 Factor -x - 3/5*n**2 + 12/5*n.
-3*(n - 3)*(n - 1)/5
Let t(l) = l**2 + 4510*l + 4897381. Let q(d) = 14*d + 2. Let s(n) = -6*q(n) + t(n). Solve s(o) = 0 for o.
-2213
Let q(d) be the third derivative of d**8/2856 - 8*d**7/595 + 11*d**6/255 - 1071*d**2. Find o, given that q(o) = 0.
0, 2, 22
Let c(x) be the third derivative of -x**7/105 - 37*x**6/60 - 58*x**5/5 + 9*x**4 + 1296*x**3 - 2128*x**2. Find i such that c(i) = 0.
-18, -4, 3
Let s(m) be the third derivative of -2*m**7/945 - m**6/135 + 13*m**5/135 - 5*m**4/27 - 3035*m**2. Solve s(k) = 0.
-5, 0, 1, 2
Suppose 41 = -2*s + 3*x, x - 14 = 5*s - 9. Factor 0 - 36/7*l - 48/7*l**s + 20/7*l**3.
4*l*(l - 3)*(5*l + 3)/7
Let p(f) be the third derivative of f**7/2310 - f**6/1320 - f**5/165 + f**4/66 - 324*f**2 + 2. Find q such that p(q) = 0.
-2, 0, 1, 2
Suppose 0 = -q - 5*w + 47, 9*q - 7*q = 5*w + 34. Suppose -37*n + q*n = -30. Factor 18/7*d**n - 12/7 - 62/7*d - 32/7*d**2.
2*(d - 3)*(d + 1)*(9*d + 2)/7
Let f(u) be the second derivative of u**5/70 + 22*u**4/7 + 201*u**3 - 8978*u**2/7 - 70*u + 5. Factor f(c).
2*(c - 2)*(c + 67)**2/7
Let f(x) be the second derivative of 3*x**5/20 - 7*x**4/2 - 42*x**3 + 324*x**2 - 16*x + 65. Factor f(p).
3*(p - 18)*(p - 2)*(p + 6)
Let o(v) be the second derivative of v**5/100 - 23*v**4/15 - 31*v**3/10 - 4*v - 69. Factor o(y).
y*(y - 93)*(y + 1)/5
Factor -59*f**2 - 109*f**2 - 17*f**2 - 135*f + 25*f**4 + 1 - 21 - 45*f**3.
5*(f - 4)*(f + 1)**2*(5*f + 1)
Let l(a) = -a**3 - 22*a**2 - 43*a + 19. Let n be l(-21). Determine z, given that z**2 - 480 - 2*z**3 + z**5 + n - 3*z**2 + z**4 + z = 0.
-1, 1
Suppose w - 8*w - 27*w = 0. Let f(p) be the third derivative of 0*p + w*p**3 + 0 - 1/72*p**4 + 1/180*p**5 + 2*p**2. Factor f(t).
t*(t - 1)/3
Let a(m) be the first derivative of -m**4/20 + 2*m**3/5 + 2*m**2/5 - 24*m/5 + 1104. What is v in a(v) = 0?
-2, 2, 6
Let l = -10 - -13. Suppose -l*g = -15 - 0. What is h in 50*h**g - 29*h**2 + 12*h - 9*h**3 + 89*h**2 + 97*h**5 + 0*h**3 - 210*h**4 = 0?
-2/7, 0, 1
Factor -166/25*c**2 - 338/25*c - 34/5 + 2/25*c**3.
2*(c - 85)*(c + 1)**2/25
Suppose 24*a - 30*a + 24 = 0. Determine w, given that 3*w**3 + 1 - w**5 - 1 + 54*w - 156*w**2 + 111*w**2 + 5*w**a = 0.
-3, 0, 2, 3
Suppose -g - 12 = -4*g + 3*l, 0 = 4*g - 5*l - 18. Factor -61*b**2 + 43*b**2 - 42*b + 4 + g*b**3 - 26.
2*(b - 11)*(b + 1)**2
Let g be (-50)/(-30) - (-869)/33. Let w(v) be the first derivative of 0*v + 33 - 36*v**2 + 4/5*v**5 + g*v**3 - 8*v**4. Factor w(r).
4*r*(r - 3)**2*(r - 2)
Suppose 4 = -h + 2*h. Suppose 156*j - 85*j = 31 + 182. Determine y so that 4/3*y**j + 2/3*y - 2/3*y**h - 2/15 - 4/3*y**2 + 2/15*y**5 = 0.
1
Let -3*m**3 + 5*m + 86 - 175*m**2 + 89 - 2*m**3 = 0. Calculate m.
