+ 0*y + 0*y**u + 0 + 0*y**3 + y**4.
-y**4*(5*y - 2)/2
Let v(g) be the third derivative of 0*g + 0 + 1/30*g**5 + 2/3*g**3 - 1/4*g**4 + 3*g**2. Factor v(p).
2*(p - 2)*(p - 1)
Suppose -5*j = -3*w - 7 - 2, -5*w + 2*j + 4 = 0. Suppose 2*x - 7*x - 21 = -w*k, 0 = k - 2*x - 9. Solve -4 + 5*i**2 - i - i**2 + i**3 - 3*i**k + 3*i = 0.
-1, 1, 2
Let y(v) be the third derivative of -v**8/112 + 3*v**7/70 - v**6/40 - 3*v**5/20 + v**4/4 + 9*v**2. What is n in y(n) = 0?
-1, 0, 1, 2
Let w be (-6)/12 + 26/16 + -1. Let s(c) be the first derivative of w*c**4 + 0*c**2 - 3 - 1/6*c**3 + 0*c. Factor s(n).
n**2*(n - 1)/2
Suppose 2*o - p + 3 = 9, o + 4*p = -6. Factor -o*j**4 + j**4 + 2*j**4 - j**3.
j**3*(j - 1)
Suppose -5*i = -i. Suppose i = -d - g - 1, -3*d = -3*g - 15. Factor 1/3*v**d - v + 2/3.
(v - 2)*(v - 1)/3
Let s(q) = -16*q**3 + 18*q**2 - 18*q + 10. Let t(a) = -a**3 - a**2 + 1. Let j(l) = -s(l) + 6*t(l). Factor j(h).
2*(h - 1)**2*(5*h - 2)
Find r, given that 3/2 - 3*r + 168*r**4 - 69/2*r**2 + 96*r**5 + 42*r**3 = 0.
-1, -1/4, 1/4
Let u be (-15200)/(-168)*(-1 - 5). Let v = 544 + u. Factor v - 8/7*j + 2/7*j**2.
2*(j - 2)**2/7
Let g(y) be the second derivative of -3*y**5/140 + 3*y**4/28 + y**3/14 - 9*y**2/14 + 12*y. Factor g(s).
-3*(s - 3)*(s - 1)*(s + 1)/7
Let f(k) be the second derivative of -k + 2/5*k**5 + 0 + 2*k**3 - 3/2*k**4 - k**2. Factor f(v).
2*(v - 1)**2*(4*v - 1)
Let u be (-1 - -4) + 0 + 3. Let j(g) be the second derivative of 0*g**4 + 0*g**3 + g - 1/120*g**u + 0*g**2 + 0*g**5 + 0. Factor j(t).
-t**4/4
Let t(q) be the second derivative of -q**5/36 - 7*q**4/108 - q**3/27 + 27*q. What is a in t(a) = 0?
-1, -2/5, 0
Let p = 113 + -785/7. Let j = 4 - 4. Factor -2/7*l**4 - p*l**3 + j - 6/7*l**2 - 2/7*l.
-2*l*(l + 1)**3/7
Let r be 14 + (0 - (-24)/(-18))*3. Factor 22/3*t**3 - 4/3 - r*t**2 + 6*t - 2*t**4.
-2*(t - 1)**3*(3*t - 2)/3
Let o(c) be the second derivative of c**6/30 + c**5/20 - 13*c**4/12 - 25*c**3/6 - 6*c**2 + 14*c. Factor o(m).
(m - 4)*(m + 1)**2*(m + 3)
Solve 12/7*v - 8/7 - 12/7*v**3 + 4*v**2 - 20/7*v**4 = 0.
-1, 2/5, 1
Let s(y) = -5*y**3 - 4*y**2 + 5*y - 5. Let g(z) = -3*z**3 - 2*z**2 + 2*z - 2. Let b = -17 + 21. Let i(p) = b*s(p) - 10*g(p). Factor i(t).
2*t**2*(5*t + 2)
Let y = -3 - -3. Let j be 26/10 + 30/75. Determine h, given that -1/3*h**5 + 1/3*h**j + 1/3*h**2 + y*h - 1/3*h**4 + 0 = 0.
-1, 0, 1
Let v(i) be the third derivative of -1/120*i**6 + 0*i**4 - 3*i**2 + 0*i**3 + 0*i + 0 + 0*i**7 + 1/336*i**8 + 0*i**5. Solve v(p) = 0 for p.
-1, 0, 1
Let -924*n**4 - 828*n**2 - 28*n**5 + 432 - 91*n**3 - 105*n**3 + 1112*n**4 + 1296*n = 0. What is n?
-2, -2/7, 3
Find r, given that -12/7*r**4 - 9/7*r**3 + 12/7*r**5 + 0 - 3/7*r + 12/7*r**2 = 0.
