1)**2*(u + 1)/4
Let i(z) be the second derivative of z**7/2940 + z**6/630 + z**5/420 - 2*z**3/3 - 4*z. Let l(o) be the second derivative of i(o). Factor l(f).
2*f*(f + 1)**2/7
Let f(p) be the second derivative of 3*p + 1/10*p**2 - 1/10*p**3 - 1/100*p**5 + 1/20*p**4 + 0. Find z such that f(z) = 0.
1
Let z(v) = v. Let h be z(4). Let g be h/(-6) - 16/(-6). Factor 8 + t**4 - 8 - t**g.
t**2*(t - 1)*(t + 1)
Let b be (228/(-56) - -4)*-12. Factor 2/7*w**2 - b*w + 4/7.
2*(w - 2)*(w - 1)/7
Suppose 3*m + 22 = 5*n, 3*m = 2*m - 2*n. Let j be (-36)/(-48) + (-9)/m. Factor 1/4*p**4 - 1/4*p**2 + 1/4*p**5 - 1/4*p**j + 0*p + 0.
p**2*(p - 1)*(p + 1)**2/4
Let a(w) be the second derivative of w**6/165 + w**5/110 - w**4/66 - w**3/33 - 2*w. Solve a(b) = 0.
-1, 0, 1
Suppose 0 = -5*j - 0*j. Let l(k) be the first derivative of j*k**2 + 1/20*k**4 + 0*k**3 + 3 + 0*k. Factor l(i).
i**3/5
Factor -23*n + 3*n**3 - 2930*n**2 + 83*n - 48 + 2906*n**2.
3*(n - 4)*(n - 2)**2
Let d(y) be the third derivative of y**8/20160 - y**7/5040 - y**5/20 - 2*y**2. Let l(z) be the third derivative of d(z). Suppose l(n) = 0. What is n?
0, 1
Suppose 0 = -4*l + 2*n, -4*l + 5*n - 14 = -l. Suppose -4/11*i + 0 + 14/11*i**l = 0. Calculate i.
0, 2/7
Let d be ((-6)/10)/((-170)/(-25) - 7). Factor 2/11*q + 0*q**2 + 0 - 2/11*q**d.
-2*q*(q - 1)*(q + 1)/11
Factor -2/11 + 6/11*i + 6/11*i**4 - 4/11*i**2 - 2/11*i**5 - 4/11*i**3.
-2*(i - 1)**4*(i + 1)/11
Determine b, given that 5*b**3 - 12*b + 4*b**3 - 155*b**4 + 36*b**2 + 131*b**4 - 6*b**5 - 3*b**5 = 0.
-2, 0, 1/3, 1
Let j(o) be the second derivative of 0 - 3*o + 15/4*o**3 + 3/40*o**5 + 27/4*o**2 + 7/8*o**4. Find w, given that j(w) = 0.
-3, -1
Suppose 3*s + s = 16. Factor g + 0*g**5 - g**5 + 2*g**2 + 0*g**4 - 2*g**s + 0*g**5.
-g*(g - 1)*(g + 1)**3
Let q(u) be the third derivative of 0*u**3 - 1/480*u**6 - 1/96*u**4 + 0*u + 1/120*u**5 + 2*u**2 + 0. Let q(y) = 0. Calculate y.
0, 1
Let r(m) be the second derivative of 27*m**4/4 + 6*m**3 + 2*m**2 - 7*m. Factor r(h).
(9*h + 2)**2
Let g(l) = 2*l + 2. Let b be g(0). Determine n, given that -n**4 - 2*n**5 + 2 + n**3 - 5*n**4 - 5*n**3 + 6*n + 4*n**b = 0.
-1, 1
Let a(h) = -h**2 - 4*h + 7. Let f be a(-5). Let y(u) be the first derivative of 1/3*u**f - 2 + 0*u - 2/9*u**3. Suppose y(g) = 0. Calculate g.
0, 1
Let -131*i**3 - 129*i - 8 + 9*i + 1151*i**3 - 578*i**4 - 314*i**2 = 0. Calculate i.
-2/17, 1
Let -2*x**3 + x**3 + 5*x**3 - 2*x**4 = 0. What is x?
0, 2
Let r(k) be the first derivative of k**6/2 + 2*k**5/5 - k**4/4 + 11. Factor r(w).
w**3*(w + 1)*(3*w - 1)
Let u(l) be the third derivative of -l**11/99792 + l**10/32400 - l**9/45360 - l**5/20 - 4*l**2. Let j(c) be the third derivative of u(c). Factor j(w).
-2*w**3*(w - 1)*(5*w - 2)/3
Suppose -1/3*m**2 - 26/3*m - 169/3 = 0. Calculate m.
-13
Let 4/9 + 10/9*q + 2*q**3 - 32/9*q**2 = 0. Calculate q.
