e the first derivative of 0*h + 0*h**5 - x*h**2 - 4 - 1/9*h**6 + 0*h**3 + 1/3*h**4. Factor b(w).
-2*w*(w - 1)**2*(w + 1)**2/3
Let i(r) = -2*r**2 - 27*r - 42. Let p(j) = -3*j**2 - 28*j - 43. Let d(h) = -2*i(h) + 3*p(h). Factor d(a).
-5*(a + 3)**2
Let q(a) = a**3 - 7*a**2 + 7*a - 5. Let u be q(5). Let h be (u/(-15))/((-44)/(-6)). Factor -4/11*m**3 + 2/11*m**5 - 4/11*m**2 + h*m**4 + 2/11*m + 2/11.
2*(m - 1)**2*(m + 1)**3/11
Factor 3*u**3 - 5*u**3 + 12*u**2 + 5*u**3 + u**3.
4*u**2*(u + 3)
Let o(n) be the first derivative of -n**5/10 + n**4/8 + n**3/6 - n**2/4 - 8. Determine b, given that o(b) = 0.
-1, 0, 1
Let z(l) be the second derivative of -l**6/150 + 3*l**5/50 - l**4/5 + l**3/3 - 3*l**2/10 - 7*l. What is q in z(q) = 0?
1, 3
Suppose 2*z**3 + 85*z + 13*z**3 + 80*z**2 - 6 + 26 = 0. What is z?
-4, -1, -1/3
Let h(j) be the third derivative of j**5/30 - j**4/12 - 13*j**2. Solve h(x) = 0.
0, 1
Suppose 0*r - 3*r = -9. Factor -6*z**r - z - 137*z**5 + 4*z + 140*z**5.
3*z*(z - 1)**2*(z + 1)**2
Let k be 15/(-6)*(-12)/10. Let r(s) be the first derivative of 0*s + 0*s**k + 0*s**2 + 1/10*s**4 + 1. Find x such that r(x) = 0.
0
What is v in 3*v - 9/5*v**5 - 2/5 - 36/5*v**2 + 6/5*v**4 + 26/5*v**3 = 0?
-2, 1/3, 1
Let p(y) = -42*y - 7. Let j be p(-2). Let w be (-28)/(-6)*66/j. Factor -2/11*h**5 + 6/11*h - 2/11 - 4/11*h**2 + 6/11*h**w - 4/11*h**3.
-2*(h - 1)**4*(h + 1)/11
Let h = -23 - -25. Let o(v) be the first derivative of -3 + 1/11*v**h + 0*v - 2/33*v**3. Determine f, given that o(f) = 0.
0, 1
Let w(n) be the first derivative of -n**6/2160 - n**3 - 2. Let t(v) be the third derivative of w(v). Solve t(s) = 0.
0
Let g(p) be the first derivative of p**6/2 - 6*p**5/5 + 2*p**3 - 3*p**2/2 - 17. Factor g(o).
3*o*(o - 1)**3*(o + 1)
Suppose -s - 6 + 18 = 0. Find k, given that 0*k**3 + 0*k**3 + s - 11 - 2*k**2 + k**4 = 0.
-1, 1
Let g(n) be the second derivative of -2*n**5/105 + n**4/28 + n**3/21 + n**2/2 - 3*n. Let p(f) be the first derivative of g(f). Find x, given that p(x) = 0.
-1/4, 1
Let t(f) be the second derivative of 27*f**5/100 + f**4/20 - 9*f**3/10 - 3*f**2/10 + 3*f + 1. Factor t(m).
3*(m - 1)*(m + 1)*(9*m + 1)/5
Factor 9/4*z**3 + 0 - 1/2*z - 1/4*z**2 + 5/4*z**5 + 13/4*z**4.
z*(z + 1)**3*(5*z - 2)/4
Let h be (-6)/(-12)*(-4)/(-60). Let k(c) be the second derivative of -c + 0 + 0*c**2 + 1/100*c**5 + h*c**3 - 1/30*c**4. Factor k(u).
u*(u - 1)**2/5
Let z(t) be the second derivative of -t**4/114 + 2*t**3/57 - t**2/19 - 4*t. Factor z(u).
-2*(u - 1)**2/19
Let x(a) be the second derivative of a**8/1680 + a**7/840 - a**6/360 - a**5/120 - a**3/3 - 3*a. Let l(r) be the second derivative of x(r). Factor l(y).
y*(y - 1)*(y + 1)**2
Suppose 0*s - s + 4 = 0. Determine l so that 2*l + 0*l - 9*l**3 - l**2 + 2*l**s + 7*l**3 - l**2 = 0.
-1, 0, 1
Let v be -1*(-12)/9*9/36. What is w in -w**3 + 1/3*w**2 + v*w**4 - 2/3 + w = 0?
-1, 1, 2
Let r be 1/(-3 - (0 - 54/15)). What is u in 2/3 + r*u + 4/3*u**2 + 1/3*u**3 = 0?
