4 - c**6/180 + c**5/60 + c**2. Let v(i) be the third derivative of r(i). Factor v(g).
2*(g - 2)*(g - 1)**2
Let v(b) be the first derivative of 0*b**2 + 0*b - 2/3*b**3 + 1/3*b**6 + 2 - 1/2*b**4 + 2/5*b**5. Suppose v(g) = 0. Calculate g.
-1, 0, 1
Let l(p) be the first derivative of 2/5*p - 3 - 2/5*p**2 + 2/15*p**3. Determine x so that l(x) = 0.
1
Suppose 0 - k**4 + 0*k - 1/3*k**3 + 2/3*k**2 = 0. Calculate k.
-1, 0, 2/3
Let u be 1 - 3/(-9)*3. Let o be -1*u/4*-1. Factor -1/2*l**2 + 1/2*l**4 + 0 + o*l - 1/2*l**3.
l*(l - 1)**2*(l + 1)/2
Let j = 7 + -5. Suppose 0 = j*t - 2 - 4. Factor n**4 - 3*n**4 + t*n**4.
n**4
Let o(r) be the first derivative of 0*r**4 - 6 + 1/10*r**6 + 0*r**2 + 0*r**5 + 0*r**3 + 0*r. Find b such that o(b) = 0.
0
Let u(v) be the first derivative of 3*v**5/25 + 3*v**4/20 + 2. Find n such that u(n) = 0.
-1, 0
Let c(p) = 6*p - 5. Let j(a) = -5*a + 4. Let h(i) = -4*c(i) - 5*j(i). Let n(v) = 7*v**2 + 11*v + 2. Let z(f) = 2*h(f) - n(f). Factor z(u).
-(u + 1)*(7*u + 2)
Let c(o) be the third derivative of 1/210*o**7 + 0 + 0*o - 1/60*o**6 + 1/60*o**5 + 0*o**4 + o**2 + 0*o**3. Suppose c(z) = 0. What is z?
0, 1
Let h = -42992/7 + 6127. Let p = h - -15. Factor -p - 32/7*l**2 + 16/7*l.
-2*(4*l - 1)**2/7
Let s(a) = 2*a - 2 - a + 4*a**2 - 3*a**2 - 3. Let f(p) = -p**2 - p + 6. Let d(n) = -5*f(n) - 6*s(n). Let d(l) = 0. What is l?
-1, 0
Let m(b) be the first derivative of 0*b + 2/35*b**5 + 3/14*b**4 + 2/7*b**3 + 6 + 1/7*b**2. Factor m(f).
2*f*(f + 1)**3/7
Let m(b) be the first derivative of b**6/5 - 58*b**5/25 + 31*b**4/5 + 36*b**3/5 - 13*b**2 - 10*b + 26. Solve m(s) = 0 for s.
-1, -1/3, 1, 5
Let m(t) = -5*t**2 - 6*t + 11. Let y(z) = z**2 + z - 2. Let l(q) = 6*m(q) + 33*y(q). Suppose l(i) = 0. What is i?
0, 1
Let m(k) be the second derivative of -k**4/9 - 4*k**3/9 - 2*k**2/3 - k. Suppose m(u) = 0. Calculate u.
-1
Let l(m) = -2*m**2 - 6*m + 38. Let o be l(-6). Factor -4/5*n + 0 - 2/5*n**o.
-2*n*(n + 2)/5
Factor -184*f - 12*f**3 - 2*f**4 + 196*f + 0*f**4 + 10 - 8*f**2.
-2*(f - 1)*(f + 1)**2*(f + 5)
Factor 2/17 + 2/17*f**2 - 4/17*f.
2*(f - 1)**2/17
Let i(a) be the first derivative of a**4/14 + 8*a**3/21 - 11*a**2/7 + 12*a/7 + 18. Factor i(r).
2*(r - 1)**2*(r + 6)/7
Let k(t) be the second derivative of -t**8/6720 + t**7/1512 - t**6/2160 - t**5/360 + t**4/6 - 2*t. Let v(o) be the third derivative of k(o). Factor v(i).
-(i - 1)**2*(3*i + 1)/3
Let r = 45/44 + -3/11. Solve r*g + 0 + 1/4*g**2 = 0 for g.
-3, 0
Suppose -2*o = -7*o + 3*x - 39, 5*o + 55 = -5*x. Let u be (-1)/(0 - (-3)/o). Factor -i**3 - 4*i**2 - i + u*i + 3*i**3.
2*i*(i - 1)**2
Factor -75*i**2 + 3*i**3 + 57*i**2 + 67 + 29.
3*(i - 4)**2*(i + 2)
Let b(h) = -h + 6. Let z be b(6). Let u(v) be the second derivative of -1/105*v**7 + 0 + 1/75*v**6 + 0*v**4 + 0*v**2 + v + 0*v**3 + z*v**5. Factor u(f).
