ve of p(s). Suppose t(x) = 0. Calculate x.
-1, 0
Let t(q) be the third derivative of q**8/1680 - q**7/1050 - q**6/120 - q**5/100 - 15*q**2. Factor t(b).
b**2*(b - 3)*(b + 1)**2/5
Let y(x) be the first derivative of x**5/25 + x**4/20 - 3. Factor y(h).
h**3*(h + 1)/5
Let z(c) be the first derivative of -3*c**5/5 - 3*c**4/2 - c**3 - 4. Factor z(y).
-3*y**2*(y + 1)**2
Suppose 35/4*l - 35/4*l**2 + 5/2*l**3 - 5/2 = 0. Calculate l.
1/2, 1, 2
Let o(l) = 3*l + 3. Let s be o(0). Let q(n) be the first derivative of 3 + 2/15*n**5 - 2/9*n**s + 0*n + 1/6*n**4 + 0*n**2 - 1/9*n**6. Factor q(c).
-2*c**2*(c - 1)**2*(c + 1)/3
Let w = 3 - -3. Let 11*c**4 + w*c**5 + 9*c**5 + 4*c**2 - 38*c**3 + 0*c**5 + 8*c = 0. What is c?
-2, -2/5, 0, 2/3, 1
Suppose 16 = -4*i + 8*i. Let u(q) be the third derivative of 4/3*q**3 - 2*q**2 + 1/10*q**5 + 1/2*q**i + 0*q + 1/120*q**6 + 0. Factor u(p).
(p + 2)**3
Let n be (-60)/(-45) - 4/6*-3. Let q(s) be the first derivative of 8*s + 8*s**2 + 1/2*s**4 + n*s**3 - 2. Factor q(c).
2*(c + 1)*(c + 2)**2
Let n(g) be the third derivative of -g**8/1680 - g**7/1050 + 43*g**2. Factor n(c).
-c**4*(c + 1)/5
Let v(x) = 16*x - 13. Let i(c) = 5*c - 4. Let m(r) = 7*i(r) - 2*v(r). Let n be m(2). Factor -4*f - n - 4 + 4 - f**2.
-(f + 2)**2
Let h(a) be the third derivative of -a**6/40 - a**5/10 - a**4/8 + 10*a**2. Factor h(r).
-3*r*(r + 1)**2
Let a(h) be the second derivative of -h**7/1512 - h**6/720 + h**5/180 - h**4/6 + 3*h. Let s(x) be the third derivative of a(x). Suppose s(f) = 0. Calculate f.
-1, 2/5
Factor 16*y - 32 + 0*y**2 + y**2 - 114*y**3 + 13*y**2 + 116*y**3.
2*(y - 1)*(y + 4)**2
Let l be 3 - 7/(14/16). Let d(y) = y**2 + 5*y + 6. Let a be d(l). Factor 3*m + 5*m**2 - a*m**2 - 4*m.
-m*(m + 1)
Let w(z) be the second derivative of -z**7/168 + z**6/120 + z**5/40 + 11*z. Suppose w(i) = 0. What is i?
-1, 0, 2
Let b(x) be the third derivative of 0*x - 1/50*x**5 + 4*x**2 - 2/15*x**3 - 1/12*x**4 + 0. Determine a, given that b(a) = 0.
-1, -2/3
Let h = -42 - -42. Let d be (-4 + 1)/(3/(-2)). Factor o**4 + o**3 - o + h*o**2 - o**2 - 4*o**2 + 4*o**d.
o*(o - 1)*(o + 1)**2
Let f(n) be the second derivative of n**6/120 + n**5/24 + n**4/24 - n**2/2 + n. Let c(i) be the first derivative of f(i). Let c(m) = 0. Calculate m.
-2, -1/2, 0
Let s(f) be the second derivative of -7*f**8/960 + f**7/90 - f**6/180 - 5*f**4/12 - f. Let z(a) be the third derivative of s(a). Factor z(l).
-l*(7*l - 2)**2
Let h(s) be the third derivative of s**7/1890 - s**5/180 + s**4/108 + 26*s**2. Determine q, given that h(q) = 0.
-2, 0, 1
Let m(k) = -2*k**2 + k. Suppose -33 = 3*s - 12. Let r(j) = -5*j**2 + j. Let v(y) = s*m(y) + 4*r(y). Factor v(p).
-3*p*(2*p + 1)
Factor y**3 + 1/2*y**4 + 1/2*y**2 + 0 + 0*y.
y**2*(y + 1)**2/2
Let l(r) be the second derivative of -1/7*r**2 + 1/70*r**5 + 0 - 1/14*r**4 + 1/7*r**3 + 4*r. Let l(x) = 0. Calculate x.
