or a(i).
2*i*(i - 1)**2*(i + 1)
Factor 2*k**3 + 6*k**3 + 2*k + k**2 - 14*k - 12*k**4 + 4 + 4*k**5 + 7*k**2.
4*(k - 1)**4*(k + 1)
Let d(q) be the third derivative of -q**8/2240 - q**7/840 + q**6/120 + q**4/24 + 7*q**2. Let n(y) be the second derivative of d(y). Factor n(v).
-3*v*(v - 1)*(v + 2)
Let z(p) be the third derivative of p**9/211680 + p**8/35280 + p**5/60 + p**2. Let s(r) be the third derivative of z(r). Factor s(y).
2*y**2*(y + 2)/7
Let n(l) = -2*l**3 - l**2 - 2*l - 1. Let d be n(-1). Let z be ((-2)/3)/(-5 + 3). Find f such that 1/3*f**d + 1/3*f**5 - z*f**4 + 0 + 0*f - 1/3*f**3 = 0.
-1, 0, 1
Suppose 7*w - 5*w + 3*w = 0. Factor w - 3/5*t**2 + 3/5*t**4 - 3/5*t + 3/5*t**3.
3*t*(t - 1)*(t + 1)**2/5
Let k(j) be the first derivative of -3*j**4/28 - 3*j**3/7 - 3*j**2/7 + 3. Factor k(g).
-3*g*(g + 1)*(g + 2)/7
Let s(t) be the first derivative of t**7/5460 + t**6/2340 + t**3/3 + 8. Let z(k) be the third derivative of s(k). What is c in z(c) = 0?
-1, 0
Let o(c) be the first derivative of -5*c**4/4 - 10*c**3/3 + 18. Factor o(s).
-5*s**2*(s + 2)
Suppose -4*k + 5*x = 4, 8 + 8 = 4*x. Factor 4*y**2 + 6*y - k*y**2 + 3*y**2 - 3*y.
3*y*(y + 1)
Let x be (0/(-2))/(10 - 9). Suppose x = -c + l - 4, -16 = 2*c - 4*l - 0*l. Find u such that -3/2*u**5 + c*u + 0 + 3/2*u**3 - 3/2*u**2 + 3/2*u**4 = 0.
-1, 0, 1
Let w = -12 - -15. Determine q, given that 2*q**2 + 3/2*q**4 + 0*q - 4*q**w + 0 = 0.
0, 2/3, 2
Suppose -l**2 - l**2 - 8 + 20*l - 3*l**2 - 7 = 0. What is l?
1, 3
Let a(i) = -i**4 + i - 1. Let r(w) = w**5 - 5*w**4 + 6*w - 6. Let b(o) = -30*a(o) + 5*r(o). Solve b(y) = 0 for y.
-1, 0
Let n = -9 + 11. Factor 3*b**3 - 36*b + 29 - 5 + 16*b**2 - 6*b**3 + 2*b**n.
-3*(b - 2)**3
Let d be 2/5 + 756/(-1040). Let r = -1/13 - d. Determine v, given that 3/4*v**2 + 0 + 1/2*v + r*v**3 = 0.
-2, -1, 0
Suppose 7*t - 22 = 13. Suppose 4*q + 2*i = -0*q + 56, 0 = -t*q - i + 64. Factor 9/2*a**4 + 11*a**2 + 1/2 - q*a**3 - 4*a.
(a - 1)**2*(3*a - 1)**2/2
Let y be (-30)/20 + -2 + (-74)/(-20). Solve -1/5*a - 2/5 + y*a**2 = 0.
-1, 2
Solve -10/3*r - 4*r**5 - 58/3*r**3 - 1/3 - 43/3*r**4 - 12*r**2 = 0 for r.
-1, -1/3, -1/4
Let y(o) be the first derivative of o**3/3 + o**2 + 21. Solve y(q) = 0.
-2, 0
Let y(u) = 4*u**2 + u**3 + 2*u - 2*u**2 - 4*u + u - 2. Let n(c) = c**3 + c**2 - c - 1. Let j(x) = 6*n(x) - 3*y(x). Solve j(s) = 0 for s.
-1, 0, 1
Let t(p) be the first derivative of -p**7/70 + p**6/20 + p**5/20 - p**4/4 - 3*p**2 - 2. Let c(m) be the second derivative of t(m). Determine v so that c(v) = 0.
-1, 0, 1, 2
Let v = -10 - -14. Suppose 0 = -2*m + d + 3, v*m = d + 7. What is y in -y + 3*y + 4 + 2*y - 6*y - 2*y**m = 0?
-2, 1
Let q(t) = 6*t. Let a be q(-1). Let z = 9 + a. Factor -i**z - 2 + 3*i**3 + 0 + 2*i**2 - 2*i.
