 -3/8*l**2 + 15/8*l**n + 0 + 0*l.
3*l**2*(5*l - 1)/8
Let r(d) be the third derivative of -d**6/480 + d**5/10 - 17*d**4/96 - 23*d**3/4 + d**2 + 33*d - 87. Factor r(j).
-(j - 23)*(j - 3)*(j + 2)/4
Let z(x) = x**3 - 9*x**2 - 17*x - 2. Let o be z(10). Let l = o + 120. What is i in -6*i**2 + l*i + 39 - 183 + 2*i**2 = 0?
6
Let b(d) be the third derivative of d**7/42 - 19*d**5/6 + 15*d**4 - 175*d**3/6 - 3637*d**2. Factor b(a).
5*(a - 5)*(a - 1)**2*(a + 7)
Let p(x) be the first derivative of 17 + 1/10*x**4 + 9/5*x**2 - 8/5*x - 4/5*x**3. Solve p(s) = 0.
1, 4
Let v(g) be the third derivative of g**6/30 - 108*g**5/5 + 323*g**4/6 + 6256*g**2. What is r in v(r) = 0?
0, 1, 323
Let m(o) = -2*o**3 - 1551*o**2 - 296474*o - 294951. Let a(g) = g**3 + 775*g**2 + 148236*g + 147474. Let d(q) = 13*a(q) + 6*m(q). Find x, given that d(x) = 0.
-384, -1
Let a = -9270 + 250297/27. Let t(v) be the second derivative of -a*v**3 + 1/27*v**4 - 2/9*v**2 + 7/90*v**5 + 0 + 6*v. Determine o, given that t(o) = 0.
-1, -2/7, 1
Let g(j) = 10 + 18 + 3*j**3 - 20*j**2 + 13 - 13 + 5*j**3. Let r(f) = 5*f**3 - 19*f**2 - f + 27. Let y(n) = -3*g(n) + 4*r(n). Find k such that y(k) = 0.
-3, -2, 1
Suppose 5*u + 6 = -3*j, u + 28 = j + 30. Suppose 0 = -h - 2*i - 3, -27*h + 24*h + 5*i + 24 = 0. Solve u*k + 0 - 1/5*k**4 - 64/5*k**2 - 16/5*k**h = 0 for k.
-8, 0
Let b = 240 + -237. Suppose -4*z - y + 43 = 2*y, -2*z - y + 21 = 0. Solve 5*s**b - z*s - 5*s**2 + 5 - 17*s + 22*s = 0 for s.
-1, 1
Let o(f) be the second derivative of 65 - 1/40*f**5 + 9/4*f**2 + f - 1/4*f**3 - 5/24*f**4. Let o(l) = 0. What is l?
-3, 1
Let k(j) be the first derivative of 2*j**5/5 - 50*j**4 + 964*j**3/3 - 668*j**2 + 570*j - 2009. Factor k(p).
2*(p - 95)*(p - 3)*(p - 1)**2
Let -18050 - 169*d + 2*d**2 + 9334 + 17*d + 9556 = 0. What is d?
6, 70
Let a(r) = 2*r - 3. Suppose -y + 24 = 3*f - 5*y, 0 = -4*f + 2*y + 22. Let o be a(f). Factor 2/7*j + 2/7 - 4/7*j**2 + 2/7*j**4 - 4/7*j**3 + 2/7*j**o.
2*(j - 1)**2*(j + 1)**3/7
Let i be 60/(-9) - 30160/(-4290). What is w in 2/11*w**3 - 2/11*w + i*w**2 - 4/11 = 0?
-2, -1, 1
Let d(w) = 16*w - 7 - 10*w - 5*w. Let v be d(11). Factor -2*z**3 - 39*z**v - 2*z**5 + 25*z**4 + 18*z**4.
-2*z**3*(z - 1)**2
Let z(b) be the second derivative of -623045*b**4/12 + 3530*b**3 - 90*b**2 - 29*b - 113. Factor z(y).
-5*(353*y - 6)**2
Let n be (-4)/40 - 194/(-140). Let i = n - -151/35. Let 2/5*q**2 + 98/5 - i*q = 0. Calculate q.
7
Let a(p) = -11*p + 555. Let y be a(51). Let g be 8/10*((-13)/(-2) + y). Find m such that 18/5*m**2 + g*m**3 + 54/5*m + 54/5 = 0.
-3
Let a(m) be the third derivative of 13/204*m**4 + 3/170*m**5 + 3*m**2 + 2/17*m**3 - 33*m + 0 + 1/510*m**6. Factor a(l).
