+ 11*d**6/40 - 63*d**5/40 + d**4/4 + 7*d**3 + 135*d - 4. Solve w(n) = 0.
-14, -1, 0, 2
What is x in -576/5 - 524/5*x**4 + 220*x**2 - 3072/5*x + 22/5*x**5 + 610*x**3 = 0?
-1, -2/11, 1, 12
Let q(k) be the third derivative of 1/20*k**5 + 5 - 1/4*k**4 + 0*k + 2/3*k**3 + 11*k**2 - 1/240*k**6. Factor q(j).
-(j - 2)**3/2
Let o be -5 - 4/(-16)*-8. Let m be o/(-1) - (2 - 1) - 4. Solve 1/2*t**m + 0 + 3/2*t = 0.
-3, 0
Suppose 19*w = 18*w + 2. Let y(l) = -l**2 + 6. Let t be y(w). Factor -4*k**t + k + 24*k**3 - 28*k**3 + 4 + 3*k.
-4*(k - 1)*(k + 1)**2
Let c be (-106)/(-27) + (-45 - (-41378)/918). Solve -10/7*k + 2/7*k**c + 0 - 18/7*k**2 - 6/7*k**3 = 0.
-1, 0, 5
Factor 9/2*r**4 + 22 + 159/2*r**2 + 141/2*r + 71/2*r**3.
(r + 1)**3*(9*r + 44)/2
Factor -1/5*q**2 + 153/5 - 8/5*q.
-(q - 9)*(q + 17)/5
Let r(q) = -81*q - 18385. Let h be r(-227). Find a such that -10/7*a**3 - 6/7*a**h - 2/7*a**4 + 0 + 0*a + 2/7*a**5 = 0.
-1, 0, 3
Suppose 456 = 3*b + 441. Suppose -b = 3*w - 5*m, 0 = -3*w - 4*m - m + 5. Suppose w - 1/4*p**3 - 1/2*p + 3/4*p**2 = 0. Calculate p.
0, 1, 2
Suppose 2*i = o - 1 + 14, 30 = 3*i - 5*o. Find b such that -48*b**2 - 18*b + 171*b**3 - 10*b + 39*b**i + 16*b - 155*b**4 + 5*b**4 = 0.
-2/13, 0, 1, 2
Let z = -5054 - -5058. Let y(a) be the first derivative of z*a**2 + 0*a - 4/3*a**3 - 22. Factor y(x).
-4*x*(x - 2)
Let d(k) = 5*k**2 - 3. Let i(h) = h**2 - 13*h + 17. Let f be i(12). Let u(a) = -8*a**2 + a + 5. Let b(s) = f*d(s) + 3*u(s). What is g in b(g) = 0?
-3, 0
Let h(n) = 2*n**3 - n**2 - 119*n - 170. Let m(s) = 4*s**3 + s**2 - 239*s - 338. Let c(j) = 7*h(j) - 3*m(j). Solve c(y) = 0.
-4, -2, 11
Solve 2/23*s**4 - 12/23*s**3 - 48/23 + 52/23*s + 6/23*s**2 = 0 for s.
-2, 1, 3, 4
Let w(b) be the third derivative of b**5/300 + 401*b**4/30 + 321602*b**3/15 + 7*b**2 - 3*b + 205. Find q such that w(q) = 0.
-802
Let k(y) be the first derivative of -y**6/3420 + y**5/228 + 7*y**4/114 - 4*y**3/3 + 3*y**2/2 - 72. Let l(o) be the third derivative of k(o). Factor l(h).
-2*(h - 7)*(h + 2)/19
Let g(c) be the first derivative of -4*c**4 + 1/3*c**6 - 122 + 8*c**3 - 2/5*c**5 + 0*c + 0*c**2. Factor g(o).
2*o**2*(o - 2)**2*(o + 3)
Suppose 3*c - k - 3*k = 28, 2*c = k + 12. Let l be (-12)/((-648)/102) - (-2)/18. Let 2*u**3 + 0*u**4 + 8*u**4 - 2*u**l - 7*u**c + 3*u**2 = 0. Calculate u.
-1, 0
Let d = 217690 + -2394572/11. Let -10/11 + d*n + 4/11*n**2 = 0. What is n?
-5, 1/2
Let x(r) be the first derivative of 5*r**6/27 - 2*r**5/45 - 85*r**4/9 - 892*r**3/27 - 73*r**2/3 + 14*r - 2593. Let x(c) = 0. What is c?
-3, -1, 1/5, 7
Let n = 13 - 9. Suppose -g + 4*s + n = -16, 0 = -3*g - 2*s + 4. Let 8*k**2 + 93*k**5 - 8*k**3 - 89*k**5 - g*k**3 = 0. What is k?
