= d**3 - 2*d**2 - 3*d. Let j(o) = 6*o**3 - 10*o**2 - 16*o. Let i(u) = h*j(u) + 11*n(u). Determine p so that i(p) = 0.
-1, 0
Let x(w) be the first derivative of w**5/10 - w**4/8 - w**3/6 + w**2/4 - 13. Factor x(l).
l*(l - 1)**2*(l + 1)/2
Suppose -7*z - 10 = -31. Let -4*a - 4/3 - z*a**2 = 0. Calculate a.
-2/3
Let n = 129/4 - 32. Let j = 101/4 - 25. Factor -j*d + 1/4*d**2 + 1/4*d**3 - n.
(d - 1)*(d + 1)**2/4
Let a be 276/(-8)*26/(-12). Let q = a - 74. Factor 1/4*w**4 + 0 - 3/4*w**3 - 1/4*w + q*w**2.
w*(w - 1)**3/4
Let n(s) = 2*s**4 - 5*s**3 - 11*s**2 + 4*s + 5. Let w(b) = -3*b**4 + 7*b**3 + 16*b**2 - 6*b - 7. Let a(y) = 7*n(y) + 5*w(y). Factor a(d).
-d*(d - 1)**2*(d + 2)
Let g(z) be the second derivative of 2/3*z**3 + 0 - 1/12*z**4 - 2*z**2 - 3*z. Factor g(t).
-(t - 2)**2
Let g(c) be the third derivative of -5*c**8/336 - 4*c**7/105 + 3*c**6/40 + 2*c**5/15 - c**4/6 - 2*c**2. Determine k, given that g(k) = 0.
-2, -1, 0, 2/5, 1
Let g(i) be the second derivative of -2*i**3 + 0 - 9*i**2 - 1/6*i**4 - 3*i. Factor g(m).
-2*(m + 3)**2
Factor -2/5 + 4/5*b - 2/5*b**2.
-2*(b - 1)**2/5
Let s be (-96)/(-42) - 2/7. Let c(b) be the first derivative of 0*b + 2 - 1/3*b**s - 2/9*b**3. Find w, given that c(w) = 0.
-1, 0
Let l(f) = 24*f**2 - 4*f + 7. Let y be l(2). Let i be 2*2*y/152. Factor -3/2*d**3 + 2*d - i*d**2 + 2.
-(d - 1)*(d + 2)*(3*d + 2)/2
Let f**2 + 3 - 41*f + 85*f - 48*f = 0. What is f?
1, 3
Factor 4*i**2 - 9*i**2 + 6*i**2.
i**2
Let f be 33/6*8/22. Let s(d) be the third derivative of -2/3*d**3 - 1/4*d**4 + 0*d**5 + 2*d**f + 0 + 0*d + 1/60*d**6. Determine b, given that s(b) = 0.
-1, 2
Let w(x) be the third derivative of x**7/420 - x**5/60 + x**3/3 + 2*x**2. Let u(b) be the first derivative of w(b). Solve u(s) = 0 for s.
-1, 0, 1
Let f be 24/8 + (-3)/2. Find h such that -3/4*h**2 - 3/4 + f*h = 0.
1
Solve 0 - r**2 + 0*r + 11/2*r**3 = 0.
0, 2/11
Let x(w) be the first derivative of 14*w**5/15 + 3*w**4/2 + 4*w**3/9 - 1. Let x(f) = 0. What is f?
-1, -2/7, 0
Let n(w) = 6*w - 16. Let o be n(8). Factor o*y**2 + 9*y - 44*y**2 + 3 + 0.
-3*(y - 1)*(4*y + 1)
Let s(b) = 7*b**2 - 2*b + 1. Let k(v) = -v**3 + 3*v**2 + 3*v - 1. Let q be k(4). Let i(l) = l**2 + 1. Let t(p) = q*i(p) + s(p). Factor t(m).
2*(m - 2)*(m + 1)
Let s be ((0 + 1)/(-1))/((-1)/3). Find k such that 2/11*k**4 - 2/11*k**2 - 2/11*k**s + 2/11*k + 0 = 0.
-1, 0, 1
Suppose 2 - 1 = g. Suppose c + g = 2*c, 5 = a + 3*c. Find m such that m**a - 2*m**2 - 1 + 2*m + 0*m = 0.
1
Find n such that -2/7*n**5 + 10/7*n**4 - 4/7*n**2 + 2*n - 6/7 - 12/7*n**3 = 0.
-1, 1, 3
Let v = -607 - -609. Factor -12/5*m + 4/5*m**v + 8/5.
4*(m - 2)*(m - 1)/5
Factor -24 + 0*v**2 + 3*v**2 + 2*v + 12 + 2*v**3 + 5*v**2.