-1, 0, 1/2, 1
Let y(g) be the first derivative of -g**4/3 + 10*g**3/9 - 4*g**2/3 + 2*g/3 + 23. Solve y(h) = 0 for h.
1/2, 1
Let c be 89420/(-70) - (1 - 1). Let j = c + 1280. Solve -8/7*f**3 - j*f**2 - 12/7*f - 2/7 = 0.
-1, -1/4
Factor 2*n - 1/8*n**2 - 8.
-(n - 8)**2/8
Factor -11*v**3 + 2*v**3 + 2*v - 2*v - 3*v**4 + 3*v**5 + 3*v**2 + 6*v.
3*v*(v - 2)*(v - 1)*(v + 1)**2
Let g = 61 - 421/7. What is a in g*a - 2/7*a**3 + 4/7 + 0*a**2 = 0?
-1, 2
Factor 0 - 5/4*b - 15/4*b**3 + 15/4*b**2 + 5/4*b**4.
5*b*(b - 1)**3/4
Let v = -101 + 104. Factor -7/3*x**4 - 1/3*x + 0 - 3*x**v - 2/3*x**5 - 5/3*x**2.
-x*(x + 1)**3*(2*x + 1)/3
Let g(a) = -a - 6. Let j be g(-7). Let m(y) = y**2 - 2*y + 1. Let x be m(j). Factor x - p - 3/2*p**2 - 1/2*p**3.
-p*(p + 1)*(p + 2)/2
Let k(m) = 13*m**2 + 2*m + 1. Let o be k(2). Let o - 57 - 3*x**4 - 6*x**2 + 9*x**3 = 0. Calculate x.
0, 1, 2
Let p(i) be the second derivative of -i**7/63 + i**6/45 + i**5/30 - i**4/18 + i. Suppose p(y) = 0. What is y?
-1, 0, 1
Let n(l) be the first derivative of 2/3*l**2 - 2/3*l - 3 - 2/9*l**3. Let n(o) = 0. Calculate o.
1
Suppose -3*q - 9 = -6*q. Let c(b) be the third derivative of 0*b**5 + 1/105*b**7 + 0 + 0*b - b**2 - 1/3*b**q + 1/30*b**6 - 1/6*b**4. Factor c(d).
2*(d - 1)*(d + 1)**3
Let m be (3/2)/((-7)/(-56)*3). Find s such that -2/5*s**5 + 0*s**3 + 0 + 2/5*s + 4/5*s**2 - 4/5*s**m = 0.
-1, 0, 1
Let g(b) be the second derivative of b**5/20 + b**4/6 - b**3/6 + 8*b. Let f be g(-2). Factor 10/7*u**f + 6/7*u**3 + 0 - 4/7*u.
2*u*(u + 2)*(3*u - 1)/7
Let g(o) be the first derivative of -2/3*o**2 + 1 + 2/3*o + 1/3*o**4 + 0*o**3 - 2/15*o**5. Let g(b) = 0. What is b?
-1, 1
Suppose 3*m**2 + 27*m - 45 - 45*m + 24 = 0. Calculate m.
-1, 7
Let a(v) be the first derivative of -v**3/3 + 2*v**2 + 11. Factor a(x).
-x*(x - 4)
Factor -d**4 + 10/3*d**3 + 2*d - 1/3 - 4*d**2.
-(d - 1)**3*(3*d - 1)/3
Let y = -76/9 + 29/3. Let u = y + -5/9. Factor 2/3*d + 0 - u*d**3 + 0*d**2.
-2*d*(d - 1)*(d + 1)/3
Let l be (-3 + 0 + -3)/(-2). Let q = 0 + l. Factor -2/9*c**q - 2/9 + 2/9*c**2 + 2/9*c.
-2*(c - 1)**2*(c + 1)/9
Let f(g) be the second derivative of 0 + 0*g**4 - 2*g + 0*g**2 + 0*g**3 - 1/14*g**7 - 1/5*g**6 - 3/20*g**5. Find l, given that f(l) = 0.
-1, 0
Let k(s) = -5*s + 32. Let j(m) = 2*m - 11. Let a(r) = 8*j(r) + 3*k(r). Let l be a(-8). Factor -p**3 + 3*p + l*p**3 + 0 + 2.
-(p - 2)*(p + 1)**2
Let p = 5 + 1. Factor 0 + 5*b**2 - 2*b**2 - p*b + 0.
3*b*(b - 2)
Let c(a) be the second derivative of -a**8/560 + a**7/420 + a**6/216 - a**5/180 - a**3/3 - 2*a. Let d(j) be the second derivative of c(j). Solve d(t) = 0.
-2/3, 0, 1/3, 1
Factor -16/7*s**3 - 32/7*s**2 - 2/7*s**4 + 0*s + 0.
-2*s**2*(s + 4)**2/7
Suppose 3*p - 2 = 7, m - 17 = -5*p. Factor -2 - y**4 - m*y**3 + 2 - y**4.