1
Let y(p) = 21*p**4 - 37*p**3 + 29*p**2 + 13. Let o(v) = -5*v**4 + 9*v**3 - 7*v**2 - 3. Let s(c) = -26*o(c) - 6*y(c). Solve s(u) = 0 for u.
0, 1, 2
Solve 0*n + 4*n**3 - 12*n - 6*n**2 + 14*n**2 = 0 for n.
-3, 0, 1
Let l(r) = -r**3 + 3*r**2 - 10*r. Let c(s) = s**3 - 6*s**2 + 19*s. Let x(j) = -4*c(j) - 7*l(j). Factor x(k).
3*k*(k - 1)*(k + 2)
Let q(y) = -10*y**4 - 44*y**3 - 74*y**2 + 16. Suppose -2*t = 24 + 8. Let n(x) = -2*x**4 - 9*x**3 - 15*x**2 + 3. Let o(m) = t*n(m) + 3*q(m). Factor o(c).
2*c**2*(c + 3)**2
Suppose 4*v = 3*v. Let a = v - -4. Solve -y**3 + a*y**3 - 2*y**3 + 3*y**2 - 2*y**2 = 0.
-1, 0
Let c be (-15)/(-6)*-2*1. Let d(v) = 14*v**3 + 2*v**2 - 6*v + 2. Let u(w) = 13*w**3 + w**2 - 5*w + 2. Let j(z) = c*d(z) + 4*u(z). Factor j(h).
-2*(h + 1)*(3*h - 1)**2
Factor 26*u - 2*u**3 - 17*u + 5*u**3 - 12*u**2.
3*u*(u - 3)*(u - 1)
Let v(w) = 1. Let m(s) = -3*s**2 - 3*s + 24. Let h(q) = m(q) - 6*v(q). Determine j, given that h(j) = 0.
-3, 2
Factor -4*b**2 + 24/5 + 52/5*b.
-4*(b - 3)*(5*b + 2)/5
Let o(z) be the first derivative of -5*z**3/3 - 25*z**2 - 45*z + 23. Determine j so that o(j) = 0.
-9, -1
Let d(l) = 4 - 2 + l + 3. Let s be d(-3). Find y, given that -2*y**3 + 2*y**2 - y**2 + y**s = 0.
0, 1
Let h(g) be the first derivative of -3*g**2 + 2*g**4 + 0*g**5 + 4*g - 4/3*g**3 - 1/3*g**6 + 1. Factor h(x).
-2*(x - 1)**3*(x + 1)*(x + 2)
Suppose -1 - 1 = -2*n - c, -n + 4*c = -10. Let a be 4/10 - 3/20. Solve 1/4*x - a*x**n + 0 = 0 for x.
0, 1
Let z(j) be the first derivative of 2/7*j + 3/7*j**2 - 6/35*j**5 + 4/21*j**3 - 1/7*j**4 - 1/21*j**6 + 4. Find g such that z(g) = 0.
-1, 1
Let q(b) = -13*b**3 + 18*b**2 - 19*b - 7. Let j(r) = 6*r**3 - 9*r**2 + 9*r + 3. Let f = -11 - -4. Let g(w) = f*j(w) - 3*q(w). Find u such that g(u) = 0.
0, 1, 2
Suppose 4*s - 3*s = 2*w - 5, -w + 6 = 3*s. Factor 7 - 72*k**2 - 7 + 162*k**w + 8*k.
2*k*(9*k - 2)**2
Let h(j) be the first derivative of 2*j**5/45 - j**4/6 + 2*j**3/9 - j**2/9 + 6. Factor h(o).
2*o*(o - 1)**3/9
Let g = 172 - 169. Factor 0*q - 3/5*q**4 + 0 - 3/5*q**2 - 6/5*q**g.
-3*q**2*(q + 1)**2/5
Let w = -8 + 10. Factor 3*b**3 - 4*b**3 - b**3 + 2*b**2 - 2 + w*b + 0*b**2.
-2*(b - 1)**2*(b + 1)
Let s be 0*((-14)/(-112) - 1/(-8)). Factor -1/4*v + 0*v**2 + s + 1/4*v**3.
v*(v - 1)*(v + 1)/4
Factor 6*a**4 + 2*a**3 + 0*a**2 - 2*a**2 - 4*a - 4*a**2 + 2*a**5.
2*a*(a - 1)*(a + 1)**2*(a + 2)
Determine x, given that -2/7*x**2 + 8/7 + 0*x = 0.
-2, 2
Let k(o) = 10*o**5 + 34*o**4 - 34*o**2 - 10*o. Let g(s) = 2*s**5 + 7*s**4 - 7*s**2 - 2*s. Let y(j) = -28*g(j) + 6*k(j). Let y(d) = 0. What is d?