2*(v - 1)*(v + 2)*(v + 3)
Let t = 124 + -121. Let b = -997/5 + 200. Factor b*d**2 + 7/5*d**4 + 2/5*d + 0 - 12/5*d**t.
d*(d - 1)**2*(7*d + 2)/5
Let x(g) be the second derivative of -g**6/240 + g**5/80 - 2*g**3/3 + 2*g. Let a(s) be the second derivative of x(s). Factor a(c).
-3*c*(c - 1)/2
Let g(d) be the second derivative of d**7/2100 - d**6/900 - 2*d**3/3 - d. Let m(f) be the second derivative of g(f). Factor m(l).
2*l**2*(l - 1)/5
Determine a, given that 2/5*a**4 - 1/5*a**5 + 0*a**3 - 2/5*a**2 + 1/5*a + 0 = 0.
-1, 0, 1
Let z(p) = -10*p**5 + 50*p**4 - 150*p**3 + 225*p**2 - 160*p + 40. Let c(m) = -m**5 + m**4 - m**2 + m - 1. Let q(k) = -5*c(k) + z(k). Factor q(s).
-5*(s - 3)**2*(s - 1)**3
Suppose -s - 4*u = -3*s + 16, -1 = -2*s - u. Determine a, given that -2*a**2 + 5*a**s - 3*a - 2*a**2 + 2*a = 0.
0, 1
Let z be (2/9)/(52/468). Find c, given that 0 + 3/4*c**4 + 0*c + 3/2*c**z - 9/4*c**3 = 0.
0, 1, 2
Let w = -39/2 + 20. Let x(i) be the first derivative of 2 + 4/3*i**3 + 0*i + i**2 + w*i**4. Factor x(h).
2*h*(h + 1)**2
Let m be (-3)/9 - (-2 + -2). Let f = -10/3 + m. Factor -f*v + 0 + 0*v**2 + 1/3*v**3.
v*(v - 1)*(v + 1)/3
Let y(o) = 3*o**3 - 3*o**2 - 19*o - 13. Let m(k) = -5*k**3 + 7*k**2 + 37*k + 25. Let f(d) = 4*m(d) + 7*y(d). Let f(q) = 0. What is q?
-3, -1
Factor -1/8*t**2 + 1/8*t + 3/4.
-(t - 3)*(t + 2)/8
Let d = 68 + -202/3. Suppose 0 = -23*j + 14*j + 36. Factor 14/3*u - 16/3*u**2 + 4/3*u**j - 4/3 - d*u**5 + 4/3*u**3.
-2*(u - 1)**4*(u + 2)/3
Let d(m) be the third derivative of -m**5/180 + m**4/8 + 11*m**3/9 + m**2 + 11. Determine c so that d(c) = 0.
-2, 11
Let n = -16 + 16. Let w(a) be the second derivative of 1/80*a**5 + 0*a**2 + 0*a**4 + 1/168*a**7 + 1/60*a**6 + 0*a**3 - a + n. Determine f, given that w(f) = 0.
-1, 0
Let r = -104/5 - -941/45. Let z(y) be the second derivative of -2/15*y**5 + 5/9*y**4 - 2/3*y**2 + 0 - r*y**3 + y - 8/45*y**6 + 5/63*y**7. Solve z(m) = 0 for m.
-1, -2/5, 1
Let m(i) = 2*i**2 + i + 2. Let v(p) = -10*p**2 - 4*p - 10. Let u(r) = -16*m(r) - 3*v(r). Suppose u(n) = 0. Calculate n.
-1
Let i(m) be the second derivative of 0*m**2 + 0 - 1/48*m**4 - 9*m + 1/24*m**3. Solve i(z) = 0.
0, 1
Suppose -6*c + 3*c - c**3 + 3*c**2 - 6*c**2 - 1 = 0. What is c?
-1
Solve -10*b**2 - 5/4*b**3 + 0 - 20*b = 0 for b.
-4, 0
Let t be (12/9 + 0)*3. Solve -4*y**4 + 2*y - t*y**5 + 2*y**5 + 4*y**2 + 0*y**4 + 0*y = 0.
-1, 0, 1
Let k(o) be the second derivative of -o**7/49 + o**6/105 + 8*o. Determine i so that k(i) = 0.
0, 1/3
Let z be (-30)/60 + -38*1/(-12). Let 0*r + 8/3*r**3 + 0 + 2/3*r**2 - 2/3*r**4 - z*r**5 = 0. What is r?
-1, -1/4, 0, 1
Find s, given that 4*s**4 + 64/7*s + 16/7 + 4/7*s**5 + 76/7*s**3 + 100/7*s**2 = 0.
-2, -1
Let p(v) be the first derivative of 9*v**5/25 + 3*v**4/20 - 3*v**3/5 - 3*v**2/10 + 8. Suppose p(h) = 0. Calculate h.
