 - 4/5*j**3.
-4*(j - 36)**3/5
What is x in 269*x**2 - 881*x**2 - 585*x - 926*x - 4*x**3 + 303*x = 0?
-151, -2, 0
Suppose -y + 7*y = 66. Let m = y - -4. Factor -c - 3*c**3 - 11*c - m*c - 7*c**2 - 11*c**2.
-3*c*(c + 3)**2
Let k(s) = 2*s**3 - 10*s**2 + 8*s - 3. Let w be k(4). Let v(o) = 5*o + 19. Let m be v(w). Factor 0*u**2 + 3/5*u**m + 0 + 3/5*u**3 + 0*u.
3*u**3*(u + 1)/5
Let j(g) be the third derivative of g**5/540 - 73*g**4/216 - 25*g**3/9 + 97*g**2 - 4. What is n in j(n) = 0?
-2, 75
Let l be (-344)/(-129) - 8/6. Let d(n) be the second derivative of -30*n - l*n**2 + 1/12*n**5 + 1/2*n**4 + 0 + 2/3*n**3. Solve d(z) = 0 for z.
-2, 2/5
Let 72 + 10*u + 1/3*u**2 = 0. What is u?
-18, -12
Let z(b) be the first derivative of 3*b**4/16 - 9*b**3/4 - 6*b**2 + 45*b + 666. Factor z(o).
3*(o - 10)*(o - 2)*(o + 3)/4
Suppose 30 = 5*d - b, 0*d + 4*b - 6 = -d. Suppose 2*f = -6, 7*g - 3 = d*g + f. Factor 1/10*t**2 - 1/10*t + g.
t*(t - 1)/10
Let u = -48523/15 - -3235. Let r(l) be the first derivative of 0*l + 8/9*l**3 + 5/6*l**4 + u*l**5 + 0*l**2 - 15. What is s in r(s) = 0?
-4, -1, 0
Let o = -79 + 95. Determine d, given that 2*d**4 - 6*d**3 + 5*d**4 - 5*d**2 - 13*d**2 + 3*d**5 + o + 2*d**4 - 7 + 3*d = 0.
-3, -1, 1
Let g(k) be the first derivative of -k**8/140 + k**7/42 - k**6/45 + 74*k**3/3 + 144. Let p(d) be the third derivative of g(d). Factor p(s).
-4*s**2*(s - 1)*(3*s - 2)
Suppose 5*c**5 + 40*c**4 + 125*c**3 - 383*c + 443*c - 10*c**3 + 140*c**2 = 0. Calculate c.
-3, -2, -1, 0
Let s be 4*(-4)/((-112)/91). Suppose 0 = -s*g + 4*g - 3*g. What is v in 6/5*v - 6/5*v**3 - 8/5*v**4 + 8/5*v**2 + g = 0?
-1, -3/4, 0, 1
Let 294 + 2664*q + q**2 - 1217*q - 1346*q = 0. What is q?
-98, -3
Let f(o) be the second derivative of -8 + 0*o**3 + o**4 - 1/15*o**6 + 1/10*o**5 - o + 0*o**2. Factor f(q).
-2*q**2*(q - 3)*(q + 2)
Let q = -46 + -12. Let w = q - -60. What is p in 5*p**2 - 38*p**5 + 43*p**5 + 7*p**w - 2*p**2 + 20*p**4 + 25*p**3 = 0?
-2, -1, 0
Let j = 428308/499611 + -10/71373. Solve 3/7*o**5 - 12/7*o**2 - 6/7*o**3 + 3/7*o + j*o**4 + 6/7 = 0.
-2, -1, 1
Let j(v) be the first derivative of -12 - 4/3*v**2 - 1/9*v**3 + 0*v. Factor j(n).
-n*(n + 8)/3
Let l = -92981 - -92997. Solve 30*u**2 + 46*u**3 + l*u**4 + 7/2*u - 1 = 0.
-2, -1/2, 1/8
Solve 16032*r + 16102*r - 3*r**2 - 32035*r + 102 = 0 for r.
-1, 34
Let x be -6 + (1309/(-441) - -9 - 3/(-27)). What is a in -4/7*a + 1/7*a**3 + 4/7 - x*a**2 = 0?
-2, 1, 2
Suppose -o - r = 3, r + 0*r + 10 = -2*o. Let n(d) = -d**2 - 8*d - 5. Let g be n(o). Factor 174 - t**g + 2*t - t - 172.
-(t - 2)*(t + 1)
Let p(g) be the third derivative of -g**5/150 - 13*g**4/30 + 8*g**3 + 28*g**2 + 3*g + 2. Let p(l) = 0. What is l?
-30, 4
Let h be (-12)/(56/(-2 - 12)). Solve -8/5*c**h + 6/5*c**2 + 1/5*c**4 + 8*c + 5 = 0 for c.
