 the third derivative of i(k). Factor a(m).
2*m*(m - 1)*(m + 1)/7
Let c(t) be the third derivative of -t**6/240 + t**5/30 - t**4/12 + 4*t**2. Let c(a) = 0. What is a?
0, 2
Let x(i) be the second derivative of i**5/20 - i**4/3 + i**3/2 + i. Let s be x(3). Let 0*t**4 + s - 2/5*t**5 + 6/5*t**3 - 4/5*t**2 + 0*t = 0. Calculate t.
-2, 0, 1
Let n = -42/11 - -305/77. What is d in n*d**3 + 3/7*d**2 + 2/7*d + 0 = 0?
-2, -1, 0
Suppose 10 + 6 = -8*b. Let w be 2*1/((-1)/b). Suppose -64/5*f + 48/5*f**2 + 2/5*f**w + 32/5 - 16/5*f**3 = 0. Calculate f.
2
Let c(y) = 6*y**2 + 18*y + 20. Let k(a) = -5*a**2 - 18*a - 19. Let o(u) = -3*c(u) - 4*k(u). Factor o(g).
2*(g + 1)*(g + 8)
Let k = -130/21 - -48/7. Factor -k*r + 0 - 2/3*r**3 - 4/3*r**2.
-2*r*(r + 1)**2/3
Let d(s) be the third derivative of -s**5/180 + s**4/24 + 28*s**2. Factor d(c).
-c*(c - 3)/3
Factor 24*j**2 - 18*j**3 - 6*j**4 + 12*j**2 - 24*j + 9*j**4.
3*j*(j - 2)**3
Let v(k) be the third derivative of 1/80*k**6 + 1/672*k**8 + 1/140*k**7 + 1/120*k**5 + 0 + 0*k**3 + 0*k**4 - k**2 + 0*k. Solve v(j) = 0 for j.
-1, 0
Let m be (-38)/(-7) + (0 - -3) + -5. Let a be (-2 + 6)*(-2)/(-28). Factor 26/7*d**2 + m*d + a*d**4 + 12/7*d**3 + 8/7.
2*(d + 1)**2*(d + 2)**2/7
Suppose -2/5*z**4 - 6/5*z**3 + 2/5*z**2 + 2/5*z + 4/5*z**5 + 0 = 0. Calculate z.
-1, -1/2, 0, 1
Let x = -162134/135 + 1201. Let l(h) be the third derivative of -1/945*h**7 + 0*h - 3*h**2 - 1/180*h**6 + 0 + 0*h**4 - x*h**5 + 0*h**3. Factor l(g).
-2*g**2*(g + 1)*(g + 2)/9
Suppose 3*k**4 + 0*k**2 + 0 + 0*k**3 - 1/4*k**5 + 0*k = 0. What is k?
0, 12
Let m be (-2)/(-3)*(3 - 0). Factor -4*u - 2*u**3 + 2*u**2 + u + 2*u**m + u.
-2*u*(u - 1)**2
Find c such that -1/5*c**3 - 1/5*c + 2/5*c**2 + 0 = 0.
0, 1
Let t(a) = 2*a**3 + a**2 - a. Let l be t(-3). Let u be -1 + -1 - l/15. Factor 6/5*i**3 - 2/5*i + 0 - u*i**2.
2*i*(i - 1)*(3*i + 1)/5
Let w(a) be the second derivative of -a**5/40 + 7*a**3/12 - 3*a**2/2 + 7*a. Factor w(u).
-(u - 2)*(u - 1)*(u + 3)/2
Find g such that -5*g**5 + 2*g**5 - g**3 + 3*g**5 + g**5 = 0.
-1, 0, 1
Let m(b) = -b**5 - b**4 + b**3 + b. Let n(h) = -14*h**5 - 10*h**4 + 16*h**3 - 4*h**2 + 10*h + 2. Suppose -3*p + 60 = 2*p. Let l(i) = p*m(i) - n(i). Factor l(a).
2*(a - 1)**3*(a + 1)**2
Let z(j) be the first derivative of -j**4/4 - j**3 - 5*j**2/2 - 6*j - 3. Let r be z(-4). Factor r - 5*p**3 + 2*p - 3*p**2 - 30.
-p*(p + 1)*(5*p - 2)
Let w(z) be the second derivative of 1/36*z**4 + 0*z**3 - 2/3*z**2 - 5*z + 0. Factor w(s).
(s - 2)*(s + 2)/3
Let f be -39*((-46)/15 - -3) - 2. Let x(k) be the second derivative of -4*k + 4/3*k**3 + 0 + 11/6*k**4 - 4*k**2 - 3/5*k**6 - f*k**5. Factor x(r).
-2*(r + 1)**2*(3*r - 2)**2
Let n(x) be the second derivative of -x**6/10 - 3*x**5/4 - 9*x**4/4 - 7*x**3/2 - 3*x**2 + 6*x. Factor n(t).