2*(l + 1)*(l + 2)*(2*l + 3)/17
Let l(g) be the third derivative of 2*g**3 + 12*g**2 + 4*g + 1/112*g**8 - 1/35*g**7 - 1/5*g**6 + 7/8*g**4 - 1/10*g**5 + 0. Factor l(t).
3*(t - 4)*(t - 1)*(t + 1)**3
Let b(c) be the first derivative of -534*c**2 + 75/4*c**4 - 152 - 216*c - 430*c**3. Suppose b(p) = 0. What is p?
-2/5, 18
Suppose 2*x - 3*r - 7 = 0, -6*r = 4*x - 4*r - 6. Suppose 0 = x*v - 4, 4*s + 22 = v + 160. Factor 19*n + n**2 - s + 2*n**2 + 11*n + 110.
3*(n + 5)**2
Let d(q) be the third derivative of q**5/20 - 13*q**4/8 + 15*q**3 + 183*q**2 - 1. What is w in d(w) = 0?
3, 10
Let b(s) = -42*s + 27. Let h be b(-2). Determine v so that -40*v**2 - 6*v - 34 + 5*v**3 - 11 - 45 + h*v = 0.
2, 3
Let n be 64/288 - ((-483)/(-115))/(29/(-10) + 2). Solve -92/9*z - 8/9*z**2 - n = 0 for z.
-11, -1/2
Let f be (6/1336)/((1242/(-8160))/(-23)). Let z = f - 2/167. Suppose -z + 8*u**2 + 8*u**5 - 28/3*u**3 - 22/3*u**4 + 4/3*u = 0. Calculate u.
-1, -1/3, 1/4, 1
Let j(r) be the third derivative of -r**7/105 - 5*r**6/4 - 369*r**5/10 + 11767*r**4/12 - 2*r**2 + 6449*r. Factor j(v).
-2*v*(v - 7)*(v + 41)**2
Let q(n) be the second derivative of 0 + 6*n + 1/21*n**7 + 0*n**2 - 16/3*n**4 - 2/3*n**6 + 4*n**3 + 29/10*n**5. Let q(f) = 0. What is f?
0, 1, 2, 6
Let z(t) be the first derivative of 5*t**3/3 + 45*t**2/2 - 560*t - 2448. Suppose z(s) = 0. What is s?
-16, 7
Find q, given that -905*q**3 - 1161*q**2 + 2180*q + 11*q**4 - 65*q**4 + 7493*q**3 - 242 - 5391*q**2 = 0.
1/3, 121
Let t be -16*3/360 - (-5)/(75/8). Let x(m) be the second derivative of 1/30*m**4 - 33*m + 0 + t*m**2 - 1/5*m**3. What is i in x(i) = 0?
1, 2
Let h = -338820 + 338822. Factor 0 - 8/3*u**h + 2/9*u**3 - 26/9*u.
2*u*(u - 13)*(u + 1)/9
Suppose 524/17*a**4 + 10/17*a**5 + 6962/17*a**3 - 4056/17*a + 2392/17*a**2 + 0 = 0. Calculate a.
-26, -1, 0, 3/5
Factor 14/9*k**3 - 2/9*k**4 + 0 + 10/9*k - 22/9*k**2.
-2*k*(k - 5)*(k - 1)**2/9
Let w(z) be the first derivative of z**6/12 - 192*z**5/5 + 191*z**4/4 + 64*z**3 - 383*z**2/4 + 5889. Let w(l) = 0. Calculate l.
-1, 0, 1, 383
Let o(z) = -13*z - 13. Let g be o(-1). Factor g*q + 3*q**3 + 32 + 18*q**2 - 3*q - 50.
3*(q - 1)*(q + 1)*(q + 6)
Let c(p) be the first derivative of -p**7/126 + p**6/72 + p**5/9 - 5*p**4/18 - 93*p**2/2 + 39. Let g(h) be the second derivative of c(h). What is y in g(y) = 0?
-2, 0, 1, 2
Let j be (2 + -1)/(3/2 - 1). Let w be 5 - (1/j*2 + 0). Let 336*r**w + 42*r**2 - 70*r**2 - 12 + 132*r - 431*r**2 + 408*r**3 = 0. What is r?
-2, 1/4, 2/7
Let z = 19/46 - -2/23. Let j = -1552348 - -1552348. Find m, given that j + 0*m**3 - 1/2*m**2 + 0*m + z*m**4 = 0.
-1, 0, 1
Let v(x) = x**3 + 9*x**2 + 10*x - 6. Let z be v(-8). Let w = -19 - z. Factor -7/3*r**w + 0 - 5/3*r**4 + 4/3*r + 8/3*r**2.
