3*p(x). Let o(u) = 0. What is u?
-2
Let i(h) be the first derivative of h**3/9 + h**2/6 + 24. Factor i(w).
w*(w + 1)/3
Let u = -58 - -82. Let w be u/10 - 6/15. Factor 3*r - 13*r**2 + 5*r**w + 2*r**5 - 3*r + 6*r**4.
2*r**2*(r - 1)*(r + 2)**2
Let h(t) be the first derivative of -t**6/180 - 7*t**5/240 + t**4/24 - 2*t**3/3 + 3. Let k(o) be the third derivative of h(o). Determine i so that k(i) = 0.
-2, 1/4
Let s(f) be the first derivative of 9*f**6/10 - 12*f**5/5 + 3*f**4/5 - 6. Factor s(p).
3*p**3*(p - 2)*(9*p - 2)/5
Let t(y) = y**3 + 4*y**2 + 2*y - 2. Let v be t(-2). Let -2/9*h**v + 0 + 0*h = 0. Calculate h.
0
Let p(i) = 45*i**4 - 60*i**3 - 105*i**2 + 25. Let d(m) = 11*m**4 - 15*m**3 - 26*m**2 + 6. Let v(u) = -25*d(u) + 6*p(u). Suppose v(o) = 0. What is o?
-1, 0, 4
Let x = -4 - -4. Let q be x/2 + 5 + 0. Let h**4 - q*h**2 + 3*h**3 - 4 + 2*h - h**5 + 4 = 0. What is h?
-2, 0, 1
Let m be (-1 - -1)/(-3 - -3 - -2). Factor m - 2/7*w**2 + 4/7*w - 2/7*w**3.
-2*w*(w - 1)*(w + 2)/7
Factor 2/5*g**2 + 4/5*g + 2/5.
2*(g + 1)**2/5
Let h(y) be the first derivative of 5*y**3/3 + 15*y**2/2 - 20*y - 5. Factor h(z).
5*(z - 1)*(z + 4)
Let t(u) be the third derivative of 0*u**7 + 1/96*u**4 + 0*u**5 - 1/240*u**6 - u**2 + 0 + 0*u + 0*u**3 + 1/1344*u**8. Suppose t(p) = 0. Calculate p.
-1, 0, 1
Let f(o) be the second derivative of o**6/135 + o**5/90 - o**4/27 - 4*o. Factor f(q).
2*q**2*(q - 1)*(q + 2)/9
Let t = -43 - -133/3. Let l(u) be the third derivative of 0 - 1/10*u**5 + t*u**3 + 0*u + 0*u**4 + 2*u**2 - 1/60*u**6. Factor l(p).
-2*(p - 1)*(p + 2)**2
Let z(x) = x**2 + 6*x + 9. Let i be z(-5). Suppose -i*a + 24 = 4. Factor -2/5*o**3 + 0*o + 0 + 2/5*o**4 - 2/5*o**2 + 2/5*o**a.
2*o**2*(o - 1)*(o + 1)**2/5
Suppose 8*p = -4*k + 3*p + 16, -p = 2*k - 8. Let g(n) be the second derivative of 0*n**2 - 2*n + 1/6*n**3 - 1/20*n**5 + 0 + 0*n**k. Factor g(a).
-a*(a - 1)*(a + 1)
Let n(h) be the third derivative of h**9/30240 + h**8/2016 + h**7/360 + h**6/120 + h**5/30 - h**2. Let q(l) be the third derivative of n(l). Factor q(v).
2*(v + 1)**2*(v + 3)
Let x be 3/(18/8)*-3. Let n(q) = 18*q**2 + 10*q - 8. Let v(w) = -18*w**2 - 11*w + 7. Let b(k) = x*v(k) - 3*n(k). Factor b(f).
2*(f + 1)*(9*f - 2)
Let y be (10/(-35))/(1/(-7)). Let f be (-52)/40*y - -3. Factor -f*b - 2/5*b**2 + 0.
-2*b*(b + 1)/5
Factor 1 - 2*n**2 + 6*n**2 - 17.
4*(n - 2)*(n + 2)
Let z(a) = 54*a**2 - 30*a**2 - 4 - 26*a**2 + 2*a. Let r(x) = -2*x**2 + 2*x - 5. Let y = 15 - 11. Let w(f) = y*r(f) - 5*z(f). Factor w(o).
2*o*(o - 1)
Let g(k) be the second derivative of -3*k**5/20 + k**4/4 + k**3 - 25*k + 1. Solve g(y) = 0.
-1, 0, 2
Let v = 5 + -9. Let p be (-1)/(((-12)/(-9))/v). Factor -4*r**2 - 6*r - 2 + 8*r**p - 8*r**4 + 2*r + 10*r**2.
