/3 + 10*s**2 - 3*s. Factor j(r).
5*(r - 1)**2*(3*r - 2)**2
Suppose -2/7*x**4 - 8/7*x - 8/7 + 4/7*x**3 + 6/7*x**2 = 0. Calculate x.
-1, 2
Let v(p) be the second derivative of 3*p**5/100 - 3*p**4/20 + 3*p**3/10 - 3*p**2/10 - 7*p. Find q, given that v(q) = 0.
1
Suppose 5*r - 97 = -2. Let w = -16 + r. Factor 0 + 7/4*o**w - o**4 - 1/2*o**2 - 1/4*o.
-o*(o - 1)**2*(4*o + 1)/4
Let p be (-3)/((-126)/35)*(-3)/(-10). Let m = 5 - 3. Find a, given that -p*a**m + 0 - 1/4*a = 0.
-1, 0
Let x(t) = t - 5. Let z be x(7). Let b(c) = -c. Let u be b(0). Factor u*w**3 + 0*w - 1/2*w**4 - 1/2 + w**z.
-(w - 1)**2*(w + 1)**2/2
Let q(w) be the third derivative of -w**7/3360 + w**5/480 + w**3/6 - 3*w**2. Let k(f) be the first derivative of q(f). Factor k(j).
-j*(j - 1)*(j + 1)/4
Let w(y) = y**4 - y**2 + 1. Let l(n) = 8*n**4 - 20*n**3 + 27*n**2 - 20*n + 8. Let r(v) = l(v) - 3*w(v). Suppose r(c) = 0. Calculate c.
1
Suppose 6 = -0*v + 3*v. What is b in -b - 2*b**v + b + b**2 = 0?
0
Let d(x) be the second derivative of 0 - 5*x + 3/10*x**5 + 0*x**2 + 1/6*x**4 - 2/3*x**3. What is s in d(s) = 0?
-1, 0, 2/3
Let p(b) be the third derivative of -4/21*b**3 + 0 - 3/70*b**5 + 1/245*b**7 - 1/210*b**6 + 1/7*b**4 + 0*b - 6*b**2. Suppose p(s) = 0. Calculate s.
-2, 2/3, 1
Solve 4/3 - 14/9*s + 4/9*s**2 = 0.
3/2, 2
Factor 0*w + 0 + 2/15*w**2.
2*w**2/15
Let l(w) be the second derivative of -w**7/504 - w**6/80 + w**5/60 + w**4/12 + 4*w. Let p(s) be the third derivative of l(s). Factor p(f).
-(f + 2)*(5*f - 1)
Let b(t) be the third derivative of 1/150*t**5 + 1/30*t**4 + 0 + 0*t - 3*t**2 + 1/15*t**3. Suppose b(j) = 0. Calculate j.
-1
Let d = 7 - 7. Suppose -r + 20 = 4*y + y, d = -r + 2*y + 6. Factor 10*b + 3*b**2 - r*b.
3*b**2
Let x be (-2)/(-12) + 116/24. Suppose -1 = -x*n + 14. Determine y so that 22*y**2 + 64/7*y + 8/7 + 14*y**n = 0.
-1, -2/7
Let g(l) be the second derivative of -3*l**7/91 + 17*l**6/65 - 31*l**5/130 + 5*l**4/78 - 19*l. Let g(j) = 0. What is j?
0, 1/3, 5
Let h(y) be the third derivative of -3*y**6/50 + 8*y**5/25 - 13*y**4/30 + 4*y**3/15 + 13*y**2. Factor h(g).
-4*(g - 2)*(3*g - 1)**2/5
Let o(d) be the first derivative of -2*d**3/45 - d**2/15 - 1. Factor o(j).
-2*j*(j + 1)/15
Factor -3*t**2 + 2*t**4 + 2*t - 36 + 40 - 2*t**3 - 3*t**2.
2*(t - 2)*(t - 1)*(t + 1)**2
Find x such that -2*x**2 + 0 + 0*x**3 - 3 - 3 - 10*x + 2*x**3 = 0.
-1, 3
Let d(r) be the third derivative of 0 + 0*r**5 + 0*r + 3/32*r**4 - 1/160*r**6 + 2*r**2 - 1/4*r**3. Factor d(n).
-3*(n - 1)**2*(n + 2)/4
Suppose 4*l = 2 + 14. Suppose w - 5*u + 3 = 2*w, 0 = l*u. Let 2/5*q**2 + 2/5*q**w - 2/5 - 2/5*q = 0. What is q?
-1, 1
Let y(r) be the second derivative of 0*r**2 + 1/42*r**4 + 0 + 1/21*r**3 + 4*r. Factor y(c).
2*c*(c + 1)/7
Let a = 118 - 116. Factor 15/4*s**a - 3*s - 3/4.