-2, 0, 1
Let n be (-21)/28*212/(1 + -2). Factor -316*y + n*y + 28*y**2 + 153*y - 18*y**3 - 126*y**4 + 5*y**3 - 81*y**5.
-y*(y + 1)**2*(9*y - 2)**2
Factor 18*r + 2/7*r**3 - 34/7*r**2 + 162/7.
2*(r - 9)**2*(r + 1)/7
Suppose -1073*d - 1 + 9 + 1 = 9. Suppose d*y**2 - 4/9*y**5 + 4/9*y**3 + 0*y + 0 + 0*y**4 = 0. Calculate y.
-1, 0, 1
Let z(h) be the second derivative of -h**7/63 + 2*h**6/45 + 19*h**5/30 - 4*h**4/9 - 20*h**3/3 + 457*h. Determine g so that z(g) = 0.
-3, -2, 0, 2, 5
Let a = -14270 + 71439/5. Factor a*b**3 - 1/5*b**4 + 0 - 387*b**2 - 405*b.
-b*(b - 45)**2*(b + 1)/5
Let y be -2 - ((-10)/5*-2 + -8). Let u(n) be the first derivative of 8/7*n**y + 12/7*n - 15 + 4/21*n**3. Factor u(r).
4*(r + 1)*(r + 3)/7
Let d(n) be the third derivative of -2*n**7/105 - 13*n**6/30 - 2*n**5 + 2*n**4/3 + 80*n**3/3 + 22*n**2 + 13. Factor d(g).
-4*(g - 1)*(g + 2)**2*(g + 10)
Let b(h) = -134941*h + 404825. Let z be b(3). Find g, given that -153/2*g + 105/2*g**z + 27 = 0.
3/5, 6/7
Let j be 828/(-56) - 0 - 4. Let q = -128/7 - j. Factor -3/2 - 2*c - q*c**2.
-(c + 1)*(c + 3)/2
Let f be (-3*4/(-36))/(95/171). Let s(j) be the first derivative of 12 + 4/5*j + f*j**2 + 2/15*j**3. Factor s(w).
2*(w + 1)*(w + 2)/5
Let n(f) be the third derivative of -1/24*f**5 + 91*f**2 + 0*f + 10/3*f**3 + 5/24*f**4 + 1. Factor n(b).
-5*(b - 4)*(b + 2)/2
Let y(o) be the first derivative of -44 - 2/27*o**3 + 1/9*o**2 + 8/3*o. Suppose y(h) = 0. Calculate h.
-3, 4
Let p be 54351/1464*(0 + 8/6). Let p*q**2 + 384 - 3/2*q**3 - 432*q = 0. Calculate q.
1, 16
Let j(m) be the second derivative of -m**4/60 + m**3/10 + 54*m**2/5 + 4786*m. Find l, given that j(l) = 0.
-9, 12
Let o(m) = 76*m**2 - 2466*m + 752. Let u(i) = -25*i**2 + 821*i - 250. Let y(x) = 5*o(x) + 16*u(x). Factor y(w).
-2*(w - 40)*(10*w - 3)
Suppose 0 = 17*r - 18*r + 273. Let h = -273 + r. Factor -8/5*s**2 + 2/5*s**3 + h + 8/5*s.
2*s*(s - 2)**2/5
Suppose 4*i + 8 = 12, -v + 8 = 4*i. Let h be (2/(-7))/(360/(-1400)). Determine w so that 0 - 4/9*w + h*w**v + 4/9*w**3 - 10/9*w**2 = 0.
-1, -2/5, 0, 1
Let o = 28190 - 28187. Let s(v) be the second derivative of -4 - 19/6*v**3 + 3/20*v**5 + 11/12*v**4 + o*v + 5/2*v**2. Factor s(u).
(u - 1)*(u + 5)*(3*u - 1)
Let j(o) = 11*o**3 + 230*o**2 + 179*o + 37. Let d(w) = 2*w**2 + 5. Let f(l) = -33*d(l) + 3*j(l). Factor f(a).
3*(a + 1)*(a + 18)*(11*a - 1)
Suppose -3*w - 2*p = -174, 0 = -6*w + w + p + 277. Suppose -75 - 93 = -w*y. Let -16/9*k + 0 + 10/9*k**y - 4*k**2 = 0. Calculate k.
-2/5, 0, 4
Determine y, given that -1/5*y**4 - 126/5 - 217/5*y**2 + 47/5*y**3 + 297/5*y = 0.
1, 3, 42
Suppose -1004/7*r - 4/7*r**3 + 136/7*r**2 - 1144/7 = 0. What is r?
-1, 13, 22
Factor 11 - 2 + 80*x - 8 - 16*x**2 - x**3 - 1.
