- 4/5 + 8/5*l**z - 4*l**3 - 4/5*l**4 + 2*l**5 = 0. What is l?
-1, 2/5, 1
Let w(p) be the third derivative of 5*p**8/336 + p**7/21 - p**6/24 - p**5/6 - 7*p**2. Let w(h) = 0. What is h?
-2, -1, 0, 1
Let q(g) = g + 9. Suppose 2*m = m - 7. Let c be q(m). Find d, given that -1/6 + 1/3*d - 1/6*d**c = 0.
1
Let s(l) = -9*l**4 + 24*l**3 - 32*l**2 + 8*l - 1. Let r(k) = -k**4 + k**3 - k**2 - 1. Let g(n) = 5*r(n) - s(n). Find d such that g(d) = 0.
-1/4, 1, 2
Factor i**3 + 0*i**3 - 5*i**3 + 3*i**3.
-i**3
Let o(q) = q**2 + 13*q - 27. Let g be o(-15). Let n(j) be the second derivative of 0 - 8/15*j**g - 1/6*j**4 - 1/50*j**5 - 4/5*j**2 + 3*j. Factor n(c).
-2*(c + 1)*(c + 2)**2/5
Let i(y) be the second derivative of -1/2*y**4 + 0*y**3 + 27/20*y**5 - 7/10*y**6 + 0 + 0*y**2 + 5*y. Factor i(c).
-3*c**2*(c - 1)*(7*c - 2)
Let f = 5 - 3. Let t(u) = -2*u**2 - f*u + u + 4 + 0*u. Let i(q) = -7*q**2 - 5*q + 16. Let z(d) = 6*i(d) - 22*t(d). Factor z(v).
2*(v - 2)**2
Let u = -22367/11 - -2035. Factor 0 - u*x**3 - 8/11*x**5 + 2*x**4 + 2/11*x + 2/11*x**2.
-2*x*(x - 1)**3*(4*x + 1)/11
Let v be (-2)/(-8) + (-56045)/100. Let f = v + 563. Solve -16/5*y**4 - 14/5*y + 2/5 + 46/5*y**3 - 32/5*y**5 + f*y**2 = 0.
-1, 1/4, 1
Let b(j) be the second derivative of 2*j**6/105 - 4*j**5/35 + 2*j**4/7 - 8*j**3/21 + 2*j**2/7 + 11*j. Determine p, given that b(p) = 0.
1
Factor 1/7*h**2 - 1/7*h**4 + 1/7*h + 0 - 1/7*h**3.
-h*(h - 1)*(h + 1)**2/7
Suppose 3*s = s + 4*g - 26, s + 18 = 3*g. Let v be (-1)/(s/9*1). Factor -1/4*b**5 + 5/4*b**4 - 5/4*b + 5/2*b**2 + 1/4 - 5/2*b**v.
-(b - 1)**5/4
Let n(t) be the first derivative of -3*t**4/4 - 4*t**3 - 9*t**2/2 - 3. Find b such that n(b) = 0.
-3, -1, 0
Let q = 36 + -26. Let w be (6/q)/((-4)/(-20)). Factor 2/9*n**w - 2/9*n + 2/9*n**2 - 2/9.
2*(n - 1)*(n + 1)**2/9
Suppose 0 = 2*l + 11 - 15. Suppose l*n + 13 = 17. Determine t so that 3/5*t**n - 6/5*t + 3/5 = 0.
1
Let h(b) be the first derivative of -b**5/5 + 11*b**4/4 - 12*b**3 + 8*b**2 + 64*b - 5. Factor h(w).
-(w - 4)**3*(w + 1)
Let r(w) be the first derivative of -w**6/135 + 2*w**5/45 - 5*w**4/54 + 2*w**3/27 - 4*w - 3. Let j(m) be the first derivative of r(m). Factor j(p).
-2*p*(p - 2)*(p - 1)**2/9
Let n(w) = -2*w + 16. Suppose -3*x + 5*x - 16 = 0. Let m be n(x). Find z such that 10/7*z**2 + m + 4/7*z**3 - 10/7*z**4 - 4/7*z = 0.
-1, 0, 2/5, 1
Let s(o) be the first derivative of -2 + 2*o + 5/4*o**4 + 9/2*o**2 + 4*o**3. Determine h so that s(h) = 0.
-1, -2/5
Let p be 11/4 + 3/(-12)*-1. Factor 4/3*c**2 + 0 + 2/3*c + 2/3*c**p.
2*c*(c + 1)**2/3
Let a(j) be the third derivative of -j**8/560 - j**7/70 - 9*j**6/200 - 7*j**5/100 - j**4/20 + 18*j**2. Factor a(f).
