second derivative of -1/30*l**5 + 13*l - 7*l**2 + 0 - 1/120*l**6 - 1/24*l**4 + 0*l**3. Let j(a) be the first derivative of g(a). Factor j(s).
-s*(s + 1)**2
Let s(z) be the third derivative of -z**6/540 - z**5/45 - z**4/9 - 8*z**3/27 + 3*z**2 + 2*z. What is u in s(u) = 0?
-2
Factor l**3 - 6*l - 62 + 60 + 13*l - 8*l + 2*l**2.
(l - 1)*(l + 1)*(l + 2)
Let l be (-18)/(-560)*(12 + 352/(-33)). Let w(z) be the second derivative of 0*z**2 + 1/28*z**4 - z + 0*z**3 - l*z**5 + 1/70*z**6 + 0. Factor w(o).
3*o**2*(o - 1)**2/7
Let q(z) be the first derivative of -z**4/20 - 8*z**3/5 + 79*z**2/10 - 54*z/5 - 454. Factor q(v).
-(v - 2)*(v - 1)*(v + 27)/5
Let j(l) be the third derivative of -l**6/216 + l**5/270 + 5*l**4/54 - 4*l**3/27 - 49*l**2 + 3. Solve j(g) = 0.
-2, 2/5, 2
Determine l so that -171/5*l**2 + 9 + 12/5*l**3 - 138/5*l = 0.
-1, 1/4, 15
Let s = 33 - 28. Let r be 2*(-10)/(-16)*4. Suppose -14*g**3 + 16*g**4 + 4*g**s - 2*g**2 + 6*g**2 - 10*g**r = 0. What is g?
0, 2/3, 1
Let a(k) be the second derivative of 5*k**4/12 + 13*k**3/18 - k**2/3 + 3*k + 7. Find j such that a(j) = 0.
-1, 2/15
Find l such that -150/7*l**3 - 228/7*l - 36/7 - 405/7*l**2 = 0.
-2, -2/5, -3/10
Let h(d) = -12*d + 74. Let r be h(6). Let l(w) be the first derivative of -w**3 + 4*w + 0*w**r - 11 + 1/4*w**4. Factor l(n).
(n - 2)**2*(n + 1)
Let q(a) be the first derivative of -2*a**3/21 - 23*a**2/7 - 44*a/7 - 71. Factor q(u).
-2*(u + 1)*(u + 22)/7
Suppose n + 6 = -2*n. Let k = n + 2. Factor k*b**3 - 2*b**3 - 3*b - 3*b**5 + 0*b**5 + 8*b**3.
-3*b*(b - 1)**2*(b + 1)**2
Let u(y) be the first derivative of -2/45*y**3 + 0*y + 1/30*y**4 - 1/15*y**2 + 5 + 2/75*y**5. Let u(m) = 0. What is m?
-1, 0, 1
Let d(z) be the third derivative of 29*z**6/240 - 19*z**5/40 + 9*z**4/16 + z**3/12 + 133*z**2. Factor d(w).
(w - 1)**2*(29*w + 1)/2
Let y(q) be the second derivative of -q**9/5040 + q**8/6720 + q**7/315 + q**6/180 + 11*q**4/12 - 17*q. Let d(n) be the third derivative of y(n). Factor d(w).
-w*(w - 2)*(w + 1)*(3*w + 2)
Let f(l) be the second derivative of -7*l**4/4 + 113*l**3/2 - 24*l**2 + 56*l + 6. Find d, given that f(d) = 0.
1/7, 16
Let j = 41 - 186. Let s = 729/5 + j. Factor 4/5*v**4 + 0*v**2 + 0*v - s*v**3 + 0.
4*v**3*(v - 1)/5
Let p = -134 + 134. Let r(i) = -10*i. Let u be r(p). Find s such that 0 - 2/13*s**3 + 2/13*s + u*s**2 = 0.
-1, 0, 1
Suppose 7*t = -1116 + 1137. Determine o, given that -2/9*o**t - 4/9*o**4 + 0 + 0*o**2 + 0*o - 2/9*o**5 = 0.
-1, 0
Let g be 0 + 87 + 3 + 1. Find p, given that p**2 - 5*p**2 + 27 - 12*p - g - 20*p = 0.
-4
Let s(r) be the second derivative of r**4/48 + r**3/12 + r**2/8 + 6*r - 5. Factor s(d).
(d + 1)**2/4
Let d = -587 + 587. Factor 9/2*c**3 + d - 15/2*c**4 + 0*c + 3*c**2.
-3*c**2*(c - 1)*(5*c + 2)/2
Suppose -3*l + 3*p - 4*p = -1, 3*l - 3*p = 21. Factor 25*g**l - 34*g**3 - 56*g**3 + 10*g**2 + 25*g**4 + 30*g.
