(w) = -10*w**2 - 1 + 0 + 4. Let n(a) = 7*j(a) - 2*p(a). Find u, given that n(u) = 0.
-1, 1
Find z such that 0*z**2 + 0 + 14/5*z**5 + 2*z**4 + 0*z - 4/5*z**3 = 0.
-1, 0, 2/7
Let q = 16 + 3. Solve 196*y**3 - 26 - 25 - 504*y**2 + 240*y + q = 0 for y.
2/7, 2
Let p(q) be the first derivative of 2*q + 4/3*q**3 - 3*q**2 + 1. Solve p(r) = 0.
1/2, 1
Let p be ((-6)/4)/(-3)*10. Suppose 28 = 4*d + 4*z, -z = -0*z - p. Solve -6/7*x**d + 2/7*x**4 - 8/7*x + 8/7 + 4/7*x**3 = 0.
-2, 1
Suppose i = -i. Let z be 4 - 10 - (-80)/12. Let 0 + i*d**2 + 0*d - z*d**3 = 0. Calculate d.
0
Let p(s) be the first derivative of 7/4*s**4 - 1/3*s**3 - 1 - 14/5*s**5 + 0*s + 0*s**2 + 4/3*s**6. Find j, given that p(j) = 0.
0, 1/4, 1/2, 1
Let t = -14/31 - -318/155. Factor -t*z**2 + 2/5 + 6/5*z.
-2*(z - 1)*(4*z + 1)/5
Let f be 10/16*-2*(-6 - -2). Let i(w) be the third derivative of -w**2 + 0 - 1/105*w**7 + 0*w + 1/30*w**f + 0*w**3 - 1/12*w**4 + 1/60*w**6. Factor i(l).
-2*l*(l - 1)**2*(l + 1)
Let w(n) = n + 1. Let o be w(3). Factor k**5 + 0*k + 0*k**3 + 1/2*k**o + 0*k**2 + 0.
k**4*(2*k + 1)/2
Let p(a) be the third derivative of 1/540*a**6 + 3*a**2 + 1/3*a**3 - 1/180*a**5 + 0*a**4 + 0*a + 0. Let v(n) be the first derivative of p(n). Factor v(c).
2*c*(c - 1)/3
Let a(o) be the second derivative of -o**6/120 + 5*o**3/6 + 2*o. Let s(x) be the second derivative of a(x). Let s(b) = 0. Calculate b.
0
Suppose -93 + 78 = -5*g. Let c(i) be the second derivative of -1/10*i**4 + 0 - 2/15*i**g + 3*i + 1/5*i**2. Find h such that c(h) = 0.
-1, 1/3
Let t(m) = 12*m**3 + 12*m**2 - 8*m - 4. Let j(c) = -c**2 + c + 1. Let o(d) = -4*j(d) - t(d). Factor o(p).
-4*p*(p + 1)*(3*p - 1)
Let d(v) be the second derivative of v**5/5 - 2*v**3/3 + 27*v. Let d(y) = 0. What is y?
-1, 0, 1
Suppose -4*n - 12 = -0*o + 5*o, -12 = o - 4*n. Let k be -22*o/24 - 3. Factor 0*u**2 + k*u - 2/3*u**3 + 0.
-2*u*(u - 1)*(u + 1)/3
Let a(n) be the third derivative of n**6/120 + n**5/60 + n**3/2 + n**2. Let r(k) be the first derivative of a(k). Factor r(m).
m*(3*m + 2)
Let g(v) = 2*v**2 - 6*v. Let x = 12 - 9. Let f be g(x). Factor -2/3*p**3 - 1/3*p**4 + f*p - 1/3*p**2 + 0.
-p**2*(p + 1)**2/3
Suppose -2*a = 8 - 2. Let n be 0/(a - (-3 - -2)). Factor n - 2/3*p + 2/3*p**2.
2*p*(p - 1)/3
Suppose n + 3*u + 36 = 0, -u = -4*n - 3*u - 114. Let b be 0 + (1 - (-21)/n). Determine s so that 0*s**2 + 0 + 0*s - b*s**3 = 0.
0
Let s(g) be the second derivative of -g**5/20 - 3*g**4/4 - 9*g**3/2 - 27*g**2/2 + 10*g. Find z, given that s(z) = 0.
-3
Let c(u) be the second derivative of u**6/105 - 2*u**5/35 + u**4/14 + 26*u. Solve c(x) = 0 for x.
0, 1, 3
Factor 2/11*l**3 - 2/11*l**5 + 2/11*l**2 - 2/11*l**4 + 0 + 0*l.
-2*l**2*(l - 1)*(l + 1)**2/11
Let q(x) be the third derivative of -1/630*x**7 - 1/20*x**5 - 7/72*x**4 + 5*x**2 - 1/72*x**6 - 1/9*x**3 + 0*x + 0. Factor q(s).
