 - 12*i**2 = 0. Calculate i.
0, 3
What is s in 4*s**2 + 4*s + 4/3*s**3 + 4/3 = 0?
-1
Let g(u) be the second derivative of u**6/240 - u**5/160 + 3*u + 15. Factor g(s).
s**3*(s - 1)/8
Let f(u) be the first derivative of -u**6/120 + u**5/30 - u**4/24 - 3*u**2/2 - 4. Let a(i) be the second derivative of f(i). Find d, given that a(d) = 0.
0, 1
Factor -20*n**5 + 3 - 12 + 8*n**3 + 9 + 12*n**4.
-4*n**3*(n - 1)*(5*n + 2)
Let d(i) be the second derivative of -i**8/7840 + i**7/4410 + i**6/840 - i**5/210 - 5*i**4/12 + i. Let a(m) be the third derivative of d(m). Factor a(t).
-2*(t - 1)*(t + 1)*(3*t - 2)/7
Let p = 74 - 122. Let r be p/(-20) - (-4)/(-10). Factor -4 + z**r - z**4 + 4.
-z**2*(z - 1)*(z + 1)
Suppose 0 = 4*o - 7*o - 18. Let y = 8 + o. Determine c so that 18*c**y - 3*c - 8*c**2 - 4 - 3*c = 0.
-2/5, 1
Suppose 40*z = 83 + 117. Suppose -4/7 + 8/7*r**3 + 20/7*r**2 - 16/7*r**4 + 2/7*r - 10/7*r**z = 0. Calculate r.
-1, 2/5, 1
Let q(c) be the third derivative of c**7/630 - c**5/60 + c**4/36 - 5*c**2. Factor q(v).
v*(v - 1)**2*(v + 2)/3
Let z = 62 - 56. Let w(l) be the third derivative of -7/600*l**z + 0*l**3 + 1/60*l**4 + 0*l + 0 - 1/60*l**5 - l**2. Factor w(t).
-t*(t + 1)*(7*t - 2)/5
Let a be (-4 + 3)*(2 + -3). Solve -3*s**3 - 9*s - 7*s**2 - 2*s**2 - 1 - a - 1 = 0.
-1
Factor 4/3*k + 0 + 2/3*k**2.
2*k*(k + 2)/3
Let t = -1 + 4. Suppose 0 = 4*j - t*x - 13, -6*j + 4*j + x + 7 = 0. Let -1/3*n**j - 1/3*n**3 + 0*n**2 + 0 + 0*n = 0. Calculate n.
-1, 0
Let v(r) be the first derivative of -5*r**3/3 + 10*r**2 + 25*r - 17. Factor v(j).
-5*(j - 5)*(j + 1)
Suppose 0 = -o + u - 5, 0 = 3*o - 8*u + 12*u - 20. Let w(a) be the second derivative of 1/6*a**4 - a - 2*a**2 + o + 1/3*a**3. Factor w(l).
2*(l - 1)*(l + 2)
Factor 2*d**2 + 12/7*d + 2/7*d**3 + 0.
2*d*(d + 1)*(d + 6)/7
Factor 2/11*w**2 - 6/11*w + 4/11.
2*(w - 2)*(w - 1)/11
Let s(u) be the second derivative of -u**5/20 - u**4/4 - u**3/2 - u**2/2 - 50*u - 1. Factor s(h).
-(h + 1)**3
Let y(p) be the third derivative of p**6/1080 - p**5/180 - 2*p**3/3 + 2*p**2. Let z(s) be the first derivative of y(s). Factor z(t).
t*(t - 2)/3
Find u such that -306*u**2 + 446*u**2 + 295*u**3 - 7*u + 175*u**4 + 27*u = 0.
-1, -2/5, -2/7, 0
Let p(l) be the second derivative of l**5/20 + l**4/12 - l**3/3 - 10*l. Factor p(f).
f*(f - 1)*(f + 2)
Let t be (0 + -9)/(-3) + 0. Find n, given that 12*n**3 - 12*n**4 - 3*n - t*n**5 - 12*n**2 - 15*n**3 - 15*n**3 = 0.
-1, 0
Suppose -d = -4*d + 6. Let o(g) be the third derivative of -1/30*g**5 - 1/18*g**4 + 0*g - 1/18*g**3 - 1/630*g**7 + 3*g**d + 0 - 1/90*g**6. Factor o(t).
-(t + 1)**4/3
Suppose 2*u - 4 = 4*s, 4*s = 5*u + 2*s - 10. Factor -2*h**u + 3*h + 0*h + 3*h + 4 - 4*h.
-2*(h - 2)*(h + 1)
Let n = -55 + 59. Let r(t) be the third derivative of 2*t**2 + 0*t + 1/96*t**n + 1/12*t**3 + 0 - 1/240*t**5. Factor r(d).