5*g*(g - 3)*(g - 1)*(5*g + 2)
Suppose -64/5*w**4 - 36/5*w**2 - 32*w**3 + 52/5*w - 8/5 = 0. Calculate w.
-2, -1, 1/4
What is w in -2/15*w - 2/5*w**3 + 8/15*w**2 + 0 = 0?
0, 1/3, 1
Solve 10/7*i**3 + 64/7*i - 24/7 - 46/7*i**2 = 0.
3/5, 2
Factor 46/9*l + 16/3 - 2/9*l**2.
-2*(l - 24)*(l + 1)/9
Let v(x) be the second derivative of -x**7/42 - x**6/15 + 3*x**5/10 + 5*x**4/3 + 19*x**3/6 + 3*x**2 + 14*x - 4. Determine z so that v(z) = 0.
-2, -1, 3
Let d(b) be the second derivative of -7*b**5/40 - 17*b**4/8 - 14*b**3/3 - 3*b**2 + 317*b. Determine w so that d(w) = 0.
-6, -1, -2/7
Let p = 15377 - 15375. Determine m, given that 3/2*m**p + m - 1/2 = 0.
-1, 1/3
Let l = -647 + 6473/10. Let t(r) be the second derivative of 0 + l*r**2 - 7*r + 0*r**3 - 1/20*r**4. Find w, given that t(w) = 0.
-1, 1
Let g(l) = 2*l + 36. Let i be g(16). Let z = i + -68. Factor 0*a + z + 0*a**3 + 2/3*a**4 - 2/3*a**2.
2*a**2*(a - 1)*(a + 1)/3
Let f(l) be the first derivative of -4*l**6/15 - 84*l**5/25 - 77*l**4/5 - 144*l**3/5 - 8*l**2 + 192*l/5 - 205. Solve f(o) = 0 for o.
-4, -3, -2, 1/2
Let q(n) be the third derivative of n**6/120 - n**5/12 + n**4/3 - 2*n**3/3 + 6*n**2 + 3*n. Find u, given that q(u) = 0.
1, 2
Let o(n) be the first derivative of -10976*n - 56*n**3 + 1176*n**2 + 33 + 4 - 22*n**4 + 23*n**4. Let o(h) = 0. What is h?
14
Let y(n) = 706*n - 2116. Let p be y(3). What is c in -64/3 - 480*c**p - 512/3*c - 500/3*c**4 - 1600/3*c**3 = 0?
-2, -2/5
Let i(c) be the first derivative of 5*c**3/7 + 57*c**2/14 - 12*c/7 + 10. Factor i(f).
3*(f + 4)*(5*f - 1)/7
Factor 0 + 2/7*n**4 + 6/7*n**3 - 12/7*n**2 - 16/7*n.
2*n*(n - 2)*(n + 1)*(n + 4)/7
Suppose -4/3*j**4 - 32/3*j**2 + 0*j + 0 - 8*j**3 = 0. Calculate j.
-4, -2, 0
Let w(o) = -o**2 + 6*o - 6. Let h be 10*((-6)/5)/(-3). Let r be w(h). Factor r*c + 14*c**3 + 2*c + 4*c**4 - 4*c**2 - 18*c**3.
4*c*(c - 1)**2*(c + 1)
Let f(b) be the first derivative of -3/2*b**4 + 2/3*b**5 + 14/9*b**3 + 0*b - 2/3*b**2 + 4 - 1/9*b**6. What is r in f(r) = 0?
0, 1, 2
Suppose -5*g = -2*p - 14, 5*g + 5*p - 45 = -10. Factor g - 28/3*d**2 - 26/3*d - 2*d**3.
-2*(d + 2)*(d + 3)*(3*d - 1)/3
Let z = 16331/4535 + -1/907. Solve 8/5*p - z*p**5 + 2*p**3 + 0 + 8*p**2 - 8*p**4 = 0.
-2, -1, -2/9, 0, 1
Factor -23/4*w - 3/4*w**2 + w**4 + 8*w**3 + 2.
(w + 1)*(w + 8)*(2*w - 1)**2/4
Let f(u) be the second derivative of -u**6/85 - u**5/34 + 11*u**4/102 - u**3/17 + 7*u + 2. Determine h so that f(h) = 0.
-3, 0, 1/3, 1
Let o = -380 - -17101/45. Let t(j) be the third derivative of 3*j**2 + 0*j + 2/9*j**3 + 0 + 1/9*j**4 + o*j**5. Factor t(m).
4*(m + 1)**2/3
Let x(q) be the second derivative of 0 + 0*q**2 + 1/16*q**3 - 1/80*q**6 - 20*q + 9/160*q**5 - 3/32*q**4. Factor x(v).
