 -2/3, 0, 1/3
Let i(t) be the third derivative of 0*t + 0*t**3 + 0 - 1/240*t**5 + 0*t**4 - 2*t**2. Factor i(s).
-s**2/4
Let s be (3/(-9))/((-1)/6). Let p be -1 - ((s - 2) + -4). Solve 2 - 6*f + 6*f**2 + 3*f**3 - 3*f**p - 2*f**3 = 0.
1
Let j be (3/450)/(((-336)/15)/(-4)). Let z(b) be the third derivative of 0*b**4 + 0*b**3 + 0*b**6 + 0 - j*b**7 - 2*b**2 + 0*b**5 + 0*b. Factor z(h).
-h**4/4
Let l(z) = 10*z**4 + 46*z**3 + 120*z**2 + 80*z. Let v(y) = 2*y**4 + 9*y**3 + 24*y**2 + 16*y. Let m(g) = 3*l(g) - 14*v(g). Let m(k) = 0. Calculate k.
-2, 0
Let k(p) = p**2 + 9*p + 8. Let h be k(-8). Suppose h = -5*g + 3*f + 10, 5*g - 2 = 4*g + f. Factor 2*i + 4*i**g - 4 + i + 2*i**3 - 5*i.
2*(i - 1)*(i + 1)*(i + 2)
Suppose 2*h - 2 = f, -7*h - 5 = -3*f - 12*h. Factor f - y**3 + 1/3*y**4 + y**2 - 1/3*y.
y*(y - 1)**3/3
Let h be 415/540 - 3/4. Let t(c) be the second derivative of 1/9*c**2 + 0 + h*c**4 - 2/27*c**3 + 3*c. Factor t(v).
2*(v - 1)**2/9
Let v(z) be the second derivative of -z**6/30 - 3*z**5/20 - z**4/4 - z**3/6 + z. Factor v(l).
-l*(l + 1)**3
Let q(k) be the first derivative of -7*k**4/16 + k**3/6 + 7*k**2/8 - k/2 + 4. Find y, given that q(y) = 0.
-1, 2/7, 1
Let q be ((-18)/(-24))/(1/(-4)). Let x = q + 3. Determine f so that 3*f**2 + x*f**2 - f**2 = 0.
0
Determine v, given that 3/4*v**2 + 9/4 - 3*v = 0.
1, 3
Let k(a) be the second derivative of -a**7/273 - a**6/195 + a**5/65 + a**4/39 - a**3/39 - a**2/13 + 8*a. Factor k(q).
-2*(q - 1)**2*(q + 1)**3/13
Suppose -4*r + 20 = -52. Suppose r = 7*h - h. Let -4/3*n**2 + 1/3 + 1/2*n**h + 1/2*n = 0. What is n?
-1/3, 1, 2
Suppose 7 = -5*z + 2. Let p(d) = -d**4 + d. Let h(y) = -5*y**4 + 7*y**3 - 4*y**2 - y. Let u(a) = z*h(a) + 3*p(a). Find g, given that u(g) = 0.
-1/2, 0, 2
Let t(z) be the second derivative of 3/80*z**5 + 0 + 3/8*z**3 + 3*z + 3/16*z**4 + 3/8*z**2. Factor t(r).
3*(r + 1)**3/4
Let v = 53 + -49. Factor v*j**2 + 1/4 + 2*j.
(4*j + 1)**2/4
Let o(b) = -2*b - 2*b + 0*b**2 - 2*b**2 + 3*b**2. Let f be o(4). Factor 1/2*i**2 + f + 0*i + 5/2*i**3 + 2*i**5 + 4*i**4.
i**2*(i + 1)*(2*i + 1)**2/2
Factor 0 - 1/8*w**2 + 0*w + 1/4*w**3 - 1/8*w**4.
-w**2*(w - 1)**2/8
Solve -2*d**4 + 263*d - 1 - 3*d**4 - 10*d**3 - 253*d + 6 = 0.
-1, 1
Determine y, given that -12/13*y + 22/13*y**2 + 0 = 0.
0, 6/11
Suppose 4*i - 8 = 0, -3*i + 4*i = x. Find g such that -4*g**3 + 4*g + 4*g**x - 4 + g**3 - g**3 = 0.
-1, 1
Let u be 5 + 1 + (-2 - 0). Let x(v) = -5*v**2 + 13*v**3 - v**u + 0*v - 3*v**3 + 2*v. Let c(w) = w**4 + w**3 + w**2. Let y(m) = 2*c(m) - x(m). Factor y(n).
n*(n - 1)**2*(3*n - 2)
Let v(w) be the second derivative of -w**4/72 + 2*w**3/9 - 4*w**2/3 + 23*w. Factor v(d).
-(d - 4)**2/6
Suppose 34 = 2*x + 4*k, -4*k + 3 = -1. Let c = 18 - x. Factor -4/3*r**2 - 4/3*r - 1/3*r**c + 0.