-3*f*(f + 1)**3*(f + 2)/5
Let n be 1/(4/(-60)*1). Let l be (-6)/n + 72/20. Factor 0*a - 4/7*a**2 - 6/7*a**3 + 0 + 10/7*a**l.
2*a**2*(a - 1)*(5*a + 2)/7
Suppose -3*k**2 + 15*k**2 + 6 - 21*k + 3*k**2 = 0. What is k?
2/5, 1
Let z(k) be the first derivative of k**3/9 + k**2/2 + 2*k/3 + 18. Factor z(t).
(t + 1)*(t + 2)/3
Factor -2/9*w**2 + 0*w + 2/9.
-2*(w - 1)*(w + 1)/9
Let j(c) be the first derivative of 1/4*c**4 + 5 + 5/2*c**2 - 4/3*c**3 - 2*c. Find n such that j(n) = 0.
1, 2
Let u(q) be the third derivative of q**5/270 - q**4/108 - 26*q**2. Factor u(d).
2*d*(d - 1)/9
Factor -1/3*t**2 + 0*t + 1/3.
-(t - 1)*(t + 1)/3
Let x = 103 - 101. Factor 0*o**x + 2/9*o**3 - 2/9*o + 0.
2*o*(o - 1)*(o + 1)/9
Let x(a) = a**2 - 1. Let s(m) = -4*m**2 - 6*m + 10. Let f(w) = -9*w**2 - 12*w + 19. Let i(d) = 2*f(d) - 5*s(d). Let n(b) = i(b) - 3*x(b). Solve n(p) = 0.
3
Factor -26/7*n - 10/7*n**2 + 2/7*n**3 - 2.
2*(n - 7)*(n + 1)**2/7
Let p(u) be the first derivative of u**3 - 2. Let z(r) = 16*r**2. Let a(b) = -11*p(b) + 2*z(b). Factor a(m).
-m**2
Let l(q) be the third derivative of q**5/390 + q**4/26 - 7*q**3/39 + 19*q**2. Find g, given that l(g) = 0.
-7, 1
Let g(f) be the third derivative of f**7/42 - f**5/4 - 5*f**4/12 - 10*f**2. Find o, given that g(o) = 0.
-1, 0, 2
Let v be (-11)/(-15) - (-11)/(-33). Determine x, given that -2/5*x**4 + 0 + 2/5*x + v*x**2 - 2/5*x**3 = 0.
-1, 0, 1
Let s(x) be the second derivative of -1/5*x**6 - 1/21*x**7 + x**3 + x**2 - 1/5*x**5 + 0 - 3*x + 1/3*x**4. Suppose s(a) = 0. What is a?
-1, 1
Let i = -219 + 1482/5. Let l = i + -77. Suppose -2/5 + l*v**2 + 0*v = 0. Calculate v.
-1, 1
Let p(t) be the first derivative of -2*t**5/5 - t**4 - 2*t**3/3 + 5. Let p(w) = 0. Calculate w.
-1, 0
Solve -4*r**2 + 8*r**2 + 3*r**3 - 2*r**3 - 5*r**2 - r + 1 = 0.
-1, 1
Let k be 0 + (1/(-4))/((-12)/24). Let j(u) be the first derivative of -1/8*u**2 - 2 + k*u - 1/12*u**3. Factor j(v).
-(v - 1)*(v + 2)/4
Let z(y) be the second derivative of 4*y + 0*y**3 - 1/60*y**5 + 2*y**2 + 1/24*y**4 + 0. Let f(q) be the first derivative of z(q). Factor f(o).
-o*(o - 1)
Let u = -191/18 + 55/9. Let s = 37/6 + u. Let -4/3 - s*y**2 + 1/3*y**3 + 8/3*y = 0. What is y?
1, 2
Let k(v) be the first derivative of 10/9*v**3 - 4 - 1/3*v**2 - 1/2*v**4 - 2/3*v. Factor k(q).
-2*(q - 1)**2*(3*q + 1)/3
Let y = -9/2 - -5. Factor -y*o + 1/8*o**2 + 1/2.
(o - 2)**2/8
Let t(m) be the third derivative of -m**9/16632 + m**8/9240 + m**3/2 - 2*m**2. Let n(y) be the first derivative of t(y). Factor n(c).
-2*c**4*(c - 1)/11
Let r(f) be the first derivative of f**5/20 - f**3/4 + f**2/4 - 41. Determine u, given that r(u) = 0.
-2, 0, 1
Let h(t) = -3*t**3 - 7*t**2 + 2*t - 4. Let f(g) = -g**3 - g**2 - 1. Let x(l) = -12*f(l) + 3*h(l). Let x(a) = 0. What is a?
0, 1, 2
Let a(h) be the first derivative of 19/18*h**4 + 4/9*h + 1 + 1/9*h**2 - 10/9*h**3 - 14/45*h**5. Factor a(p).