-(d - 2)*(d + 1)/4
Let i(g) be the second derivative of -g**6/36 - g**5/8 - 23*g. Factor i(k).
-5*k**3*(k + 3)/6
Factor -28*f**3 - 17*f**3 - 3*f**5 - 27*f**2 - 22*f**4 + 4*f**4 - 3*f**4.
-3*f**2*(f + 1)*(f + 3)**2
Let b be 14/35 - 56/(-10). Let l be (-88)/(-60) - b/9. Factor 0*v**2 - 2/5*v**4 + l*v - 4/5*v**3 + 2/5.
-2*(v - 1)*(v + 1)**3/5
Let h(j) = -j**3 + 3*j**2 - 4*j + 2. Let b(y) = y**2 - y. Suppose -3*d - 2 = 1. Let l(x) = d*h(x) - b(x). Factor l(s).
(s - 2)*(s - 1)**2
Let z = -73 - -75. Let w(c) be the first derivative of 1/8*c**4 + 2 + 0*c - 1/2*c**z - 1/6*c**3. Let w(a) = 0. Calculate a.
-1, 0, 2
Let f = -1 - -3. Let i(n) be the second derivative of 1/24*n**3 + 0*n**f + 1/48*n**4 + 0 + 2*n - 1/80*n**5 - 1/120*n**6. Factor i(k).
-k*(k - 1)*(k + 1)**2/4
Find v, given that -2/5 + 4/5*v - 2/5*v**2 = 0.
1
Let t(a) be the third derivative of -a**5/240 + a**4/48 + 2*a**2. Factor t(y).
-y*(y - 2)/4
Let r = -7 - -9. Factor 3*q**2 + 4*q**r - q + 4 - 3*q - 6*q**2.
(q - 2)**2
Let g(i) be the first derivative of 1/3*i**4 + 1/3*i**3 + 1/10*i**5 - i + 0*i**2 + 1. Let n(w) be the first derivative of g(w). Factor n(u).
2*u*(u + 1)**2
Let f(r) be the third derivative of -r**10/45360 + r**4/8 + 6*r**2. Let q(j) be the second derivative of f(j). Factor q(p).
-2*p**5/3
Factor -1/3*f**2 - 1 - 4/3*f.
-(f + 1)*(f + 3)/3
Let t(s) be the first derivative of -2*s**3/9 + 10*s**2 - 150*s + 14. What is h in t(h) = 0?
15
Suppose 4 + 25*p**2 + 18*p**2 - 4*p - 42*p**2 = 0. Calculate p.
2
Suppose -k - 20 = -5*j, 3*j - k - 4 = -2*k. Suppose 2*r - 8*r + j + 1 + 2*r**2 = 0. What is r?
1, 2
Let p(i) be the first derivative of 1/12*i**4 - 2*i + 0*i**3 - 1/2*i**2 - 2. Let o(r) be the first derivative of p(r). Solve o(j) = 0 for j.
-1, 1
Let v(b) be the third derivative of b**8/840 + b**7/84 + b**6/30 - b**5/15 - 2*b**4/3 - 2*b**3/3 - b**2. Let g(n) be the first derivative of v(n). Factor g(x).
2*(x - 1)*(x + 2)**3
Let y be (1 + -3)/(49 - 50). Determine g so that 0*g**3 + 9/2 - 3/2*g**4 + 9*g**y - 12*g = 0.
-3, 1
Let o(n) be the second derivative of -n**6/360 + n**5/120 - n**3/3 - 3*n. Let y(g) be the second derivative of o(g). Factor y(r).
-r*(r - 1)
Let n(s) be the second derivative of s**6/10 - 3*s**5/20 - 4*s. Find a, given that n(a) = 0.
0, 1
Solve 6/11*z + 6/11*z**2 + 2/11 + 2/11*z**3 = 0 for z.
-1
Let a = -95/8 - -12. Let i(x) be the first derivative of 1/10*x**5 - a*x**6 + 0*x**3 - 1 + 0*x**4 + 0*x**2 + 0*x. Factor i(v).
-v**4*(3*v - 2)/4
Suppose -2*o = -2*m - m + 9, 0 = -4*o. Find y such that 9/4*y**5 + 0 - m*y**2 + 0*y - 39/4*y**4 + 12*y**3 = 0.
0, 1/3, 2
Let s(f) = f - 9. Let m be s(10). Let c be 0*(m - (2 - 0)). Solve -3 - z**2 + 6 + c - 2 = 0 for z.
-1, 1
Find q such that -1/4 + 5/8*q - 1/2*q**2 + 1/8*q**3 = 0.