-2, -1
Let x(v) = -2*v**3 + 3*v**2 - v. Let z(w) be the third derivative of w**6/24 - 7*w**5/60 + w**4/12 - 2*w**2. Let n(d) = 7*x(d) + 3*z(d). Factor n(t).
t*(t - 1)*(t + 1)
Let u(b) be the third derivative of 0*b + 1/180*b**6 - 3*b**2 + 1/36*b**4 + 0*b**3 + 0 + 1/45*b**5. What is j in u(j) = 0?
-1, 0
Let o = 10 + -8. Factor -9*m**3 - 3*m**o + 9*m - 3 + 0 + 6*m**4 + 0*m**3.
3*(m - 1)**2*(m + 1)*(2*m - 1)
Let s(b) be the first derivative of b**4 - 100*b**3/3 + 336*b**2 - 576*b - 15. Solve s(r) = 0.
1, 12
Let x(o) be the second derivative of -3*o**6/85 - 11*o**5/170 - o**4/51 + 29*o. Factor x(p).
-2*p**2*(p + 1)*(9*p + 2)/17
Let l(z) be the third derivative of 0*z**4 + 0*z + 0*z**5 + 1/735*z**7 + 0*z**3 - z**2 - 1/420*z**6 + 0. Factor l(s).
2*s**3*(s - 1)/7
Solve 2/3*v + 0 - 2/3*v**3 + 2/3*v**2 - 2/3*v**4 = 0.
-1, 0, 1
Suppose -3*q = q. Suppose 7*t - 274 + 274 = 0. Factor t*c + 3/4*c**3 + 1/4*c**4 + q + 1/2*c**2.
c**2*(c + 1)*(c + 2)/4
Suppose -33 + 13 = -4*s - 2*a, 0 = s + a - 7. Let u be -18*(8/s - 3). Suppose 2 + 14*j - 2 + u*j**2 + 4 = 0. What is j?
-2, -1/3
Let k = 18 - 14. Suppose 5*t - 4*p = 33, -3*t = 2*t + k*p - 17. Factor -37/6*l**4 + 7/6*l**t + 8/3*l**2 - 32/3*l + 8/3 + 26/3*l**3.
(l - 2)**3*(l + 1)*(7*l - 2)/6
Factor -9/5*b**2 + 6/5*b + 0 + 3/5*b**3.
3*b*(b - 2)*(b - 1)/5
Suppose -15/8 - 6*y - 3/2*y**5 - 51/8*y**4 + 15/2*y**3 + 33/4*y**2 = 0. Calculate y.
-5, -1, -1/4, 1
Let m(j) be the second derivative of 9*j**5/140 + j**4/4 + 5*j**3/14 + 3*j**2/14 - 2*j. What is h in m(h) = 0?
-1, -1/3
Let p(i) be the second derivative of -i**6/240 - i**5/30 - i**4/12 + 2*i**2 - 2*i. Let n(x) be the first derivative of p(x). Factor n(k).
-k*(k + 2)**2/2
Factor 2974*s - 2902*s + 453 - 129 + 4*s**2.
4*(s + 9)**2
Let n be (-40)/12*(-9)/15. Let 2/7*a**n + 0*a + 0 = 0. What is a?
0
Let a(v) = -v**3 + 5*v**2 - 3*v + 4. Let w be a(4). Let l = 11 - w. Factor 2*u + 12*u**l + 2*u**3 - 10*u - 24*u**2.
2*u*(u - 2)*(7*u + 2)
Suppose 7*j + 0 + 0 = 0. Factor 1/3*q**4 + q**3 + 1/3*q + q**2 + j.
q*(q + 1)**3/3
Let y(a) = 9*a**4 + a**3 - 5*a**2 + 5*a + 5. Let s(t) = -7*t**2 + 7*t + t**3 + 4*t**4 + 9*t**4 + 11 - 4 + 0*t. Let v(n) = -5*s(n) + 7*y(n). Factor v(f).
-2*f**3*(f - 1)
Suppose 0 - 16/3*p**4 + 0*p + 4/3*p**2 - 4*p**3 = 0. What is p?
-1, 0, 1/4
Suppose -4*a - 12 = -24. Factor -u + 2/5 - 1/5*u**a + 4/5*u**2.
-(u - 2)*(u - 1)**2/5
Suppose -3*m = -u - 12, 3*u = -2*u - 5*m + 40. Factor -2 + j - 5*j + j**4 + 4*j**u + 0 - 2 + 3*j**2.
(j - 1)*(j + 1)*(j + 2)**2
Let o be -2 + -1 + 4 - 1. Let l(w) be the first derivative of 1/4*w**2 + 0*w**3 + o*w - 1 - 1/8*w**4. What is n in l(n) = 0?
-1, 0, 1
Let o(z) = z**2 + 6*z - 4. Let h be o(-7). Factor -7*m**h - m**3 + 6*m**2 + 3*m**4 - m**3.
