Let z(t) = 0. Calculate t.
-3, 1
Factor 2/15*z - 2/15*z**4 + 0 + 2/15*z**2 - 2/15*z**3.
-2*z*(z - 1)*(z + 1)**2/15
Let n(t) be the second derivative of -3*t**4/8 + 5*t**3/4 - 3*t**2/2 + 8*t. Factor n(c).
-3*(c - 1)*(3*c - 2)/2
Let u(h) be the second derivative of 0*h**3 + 1/55*h**5 - 1/165*h**6 + 0*h**4 + 3*h + 0*h**2 + 0. Factor u(n).
-2*n**3*(n - 2)/11
Determine b so that -132/5*b**3 - 16/5*b + 0 - 88/5*b**2 - 14/5*b**5 - 74/5*b**4 = 0.
-2, -1, -2/7, 0
Let c(i) = -130*i**2 + 32*i + 46. Let r(z) = 43*z**2 - 11*z - 15. Let m(g) = -6*c(g) - 20*r(g). Factor m(q).
-4*(4*q - 3)*(5*q + 2)
Let k(u) be the second derivative of 3/20*u**5 - u**4 + 0*u**2 - 6*u + 2*u**3 + 0. What is c in k(c) = 0?
0, 2
Factor -2*o**3 + 4*o**4 - 2*o**5 + 0*o**4 - o**2 + o**2.
-2*o**3*(o - 1)**2
Let v be (16 - 0) + 3/(-1). Suppose 5*n + 1 - 11 = -2*h, -2*n = -h - v. Find g such that 4*g**5 + g**n - 3*g**5 - g**3 - g**2 - 2*g**3 + 2*g**3 = 0.
-1, 0, 1
Let p(z) be the first derivative of z**3/9 + z**2/2 - 4*z/3 - 54. Factor p(h).
(h - 1)*(h + 4)/3
Let w(c) be the second derivative of c**7/2520 + c**6/1080 - c**3/3 + 6*c. Let g(i) be the second derivative of w(i). Factor g(n).
n**2*(n + 1)/3
What is p in 4/5*p**2 - 8/5 + 4/5*p = 0?
-2, 1
Factor 18*r**2 + r**2 - 21*r**2 + 2.
-2*(r - 1)*(r + 1)
Let v be -7 - -3*6/2. Factor -i**4 + 0 + 1/3*i**5 + 0*i - 1/3*i**v + i**3.
i**2*(i - 1)**3/3
Let m(o) be the first derivative of 8/35*o**5 + 2/7*o - o**2 - 13/14*o**4 + 10/7*o**3 - 5. Determine l so that m(l) = 0.
1/4, 1
Let h(i) be the first derivative of -i**4/6 - 3*i + 6. Let a(p) be the first derivative of h(p). Factor a(c).
-2*c**2
Let y(t) be the third derivative of -t**6/480 + t**5/120 + t**4/24 - t**3/3 + t**2. Determine m, given that y(m) = 0.
-2, 2
Suppose 4*c - 2*c = 2. Let t be (-3)/15*(-3 + c). Factor 2/5*b**3 + 0*b + 0*b**2 + 4/5*b**4 + 0 + t*b**5.
2*b**3*(b + 1)**2/5
Factor -2*s**3 + 0 + 2/5*s**4 - 6/5*s + 14/5*s**2.
2*s*(s - 3)*(s - 1)**2/5
Let n(j) be the first derivative of 15*j**5 + 85*j**4/4 + 32*j**3/3 + 2*j**2 - 6. Factor n(l).
l*(3*l + 1)*(5*l + 2)**2
Let g(o) be the second derivative of o**5/20 - o**4/2 + 3*o**3/2 - o**2 + 4*o. Let v(l) be the first derivative of g(l). Find m, given that v(m) = 0.
1, 3
Factor 24*m**2 - 15*m**2 - 2*m**3 + 0*m**3 - 7*m**2.
-2*m**2*(m - 1)
Let r(m) be the second derivative of 0*m**2 - 1/12*m**4 + 0 + 2*m + 3/40*m**5 - 1/60*m**6 + 0*m**3. Let r(d) = 0. What is d?
0, 1, 2
Let q(p) be the first derivative of -p**5/30 + p**4/20 + 2*p**3/15 - 2*p**2 + 3. Let n(s) be the second derivative of q(s). Factor n(x).
-2*(x - 1)*(5*x + 2)/5
Let 0*m**4 - 20/7*m**3 + 0*m**2 + 0 + 4/7*m**5 + 16/7*m = 0. Calculate m.
-2, -1, 0, 1, 2
Suppose -2*j = -0*s - 3*s + 35, 0 = s - 5*j - 29. Let z be (-8)/(-36) - (-2)/s. Factor -2/9 + z*i - 2/9*i**2.
