 + 1)**2
Let x(m) be the third derivative of -m**6/720 - m**5/120 - m**4/48 - 5*m**3/6 + 6*m**2. Let b(s) be the first derivative of x(s). Solve b(g) = 0.
-1
What is z in 2/3*z + 0 - 8/9*z**2 + 2/9*z**3 = 0?
0, 1, 3
Let k(h) be the second derivative of h**8/33600 + h**7/12600 - h**6/3600 - h**5/600 - h**4/4 - 2*h. Let v(t) be the third derivative of k(t). Factor v(z).
(z - 1)*(z + 1)**2/5
Let a = 8 - 11/4. Factor 9/4*y**5 + 0 + a*y**4 + 9/4*y**3 - 9/4*y**2 - 3/2*y.
3*y*(y + 1)**3*(3*y - 2)/4
Factor -4/3*o**3 - 16/3*o**2 - 8/3 - 20/3*o.
-4*(o + 1)**2*(o + 2)/3
Let x(r) be the first derivative of 0*r + 0*r**5 + 4 + 1/3*r**2 + 1/9*r**6 + 0*r**3 - 1/3*r**4. Factor x(j).
2*j*(j - 1)**2*(j + 1)**2/3
Let r be 24/(-18)*2 + 4. Determine y, given that -4/3*y**3 + 2*y - 2/3*y**5 + 2/3 + r*y**2 - 2*y**4 = 0.
-1, 1
Let t(o) be the second derivative of o**4/4 + 3*o**3/2 + 6*o. Factor t(v).
3*v*(v + 3)
Let w(p) be the third derivative of -p**6/180 + p**5/30 - 2*p**3/3 - 3*p**2. Let r(m) be the first derivative of w(m). Factor r(h).
-2*h*(h - 2)
Let s(l) be the second derivative of -l**3/3 - 2*l**2 + 3*l. Let p be s(-3). Factor -1/3*q**p + 1/3*q + 1/3*q**4 + 0 - 1/3*q**3.
q*(q - 1)**2*(q + 1)/3
Suppose 7*y = 3*y + 12. Determine i, given that 3/2*i**4 + 6*i - 2 + 3/2*i**2 - 5*i**y = 0.
-1, 1/3, 2
Suppose 2 = -4*g + 5*g. Suppose -2*t - 2*t**g - t - 3*t**3 + 2*t**3 + 2*t**3 = 0. Calculate t.
-1, 0, 3
Factor 2/5 + 2/5*i**3 + 6/5*i**2 + 6/5*i.
2*(i + 1)**3/5
Let q(u) be the first derivative of -1/5*u**2 - 2 + 1/15*u**3 + 0*u. Solve q(v) = 0 for v.
0, 2
Let f(g) be the second derivative of -g**5/50 - g**4/15 - g**3/15 + 9*g. Factor f(a).
-2*a*(a + 1)**2/5
Let b(h) be the first derivative of -3*h**5/100 + h**4/20 - 4*h + 2. Let a(s) be the first derivative of b(s). Suppose a(d) = 0. Calculate d.
0, 1
Let d(l) be the first derivative of -1/4*l**2 - 1/40*l**5 - 1/8*l**4 - l - 1/4*l**3 + 1. Let v(j) be the first derivative of d(j). Factor v(k).
-(k + 1)**3/2
Suppose 5*o = -4*p + 26, -2*p - 4 + 20 = 4*o. Let z(s) be the first derivative of -1 + 1/5*s**3 + 1/5*s + 3/10*s**2 + 1/20*s**p. Factor z(c).
(c + 1)**3/5
Let d(l) be the second derivative of l**6/15 - l**4/6 - 25*l. Factor d(y).
2*y**2*(y - 1)*(y + 1)
Suppose -2*m - d + 16 = -m, 3*m - 5*d - 32 = 0. Let u be m/4*4/7. Factor -2*h + 0*h - 2*h**u - 2 + 2.
-2*h*(h + 1)
Determine n, given that -6*n**2 + 5*n - 3*n + n**2 - n**3 + 4*n**2 = 0.
-2, 0, 1
Let 3*h**4 + 9*h**4 + 3 - 3*h**4 - h**2 + 6*h**3 - 6*h - 11*h**2 = 0. Calculate h.
-1, 1/3, 1
Let n(r) be the first derivative of 5*r**6/6 - r**5 - 25*r**4/4 + 5*r**3/3 + 20*r**2 + 20*r + 23. Factor n(l).
5*(l - 2)**2*(l + 1)**3
Let h be 70/25 + (-2)/(-10). Let p be (2 - -1 - h) + 3. Let -1/4*y**2 + 0 + 3/4*y**p - 1/2*y = 0. What is y?
-2/3, 0, 1
Let s(q) be the first derivative of -2 + 4/35*q**5 + 0*q**4 + 0*q + 1/21*q**6 - 1/7*q**2 - 4/21*q**3. Find u such that s(u) = 0.
