g - 2)/7
Factor -23*g - 117*g - 29*g**3 - 11*g**3 - 115*g**2 + 489*g**4 - 60 - 494*g**4.
-5*(g + 1)*(g + 2)**2*(g + 3)
Let v(n) = n**2 + 6*n - 18. Let y be v(-8). Let p be (-30)/195 - y/13. Solve 0*u + 2/9*u**4 - 2/9*u**3 + p*u**2 + 0 = 0.
0, 1
Let i(p) be the second derivative of -p**4/48 + 5*p**3/12 + 11*p**2/8 + 8*p. Factor i(d).
-(d - 11)*(d + 1)/4
Let l(u) be the second derivative of 9/10*u**3 - 3/5*u**2 + 3*u + 3/50*u**6 - 9/20*u**4 + 0 - 3/100*u**5. Let l(z) = 0. What is z?
-2, 1/3, 1
Let t be -3 + 21/(-3 + 6). Factor -2*o**t + o**2 - o**2 + 2*o**2.
-2*o**2*(o - 1)*(o + 1)
Suppose 2/13*b + 2/13*b**2 + 0 = 0. What is b?
-1, 0
Suppose 48 = 5*j + 8. Let i(b) = b**3 - 8*b**2 + 9*b - 10. Let l be i(7). Factor 8 + 0*k**2 + l*k**2 - 2*k**2 + j*k.
2*(k + 2)**2
Let p(h) be the second derivative of -h**7/189 + 2*h**6/135 - h**4/27 + h**3/27 + 14*h. Let p(s) = 0. Calculate s.
-1, 0, 1
Let l(d) be the first derivative of d**3/9 - d**2/9 - 13. Factor l(u).
u*(3*u - 2)/9
Let g(a) be the third derivative of -5*a**8/84 + a**7/14 + 3*a**6/8 + a**5/6 - 22*a**2. Find n, given that g(n) = 0.
-1, -1/4, 0, 2
Let z(t) be the third derivative of 0 + 7*t**2 - 1/15*t**5 - 1/6*t**3 + 5/24*t**4 + 0*t. Solve z(h) = 0.
1/4, 1
Let h(y) be the third derivative of y**5/12 + 5*y**4/24 - 9*y**2. Let h(z) = 0. What is z?
-1, 0
Suppose 0 = -4*t + 1 + 7. Factor 4*j + 2*j**t + 8 - 6*j + 0*j - 6*j.
2*(j - 2)**2
Factor -14/15*n**4 + 0 - 8/3*n**2 + 12/5*n**3 + 2/15*n**5 + 16/15*n.
2*n*(n - 2)**3*(n - 1)/15
Let u(b) be the first derivative of -b**5/40 + b**4/12 + 2*b - 2. Let g(n) be the first derivative of u(n). Factor g(p).
-p**2*(p - 2)/2
Let d(k) be the third derivative of 1/525*k**7 + 1/150*k**5 - 1/150*k**6 + 0 + 0*k**3 + 0*k + 0*k**4 + 4*k**2. Factor d(z).
2*z**2*(z - 1)**2/5
Let l(u) be the third derivative of 0*u**3 + 1/245*u**7 + 0 + 1/210*u**5 + 1/1176*u**8 - 7*u**2 + 1/140*u**6 + 0*u + 0*u**4. Factor l(v).
2*v**2*(v + 1)**3/7
Let i(x) be the first derivative of -2 + 0*x**3 + 3/8*x**2 - 1/16*x**4 + 1/2*x. Let i(p) = 0. Calculate p.
-1, 2
Let d = -2/945 + 67/1890. Let p(u) be the third derivative of u**2 + 0 + 0*u**4 + 0*u**3 + d*u**5 + 0*u. Factor p(y).
2*y**2
Let r(w) = -w**2 - 10*w - 6. Let s = 3 - 12. Let k be r(s). Factor -4/9*j**2 + 4/9*j**4 + 0 + 2/9*j + 0*j**k - 2/9*j**5.
-2*j*(j - 1)**3*(j + 1)/9
Let a(k) be the second derivative of k**5/40 - 3*k**4/8 + 9*k**3/4 + 2*k**2 + 2*k. Let i(r) be the first derivative of a(r). Let i(g) = 0. Calculate g.
3
Let i(h) = 7*h**3 + 10*h**2 + 11*h - 4. Let p(g) = -1 + 3*g - 3 - g**2 + 5 - 4*g - g**3. Let o(u) = -i(u) - 6*p(u). Factor o(l).
-(l + 1)**2*(l + 2)
Let a(k) be the second derivative of -k**5/20 + k**4/12 + k**3/6 - k**2/2 - 12*k. Factor a(m).
-(m - 1)**2*(m + 1)
Find f such that 5/3 - 4/3*f - 1/3*f**2 = 0.