-r*(r + 2)**2/3
Let m be 10/15*18/4. Let h(o) be the first derivative of -2 - 1/10*o**4 - 3/5*o**2 + 2/5*o + 2/5*o**m. Factor h(g).
-2*(g - 1)**3/5
Let g = 4 + -1. Let b be (g + -4 + 1)*1. Factor -49/5*z**5 - 32/5*z**3 + b + 4/5*z**2 + 77/5*z**4 + 0*z.
-z**2*(z - 1)*(7*z - 2)**2/5
Let f be ((-1)/5)/((-6)/30). Let j(c) = -2*c + 2. Let w be j(f). Suppose 0*d - 2/7*d**2 + 0 + w*d**3 + 2/7*d**4 = 0. What is d?
-1, 0, 1
Let o = -4/339919 + 2440958375/3059271. Let w = -797 + o. Determine c so that 10*c**5 + 196/9*c**4 + 0 + 0*c**2 - w*c + 38/3*c**3 = 0.
-1, -2/5, 0, 2/9
Let c(j) = 9*j - 448. Let a be c(50). Let -1/2 + 0*i + 1/2*i**a = 0. Calculate i.
-1, 1
Let l(r) be the second derivative of -1/12*r**4 - 1/6*r**3 - 2*r + 0 + r**2. Factor l(u).
-(u - 1)*(u + 2)
Let k = -7/12 + 73/84. Factor 2/7*f**3 + 2/7*f**2 - k*f - 2/7.
2*(f - 1)*(f + 1)**2/7
Let h(z) be the third derivative of z**7/315 + z**6/120 - z**4/72 + 16*z**2. Factor h(r).
r*(r + 1)**2*(2*r - 1)/3
Suppose 0 = -2*b + 4*b, -3*b = 5*q. Let d be q/2 - (-2 + -1). Factor 21*j**2 + 24*j + 3*j**3 - 8 - 3*j**2 - 17*j**d.
-2*(j - 2)*(j + 1)*(7*j - 2)
Let l(y) be the third derivative of -y**8/336 + y**7/70 - y**6/40 + y**5/60 - 22*y**2. Suppose l(x) = 0. What is x?
0, 1
Let u(m) be the second derivative of -4*m**2 - 2/15*m**6 - 7*m + m**5 - 3*m**4 + 0 + 14/3*m**3. Let u(h) = 0. Calculate h.
1, 2
Factor 0 - 2*h + 1/2*h**2.
h*(h - 4)/2
Let -34*g + 66*g**2 - 36*g**2 - 6*g + 32 - 42*g**2 = 0. What is g?
-4, 2/3
Let p(l) be the third derivative of -7*l**5/360 + l**4/24 + l**3/36 - 37*l**2. Determine j, given that p(j) = 0.
-1/7, 1
Let q(b) be the second derivative of b**4/16 - b**3/4 + 3*b. Let q(y) = 0. Calculate y.
0, 2
Let n(c) be the second derivative of -c**8/80 - 19*c**7/280 - c**6/8 - c**5/40 + c**4/4 + c**3/2 - 5*c. Let h(j) be the second derivative of n(j). Factor h(u).
-3*(u + 1)**3*(7*u - 2)
Factor 0 + 5/3*t**4 - 10/3*t**3 + 0*t + 0*t**2 + 5/3*t**5.
5*t**3*(t - 1)*(t + 2)/3
Let m be (-2)/7 - (-221)/357. Factor m*q**3 - 1/3*q + 1/3*q**2 - 1/3.
(q - 1)*(q + 1)**2/3
Let c = 159/92 + 1/46. Let 9/4*g**4 + 0*g**2 + 0 - c*g**5 + 0*g - 1/2*g**3 = 0. What is g?
0, 2/7, 1
Let d(h) be the first derivative of -2*h**3/15 - 26*h**2/5 - 338*h/5 - 6. Factor d(l).
-2*(l + 13)**2/5
Let v(u) be the second derivative of 0 + u - 1/84*u**7 + 1/18*u**6 + 1/12*u**4 - 1/36*u**3 + 0*u**2 - 1/10*u**5. Solve v(y) = 0.
0, 1/3, 1
Let z(a) be the second derivative of a**4/3 + 4*a**3/3 + 2*a**2 + 14*a. Factor z(m).
4*(m + 1)**2
Suppose -3*r + 3*t - 69 = 0, -3*t = 2*r - t + 38. Let q be (-6)/r + 6/(-21). What is k in 1/3*k**3 + 0 + 0*k + q*k**2 - 1/3*k**5 + 0*k**4 = 0?
-1, 0, 1
Let j(a) be the third derivative of -a**7/210 - a**6/40 - a**5/30 - 10*a**2. Find t such that j(t) = 0.