-1, 0, 1
Let p = -10 - -16. Let j(c) = -3*c**3 + 5*c**2 - 7*c - 5. Let o(a) = -4*a**3 + 6*a**2 - 8*a - 6. Let l(b) = p*j(b) - 5*o(b). Suppose l(i) = 0. Calculate i.
-1, 0, 1
Let h be ((-32)/48)/((-4)/(-102)). Let q(o) = 2*o + 34. Let p be q(h). Determine g, given that 6/7*g**4 - 6/7*g**3 + 0*g - 2/7*g**5 + p + 2/7*g**2 = 0.
0, 1
Let b(u) be the first derivative of -3/25*u**5 + 0*u**3 + 0*u**4 - 1/10*u**6 - 4 + 0*u + 0*u**2. Factor b(r).
-3*r**4*(r + 1)/5
Let s(l) = l**2 - 3. Let a(c) = c**2 - 6. Let u be ((-1)/3)/((-2)/30). Let h(w) = u*s(w) - 2*a(w). Solve h(q) = 0 for q.
-1, 1
Let z be -5*(39/15 + -3). Factor 0*w**3 + 0*w - 1/3*w**4 + 0 + 1/3*w**z.
-w**2*(w - 1)*(w + 1)/3
Suppose -3 = -p - 2. Let d = 4 - p. Factor 0*n**2 - n**2 - d*n**3 + 4*n**3.
n**2*(n - 1)
Factor 0 - 49/4*t**4 + t + 21/4*t**3 + 6*t**2.
-t*(t - 1)*(7*t + 2)**2/4
Let c(p) = -p**4 - p**3 + p**2 + p. Let m(o) be the first derivative of -o**4/2 - 4*o**3/3 - o**2 + 4. Let x(v) = c(v) + m(v). Factor x(q).
-q*(q + 1)**3
Let u(v) be the third derivative of -v**11/332640 + v**10/75600 - v**9/60480 - v**5/20 + v**2. Let o(w) be the third derivative of u(w). Factor o(y).
-y**3*(y - 1)**2
Suppose 0 = -4*c + 3 + 5. Find l, given that 4*l - l**c + 8*l**3 - 13 - 2*l**4 - 9*l**2 + 13 = 0.
0, 1, 2
What is u in 10/11*u**4 + 8/11*u**3 + 0 + 0*u + 4/11*u**5 + 2/11*u**2 = 0?
-1, -1/2, 0
Let l(m) be the second derivative of m**6/150 + m**5/50 - m**4/60 - m**3/15 + 11*m. Let l(k) = 0. Calculate k.
-2, -1, 0, 1
Let 11*a + 121/2 + 1/2*a**2 = 0. Calculate a.
-11
Let b(o) be the second derivative of -1/20*o**5 + 2/3*o**3 + 4*o**2 - 1/6*o**4 + 5*o + 0. Suppose b(s) = 0. What is s?
-2, 2
Factor 6/7*d**5 + 0 + 2*d**3 + 4/7*d**2 + 16/7*d**4 + 0*d.
2*d**2*(d + 1)**2*(3*d + 2)/7
Factor 0*w**2 - 268 + 268 - 2*w**2 - 4*w + 2*w**3.
2*w*(w - 2)*(w + 1)
Suppose -3/5*c**4 + 4/5*c**2 + 0*c**3 + 1/5*c**5 + 0*c + 0 = 0. What is c?
-1, 0, 2
Let q be ((-2)/(-3) - 1)/(-1). Let h(g) = -g**2 - 5*g - 6. Let c be h(-2). Factor q*l**2 - 1/3 + c*l.
(l - 1)*(l + 1)/3
Let a = 592/1749 - -4/159. Factor -a*x**3 + 2/11*x**4 + 2/11*x**5 + 2/11*x + 2/11 - 4/11*x**2.
2*(x - 1)**2*(x + 1)**3/11
Let s(i) be the second derivative of i**9/15120 - i**8/3360 + i**7/2520 - i**4/12 + i. Let v(d) be the third derivative of s(d). Factor v(a).
a**2*(a - 1)**2
Factor -1/2*k**2 + 1/2*k**4 + 0 + 0*k**3 + 0*k.
k**2*(k - 1)*(k + 1)/2
Let p = 0 - -3. Let n(m) be the first derivative of 0*m + 1 - 6/35*m**5 + 0*m**p - 1/14*m**4 + 0*m**2. Factor n(c).
-2*c**3*(3*c + 1)/7
Let r(f) = -8*f**4 + 11*f**3 - 5*f. Let h(m) be the third derivative of 3*m**7/70 - m**6/10 + m**4/4 - 4*m**2. Let v(c) = -2*h(c) - 3*r(c). Factor v(q).