-2*(i - 1)**2/9
Let x(u) be the second derivative of 0 + 0*u**2 + 3*u + 31/10*u**5 + 7/3*u**6 - 4/3*u**4 - 4/3*u**3. Let x(g) = 0. Calculate g.
-1, -2/7, 0, 2/5
Suppose -5*b - 2 = -7*b. Let i = b + 2. Factor -3*v**2 + 3 - 5*v**3 - i*v + 8*v**3 + 0*v**3.
3*(v - 1)**2*(v + 1)
Let s(r) be the third derivative of r**6/600 + r**5/300 - r**4/24 + r**3/10 + 4*r**2. Factor s(n).
(n - 1)**2*(n + 3)/5
Let c = 145 - 143. Let n be (1 + -2)*(0 - 3). Find g, given that 1/3*g + 1/3*g**4 + g**n + 0 + g**c = 0.
-1, 0
Let x(t) be the third derivative of -7/240*t**6 + 5/48*t**4 + 0 + 1/336*t**8 + 0*t - 1/6*t**3 - 5*t**2 + 1/120*t**5 + 1/420*t**7. Solve x(b) = 0.
-2, -1, 1/2, 1
Suppose 10 = -0*j - 2*j. Let v be ((-12)/(-20))/((-1)/j). Factor -3*s**2 + 3*s**5 + 2*s - 6*s**5 - s**3 + v*s**4 + 2*s**5.
-s*(s - 2)*(s - 1)**2*(s + 1)
Let s = 23 + -23. Let p(d) be the third derivative of 0*d**4 + 0*d**5 - 1/1344*d**8 + s*d + 0*d**3 + 0 + 0*d**7 + 1/480*d**6 - 2*d**2. Factor p(o).
-o**3*(o - 1)*(o + 1)/4
Let u(a) be the third derivative of -a**7/70 + a**6/40 + a**5/20 - a**4/8 + 11*a**2. Find h such that u(h) = 0.
-1, 0, 1
Let t(w) be the third derivative of -w**5/60 + w**4/12 - w**3/6 + 5*w**2. Factor t(o).
-(o - 1)**2
Let k be 3*-1 - (-30)/9. Let m be -1*((-2)/(-3))/(-2). Determine x so that k + x**2 + m*x**3 + x = 0.
-1
Suppose -q + 6*q - 5 = 0. Determine b so that -b**3 - q + 1 + 2*b + b**2 = 0.
-1, 0, 2
Let r be 4/(-1 - (-18)/15). Let p be -2 - (r/(-16) + -1). What is w in -p*w**2 + 0 - 1/2*w + 1/2*w**3 + 1/4*w**4 = 0?
-2, -1, 0, 1
Let b = 436 - 10459/24. Let l(r) be the second derivative of b*r**4 - r + 0 - r**3 + r**2. Suppose l(w) = 0. Calculate w.
2/5, 2
Let z be (-27)/18 - 1/2. Let j be (3/9)/(z/(-2)). Let 0 + j*i**2 - 1/3*i**5 + 0*i - i**3 + i**4 = 0. Calculate i.
0, 1
Let d(w) be the third derivative of w**7/56 + 2*w**6/15 + 7*w**5/240 - 17*w**4/48 + w**3/3 - 24*w**2. Solve d(c) = 0 for c.
-4, -1, 1/3, 2/5
Let c(v) be the third derivative of -1/105*v**5 - 1/420*v**6 + 1/84*v**4 - 2*v**2 + 0 + 2/21*v**3 + 0*v. Factor c(a).
-2*(a - 1)*(a + 1)*(a + 2)/7
Let j = -38 - -37. Let l be (j + -1 - -5)*1. Factor -2/3*o**2 + 0*o + 8/3*o**l + 0.
2*o**2*(4*o - 1)/3
Let o(y) be the second derivative of y**8/21280 - y**7/11970 - 7*y**6/6840 - y**5/570 + y**4/4 - 5*y. Let p(s) be the third derivative of o(s). Factor p(t).
2*(t - 2)*(t + 1)*(3*t + 1)/19
Let j(p) be the second derivative of p**6/6 - 3*p**5/2 + 5*p**4 - 20*p**3/3 - 9*p. Factor j(c).
5*c*(c - 2)**3
Factor -2*a**3 + 10*a**2 - 10*a**2 - 2*a + 4*a**3.
2*a*(a - 1)*(a + 1)
Let d = 2341/4 + -585. Factor 1/4*c - d*c**3 + 3/4 - 3/4*c**2.
-(c - 1)*(c + 1)*(c + 3)/4
Let a(z) be the third derivative of z**5/140 - 3*z**4/56 + z**3/7 - 2*z**2. Suppose a(f) = 0. Calculate f.
1, 2
Let t(c) be the first derivative of -14*c**5/55 + 5*c**4/22 + 4*c**3/33 - 1. Find n such that t(n) = 0.