-2, -1, 0
Let o(m) = -m - 8. Let t be o(-5). Let n(h) = h + 4. Let s be n(t). Let s - 1 - f - 2*f**2 - f**3 = 0. Calculate f.
-1, 0
Let q be (-4)/195 + 2/13. Let g(d) be the second derivative of -d - 1/5*d**2 - 1/30*d**4 + 0 - q*d**3. Factor g(z).
-2*(z + 1)**2/5
Factor 2*k**4 + 0*k + 0 + 2*k**3 + 2/3*k**5 + 2/3*k**2.
2*k**2*(k + 1)**3/3
Let f(x) be the first derivative of x**7/420 + x**6/60 + x**5/30 - 2*x**3/3 - 5. Let z(p) be the third derivative of f(p). Factor z(i).
2*i*(i + 1)*(i + 2)
Let s be (-176)/(-84)*6/(-10). Let g = s + 13/7. Let -3/5*z**2 - 3/5*z + 3/5*z**3 + 0 + g*z**4 = 0. Calculate z.
-1, 0, 1
Solve 1/7*x**2 + 12/7*x + 36/7 = 0.
-6
Let b(m) = 6*m**4 - 11*m**3 - 5*m**2 + 7*m + 1. Let q(s) = 6*s**4 - 12*s**3 - 6*s**2 + 6*s + 3. Let f(a) = -3*b(a) + 2*q(a). Determine t, given that f(t) = 0.
-1, 1/2, 1
Let j be -2 + 3 + (-50)/(-15) + -4. Solve -5/3*a**2 - 4/3*a**3 + 0 - j*a = 0.
-1, -1/4, 0
Let o(n) be the first derivative of 0*n - 1/3*n**2 + 7/12*n**4 - 5/9*n**3 + 1. Let o(w) = 0. Calculate w.
-2/7, 0, 1
Let g(z) = -28*z**3 + 110*z**2 - 140*z + 37. Let s(b) = -55*b**3 + 220*b**2 - 280*b + 75. Let n(l) = 5*g(l) - 3*s(l). Solve n(o) = 0.
2/5, 2
Let u(c) be the second derivative of -1/40*c**5 - 3*c + 0 - 9/4*c**3 + 3/8*c**4 + 27/4*c**2. Factor u(g).
-(g - 3)**3/2
Let t(a) be the second derivative of 0 - 7/30*a**5 - 8/45*a**6 + 0*a**3 - 8*a - 1/9*a**4 - 1/21*a**7 + 0*a**2. Factor t(c).
-2*c**2*(c + 1)**2*(3*c + 2)/3
Let c = 51 - 51. Let h(j) be the third derivative of 0*j**7 + 0*j + 0*j**3 - 1/1848*j**8 + c + 1/330*j**6 - 1/132*j**4 + 0*j**5 + 3*j**2. What is b in h(b) = 0?
-1, 0, 1
Factor 2/7*p**2 - 2/7*p**4 - 4/7*p + 0 + 4/7*p**3.
-2*p*(p - 2)*(p - 1)*(p + 1)/7
Let y(v) be the second derivative of -3*v - 1/40*v**5 + 0 + 0*v**2 - 1/12*v**3 + 1/12*v**4. Factor y(i).
-i*(i - 1)**2/2
Suppose 3 = -2*v + 11. Factor 6*m**3 - 6*m - 2*m**v - 2*m**2 + 5 - 1 + 0.
-2*(m - 2)*(m - 1)**2*(m + 1)
Let j(s) be the first derivative of 3*s**5/10 + 9*s**4/8 + s**3 + 3. Factor j(z).
3*z**2*(z + 1)*(z + 2)/2
Factor 12*j**3 - 5 - 3 + j**2 - 12*j + 3*j**2 - j**4 + 5*j**4.
4*(j - 1)*(j + 1)**2*(j + 2)
Let d be 3 - (1408/(-4))/2. Let l = -891/5 + d. Factor 0 + 0*n**3 + 4/5*n**4 - l*n**2 + 2/5*n - 2/5*n**5.
-2*n*(n - 1)**3*(n + 1)/5
Let x(s) be the first derivative of 3*s**4/8 + s**3/2 - 3*s**2/4 - 3*s/2 - 5. Factor x(l).
3*(l - 1)*(l + 1)**2/2
Suppose 3*s + 103 = -w, -3*s - 155 = 2*s + 5*w. Let t be 2/(-13) + s/(-65). Let 0 + 2/5*k**2 - t*k = 0. Calculate k.
0, 1
Let a(u) be the third derivative of -u**5/330 + 7*u**4/66 - 49*u**3/33 - 15*u**2. Solve a(p) = 0.
7
Let k(s) be the second derivative of -s**5/90 + s**4/54 + 2*s**3/27 + 3*s. Find m, given that k(m) = 0.
-1, 0,