*7/42 + 7*g**6/24 - 17*g**5/12 + 85*g**4/24 - 5*g**3 + 2*g**2 + 8. Factor i(m).
-5*(m - 3)*(m - 2)*(m - 1)**2
Let d(t) = -6*t**4 + 8*t**3 + 13*t**2 - 21*t + 1. Let m(j) = -6*j**4 + 9*j**3 + 12*j**2 - 21*j. Let c(p) = -6*d(p) + 5*m(p). Factor c(s).
3*(s - 1)**2*(s + 2)*(2*s - 1)
Suppose -3*g + 152 = 146. Solve g + 1/4*d**5 - d**4 - 5*d + 7/2*d**2 + 1/4*d**3 = 0.
-2, 1, 2
Suppose 2*j = -16 + 28. Suppose -j*y - 2 = -2*y + 3*k, -4*y + 2*k = -8. Factor 1/2*v**2 - 3/2*v + y.
(v - 2)*(v - 1)/2
Let b(c) be the second derivative of 0 + 1/10*c**6 - 1/4*c**4 + 0*c**3 + 3/20*c**5 - 4*c + 0*c**2 - 1/14*c**7. Suppose b(l) = 0. What is l?
-1, 0, 1
Let h be (-33)/(-9) + 1/3. Let f(t) be the second derivative of 1/9*t**h - 2*t + 0*t**3 + 0*t**5 - 1/45*t**6 + 0 - 1/3*t**2. Factor f(y).
-2*(y - 1)**2*(y + 1)**2/3
Let l(c) be the first derivative of c**4/4 - 5*c**3/3 + 4*c**2 - 4*c + 12. Suppose l(v) = 0. What is v?
1, 2
Let b be (-2)/(10/(-5))*2/6. Let v(r) be the second derivative of 2/15*r**6 + 2*r + 0 + 0*r**2 + 2/3*r**4 - 1/2*r**5 - b*r**3. Factor v(j).
2*j*(j - 1)**2*(2*j - 1)
Let q be (3 + 27/2)/3 - 3. Factor 0*p - p**4 - q*p**5 + 0 + 0*p**3 + 0*p**2.
-p**4*(5*p + 2)/2
Let v(a) be the first derivative of a**4/6 + 10*a**3/27 + 2*a**2/9 + 9. Determine n so that v(n) = 0.
-1, -2/3, 0
Let c(y) = y**4 + y**3 + y**2 + y. Let i(b) = 6*b**3 - 8*b**3 + 0*b**4 - 2*b**4. Let k(n) = -2*c(n) - 2*i(n). Suppose k(o) = 0. What is o?
-1, 0, 1
Let i be 20*((-1)/(-4) - 1). Let f be (2/5)/((-12)/i). Factor 0 - f*p - 1/2*p**2.
-p*(p + 1)/2
Suppose 4*f + 15 = -5*q + 51, -4*f - q = -20. Let u(p) be the second derivative of -1/3*p**2 - 1/3*p**3 + p - 1/30*p**5 + 0 - 1/6*p**f. Factor u(o).
-2*(o + 1)**3/3
Let n(p) be the second derivative of 1/54*p**4 - 3*p + p**2 + 0 + 2/9*p**3. Factor n(h).
2*(h + 3)**2/9
Let x(i) be the second derivative of i**7/70 - i**6/50 - 3*i**5/100 + i**4/20 + 6*i. Factor x(d).
3*d**2*(d - 1)**2*(d + 1)/5
Factor 2/3*y + 0 + 1/3*y**2.
y*(y + 2)/3
Let r(y) be the third derivative of 1/120*y**5 - 7*y**2 - 1/240*y**6 + 1/24*y**4 + 0 + 0*y**3 + 0*y. Factor r(a).
-a*(a - 2)*(a + 1)/2
Let f be 20/(-52) - 0 - 2/(-2). Solve 0 - 2/13*i**4 + 0*i - 8/13*i**2 + f*i**3 = 0 for i.
0, 2
Let o(l) = -7*l**3 - 5*l**2 + l + 8. Let j(u) = -20*u**3 - 16*u**2 + 4*u + 24. Let b(g) = -3*j(g) + 8*o(g). Factor b(h).
4*(h - 1)*(h + 1)*(h + 2)
Let o = -1/127 + 263/1143. Let -o*l**3 + 0*l**2 + 0*l + 0 + 2/9*l**5 + 0*l**4 = 0. Calculate l.
-1, 0, 1
Let x(f) be the first derivative of f**8/84 - 13*f**7/210 + f**6/8 - 7*f**5/60 + f**4/24 - 3*f**2/2 + 4. Let b(c) be the second derivative of x(c). Factor b(g).
g*(g - 1)**3*(4*g - 1)
Let z be 0*(-5)/10 + 2. Let b(p) be the second derivative of 0 + 1/9*p**3 - z*p - 1/36*p**4 - 1/6*p**2. Solve b(h) = 0.