3*(s - 1)*(5*s + 1)/4
Let w = -1/827 - -3313/4135. Let 2/5*r**3 - 2*r + w + 6/5*r**2 - 2/5*r**4 = 0. What is r?
-2, 1
Let w(t) = 6*t**4 - 5*t**3 - 6*t**2 + 16*t - 11. Let p(m) = m**4 - m**3 - m**2 + 3*m - 2. Let s(g) = 33*p(g) - 6*w(g). What is o in s(o) = 0?
-1, 0, 1
Let z(i) be the third derivative of i**7/420 - i**6/120 + i**4/24 - i**3/12 - 6*i**2. Let z(r) = 0. What is r?
-1, 1
Let b(n) be the second derivative of n**5/330 - 5*n**4/132 + 4*n**3/33 - 3*n**2 + 3*n. Let u(c) be the first derivative of b(c). Factor u(g).
2*(g - 4)*(g - 1)/11
Let n(l) be the third derivative of -7/8*l**4 + 8*l**2 + 0*l - 1/4*l**5 + 0 - l**3. Factor n(z).
-3*(z + 1)*(5*z + 2)
Let i(j) be the second derivative of 3/14*j**7 + 0*j**2 + 0*j**4 + 0*j**3 - 3/20*j**5 + 0 - 10*j + 1/5*j**6. Find z, given that i(z) = 0.
-1, 0, 1/3
Suppose 0 + 0*g + 1/4*g**5 - 3/4*g**2 - 5/4*g**4 + 7/4*g**3 = 0. Calculate g.
0, 1, 3
Let a(w) = 3*w**2 - 3*w - 4. Let l(t) = -4*t**2 + 3*t + 4. Let g(n) = 5*a(n) + 4*l(n). Let h(z) = -z - 1. Let k(c) = -g(c) + 4*h(c). Factor k(u).
u*(u - 1)
Let t be (-5)/(15/(-8))*6. Suppose -5*j + t = -j. Factor -s + 1 + 45*s**j + 49*s**3 - 3 + 14*s**5 - 2*s + 17*s**2.
(s + 1)**3*(2*s + 1)*(7*s - 2)
Let m(p) = p**2 + p - 3. Let k(t) = -2*t + 2. Let u(r) = -6*k(r) - 4*m(r). Factor u(b).
-4*b*(b - 2)
Let w(l) = -l**2 + 6*l + 7. Let g(x) = -2*x**2 + 6*x + 8. Let y(t) = 3*g(t) - 4*w(t). Find c such that y(c) = 0.
-2, -1
Solve 2/9*y + 2/9*y**2 - 4/9 = 0 for y.
-2, 1
Let b(h) be the first derivative of -h**4/8 - 2*h**3/9 + 5*h**2/12 + h/3 + 3. Solve b(k) = 0.
-2, -1/3, 1
Factor -3*a**4 + 0*a + 3/2*a**5 + 3/2*a**3 + 0*a**2 + 0.
3*a**3*(a - 1)**2/2
Let x = 16 - 9. Let l be (-10)/(-6) + (-1)/(-3). Let -x + 2*n + 7 - 2*n**l = 0. Calculate n.
0, 1
Let v(g) be the first derivative of 0*g + 1 - 1/5*g**3 + 0*g**2. Find m such that v(m) = 0.
0
Let p(r) = 3*r + 6. Let q be p(-2). Suppose 2/7*s**5 - 2/7*s**2 + 4/7*s + 2/7*s**4 + q - 6/7*s**3 = 0. What is s?
-2, -1, 0, 1
Factor 0 + 0*d - 1/4*d**3 - 1/2*d**2.
-d**2*(d + 2)/4
Let u(q) be the second derivative of q**5/70 + q**4/21 + q**3/21 - 7*q. Let u(n) = 0. What is n?
-1, 0
Let d(c) be the second derivative of c**6/360 - 3*c**2/2 - 4*c. Let h(y) be the first derivative of d(y). Factor h(n).
n**3/3
Determine n, given that -n**4 - 2*n**5 - n**4 - 407*n**2 + 2*n**3 + 409*n**2 = 0.
-1, 0, 1
Let z(m) be the first derivative of -m**9/7560 - m**8/2800 - m**7/4200 - m**3/3 - 1. Let w(i) be the third derivative of z(i). Factor w(n).
-n**3*(n + 1)*(2*n + 1)/5
Let b be 75/9 - (-2)/(-6). Let p be (-22)/b - (-5 + 2). Find d such that 0 + p*d**2 + 0*d + 1/4*d**4 - 1/2*d**3 = 0.
0, 1
Solve -2/7*f - 4/7 + 2/7*f**2 = 0 for f.