-2*y**3*(y + 1)
Let v = -2/83 + 87/166. Factor 1/4*x**2 + 1/4 - v*x.
(x - 1)**2/4
Let f = -22 + 22. Let g(i) be the third derivative of 1/90*i**5 + 0*i**3 + 0*i + f + 0*i**4 + 3*i**2. Find a, given that g(a) = 0.
0
Suppose -w - 2*w - 2*x = -3, -4*w = -x - 15. Let j**w + j**3 + j + 2*j**3 - 5*j**2 = 0. What is j?
0, 1/4, 1
Let b(q) = 9*q**2 + 5*q - 4. Let z(d) = 22*d**2 + 12*d - 10. Let o(j) = -12*b(j) + 5*z(j). Find l such that o(l) = 0.
-1, 1
Let g be (-2 - -4) + (-88)/(-12). Suppose 6 = w + 3. Factor 8/3*s**4 + 25/3*s**w + 8/3 + g*s + 1/3*s**5 + 38/3*s**2.
(s + 1)**2*(s + 2)**3/3
Let c(z) = -z**4 + z**3 + 1. Let b(r) = 2*r**5 - 6*r**4 + 4*r**3 + 2. Let o = -4 - -6. Let w(t) = o*c(t) - b(t). Factor w(k).
-2*k**3*(k - 1)**2
Let t(q) be the second derivative of 2*q**5/15 - q**4/9 + q**3/27 + 7*q**2/2 - 4*q. Let d(g) be the first derivative of t(g). Factor d(c).
2*(6*c - 1)**2/9
Let m be 5/10*8 - -1. Let x(w) be the first derivative of 2 - 1/2*w**4 + 4/3*w**3 + 0*w - 4/3*w**2 + 1/15*w**m. Find p, given that x(p) = 0.
0, 2
Let w = -4493/25 + 523/25. Let d = 160 + w. What is q in d*q**2 - 2/5*q - 6/5*q**3 + 0 + 2/5*q**4 = 0?
0, 1
Solve 2*j**2 - 107*j - 4*j**2 + 101*j = 0.
-3, 0
What is c in 3/4*c - 3/4*c**2 + 3/2 = 0?
-1, 2
Let r(t) be the second derivative of -t**9/2268 + t**8/1680 + t**7/2520 - t**3/2 + 2*t. Let l(k) be the second derivative of r(k). Factor l(g).
-g**3*(g - 1)*(4*g + 1)/3
Let q(s) = -30*s**2 + 5*s - 40. Let z(h) = -h**2 + h - 1. Let p(x) = -q(x) + 25*z(x). Factor p(m).
5*(m + 1)*(m + 3)
Let z(k) be the first derivative of -1/5*k**2 + 0*k + 1/10*k**4 + 0*k**3 + 3. Factor z(u).
2*u*(u - 1)*(u + 1)/5
Let l(z) be the first derivative of z**3 + 12. Determine d so that l(d) = 0.
0
Let g(p) be the first derivative of -p**6/360 - p**5/60 - p**3/3 - 7. Let s(h) be the third derivative of g(h). What is a in s(a) = 0?
-2, 0
Let j(o) be the second derivative of 0*o**3 + 0*o**2 + 3/100*o**5 + 3*o + 0*o**4 - 1/50*o**6 + 0. Factor j(x).
-3*x**3*(x - 1)/5
Factor 3/2*k**3 + 0 - 3/2*k**2 - 1/2*k**4 + 1/2*k.
-k*(k - 1)**3/2
Let h(c) = -c**2 - 9*c + 4. Let o be h(-7). Let u(q) = q**3 - 12*q**2 - 2*q + 26. Let r be u(12). Factor 0*y**4 - o*y**r - y**4 + 19*y**2.
-y**2*(y - 1)*(y + 1)
Let f(a) = a**2 - a. Let z(w) = -6*w + 0*w**3 + 3 + 6*w**2 - 2 - w**3. Let u(y) = -3*f(y) + z(y). Solve u(p) = 0 for p.
1
Let l(n) be the first derivative of -n**6/9 - 2*n**5/15 + n**4/3 + 4*n**3/9 - n**2/3 - 2*n/3 + 2. Solve l(u) = 0.
-1, 1
Let h = 1484667/124 + -11973. Let c = 4/31 + h. Factor -3/4*o + c*o**3 + 0*o**2 + 1/2.
(o - 1)**2*(o + 2)/4
Let q(u) = u**3 - 3*u**2 - 3*u + 3. Let x(a) = -a**3 + 3*a**2 + 4*a - 3. Let b(f) = -3*q(f) - 2*x(f). Let b(d) = 0. What is d?
-1, 1, 3
Let m = -72283/40108 + 406/271. Let p = -2/37 - m. Factor -1/2*q**2 - p*q - 1/4*q**