-1, -1/3, 0, 1
Factor 0 + 2/3*v**3 - 2/9*v**4 + 0*v + 0*v**2.
-2*v**3*(v - 3)/9
Let p = 318 - 1269/4. Factor 9/4*h**2 + 15/4*h - p*h**3 - 3/4*h**4 + 3/2.
-3*(h - 2)*(h + 1)**3/4
Let c(s) be the third derivative of s**9/40320 - s**8/40320 - s**5/20 + 2*s**2. Let j(d) be the third derivative of c(d). Solve j(f) = 0.
0, 1/3
Let p be -15 + 22 - 5*1. Determine i, given that 1/2*i**p + 1/4*i**3 + 0*i + 0 = 0.
-2, 0
Let s = 13 - 7. Suppose s*x = 7*x. Determine v, given that x - 2/5*v**2 + 0*v = 0.
0
Let k(f) = f**3 + 12*f**2 + 8*f - 33. Let n be k(-11). Factor 1/2*h**2 - 1/4 + 0*h**3 - 1/4*h**4 + n*h.
-(h - 1)**2*(h + 1)**2/4
Let k(v) be the first derivative of v**4/16 + 3*v**3/4 + 27*v**2/8 + 27*v/4 + 5. Determine m, given that k(m) = 0.
-3
Let g(j) = -j + 9. Let f be g(3). Let p(x) be the second derivative of -2*x + 0*x**5 + 1/150*x**f + 0*x**2 + 0*x**3 + 0*x**4 + 0. Factor p(l).
l**4/5
Factor 0*t - 4*t**3 - 1/2*t**5 + 2*t**2 + 0 + 5/2*t**4.
-t**2*(t - 2)**2*(t - 1)/2
Suppose -33*w + 32 = -25*w. Suppose -16 = -4*o - 2*i, -3*o + 3*i - 2 = 4. Factor 2/11*b + 6/11*b**3 + 6/11*b**o + 0 + 2/11*b**w.
2*b*(b + 1)**3/11
Let j(n) = 2*n**3 + 4*n**2 - 3. Let w(t) = -t**3 + 1. Let m(x) = -j(x) - 3*w(x). Factor m(i).
i**2*(i - 4)
Factor 2/13*a**2 - 6/13*a + 0.
2*a*(a - 3)/13
Let j(p) be the third derivative of 7*p**7/120 - 7*p**6/8 + 19*p**5/20 - p**4/3 - 33*p**2 - p. Factor j(f).
f*(f - 8)*(7*f - 2)**2/4
Determine q so that 2*q**2 + 0 + 3/2*q**3 - q**4 - 2*q - 1/2*q**5 = 0.
-2, 0, 1
Suppose -3*o + 7 = 1. What is s in -6*s - 4*s**2 + 4 + 4*s**2 + o*s**2 = 0?
1, 2
Let g(l) be the first derivative of -l**6/33 + 5*l**4/11 + 40*l**3/33 + 15*l**2/11 + 8*l/11 - 21. Solve g(x) = 0 for x.
-1, 4
Let v(s) be the second derivative of -s**2 + 0 + 1/10*s**5 - 1/3*s**3 + 1/6*s**4 - s. Suppose v(n) = 0. Calculate n.
-1, 1
Let b be -3 + 1*2 + (-99)/(-77). Find l such that 0*l**2 + 4/7*l**3 + 2/7 - b*l**4 - 4/7*l = 0.
-1, 1
Let k(m) be the first derivative of m**3/18 + 2. Factor k(g).
g**2/6
Let o(q) be the third derivative of q**5/540 + 3*q**2. Factor o(d).
d**2/9
What is x in -22*x**3 - 10*x**2 - 4*x**4 - 6*x**2 + 2*x**3 = 0?
-4, -1, 0
Let a(x) be the third derivative of -x**8/112 + x**7/140 + x**6/80 - 4*x**2. Factor a(s).
-3*s**3*(s - 1)*(2*s + 1)/2
Factor -25/3*t + 5/3*t**3 + 10/3 - 5/3*t**4 + 5*t**2.
-5*(t - 1)**3*(t + 2)/3
Suppose -15*a = -a - 42. Suppose 0*p**2 + 0 + 1/4*p**a - 1/4*p = 0. What is p?
-1, 0, 1
Let s(l) be the third derivative of l**5/60 + l**4/3 + 7*l**3/6 - 3*l**2. Factor s(r).
(r + 1)*(r + 7)
Factor 3*b**2 + 18/5*b**3 + 3/5*b**4 + 0*b + 0.
3*b**2*(b + 1)*(b + 5)/5
Let j(i) be the third derivative of -7*i**7/180 - 7*i**6/180 - i**5/60 - i**4/12 - 2*i**2. Let a(f) be the second derivative of j(f)