3*q*(q - 1)**2*(2*q + 1)
Factor 0*x**3 + 17*x**2 + 160*x - 149*x**2 - 64 + 40*x**3 - 4*x**4.
-4*(x - 4)**2*(x - 1)**2
Let c(f) = f**3 - 6*f**2 + 2*f - 9. Let l be c(6). Suppose -l*k + 0*k = 0. Factor 0*r + 0*r**2 + k + 1/3*r**5 + 0*r**3 + 1/3*r**4.
r**4*(r + 1)/3
Let m(x) be the third derivative of -x**9/1890 + x**8/480 - x**7/630 - x**6/360 - x**4/12 + 4*x**2. Let s(q) be the second derivative of m(q). Factor s(d).
-2*d*(d - 1)**2*(4*d + 1)
Let a be -1 + 0 + ((-18)/(-4))/3. Let -1/4*o**2 - a + 3/4*o = 0. What is o?
1, 2
Factor 1/5*u + 2/5 - 1/5*u**2.
-(u - 2)*(u + 1)/5
Let t(u) = -u**2 - 11*u + 3. Let l(i) = -i**2 - i + 1. Let k(x) = -6*l(x) + 2*t(x). Factor k(m).
4*m*(m - 4)
Let g(f) = 3*f**3 - 3*f**2 + 3*f. Let l be g(1). Determine c, given that -1/2*c + 0 + 0*c**2 + 1/2*c**l = 0.
-1, 0, 1
Let v = 10709/2338 - 3/334. Let a = -121/28 + v. Determine m so that a*m**2 + 1/4*m - 1/2 = 0.
-2, 1
Factor -7*t**3 + 5*t**2 + 159 + t + t - 159.
-t*(t - 1)*(7*t + 2)
Let l(d) = -d**4 - d**3 + 1. Let y(b) = -6*b**4 - 2*b**3 + 3*b**2 - 7*b - 1. Let v(r) = 15*l(r) - 3*y(r). Factor v(q).
3*(q - 3)*(q - 2)*(q + 1)**2
Suppose 0 = -3*r + 20 - 2. Factor -r*y**3 + 3*y + 6 - 7*y**2 + 3*y**3 + y**2.
-3*(y - 1)*(y + 1)*(y + 2)
Let t(u) = 140*u**3 + 378*u**2 + 202*u + 27. Let v(o) = -140*o**3 - 377*o**2 - 203*o - 28. Let c(k) = -2*t(k) - 3*v(k). Solve c(w) = 0.
-2, -3/7, -1/4
Let b(d) be the third derivative of 0*d**3 - 1/210*d**7 - 2*d**2 + 0*d + 1/60*d**5 + 0 + 1/120*d**6 + 0*d**4 - 1/336*d**8. Factor b(h).
-h**2*(h - 1)*(h + 1)**2
Let a = 3 + -2. Let g be 2/2 - (-3 + 1). Factor -g + 2 - 21*t**3 + 6*t**2 + a.
-3*t**2*(7*t - 2)
Factor 0*l**2 + 0 - 8/3*l + 2/3*l**3.
2*l*(l - 2)*(l + 2)/3
Let s(r) = -9*r**2 - 12*r - 9. Let k(y) = 4*y**2 + 6*y + 5. Let w(i) = -14*k(i) - 6*s(i). Let w(t) = 0. What is t?
-4, -2
Factor 5*q**2 + 2*q**4 - 5*q**3 - q + 5*q**2 - 6*q**2.
q*(q - 1)**2*(2*q - 1)
Determine t so that 4*t**3 + 9/2*t**2 - 4*t - 2 - 5/2*t**4 = 0.
-1, -2/5, 1, 2
Suppose 3*f - 2*m + 6 = m, 0 = f + 2*m - 4. Suppose -2*i + f*i - 4*b + 18 = 0, i + 4*b - 17 = 0. Determine w, given that 1 + 1 - i - w**2 = 0.
-1, 1
Suppose 3*k - 10 = -1. Factor -8 + 10*r**2 - 24*r**k + 15*r**2 + 13*r**2 + 24*r.
-2*(r - 2)*(3*r + 2)*(4*r - 1)
Suppose -5*u = 3*l - 5 - 15, -4*u + 4 = 0. Factor -13*n + l*n - 2*n**2 + 6*n.
-2*n*(n + 1)
Let s = -38/3 + 13. Let b(j) be the second derivative of -s*j**2 + 0 - 1/2*j**3 - 5/36*j**4 + 7/90*j**6 - j + 3/20*j**5. Determine l, given that b(l) = 0.
-1, -2/7, 1
Let f(h) = -2*h**3 - 13*h**2 - 8*h - 9. Let x be f(-6). Let t(z) be the first derivative of 0*z**2 - 1 + 2/21*z**x + 0*z. Let t(j) = 0. What is j?