2*(i - 1)*(i + 1)**2
Suppose 100 = 3*k - 14. Factor -6 - m**2 + k - 16*m + 3*m**2.
2*(m - 4)**2
Let n(w) = -w**2. Let o(j) = -3*j + 10 - 10 + 6*j**2. Let k(p) = 3*n(p) + o(p). Factor k(g).
3*g*(g - 1)
Let l be 6 + -8 - -6 - 68/20. Factor -l*k - 3/5*k**2 + 6/5.
-3*(k - 1)*(k + 2)/5
Let u be (1/3)/(788/96 - 8). Factor 8/5*i + u + 2/5*i**2.
2*(i + 2)**2/5
Let q = 120 - 116. Let j(v) be the third derivative of 0*v**3 + 0 - v**2 + 1/5*v**7 + 0*v - 2/21*v**q + 34/105*v**5 - 13/30*v**6. Factor j(g).
2*g*(3*g - 2)*(7*g - 2)**2/7
Let h(s) be the third derivative of -s**5/480 - s**4/192 + 3*s**2. Factor h(b).
-b*(b + 1)/8
Let h(w) be the second derivative of w + 0*w**2 - 1/6*w**3 - 1/24*w**4 + 0. Determine i so that h(i) = 0.
-2, 0
Let h(c) = -c**3 + 6*c**2 + c + 6. Suppose -4 = -4*a + 2*a. Let u(k) = -4 + k**a - 2*k**2 + 3. Let m(f) = h(f) + 6*u(f). Suppose m(b) = 0. Calculate b.
-1, 0, 1
Let x be 8/(-10)*(-30)/36. Let l(k) be the first derivative of x*k**3 - 1 - k**2 + 0*k. Determine b, given that l(b) = 0.
0, 1
Let u = 2331/5 + -465. Factor -6/5*b**4 + 4/5*b**3 + 2/5 - u*b + 2/5*b**5 + 4/5*b**2.
2*(b - 1)**4*(b + 1)/5
Let d be (-44)/(-10) + (-8 - -10 - 6). Find b such that -6/5*b**3 - d*b**4 - 6/5*b**2 + 0 - 2/5*b = 0.
-1, 0
Let w be 165/44*(-8)/(-3). Let x be w/20 - 2/4. Find k such that 0*k**2 + 0 + x*k - 1/4*k**3 = 0.
0
Suppose 0 + 0*n**2 - 1/2*n**4 + 2*n - 3/2*n**3 = 0. Calculate n.
-2, 0, 1
Let v = 118/35 + -14/5. Suppose 2*b + b + c - 13 = 0, c - 1 = 0. Factor 8/7*s**2 - 8/7*s - v*s**b - 2/7*s**5 + 6/7*s**3 + 0.
-2*s*(s - 1)**2*(s + 2)**2/7
Factor -6*i**2 + 3*i**4 + 3*i + 5*i**2 - 3*i**3 - 2*i**2.
3*i*(i - 1)**2*(i + 1)
Let a = -754/3 + 252. Solve -2*h**2 + 0 + a*h - 2/3*h**4 + 2*h**3 = 0 for h.
0, 1
Let f(h) = h**2 - 16*h + 18. Let u be f(15). Find v, given that 0 + 1/2*v**u - 1/2*v**4 + 0*v + 1/2*v**2 - 1/2*v**5 = 0.
-1, 0, 1
Let c(q) = 2*q**4 - 4*q**3 - 2*q**2 + 4*q. Let v(w) be the second derivative of -w**5/20 + w**3/6 + 6*w. Let d(t) = -c(t) + 6*v(t). Factor d(f).
-2*f*(f - 1)*(f + 1)**2
Let s(f) be the first derivative of -f**6/4 + 3*f**4/2 + f**3 - 9*f**2/4 - 3*f + 14. Suppose s(x) = 0. Calculate x.
-1, 1, 2
Let -5*g**4 - 35*g - 34*g**2 + 3*g**2 + 0*g**2 - 44*g**2 - 45*g**3 = 0. Calculate g.
-7, -1, 0
Let s(b) be the second derivative of -b**4/72 - b**3/36 + 8*b. Let s(p) = 0. Calculate p.
-1, 0
Let k(i) = i**5 + i**4 - i**3 - i**2 - 1. Let n(t) = -4*t**5 - 7*t**4 + 4*t**3 + 7*t**2 + 5. Let j(f) = -5*k(f) - n(f). Suppose j(y) = 0. What is y?
-1, 0, 1, 2
Let v(j) be the first derivative of -4*j**3/21 - 6*j**2/7 + 13. Factor v(f).
-4*f*(f + 3)/7
Let l(k) = 14*k**2 - 14*k + 2. Let i(f) = -27*f**2 + 27*f - 3. Let n(g) = -2*i(g) - 5*l(g). What is b in n(b) = 0?