-2*f**4*(f - 1)/5
Let w(f) = -57*f**4 - 42*f**3 + 105*f**2 - 120*f + 81. Let j(g) = 7*g**4 + 5*g**3 - 13*g**2 + 15*g - 10. Let y(u) = -33*j(u) - 4*w(u). What is v in y(v) = 0?
-2, 1
Determine h so that 18 - h**4 + 2*h**2 - 10 - 9 = 0.
-1, 1
Let c be 1461*(4/30)/1. Let g = c + -194. Find p, given that 0 + 2/5*p**3 + 2/5*p - g*p**2 = 0.
0, 1
Let n(j) be the first derivative of -2*j**6/9 - 28*j**5/15 - 6*j**4 - 80*j**3/9 - 16*j**2/3 - 7. Find r, given that n(r) = 0.
-2, -1, 0
Let y(c) be the third derivative of -c**7/11340 + 3*c**4/8 + 8*c**2. Let j(t) be the second derivative of y(t). Factor j(k).
-2*k**2/9
Suppose 0 = i - 3, -4*i - i + 5 = -j. Let s(h) = -3*h**2 + 3. Let l(b) = -b**2 + 1. Let u(w) = j*l(w) - 4*s(w). Determine z, given that u(z) = 0.
-1, 1
Let d = 3 + -1. Let z(b) be the first derivative of 0*b - b**d - 2 - 2/3*b**3. Suppose z(l) = 0. What is l?
-1, 0
Let y(u) be the first derivative of 0*u - 1/12*u**4 + 0*u**3 + 1/30*u**5 - u**2 - 2. Let n(o) be the second derivative of y(o). Suppose n(k) = 0. What is k?
0, 1
Let i = -3 - -5. Suppose i*a + 0*a = 4. Solve -2*o + 0*o + 0*o**2 + 4*o - 2*o**4 - a*o**3 + 2*o**2 = 0.
-1, 0, 1
Suppose 2/3*s**5 + 0*s**3 - 5/3*s**4 - 2/3*s + 5/3*s**2 + 0 = 0. What is s?
-1, 0, 1/2, 1, 2
Let l(q) = -9*q**5 + 3*q**3 - 6. Let g(y) = -17*y**5 - y**4 + 5*y**3 - 11. Let a(t) = 6*g(t) - 11*l(t). Factor a(v).
-3*v**3*(v + 1)**2
Solve -1/6*j + 1/3 - 1/6*j**2 = 0.
-2, 1
Find z such that 0*z + 3*z - 7*z**4 + 9*z**3 + 4*z**4 - z**2 - 8*z**2 = 0.
0, 1
Let z(o) = o**2 + 6*o + 9. Let t be z(-3). Factor -2/9*q**2 - 4/9*q**4 + 0*q + t + 2/3*q**3.
-2*q**2*(q - 1)*(2*q - 1)/9
Let i(f) be the first derivative of 4*f**5/5 - 3*f**4/2 - 2*f**3/3 + 3*f**2 - 2*f + 13. Factor i(s).
2*(s - 1)**2*(s + 1)*(2*s - 1)
Let s(x) be the third derivative of x**5/20 + 5*x**4/4 + 25*x**3/2 - 14*x**2. Factor s(p).
3*(p + 5)**2
Let q(z) be the third derivative of 0 - z**2 + 0*z**3 + 1/420*z**6 - 1/105*z**5 + 1/84*z**4 + 0*z. Determine r, given that q(r) = 0.
0, 1
Let q(j) be the first derivative of -j**4/4 - j**3 - j**2 - 7. Factor q(d).
-d*(d + 1)*(d + 2)
Let i(x) be the second derivative of x**7/3360 + x**6/1440 - x**5/480 - x**4/96 - x**3/3 + 8*x. Let l(w) be the second derivative of i(w). Factor l(m).
(m - 1)*(m + 1)**2/4
Factor -8/15*d - 56/15*d**2 - 98/15*d**3 + 0.
-2*d*(7*d + 2)**2/15
Let p be -2 + (-189)/(-6) + 4. Let v = -33 + p. Factor 0*c**2 - 1/4 + 1/4*c**4 + 1/2*c - v*c**3.
(c - 1)**3*(c + 1)/4
Solve 36*z**2 - z**3 + 4*z**3 + 44*z + 64*z = 0.
-6, 0
Suppose 0 = 7*n - 6*n. Suppose g + 4*h = 2 + 5, n = 4*g + 4*h - 16. Factor 10/7*w**g + 16/7*w**2 + 2/7*w - 4/7.
2*(w + 1)**2*(5*w - 2)/7
Let 16/5*x - 264/5*x**2 + 252/5*x**3 + 32/5 = 0. What is x?
