u - 505 = 4*v. Let c = -123 - v. Find j such that 1/7*j**c + 1/7*j + 0 = 0.
-1, 0
Suppose -50 = 11*k - 16*k. Suppose -2*q - 2 = 4*x - k, 4*x = 4*q + 8. Factor 0 + q*j - 4/5*j**2.
-4*j**2/5
Let m(s) be the second derivative of 21/80*s**5 + 0 + 15/8*s**4 + 2*s + 0*s**2 + s**3. Suppose m(o) = 0. Calculate o.
-4, -2/7, 0
Let y(a) be the first derivative of -2/7*a**3 - 3/5*a**5 - 6/7*a**4 + 3/7*a - 1/7*a**6 + 33 + 3/7*a**2. Factor y(f).
-3*(f + 1)**4*(2*f - 1)/7
Let q be 9/7 - (-10)/(-35). Factor -3*l - 3*l**2 + 2 + 3 + q.
-3*(l - 1)*(l + 2)
Suppose 3 = -79*v + 3*v + 231. Determine p so that 44/5*p**2 - 76/5*p**v - 8/5*p + 0 - 12/5*p**5 + 52/5*p**4 = 0.
0, 1/3, 1, 2
Let d(p) be the third derivative of p**7/175 + p**6/40 + 3*p**5/100 - p**4/40 - p**3/10 + 14*p**2. Suppose d(h) = 0. What is h?
-1, 1/2
Suppose -9*c - 217 + 595 = 117*c. Factor -2 + 1/3*f**c + 2/3*f**2 - 5/3*f.
(f - 2)*(f + 1)*(f + 3)/3
Suppose -1/2*k + 1/6*k**2 + 0 = 0. Calculate k.
0, 3
Suppose z = -4*c - 18, -5*c - 22 = -5*z + 13. Suppose -30 = -6*r + 2*r - 2*n, -18 = -z*r - 2*n. Find l, given that -4 - l - r*l**2 - 4 - l**3 - 11*l = 0.
-2
Suppose 2*y + 4 = -12. Let m be ((-18)/9)/((-5)/((-10)/y)). Find g such that 1/2 - g**2 + 1/4*g - m*g**3 + 1/4*g**5 + 1/2*g**4 = 0.
-2, -1, 1
Let s = 271/110 - -2/55. Let t(d) be the second derivative of 0 + 6*d**3 - 4*d**2 - s*d**4 + 2*d - 5/4*d**5. Solve t(k) = 0 for k.
-2, 2/5
Let a(b) be the first derivative of -2/3*b**2 - 17 + 5/6*b**4 + 11/18*b**3 + 1/6*b. Let a(j) = 0. Calculate j.
-1, 1/5, 1/4
Let h(s) be the second derivative of -9/5*s**6 + 8*s**3 - 22/5*s**5 + 20/21*s**7 - 4*s + 23/6*s**4 + 0 + 4*s**2. Let h(g) = 0. Calculate g.
-1, -2/5, -1/4, 1, 2
Suppose -5*b + 5*q - 10 = -25, 0 = -5*b - 5*q - 15. Determine f so that 0 - 4*f**3 + 8/5*f**2 + b*f = 0.
0, 2/5
Suppose 4*o + 39 = 17*o. Determine z, given that 6/5*z + 2/15*z**o + 8/15 + 4/5*z**2 = 0.
-4, -1
Let 0 + 0*f + 0*f**2 + 0*f**3 - 3/4*f**4 = 0. What is f?
0
Let y = 172 - 514/3. Let j be 50/6 - 4*15/12. Determine l so that y*l**2 + j*l**3 - 10/3*l - 2/3 = 0.
-1, -1/5, 1
Let x = 17478 + -17476. Suppose 38/5*a**4 + 28/5*a**x - 4/5*a - 57/5*a**3 + 0 - 8/5*a**5 = 0. What is a?
0, 1/4, 1/2, 2
Determine r so that 5911 - 3*r**4 - 17*r**2 + 4*r**5 - 3*r - 5911 - 21*r**3 = 0.
-1, -1/4, 0, 3
Let z be 0/(-6 + 2 - -5). Let n(k) be the third derivative of -3*k**2 + z*k + 9/8*k**3 - 9/32*k**4 - 1/480*k**6 + 3/80*k**5 + 0. Solve n(t) = 0.
3
Let a(p) be the first derivative of p**7/840 + p**6/360 - p**5/120 - p**4/24 - 11*p**3/3 - 17. Let q(c) be the third derivative of a(c). Solve q(n) = 0.
-1, 1
Let i(w) = -7*w - 122. Let r be i(-18). Let p(c) be the third derivative of -5*c**2 + 1/735*c**7 + 0*c**r + 0*c**3 + 0*c**5 + 0 + 0*c + 0*c**6. Solve p(x) = 0.
