+ 1)/7
Let u be 158/(-252) + (-36)/(-63). Let x = u + 41/90. Determine i, given that 4/5*i + x*i**2 + 0 - 44/5*i**3 - 42/5*i**4 = 0.
-1, -1/3, 0, 2/7
Let g(w) = -w**2 - 7*w - 1. Let t be g(-6). Let l = -1 - -4. Factor 8*h**2 + 2*h + t*h**3 - 3*h**l + 6*h.
2*h*(h + 2)**2
Let t(q) = -3*q**3 + 13*q**2 - 6*q - 8. Let b(f) = -6*f**3 + 27*f**2 - 12*f - 18. Let y(c) = 4*b(c) - 9*t(c). Let y(h) = 0. Calculate h.
0, 1, 2
Let f(j) be the first derivative of -j**7/420 + j**6/240 + j**5/40 - j**4/48 - j**3/6 + 3*j**2/2 - 1. Let m(r) be the second derivative of f(r). Factor m(o).
-(o - 2)*(o - 1)*(o + 1)**2/2
Let a(h) be the first derivative of -1 + 0*h**3 - h**2 + 0*h**4 + 1/60*h**6 + 0*h + 1/30*h**5. Let d(g) be the second derivative of a(g). Factor d(k).
2*k**2*(k + 1)
Let f be (-4)/15*3*(-1)/2. Factor 4/5*j**4 + 0*j**3 - 4/5*j**2 + 2/5*j**5 - f*j + 0.
2*j*(j - 1)*(j + 1)**3/5
Let q(f) be the third derivative of -5*f**8/336 + 26*f**7/105 - 37*f**6/24 + 133*f**5/30 - 20*f**4/3 + 16*f**3/3 - 24*f**2. Find o, given that q(o) = 0.
2/5, 1, 4
Let n(h) be the first derivative of -h**3 - 3*h**2/2 - 3. Let n(p) = 0. Calculate p.
-1, 0
What is b in -3*b**2 - 5*b + 13 - 3 - 2 - 6 = 0?
-2, 1/3
Let m(v) be the third derivative of 0*v**4 - 3*v**2 - 1/120*v**6 - 2/525*v**7 + 0*v - 1/300*v**5 + 0 + 0*v**3. Let m(s) = 0. What is s?
-1, -1/4, 0
Let m(h) = -h - 3. Let v be m(-7). Let u(b) = b**2 - 2. Let z be u(-2). Determine l so that l**5 - l**4 + 6*l**3 - 2*l**2 - 3*l**v - 2*l**z + l = 0.
0, 1
Find f, given that 1 - f**2 - 15/4*f = 0.
-4, 1/4
Factor 4*d**2 + 8/3 + 20/3*d.
4*(d + 1)*(3*d + 2)/3
Suppose -4*g + r + 2*r + 80 = 0, 2*r = -8. Suppose 13 - g = -2*d. Suppose -1/4*t - 1/4*t**d + 1/2 = 0. What is t?
-2, 1
Let i(s) be the first derivative of 0*s**3 - 4/45*s**5 - 1/9*s**6 + 0*s + 0*s**2 - 2 + 0*s**4. Factor i(g).
-2*g**4*(3*g + 2)/9
Let v(q) be the first derivative of -1/18*q**3 + 3 + 2*q + 1/36*q**4 + 0*q**2. Let b(x) be the first derivative of v(x). Find h, given that b(h) = 0.
0, 1
Let n be (8/3)/((-6)/(-9)). Factor d**2 - d**3 - 2*d**4 - 2*d**2 + d + 3*d**n.
d*(d - 1)**2*(d + 1)
Let u be (-1 - 2) + -3*(-10)/6. Factor -2/5*l**3 + 2/5*l**4 + 0 + 0*l - 4/5*l**u.
2*l**2*(l - 2)*(l + 1)/5
Let v(n) = 3*n**3 - 6*n**2. Let z be -4 - ((-8 - 4) + 2). Let s(m) = 3*m**3 - 6*m**2. Let c(l) = z*v(l) - 7*s(l). Solve c(y) = 0.
0, 2
Let q(s) be the first derivative of -s**7/280 + 3*s**5/40 + s**4/4 + 2*s**3/3 - 2. Let v(z) be the third derivative of q(z). Factor v(j).
-3*(j - 2)*(j + 1)**2
Let o(d) be the first derivative of d**4/28 + 2*d**3/7 + 9*d**2/14 + 4*d/7 + 27. Factor o(x).
(x + 1)**2*(x + 4)/7
Suppose 2*j - 5*b - 10 = 0, -4 = 2*j + b + b. Factor -2/5*c**2 - 2/5*c**3 + j*c + 0 + 2/5*c**4 + 2/5*c**5.
2*c**2*(c - 1)*(c + 1)**2/5
What is v in 4/13*v**2 + 2/13*v**4 + 0*v + 0 + 6/13*v**3 = 0?
