)*(r - 1)/7
Let w(r) be the third derivative of -r**6/360 - r**5/240 + 4*r**3 + 11*r**2. Let y(v) be the first derivative of w(v). Factor y(k).
-k*(2*k + 1)/2
Let x(g) be the first derivative of g**5 - 15*g**4/2 + 25*g**3/3 + 64. Find j such that x(j) = 0.
0, 1, 5
Factor -5/2*s**2 + 35 + 65/2*s.
-5*(s - 14)*(s + 1)/2
Factor m + 0*m**2 + 3*m**3 - 4*m + 3*m**2 + 67*m**4 - 70*m**4.
-3*m*(m - 1)**2*(m + 1)
Let h(i) = 3*i**2 + 3*i - 6. Let j(w) = w**2 + w - 2. Let q(n) = 3*h(n) - 8*j(n). Let r be q(1). Find l, given that r*l**2 + 0*l**2 + 3*l**2 = 0.
0
Suppose 2*u - 11 = 2*i + 5*u, i - 3*u - 17 = 0. Let h be (-9)/(-4) + 1/(-4). Factor 10*l**i - 4 + 6*l - 4*l**h - 2*l**2.
2*(l + 2)*(2*l - 1)
Let m = -164 - -69. Let j = 287/3 + m. Suppose y**2 - 1/3 + j*y = 0. What is y?
-1, 1/3
Find r, given that 1 + 38*r + 22*r**2 + 17 + 0*r**3 - 2*r**3 + 4*r**3 = 0.
-9, -1
Let a(n) be the third derivative of n**5/90 - 4*n**4/9 + 13*n**3/3 - 7*n**2 + 4*n. Find d such that a(d) = 0.
3, 13
Let w(p) be the second derivative of -8/15*p**3 + 0 + 0*p**2 - 16/15*p**4 + 1/25*p**5 - 26*p + 8/75*p**6. Let w(t) = 0. Calculate t.
-2, -1/4, 0, 2
Let q(u) = u - 1. Let p(n) = -8*n + 2 - 8*n**4 + 12*n**2 - 30*n**2 + 5 + 1 - 22*n**3. Let s(w) = -p(w) - 6*q(w). Suppose s(b) = 0. What is b?
-1, 1/4
Find n, given that 68*n**3 - 11181 - 2289*n**2 + 272*n**3 - 24480*n - 5*n**4 - 14739 - 2771*n**2 = 0.
-2, 36
Factor 68/7*p**2 + 66/7 - 19*p - 1/7*p**3.
-(p - 66)*(p - 1)**2/7
Let q be (40/20)/(-3 + 44/12). Solve -2/11*i - 4/11*i**4 + 0*i**q + 4/11*i**2 + 0 + 2/11*i**5 = 0.
-1, 0, 1
Let z(g) = 9*g**2 - 15*g + 3. Let b(f) = 11*f**2 - 16*f + 4. Let t(y) = 3*b(y) - 4*z(y). Factor t(w).
-3*w*(w - 4)
Let j be 3/2 + 5/((-90)/27). Let q(x) be the second derivative of 0*x**3 - 1/15*x**6 + 0*x**2 - 1/10*x**5 + 7*x + j*x**4 + 0. Factor q(s).
-2*s**3*(s + 1)
Let j(r) be the third derivative of r**8/120 - r**7/105 - r**6/60 + r**3/6 + 9*r**2. Let g(x) be the first derivative of j(x). Suppose g(c) = 0. What is c?
-3/7, 0, 1
Let j(c) be the second derivative of -c**6/120 + c**4/24 - 8*c**2 + 20*c. Let a(v) be the first derivative of j(v). Factor a(r).
-r*(r - 1)*(r + 1)
Factor 0 - 6*f**2 - 9/2*f**3 + 3/2*f**5 + 3*f**4 + 6*f.
3*f*(f - 1)**2*(f + 2)**2/2
Let d(s) = s**3 + 4*s**2 - 6*s - 6. Let l be d(-5). Let j be ((-3 + (-27)/(-7))/(-2))/l. Let -j*y - 2/7 + 5/7*y**2 = 0. What is y?
-2/5, 1
Let r(i) = 15*i**2 + 60*i + 60. Let p(c) be the third derivative of -c**5/10 - c**4 - 4*c**3 - 25*c**2. Let n(l) = -12*p(l) - 5*r(l). Solve n(x) = 0 for x.
-2
Let j(h) = -26*h + 11*h + 6*h**2 + 13*h - 6 + 5*h. Let l(t) = -18*t**2 - 9*t + 17. Let r = -38 - -21. Let u(n) = r*j(n) - 6*l(n). Solve u(d) = 0.
