 23 + 32*u**3 - 7*u**4 + 26. Let m(v) = 6*o(v) + 22*x(v). Factor m(w).
2*(w + 2)**4
Factor -4/7*n**3 + 4/7*n + 24/7*n**2 - 24/7.
-4*(n - 6)*(n - 1)*(n + 1)/7
Let n(c) be the second derivative of -c**6/120 + c**5/20 + c**4/24 - c**3/2 + c**2/2 + 4*c. Let o(h) be the first derivative of n(h). Factor o(u).
-(u - 3)*(u - 1)*(u + 1)
Let r = 3 + 1. Let g(l) be the second derivative of -1/4*l**2 - 1/24*l**r + l + 0 + 1/6*l**3. Solve g(w) = 0.
1
Let w be (1 + -3 + -6 + 2)/(-8). Let -3/2*g + 0 + w*g**4 + 3/2*g**3 - 3/4*g**2 = 0. Calculate g.
-2, -1, 0, 1
Suppose 12 = -6*w + 8*w. Factor -3*t**2 + 11*t - 14*t - w*t.
-3*t*(t + 3)
Suppose -3*s + k - 20 = 0, -4*s + 4*k - 25 = 15. Let l = 9 + s. Solve -18*i**3 - 2*i**l + i**3 - i**3 + 9*i**5 + 4*i**2 + 9*i - 2 = 0.
-1, 2/9, 1
Determine h so that 0 + 5*h**4 + 5/3*h**5 - 10/3*h - 5*h**2 + 5/3*h**3 = 0.
-2, -1, 0, 1
Let y(t) be the second derivative of t**5/60 + t**4/18 - 30*t. Suppose y(q) = 0. Calculate q.
-2, 0
Let f = -3 - 1. Let k = f + 6. Let -1/3 + 0*o + 2/3*o**5 - o**4 - 2/3*o**3 + 4/3*o**k = 0. What is o?
-1, -1/2, 1
Let i = -6/143 + 304/429. Find m such that i*m**2 - 4/3*m - 2 = 0.
-1, 3
Suppose -5*t + 13 + 12 = 0. Solve 3 + 2*c**2 - t*c**2 + 2*c**2 - 2*c**2 = 0.
-1, 1
Factor 2*l**2 - 22 + 82 + 6*l**2 + 20*l - 13*l**2.
-5*(l - 6)*(l + 2)
Find z such that -2/3*z**2 + 2/3 + 2/3*z - 2/3*z**3 = 0.
-1, 1
Let n(w) be the first derivative of 2*w**3/21 - w**2/7 + 1. Factor n(f).
2*f*(f - 1)/7
Suppose -6 = -i - 2. Let 8*f**i + 2*f**3 - f**3 + 4*f**5 + 3*f**3 = 0. What is f?
-1, 0
Factor 0*b**2 - 5/3 + 10/3*b**3 + 5/3*b**4 - 10/3*b.
5*(b - 1)*(b + 1)**3/3
Factor 0 + 8/3*d - 10/3*d**2 + 2/3*d**3.
2*d*(d - 4)*(d - 1)/3
Let m be (-5)/(-40)*4*4. Factor 1/3 + 1/3*l**3 - 1/3*l**m - 1/3*l.
(l - 1)**2*(l + 1)/3
Let p(x) be the first derivative of -2*x**3/9 + x**2/3 + 4*x/3 + 3. Suppose p(d) = 0. Calculate d.
-1, 2
Let 2/3*b**3 + 0 + 0*b - 22/3*b**2 = 0. Calculate b.
0, 11
Let h(y) be the third derivative of y**5/240 + y**4/12 + 7*y**3/24 + 22*y**2. Factor h(p).
(p + 1)*(p + 7)/4
Let f be 13/65 + 1414/(-20). Let m = 72 + f. What is d in 0*d + m*d**2 + 0 = 0?
0
Let g(q) be the first derivative of 2*q**3 + 7*q**2/3 - 4*q/3 - 3. Factor g(u).
2*(u + 1)*(9*u - 2)/3
Let n(g) be the second derivative of 3*g**7/133 + 2*g**6/95 - 11*g**5/190 - 2*g**4/57 + 4*g**3/57 - 27*g. Solve n(l) = 0.
-1, 0, 2/3
Let s(m) be the first derivative of 2/21*m**3 - 2/7*m**2 + 2/7*m + 3. Let s(o) = 0. Calculate o.
1
Let 0 + 10/7*m**2 - 4/7*m - 8/7*m**3 + 2/7*m**4 = 0. Calculate m.
0, 1, 2
Let o(c) be the third derivative of c**9/4032 + c**8/2240 - c**7/840 + c**5/30 + c**2. Let z(d) be the third derivative of o(d). Factor z(n).
