 5*j(d). Factor z(o).
-(o - 1)*(o + 1)**3
What is q in 4*q**2 + 5*q + 4*q**2 - 9*q + 0*q**2 - 3*q**3 = 0?
0, 2/3, 2
Let o(r) = 5*r + 1. Let y be o(1). Let g = 6 - y. Factor 0*l - 2/5*l**2 + g.
-2*l**2/5
Determine p, given that -298*p + 8*p**2 - 2*p**2 - 295*p + 601*p - 2*p**3 = 0.
-1, 0, 4
Find g such that -4*g**3 - 3/2*g**2 + 0 + g - 3/2*g**4 = 0.
-2, -1, 0, 1/3
Let i(f) = f**2 - 1. Let j be i(-1). Determine v, given that 0*v**2 + j - 2/3*v + 2/3*v**3 = 0.
-1, 0, 1
Let m = -1007/24 - -42. Let u(p) be the third derivative of -2*p**2 + 1/80*p**5 - 1/32*p**4 - 1/480*p**6 + 0 + m*p**3 + 0*p. Determine b so that u(b) = 0.
1
Let b(r) = r**3 + 2*r**2 - 11*r. Let z(t) = -2*t**3 - 5*t**2 + 23*t. Let j(d) = 5*b(d) + 2*z(d). Factor j(g).
g*(g - 3)*(g + 3)
Suppose 0 = -3*l + 9, 4*z + 4*l - 16 = 4. Let h(q) be the second derivative of 1/24*q**4 + 0 + 0*q**z + q - 1/12*q**3. Determine c so that h(c) = 0.
0, 1
Let d(t) = 4*t**3 - 9*t**2 - 9*t + 4. Let b(x) = -12*x**3 + 28*x**2 + 28*x - 12. Let s(q) = 5*b(q) + 16*d(q). Factor s(a).
4*(a - 1)**2*(a + 1)
Let m = -251 + 253. Factor 3/2*j**m + 9/2*j + 3.
3*(j + 1)*(j + 2)/2
Let u be -3*(0 - 10/(-6)). Let z(x) = x**5 - 5*x**4 - 8*x**3 + 2*x**2 + 5. Let s(p) = p**4 + p**3 - 1. Let k(t) = u*s(t) - z(t). Determine a so that k(a) = 0.
-2, 0, 1
Let r(g) be the first derivative of g**7/1260 + g**3 - 3. Let p(k) be the third derivative of r(k). Solve p(v) = 0 for v.
0
Solve 2 + 4*m**3 - m**5 + 0 - 6*m + 2*m**4 + 4*m - 4*m**2 - m**5 = 0 for m.
-1, 1
Let p be (-117)/(-36) - 2/8. Let k be (1 - (-4 + p)) + 0. Factor 2*r - 4/3 + 8*r**k + 14/3*r**3.
2*(r + 1)**2*(7*r - 2)/3
Let g be (6/255)/(4/(-22)). Let a = g - -9/17. Find y such that -2/5*y**2 + 2/5 - a*y**3 + 2/5*y = 0.
-1, 1
Let g(m) = m**2 - 4*m - 9. Let n(u) = 4*u**2 - 15*u - 37. Let i(y) = -9*g(y) + 2*n(y). Factor i(j).
-(j - 7)*(j + 1)
Let y(a) be the first derivative of -a**5/100 - a**4/30 - a**3/30 + a**2 - 2. Let m(x) be the second derivative of y(x). Solve m(q) = 0 for q.
-1, -1/3
Let u