be the first derivative of -3/2*n**2 - 1/6*n**6 + 2/3*n**3 + n**4 + 64 + 0*n - 2/5*n**5. Factor j(v).
-v*(v - 1)**2*(v + 1)*(v + 3)
Let j(n) be the second derivative of 12/5*n**2 + 2*n - 1/15*n**3 - 1/225*n**6 - 23/90*n**4 - 25 - 3/50*n**5. Determine d, given that j(d) = 0.
-4, -3, 1
Let u(b) = 9*b**2 + 17*b - 57. Let a(h) = -h**2 - h - 3. Let t = -423 - -418. Let y(n) = t*a(n) - u(n). What is s in y(s) = 0?
-6, 3
Let v = -392/55 - -2943/220. Factor v*y + 9/2 - 3/4*y**2.
-(y - 9)*(3*y + 2)/4
Let v(r) be the first derivative of -37 + 1/12*r**6 - 5/8*r**4 + 3/4*r - 3/20*r**5 + r**2 + 0*r**3. Let v(w) = 0. Calculate w.
-1, -1/2, 1, 3
Let f(l) be the first derivative of 0*l - 2/27*l**3 - 1/3*l**2 - 51. Factor f(j).
-2*j*(j + 3)/9
Let o(u) be the second derivative of 101*u + 5/24*u**3 + 1/16*u**4 + 2 - 1/40*u**5 + 0*u**2. What is y in o(y) = 0?
-1, 0, 5/2
Let h(d) be the first derivative of -d**6/15 + 4*d**5/25 + 33*d**4/5 - 288*d**3/5 + 999*d**2/5 - 324*d - 1154. Factor h(f).
-2*(f - 3)**4*(f + 10)/5
Let k = -703783/5 - -4996416/35. Let u = k - 1997. Solve 8/7 + 2/7*l**2 + u*l = 0.
-2
Let t(b) be the first derivative of -b**4 + 32*b**3/3 - 26*b**2 + 24*b + 1568. Find u such that t(u) = 0.
1, 6
Let t be (-6)/1*(15 + -5 - 13). Let i be (-135)/t*44/(-165). Find o such that 96/7*o + 144/7 + 4/7*o**3 - 44/7*o**i = 0.
-1, 6
Let n = 155132 + -155130. Factor n*f**4 + 0*f + 2/5*f**5 + 6/5*f**2 + 0 + 14/5*f**3.
2*f**2*(f + 1)**2*(f + 3)/5
Factor 2/5*w**2 + 16 - 44/5*w.
2*(w - 20)*(w - 2)/5
Let -4/11*p**3 - 402/11*p + 180/11 + 86/11*p**2 = 0. What is p?
1/2, 6, 15
Let z = 93971 + -93968. Let 0*i + 27/7*i**2 + 0 + 3/7*i**z = 0. Calculate i.
-9, 0
Let l(o) be the second derivative of o**9/3780 - o**8/560 - o**7/63 - o**4/6 - 31*o**3/6 + 110*o. Let h(s) be the third derivative of l(s). Factor h(d).
4*d**2*(d - 5)*(d + 2)
Let i = 138 + -1076. Let p be (-32)/272 + (1 - i/170). Solve -36/5*d - p*d**4 + 36/5*d**3 + 4/5 + 28/5*d**2 = 0.
-1, 1/8, 1
Let w(p) = 26*p**2 - p - 22. Let r be w(-6). Suppose 908*u**4 - 15*u**3 + 2*u + 13*u + 9*u**2 - r*u**4 + 3 = 0. Calculate u.
-1, -1/4, 1
Suppose -12*a + 12 = -9*a. Suppose -m - h + 7 = 3, a*m - 3*h - 2 = 0. Find i, given that 2/11*i**3 + 0*i**m - 6/11*i + 4/11 = 0.
-2, 1
Suppose 40 = -42*k + 46*k. Factor -29*g**4 - 30*g**2 + k*g**2 + 34*g**4.
5*g**2*(g - 2)*(g + 2)
Let o = 50 - 30. Factor 9*b**3 - 8*b + 6*b - 42*b**2 + 13*b**3 + 6*b**4 + o - 4*b.
2*(b - 1)**2*(b + 5)*(3*b + 2)
Let y be (-38*(-36)/11628)/(2/4). Find r such that 8/17*r**2 - 2/17*r**4 - y*r**3 + 4/17*r - 6/17 = 0.
-3, -1, 1
Suppose 214*k**3 + 84*k**2 + 19*k**4 + 11*k**4 - 325*k**3 + 36*k = 0. Calculate k.
-3/10, 0, 2
Suppose 3*w - 12 = -3*w. Let j be 6 + -1 + 5 + -8 + (-4)/(-10). Factor 9/5 + 3/5*u**w - j*u.