-3*v*(v - 1)**3/8
Let k(n) be the third derivative of -5*n**8/1344 - n**7/140 + 7*n**6/240 + 7*n**5/60 + 5*n**4/32 + n**3/12 + 11*n**2 + 2*n. What is y in k(y) = 0?
-1, -1/5, 2
Let x(u) = 2*u**2 - 12*u. Suppose -4*o - 28 = -8. Let q(h) = -3*h + 9*h**2 - 5*h - 8*h**2. Let k(t) = o*x(t) + 8*q(t). Find i, given that k(i) = 0.
-2, 0
Suppose -20*z + 22*z = 6. Factor 18 + 17*k - 92*k + 18*k**2 + 49*k**z + 38*k**2.
(k + 2)*(7*k - 3)**2
Factor -20*i**4 + 30*i**3 + 439*i - 166*i**3 - 172*i**2 + 428*i - 827*i.
-4*i*(i + 2)*(i + 5)*(5*i - 1)
Let p(n) be the second derivative of 1/14*n**7 - 13*n + 0 + 4*n**4 + 3/5*n**6 + 21/10*n**5 + 3*n**2 + 9/2*n**3. Solve p(i) = 0.
-2, -1
Let v(q) = -10*q**3 + q**2 + 13*q - 2. Let m(a) = -19*a**3 + 4*a**2 + 25*a - 5. Let c(z) = -4*m(z) + 7*v(z). Find w, given that c(w) = 0.
-1, 1/2, 2
Let s = -77 - -4. Let z = 75 + s. Factor 0 + 1/3*k**3 + 0*k**z + 0*k.
k**3/3
Let l(w) be the first derivative of -w**4/4 - 7*w**3/3 + 17*w**2/2 - 9*w + 96. Factor l(z).
-(z - 1)**2*(z + 9)
Suppose 0 = 22*t - 21*t. Let x(f) be the second derivative of t*f**2 + 0 + 2*f + 1/36*f**4 + 1/9*f**3. Factor x(u).
u*(u + 2)/3
Let r(y) be the second derivative of 4*y + 20/3*y**3 + 3 - 47/3*y**4 + 0*y**2 + 44/5*y**5 - 14/15*y**6. Factor r(g).
-4*g*(g - 5)*(g - 1)*(7*g - 2)
Let i(k) be the first derivative of -17/8*k**4 + 0*k**2 - 5/3*k**3 + 5/12*k**6 + 32 + 0*k + 11/5*k**5. Suppose i(t) = 0. Calculate t.
-5, -2/5, 0, 1
Let l(q) be the second derivative of q**7/105 - q**6/30 + q**5/30 + 11*q**2 + 4*q. Let b(d) be the first derivative of l(d). Suppose b(m) = 0. Calculate m.
0, 1
Let k(x) be the third derivative of 2*x**7/105 - 13*x**6/30 + 5*x**5/3 + 31*x**4/2 + 36*x**3 - 324*x**2 + 2*x. Determine t, given that k(t) = 0.
-1, 6, 9
Suppose 23 = -0*n - 5*n + h, 2*h = 5*n + 26. Let g be 3/(-6)*2 - n. Factor 83*t**2 + 3*t**4 + 243 + 10*t**3 + 79*t**2 - 46*t**g + 40*t - 364*t.
3*(t - 3)**4
Solve -160*d**2 - 2/3*d**4 + 56/3*d**3 + 4000/3 + 800/3*d = 0 for d.
-2, 10
Suppose -3*j + 4*j = -5*o + 47, j - 57 = 5*o. Let l be (3/2)/(39/j). Factor -4*w**2 - 10*w**3 + 4*w**3 - 4*w**2 - l*w.
-2*w*(w + 1)*(3*w + 1)
Let z = -47 - -48. Let v be (6/(-18))/(z/(-2)). Factor -v*r - 1/3 - 1/3*r**2.
-(r + 1)**2/3
Let v be -10 + (-2)/(-2 + 0). Let l be (v + 2)*30/(-49). What is i in 2/7*i**3 + 18/7 + l*i + 2*i**2 = 0?
-3, -1
Factor -20/9 - 2/9*a**2 - 22/9*a.
-2*(a + 1)*(a + 10)/9
Let u(f) be the second derivative of -2*f**7/147 - 2*f**6/105 + 2*f**5/35 + 68*f. Factor u(y).
-4*y**3*(y - 1)*(y + 2)/7
Let m be 12600/2025 + -2 + 48/27. What is j in 9/2*j**2 - m*j**3 + 0*j + 0 + 3/2*j**4 = 0?
0, 1, 3
Let f(h) be the third derivative of 0*h + 2/35*h**7 + 6*h**2 + 1/84*h**8 