1
Let w = 13 - 16. Let x(k) = k**5 + k**3. Let f(i) = -4*i**5 - i**4 - 6*i**3 + i**2. Let s(z) = w*f(z) - 15*x(z). Factor s(y).
-3*y**2*(y - 1)**2*(y + 1)
Factor 2/13*f**2 - 2/13*f**3 + 0 + 4/13*f.
-2*f*(f - 2)*(f + 1)/13
Let w = -9 + 13. Suppose w*m - 5*m + 4 = 0. Suppose 11/3*q**3 + 17/3*q + 43/3*q**m - 41/3*q**2 - 28/3*q**5 - 2/3 = 0. Calculate q.
-1, 1/4, 2/7, 1
Let u(m) be the second derivative of m**8/2240 - m**6/240 + 7*m**4/12 + 6*m. Let a(i) be the third derivative of u(i). Suppose a(r) = 0. What is r?
-1, 0, 1
Suppose -2*p + 3 - 3 = 0. Factor p + 0*r**4 + 0*r - 1/4*r**5 + 0*r**2 + 1/4*r**3.
-r**3*(r - 1)*(r + 1)/4
Let r(c) be the first derivative of -c**6/1080 - c**5/120 - c**4/36 - c**3/3 - 4. Let s(i) be the third derivative of r(i). Suppose s(z) = 0. Calculate z.
-2, -1
Let t be ((-10)/8 + 0)*16/(-80). Factor -v - t*v**4 - v**3 - 1/4 - 3/2*v**2.
-(v + 1)**4/4
Factor 40*o**4 - 33*o - 5*o**5 + 8*o**4 + 6 - 4*o**5 - 6*o**4 + 72*o**2 - 78*o**3.
-3*(o - 1)**4*(3*o - 2)
Let s(d) be the first derivative of 3*d**5/5 + d**4/4 - d**3 - d**2/2 - 10. Find c such that s(c) = 0.
-1, -1/3, 0, 1
Let h be (-100)/(-26) - 16/(-104). Let f(a) be the second derivative of -a**3 - 1/10*a**5 - 1/2*a**h - a**2 + 0 - a. Factor f(n).
-2*(n + 1)**3
Let z(j) be the second derivative of j**2 + 0 + 1/120*j**5 + 1/6*j**3 - 2*j + 1/16*j**4. Let o(k) be the first derivative of z(k). What is c in o(c) = 0?
-2, -1
Suppose 1/5*w**2 + w + 6/5 = 0. Calculate w.
-3, -2
Let f = 25 + -28. Let p be f + (-51)/(-30)*2. Factor 0 + 0*r**4 - 2/5*r**3 + p*r**5 + 0*r**2 + 0*r.
2*r**3*(r - 1)*(r + 1)/5
Factor -5*t**4 + 10*t + 14*t**2 - 22*t**2 - 17*t**2 + 20*t**3.
-5*t*(t - 2)*(t - 1)**2
Let n = 127 + -343. Let a be 6/n - 2/(-8). Suppose -2/9*k**2 - a + 4/9*k = 0. What is k?
1
Factor 4*r**4 - 2*r**5 + r**5 - 3*r**3 - 10*r**4 - 2*r**5.
-3*r**3*(r + 1)**2
Let m(t) be the first derivative of t**4/20 - 4*t**3/15 + 2*t**2/5 - 11. Factor m(o).
o*(o - 2)**2/5
Let a(x) = 5 + 15 - 1 - 6 - 10*x - x**2. Let n be a(-11). Factor 1/3*f**n + 0 + 0*f - 14/3*f**4 - 1/6*f**3.
-f**2*(4*f - 1)*(7*f + 2)/6
Let s(q) be the third derivative of -q**7/420 - q**6/180 + q**5/30 - q**3/2 + 3*q**2. Let j(o) be the first derivative of s(o). Solve j(x) = 0.
-2, 0, 1
Let h(v) = 4*v**4 + 4*v**3 - 4*v. Let a(o) = -5*o**4 - 4*o**3 - o**2 + 4*o. Let z(b) = 2*a(b) + 3*h(b). Solve z(u) = 0 for u.
-2, -1, 0, 1
Let n be 26/6 - (29 - 25). Let j(r) be the second derivative of -r - n*r**3 + 0 + 0*r**2 - 1/6*r**4. Determine g so that j(g) = 0.
-1, 0
Suppose 0 = 6*y - 2*y - 4. Let k(p) be the first derivative of 1/12*p**3 - 1/4*p + 0*p**2 - y. Factor k(m).