3*(u - 3)*(u - 1)/5
Let h(u) be the third derivative of 0*u + 0 - 1/108*u**6 + 57*u**2 + 1/378*u**8 + 0*u**5 - 19/945*u**7 + 0*u**4 + 0*u**3. Factor h(t).
2*t**3*(t - 5)*(4*t + 1)/9
Let j be ((-954)/(-4))/((-12180)/(-112)). Let y = j - -6/29. Factor 0 + 3/5*s**3 - y*s - 9/5*s**2.
3*s*(s - 4)*(s + 1)/5
Let g be 0 + ((-154)/(-5))/(13/(-65)). Let m = 313 + g. Factor -8*d**2 - m*d**3 - 5*d**4 + 4*d**4 + 16*d + 152*d**3.
-d*(d - 1)*(d + 4)**2
Let q(w) be the third derivative of 0*w**3 - 61*w**2 + 0*w**4 + 1/490*w**7 - 1/420*w**5 + 2*w + 1/1176*w**8 + 0 + 0*w**6. What is l in q(l) = 0?
-1, 0, 1/2
Let j(k) be the third derivative of 23/25*k**5 + 54*k**2 - 31/50*k**7 + 0*k - 2/5*k**4 + 0*k**3 - 1 - 3/10*k**6 - 7/80*k**8. Let j(u) = 0. What is u?
-4, -1, 0, 2/7
Let u(s) = 128*s + 2324. Let y be u(-18). Suppose -76/7*a**2 - 68/7 + 4/7*a**3 + y*a = 0. Calculate a.
1, 17
Let p = 5034/77 + -705/11. Let d(g) be the second derivative of -8/7*g**3 + g + 0 - p*g**2 - 1/105*g**6 - 11/21*g**4 - 4/35*g**5. Factor d(t).
-2*(t + 1)**2*(t + 3)**2/7
Find k such that -15168*k**2 + 20086*k**4 - 14400*k - 3168 + 35288/3*k**3 + 2662/3*k**5 = 0.
-22, -6/11, 1
Let d = -7094 + 7094. Let c(x) be the second derivative of 0 + 3*x**5 + d*x**2 - 1/6*x**6 - 15*x**4 - 31*x + 0*x**3. Factor c(j).
-5*j**2*(j - 6)**2
Let t(d) be the first derivative of -3*d**4/8 + 27*d**3 + 345*d**2/4 - 252*d + 48. Suppose t(y) = 0. What is y?
-3, 1, 56
Let l(p) = -p**2 - 9*p - 6. Let v be l(-3). Suppose v = -2*o + 6*o. Let -8*f - 6*f**o - f**2 + f**3 + 8*f**3 - 4 = 0. What is f?
-1, -2/3, 2
Let u(g) be the third derivative of g**8/84 + 34*g**7/105 - 19*g**6/10 + 59*g**5/15 - 10*g**4/3 + 186*g**2 - 2. Factor u(z).
4*z*(z - 1)**3*(z + 20)
Let t(r) = 2*r**3 + 21*r**2 - 264*r - 2740. Let g be t(-10). Factor -1/3 + g*k + 1/3*k**2.
(k - 1)*(k + 1)/3
Let m = 670 - 676. Let d(y) = 15*y - 10. Let g be (-19)/4 + 5/(-20). Let q(k) = k**2 - 16*k + 9. Let a(t) = g*q(t) + m*d(t). What is w in a(w) = 0?
-3, 1
Let a(x) be the first derivative of x**5/50 - 8*x**4/15 + 29*x**3/15 - 14*x**2/5 + 116*x + 251. Let k(u) be the first derivative of a(u). Factor k(t).
2*(t - 14)*(t - 1)**2/5
Let y be ((-505)/(-300) - (-12)/48) + (-30)/50. What is d in y*d**2 + 196/3 - 56/3*d = 0?
7
Let h(t) be the first derivative of 3*t**5/20 - 3*t**4/4 + 3*t**3/2 - 3*t**2/2 + 2*t + 36. Let v(u) be the first derivative of h(u). Solve v(o) = 0 for o.
1
Let j be 4/(-16) - (-6)/8. Let k(i) = i**3 + 5*i**2 + 52*i + 348. Let m be k(-6). Factor -3/4*o + j*o**2 + 7/4*o**3 + m + 1/2*o**4.
o*(o + 1)*(o + 3)*(2*o - 1)/4
Let -1/2*g**4 - 28800 - 6722*g**2 - 118*g**3 + 28320*g = 0. What is g?
-120, 2
Let o(a) be the second derivative of 5 - 4*a + 1/120*a**4 + 1/10*a**2 + 1/20*a**3. Determine y so that o(y) = 0.