-r*(r - 1)*(r + 2)*(5*r + 2)/3
Suppose -28 = -9*k - 38 + 55. Let m(v) be the first derivative of 1/57*v**6 - 1/19*v**2 - 4/57*v**3 + 24 + 4/95*v**k + 0*v**4 + 0*v. Let m(j) = 0. Calculate j.
-1, 0, 1
Find r, given that 27*r**3 + 27*r**3 + 194*r**4 - 578*r**2 - 60*r**3 + 2*r**5 + 388*r = 0.
-97, -2, 0, 1
Let l(b) be the first derivative of b**6/3 - 4*b**5/45 - 19*b**4/2 + 616*b**3/27 - 20*b**2/3 - 7543. Determine h so that l(h) = 0.
-5, 0, 2/9, 2, 3
Determine y so that -58/15*y**2 + 2/15*y**3 - 392/15 + 448/15*y = 0.
1, 14
Suppose 78/23*q**3 + 0 + 10/23*q**4 - 16/23*q - 8/23*q**5 + 44/23*q**2 = 0. Calculate q.
-2, -1, 0, 1/4, 4
Let k(t) be the second derivative of t**6/300 - 63*t**5/100 + 359*t**4/40 - 706*t**3/15 + 468*t**2/5 - 2684*t. What is x in k(x) = 0?
1, 4, 117
Suppose y - 61 + 222 = -4*v, -3*v - 129 = -2*y. Let c = v + 45. Find h, given that -20*h**3 + 8*h**2 + 20*h**2 - 5*h**c - 48*h**2 = 0.
-2, 0
Let v = 6 - 4. Let g(r) = 17*r**2 - 1495*r. Let x be g(0). Factor 1/4*w**4 + 1/4*w**3 - 1/4*w**v + 0*w + x - 1/4*w**5.
-w**2*(w - 1)**2*(w + 1)/4
Let -676/9*o + 446/9*o**2 + 4/9*o**3 + 226/9 = 0. What is o?
-113, 1/2, 1
Let p(y) be the first derivative of 5*y**4/16 + 125*y**3/12 - 205*y**2/4 + 70*y + 1074. Factor p(x).
5*(x - 2)*(x - 1)*(x + 28)/4
Let z(i) be the first derivative of 400*i - 133 - 76/3*i**3 - 160*i**2 - i**4. Factor z(f).
-4*(f - 1)*(f + 10)**2
Let w = 369 - 238. Solve 288*a - 21 - 89*a - 3*a**3 - 27*a**2 - w*a - 113*a = 0 for a.
-7, -1
Let t(p) be the first derivative of -p**4/12 + 4*p**3/3 - 6*p**2 + 64*p - 63. Let k(c) be the first derivative of t(c). Let k(g) = 0. Calculate g.
2, 6
Let c(y) be the second derivative of -y**5/5 + 7*y**4 + 92*y**3/3 + 2*y - 2668. Factor c(x).
-4*x*(x - 23)*(x + 2)
Determine j, given that -18*j + 35/2 + 1/2*j**2 = 0.
1, 35
Factor 2*y**3 - y**3 + 1095*y - 7*y**3 + 3150 + 3*y**3 + 96*y**2 + 90*y.
-3*(y - 42)*(y + 5)**2
Let f(x) be the second derivative of 3/5*x**3 + 27/10*x**2 + 1/20*x**4 + 51*x + 0. Factor f(q).
3*(q + 3)**2/5
Let u(f) be the second derivative of 5/168*f**7 - 5/24*f**6 + 0*f**2 - 5/4*f**3 + 5/16*f**5 + 0 - 63*f + 25/48*f**4. Suppose u(m) = 0. Calculate m.
-1, 0, 1, 2, 3
Let a be (-141)/(-5) - (-1935 - -1960). Factor -a*m**2 + 16/5 - 4/5*m**3 + 4/5*m.
-4*(m - 1)*(m + 1)*(m + 4)/5
Factor -13760/13*g**3 - 3888/13*g**2 - 14/13 - 436/13*g - 17152/13*g**4.
-2*(4*g + 1)**3*(134*g + 7)/13
Let o(l) be the first derivative of -l**4/16 + 7*l**3/6 - 3*l**2 - 5935. Factor o(m).
-m*(m - 12)*(m - 2)/4
Let d be (-204)/(-14) + ((-14840)/795)/((-8)/(-6)). Factor -12/7*w + 0 - d*w**3 - 16/7*w**2.
-4*w*(w + 1)*(w + 3)/7
Let t(f) be the second derivative of f**8/112 - f**7/35 - 7*f**6/40 + f**5 - 3*f**4/2 + 84*f**2 + 83*f. Let d(x) be the first derivative of t(x). Factor d(o).
3*o*(o - 2)**2*(o - 1)*(o + 3)
Let v(z) be the second d