-(s + 1)**3*(s + 2)/3
Let d(r) be the first derivative of -4*r**3/3 - 10*r**2 - 24*r - 12. Factor d(c).
-4*(c + 2)*(c + 3)
Let y(k) be the first derivative of 3*k**5/20 - k**4/8 - k**3/3 + k**2/4 + k/4 + 68. Suppose y(z) = 0. Calculate z.
-1, -1/3, 1
Let l = -627 + 24457/39. Let m = 16/13 + l. Factor -2/3 - 2/3*u**2 + m*u.
-2*(u - 1)**2/3
Let m(y) = -y**3 + 10*y**2 + 11*y - 2. Let n be m(11). Let q = 1 - n. Factor -4/5*x**q + 6/5*x**2 - 2/5*x**4 + 8/5*x - 8/5.
-2*(x - 1)**2*(x + 2)**2/5
Let f(o) be the second derivative of -o + 0 + 1/75*o**6 + 0*o**3 + 0*o**5 + 1/5*o**2 - 1/15*o**4. Suppose f(v) = 0. What is v?
-1, 1
Let a(i) = -7*i**4 + 15*i**3 - 11*i**2 - 3*i - 3. Let l(w) = 13*w**4 - 29*w**3 + 21*w**2 + 5*w + 5. Let q(f) = -5*a(f) - 3*l(f). Factor q(b).
-4*b**2*(b - 2)*(b - 1)
Let u(b) be the third derivative of b**8/420 - 2*b**7/175 + b**6/50 - b**5/75 + 4*b**2. Factor u(v).
4*v**2*(v - 1)**3/5
Let l be 2*((-9)/2 - -6). Let -4/11*r**4 - 14/11*r + 4/11 + 16/11*r**2 + 2/11*r**5 - 4/11*r**l = 0. Calculate r.
-2, 1
Suppose 0 = -57*d + 43*d + 14. Solve d + 2*j - 5/4*j**4 - 7/4*j**3 - 1/4*j**5 + 1/4*j**2 = 0 for j.
-2, -1, 1
Let -1/5*b**2 + 1/5*b**3 - 2/5*b + 0 = 0. What is b?
-1, 0, 2
Let p(d) be the first derivative of 16*d**5/5 + 9*d**4 + 8*d**3 + 2*d**2 - 2. Solve p(i) = 0 for i.
-1, -1/4, 0
Factor 0*q**2 + 0*q + 0 + 0*q**4 + 1/7*q**5 - 1/7*q**3.
q**3*(q - 1)*(q + 1)/7
Suppose u + 4*f + 11 = -2, 7 = u - f. Determine a, given that -4*a**2 - 60*a**4 - 21*a + 111*a**u + 9 - 32*a**2 - 3 = 0.
-2/5, 1/4, 1
Let h(d) be the second derivative of 1/10*d**6 + 3*d + 1/70*d**7 + 1/5*d**4 + 0*d**2 + 0 + 6/25*d**5 + 0*d**3. Factor h(j).
3*j**2*(j + 1)*(j + 2)**2/5
Factor -2/25*l**2 - 6/25 - 2/5*l + 2/25*l**3.
2*(l - 3)*(l + 1)**2/25
Let x(h) be the second derivative of 0 + 1/210*h**7 + 1/60*h**4 - h + 0*h**2 - 1/100*h**5 + 0*h**3 - 1/150*h**6. Factor x(r).
r**2*(r - 1)**2*(r + 1)/5
Let q be 24/(-210)*(-14)/3. Let z(t) be the second derivative of -1/7*t**7 + q*t**6 + 0 + 0*t**3 + 0*t**2 + 4*t + 0*t**4 - 2/5*t**5. Solve z(d) = 0 for d.
0, 2/3, 2
Let f(g) be the first derivative of 0*g - 3/10*g**5 + 3/8*g**4 + 0*g**2 - 1/6*g**3 + 1 + 1/12*g**6. Determine u, given that f(u) = 0.
0, 1
Suppose -9 = -4*m + 3, f + 5*m = 15. Factor 2/9*d**2 - 4/9*d + f.
2*d*(d - 2)/9
Suppose 3*g = 0, 0*g = -4*w - 2*g + 8. Suppose 2*d - d - w = 0, 11 = 5*l - 2*d. Determine f, given that 0 + 0*f - 1/4*f**2 - 1/4*f**l = 0.
-1, 0
Let -8/3*k - 2 - 2/3*k**2 = 0. Calculate k.
-3, -1
Solve -30*i**3 - 2*i - i**2 + 22*i**3 + 12*i**3 + 3*i**4 = 0 for i.
-1, 0, 2/3
Let o(k) be the first derivative of k**8/4200 - k**7/1050 + k**6/900 + k**3 + 10. Let c(a) be the third derivative of o(a). Suppose c(i) = 0. What is i?