0
Let v(s) be the first derivative of -32*s + 22/3*s**3 - 8/5*s**5 - 13/4*s**4 + 19 + 16*s**2 - 1/6*s**6. Suppose v(t) = 0. Calculate t.
-4, -2, 1
Let k(z) = 2*z. Let u(y) = -2*y**2 + 4*y + 16. Let b(o) = 4*k(o) - u(o). What is h in b(h) = 0?
-4, 2
Factor -1800/13 - 120/13*p - 2/13*p**2.
-2*(p + 30)**2/13
Let d(o) be the third derivative of -o**7/945 - 2*o**6/135 - 2*o**5/45 - 3*o**2. Find q, given that d(q) = 0.
-6, -2, 0
Let h be (-5)/((-15)/6)*1. Suppose -15*b - 3*b**3 - 12*b**2 + b + h*b = 0. What is b?
-2, 0
Find b, given that 1/7*b**2 - 6/7*b - 1 = 0.
-1, 7
Let k(h) be the third derivative of h**5/12 - 175*h**4/4 + 18375*h**3/2 - 199*h**2. Factor k(g).
5*(g - 105)**2
Suppose 0 = -19*c - 1453 + 1529. Let m(v) be the third derivative of 1/60*v**6 + 7*v**2 - 1/30*v**5 + 0 - 1/6*v**c + 0*v + 0*v**3. Factor m(r).
2*r*(r - 2)*(r + 1)
Let p be 2 + 0 + 6/51 + (-4)/34. Factor 2/13*n + 4/13 - 2/13*n**p.
-2*(n - 2)*(n + 1)/13
Let g(p) be the third derivative of p**6/240 - p**5/8 - 828*p**2. Factor g(j).
j**2*(j - 15)/2
Let a(s) be the second derivative of 0*s**2 + 0 + 8/7*s**7 - 17*s + 0*s**3 + 3/20*s**5 + 4/5*s**6 + 0*s**4. Solve a(c) = 0 for c.
-1/4, 0
Let z(b) be the third derivative of 0*b - 2/27*b**4 + 2/27*b**3 + 0 + 6*b**2 + 1/108*b**5 + 7/1080*b**6. Determine s, given that z(s) = 0.
-2, 2/7, 1
Let u(x) be the third derivative of -x**5/180 - x**4/9 - 5*x**3/6 + x**2 - 65. Factor u(y).
-(y + 3)*(y + 5)/3
Let p = -1 - 0. Let q be 2 + 3*p + (-39)/(-21). Factor -q*s**2 + 0*s + 2/7*s**3 + 8/7.
2*(s - 2)**2*(s + 1)/7
Let g(v) be the first derivative of 2*v**3/9 - 100*v**2 + 15000*v + 86. Find s, given that g(s) = 0.
150
Let k(v) be the second derivative of 0*v**2 - v**4 + 0 + 10*v + 3/10*v**6 + 0*v**5 + 1/14*v**7 + 0*v**3. Suppose k(r) = 0. What is r?
-2, 0, 1
Let y(q) be the third derivative of -q**6/40 - 3*q**5/4 - 27*q**4/4 - 20*q**3 - 148*q**2 - 3*q. Let y(n) = 0. Calculate n.
-10, -4, -1
Let n(r) be the first derivative of 1/3*r**3 - 1/5*r**5 - 1/2*r**2 + 1/4*r**4 + 0*r + 2. Solve n(k) = 0 for k.
-1, 0, 1
Let z(m) be the second derivative of -m**6/75 + m**5/10 - m**4/5 - 4*m**3/15 + 8*m**2/5 + 32*m. Find g, given that z(g) = 0.
-1, 2
Let l(q) be the second derivative of q**6/10 + 9*q**5/10 - 16*q**3 + 347*q. Factor l(s).
3*s*(s - 2)*(s + 4)**2
Let h(d) be the second derivative of d**7/504 + 5*d**6/144 + d**5/4 + d**4/3 - 8*d. Let i(b) be the third derivative of h(b). Find z such that i(z) = 0.
-3, -2
Let f(c) be the second derivative of -1/10*c**5 + 0*c**2 + 7*c + 1/6*c**4 + 0 + 2/3*c**3. Factor f(w).
-2*w*(w - 2)*(w + 1)
Let z = -34739/12 - -2895. Let c(i) be the second derivative of -z*i**4 + 5/24*i**3 + 1/80*i**5 + 5*i + 0 - 1/4*i**2. Suppose c(s) = 0. Calculate s.