-2/9, 1
Let r be (-1)/2 + (-13)/(-2). Let t = -4 + r. Let m**4 + 4*m**4 - 5*m**3 + 3*m**4 + m**t - 4*m**5 = 0. Calculate m.
0, 1/2, 1
Let i(h) be the third derivative of -h**8/84 + 2*h**7/35 - h**6/10 + h**5/15 - h**2. Factor i(d).
-4*d**2*(d - 1)**3
Let u be 34/6 - (-4)/(-6). Find n, given that -2*n**4 + 3*n**u + 0*n**5 + n**5 = 0.
0, 1/2
Let t(p) be the first derivative of -3 + 0*p - 9/16*p**4 + 9/8*p**2 - 3/20*p**5 + 1/4*p**3. Factor t(z).
-3*z*(z - 1)*(z + 1)*(z + 3)/4
Factor 4*j**2 + 2*j**3 - 5*j**2 - j**4 - 4*j**3.
-j**2*(j + 1)**2
Let l(s) = 19*s**5 - 35*s**4 + 35*s**3 + 3*s**2 - 11*s + 11. Let p(a) = 5*a**5 - 9*a**4 + 9*a**3 + a**2 - 3*a + 3. Let q(n) = -6*l(n) + 22*p(n). Factor q(g).
-4*g**2*(g - 1)**3
Let o be (-965)/425 + 2 + 1. Let m = o + 8/17. Factor -3/5*c**2 + 9/5 + m*c.
-3*(c - 3)*(c + 1)/5
Let h be (((-171876)/(-15))/1)/1074. Let i = -2/895 + h. Find z such that 0*z**4 - 1/3*z**2 + 2*z - 38/3*z**3 + 1/3 + i*z**5 = 0.
-1, -1/4, 1/2, 1
Let j = 611/7 - 87. Let x be (-5 - 0) + (-222)/(-42). Solve -x*g**3 + 2/7*g + j*g**2 - 2/7 = 0.
-1, 1
Let m(q) be the first derivative of 2 - 1/3*q**2 + 0*q + 4/9*q**3 - 1/6*q**4. Let m(z) = 0. Calculate z.
0, 1
Factor -20/7*p**2 - 16/7 - 48/7*p.
-4*(p + 2)*(5*p + 2)/7
Let w(d) be the second derivative of 4/15*d**3 + 0 + 1/100*d**5 - 2*d - 2/5*d**2 - 1/12*d**4. Let w(h) = 0. Calculate h.
1, 2
Suppose 0 - 1/3*m**3 + 1/9*m**4 + 1/3*m - 1/9*m**2 = 0. Calculate m.
-1, 0, 1, 3
Let w(n) = n. Let q be w(-6). Let m be 2/q - 7/(-3). Suppose 4*d**m + 1 - 2*d**3 + 1 - 2*d - 2 = 0. What is d?
0, 1
Suppose w = 4*h - 5*h - 2, 4*h + 2*w + 8 = 0. Let p = 4 + h. Factor 4/7 + p*k**2 - 18/7*k.
2*(k - 1)*(7*k - 2)/7
Suppose -h - 3*h - 5*z = 1, 5*z = -2*h - 13. Suppose 31 - 3 = 4*w. Factor -4*p**3 - h*p**4 - 2*p**2 - 3*p**3 + 2*p**5 + w*p**3 + 6*p**3.
2*p**2*(p - 1)**3
Let u be -1 + 4/((-40)/(-1174)). Let j = u - 116. Solve -2*q**4 - 4/5*q + 2*q**2 - j*q**3 + 0 + 6/5*q**5 = 0 for q.
-1, 0, 2/3, 1
Let t(l) be the first derivative of -l**4/18 - 2*l**3/27 + l**2/9 + 2*l/9 - 14. Factor t(p).
-2*(p - 1)*(p + 1)**2/9
Let c = 5 + -2. Let r be ((-2)/c)/(28/(-60)). Determine u, given that -2/7*u**3 - r*u + 8/7*u**2 + 4/7 = 0.
1, 2
Let r(b) = 3*b**3 - 14*b**2 - 3*b + 14. Let u(k) = -k**3 + 5*k**2 + k - 5. Let l(t) = 6*r(t) + 17*u(t). Factor l(f).
(f - 1)*(f + 1)**2
Suppose 3*d**2 + 0*d**3 + d**3 - 6*d**2 + 3*d**4 - 3*d**5 + 2*d**3 = 0. What is d?
-1, 0, 1
Let b(d) be the first derivative of 0*d - 2/21*d**3 - 1/7*d**2 + 2. Factor b(a).
-2*a*(a + 1)/7
Suppose 4*b = g + 24, -2 = 3*g + 10. Let a be (b/(-1))/(-5 - -3). What is f in 1/4 - 5/4*f + 5/4*f**4 - 1/4*f**5 + a*f**2 - 5/2*f**3 = 0?