1, 2
Factor 4 + 3*f - 2 - 11*f - 2*f**2 + 8.
-2*(f - 1)*(f + 5)
Let y(r) be the first derivative of 0*r + 1/6*r**6 + 0*r**3 - 4 + 0*r**2 - 1/4*r**4 + 0*r**5. Factor y(i).
i**3*(i - 1)*(i + 1)
Let b(h) = 6*h**3 - 2*h**3 + 3*h + 2*h + 4*h**2 - 2*h + 3. Let q(t) = -t**3 - t**2 - t - 1. Let w(m) = b(m) + 3*q(m). Let w(g) = 0. What is g?
-1, 0
Find l, given that 0 - 4/5*l - 1/5*l**3 - 4/5*l**2 = 0.
-2, 0
Let a(g) = g**2 + g - 1. Let z(p) = 35*p**2 + 45*p - 20. Let o(t) = 30*a(t) - z(t). Factor o(f).
-5*(f + 1)*(f + 2)
Let z be 154/(-35)*(-5)/2. Let a = 17 - z. Factor 3*p**5 - a*p**4 + p**2 - 3*p**4 + 3*p**3 - 4*p**2 + 6*p**3.
3*p**2*(p - 1)**3
Let v(j) be the first derivative of -3 + 2/15*j**3 + 1/5*j**2 + 0*j. Factor v(g).
2*g*(g + 1)/5
Let r(x) = x**4 + x**3 - x**2 + x - 1. Let u(t) = -10*t**4 + 15*t**3 - 20*t**2 + 5*t + 5. Let v(g) = 5*r(g) + u(g). Let v(l) = 0. Calculate l.
0, 1, 2
Let x(r) = r**4 + r**3 + r**2 - 1. Let n(o) = -2*o**5 - 10*o**4 - 2*o**3 - 6*o**2 - 6*o + 6. Let k(m) = 2*n(m) + 20*x(m). Solve k(a) = 0.
-1, 1, 2
Let i(x) be the first derivative of 5*x**6/6 + x**5 - 5*x**4/4 - 5*x**3/3 - 14. Determine z, given that i(z) = 0.
-1, 0, 1
Let x(c) = c + 5. Let v be x(-4). Suppose -v + 33 = 4*n. Solve -8*a**2 + n*a**2 - 2*a**3 + 2*a**4 = 0.
0, 1
Factor 1 + 162*v**2 + 23 - 171*v**2 + 30*v.
-3*(v - 4)*(3*v + 2)
Let g(m) be the second derivative of -m**5/12 + 5*m**4/18 - 5*m**3/18 + 9*m. Let g(q) = 0. What is q?
0, 1
Let m(w) be the first derivative of w**8/112 + w**7/35 + w**6/40 - 3*w**2/2 - 2. Let q(n) be the second derivative of m(n). Find z such that q(z) = 0.
-1, 0
Let g(f) = -4*f**2 + 20*f. Let k(o) = -3*o**2 + 13*o. Let l(n) = -5*g(n) + 8*k(n). What is y in l(y) = 0?
0, 1
What is l in 0*l**2 - 2/17*l**5 + 0*l - 6/17*l**4 + 0 - 4/17*l**3 = 0?
-2, -1, 0
Suppose 0 = -3*s + 4*c - 14, -5*c = 1 + 4. Let b(w) = -2*w - 7. Let a be b(s). Factor a*v + v**2 - 5*v.
v**2
Let m(x) be the third derivative of -x**9/15120 - x**8/3360 + x**6/360 + x**5/120 - x**4/12 + 2*x**2. Let v(k) be the second derivative of m(k). Factor v(b).
-(b - 1)*(b + 1)**3
Let f(u) be the third derivative of -u**5/360 - u**4/144 + 7*u**2. Solve f(y) = 0 for y.
-1, 0
Suppose 4*j + 13 = 5*l, 3*j - 4 = l - 0. Suppose j + 1 = 4*c - 2*o, 0 = -4*c - o + 16. Let -3/4*d + 3/4*d**c - 1/4*d**4 + 1/2 - 1/4*d**2 = 0. What is d?
-1, 1, 2
Find j, given that -168/5*j + 882/5*j**2 + 8/5 = 0.
2/21
Let x = -8 - -12. Suppose -x*k = -k. Factor k*v**2 + 2/5 - 2/5*v**4 - 4/5*v**3 + 4/5*v.
-2*(v - 1)*(v + 1)**3/5
Let d = 6 - 9. Let l = 3 + d. Let 13/3*q**4 + 0*q - 13/3*q**3 + 2/3*q**2 + 28/3*q**5 + l = 0. What is q?
-1, 0, 1/4, 2/7
Let l be ((-4)/(-8))