-5, 1
Let z(s) be the second derivative of 9*s**4/14 - 4*s**3/7 + 4*s**2/21 - 3*s. Factor z(w).
2*(9*w - 2)**2/21
What is p in 0*p + 2/5*p**2 - 8/5 = 0?
-2, 2
Solve 0*z**4 - 28*z**4 - 38*z**3 - 18*z**3 - 4*z**5 - 36*z - 8*z**2 + 96*z + 36 = 0.
-3, -1, 1
Let q be 44/20 + -2 - -1. Find l, given that 3/5*l**2 - q*l + 3/5 = 0.
1
Let d(f) be the third derivative of -f**8/4480 + f**7/1680 + f**4/24 - 5*f**2. Let p(l) be the second derivative of d(l). What is q in p(q) = 0?
0, 1
Let c(h) be the first derivative of 5*h**6/2 + 36*h**5/5 + 27*h**4/4 + 2*h**3 - 14. What is f in c(f) = 0?
-1, -2/5, 0
Find q, given that 0*q**2 - 4*q**2 + 22 + 2*q**3 + 10*q - 26 - 4*q**2 = 0.
1, 2
Let b(j) = -5*j**3 + 5*j**2 - 3*j + 3. Let s(n) = -n**3 + n**2 - n + 1. Let r be 6/8 - 99/(-12). Let x = 5 - r. Let u(a) = x*s(a) + b(a). Factor u(v).
-(v - 1)**2*(v + 1)
Let r(q) be the third derivative of q**5/120 + q**4/48 + 15*q**2. Suppose r(v) = 0. Calculate v.
-1, 0
Let w(s) = s**3 - 7*s**2 - 8*s + 1. Let h be w(8). Let b(p) = p**3 + 2*p - 1. Let x be b(h). Factor -3*y**3 - x*y + 2*y**3 + 3*y.
-y*(y - 1)*(y + 1)
Factor 3/5 + 9/5*l + 6/5*l**2.
3*(l + 1)*(2*l + 1)/5
Let f = -4367/966 + 110/23. Let y = f + 15/14. Factor -2/3*h**2 + 2/3*h + y.
-2*(h - 2)*(h + 1)/3
Let w be 22/6 - (-6)/(-9). Let g(a) = -a. Let j(n) = -n**2 + 3*n - 3. Let u(f) = w*j(f) + 21*g(f). Suppose u(c) = 0. Calculate c.
-3, -1
Factor -1/3*o**2 + 1/6*o**5 - 1/6 + 1/3*o**3 - 1/2*o + 1/2*o**4.
(o - 1)*(o + 1)**4/6
Factor 1/5*u**4 - 4096/5 + 47/5*u**3 + 3328/5*u + 144*u**2.
(u - 1)*(u + 16)**3/5
Let d(u) be the third derivative of 0 + 0*u - 5*u**2 + 1/60*u**5 + 0*u**3 + 1/24*u**4. Factor d(f).
f*(f + 1)
Factor -2/3*d + 2/3*d**2 + 0.
2*d*(d - 1)/3
Find m, given that -30/7*m**2 - 9/7*m**3 + 24/7 - 12/7*m = 0.
-2, 2/3
Let 32/3*v + 10/3*v**3 - 34/3*v**2 - 8/3 = 0. What is v?
2/5, 1, 2
Let p = 692/5 - 138. Find j, given that 2/5*j**2 - 4/5*j + p = 0.
1
Let p be ((-25)/125)/(6/(-40)). What is v in p*v + 0 + 2*v**2 = 0?
-2/3, 0
Find f such that 2/5*f**3 + 0 - 2/5*f - 1/5*f**4 + 1/5*f**2 = 0.
-1, 0, 1, 2
Let o(n) = n**2 + 4*n - 3. Let w be o(-5). Let h = 1 + w. Factor 2*s**3 - s**h + 0*s**3.
s**3
Determine j, given that -9*j - 16 - 2*j**3 - 17*j**2 - 23*j - 8*j = 0.
-4, -1/2
Suppose 5*j - 4*f + 12 = 4*j, -3 = -f. Suppose w = -j*w. Factor 0*c + 2/7*c**5 + 0*c**3 + w*c**2 + 2/7*c**4 + 0.
2*c**4*(c + 1)/7
Let c(d) be the third derivative of -d**6/210 - d**5/105 + 2*d**4/21 + 8*d**3/21 - d**2. Let c(i) = 0. What is i?
-2, -1, 2
Solve -2/3 + g**4 + 7/3*g**3 - 7/3*g - 1/3*g**2 = 0 for g.
-2, -1, -1/3, 1
Solve -50/9 - 20/9*u - 2/9*u**2 = 0.
-5
Factor 4*z**2 + 5*z**2 - 6*z**2 - 18*z + 27.