1
Let y(g) = 9*g**5 + 15*g**4 - 9*g**3 - 35*g**2 + 24. Let k(f) = -f**5 + f**3 - 1. Let j(h) = 4*k(h) + y(h). Suppose j(v) = 0. Calculate v.
-2, -1, 1
Let j(q) = -q**3 - 4*q**2 + 6*q + 5. Let y be 64/(-12) + (-2)/(-6). Let z be j(y). Suppose 0 + 3*g**3 + z - g**2 - 2*g = 0. Calculate g.
-2/3, 0, 1
Factor -1/4*c**3 + 0*c + 0 + 1/4*c**2.
-c**2*(c - 1)/4
Let t(c) = -3*c**2 - 16*c + 2. Let v be t(-7). Let x = 35 + v. Factor 1/2*a**3 + 1/2*a**x - 1/4*a**4 - 1/4 - 1/4*a**5 - 1/4*a.
-(a - 1)**2*(a + 1)**3/4
Let f(q) = -q**2 - 7*q + 2. Let r be f(-7). Let k = 4 - 2. Factor -r*y**2 + 0*y**4 - y**5 + 0*y**5 + y + k*y**4.
-y*(y - 1)**3*(y + 1)
Let p be -1 - -2 - (-2)/2. Let t be (-104)/(-210) + 18/(-189). Factor -2/5*z + t*z**p - 4/5.
2*(z - 2)*(z + 1)/5
Let m(g) = -4*g**2 - 6*g - 6. Let w(d) = 5*d**2 + 6*d + 7. Let k(q) = 3*m(q) + 2*w(q). Solve k(f) = 0 for f.
-2, -1
Let j(v) be the second derivative of -v**8/33600 - v**7/12600 - v**4/6 - v. Let h(s) be the third derivative of j(s). Find o such that h(o) = 0.
-1, 0
Let m = 21 + -13. Suppose 0 = 3*c - 3*x - 18, 2*c + 3*x + m = -0*x. Factor -2*z + z - z**2 + 2*z**c.
z*(z - 1)
Let w(s) = -10*s**3 + 12*s**2 + 10*s. Let l(o) = o**3 + 3*o**3 + 6*o - 5*o**2 - 3*o - 7*o. Let i(n) = -12*l(n) - 5*w(n). What is p in i(p) = 0?
-1, 0, 1
Let i = 2/111 + 98/37. Let j(g) be the first derivative of 10/9*g**3 - 8/3*g**2 + i*g - 4 - 1/6*g**4. Factor j(k).
-2*(k - 2)**2*(k - 1)/3
Let b(q) be the third derivative of -q**7/1050 - 11*q**6/600 - 7*q**5/60 - 5*q**4/24 + 34*q**2. Solve b(d) = 0.
-5, -1, 0
Let o(z) = z**3 + 14*z**2 - 6. Let c be o(-14). Let i = -2 - c. Determine q so that 4/7*q**3 + 0 - 2/7*q**i - 2/7*q**2 + 0*q = 0.
0, 1
Determine i so that 0*i + 0 + 1/3*i**3 - 2/3*i**2 = 0.
0, 2
Find l, given that 0 + 8/7*l**2 - 12/7*l**3 + 4/7*l**4 + 0*l = 0.
0, 1, 2
Let j(t) be the second derivative of -8*t**6/15 + t**5 + t**4 - 10*t**3/3 + 2*t**2 + 8*t. Determine g, given that j(g) = 0.
-1, 1/4, 1
Let k(h) be the first derivative of -h**4/5 - 4*h**3/5 - 4*h**2/5 + 6. Find u such that k(u) = 0.
-2, -1, 0
Let g(a) be the third derivative of 0*a + 0 - 1/16*a**4 - 1/224*a**8 + 1/40*a**6 + 0*a**3 + 0*a**5 + 0*a**7 - a**2. Factor g(l).
-3*l*(l - 1)**2*(l + 1)**2/2
Factor a**4 - a**4 - 25*a**3 + a**5 + 24*a**3.
a**3*(a - 1)*(a + 1)
Suppose -2*j - 5*o + 19 = 0, 4*j - 5*o + 3 = -4. Let k be (9/8 + -1)*6. Factor k*g - 1/2 - 1/4*g**j.
-(g - 2)*(g - 1)/4
Suppose 2/7*l**3 + 0 + 1/7*l**2 + 0*l + 1/7*l**4 = 0. What is l?
-1, 0
Let m(a) = -2*a - 2. Let b be m(-3). Let 7*k**5 + 2*k**b + 2*k - 14*k**3 + 2*k**4 + 5*k - 4*k**2 - 2*k**4 + 2 = 0. Calculate k.
-1, -2/7, 1
Let s be -4*((-9)/6 + 1). Factor -s - 3*x**2 - 5*x + 5*x + 5*x**2.
2*(x - 1)*(x + 1)
Let y be (-171)/(-189) - (-1)/