-1/2, 0
Let j be (-24)/36 - ((-40)/15 - 1). Determine g, given that -2/3*g**4 - 34/3*g**2 + 34/3*g + 14/3*g**j - 4 = 0.
1, 2, 3
Factor -36 + 27/2*z - 1/2*z**2.
-(z - 24)*(z - 3)/2
Let 800*q - 97*q**4 - 800 - 525*q**3 - 73*q**4 - 417*q + 1057*q - 15*q**5 + 70*q**2 = 0. Calculate q.
-5, -4, 2/3, 1
Let q(g) be the second derivative of 2*g**6/15 + 3*g**5/5 - 7*g**4/3 - 10*g**3 + 36*g**2 - 2*g + 47. Determine b so that q(b) = 0.
-3, 1, 2
Let v(s) be the second derivative of 0 + 0*s**2 - 1/2*s**4 + 27/20*s**5 + 0*s**3 - 5*s - 7/10*s**6. Factor v(j).
-3*j**2*(j - 1)*(7*j - 2)
Let z(w) be the third derivative of -w**6/300 + 7*w**5/150 - w**4/5 + 9*w**2 - 4. What is p in z(p) = 0?
0, 3, 4
Let x = -65 + 68. Let 0 - x + 4*s**2 + 1 - 2*s**4 = 0. Calculate s.
-1, 1
Let l(x) be the second derivative of 0 + 50*x + 1/54*x**4 - 7/9*x**2 - 2/9*x**3. Factor l(c).
2*(c - 7)*(c + 1)/9
Suppose -44 = 2*w - 2*z, -2*z = w + 2*z + 7. Let o = w - -22. Factor 10*t**2 - 3*t + 2 - 9*t**3 + t**o - 5*t + 4*t**3.
-2*(t - 1)**2*(2*t - 1)
Let m(c) be the first derivative of c**9/1512 + 3*c**8/1960 + c**7/1470 - 2*c**3/3 + 8. Let h(z) be the third derivative of m(z). Factor h(j).
2*j**3*(j + 1)*(7*j + 2)/7
Let a(m) be the third derivative of -m**6/24 + 5*m**4/6 - 8*m**2. Let a(n) = 0. Calculate n.
-2, 0, 2
Factor -1/3*l**3 - 1/3*l**5 + 2/3*l**4 + 0*l**2 + 0 + 0*l.
-l**3*(l - 1)**2/3
Let d(f) = -f**4 - 2*f - 1. Let b(o) = 5*o**5 - 21*o**4 - 2*o - 1. Let q(x) = -b(x) + d(x). Determine w so that q(w) = 0.
0, 4
Factor 8*v + 1/2*v**2 - 17/2.
(v - 1)*(v + 17)/2
Let d(q) be the second derivative of -q**5/4 - 5*q**4/4 + 10*q**2 - 362*q. Factor d(g).
-5*(g - 1)*(g + 2)**2
Let g(n) be the first derivative of -5*n**6/3 + 194*n**5/5 - 334*n**4 + 1248*n**3 - 1728*n**2 + 864*n + 323. Suppose g(y) = 0. What is y?
2/5, 1, 6
Let h = 9 - -79. Let a = 88 - h. Factor 3/2*v**5 + 0*v + 0*v**4 + a*v**3 + 0 + 0*v**2.
3*v**5/2
Let v(t) = -8*t + 2. Let g(f) = 7*f - 1. Let w(s) = 4*g(s) + 3*v(s). Let k be w(0). Factor -2/15*u**3 + 4/5*u**k - 8/5*u + 16/15.
-2*(u - 2)**3/15
Let z be 4/(-40)*(-1 - 1). Find d, given that 1/10*d**2 + 0*d + 0 + 1/10*d**4 + z*d**3 = 0.
-1, 0
Let k be ((-218)/(-763))/(16/14 - 1). Factor -8*n + 2/3*n**k + 22/3.
2*(n - 11)*(n - 1)/3
Let u(a) be the first derivative of -125*a**4 + 200*a**3/3 + 150*a**2 - 144*a - 185. Suppose u(l) = 0. Calculate l.
-4/5, 3/5
Let g(q) = 21*q**2 - 1 - 22*q**2 + 1. Let y(i) = 37*i - 2*i + 18 - 9*i - 14*i + 4*i**2. Let u(s) = 4*g(s) + 2*y(s). Factor u(k).
4*(k + 3)**2
Suppose -g - 84 = -5*g. Let d = g - 18. Factor -4*o**2 + 5*o - 10*o**3 + 5 - 3*o**2 + 5*o**d + 2*o**2.
-5*(o - 1)*(o + 1)**2
Suppose -f**2 - 6/5*f + 2/5*f**3 + 0 + 1/5*f**4 = 0. What is f?