-3*(t + 1)**3*(t + 2)
Let y = 107/350 - 1/50. Factor -y*i**2 - 4/7*i + 6/7.
-2*(i - 1)*(i + 3)/7
Let p = 256/1395 - -6/155. Let 4/9*i**4 + 0*i + 0*i**2 + 0 - 2/9*i**5 - p*i**3 = 0. What is i?
0, 1
Let f(n) = -2*n**2 + 3 + n**3 - 2*n**3 + n**2 + 2*n. Let c be f(-2). Determine x, given that -5*x**3 + 2*x**3 - x**2 + x**4 + 2*x**c + x = 0.
-1, 0, 1
Let k(u) = u + 4. Let o be k(-2). Let -3*h**4 + o*h - 2/3*h**3 + 8/3*h**2 + 1/3 - 4/3*h**5 = 0. What is h?
-1, -1/4, 1
Let w(s) be the first derivative of 3 + 1/120*s**5 + 1/3*s**3 - 1/36*s**4 + 0*s + 0*s**2 - 1/1080*s**6. Let j(l) be the third derivative of w(l). Factor j(b).
-(b - 2)*(b - 1)/3
Let n(i) be the third derivative of -i**6/660 - i**5/165 - i**4/132 - 4*i**2. Let n(q) = 0. What is q?
-1, 0
Let a(s) = -s + 11. Let n be a(13). Let b be 68/20 + n/5. Determine k so that 0 + b*k**2 - 6/5*k = 0.
0, 2/5
Let s(r) = r**3 - 4*r**2 + r + 1. Let n be s(4). Factor 0*d**2 - d**5 - 2*d**4 + 4*d**2 - 2*d - 2*d**4 + 3*d**n.
2*d*(d - 1)**3*(d + 1)
Let s(p) be the first derivative of p**5/5 + p**4/4 - 5*p**3/3 + 3*p**2/2 + 2. Factor s(v).
v*(v - 1)**2*(v + 3)
Suppose h = -2*v + 8, 0*h + 7 = 5*v - 4*h. Suppose x - 15 = -4*x. Factor 0*i**v + 0*i**4 - 8*i + 6*i**x - 2*i**4.
-2*i*(i - 2)**2*(i + 1)
Solve 16/9 + 4/9*i**4 + 4/3*i - 20/9*i**2 - 4/3*i**3 = 0.
-1, 1, 4
Let n(f) be the first derivative of f**5 - 5*f**4/4 - 5*f**3/3 + 5*f**2/2 + 15. Solve n(x) = 0.
-1, 0, 1
Let m be -1 - ((1 - 2) + 2). Let g be 0 - ((-2 - m) + -2). Factor 3*x**3 + 0*x**2 - 2*x**g - x**3.
2*x**2*(x - 1)
Let g = -7 + 4. Let s = g - -15. Factor -12 + s - 2*a + 4*a**2 - 2*a**3.
-2*a*(a - 1)**2
Let g = 11 + -5. Let l(w) be the third derivative of -1/360*w**g - 1/9*w**4 + 2/9*w**3 + w**2 + 0 + 1/36*w**5 + 0*w. Factor l(y).
-(y - 2)**2*(y - 1)/3
Factor 0 + 2/3*l - 2/3*l**3 + 0*l**2.
-2*l*(l - 1)*(l + 1)/3
Let t(l) be the third derivative of l**5/100 + l**4/20 - 4*l**3/5 - 31*l**2. Factor t(d).
3*(d - 2)*(d + 4)/5
Let v = -11 - -13. Find u, given that 0 + 0*u + 2/5*u**v = 0.
0
Let d(w) = 57*w**5 + 96*w**4 + 153*w**3 + 15*w**2. Let c(u) = -7*u**5 - 12*u**4 - 19*u**3 - 2*u**2. Let j(t) = -33*c(t) - 4*d(t). Factor j(i).
3*i**2*(i + 1)**2*(i + 2)
Let 2*d**2 + 8*d + 4 - 4*d**2 - 3*d - 3*d = 0. What is d?
-1, 2
Let y(o) be the second derivative of -o**7/63 - o**6/15 - o**5/15 + o**4/9 + o**3/3 + o**2/3 - o. Find g such that y(g) = 0.
-1, 1
Let f(i) = -36*i**4 + 89*i**3 - 29*i**2 - 31*i - 7. Let q(a) = -12*a**4 + 30*a**3 - 10*a**2 - 10*a - 2. Let z(n) = 2*f(n) - 7*q(n). Factor z(x).
4*x*(x - 2)*(x - 1)*(3*x + 1)
Let b(q) = q**2 - 1. Let a(x) be the second derivative of -x**4/6 + 2*x**3/3 + 7*x**2/2 + x. Let w(s) = -a(s) - 3*b(s). Factor w(v).