3*n*(n + 1)*(5*n - 2)
Let q(m) be the first derivative of 5*m**3/3 - 20*m**2 + 80*m - 17. Factor q(c).
5*(c - 4)**2
Solve -2*y**4 - 2*y**3 + 5*y**3 - y**3 = 0 for y.
0, 1
Suppose -5*g + 192 = -4*h, -h - 3*g - 117 = 2*h. Let v = -171/4 - h. Find p such that -3/4*p**4 - 1/4*p**2 - 3/4*p**3 + 0 - v*p**5 + 0*p = 0.
-1, 0
Let x = 16 - 14. Let d(p) be the second derivative of 3/10*p**5 - p**x + 5/3*p**3 - 7/6*p**4 + p + 0. Find u such that d(u) = 0.
1/3, 1
Let h(i) = i**2 - 5*i - 3. Let v be h(6). Find x, given that 75*x + 9 - 78*x**2 - 15 - 45*x**v - 30*x + 84*x**4 = 0.
-1, 1/4, 2/7, 1
Let l(d) be the second derivative of -3*d**5/70 - 9*d**4/14 - 15*d**3/7 - 3*d**2 + 34*d. Find c, given that l(c) = 0.
-7, -1
Let n be (-2)/10*63/(-27). Let k(o) be the second derivative of 2/15*o**4 + 12/25*o**5 + 0*o**2 + n*o**6 + 2*o + 0*o**3 + 0. Factor k(a).
2*a**2*(5*a + 2)*(7*a + 2)/5
Let i(o) be the first derivative of -o**7/3780 + o**5/540 + 2*o**3/3 + 3. Let c(u) be the third derivative of i(u). Solve c(t) = 0 for t.
-1, 0, 1
Let l(g) be the first derivative of -g**5/20 + g**4/16 + g**3/12 - g**2/8 + 9. What is y in l(y) = 0?
-1, 0, 1
Let p(w) = 19*w + 2. Let u be p(0). Factor j**4 + 0 - 3/2*j**3 - 1/4*j + j**u - 1/4*j**5.
-j*(j - 1)**4/4
Let u(b) = b**3 + 8*b**2 + 6*b + 1. Let z be u(-7). Determine h, given that 0*h**2 - 2*h**3 - 8*h - 3*h**3 + 3*h**3 - z*h**2 = 0.
-2, 0
Let w be 4236/28 - (-6)/(-21). Let z = w - 751/5. Factor 0*m + 0 + 0*m**2 + 2/5*m**5 + z*m**4 + 2/5*m**3.
2*m**3*(m + 1)**2/5
Suppose -i + 5*j = 3*i - 20, 5*j + 20 = 0. Suppose i - 6/5*o**2 - 8/5*o**3 + 2/5*o = 0. Calculate o.
-1, 0, 1/4
Factor m**2 - 4*m**2 - m**2 - m**2 - 5*m**3.
-5*m**2*(m + 1)
What is k in -2*k**3 - 9*k + k + 12*k**3 - 2*k**4 + 8*k**2 - 8*k**3 = 0?
-2, 0, 1, 2
Suppose 216*s - 8 = 211*s - k, 4*k = 2*s - 12. Factor -16/3*m**s - 4/3 + 20/3*m.
-4*(m - 1)*(4*m - 1)/3
Let o(p) be the second derivative of -p**7/21 + p**6/15 + p**5/5 - p**4/3 - p**3/3 + p**2 + 4*p. Factor o(b).
-2*(b - 1)**3*(b + 1)**2
Let s(c) be the first derivative of -3*c**4/16 + 5*c**3/2 - 51*c**2/8 + 6*c + 18. Determine u, given that s(u) = 0.
1, 8
Let m(z) = -3*z**3 + 3*z. Let d(s) be the third derivative of s**6/60 - s**4/12 - s**2. Let n(u) = -5*d(u) - 4*m(u). Factor n(i).
2*i*(i - 1)*(i + 1)
Let i(t) be the third derivative of t**8/48 + t**7/105 + 8*t**2. Factor i(c).
c**4*(7*c + 2)
Factor -19*t + 65 - 21 - 2*t**2 + 0*t**2 + t.
-2*(t - 2)*(t + 11)
Factor 8/5*v**3 - 4/5*v**4 - 8/5*v + 0 + 4/5*v**2.
-4*v*(v - 2)*(v - 1)*(v + 1)/5
Let o(d) = 2*d**3 + 8*d**2 + 35*d - 11. Let r(y) = y**3 + 5*y**2 + 18*y - 6. Let a(i) = 6*o(i) - 11*r(i). What is f in a(f) = 0?