-2, -1, 0
Suppose -28 = 4*c + b + b, -2*b + 21 = -3*c. Let t = 10 + c. Let -2/7*p**2 + 0*p**t + 2/7*p**4 + 0*p + 0 = 0. Calculate p.
-1, 0, 1
Let k(i) be the first derivative of i**6/80 + i**5/16 - i**4/8 + 7*i**3/3 - 5. Let w(h) be the third derivative of k(h). Factor w(c).
3*(c + 2)*(3*c - 1)/2
Let u be 4 + 15/(-1 - -6). Suppose u*i - 2 = 12. Determine d so that 0*d - 3/4 + 3/4*d**i = 0.
-1, 1
Let z be (48/(-9))/(2/(-78)). Let x = z + -821/4. Let -1/2*j + 0 + x*j**2 + 5/2*j**4 - 19/4*j**3 = 0. Calculate j.
0, 2/5, 1/2, 1
Let h(j) be the second derivative of -j**6/25 - 3*j**5/50 + 7*j**4/90 + j**3/9 - 2*j**2/15 - 3*j. Determine r so that h(r) = 0.
-1, 1/3, 2/3
Let a(i) = 2*i**3 - 4*i**2 + 2*i + 1. Let v(w) = -w. Let j be v(-2). Let o be a(j). What is d in 0*d**4 + 4*d**5 - d**4 - 2*d**3 + 0*d**3 - 3*d**o = 0?
-1, 0, 2
Let f(j) be the second derivative of -j**4 - 2*j**3 - 5*j**2 + j. Let o(r) = r**2 + r + 1. Let g(y) = f(y) + 10*o(y). Find x, given that g(x) = 0.
-1, 0
Let v(m) be the second derivative of 3/35*m**5 + 0 - 2/21*m**3 + 0*m**2 - 4*m - 2/147*m**7 + 1/105*m**6 + 1/42*m**4. Find g, given that v(g) = 0.
-1, 0, 1/2, 2
Let a(k) be the second derivative of k**5/60 + 2*k**4/27 + k**3/18 - k**2/9 - 35*k + 2. Factor a(h).
(h + 1)*(h + 2)*(3*h - 1)/9
Let a = -511 - -511. Let q be (-6)/(-15) - (-16)/10. Factor -3/2*x**q + a - x.
-x*(3*x + 2)/2
Let m be -4*(-4)/8 - 0/(-1). Let u(r) be the second derivative of 3*r + 4/5*r**m - 1/75*r**6 - 4/15*r**3 - 1/10*r**4 + 0 + 2/25*r**5. Solve u(q) = 0 for q.
-1, 1, 2
Solve -4/11 - 40/11*x**4 + 4*x**2 + 6/11*x**3 - 6/11*x = 0.
-1, -1/4, 2/5, 1
Let f(v) be the third derivative of -1/60*v**5 + 0*v**3 - 4*v**2 + 1/60*v**6 - 1/210*v**7 + 0*v**4 + 0*v + 0. Let f(z) = 0. Calculate z.
0, 1
Let s = 0 + 2. Factor 2 + 0*r**2 - 2*r**2 + 2*r**4 - 4*r**2 + 2*r**s.
2*(r - 1)**2*(r + 1)**2
Factor 4*g + 12*g + 32 + 2*g**2 + 0*g**2.
2*(g + 4)**2
Let g = 2968/64755 + -2/1439. Let u(d) be the first derivative of -g*d**5 + 5 + 0*d**3 - 2/9*d**2 + 2/9*d + 1/9*d**4. Suppose u(w) = 0. What is w?
-1, 1
Let a(d) = -4*d**2 + 2. Suppose 20 = 5*i - 25. Let l(g) = -17*g**2 + 2*g**3 + 1 + 0 - g**3 + 8. Let n(m) = i*a(m) - 2*l(m). Factor n(q).
-2*q**2*(q + 1)
Let z be (-40)/(-12) + 2/4. Let n = z + -7/2. Find x, given that -1/3*x**2 + n*x + 0 = 0.
0, 1
Let v be ((-1)/3)/((-2)/18). Suppose 0*z**3 + 19 + 4*z**2 - 19 - 2*z**v = 0. Calculate z.
0, 2
Let -12/5*r**4 + 0*r + 3/5*r**5 + 3*r**3 - 6/5*r**2 + 0 = 0. What is r?
0, 1, 2
Let y(s) be the first derivative of s**4 + 16*s**3/3 + 10*s**2 + 8*s + 29. Factor y(j).
4*(j + 1)**2*(j + 2)
Let d(l) = 4 - 4*l - 5 - 3 + 3*l. Let x be d(-6). Factor 10*n - x - 25/2*n**2.