-2/7, 0, 1
Suppose 0 = 3*t - 3*o - 0*o + 15, 3*o - 15 = -4*t. Factor t + 2/7*a - 2/7*a**2.
-2*a*(a - 1)/7
Suppose 3*c = -5*j + 4, 6*j - 4 = 2*j - 2*c. Let m be (-4)/6*18/(-4). Factor -2*l**4 + 6*l**4 - m*l**3 + 7*l**3 + j*l**4.
2*l**3*(3*l + 2)
Let h = -7 - -11. Let t(r) = 2*r**3 - 5*r**2 + 7*r + 7. Let o(q) = q**3 - 3*q**2 + 4*q + 4. Let l(a) = h*t(a) - 7*o(a). Find g, given that l(g) = 0.
-1, 0
Let j = 8 + -6. Determine n so that 1 + 2 - 1 - 2*n - 6*n**j + 4*n**2 + 2*n**3 = 0.
-1, 1
Let c be ((-12)/(-3000))/(12/10). Let r(g) be the third derivative of 0 + 1/350*g**7 + 4*g**2 - c*g**5 + 1/60*g**4 + 0*g**3 - 1/150*g**6 + 0*g. Factor r(h).
h*(h - 1)**2*(3*h + 2)/5
Let d = 9877/11 + -899. Let a = -86/99 - d. Solve 2/9*x**3 + 0 + 2/9*x**4 - 2/9*x**2 + 0*x - a*x**5 = 0 for x.
-1, 0, 1
Determine n so that -4*n**3 + 12*n**3 + 2 - 8*n - 2*n**4 - 2*n**4 + 2 = 0.
-1, 1
Suppose 69 - 181 = -2*b. Factor -5*t**3 + 58*t**4 + t**3 - b*t**4 + 2*t**2.
2*t**2*(t - 1)**2
Factor -4 - 1431*y**2 + 32 + 26*y + 1429*y**2.
-2*(y - 14)*(y + 1)
Let h(w) = -4*w + 24. Let c be h(5). Let i(a) be the third derivative of 0 + 1/40*a**6 + 0*a**c + 0*a + 1/35*a**7 - 1/20*a**5 - 2*a**2 + 0*a**3. Factor i(t).
3*t**2*(t + 1)*(2*t - 1)
Let b be ((-3)/(-2))/(3/10). Suppose -4*i + 9 = 3*z - 1, 4*i - 26 = b*z. Find l, given that i*l + l**2 - l - l - 2*l**2 = 0.
0, 2
Let x be ((-34)/(-10) - (-27)/45) + -1. Factor 2/3*z**x + 4/3*z**4 + 0 + 2/3*z**5 + 0*z**2 + 0*z.
2*z**3*(z + 1)**2/3
Factor 6/7*b**2 + 4/7*b + 0 + 0*b**3 - 2/7*b**4.
-2*b*(b - 2)*(b + 1)**2/7
Suppose 0*n + n - 3 = 0. What is v in -5*v**3 + 1 + 5*v**n - v**3 - v**2 + v = 0?
-1, 1
Suppose 9*c - 4*c - 4*y = 19, c + y - 2 = 0. Suppose 18*x**3 - 6*x**2 - 3*x**c - 2*x**2 + 13*x**3 = 0. What is x?
0, 2/7
Let f(d) be the second derivative of -d**7/14 + 7*d**6/10 - 21*d**5/20 - 19*d**4/4 + 8*d**3 + 30*d**2 + 7*d + 4. Determine j so that f(j) = 0.
-1, 2, 5
Suppose 2/5*p**4 + 0 - 2/5*p**2 - 4/5*p + 2*p**3 - 6/5*p**5 = 0. What is p?
-1, -2/3, 0, 1
Let c(v) be the second derivative of 2*v + 0*v**2 + 1/42*v**7 + 0 + 0*v**4 + 1/6*v**3 + 0*v**6 - 1/10*v**5. Solve c(z) = 0.
-1, 0, 1
Suppose 18 = 2*q + 4*l, -q + l = -3*l + 15. Let k = 5/3 - q. Factor 0 - 2/3*c + k*c**2.
2*c*(c - 1)/3
Let q be (-19)/((-1330)/(-40))*14/(-10). Factor q + 8/5*d**2 - 18/5*d.
2*(d - 2)*(4*d - 1)/5
Let s = 1485 - 178199/120. Let t(m) be the third derivative of 1/24*m**4 + 1/12*m**3 + s*m**5 + 0 + 0*m - m**2. Factor t(i).
(i + 1)**2/2
Let u(k) = -5*k**5 + 23*k**4 - 45*k**3 + 37*k**2 - 10*k. Let v(a) = 25*a**5 - 114*a**4 + 225*a**3 - 18