1/2
Let g(i) be the second derivative of -i**6/720 + i**5/60 - i**4/12 + i**3/3 + 3*i. Let a(c) be the second derivative of g(c). Factor a(k).
-(k - 2)**2/2
Suppose 2*t = 5*t - t. Factor 4/7*l + t + 2/7*l**2.
2*l*(l + 2)/7
Suppose -5*o = 2*o - 28. Suppose 1/3*p**5 + 0*p**o + 0*p**3 + 0 + 0*p + 0*p**2 = 0. Calculate p.
0
Let h(o) be the second derivative of -5*o**4/36 + 20*o**3/9 - 40*o**2/3 + 9*o. Find z such that h(z) = 0.
4
Let l(z) be the third derivative of z**6/360 - z**5/60 + z**4/24 - z**3/18 + 29*z**2. Find g such that l(g) = 0.
1
Let w(c) be the third derivative of 27*c**7/280 + 3*c**6/32 - 97*c**5/120 + 19*c**4/24 - c**3/3 - 20*c**2. Factor w(g).
(g - 1)*(g + 2)*(9*g - 2)**2/4
Let r(a) = a**2 - 9*a + 16. Let v be (-2 + 6)*28/16. Let k be r(v). Find o such that 2/3*o**k + 4*o + 6 = 0.
-3
Determine x so that 0 - 1/4*x**4 + 0*x**2 - 1/2*x**3 + 0*x = 0.
-2, 0
Let s(n) = 3*n**2 - 2*n + 2. Let d(a) = a**2 - 4*a + 2. Let y be d(5). Let x(f) = -9*f**2 + 7*f - 7. Let t(u) = y*s(u) + 2*x(u). Solve t(q) = 0.
0
Let j be (-2)/(-10) + 9/5. Factor 0*u**2 - 5*u**2 - u**5 + 3*u**2 + j*u**4 + u.
-u*(u - 1)**3*(u + 1)
Let t(o) be the third derivative of o**6/90 - o**5/30 - o**4/12 + 2*o**3/9 + 3*o**2. Factor t(j).
2*(j - 2)*(j + 1)*(2*j - 1)/3
Let n(m) = -m**2 - 17*m - 12. Let a be n(-16). Let c(u) be the third derivative of 0*u**3 + 1/240*u**5 - 2*u**2 + 0*u**a + 0 + 0*u + 1/480*u**6. Factor c(i).
i**2*(i + 1)/4
Let d(o) be the first derivative of 4*o**3/3 - 6*o**2 + 8*o + 5. Factor d(n).
4*(n - 2)*(n - 1)
Let y(d) be the third derivative of d**6/280 - 3*d**5/140 + d**4/28 - 9*d**2. Factor y(w).
3*w*(w - 2)*(w - 1)/7
Let y = 1163/5 - 232. Find f, given that y*f + 0*f**2 - 3/5*f**3 + 0 = 0.
-1, 0, 1
Let x(g) be the second derivative of -g**5/100 - g**4/20 - g**3/10 - g**2/10 - 3*g. Factor x(c).
-(c + 1)**3/5
Let i(g) = -g**3 + 2*g**2 - 1. Let u be i(-1). Factor 11*r**2 + u*r**4 + 7*r - r**2 - 3*r + 8*r**3.
2*r*(r + 1)**2*(r + 2)
Suppose 4*p + 84 = -3*w + 7*w, -w + 4*p = -12. Let z be (-8)/6*w/(-16). Factor -1/2*h + 0 + 1/4*h**4 - 1/4*h**z + 1/2*h**3.
h*(h - 1)*(h + 1)*(h + 2)/4
Let t be 28/140 - (-32)/15. Find x such that -t*x**3 - 2/3*x**4 - 2/3*x + 0 - 7/3*x**2 = 0.
-2, -1, -1/2, 0
Let k(t) = t - 9. Let c = 14 + -3. Let a be k(c). Let 68/3*i**2 + a*i**4 - 56/3*i + 16/3 - 34/3*i**3 = 0. Calculate i.
2/3, 1, 2
Factor 1/5*r**2 + 64/5 + 16/5*r.
(r + 8)**2/5
Let d(g) be the second derivative of -g**6/6 - g**5/4 + 5*g**4/12 + 5*g**3/6 - 24*g. Let d(w) = 0. What is w?
-1, 0, 1
Let y = 85087/79 - 1077. Let c = y + 221/316. Find f such that 1/2*f**3 - 1/4 + 1/4*f**5 - 1/2*f**2 + 3/4*f**4 - c*f = 0.
-1, 1
Let b = -605/2 - -303. Factor -b*f - 1 + 1/2*f**2.
(f - 2)*(f + 1)/2
Let z be 2*-4*(-4)/16. Determine q so that 1/4 + 1/4*q**z -