j**2 = 0. Calculate j.
-102, -3
Let g(n) be the third derivative of 0 + 0*n + 25/96*n**4 - 1/12*n**5 + 1/96*n**6 - 5/12*n**3 + 156*n**2. Factor g(c).
5*(c - 2)*(c - 1)**2/4
Suppose q - 37 = -2*o - 6, -5*o + 3*q + 61 = 0. Suppose 0 = -94*a + 101*a - o. Factor -1/2 - 1/2*b**5 - 1/2*b + b**3 - 1/2*b**4 + b**a.
-(b - 1)**2*(b + 1)**3/2
Let y(k) be the second derivative of -k**6/10 + 9*k**5/20 + 105*k**4/4 - 539*k**3/2 + 5925*k. Factor y(p).
-3*p*(p - 7)**2*(p + 11)
Let g(t) be the third derivative of -5*t**6/32 - 89*t**5/16 - 273*t**4/4 - 441*t**3/2 - 304*t**2. Determine s, given that g(s) = 0.
-42/5, -1
Let n(b) be the first derivative of 3*b**4/4 - 121*b**3 + 717*b**2/2 - 357*b - 2944. Factor n(p).
3*(p - 119)*(p - 1)**2
Suppose 0 = 2*j + 5*i + 10, -5*i - 25 = 7*j - 8*j. Suppose 3*a - 2 = j*w - 14, 2*w - 2 = 4*a. Solve 8*o + 5 - 3*o**2 + 22*o**3 - 1 - 29*o**w - 2*o**4 = 0.
-2, -1/2, 1
Let s(l) = 4*l + 35. Let w be s(-7). Factor -w + 42*n**2 - 2*n**4 - 22*n - 42*n**3 + 24*n**3 + 7.
-2*n*(n - 1)**2*(n + 11)
Let d be (9 - (-58)/(-5))*(1 - 6). Let j(z) be the second derivative of 0 + 3*z**3 + 27/2*z**2 + 1/4*z**4 - d*z. Factor j(g).
3*(g + 3)**2
Suppose 4042*a**5 - 50*a**2 + 46*a**4 - 4047*a**5 - 70*a**2 - 121*a**4 - 190*a**3 = 0. Calculate a.
-12, -2, -1, 0
Let x(f) = f**2 - 18*f**2 + 12*f**2 + 97*f + 10*f**2. Let m(h) = -h**2 - 19*h. Let a(n) = 11*m(n) + 2*x(n). Factor a(d).
-d*(d + 15)
Find z such that -3/5*z**4 - 18/5*z**2 + 24 - 21/5*z**3 + 84/5*z = 0.
-5, -2, 2
Let n(d) be the first derivative of -3*d**5/25 + 27*d**4/20 - 14*d**3/5 - 36*d**2/5 - 6086. Find o such that n(o) = 0.
-1, 0, 4, 6
Suppose -5*g + 16 = -s, 5*g + 3*s + 470 = 462. Factor -48/7*v**g - 4/7*v**3 - 200/7 - 180/7*v.
-4*(v + 2)*(v + 5)**2/7
Let f(m) be the first derivative of 0*m + 1/60*m**5 - 18 + 0*m**3 + 5/2*m**2 - 1/24*m**4. Let r(v) be the second derivative of f(v). Let r(i) = 0. What is i?
0, 1
Let v = -364 - -24. Let a be v/(-600) + 1/(-6). Find t, given that -1/5*t**2 - a + 3/5*t = 0.
1, 2
Let h(j) be the first derivative of 5*j**3/3 - 1805*j + 689. Determine x so that h(x) = 0.
-19, 19
Let n(z) be the third derivative of -9/245*z**7 + 0*z**3 + 27*z**2 + 0 + 6/35*z**6 + 2*z + 0*z**4 - 8/35*z**5. Determine x, given that n(x) = 0.
0, 4/3
Let t(n) be the first derivative of -n**3/5 + 714*n**2/5 - 169932*n/5 - 1714. Let t(w) = 0. What is w?
238
Factor -5*n**4 + 79*n**3 - 500*n - 45*n**2 + 470*n**2 + 43*n**3 - 42*n**3.
-5*n*(n - 20)*(n - 1)*(n + 5)
Factor 5*b**4 + 39*b**3 - 110*b - 249*b - 555*b**2 - 309*b**3 + 79*b.
5*b*(b - 56)*(b + 1)**2
Let 4894/5*w - 1632/5 + 6/5*w**2 = 0. What is w?
-816, 1/3
Let g = -280 - -284. Suppose -g = 3*a + k + 1, -3*k - 15 = -a. Factor 3/2*q + a - 3/4*q**2.