-2/7, 2/3
Suppose 0 = f - 3*f + 4*g - 4, 0 = 5*f + 3*g - 16. Factor -2*l**f + 2/5 + 6/5*l**3 + 2/5*l.
2*(l - 1)**2*(3*l + 1)/5
Let q(f) be the first derivative of -1 - 1/20*f**5 - 1/2*f**2 + f + 1/12*f**4 + 1/6*f**3. Let s(a) be the first derivative of q(a). What is g in s(g) = 0?
-1, 1
Let u(y) be the second derivative of -135*y**7/14 - 15*y**6/2 + 113*y**5/4 + 205*y**4/12 - 80*y**3/3 + 10*y**2 + 26*y. Find p such that u(p) = 0.
-1, 2/9, 1
Suppose 135*f + 1014*f**3 - 12 - 819*f**2 + 19*f + 26*f = 0. What is f?
2/13, 1/2
Let o = 17/24 + -3/8. What is r in 0*r**2 + 0*r + o*r**3 + 0 = 0?
0
Let h(o) = o**2 + 7*o - 10. Let m be h(2). Find r such that -9/4*r**5 - 103/4*r**3 + 89/4*r**2 - m*r + 51/4*r**4 + 1 = 0.
1/3, 1, 2
Let c(j) = 8*j**4 - 23*j**3 + 4*j**2 + 23*j - 13. Let q(m) = -m**4 + m**3 + m**2 - m - 1. Let o(d) = -c(d) + q(d). Solve o(k) = 0 for k.
-1, 2/3, 1, 2
Suppose 27 = -2*j + 31. Factor 6/7*f**j + 2/7 + 2/7*f**3 + 6/7*f.
2*(f + 1)**3/7
Let i(n) be the second derivative of -7*n**6/150 + 4*n**5/25 - 11*n**4/60 + n**3/15 - 3*n. Solve i(u) = 0 for u.
0, 2/7, 1
Let l be (15/6)/((-1)/(-2)). Let c = l + -5. Solve c*s + 0 - 2/11*s**2 - 2/11*s**3 = 0.
-1, 0
Let c = 1241/7 - 177. Suppose -2/7*i**2 - c - 4/7*i = 0. What is i?
-1
Let p be -3 + (-2 - -3) + 2. Let o = -144/5 + 30. Suppose p*x + 6/5*x**4 + 2/5*x**5 + 0 + o*x**3 + 2/5*x**2 = 0. Calculate x.
-1, 0
Let u = -4 + 6. Let q = -697 - -3501/5. Let -588/5*b**u - q - 686/5*b**3 - 168/5*b = 0. Calculate b.
-2/7
Let u(y) = -3*y**3 + 6*y**2 - 3*y + 3. Let n(b) = 6*b**3 - 12*b**2 + 6*b - 7. Let h(p) = 3*n(p) + 7*u(p). Suppose h(i) = 0. Calculate i.
0, 1
Let o = 8306/3465 + 2/693. Let 81/5 + 108/5*z + 54/5*z**2 + o*z**3 + 1/5*z**4 = 0. What is z?
-3
Let t = -55 + 55. Let i(r) be the second derivative of -1/36*r**4 + 0 + t*r**2 + 0*r**3 - 3*r. Factor i(g).
-g**2/3
Factor -70/9*j**2 - 44/9*j - 8/9 - 25/9*j**3.
-(j + 2)*(5*j + 2)**2/9
Find o, given that -4*o - 5*o**4 + 2*o**4 - 6*o**2 + 5*o**4 = 0.
-1, 0, 2
Suppose -2 = 2*q, -3*q + 13 = -5*j + 41. Suppose 4*d - 4*s + j*s = 16, 4*d + 5*s = 16. Find l such that l - 18*l**2 - 15*l**3 - d*l - 4*l**4 + 2*l**2 + 2 = 0.
-2, -1, 1/4
Let l(q) be the first derivative of -q**3/3 + 8*q**2 - 12*q - 9. Let j be l(15). Suppose 0 - 2/7*v**2 + 2/7*v**j + 0*v = 0. What is v?
0, 1
Let w(t) = -t + 1. Let l be 3/24*4*2. Let i be w(l). Factor 0 + 2/7*s**3 + 0*s - 4/7*s**4 + i*s**2 + 2/7*s**5.
2*s**3*(s - 1)**2/7
Suppose 0 - 2/17*n**2 + 2/17*n**4 + 0*n + 0*n**3 = 0. Calculate n.
-1, 0, 1
Let b(z) be the first derivative of z**4/12 + 2*z**3/3 + 3*z**2/2 + 4*z/3 + 27. Find o, given that b(o) = 0.
-4, -1
Let o be (2/10)/((-8)/10). Let q = 11/12 + o. Factor q*p**2 + 0*p + 0 + 4/3*p*