-1, 2
Let m(l) = -135*l**4 + 3*l**2 + 2 + 1 + 3*l + 2*l**3 + 130*l**4. Let r(i) = -16*i**4 + 6*i**3 + 10*i**2 + 10*i + 10. Let s(f) = -10*m(f) + 3*r(f). Factor s(t).
2*t**3*(t - 1)
Suppose -z = 5*z. Let s(u) be the second derivative of 0*u**5 - 1/63*u**7 + u + 1/9*u**4 + 1/9*u**3 - 2/45*u**6 + z*u**2 + 0. Factor s(q).
-2*q*(q - 1)*(q + 1)**3/3
Let a(k) be the first derivative of -4*k**3/3 + 4*k + 15. Determine p so that a(p) = 0.
-1, 1
Let v(b) be the second derivative of 8*b**2 + 1/12*b**4 + 3*b + 0 + 4/3*b**3. Find j such that v(j) = 0.
-4
Suppose -2*f**4 + 2*f**5 + 2*f**2 - 4*f**5 - 2*f**3 + 4*f**5 = 0. Calculate f.
-1, 0, 1
Suppose q + 0 - 3 = 0. Determine s so that 4 + 17*s**2 + 4*s**2 - 27*s + q - 1 = 0.
2/7, 1
Let y(u) be the first derivative of u**3/6 - u**2/4 - 14. Factor y(h).
h*(h - 1)/2
Let w = -21 + 21. Let r(c) be the second derivative of 0 - 1/70*c**5 - 1/105*c**6 + 1/147*c**7 + 1/42*c**4 + 0*c**3 + w*c**2 + 2*c. Solve r(f) = 0 for f.
-1, 0, 1
Suppose 2*y - 7*y + 38 = -2*m, -4*y - 3*m = -35. Let q = y - 5. Factor 3 - c**3 - 13 - q*c - 3*c**2 + 9.
-(c + 1)**3
Let x**3 - 1/2*x**5 + 2*x**2 - 1 - x**4 - 1/2*x = 0. Calculate x.
-2, -1, 1
Let x(p) be the first derivative of p**6/7 + 2*p**5/5 + 3*p**4/14 - 2*p**3/7 - 2*p**2/7 - 5. Factor x(z).
2*z*(z + 1)**3*(3*z - 2)/7
Let a = 3 + -1. Let b(d) be the first derivative of 1/7*d**a + 4/21*d**3 + 1 + 0*d**4 - 4/35*d**5 - 1/21*d**6 + 0*d. Let b(v) = 0. What is v?
-1, 0, 1
Factor -1/3*u + 1/3*u**2 + 0.
u*(u - 1)/3
Factor 696*p + 6*p**4 - 6*p**3 - 2*p**4 + 12*p**2 - 3*p**4 - 704*p.
p*(p - 2)**3
Factor 34*v - 64*v + 34*v - v**2.
-v*(v - 4)
Let f(p) = p**4 - p**3 + p**2 + p. Let y(m) = -3*m**4 + 11*m**3 - m**2 - 5*m. Let t(c) = -10*f(c) - 2*y(c). Factor t(q).
-4*q**2*(q + 1)*(q + 2)
Let k(a) be the third derivative of -a**6/360 + a**5/90 + a**4/72 - a**3/9 - 6*a**2. Determine o, given that k(o) = 0.
-1, 1, 2
Let q(h) be the third derivative of h**10/75600 - h**9/30240 - h**8/5040 + h**5/20 + 2*h**2. Let y(t) be the third derivative of q(t). Factor y(g).
2*g**2*(g - 2)*(g + 1)
Let a = 6 + -4. Suppose 5*d + a*w - 8 = 13, -5*d = w - 18. Factor 0*r**3 - 2 + r**3 + r**d - 2*r + 2*r**2.
2*(r - 1)*(r + 1)**2
Let k(g) be the second derivative of 0*g**2 - 1/27*g**4 + 4/135*g**6 - 1/27*g**3 - 4/189*g**7 + 0 - 4*g + 1/30*g**5. Solve k(z) = 0.
-1/2, 0, 1
Let y(t) = -4*t + 38. Let p be y(9). What is i in 0 - 1/6*i**3 - 1/6*i**p + 0*i = 0?
-1, 0
Let f(m) be the first derivative of m**6/900 - m**5/300 - m**4/30 + m**3 + 1. Let p(l) be the third derivative of f(l). Suppose p(a) = 0. What is a?
-1, 2
Factor -4/7 + 2/7*n + 2/7*n**2.
2*(n - 1)*(n + 2)/7
Factor -1 - 39*v - 1521/4*v**2.
-(39*v + 2)**2/4
Let o(s) be the second derivative of 2*s**2 + 0*s**3 + s + 0 - 1/3*s**4. Factor o(x).
-