-35, -1, 1
Let z(h) be the first derivative of 27 + 0*h**2 + 0*h - 1/30*h**4 + 2/15*h**3. Find p, given that z(p) = 0.
0, 3
Let x be -2*132/(-160) - 1270/1016. Factor -6/5*h**2 + 6/5 + x*h**3 - 2/5*h.
2*(h - 3)*(h - 1)*(h + 1)/5
Suppose 2*d + 69 = 75. Let u = 757/4 - 188. Let -5/4*h**2 + u*h - 5/4*h**d + 5/4 = 0. Calculate h.
-1, 1
Let a = 100555 + -301661/3. Find m such that 1/3*m**5 + 4/3*m**3 + 0*m - a*m**4 + 0*m**2 + 0 = 0.
0, 2
Suppose 2*t = -9*t + 22. Suppose -r = -0*w + w - 28, t*w - 23 = -r. Let -4*d**2 + 9*d**2 - 27 + 0*d - r + 5*d = 0. Calculate d.
-4, 3
Let v(k) be the second derivative of -k**4/15 + 1168*k**3/15 - 170528*k**2/5 + 2260*k - 1. Determine u so that v(u) = 0.
292
Let u(l) be the first derivative of -l**4/42 - 464*l**3/7 - 484416*l**2/7 - 224769024*l/7 - 3821. What is k in u(k) = 0?
-696
Let b(g) = 4*g**2 - 94*g + 89. Let k(f) = -2*f**2 + 2*f + 1. Let h(y) = b(y) + k(y). Factor h(x).
2*(x - 45)*(x - 1)
Let l = -552175/124 - -4453. Let i = 6233/1364 + l. Factor -i - 2/11*o**2 + 20/11*o.
-2*(o - 5)**2/11
Suppose 4*j + 192*j = -64*j + j. Factor j + 7/3*b**4 - 16/3*b**2 + 5/3*b**3 + 4/3*b.
b*(b - 1)*(b + 2)*(7*b - 2)/3
Let a = 726102/5 + -145166. Suppose 56/5 + a*n - 18/5*n**3 + 86/5*n**2 = 0. What is n?
-2, -2/9, 7
Suppose -3458 = -7*k - 1120. Let y = k + -1637/5. Suppose -21/5*l**4 + 111/5*l**2 - 54/5 + y*l**3 - 6/5*l**5 - 63/5*l = 0. What is l?
-3, -1/2, 1, 2
Let c(y) be the third derivative of 0*y - 5/27*y**4 + 7/270*y**6 + 0 - 16/27*y**3 + 11/135*y**5 + 83*y**2. Find r such that c(r) = 0.
-2, -4/7, 1
Suppose 1 = n - 17. Suppose 2*m - 6 = n. Factor 2*c**4 + 20*c**2 - 29*c**2 + 27*c**2 + m*c**3.
2*c**2*(c + 3)**2
Let n = 2971/367440 + -6/1531. Let w(h) be the second derivative of 0*h**2 + 0*h**3 - n*h**6 + 0 + 1/336*h**7 + 1/96*h**4 - 7*h - 1/160*h**5. Factor w(m).
m**2*(m - 1)**2*(m + 1)/8
Let d(m) be the third derivative of m**8/840 + m**7/420 - m**6/90 - 5*m**3 - 81*m**2. Let l(x) be the first derivative of d(x). Factor l(q).
2*q**2*(q - 1)*(q + 2)
Let x = -403 + 109. Let i be x/(-135) + 3 + 25/(-9). Factor 0*j**3 + 0 + 4/5*j**4 - 8/5*j - i*j**2.
4*j*(j - 2)*(j + 1)**2/5
Let a(p) be the second derivative of p**4/72 - 53*p**3/9 + 208*p**2/3 + 2*p - 921. Factor a(w).
(w - 208)*(w - 4)/6
Let c be 2/6 + 3 + (-889)/(-42). Let o be 60/(-140) + 1 + (-20)/(-14). Factor 0 + 1/2*z**4 - 13/2*z**3 + 35/2*z**o + c*z.
z*(z - 7)**2*(z + 1)/2
Let y(m) = 5*m**4 + 454*m**3 - 2812*m**2 + 5666*m - 3792. Let c(j) = -j**4 + j**3 + 2*j**2 - j. Let o(x) = -2*c(x) - y(x). What is d in o(d) = 0?
-158, 2
Let j(n) = -83*n**2 - 4*n - 3. Let q be j(-1). Let d = 82 + q. Factor -y**2 + 3*y - 4*y + d*y + 6.
-(y - 2)*(y + 3)
Suppose -2*j - 62 = -4*j - 4*l, -203 = -5*j + 2*l. Suppose -j + 48 = 3*d. Let -153/2*r - 93/4*r**2 - 15/8*r**d - 27 = 0. Calculate r.