-2*(r - 1)**2*(2*r + 1)**2
Let p(c) = -c**3 + 5*c**2 - 3*c. Let a be p(4). Let r**2 + a*r**2 - 6*r**2 + 2*r - 4 + 2*r = 0. Calculate r.
2
Suppose 28*n**4 + 48*n**3 - n + 5*n + 10*n**5 + 6*n**4 + 22*n**2 - 6*n**3 = 0. Calculate n.
-1, -2/5, 0
Suppose 6 = 4*t - t. Let j be (-2)/(1 - t - 0). Solve 0*q**3 + q + 5*q - 6*q**j + 2*q**3 - 2 = 0 for q.
1
Let b = 3 + -1. Factor 1 + b*w**3 + 0*w**3 + 1 - 4*w**2 - 2*w + 2*w**2.
2*(w - 1)**2*(w + 1)
Let m(u) be the third derivative of -u**6/20 + 31*u**5/120 - 5*u**4/16 + u**3/6 - 26*u**2. Factor m(n).
-(n - 2)*(3*n - 1)*(4*n - 1)/2
Let y be ((-18)/(-24))/(27/104). Solve -y*k**4 + 8/9*k**2 + 0*k - 8/9*k**3 + 0 - 10/9*k**5 = 0.
-2, -1, 0, 2/5
Let c(d) be the second derivative of d**8/20160 + d**7/2520 + d**6/720 + d**5/360 + d**4/4 + d. Let o(y) be the third derivative of c(y). Factor o(n).
(n + 1)**3/3
Let k(q) be the third derivative of 2*q**2 + 0*q**3 + 0*q**4 + 0 + 0*q - 1/20*q**6 + 1/70*q**7 + 1/20*q**5. What is h in k(h) = 0?
0, 1
Let x(j) = 7*j**2 + 4*j**3 + j**5 - 3*j + 0*j**3 - 2*j**2 - 3*j**2. Let y(a) = -a**5 - a**3 - a**2 + a. Let p(u) = x(u) + 2*y(u). Factor p(s).
-s*(s - 1)**2*(s + 1)**2
Let p = 0 + 5. Suppose p*a = 3 + 7. Determine k, given that -2/5 - 4/5*k**a + 6/5*k = 0.
1/2, 1
Determine q, given that -64*q**4 + 3*q**2 + q - 5*q + 64*q**3 + q**2 = 0.
-1/4, 0, 1/4, 1
Factor 23*v**3 + 16*v**2 - 20*v + 11 - 27*v**3 - 3.
-4*(v - 2)*(v - 1)**2
Let b(q) = q**3 + 8*q**2 + 8*q + 3. Let w be b(-7). Let u = w + 6. Determine g, given that 9*g - 7*g**3 - 3*g**u - g + 4 - 2*g**3 = 0.
-2/3, 1
Suppose 5*z = -y - 129, y + 58 = -2*z + 7. Let h = z + 38. Let -4*f**2 - 6 - h*f - 9*f - 5*f**2 = 0. What is f?
-2, -1/3
Let m(q) be the third derivative of q**9/1260 + q**8/168 + q**7/630 - q**6/30 + q**4/3 - 3*q**2. Let f(n) be the second derivative of m(n). Factor f(g).
4*g*(g + 1)*(g + 3)*(3*g - 2)
Let a be 2148/476 - (-19)/323. Factor a + 2/7*l**2 - 16/7*l.
2*(l - 4)**2/7
Let s be -1 + (3 - -2) + -1. Let t(c) be the second derivative of -1/5*c**5 + 3*c + 0 - 5/12*c**4 + 0*c**2 - 1/6*c**s. Factor t(f).
-f*(f + 1)*(4*f + 1)
Suppose -7 = -r + j - 0, 2*r = -3*j - 6. Factor 3*n**3 - 6*n + 0 + 4*n - 2*n**2 + 2 - n**r.
2*(n - 1)**2*(n + 1)
What is i in -2423 - 145*i**3 - 25*i**2 - 56*i**3 - 3*i**5 + 2352*i - 458*i**2 + 51*i**4 + 6539 = 0?
-2, 7
Factor -2/3 - 16/3*m**3 + 5*m - 8*m**2.
-(m + 2)*(4*m - 1)**2/3
Let n(r) be the second derivative of 0 + 1/12*r**4 + 7*r + 1/3*r**2 + 1/60*r**5 - 5/18*r**3 - 1/90*r**6. Find d such that n(d) = 0.
-2, 1
Let s(n) = -8*n**4 - 25*n**3 + 17*n**2 - 17*n - 17. Let u(k) = -k**4 - 3*k**3 + 2*k**2 - 2*k - 2. Let w(d) = -6*s(d) + 51*u(d). Factor w(q).
-3*q**3*(q + 1)
Factor 15/2*i**2 - 5/2*i + 10*i**3 + 0.