-3, -1, 0, 2
Let w(h) be the first derivative of -5*h**3/3 + 130*h**2 - 3380*h - 48. Determine g so that w(g) = 0.
26
Let u(h) be the third derivative of h**8/560 - 17*h**7/1050 + 17*h**6/300 - 7*h**5/75 + h**4/15 - 129*h**2. Suppose u(s) = 0. Calculate s.
0, 2/3, 1, 2
Let f(u) be the second derivative of -u**5/480 + u**4/192 - 7*u**2 + 11*u. Let z(k) be the first derivative of f(k). What is a in z(a) = 0?
0, 1
Let u = -41 - -46. Determine b, given that -4*b**3 + 229*b**5 + 3*b**3 - 228*b**u = 0.
-1, 0, 1
Let z = 4/679 - -7/1164. Let r(b) be the third derivative of 0 + 0*b**3 - z*b**6 - 1/30*b**5 + 13*b**2 - 1/42*b**4 + 0*b. Find p, given that r(p) = 0.
-1, -2/5, 0
Factor -5/4*h**4 + 0 - 450*h**2 + 405*h + 185/4*h**3.
-5*h*(h - 18)**2*(h - 1)/4
Let a(b) = -b**2 - 42*b. Let d(t) = 3*t**2 + 105*t. Let w(s) = 12*a(s) + 5*d(s). Factor w(u).
3*u*(u + 7)
Let x(h) = -h**3 - 90*h**2 + 269*h - 928. Let f be x(-93). What is i in 2/3*i**f + 1/3 + i = 0?
-1, -1/2
Let u = 7 - -5. Let x be ((-1)/2)/(-1)*(16 - u). Let -1/2*t**x + 0 - 1/2*t = 0. Calculate t.
-1, 0
Suppose 6*v + 115 = 115. Factor -32/11*p**4 + v + 4/11*p**2 + 18/11*p**5 + 0*p + 10/11*p**3.
2*p**2*(p - 1)**2*(9*p + 2)/11
Determine l, given that 145*l + 164 - 249 - 415 - 2*l**2 - 9*l**2 + 6*l**2 = 0.
4, 25
Solve 18/13*w**3 - 2/13*w**5 - 16/13*w + 4/13*w**2 + 0 - 4/13*w**4 = 0 for w.
-4, -1, 0, 1, 2
Let y(p) be the third derivative of -p**4/8 - 7*p**3/6 - p**2. Let h be y(-3). Factor -2*j + j**2 + j - 2*j + 2*j**h.
3*j*(j - 1)
Let r = -126 - -64. Let i = 62 + r. Factor -2/11*n + 0*n**4 + i*n**2 - 2/11*n**5 + 0 + 4/11*n**3.
-2*n*(n - 1)**2*(n + 1)**2/11
Determine m so that -5*m**4 + 10*m + 3*m**3 + 25*m**2 + 2946*m**5 - 2951*m**5 + 12*m**3 = 0.
-1, 0, 2
Let x be 8/(-12) + 64/24. Let u(z) be the second derivative of -1/8*z**x + 1/8*z**3 + 0 + 1/80*z**5 - 1/16*z**4 + 2*z. Solve u(m) = 0.
1
Let r(k) be the second derivative of -57*k + 0*k**2 + k**4 + 3/80*k**5 + 0 + 8*k**3. Factor r(v).
3*v*(v + 8)**2/4
Suppose 0 + 21*d + 3/2*d**2 = 0. What is d?
-14, 0
Let a(w) be the third derivative of 27*w**6/280 - 27*w**5/70 + 9*w**4/14 - 4*w**3/7 + 2*w**2 - 25*w. Factor a(p).
3*(3*p - 2)**3/7
Let y(s) be the first derivative of -s**5/360 - s**4/72 - 9*s**2 - 19. Let m(q) be the second derivative of y(q). Factor m(r).
-r*(r + 2)/6
Let r(f) be the third derivative of -f**8/90720 + f**7/11340 + f**6/1080 + 17*f**5/60 - f**2. Let b(i) be the third derivative of r(i). Factor b(w).
-2*(w - 3)*(w + 1)/9
Let r(u) be the second derivative of 3*u**6/20 + 129*u**5/40 + 55*u**4/4 - 88*u**3 - 96*u**2 + 254*u. Let r(j) = 0. What is j?
-8, -1/3, 2
Let q = -12 + 20. Let z be 6/q - 153/(-68). Let -8*j**3 + 15*j**z - 4*j**3 - 3*j**5 = 0. Calculate j.
-1, 0, 1
Let v(f) be the first derivative of f**6/120 - f**5/40 - f**4/4 + 16*f**3/3 - 10. Let p(w) be the third 