-6, -2/5
Suppose -5*o - 5*p = -185, -5*p + 15 = -0*p. Suppose -29*l - 35*l**3 + 39*l**2 + 53*l + 6*l**2 - o*l = 0. Calculate l.
0, 2/7, 1
Let w(f) = f**2 + 3*f - 52. Suppose 63*t - 61*t - 12 = 0. Let u be w(t). Factor -3/7 + 12/7*v - 9/7*v**u.
-3*(v - 1)*(3*v - 1)/7
Let 0 + 5/4*f**3 + 45/4*f**2 + 25*f = 0. What is f?
-5, -4, 0
Let h = -2/83227 - -1914227/249681. Let p be ((-1)/4)/((-21)/280). Suppose -h*z - 1/3*z**3 + p + 5*z**2 - 1/3*z**4 = 0. What is z?
-5, 1, 2
Let x(o) be the third derivative of -o**7/1470 - 17*o**6/840 + o**5/21 + 3*o**4/14 - 60*o**2 + 14. Suppose x(f) = 0. Calculate f.
-18, -1, 0, 2
Let p(y) be the second derivative of 383*y**5/60 + 767*y**4/36 + y**3/9 + 2*y - 1335. What is h in p(h) = 0?
-2, -1/383, 0
Determine l so that 567/10*l - 57/2*l**2 + 1/10*l**3 - 283/10 = 0.
1, 283
Let v(d) be the third derivative of -d**7/840 + 3*d**6/80 + 83*d**5/240 + 9*d**4/8 + 11*d**3/6 + 1271*d**2 + d. Factor v(o).
-(o - 22)*(o + 1)**2*(o + 2)/4
Let t(z) = z**2 - 16*z + 42. Let u be t(17). Let v = 88 - u. Solve 4*d**2 + v*d - 5*d - 4*d**2 - 20*d**2 - 48*d**3 - 4 = 0 for d.
-1, 1/4, 1/3
Let y be ((-90)/330)/((-51)/187). What is r in 19/4*r**2 - y - 9*r = 0?
-2/19, 2
Let p(f) be the first derivative of 2*f**3/75 + 132*f**2/25 - 536*f/25 + 535. Factor p(x).
2*(x - 2)*(x + 134)/25
Let p(n) = n + 17. Let i be ((-84 + -4)/(-4))/((-4)/2). Let o be p(i). Factor 19*q - 2*q**3 + o*q**2 - 3*q**4 - 3*q - 6*q + q**4 + 4.
-2*(q - 2)*(q + 1)**3
Let p(m) = -m**2 + 15*m - 22. Let b be p(11). Let c(l) = 2*l - 26. Let f be c(b). Suppose 4*i**4 - f*i**2 - 3*i**4 - 3*i**4 - 4*i**3 - 8*i**3 = 0. What is i?
-3, 0
Let h be ((-27)/18)/(8/(-32)). Let j(m) be the second derivative of 14*m - 3/11*m**2 + 0 + 0*m**3 + 1/11*m**4 + 0*m**5 - 1/55*m**h. Solve j(g) = 0 for g.
-1, 1
Suppose 6*y - 2*y - 26 = 5*i, -4*y - 34 = 5*i. Let h be (-2)/i*(-396)/(-110). Suppose -1/5*c**2 + c - h = 0. What is c?
2, 3
Let l(c) be the third derivative of -1/5*c**6 - 53*c**2 - 2*c + 1/84*c**8 + 8/15*c**5 + 0*c**7 + 0*c**3 - 1/2*c**4 + 0. Factor l(u).
4*u*(u - 1)**3*(u + 3)
Let v(j) be the first derivative of -3*j**5/4 + 130*j**4/3 - 4675*j**3/6 + 1445*j**2 - 164*j + 165. Let b(g) be the first derivative of v(g). Factor b(i).
-5*(i - 17)**2*(3*i - 2)
Factor 161*n - 52190*n**2 + 900 + 52194*n**2 + 39*n.
4*(n + 5)*(n + 45)
Let p be (-1)/(-13) + (-530)/130. Let j be (-4)/p + (-143)/187. Determine t, given that -2/17 + j*t - 2/17*t**2 = 0.
1
Let f = -1459079/7 - -208441. Solve 2/7*r**5 + 30/7*r**3 - 26/7*r**2 + f*r - 2*r**4 + 0 = 0 for r.
0, 1, 4
Let p be 24/(-12) + (-40)/156*(2 - 530/25). Factor -84/13*l + 2/13*l**3 + 0 + p*l**2.
2*l*(l - 2)*(l + 21)/13
Let o(b) be the second derivative of -b**6/180 + 17*b**5/120 - 7