-2*(p - 1)**3*(7*p + 2)/9
Factor 6/13 + 2/13*r**5 - 22/13*r - 12/13*r**3 - 2/13*r**4 + 28/13*r**2.
2*(r - 1)**4*(r + 3)/13
Suppose 19*w - 38 - 38 = 0. Factor 2/3 + 2/3*t**4 + 8/3*t**3 + w*t**2 + 8/3*t.
2*(t + 1)**4/3
Let q = 24 + -20. Suppose q*d = -d. Factor -2/7*h**2 + 0*h + d.
-2*h**2/7
Let q be 15 + (-2 + -2)/(-4). Factor 20*c**3 + 2*c**4 - 4*c**4 - q*c**3.
-2*c**3*(c - 2)
Let x(v) be the third derivative of v**7/420 - v**6/60 + v**5/30 + v**3/6 + 6*v**2. Let y(j) be the first derivative of x(j). Factor y(t).
2*t*(t - 2)*(t - 1)
Let m(i) = -8*i**5 - 3*i**4 - 11*i**3 + 11*i**2. Let s(n) = -3*n**5 - n**4 - 4*n**3 + 4*n**2. Let j(w) = 4*m(w) - 11*s(w). What is k in j(k) = 0?
0, 1
Let q(c) be the second derivative of -7*c**4/18 + 2*c**3/9 - 13*c. Factor q(f).
-2*f*(7*f - 2)/3
Let y(d) be the second derivative of 5*d**6/27 + d**5/3 - 11*d**4/54 - 4*d**3/9 + 4*d**2/9 + 20*d. Let y(a) = 0. What is a?
-1, 2/5
Factor -3 - 21/2*r - 15/2*r**3 - 27/2*r**2 - 3/2*r**4.
-3*(r + 1)**3*(r + 2)/2
Suppose 0 = -4*o - o - 255. Let f = -33 - o. Factor 4 - 27/2*h**3 - f*h + 27*h**2.
-(3*h - 2)**3/2
Let f = 20 - 13. Suppose 5*n + 6 = f*n. Solve 2/3 + 2/3*m - 2/3*m**n - 2/3*m**2 = 0 for m.
-1, 1
What is y in -y + 0*y + y**3 + 4*y**2 + 5*y = 0?
-2, 0
Suppose -2*x = 2*x - 3*p - 35, -x - 5*p + 26 = 0. Suppose -5*t + 4 = -x. Factor 0 - 2/5*v**2 + 2/5*v**t + 0*v.
2*v**2*(v - 1)/5
Let g(i) be the first derivative of 2*i**6/75 - 2*i**4/15 + 2*i**2/5 - i - 6. Let c(w) be the first derivative of g(w). Factor c(h).
4*(h - 1)**2*(h + 1)**2/5
Suppose 9/5 - 9/5*l**2 - 1/5*l + 1/5*l**3 = 0. Calculate l.
-1, 1, 9
Let c(z) = 5*z**3 + 2*z**2. Suppose 2*r - 2*v = -4, -4*r + 6*r = 3*v - 7. Let t(k) = -k**3 - k**2. Let w(f) = r*c(f) + t(f). Factor w(o).
o**2*(4*o + 1)
Suppose 35*i = 33*i. Factor -6*f - 12*f**2 + i - 15/2*f**3 - 3/2*f**4.
-3*f*(f + 1)*(f + 2)**2/2
Let q be 8/2 - 95/24. Let c(v) be the second derivative of -q*v**4 + 0 + 1/4*v**2 + 0*v**3 + 2*v. Determine i, given that c(i) = 0.
-1, 1
Let x be (6/4)/((-3)/(-28)). Let s = 44 + -33. Find q such that -s*q**2 - 17/2*q**4 - 2*q**5 - 4*q - x*q**3 - 1/2 = 0.
-1, -1/4
Let g(p) be the second derivative of p**5/100 - p**4/20 - 6*p. Factor g(i).
i**2*(i - 3)/5
Let h = 9 - 5. Factor l + 2*l - h*l + 4*l - 3*l**2.
-3*l*(l - 1)
Let n(s) be the third derivative of -s**7/42 + s**6/12 + 7*s**5/12 - 25*s**4/6 + 10*s**3 - 7*s**2. Let n(w) = 0. What is w?
-3, 1, 2
Let k = 192 + -1342/7. Determine c so that 0*c**2 - 2/7*c + 0 + k*c**3 = 0.
-1, 0, 1
Factor -1/2*y**2 + y**3 + 1/2*y**4 - y + 0.
y*(y - 1)*(y + 1)*(y + 2)/2
Factor 363*d + 3 - 573*d + 2 + 2205*d**2.
5*(21*d - 1)**2
Suppose 3*q - 1 = 2. Let 0*g**2 - g + 2 - g + q - g**2 = 0. Calculate g