-1, 0, 1
Let m = 25 - 14. Let p(q) = -q**3 + 11*q**2 - q + 13. Let k be p(m). Suppose -2/7*d**4 - 2/7*d**5 + 2/7*d**3 + 2/7*d**k + 0 + 0*d = 0. What is d?
-1, 0, 1
Let u = 270 + -270. What is i in -4/7*i + u + 2/7*i**2 = 0?
0, 2
Let a be 0/2 + 6 + -4. Let o(w) be the third derivative of 0*w**4 + 0*w**3 + 1/180*w**6 + 0*w + 0*w**5 + w**a + 0. Determine t, given that o(t) = 0.
0
Let h = 3454/3 - 1131. Find d, given that -28/3*d - 14*d**3 + h*d**2 + 4/3 + 3*d**4 = 0.
1/3, 2
Let t(o) be the first derivative of -o**3/21 - o**2/7 - o/7 + 8. Factor t(u).
-(u + 1)**2/7
Let a(m) be the second derivative of -m**7/189 + m**6/135 + m**5/90 - m**4/54 - 3*m + 15. Factor a(c).
-2*c**2*(c - 1)**2*(c + 1)/9
Let x(g) be the second derivative of 5*g**4/12 + 23*g**3/6 - 5*g**2 - 38*g. Let x(a) = 0. What is a?
-5, 2/5
Let i(o) be the first derivative of -2/39*o**3 - 2/13*o - 2/13*o**2 + 4. Solve i(b) = 0.
-1
Factor 18*d - 2*d - 3 + 9*d - 20*d**2 + 5*d**3 - 7.
5*(d - 2)*(d - 1)**2
Factor 3/5*o**3 + 6/5*o**2 + 3/5*o + 0.
3*o*(o + 1)**2/5
Let d(f) be the first derivative of 4/21*f**3 - 8/35*f**5 + 4/7*f + 5/7*f**2 - 1/21*f**6 - 2 - 2/7*f**4. Suppose d(g) = 0. What is g?
-2, -1, 1
Let t(v) be the third derivative of -v**10/378000 + v**9/151200 - v**5/12 - 6*v**2. Let a(p) be the third derivative of t(p). Factor a(q).
-2*q**3*(q - 1)/5
Suppose 3*q = -2*q + 20. Determine p so that -6*p**3 + 127*p - q*p**2 - 127*p = 0.
-2/3, 0
Let s(k) be the third derivative of k**7/70 + k**6/40 + 14*k**2. Find r, given that s(r) = 0.
-1, 0
Let l(n) be the second derivative of n**10/15120 - n**8/1680 + n**6/360 + n**4/3 - n. Let r(m) be the third derivative of l(m). What is o in r(o) = 0?
-1, 0, 1
Let v(y) = y**2 - 3*y - 6. Let h be v(6). Suppose z = 2 + h. Factor -11*o**4 - 9*o**3 - z*o**4 - 4*o**2 - 11*o**3.
-o**2*(5*o + 2)**2
Suppose 15 = 3*d - a - a, -5*a - 3 = 4*d. Let 0 + 0*l**4 - 2/5*l**d + 2/5*l**5 + 0*l + 0*l**2 = 0. Calculate l.
-1, 0, 1
Let n(t) = t**4 + t**3 - t. Let c(r) = -25*r**5 + 63*r**4 + 28*r**3 - 100*r**2 - 38*r. Let j(q) = c(q) + 2*n(q). Determine x, given that j(x) = 0.
-1, -2/5, 0, 2
Let b(x) be the first derivative of -7*x**6/45 + 6*x**5/25 + 2*x**4/5 - 8*x**3/45 - 8. Solve b(n) = 0 for n.
-1, 0, 2/7, 2
Let g(a) be the first derivative of 2*a**5/45 - a**4/6 - 4*a**3/9 + 8*a**2/9 - 17. Determine z so that g(z) = 0.
-2, 0, 1, 4
Let c(v) be the first derivative of 0*v**2 + 0*v + 8/45*v**3 + 9/5*v**6 + 6/5*v**5 - 16/15*v**4 - 3. Suppose c(n) = 0. Calculate n.
-1, 0, 2/9
Let r(z) be the second derivative of -z**7/945 + z**6/270 + z**2/2 + 4*z. Let y(s) be the first derivative of r(s). Find l, given that y(l) = 0.
0, 2
Let s = -21 - -25. Let l(i) be the second derivative of 0*i**3 + 0*i**2 + 1/42*i**s + 0 + 3*i. Factor l(g).
2*g**2/7
Let z = -7139/60 + 119. Let m(o) be the 