0, 1
Let j(q) = 2*q - 5*q - 1 - q + 0*q. Let h be j(-1). Let -1/2*v**h + v + 1/2*v**2 + 0 = 0. What is v?
-1, 0, 2
Let y(n) be the first derivative of 5*n**3/6 + 3*n**2/2 + n/2 + 8. Factor y(z).
(z + 1)*(5*z + 1)/2
Let x be 2/12 + (-4265)/(-150) + -9. Suppose -176*q**2 - 32/5 + 1072/5*q**3 + x*q**5 - 546/5*q**4 + 288/5*q = 0. Calculate q.
2/7, 1, 2
Let l be 4/20 - (-58)/10. Factor l*v**2 - 2*v**2 - 2*v**2.
2*v**2
Let y be 1 + -1 + (0 - -1). Let v = y - -2. Solve 0 - n**4 - 1/3*n**5 - n**v + 0*n - 1/3*n**2 = 0.
-1, 0
Let x be -2*2/4*-3. Suppose 7 = 4*t - 5. What is l in 2*l - 4*l**x + 2*l**3 + 0*l**t = 0?
-1, 0, 1
Let t = 1177/3 - 387. Factor -4*k**4 - 8*k**3 - t*k**2 + 0*k + 0 - 2/3*k**5.
-2*k**2*(k + 2)**3/3
Let l(w) be the third derivative of -1/5*w**5 + 0*w**3 + 0 - 1/10*w**6 + w**2 + 0*w**4 - 1/70*w**7 + 0*w. Factor l(i).
-3*i**2*(i + 2)**2
Let i(j) be the second derivative of -j**4/4 + j**3/2 + 3*j**2 + 21*j. Solve i(x) = 0 for x.
-1, 2
Factor 2/9*w**2 - 4/9*w - 2/3.
2*(w - 3)*(w + 1)/9
Let q(a) be the first derivative of -2 + 1/5*a**2 + 4/5*a - 2/15*a**3. Solve q(g) = 0.
-1, 2
Let t(k) be the first derivative of -k**6/120 + k**5/60 - 3*k**2/2 - 2. Let o(a) be the second derivative of t(a). Let o(j) = 0. Calculate j.
0, 1
Let g(c) = -c**2 - 10*c - 19. Let n be g(-7). Factor 0 + 1/2*v + 1/4*v**4 + 0*v**3 - 3/4*v**n.
v*(v - 1)**2*(v + 2)/4
Factor 2/7*h**3 - 6/7*h + 0*h**2 + 4/7.
2*(h - 1)**2*(h + 2)/7
Suppose c + 5*b - 17 = 0, -12 = -3*c - b - 3. Suppose 3 = l - 0. Find h, given that 0*h**4 + 0*h + 2/7*h**l - 2/7*h**5 + 0*h**c + 0 = 0.
-1, 0, 1
Factor 12*n**4 - 99*n**3 - 14*n - 43*n + 9*n + 216*n**2.
3*n*(n - 4)**2*(4*n - 1)
Let n(s) be the third derivative of 0*s - 3/280*s**7 - 1/448*s**8 + 0*s**4 + 0 + 0*s**6 + 1/20*s**5 - 2*s**2 + 0*s**3. Determine l so that n(l) = 0.
-2, 0, 1
Let o(x) be the first derivative of 0*x**5 - 1/6*x**6 + 0*x - 1/2*x**2 + 0*x**3 + 1/2*x**4 + 1. Factor o(p).
-p*(p - 1)**2*(p + 1)**2
Let g(o) be the second derivative of 2*o + 0*o**4 + 0*o**6 + 1/84*o**7 + 0*o**3 + 0*o**2 + 0 - 1/40*o**5. Factor g(z).
z**3*(z - 1)*(z + 1)/2
Suppose -5*l = 2*h + 18 + 3, 5*h + 2*l = 0. Suppose 0*p + h*p = 5*r + 19, r + 3 = 0. Determine g so that 2/9*g + 2/9*g**3 + 0 - 4/9*g**p = 0.
0, 1
Let x(c) be the third derivative of 1/100*c**6 + 0*c**7 + 0*c + 0*c**4 - 1/840*c**8 + 0*c**3 - 7*c**2 + 0 - 1/75*c**5. Factor x(k).
-2*k**2*(k - 1)**2*(k + 2)/5
Let s be -2 + (-3)/((-39)/32). Let r = 112/39 + s. Determine z so that 14/3*z**2 + 4/3*z + 0 + r*z**3 = 0.
-1, -2/5, 0
Let r(x) be the second derivative of -2*x**4/3 - 7*x**3/3 + 2*x**2 + 8*x. Factor r(d).
-2*(d + 2)*(4*d - 1)
Factor -8*h + 4 - 1 + 3*h**2 + 2*h.
3*(h - 1)**2