-1, 5
Suppose 5511 + 3937 = 8*t. What is w in -1182 + 2363 - 3*w**2 - 54*w - t = 0?
-18, 0
Factor m**2 + 3*m**2 + m**2 - 31 + 66*m + 382 - 2*m**2.
3*(m + 9)*(m + 13)
Let l = -117 - -117. Let h be (12/(-8) - l)*(-12 + -6). Factor 39*d - h*d + 4*d**2 + 0*d**2.
4*d*(d + 3)
Let v be 4*9/810*(-29)/((-609)/4935). Factor -92/9 - 2/9*f**2 - v*f.
-2*(f + 1)*(f + 46)/9
Let f(r) be the third derivative of -r**6/72 + r**5/12 + 29*r**3/6 + r**2 - 39*r. Let c(t) be the first derivative of f(t). Solve c(a) = 0.
0, 2
Let q(s) = s**2 - s - 1. Let x(u) = 5*u**3 - 86*u**2 + 296*u - 284. Let n(t) = -2*t**2 + 10*t + 29. Let h be n(7). Let z(a) = h*x(a) - 4*q(a). Solve z(i) = 0.
2, 14
Let g(i) be the second derivative of -5*i**7/42 - 7*i**6/3 - 3*i**5 + 35*i**4/6 + 65*i**3/6 - 1488*i - 2. Suppose g(b) = 0. Calculate b.
-13, -1, 0, 1
Let t = 19 + -17. Suppose -2*s**2 - 4*s**2 - 60*s + 180 - 2*s**2 + 13*s**t = 0. Calculate s.
6
Let m = -528 + 531. Factor -h - 4*h**2 + 0*h**3 + 2*h**3 + m*h**3 - 1 - 4*h**3 + 5.
(h - 4)*(h - 1)*(h + 1)
Let c(y) be the second derivative of 13*y**7/147 - 56*y**6/15 + 523*y**5/10 - 5347*y**4/21 + 10348*y**3/21 - 1352*y**2/7 - 16*y + 9. What is q in c(q) = 0?
2/13, 2, 13
Let q be (-36)/(-5)*((-130)/7 + 20). Factor -q - 4/7*b**2 + 36/7*b.
-4*(b - 6)*(b - 3)/7
What is o in -6/11*o**3 + 30/11*o - 2/11*o**4 + 0 + 26/11*o**2 = 0?
-5, -1, 0, 3
Let i(p) = 32*p**2 - 99*p + 13. Let c be i(3). Let s(f) be the third derivative of 0*f**c + 0*f**3 - 9*f**2 + 1/20*f**6 + 0 + 1/30*f**5 + 0*f. Factor s(x).
2*x**2*(3*x + 1)
Let x(k) be the second derivative of -2*k**7/63 - 8*k**6/15 - 51*k**5/20 + 61*k**4/36 + 61*k**3/2 - 135*k**2/2 - 2033*k. What is s in x(s) = 0?
-5, -9/2, 1
Let k = -567 + 581. Let k*i**2 - 4*i**2 - 10*i**3 - 4*i**2 + 12*i**3 + 4*i = 0. What is i?
-2, -1, 0
Suppose -a + 35 = 11. Suppose -8*c + a = -2*c. Determine z so that 4*z**2 - 11*z**4 + 2*z**3 + 0*z**2 + 9*z**c = 0.
-1, 0, 2
Let k(p) = 4*p**3 + p**2 + p - 1. Let h be k(1). Factor 34*m**2 - 115 + h*m + 125*m**3 - 84*m**2 + 115.
5*m*(5*m - 1)**2
Factor 1254/7*u**2 + 720*u + 5048/7 - 2/7*u**3.
-2*(u - 631)*(u + 2)**2/7
Find a, given that 2266*a**2 + 40 + 24027*a**4 + 774*a**2 + 245*a**5 - 4090*a**3 - 635*a - 22627*a**4 = 0.
-8, 1/7, 1
Let d be ((-16)/(-8))/((-1)/(-327)). Let c = -650 + d. What is z in -c*z**3 + 26/3*z**2 + 2/3*z**4 - 8*z + 8/3 = 0?
1, 2
Let d = 4/114469 + 228894/1259159. Solve -72/11*l**3 + 96/11*l**2 - 26/11*l + d = 0 for l.
1/6, 1
Factor 8*a + 1/5*a**2 + 231/5.
(a + 7)*(a + 33)/5
Let u(q) be the first derivative of -q**6/21 + 4*q**5/7 - 17*q**4/14 - 80*q**3/21 + 12*q**2 - 5463. Suppose u(m) = 0. What is m?