3*(z - 3)**2
Let l = -73 + 78. Let a(t) be the second derivative of -2*t**2 - 1/10*t**l + 0 - 5/3*t**3 - 3*t - 2/3*t**4. Factor a(r).
-2*(r + 1)**2*(r + 2)
Let c(n) be the second derivative of n**5/80 + 3*n**4/16 + 5*n**3/8 + 7*n**2/8 - 19*n. Factor c(a).
(a + 1)**2*(a + 7)/4
Let w(q) be the second derivative of -3*q**4/4 + 8*q**3/3 + 2*q**2 - 8*q. Let w(r) = 0. What is r?
-2/9, 2
Let n = 193/357 - -15/119. Let 0 - n*b**2 - 4/3*b + 2/3*b**3 = 0. Calculate b.
-1, 0, 2
Let f be (-445)/275 + 2 - 4/20. Factor 0 - 2/11*p + f*p**2.
2*p*(p - 1)/11
Let m(g) = -g**2 + 13*g + 20. Let k be m(14). Let h(f) = 15*f**4 - 27*f**3. Let t(y) = 14*y**4 - 27*y**3 - y**2. Let p(r) = k*t(r) - 7*h(r). Factor p(i).
-3*i**2*(i - 1)*(7*i - 2)
Let j be 4*(-36)/96*4/(-30). Factor -1/5*i**2 + 0*i + j.
-(i - 1)*(i + 1)/5
Let b(j) be the first derivative of -j**6/540 + j**5/180 + 2*j**3/3 - 2. Let u(c) be the third derivative of b(c). Factor u(m).
-2*m*(m - 1)/3
Let w(k) = 2*k**4 - 9*k**3 + k**2 - 3*k + 3. Let i(b) = -2*b**4 + 10*b**3 + 4*b - 4. Let l(u) = -3*i(u) - 4*w(u). Find z such that l(z) = 0.
0, 1, 2
Let o(s) be the second derivative of -s**6/15 - 9*s**5/20 - 7*s**4/6 - 3*s**3/2 - s**2 - 18*s. Factor o(h).
-(h + 1)**2*(h + 2)*(2*h + 1)
Let q(l) = 12*l**4 - 17*l**3 - 24*l**2 - 17*l + 29. Let a(w) = 4*w**4 - 8*w**2 - 6*w**3 - 13 - 6*w + 24 - 1. Let i(s) = 17*a(s) - 6*q(s). Factor i(y).
-4*(y - 1)**2*(y + 1)**2
Let m(z) be the first derivative of z**7/840 + z**6/60 + 3*z**5/40 - 7*z**3/3 + 1. Let i(o) be the third derivative of m(o). Determine q, given that i(q) = 0.
-3, 0
Factor 270*y**3 - 517*y**3 + 262*y**3 - 20*y**2.
5*y**2*(3*y - 4)
Suppose c - 4 + 0 = -d, 4*c + 24 = 4*d. Let a(h) be the first derivative of -1/3*h**2 + 0*h**d + 0*h**3 - 1/9*h**6 + 0*h + 1/3*h**4 - 2. Factor a(v).
-2*v*(v - 1)**2*(v + 1)**2/3
Suppose 3*d + d = -4*k + 28, 19 = -3*d + 5*k. Let i be 2 - (0 + (2 - d)). Solve i + 3*n**2 + 2*n**2 + n - 5*n - 3*n**2 = 0.
1
Let s = -12 + 15. Let d be 3/s - 3/5. Determine h so that 0*h**4 + 0*h**2 + 2/5*h**5 - d*h**3 + 0*h + 0 = 0.
-1, 0, 1
Let i(a) = -21*a**3 + 33*a**2 - 12*a - 6. Let y(s) = 42*s**3 - 65*s**2 + 23*s + 11. Let v(l) = -11*i(l) - 6*y(l). Factor v(w).
-3*w*(w - 1)*(7*w - 2)
Let x be ((-8)/6)/((-10)/15). Factor 2/11*p**x + 4/11 + 6/11*p.
2*(p + 1)*(p + 2)/11
Let r(h) be the first derivative of -7*h**6/10 + 36*h**5/25 + 3*h**4/5 - 14*h**3/5 + 9*h**2/10 + 6*h/5 - 6. What is n in r(n) = 0?
-1, -2/7, 1
Let a = 0 + 2. Suppose -w = a*w. Factor -1/3*k - 1/3*k**2 + w.
-k*(k + 1)/3
Suppose -9/5 - 6/5*z + 3/5*z**2 = 0. What is z?
-1, 3
Let p(w) = -w**3 - w**2 + w. Let y(o) = -10*o**3 - 9*o**2 + 9*o. Let l = -10 - 8. Let k(b) = l*p(b) + 2*y(b). Factor k(i).
-2*i**3
Let q(n) be the third derivative of n**9/181440 + n**8