-2, -1
Let z be (4/5)/((584/(-219))/(8/(-42))). Let l(d) be the second derivative of 8/7*d**3 - 2*d + 2/105*d**6 + 72/7*d**2 - z*d**5 - 11/21*d**4 + 0. Factor l(b).
4*(b - 3)**2*(b + 2)**2/7
Suppose 0 = -3*s, 4*h + 4*s - s - 148 = 0. Let a = h + -33. What is g in 2*g**a - 2*g**3 + 7*g - g - 6*g = 0?
0, 1
Factor -13*l + 20*l + 5*l**2 + 27*l - 3*l**2 + 32.
2*(l + 1)*(l + 16)
Suppose -b = -3*y + 719, b - 10 = 3*b. Factor -175*o - 248*o + 60 - 53*o**2 + y*o - 10*o**3 + 188*o**2.
-5*(o - 12)*(o - 1)*(2*o - 1)
Let x = 316 - 311. Find b, given that -x*b**4 + 24*b**3 + 15*b**3 + 27*b**3 - 86*b**3 = 0.
-4, 0
Let -722*i**3 + 15521*i**2 + 433*i**3 - 32199*i**2 - 82682*i**2 - 809*i**3 - 3*i**4 + 203136*i = 0. Calculate i.
-184, 0, 2
Let c be (-27)/225*-7*(-200)/(-56). Determine i so that 2*i**2 - 8/3*i**4 - 7/3*i + 4/3*i**c + i**5 + 2/3 = 0.
-1, 2/3, 1
Let j(c) be the second derivative of 3*c**5/140 - c**4/7 - c**3/14 + 6*c**2/7 - 1652*c. What is w in j(w) = 0?
-1, 1, 4
Let h(o) = -o**3 - 33*o**2 + 30*o + 63. Let v be h(-34). Suppose -151 = -2*k + y, 0 = 3*k - 4*y - 15 - v. Factor k*q - 72*q**2 + 27/2*q**3 - 24.
3*(q - 4)*(3*q - 2)**2/2
Let q = 3047070/11 + -276410. Factor 322/11*h**2 + 4/11*h**3 + q*h + 3200/11.
2*(h + 40)**2*(2*h + 1)/11
Let d(o) be the first derivative of 4*o**5 - 105*o**4/4 + 45*o**3 + 40*o**2 - 180*o + 1002. Factor d(g).
5*(g - 2)**2*(g + 1)*(4*g - 9)
Let a(b) = -b**2 + 629*b + 3172. Let h be a(-5). Factor -10/3*q + 16/3*q**h - 2.
2*(q - 1)*(8*q + 3)/3
Let f = 22794 - 22793. Let r(g) = g**2 - 1 + 0*g**2 + 0. Let b(d) = -4*d**3 + 4*d**2 + 4*d - 4. Let m(c) = f*b(c) + 4*r(c). Factor m(n).
-4*(n - 2)*(n - 1)*(n + 1)
Factor -1/2*r**4 + 13*r**3 - 151/2*r**2 + 63*r + 0.
-r*(r - 18)*(r - 7)*(r - 1)/2
Let f(g) = 4*g**2 + 451*g + 1383. Let b(u) = -18*u**2 - 1803*u - 5533. Let r(c) = 6*b(c) + 26*f(c). Suppose r(y) = 0. What is y?
-3, 230
Let o(i) be the second derivative of 0*i**2 - 19/3*i**4 - 180*i - 6/5*i**6 - 4*i**3 - 21/5*i**5 - 2/21*i**7 + 0. Factor o(k).
-4*k*(k + 1)**3*(k + 6)
Suppose 0 = 36*n + 1932 + 984. Let g = -79 - n. What is x in 2/7*x**3 + 1/7*x**4 - 1/7*x**g - 2/7*x + 0 = 0?
-2, -1, 0, 1
Let f = -4280 + 4282. Let c(z) be the second derivative of 0*z**f - 1/9*z**3 + 1/90*z**5 + 1/27*z**4 - 3*z + 0. Factor c(p).
2*p*(p - 1)*(p + 3)/9
Let m(t) be the first derivative of t**3/3 - 20*t**2 - 84*t - 1213. Solve m(k) = 0.
-2, 42
Suppose 41/2 - 161/2*w**2 + 2*w**3 - 62*w = 0. What is w?
-1, 1/4, 41
Find h such that 676*h - 41*h**3 + 214*h - 254*h**2 - 2*h**4 - 1331*h - 162 = 0.
-9, -2, -1/2
Let c = 106 - -154. Suppose -c = -4*l - k - 3*k, -4*k = -20. Let 1 + 8*w + 58*w**2 - 1 - l*w**2 = 0. Calculate w.
0, 4
Let l be (-6909)/(-13230) + 2/(-9). Le