5*i*(i + 1)*(4*i - 1)/2
Factor 28*i**5 - 9*i**4 - 6*i + i**2 - 25*i**5 + 8*i**2 + 3*i**3.
3*i*(i - 2)*(i - 1)**2*(i + 1)
Suppose y + 9 = 3*f, f + 4*y + 8 + 2 = 0. Let t(d) = 2*d**2 - 2*d - 2. Let l be t(-1). Factor -a**5 + 4*a**2 - 2*a**2 + a**4 - l*a**f + a**3 - a**2.
-a**2*(a - 1)**2*(a + 1)
Let x(j) be the second derivative of 1/66*j**4 + 1/11*j**2 + 2/33*j**3 + 0 + j. Let x(w) = 0. Calculate w.
-1
Let c(l) = -20*l**2 + 28*l - 16. Let q(z) = 7*z**2 - 9*z + 5. Let b(t) = -3*c(t) - 8*q(t). Factor b(p).
4*(p - 2)*(p - 1)
Let v be (-24)/(1*15/(-39)). Let t = -62 + v. What is d in -4/5*d - t - 2/5*d**2 = 0?
-1
Let k(g) be the third derivative of g**6/900 + g**5/150 - g**4/45 - 4*g**3/15 + 14*g**2. Factor k(a).
2*(a - 2)*(a + 2)*(a + 3)/15
Let h = -18 + 18. Solve 1/2*p**2 + h*p + 7*p**4 + 0 - 15/4*p**3 = 0 for p.
0, 1/4, 2/7
Let y = -204 - -613/3. Suppose -q = -5*z - 6*q, 2*q + 12 = z. Suppose -t**2 + 2/3*t**z - 1/3*t**3 + y + 1/3*t = 0. Calculate t.
-1, -1/2, 1
Let 0 + 8/3*b - 4/3*b**2 = 0. What is b?
0, 2
Let n be 5/(-5) - (-771)/1672. Let a = 1/152 - n. Factor 0 + 4/11*j**2 + a*j**3 + 0*j + 2/11*j**4.
2*j**2*(j + 1)*(j + 2)/11
Let y(b) be the first derivative of -b**6/3 - 8*b**5/15 + 10*b**4/9 + 20*b**3/27 - 11*b**2/9 + 4*b/9 - 6. Determine r, given that y(r) = 0.
-2, -1, 1/3, 1
Let v be (40/(-12))/((-6)/9). Let c be 17/21 + v/15. Factor -c*f - 2/7*f**2 - 8/7.
-2*(f + 2)**2/7
Suppose 14*l - 15 = 9*l. Let s(f) be the first derivative of f - 1 - 3/4*f**2 + 1/8*f**4 + 0*f**l. Let s(d) = 0. What is d?
-2, 1
Let s(o) be the second derivative of o**6/10 - 3*o**5/10 + o**4/4 - 6*o. Suppose s(h) = 0. What is h?
0, 1
Let p = -188 - -188. Factor -2/13 + p*g + 2/13*g**2.
2*(g - 1)*(g + 1)/13
Let o = -8 - -13. Let n(x) be the second derivative of 1/3*x**3 + 0 - 1/24*x**4 - 4*x + 1/4*x**2 - 1/10*x**o. Let n(q) = 0. Calculate q.
-1, -1/4, 1
Let k(c) = -2*c**3 + 22*c**2 - 42*c + 18. Let p(j) = 2*j**3 - 21*j**2 + 42*j - 17. Let d(b) = 3*k(b) + 2*p(b). Factor d(a).
-2*(a - 10)*(a - 1)**2
Let k(b) be the second derivative of -b**6/90 - b**5/60 + b**4/36 + b**3/18 + 19*b. Factor k(z).
-z*(z - 1)*(z + 1)**2/3
Let l(w) be the third derivative of -1/105*w**5 + 0*w + 0 + 1/735*w**7 + w**2 + 1/21*w**3 + 0*w**4 + 0*w**6. Factor l(h).
2*(h - 1)**2*(h + 1)**2/7
Let n(r) be the third derivative of r**7/420 - r**5/120 + 10*r**2. Factor n(q).
q**2*(q - 1)*(q + 1)/2
Let 8*l + 13*l**2 - 14*l**2 - 4 - 4 + 1 = 0. What is l?
1, 7
Let l(q) be the third derivative of -q**6/240 - q**5/40 - q**4/24 + 39*q**2. Find s, given that l(s) = 0.
-2, -1, 0
Let h(t) be the second derivative of t**6/210 + 3*t**5/140 + t**4/28 + t**3/42 - 24*t. Factor h(o).
o*(o + 1)**3/7
Suppose -6*i - 16*i**2 - 8*i - 10 + 2 - 4*i**3 - 6*i = 0. Calculate i.
-2, -1
Suppose 3*g + 14 = 2*d, 5*d - 28 = 