*2
Let g(h) be the first derivative of -3 - 6*h**2 + 1 - 3*h + 3*h**2 - h**3 - 3. Factor g(x).
-3*(x + 1)**2
Let c = 4 - 2. Factor -1 + i**2 + 0*i**2 + 2*i - 2*i**c.
-(i - 1)**2
Let y(j) = -j**2 - 21*j - 54. Let m be y(-3). Let m + 8/11*b**3 - 10/11*b**5 + 16/11*b**4 + 0*b + 0*b**2 = 0. What is b?
-2/5, 0, 2
Let w be 1/(-30)*(14 - 10)*-10. Factor 8/3*t**4 - w*t**3 + 0*t**2 + 0 + 0*t + 5/3*t**5.
t**3*(t + 2)*(5*t - 2)/3
Factor -8 + 2 - 7*s**2 + s + 8*s**2 - 2*s.
(s - 3)*(s + 2)
Let v be (-1)/(-4)*-2*-86. Let o = v + -127/3. Factor 2/9*q**3 + o*q**2 + 2/3*q + 2/9.
2*(q + 1)**3/9
Let q(v) = 13*v**2 + 4*v - 11. Let k(d) = -7*d**2 - 2*d + 6. Let s(o) = 11*k(o) + 6*q(o). Factor s(n).
n*(n + 2)
Let j(m) be the third derivative of -1/360*m**6 - 4*m**2 + 0 + 0*m**4 - 1/1008*m**8 + 0*m**5 + 0*m**3 + 0*m + 1/315*m**7. Determine f so that j(f) = 0.
0, 1
Let d = 4 - 1. Determine l so that -1 + 0*l + d*l - l**2 + 0*l**2 - l = 0.
1
Let o(m) be the second derivative of m**7/2940 - m**5/140 - m**4/42 - m**3/6 + 4*m. Let z(g) be the second derivative of o(g). Solve z(i) = 0.
-1, 2
Let s(c) = -c**2 + 7*c - 4. Let t be ((-4)/(-12))/((-3)/(-54)). Let v be s(t). Factor -1/2 - 1/2*k**v + k.
-(k - 1)**2/2
Let h(d) be the first derivative of d**4/22 - 8*d**3/11 + 48*d**2/11 - 128*d/11 - 22. Factor h(c).
2*(c - 4)**3/11
Let j be 6/15*65/39. Suppose 2/9*q + 0 + 4/9*q**3 + j*q**2 = 0. Calculate q.
-1, -1/2, 0
Let q(a) be the second derivative of -a**4/20 + a**3/2 - 15*a. Factor q(c).
-3*c*(c - 5)/5
Let i(g) be the second derivative of -2*g**2 + 5/3*g**4 + 4*g + 0 + 1/3*g**3 - 5/21*g**7 + 2/5*g**5 - 8/15*g**6. Solve i(l) = 0 for l.
-1, 2/5, 1
Let c(r) be the first derivative of -2*r**5/15 + 4*r**3/9 - 2*r/3 + 6. Let c(b) = 0. Calculate b.
-1, 1
Let r(z) be the first derivative of -z**6/240 - z**5/40 - 4*z**3/3 - 2. Let t(y) be the third derivative of r(y). Factor t(v).
-3*v*(v + 2)/2
Let x(c) = -2*c**4 + 25*c**3 - 48*c**2 - 20*c + 50. Let f(o) = o**4 - 13*o**3 + 24*o**2 + 10*o - 25. Let l(d) = -5*f(d) - 3*x(d). Find z, given that l(z) = 0.
-1, 1, 5
Let y be (4*(-1 + 0))/(-2). Let c be (-9)/15 - (-3 + 2). Factor 8/5 + c*j**y - 8/5*j.
2*(j - 2)**2/5
Factor 4*a - 12*a**3 + a**2 - 6 - 11*a**2 + 17*a - 2*a**2.
-3*(a + 2)*(2*a - 1)**2
Let z(q) be the second derivative of -q**7/21 + 3*q**6/5 - 4*q**5/5 - 29*q. Factor z(d).
-2*d**3*(d - 8)*(d - 1)
Let i = 2/65 - -57/260. Let -i*d**2 + 1/4*d + 1/2 = 0. Calculate d.
-1, 2
Let b(d) be the second derivative of -d**8/7560 + d**6/810 - d**4/108 + d**3/2 - 3*d. Let n(l) be the second derivative of b(l). Factor n(k).
-2*(k - 1)**2*(k + 1)**2/9
Let u(m) = m**5 - 6*m**4 + 20*m**3 - 5*m**2 + 11*m. Let k(b) = -b**3 - b**2 - b. Let o(h) = -21*k(h) - 3*u(h). What is s in o(s) = 0?
0, 1, 2
Let h(o) be the second derivative of o**6/30 - 3*o**5/20 + o**4/4 - o**3/6 - 3*o. Find i such that h(i) = 0.