1, 2
Let j(a) = -a**3 + 12*a**2 - 19*a - 10. Let f be j(10). Suppose f = 52*l - 42*l. Factor 3/4*n**2 + l + 1/2*n + 1/4*n**3.
n*(n + 1)*(n + 2)/4
Suppose -4*r + 2*a = -2, -4*r + a + 3*a + 4 = 0. Let m be -1*((r - 1) + -1). Find c such that -4*c + c**2 - 2*c**2 + 2*c**2 - 3*c**2 - m = 0.
-1
Factor -2*a**2 + 7*a**2 - 6*a**2 + 10*a + 11.
-(a - 11)*(a + 1)
Let v be -8 + 0/(-3) + 4. Let i be v/(0 + 6*-1). Factor 0*x + 2/3*x**2 + i*x**3 + 0.
2*x**2*(x + 1)/3
Let o = -22 - -51. Let y be -2 - 0/3 - -4. Solve y*u**2 + 21*u**3 + o*u**3 - 49*u**3 - u - 2 = 0 for u.
-2, -1, 1
Let l = -12 + 26. Let x = -8 + l. Suppose -9*j**2 - j - x - 11*j - 1 + 4 = 0. Calculate j.
-1, -1/3
Let f be (6/2)/(1 + 1 + -1). Factor 13*b**4 - 10*b**4 - f*b - 3*b**2 + 9*b**3 - 6*b**3.
3*b*(b - 1)*(b + 1)**2
Let j(w) = -w**3 + w**2 + w - 7. Let q(y) = -4*y**3 + 4*y**2 + 4*y - 20. Let h be 2*(-4)/8 + 4. Let v(x) = h*q(x) - 8*j(x). Factor v(r).
-4*(r - 1)**2*(r + 1)
Suppose 0 = -3*v - v + 24. Let x be (-8 - -3)*(v/(-25))/2. Determine u, given that -1/5*u**4 - x*u**3 + 0 - 1/5*u - 3/5*u**2 = 0.
-1, 0
Let k(f) = 5*f**2 - 12*f - 101. Let b(d) = 70*d**2 - 170*d - 1415. Let z(v) = -4*b(v) + 55*k(v). Let z(o) = 0. Calculate o.
-3, 7
What is r in -12 - 1/3*r**2 + 4*r = 0?
6
Factor -o + 0 + 4/3*o**2.
o*(4*o - 3)/3
Let r(d) = 3*d**3 + d**2 + d - 1. Let i be r(1). Suppose 4 + i = 4*p. Factor -12*q - 12 + 2*q**p - 3*q**2 - 2*q**2.
-3*(q + 2)**2
Let n(s) be the second derivative of 7*s**6/540 + 4*s**5/45 + s**4/9 - 2*s**3/3 + 8*s. Let l(i) be the second derivative of n(i). Determine f so that l(f) = 0.
-2, -2/7
Let g(l) = -l**3 - 2*l**2 - l. Let t be g(2). Let s be (1 - 48/45)/(3/t). What is r in 9/5*r**3 - s*r**2 + 0*r + 0 = 0?
0, 2/9
Let w = 1446 + -1444. Factor 0 - 1/2*z**w + 1/2*z.
-z*(z - 1)/2
Let m(a) = -a**3 - 6*a**2 - 2*a - 9. Let c be m(-6). Suppose -c*v**4 + 8*v**4 - 3*v**4 - 3*v - 5*v**4 + 3*v**3 + 3*v**2 = 0. What is v?
-1, 0, 1
Let q(l) be the third derivative of 0*l**4 + 1/150*l**5 - 1/600*l**6 + 0*l - 1/525*l**7 + 0*l**3 + 1/1680*l**8 + 0 - 5*l**2. Factor q(w).
w**2*(w - 2)*(w - 1)*(w + 1)/5
Let t(d) be the first derivative of 0*d + 3 + 0*d**4 + 1/120*d**5 - 1/12*d**3 - 3/2*d**2. Let q(b) be the second derivative of t(b). Factor q(s).
(s - 1)*(s + 1)/2
Let z be -4*6/(-24)*(-1 - -1). Let h(a) be the first derivative of 0*a**2 + 1/2*a**4 + z*a - 6 - 4/3*a**3 + 6/5*a**5. Determine t so that h(t) = 0.
-1, 0, 2/3
Let r(g) = -24*g**4 + 33*g**3 + 105*g**2 + 48*g + 33. Let o(p) = 3*p**4 - 4*p**3 - 13*p**2 - 6*p - 4. Let a(x) = 33*o(x) + 4*r(x). Factor a(l).
3*l*(l - 2)*(l + 1)**2
Let s(v) = 2*v**2 + 6*v - 106. Let b be s(6). Let y(j) be the first derivative of 3/5*j + 9/10*j**b - 4 + 3/5*j**3 + 3/20*j**4. Factor y(x).
3*(x +