-x*(x - 4)*(x + 20)
Let v(j) be the third derivative of -j**7/1260 - 23*j**6/720 - 9*j**5/20 - 85*j**4/36 - 50*j**3/9 + 11*j**2 - 3*j + 2. Solve v(i) = 0 for i.
-10, -2, -1
Let r be (2/1)/(22/(-110)) + 2. Let g be ((-4)/10)/(-4 - r/5). Factor -7/6*f - 1/3 - 3/2*f**2 - 5/6*f**3 - g*f**4.
-(f + 1)**3*(f + 2)/6
Let y(i) be the first derivative of -i**6/3 - 36*i**5/5 - 61*i**4 - 760*i**3/3 - 525*i**2 - 500*i + 2339. Factor y(n).
-2*(n + 1)*(n + 2)*(n + 5)**3
Let f(l) be the third derivative of l**7/840 - l**6/360 - l**5/20 + 335*l**3/6 - l**2. Let d(m) be the first derivative of f(m). Factor d(w).
w*(w - 3)*(w + 2)
Factor -58/3*v - 14/3*v**3 - 52/3*v**2 - 20/3.
-2*(v + 1)*(v + 2)*(7*v + 5)/3
Let x = -839725/4 + 209933. Factor 5/8*n**2 + 0 - x*n + 1/8*n**3.
n*(n - 2)*(n + 7)/8
Find f, given that 1588*f**2 + 1260*f - 300*f**3 + 32*f**3 - 600*f**2 + 4*f**4 = 0.
-1, 0, 5, 63
Let k be -18*((-1446)/72 - (-22 - -2)). Suppose -9/2*x + k*x**2 + 3/2*x**4 - 3 + 9/2*x**3 = 0. What is x?
-2, -1, 1
Factor 660 - m**3 + 23*m**2 - 74*m**2 - 474*m + 13*m - 147*m.
-(m - 1)*(m + 22)*(m + 30)
Let w be (105/(-14) + 5)/(15/(-36)). Factor w*h - 7 - h + 0*h + 3*h - h**2.
-(h - 7)*(h - 1)
Let f(u) be the third derivative of 0*u**3 + 0 + 0*u**7 + 1/1680*u**8 + 19*u - 1/200*u**6 + 0*u**4 + 1/150*u**5 + 2*u**2. Let f(w) = 0. Calculate w.
-2, 0, 1
Let c(r) be the second derivative of 5/48*r**4 - 25/12*r**3 - 19*r - 55/8*r**2 + 7. Factor c(f).
5*(f - 11)*(f + 1)/4
Let f(l) be the first derivative of -l**6/360 + l**4/24 - l**3/9 + 93*l**2/2 - 138. Let w(n) be the second derivative of f(n). Determine s, given that w(s) = 0.
-2, 1
Find l such that -430*l**2 + 36*l + 4*l**4 - 60*l**3 - 144 + 24*l - 489*l**2 + 1059*l**2 = 0.
-1, 1, 3, 12
Let d(m) be the second derivative of m**6/360 + m**5/12 + m**4 - 63*m**3/2 - 92*m. Let f(k) be the second derivative of d(k). Determine t so that f(t) = 0.
-6, -4
Suppose -266*q + 312 - 253 + 1139 = 333*q. Factor 4/15*p**q - 2/15*p + 0*p**3 - 4/15*p**4 + 2/15*p**5 + 0.
2*p*(p - 1)**3*(p + 1)/15
Let t(o) = o**3 + 14*o**2 - 15*o + 4. Let i be t(-15). Let -28*n**2 - 100*n**2 + 326*n**4 + 32*n + 186*n**3 + 25*n**5 - 441*n**i = 0. Calculate n.
0, 4/5, 1, 2
Let u = -17925 + 17927. Let z(j) be the second derivative of 9/2*j**u + 1/12*j**4 + 2 - j + j**3. Factor z(x).
(x + 3)**2
Let b(g) be the second derivative of 15*g**4 - 2590*g**3 + 335405*g**2/2 + 25*g - 92. Factor b(p).
5*(6*p - 259)**2
Let i(w) be the third derivative of w**7/1050 - 13*w**6/600 + 43*w**5/300 - w**4/8 - 12*w**3/5 + 788*w**2. Find y such that i(y) = 0.
-1, 3, 8
Let a = -7424 - -7424. Let g(b) be the third derivative of 1/160*b**6 - 1/24*b**4 - 1/6*b**3 + 0*b + 1/48*b**5 - 23*b**2 + a. Suppose g(z) = 0. Calculate z.
-2, -2/3, 1
Determine t, given that -383*t + 20 - 403*t + 5*t**2 - 387*t + 1198*t = 0.
-4, -1
Let p = 853907 - 853903.