0, 3, 4
Let v(o) = 1 - 32*o**2 + 1 - 4*o + 28*o**2 + 3*o. Let u(q) be the first derivative of -q**2/2 + 1. Let a(g) = 3*u(g) - v(g). Find w, given that a(w) = 0.
-1/2, 1
Let m(g) be the second derivative of 1/9*g**3 + 0 - 5*g + 1/6*g**2 + 1/36*g**4. What is n in m(n) = 0?
-1
Suppose -5*m + 24 = 3*m. Solve 2*s**4 + 2/5*s**5 + 4*s**m + 2*s + 2/5 + 4*s**2 = 0 for s.
-1
Let d be ((-30)/(-75))/((-159)/(-5)). Let s = 100/477 + d. Factor -4/9*u**4 + 2/9*u**5 + 0 - s*u + 4/9*u**2 + 0*u**3.
2*u*(u - 1)**3*(u + 1)/9
Let m(k) be the first derivative of -3/2*k - 1/4*k**3 - 3 + 9/8*k**2. Factor m(n).
-3*(n - 2)*(n - 1)/4
Let s(j) = 4*j**2 + 13*j - 4. Suppose -4 = z - 10. Let i(l) = -2*l**2 - 6*l + 2. Let a(f) = z*s(f) + 13*i(f). Factor a(n).
-2*(n - 1)*(n + 1)
Factor -2/3*f**2 + 10/3*f + 0.
-2*f*(f - 5)/3
Let x(g) be the third derivative of g**9/272160 - g**8/15120 + g**7/2520 - 3*g**5/20 + 2*g**2. Let u(j) be the third derivative of x(j). Factor u(l).
2*l*(l - 3)**2/9
Let a(x) be the first derivative of x**7/168 - x**6/120 - 3*x**5/80 + x**4/48 + x**3/12 + 3*x + 1. Let q(h) be the first derivative of a(h). Factor q(m).
m*(m - 2)*(m - 1)*(m + 1)**2/4
Let c(o) be the first derivative of o**6/1260 - o**5/210 - o**3/3 - 1. Let t(g) be the third derivative of c(g). Find m such that t(m) = 0.
0, 2
Let l(w) = -2*w. Let v = -2 + 1. Let z be l(v). Factor -2*t**2 + 0*t + 4*t - z*t.
-2*t*(t - 1)
Let b(f) be the first derivative of -f**7/231 + f**5/55 - f**3/33 - 4*f - 2. Let z(s) be the first derivative of b(s). Factor z(t).
-2*t*(t - 1)**2*(t + 1)**2/11
Let t(h) be the first derivative of h**3 + 2. Factor t(d).
3*d**2
Factor -20/11 - 2/11*t**2 + 14/11*t.
-2*(t - 5)*(t - 2)/11
Find h such that -5*h - 10 + 7*h**2 + h**2 + 0 - 3*h**2 = 0.
-1, 2
Let p(z) be the third derivative of -z**7/140 + z**5/10 + 20*z**2. Factor p(b).
-3*b**2*(b - 2)*(b + 2)/2
Let w(p) be the first derivative of 2*p**6/3 - 4*p**5/5 - p**4 + 4*p**3/3 - 5. Factor w(c).
4*c**2*(c - 1)**2*(c + 1)
Let m = 14 + -12. Factor 3/2*u + 3/2*u**m - 3.
3*(u - 1)*(u + 2)/2
Let v(h) be the first derivative of -h**6/24 + 3*h**5/20 - 3*h**4/16 + h**3/12 - 10. Determine o so that v(o) = 0.
0, 1
Let w = -10 + 15. Let u(l) be the third derivative of 0 + 3*l**2 + 0*l - 2/21*l**3 - 1/84*l**6 - 3/28*l**4 - 2/35*l**w. Factor u(h).
-2*(h + 1)**2*(5*h + 2)/7
Let q be (-8)/4 + 0 - -5. Suppose -4*p - 19 + q = -f, -13 = -f + 3*p. Factor -2/9*m**5 + 0 + 2/9*m**3 + 2/9*m**2 - 2/9*m**f + 0*m.
-2*m**2*(m - 1)*(m + 1)**2/9
Factor 0 + 1/6*f**4 + 0*f**2 + 0*f + 1/6*f**3.
f**3*(f + 1)/6
Let y(f) = f**3 - f**2 - 2*f + 3. Let p be y(2). Let h(r) be the first derivative of -1/7*r**2 - 3/14*r**4 - 8/21*r**p + 0*r + 2. Factor h(j).
-2*j*(j + 1)*(3*j + 1)/7
Let s(r) be the third derivative of r**7/630 + r**6/180 - r**4/36 - r**3/18 - 3*r**2. Suppose s(v) = 0. What is v?
-1, 1
Let i(a) be the third derivative of a**6/540 - a