0, 1
Let j be ((-44)/8 - 3)/(-1). Let s(w) = -w + 2. Let h be s(-6). Factor 1 - h*o**3 + 20*o**2 - j*o.
-(o - 2)*(4*o - 1)**2/2
Let r(s) = 20*s**3 + 36*s**2 + 40*s - 24. Let n(p) = 4*p**3 + 7*p**2 + 8*p - 5. Let t(u) = -24*n(u) + 5*r(u). Factor t(c).
4*c*(c + 1)*(c + 2)
Let s(j) be the first derivative of -j**3 + 3/2*j**2 + 3 + 1/4*j**4 - j. Factor s(a).
(a - 1)**3
Let k(n) = n**2 + 12*n - 64. Let y be k(4). Let -4/3*d**3 + 2/3*d**4 + y + 2/3*d**2 + 0*d = 0. What is d?
0, 1
Factor 8*y**3 - 7*y + 3 + 8*y**2 + y**5 + 8*y**3 - 18*y**3 - 1 - 2*y**4.
(y - 1)**4*(y + 2)
Let i = -17 - -24. Let x = -4 + i. Find o such that -2*o**x + 7/2*o**2 - 1/2 - o = 0.
-1/4, 1
Let b(n) = n. Suppose -p = -2*p + 2. Let s be b(p). Factor 2/7*v**s + 0 - 2/7*v**4 + 0*v + 0*v**3.
-2*v**2*(v - 1)*(v + 1)/7
Let d = 2918/13543 + -4/467. Let u = 76/87 - d. Factor 0 - 5*f**3 - 11/3*f**4 - u*f - 3*f**2 - f**5.
-f*(f + 1)**3*(3*f + 2)/3
Let c = 9 + -13. Let f = c + 7. What is s in 2*s**3 - 3*s + 1 + 0*s**f + 3*s**2 - 3*s**3 = 0?
1
Let u = -9 + 13. Suppose -78*y**2 + 28*y**4 + 16*y**3 + 2 + 1 + 4*y**u + 34*y - 7 = 0. Calculate y.
-2, 1/4, 1
Suppose -4*p - 30 + 38 = 0. What is y in 0 + 0*y + 3/2*y**p + 1/2*y**3 = 0?
-3, 0
Suppose -6*y**2 - 14*y + 10*y**4 - 11*y**4 + 10*y - 1 - y**3 - 3*y**3 = 0. Calculate y.
-1
Factor 56/5*q - 392/5 - 2/5*q**2.
-2*(q - 14)**2/5
Suppose 0 = -i - 4*i. Suppose 0 = 3*k - i - 6. Let 0*a**k - a**3 + 2*a**3 - a**2 = 0. Calculate a.
0, 1
Let z(x) = -7*x**4 - 11*x**3 - 9*x**2. Let w(y) = -4*y**4 - 6*y**3 - 5*y**2. Let d(j) = 5*w(j) - 3*z(j). Factor d(b).
b**2*(b + 1)*(b + 2)
Let c = -1206 - -1209. Suppose -10/13*m - 6/13 - 2/13*m**2 + 2/13*m**c = 0. What is m?
-1, 3
Let g(o) be the third derivative of o**5/60 + o**4/8 + o**3/3 + 28*o**2. Determine i so that g(i) = 0.
-2, -1
Factor 4*h + 1 - 5*h + 3 - 11*h + 5*h**2.
(h - 2)*(5*h - 2)
Let c(q) be the first derivative of 2*q**3/3 - 8*q + 63. Factor c(b).
2*(b - 2)*(b + 2)
Suppose 2*z = -0*z + 6. Let f(w) be the third derivative of 1/420*w**7 + 1/80*w**6 + 1/48*w**4 + w**2 + 0*w + 1/40*w**5 + 0 + 0*w**z. Factor f(s).
s*(s + 1)**3/2
Factor 15/2*z + 23/4*z**2 + 3/2*z**3 + 25/8 + 1/8*z**4.
(z + 1)**2*(z + 5)**2/8
Let u(a) be the second derivative of 0*a**2 + 1/24*a**4 - 8*a + 0*a**3 + 0. Determine s, given that u(s) = 0.
0
Suppose o - 23 - 19 = 0. Let m be (7/o)/((-1)/(-2)). Factor -m*q**2 + 0 + 0*q - 1/3*q**3.
-q**2*(q + 1)/3
Let c(w) be the first derivative of -2*w**5/15 + w**4/6 + 2*w**3/9 - w**2/3 + 13. Factor c(n).
-2*n*(n - 1)**2*(n + 1)/3
Solve 4/5*l**4 - 3/5*l + 2/5*l**3 + 1/5*l**5 + 0 - 4/5*l**2 = 0.