-(v + 2)**2
Let i(q) be the second derivative of -q**4/60 + 2*q**3/15 - 3*q**2/10 - q. Let i(t) = 0. What is t?
1, 3
Let w be (12/(-60))/((-38)/(-15)). Let x = w - -161/114. Suppose -1/3*h + 4/3*h**4 + 0 - 1/3*h**5 + x*h**2 - 2*h**3 = 0. Calculate h.
0, 1
Factor 1/11*s**4 - 1/11*s**5 - 3/11 + 2/11*s**2 - 5/11*s + 6/11*s**3.
-(s - 3)*(s - 1)*(s + 1)**3/11
Let v(j) be the third derivative of -j**10/352800 + j**9/70560 - j**8/47040 - j**5/30 + 4*j**2. Let w(q) be the third derivative of v(q). Factor w(d).
-3*d**2*(d - 1)**2/7
Let k = -23 - -26. Let h(f) be the second derivative of 1/5*f**2 + 1/60*f**4 + k*f + 0 - 1/10*f**3. Determine y so that h(y) = 0.
1, 2
Factor -3/4*i + 3/2*i**2 - 3/2 + 3/4*i**3.
3*(i - 1)*(i + 1)*(i + 2)/4
Let u(a) be the first derivative of -3*a**5/5 + 27*a**4/4 - 24*a**3 + 24*a**2 + 11. Factor u(z).
-3*z*(z - 4)**2*(z - 1)
Let s(f) be the third derivative of -f**5/60 + f**4/3 - 8*f**3/3 - 8*f**2. Let s(w) = 0. What is w?
4
Let g = -1 - -14. Let b = g + -10. Suppose 1/2 + 5/4*d + 1/4*d**b + d**2 = 0. Calculate d.
-2, -1
Let i(d) be the third derivative of 0*d**4 - 1/180*d**5 + 0 + 0*d**3 + 0*d**6 - d**2 + 1/630*d**7 + 0*d. Factor i(u).
u**2*(u - 1)*(u + 1)/3
Let u(c) = c + 8. Let b be u(-9). Let k be b - -1 - (-1 - 1). Determine v, given that -2/3 + 1/3*v**k + 1/3*v = 0.
-2, 1
Let n(m) be the third derivative of -m**8/3192 + m**7/665 - m**6/570 - m**5/285 + m**4/76 - m**3/57 + 16*m**2. Factor n(s).
-2*(s - 1)**4*(s + 1)/19
Let x(h) be the second derivative of h**6/30 - 37*h**5/20 + 39*h**4 - 360*h**3 + 864*h**2 - 53*h. Factor x(l).
(l - 12)**3*(l - 1)
Let o(u) = -u**3 + 25*u**2 + 27*u + 11. Let w(p) = -12*p**2 - 14*p - 6. Let x(v) = -2*o(v) - 5*w(v). Factor x(k).
2*(k + 1)*(k + 2)**2
Suppose -i - i = 5*x, 0 = -3*i + x. Let k(a) be the second derivative of 0*a**4 + i*a**2 + 0 + 0*a**3 - 1/20*a**5 + 1/30*a**6 - 2*a. Let k(z) = 0. Calculate z.
0, 1
Factor 1/2*c - 1/2*c**3 + 1/2*c**2 - 1/2.
-(c - 1)**2*(c + 1)/2
Determine h, given that -3732 + 29*h**3 + 3732 + 7*h**2 + 4*h**4 = 0.
-7, -1/4, 0
Determine l so that 0*l + 0 - 2/5*l**2 - 2/5*l**3 = 0.
-1, 0
Let y = -2/133 - -141/532. Let x(o) be the first derivative of 1 - y*o**4 - 2/5*o**5 + 0*o - 1/6*o**6 + 0*o**3 + 0*o**2. Find h such that x(h) = 0.
-1, 0
Let j(g) be the third derivative of g**6/420 + 2*g**5/105 + 5*g**4/84 + 2*g**3/21 - 8*g**2. Let j(s) = 0. What is s?
-2, -1
Let m(c) be the first derivative of -3*c**5/140 + c**4/28 + c**3/7 + 2*c + 1. Let v(q) be the first derivative of m(q). Factor v(r).
-3*r*(r - 2)*(r + 1)/7
Suppose -3*w + 9 = -0*w. Factor -18*r**w + 7*r**2 + 6*r**2 + 12*r**2 - 8*r - r**2.
-2*r*(3*r - 2)**2
Let g(q) = -q**2 - q + 1. Let w(z) = 3*z**4 - 2*z**3 - 9*z**2 - 3*z + 6. Let h = 3 - 2. Let r(x) = h*w(x) - 5*g(x). 