-(5*n - 2)**2/2
Let h = -4 - -7. Factor -f**h - 1 + 0 - 1 + f + 2*f.
-(f - 1)**2*(f + 2)
Suppose i = 15 - 13. Let z(p) be the second derivative of 0 + 1/75*p**6 + 1/5*p**i - 1/15*p**4 + 0*p**5 + 0*p**3 - 2*p. Factor z(u).
2*(u - 1)**2*(u + 1)**2/5
Suppose 4*o = 3*o. Suppose o = 2*u - 0 - 6. Solve 22/3*q**u + 4*q**4 - 16/3 + 2/3*q**5 + 4/3*q**2 - 8*q = 0.
-2, -1, 1
Factor -1/2*s**2 + 1/2*s**4 + 0 + 0*s**3 + 0*s.
s**2*(s - 1)*(s + 1)/2
Let q = 5/232 - -429/1624. Factor -2/7 + 6/7*w - 6/7*w**2 + q*w**3.
2*(w - 1)**3/7
Suppose -l + 19 = 6*d - 2*d, 5*d = 2*l + 27. Let t be 4 + (l + -3 - 0). What is i in t*i**4 + 0 + 0*i - 1/5*i**5 + 0*i**3 + 0*i**2 = 0?
0
What is w in -1/2*w**2 - 2 - 5/2*w = 0?
-4, -1
Let l(r) be the third derivative of -r**6/120 - r**5/15 - r**4/8 - 5*r**2. Let y be l(-3). Find q, given that 3/2*q**3 - 1/2*q**2 + 0*q - q**4 + y = 0.
0, 1/2, 1
Let l(v) be the third derivative of -v**6/420 + 2*v**5/105 - 5*v**4/84 + 2*v**3/21 + 5*v**2. Solve l(z) = 0.
1, 2
Let u(j) = 38*j**4 - 30*j**3 - 67*j**2 + 30*j + 15. Let z(b) = -13*b**4 + 10*b**3 + 22*b**2 - 10*b - 5. Let v(w) = 2*u(w) + 7*z(w). Let v(p) = 0. Calculate p.
-1, -1/3, 1
Let w(a) be the second derivative of a**4/4 - 5*a**3 + 75*a**2/2 + 4*a. Factor w(t).
3*(t - 5)**2
Let v(h) = 4*h**2 - 6*h - 2*h + 0*h**2 - 5. Let g(i) = 2*i**2 - 4*i - 3. Let u(b) = 5*g(b) - 3*v(b). Find l, given that u(l) = 0.
0, 2
Let c be (1/4)/(1/8). Factor -g**2 - 7 + g**4 + 8 - g**c.
(g - 1)**2*(g + 1)**2
Let c = -1802/7 + 258. Suppose 0*q + 0 + c*q**2 = 0. Calculate q.
0
Let s = 13 - 7. Suppose 5*v - 3*d - s + 0 = 0, -3*v + 4*d = 3. Find x, given that -2 + 0 - x**2 + 0*x - v*x = 0.
-2, -1
Factor 4/3*w**2 + 2/9 + 8/9*w + 2/9*w**4 + 8/9*w**3.
2*(w + 1)**4/9
Find d, given that -2*d**2 + 16*d + 4 - 2 + 30 + 4*d**2 = 0.
-4
Factor -18/11*c**3 - 54/11*c - 54/11*c**2 + 0 - 2/11*c**4.
-2*c*(c + 3)**3/11
Solve -1/4*m**2 - 1/2 - 3/4*m = 0 for m.
-2, -1
Let n(u) be the second derivative of 3*u**5/35 - u**4/42 + 7*u. Factor n(y).
2*y**2*(6*y - 1)/7
Solve -13/2*o**3 + 8*o**2 - 8 + 0*o**4 + 1/2*o**5 + 6*o = 0.
-4, -1, 1, 2
Let n = -36 - -36. Let s(w) be the first derivative of -4/21*w**3 - 1/7*w**6 + 3 + 3/14*w**4 + n*w**2 + 0*w + 4/35*w**5. Find i, given that s(i) = 0.
-1, 0, 2/3, 1
Factor 8/7*s + 8/7 + 2/7*s**2.
2*(s + 2)**2/7
Factor 0*p**3 + 0 + 0*p + 0*p**2 + 2/5*p**5 - 2/5*p**4.
2*p**4*(p - 1)/5
Let k(p) be the second derivative of -p + 0 + 1/60*p**4 - p**2 - 1/150*p**5 + 0*p**3. Let s(y) be the first derivative of k(y). Let s(l) = 0. What is l?
0, 1
Let j(q) be the second derivative of q**5/120 - q**3/12 - q**2/6 + 9*q. Find u, given that j(u) = 0.
-1, 2
Let t(a) be the second derivative of 3*a + 3/40*a**5 + 0 - 1/40*a**6 + 3/8*a**2 + 0*a**4