-3*q*(q - 2)/4
Let h(f) be the first derivative of f**6/504 + f**5/35 - 176*f**3/3 - 189. Let g(n) be the third derivative of h(n). Factor g(s).
s*(5*s + 24)/7
Let h(x) be the first derivative of 3456*x**2 + 12*x**4 - 1/5*x**5 - 288*x**3 - 62 - 20736*x. Solve h(z) = 0.
12
Let z(a) = -a**4 + 24*a**2 - 4*a - 19. Let f(r) = -r**4 - 2*r**3 + 25*r**2 - 4*r - 18. Let q(p) = -4*f(p) + 6*z(p). Suppose q(o) = 0. Calculate o.
-3, -1, 1, 7
Suppose 0 = -u + 5*t + 5, 4*u - t - 20 = 3*t. Suppose 3*o - u*g = -25 + 68, 0 = -5*o + g + 35. Factor 51*i**2 - 48*i + 2*i**3 - 5*i**3 + 12 - o*i**3 - 6*i**3.
-3*(i - 2)*(i - 1)*(5*i - 2)
Suppose 52/7 - 22/7*s - 2/7*s**2 = 0. What is s?
-13, 2
Factor -84*x - 171/2 + 3/2*x**2.
3*(x - 57)*(x + 1)/2
Determine u so that -16/7*u**4 - 1600/7 - 36*u**3 + 6480/7*u - 256/7*u**2 = 0.
-10, 1/4, 4
Let u be (15/(-4))/((-96)/128). Factor -t**4 + 108*t**5 - 48*t**u - 61*t**5 + 2*t**3.
-t**3*(t - 1)*(t + 2)
Let b = 645 - 639. Find v such that 4*v - 15*v**4 - 7*v**3 + 20*v + b*v**2 - 34*v**3 + 8*v**3 = 0.
-2, -1, 0, 4/5
Let v(p) be the first derivative of -56*p**5/25 - 71*p**4/5 + 12*p**3/5 + 142*p**2/5 + 4*p - 11025. Solve v(c) = 0 for c.
-5, -1, -1/14, 1
Let 6/13*h**3 + 10/13*h**2 + 0 - 4/13*h = 0. What is h?
-2, 0, 1/3
Suppose -23*s + 62 = -18*s - 4*f, -f - 21 = -4*s. Factor 1/3*t**s + 0 - 1/3*t**5 + 1/3*t**3 - 1/3*t**4 + 0*t.
-t**2*(t - 1)*(t + 1)**2/3
Factor 5/3*c**3 + 4260*c**2 + 3629520*c + 1030783680.
5*(c + 852)**3/3
Let c be (2576/230)/(273/117). Factor 8/5*o**2 + 4/5*o**3 - 4*o - c.
4*(o - 2)*(o + 1)*(o + 3)/5
Factor -1/2*x**3 + 614125/2 + 255/2*x**2 - 21675/2*x.
-(x - 85)**3/2
What is m in -12686*m**3 - 27675*m + 6330*m**3 - 2099*m**2 - 916*m**2 + 6323*m**3 + 3*m**4 = 0?
-15, 0, 41
Let r = -981/397 - -7287/1985. Factor -12/5*t + 18/5*t**2 - r.
6*(t - 1)*(3*t + 1)/5
Let y(h) = h**2 - 23*h - 22. Let f be y(24). Let u(o) be the first derivative of 0*o + 8 + f*o**2 - 2/3*o**3. Suppose u(j) = 0. Calculate j.
0, 2
Let q(p) be the first derivative of -p**5/150 + 19*p**4/60 + 4*p**3/3 - 115*p**2/2 + 52. Let v(r) be the second derivative of q(r). Factor v(m).
-2*(m - 20)*(m + 1)/5
Let c(t) be the third derivative of -t**8/224 - t**7/10 + 199*t**6/80 - 23*t**5/5 + t**2 - 589. What is r in c(r) = 0?
-23, 0, 1, 8
Let g(v) be the third derivative of -v**7/280 - v**6/32 - v**5/40 + v**4/4 + 25*v**2 - v - 1. Solve g(l) = 0 for l.
-4, -2, 0, 1
Let p(b) be the second derivative of 4*b**7/33 + 223*b**6/165 - 439*b**5/55 + 631*b**4/66 + 40*b**3/33 - 4*b**2 + b - 240. Suppose p(z) = 0. What is z?
-11, -1/4, 2/7, 1, 2
Suppose -78*c + 86*c - 80 = 0. Find a, given that -12*a - 4*a**2 + 46 + a**2 - c = 0.