(m - 1)*(m + 1)/4
Let x = -2/481 + 1451/1924. Suppose 1/2*s - x + 1/4*s**2 = 0. What is s?
-3, 1
Let x(n) = 8*n**4 - 14*n**3 + 3*n**2 + 4*n - 6. Let j(r) = -9*r**4 + 15*r**3 - 3*r**2 - 3*r + 6. Let h(l) = -5*j(l) - 6*x(l). Find m such that h(m) = 0.
-1, 1, 2
Let t(i) be the third derivative of i**5/270 - i**4/27 + i**3/9 + 2*i**2. Factor t(h).
2*(h - 3)*(h - 1)/9
Let h(i) be the second derivative of -i**4/48 + i**3/4 - 9*i**2/8 + 6*i. Let h(z) = 0. What is z?
3
Let k(v) be the third derivative of -v**5/120 + v**4/12 - v**3/3 + 19*v**2. Factor k(m).
-(m - 2)**2/2
Suppose -4*w + 8 = -0. Solve -u**5 - u**3 - 2*u**4 + 2*u - 4*u**4 + 2*u**2 + u**w + 3*u**4 = 0 for u.
-2, -1, 0, 1
Let m(p) be the third derivative of 1/60*p**5 + 0 + 0*p - 1/24*p**3 + 4*p**2 + 1/32*p**4. Factor m(v).
(v + 1)*(4*v - 1)/4
Let w(i) be the third derivative of i**5/15 - 4*i**4/3 - 6*i**3 - 9*i**2 + 3. Solve w(m) = 0 for m.
-1, 9
Factor 2/3*m**5 + 32/3*m**3 - 14/3*m**4 + 32/3 - 32/3*m - 16/3*m**2.
2*(m - 2)**4*(m + 1)/3
Factor 3/7*p - 6/7*p**2 + 0 + 3/7*p**3.
3*p*(p - 1)**2/7
Let p(c) be the second derivative of -c**5/450 - c**4/180 + 2*c**2 + 7*c. Let x(h) be the first derivative of p(h). Factor x(i).
-2*i*(i + 1)/15
Find d such that 20*d**2 + 45*d**4 + 60*d**2 + 3*d**5 - 8*d**5 - 120*d**3 = 0.
0, 1, 4
Let s(g) be the first derivative of -9*g**7/280 - g**6/20 - g**5/40 + 4*g**3/3 + 2. Let d(x) be the third derivative of s(x). Let d(q) = 0. What is q?
-1/3, 0
Factor 1/8*n**3 + 0 - 1/2*n**2 + 1/2*n.
n*(n - 2)**2/8
Let -11 + 7*a**3 + 5*a**2 - 2*a**3 - 5*a + 6 = 0. Calculate a.
-1, 1
Let w = -6 + 9. Let c be w - (-5)/((-50)/(-306)). Factor 16/5 - c*o + 588/5*o**2 - 686/5*o**3.
-2*(7*o - 2)**3/5
Let f(y) = -y + 2. Let l be f(0). Determine b, given that 1/2*b - 1/6*b**3 - 1/3 + 0*b**l = 0.
-2, 1
Let l(p) be the first derivative of -3/4*p**4 - 1/2*p**2 + p**3 + 1/5*p**5 + 0*p + 1. Factor l(f).
f*(f - 1)**3
Let y(t) be the first derivative of -1/3*t**3 + 1/5*t**5 + 0*t - 1/4*t**4 - 3 + 1/2*t**2. Find c such that y(c) = 0.
-1, 0, 1
Let c = 41 - 38. Let t(b) be the first derivative of 1/12*b**4 + 0*b + 2 + 1/3*b**2 - 5/9*b**c - 1/6*b**6 + 1/3*b**5. What is y in t(y) = 0?
-1, 0, 2/3, 1
Factor 4*u**3 + 351*u**2 - u + 3*u - 346*u**2 + u**4.
u*(u + 1)**2*(u + 2)
Let p(d) be the third derivative of 7*d**5/12 - 235*d**4/24 - 35*d**3/3 + d**2 - 38*d. Suppose p(h) = 0. What is h?
-2/7, 7
Let u(q) be the first derivative of -1 + 2*q - 1/6*q**3 + 0*q**2 + 1/12*q**4. Let s(b) be the first derivative of u(b). Suppose s(k) = 0. What is k?
0, 1
Let 0 - 2/3*q**4 - 2/3*q**3 + 0*q + 4/3*q**2 = 0. Calculate q.
-2, 0, 1
Let r(n) be the first derivative of n**4/5 - 4*n**3/5 - 2*n**2/5 + 12*n/5 + 24. Determine m so that r(m) = 0.
-1, 1, 3
Let t be (3/5)/((-96)/20 + 5). Let b(g) be the first derivative of -1/9*g**2 - 2/27*g**t -