3*m**2*(m - 2)*(m - 1)
Let h(y) = -y + 3. Let w = -8 - -11. Let o be h(w). Factor -1/5*d**4 - 1/5*d**2 + o*d + 0 - 2/5*d**3.
-d**2*(d + 1)**2/5
Let w(v) be the first derivative of 2*v**3/9 - 5*v**2/12 + v/6 - 1. Suppose w(c) = 0. What is c?
1/4, 1
What is u in -45/2*u**2 - 375/2 + 3/2*u**3 + 225/2*u = 0?
5
Factor j**2 - j**2 + 3*j**2 - 3*j**3.
-3*j**2*(j - 1)
Let n = 4 + 0. Factor -2*y**4 + 6*y**2 + 2 - 2*y**2 - n.
-2*(y - 1)**2*(y + 1)**2
Solve -16/5*n**2 - 6/5*n**3 - 8/5*n + 4/5*n**4 + 2/5*n**5 + 0 = 0.
-2, -1, 0, 2
Let q = 13272/11 - 1204. Solve 4/11 + 14/11*m**5 + 4/11*m**4 - q*m**3 + 14/11*m - 8/11*m**2 = 0 for m.
-1, -2/7, 1
Let b = 5 - 4. Let f(a) be the first derivative of 1/7*a**2 + 0*a + 0*a**3 - 1/14*a**4 + b. Factor f(z).
-2*z*(z - 1)*(z + 1)/7
Suppose -2 = -0*y - y. Let -3*b**4 + b**4 + 14*b**3 - y*b**3 - 2*b**4 = 0. What is b?
0, 3
Let c(r) = -2*r - 12. Let h = -20 + 12. Let l be c(h). Determine i so that 5 + 2*i**2 - 2 - i**l - 4 = 0.
-1, 1
Let z be (-1 - 2) + -3 + 2. Let l = 6 + z. Let -8*v**2 - l*v**3 + 8*v**2 + 2*v**4 = 0. Calculate v.
0, 1
Factor 7/3*q**3 + 2/3*q**4 + 2*q**2 - 1/3*q - 2/3.
(q + 1)**2*(q + 2)*(2*q - 1)/3
Let i(o) = 11*o**3 + o. Let x be i(-1). Let d = -9 - x. Solve 0*w + 0 - 1/4*w**2 - 1/4*w**d = 0.
-1, 0
Let l = -157 - -317/2. Factor -l*v**2 + 9*v - 27/2.
-3*(v - 3)**2/2
Suppose 190 - 55 = 5*x. Suppose 0*z - 10 = 2*z, 4*u - 3*z = x. What is w in 2*w**2 + 21*w - 21*w + w**u = 0?
-2, 0
Suppose 4*t - 3 = 5. Suppose 17 = -t*s + 5*s + i, 0 = -3*s - 2*i + 22. Find l such that 2*l**2 + 4*l**4 - 3*l**s + l**4 + 4*l**3 = 0.
-1, 0
Suppose -2 = -2*n + 2*j, -j + 9 = 3*n - 2*j. Factor 2/9*x**2 + 0 + 2/9*x**5 - 2/9*x**3 + 0*x - 2/9*x**n.
2*x**2*(x - 1)**2*(x + 1)/9
Factor 0*s - 1/2*s**4 - 1/2 + s**2 + 0*s**3.
-(s - 1)**2*(s + 1)**2/2
Suppose 0 = -3*i + 7*i - 16. Determine j so that -4*j**4 + 2*j**2 + 2*j - j**3 + 6*j**4 - i*j**2 - j**3 = 0.
-1, 0, 1
Factor 0*f**2 - 2/9*f**3 + 2/3*f + 4/9.
-2*(f - 2)*(f + 1)**2/9
Suppose g = -2 - 1, 3*n - 12 = -g. Find q, given that q**3 + 2*q**5 - n*q**5 + 4*q**3 - 2*q**3 = 0.
-1, 0, 1
Let j(b) = b**2 - 8*b + 10. Let l be j(7). Factor -2*a - 25 + 3*a**5 + 5*a + 25 - 6*a**l.
3*a*(a - 1)**2*(a + 1)**2
Let d be 70 + 7 - (1 + 0). Let 15*y**5 - d*y**4 + 17*y**5 - 44*y**2 + 8*y - 5*y**5 - 3*y**5 + 88*y**3 = 0. Calculate y.
0, 1/2, 2/3, 1
Let p(v) = -v + 3. Let z be p(3). Suppose -o + 5 = -z*o. Factor 0*g + 2/5*g**o + 0*g**3 + 0 + 0*g**2 - 2/5*g**4.
2*g**4*(g - 1)/5
Let i be (-1 + (-36)/(-28))*21/3. Factor -1/2*c + 0*c**i + 1/2*c**3 - 1/4*c**4 + 1/4.
-(c - 1)**3*