-3, -1, 0, 1
Let b(g) be the first derivative of -6*g**6 + 12*g**5/5 + 5*g**4 + 4*g**3/3 - 45. Solve b(j) = 0.
-1/3, 0, 1
What is q in 16/19*q + 26/19*q**4 + 6/19*q**2 - 6/19*q**5 - 8/19 - 34/19*q**3 = 0?
-2/3, 1, 2
Let p(i) be the third derivative of -i**7/210 - i**6/420 + i**5/60 + i**4/84 - 3*i**2. Find n such that p(n) = 0.
-1, -2/7, 0, 1
Let d = 4/213 - -548/1065. Factor -d - 2/15*q**2 - 8/15*q.
-2*(q + 2)**2/15
Let f(l) = -8*l**3 + 6*l + 6. Let w(m) = 15*m**3 - 11*m - 11. Let x(p) = -11*f(p) - 6*w(p). Let x(g) = 0. Calculate g.
0
Let p(t) be the first derivative of 0*t + 0*t**2 - 3/4*t**4 - 1 + t**3. Solve p(n) = 0 for n.
0, 1
Suppose 5*h + 3 = 13. Let a be 6/8*(-56)/(-63). Factor 0 - 2/3*c**h - a*c.
-2*c*(c + 1)/3
Suppose 3*o = o. Factor 0*q + 1/6*q**3 + o*q**2 + 0 + 1/6*q**4.
q**3*(q + 1)/6
Factor 156/7*w - 54/7*w**2 + 3/7*w**4 - 120/7 - 3/7*w**3.
3*(w - 2)**3*(w + 5)/7
Let a(t) be the third derivative of -t**6/300 + t**5/150 + t**4/60 - t**3/15 + 26*t**2. Factor a(p).
-2*(p - 1)**2*(p + 1)/5
Let w(d) = 3*d**2 + 6*d + 9. Let s be w(-3). Let r be (-318)/(-14) - 4/(-14). Determine u so that -1 + r*u - 23*u - s*u**3 + 11*u**2 + 8*u**4 = 0.
-1/4, 1/2, 1
Let n = 38 - 33. Let o(z) be the third derivative of -1/24*z**4 + 1/210*z**7 + 1/180*z**6 + 1/1008*z**8 - 1/90*z**n - 1/18*z**3 + 0*z + 0 + 2*z**2. Factor o(j).
(j - 1)*(j + 1)**4/3
Let v = -3 + 3. Suppose -2 = 2*l, -5*p + v*p = l + 6. Let r(c) = -9*c**3 + 15*c**2 - 9*c - 3. Let j(h) = -h. Let w(x) = p*r(x) + 6*j(x). Factor w(q).
3*(q - 1)**2*(3*q + 1)
Let h = -279/2 + 140. Factor 0 - 1/2*d**5 + d**4 - d**2 + 0*d**3 + h*d.
-d*(d - 1)**3*(d + 1)/2
Let l(a) be the first derivative of -5*a**4/48 - a**3/8 + a**2/4 - 3*a + 2. Let c(x) be the first derivative of l(x). Let c(b) = 0. Calculate b.
-1, 2/5
Let a be -2 + (-3 - (3 - 1)). Let v = a + 9. Determine q, given that 11/4*q**v - 1/2 - 3/4*q**3 + 3/4*q - 9/4*q**4 = 0.
-1, -2/3, 1/3, 1
Let a = -7/531 - 157679/2124. Let o = 75 + a. Suppose 5/4*z**3 + 9/4*z**2 + o*z - 1/4 = 0. Calculate z.
-1, 1/5
Let l(p) = -p - 13. Let m be l(-11). Let v(t) = -t**2 - 1. Let w(d) = 4*d**2 + 3. Let u(r) = m*w(r) - 6*v(r). Let u(b) = 0. What is b?
0
Suppose 3*y = y + 24. Suppose 0 = -4*n - 3*k - 1, 2*n + n - 2*k = y. Factor 4*o**4 - 4*o**4 - o**3 + o + 0*o**4 - 3*o**4 + 3*o**n.
-o*(o - 1)*(o + 1)*(3*o + 1)
What is d in 0 - 1/6*d**2 + 3/2*d = 0?
0, 9
Let p = 1/1156 + 575/3468. What is c in -1/6*c**3 + 0*c**2 + 0 + p*c**4 + 0*c = 0?
0, 1
What is b in 0*b**2 - 1/8*b + 1/8*b**3 + 0 = 0?
-1, 0, 1
Find g, given that 2*g**3 - 7*g**3 - 9*g**2 + 4*g**2 = 0.
-1, 0
Suppose 0 = -0*g - 4*g + 8. What is t in 4 - 2*t**g - 5*t**3 - 4 + 12*t**3 - 5*t**4 = 0?
0, 2/5, 1
Let l(f) be the second derivative of -f**5/5 + 4*f**4/3 - 8*f**3/3 - 7*f. Factor 