-6, 2
Let r(g) = -166*g**2 - 9548*g + 9668. Let q(c) = -18*c**2 - 1061*c + 1074. Let b(u) = 92*q(u) - 10*r(u). Solve b(p) = 0 for p.
1, 532
Suppose 66*j - 81*j + 75 = 0. Let h be -4*(j/(-40) - (-5)/200). Factor 2/5*a**3 + 6/5*a**2 + h + 6/5*a.
2*(a + 1)**3/5
Let b(h) be the third derivative of h**6/120 - 3*h**5/20 - 3*h**4/2 + h**3/2 + 9*h**2 + 1. Let j be b(12). Factor -p**2 - p + 0 - 1/4*p**j.
-p*(p + 2)**2/4
Let s = -23 - -11. Let a be ((-40)/s)/((-3)/(-9)). Let 20*b - 16 - 7 + 10*b**2 - a - 5*b**3 - 7 = 0. Calculate b.
-2, 2
Let a(q) = 3*q**2 + 254*q - 217. Let l(p) = 30*p**2 + 2559*p - 2169. Let g(h) = -21*a(h) + 2*l(h). Let g(u) = 0. What is u?
-73, 1
Let s(c) be the first derivative of -c**8/1176 + c**7/245 + 5*c**2/2 + 3*c - 33. Let h(v) be the second derivative of s(v). Factor h(j).
-2*j**4*(j - 3)/7
Let b be 42/(-4)*((-915)/(-45) - 21) + -7. Find g, given that 1/4 - 1/4*g**2 + b*g = 0.
-1, 1
Let o be (360/240)/((-3)/(-8)). Let d(h) be the first derivative of -2 + 1/4*h**o + 2/3*h**3 + 0*h - 3/2*h**2. Find q, given that d(q) = 0.
-3, 0, 1
Let l(j) be the third derivative of -107*j**7/630 + 317*j**6/180 - 103*j**5/15 + 95*j**4/9 + 32*j**3/9 + j**2 - 10*j + 27. Determine s so that l(s) = 0.
-8/107, 2
Let m(v) be the third derivative of v**7/945 + v**6/180 - 239*v**5/270 - v**4/36 + 238*v**3/27 - 6152*v**2. Let m(q) = 0. Calculate q.
-17, -1, 1, 14
Let b(v) be the first derivative of v**3/3 + 526*v**2 + 276676*v + 4071. Determine u so that b(u) = 0.
-526
Let a(h) = 9*h**3 - 2*h. Let t(v) = -4*v**4 - 2688*v**3 - 465803*v**2 + 351566*v + 116964. Let f(i) = -20*a(i) + 4*t(i). Determine m, given that f(m) = 0.
-342, -1/4, 1
Let y(w) = w**3 - 7*w**2 - 9*w + 12. Let i be y(8). What is t in 0*t**i - 2420*t + 2410*t + 15*t**2 - 5*t**4 = 0?
-2, 0, 1
Let x(b) be the third derivative of -b**8/672 + b**7/105 + b**6/20 - 9*b**5/20 - 9*b**4/16 + 27*b**3/2 + 12*b**2 - 146*b. What is g in x(g) = 0?
-3, -2, 3
Let a be ((-19)/(-4)*-1)/((-54)/(-5544)). Let h = a - -493. Determine w so that -32/9 - 2*w**2 - 2/9*w**3 - h*w = 0.
-4, -1
Let f(n) = 58*n**2 + 840*n + 830. Let h(u) = -49*u**2 - 840*u - 831. Let x(j) = -5*f(j) - 6*h(j). Factor x(y).
4*(y + 1)*(y + 209)
Let p(y) be the second derivative of 19*y**6/5 - 203*y**5/10 + 103*y**4/3 - 52*y**3/3 - 8*y**2 + 6881*y. Solve p(r) = 0.
-2/19, 2/3, 1, 2
Let f be (55/5)/(-44) + 1/4. Let i(z) be the first derivative of f*z**2 - 5/3*z**3 + 20*z + 19. Let i(b) = 0. What is b?
-2, 2
Let s = -6036 + 6036. Let u(y) be the third derivative of 0*y**3 + s*y - 4/21*y**7 + 0 - 5/336*y**8 - 15/8*y**4 - 7*y**2 - 11/12*y**6 - 2*y**5. Solve u(o) = 0.
-3, -1, 0
Let n(m) be the third derivative of m**5/30 - 47*m**4 + 26508*m**3 + 86*m**2 + 4*m. Let n(u) = 0. What is u?
282
Let r(b) be the third derivative of b**8/1008 - 2*b**7/105 + 2*b**6/45 + 7*b**5/30 - 17*b**4/72 - 5*b**3