-2, 0, 2, 3, 7
Let u be (2 - 6/(-9)) + (-2)/(-6). Factor -8*w**3 - 19*w + 35*w**3 + 7*w**2 + 5*w - 28*w**u + 8.
-(w - 4)*(w - 2)*(w - 1)
Suppose -56 = 66*r - 188. Let y(p) be the second derivative of 4*p - 2/21*p**7 + 2/5*p**5 + 0 - 2*p**r - 2/3*p**3 - 2/15*p**6 + 2/3*p**4. Factor y(s).
-4*(s - 1)**2*(s + 1)**3
Let x(b) be the second derivative of -5*b**7/7 - 19*b**6/6 + 87*b**5/4 - 145*b**4/4 + 95*b**3/6 + 15*b**2 - 99*b. Determine n, given that x(n) = 0.
-6, -1/6, 1
Let k be 12/8*-12*(-1 - 1). Factor -4*i**3 - 126 + i**3 - 27*i + 192 - k*i**2.
-3*(i - 1)*(i + 2)*(i + 11)
Let l(c) be the second derivative of c**5/20 - c**4 + 33*c**2/2 - 181*c. Let x(z) be the first derivative of l(z). Factor x(b).
3*b*(b - 8)
Suppose 30*o**2 + 80*o**3 - 131*o**3 + 4*o**2 - 3*o**4 - 66*o + 81*o**3 + 5*o**2 = 0. What is o?
-2, 0, 1, 11
Let a(z) be the second derivative of -z**7/105 + 74*z**6/75 + 3*z**5/50 - 22*z**4/3 - 148*z**3/15 - 2*z - 1896. Find q, given that a(q) = 0.
-1, 0, 2, 74
Let h(r) be the third derivative of 7*r**5/60 + 149*r**4/24 - 55*r**3/3 - 2060*r**2. Factor h(q).
(q + 22)*(7*q - 5)
Let p be (19/133)/((-288)/(-640) + 2/40). Factor -12/7*l + 0 + 2/7*l**2 + p*l**3.
2*l*(l - 2)*(l + 3)/7
Let i(h) be the second derivative of -h**6/15 - 3*h**5/5 + 5*h**4/6 + 14*h**3 - 40*h**2 + 2*h + 202. Let i(q) = 0. Calculate q.
-5, -4, 1, 2
Find p, given that 374*p - 1 - 200*p**2 - 9 - 200*p**2 + 645*p**3 - 609*p = 0.
-1/3, -2/43, 1
Suppose 4*q = s - 19, -q = -s - s + 17. Let t = -152 - -173. Factor -10*k**2 - 5*k - 10*k**2 - t*k**3 + 8*k**3 - s*k**3.
-5*k*(2*k + 1)**2
Let g(j) be the second derivative of 17*j + 3/8*j**2 - 25/24*j**3 + 7/6*j**4 + 1 - 1/5*j**5. Solve g(p) = 0 for p.
1/4, 3
Let i(z) be the second derivative of -4/27*z**3 + 196*z + 5/108*z**4 - 1/180*z**5 + 0 + 2/9*z**2. Let i(d) = 0. What is d?
1, 2
Let i(t) be the first derivative of 4/11*t**2 - 138 - 2/33*t**3 - 8/11*t. Factor i(a).
-2*(a - 2)**2/11
Let q(h) be the second derivative of 5*h - 3 - 1/5*h**5 + 10/3*h**3 - 4/3*h**4 + 0*h**2. Let q(a) = 0. Calculate a.
-5, 0, 1
Factor 4384836/17 - 2200794/17*j - 2/17*j**3 + 4192/17*j**2.
-2*(j - 1047)**2*(j - 2)/17
Let q(z) be the second derivative of -1/84*z**7 + 5/24*z**4 + 3/40*z**5 + 1 - 34*z - 1/60*z**6 + 0*z**2 + 1/6*z**3. Let q(c) = 0. What is c?
-1, 0, 2
Let s(d) be the first derivative of -290/39*d**3 - 38/13*d**4 - 44/13*d**2 + 2 - 64/39*d**6 + 32/5*d**5 - 8/13*d. Factor s(l).
-2*(l - 2)**2*(4*l + 1)**3/13
Suppose 735 + 51/2*k**2 - 3/4*k**3 - 987/4*k = 0. What is k?
7, 20
Suppose 0 = 3*q, 0 = 3*n + 3*q - 3 - 12. Let t be n/(2 - 3)*(-42)/105. Factor 0*m**t + 3/4 - 9/8*m + 3/8*m**3.
3*(m - 1)**2*(m + 2)/8
Let c(g) = 19*g + 279. Let v be c(0). Suppose 280*n**4 + 121*n**2 - v*n**4 - 4*n**3 + 26*n**3 = 0. What is n?
-11, 0
Let l = 57 - 16. Let m = -18 + l