2 - 27.
3*(i - 1)*(i + 9)
Let s(p) be the second derivative of -p**6/60 - p**5/5 - 11*p**4/24 + 5*p**3/3 + 9094*p. Determine d so that s(d) = 0.
-5, -4, 0, 1
Let u be (15 - 6 - 3) + -4. Let 69*a - 9*a - 2*a**u - 19 - 436 + 5 = 0. What is a?
15
Let y(x) be the third derivative of 0*x**3 - 1/40*x**6 - 48*x**2 + 0*x**4 + 0*x + 1/336*x**8 + 1/30*x**5 + 0 + 0*x**7. Solve y(g) = 0.
-2, 0, 1
Suppose -4*g + 47 = 3*v, -421*g + 417*g - 57 = -5*v. Factor 56*i + 30*i**g + 32 + 1/2*i**4 + 13/2*i**3.
(i + 1)*(i + 4)**3/2
Let m(f) be the second derivative of -f**6/105 + 3*f**5/70 + 2*f**4/21 - 4*f**3/7 + 55*f - 9. Factor m(v).
-2*v*(v - 3)*(v - 2)*(v + 2)/7
Let b = -34/29689 - -29825/118756. Factor -31/4*h + b*h**4 - 13/4*h**3 + 5/2 + 33/4*h**2.
(h - 10)*(h - 1)**3/4
Let f(w) = -34*w**2 + 3246*w + 2633996. Let o(u) = -29*u**2 + 3246*u + 2634015. Let z(c) = 6*f(c) - 7*o(c). Find s such that z(s) = 0.
-1623
Let g be (120/500)/(-12 + 1245/100)*(-6)/(-8). Let j = 2503/5 + -499. Solve -j*y**2 - 2/5*y + g*y**3 + 8/5 = 0.
-1, 1, 4
Let f(i) be the second derivative of 14*i**6/45 - 884*i**5/45 - 581*i**4/9 - 500*i**3/9 + 176*i**2/9 - 3*i - 44. Find t, given that f(t) = 0.
-1, 2/21, 44
Let i = -2 - -4. Suppose 2 = 5*h + 2*p, -766*h + 5 = -765*h + 5*p. Let 1/3*a - 1/3*a**i + h = 0. What is a?
0, 1
Let h be 26 + (48/8 - 7). Factor h*j**2 - 42*j + 21*j + 31*j + 15*j**3.
5*j*(j + 1)*(3*j + 2)
Suppose -2*s - 520 = -3*r - 140, 0 = -4*s + 20. Let u be (264/r - 2)*5. Factor -u*n**2 + 0 + 0*n.
-2*n**2/13
Suppose 2041 = -2*u + 5*s, -2*u - 3072 = u - 4*s. Let j = u - -1030. What is k in -15/4*k**3 - 7*k**j - 15/4*k - 1/2 = 0?
-1, -2/3, -1/5
Let t(f) = -20*f**3 - 565*f**2 + 2030*f - 1460. Let b(x) = -3*x**3 - 81*x**2 + 290*x - 208. Let h(r) = -15*b(r) + 2*t(r). What is g in h(g) = 0?
-20, 1, 2
Let p(h) be the first derivative of 0*h**4 - 3/35*h**5 + 9/7*h**2 + h**3 - 36 + 0*h. Let p(a) = 0. What is a?
-2, -1, 0, 3
Suppose -b + 4*s - 21 = 0, 3*b - 5*s = 2*b - 27. Let r(t) be the second derivative of 4*t**2 + 1/3*t**4 - 11/2*t**b - 14*t + 0. Solve r(q) = 0 for q.
1/4, 8
Let h(x) = -154*x + 3239. Let s be h(21). Let 3*y + 0*y**2 + 6/5 - 6*y**4 - 6*y**3 - 9/5*y**s = 0. What is y?
-1, 2/3
Factor 5/2*w + 1/4*w**2 - 66.
(w - 12)*(w + 22)/4
Let n(l) = 17*l - 234. Let t be n(14). Let s(k) be the second derivative of 0 - 9*k + 1/96*k**t - 5/48*k**3 + 3/8*k**2. Factor s(o).
(o - 3)*(o - 2)/8
Let a be -3 + 5 - 4/((-8)/26). Factor 26*c**3 + 3*c**4 + 3*c**5 - 26*c**3 - a*c**4.
3*c**4*(c - 4)
Let p(i) be the first derivative of -891*i**5/20 + 46665*i**4/16 + 14729*i**3/6 + 1535*i**2/2 + 106*i + 11053. Find n such that p(n) = 0.
-2/9, -2/11, 53
Let c(x) = -4*x**3 + 930*x**2 + 4497*x + 2592. Let y(j) = -5*j**3 + 930*j**2 + 4500*j + 2592. Let s(h) = -4*c(h) + 5*y(h). Factor s(w).
-3*(w - 108)*(w + 4)*(3*w + 2)
Suppose -31*y - 6 = -32*y. Factor 3*l**3 - 3*l**3 + 12 - 3*l**3 + y*l**3 - 12*l - 3*l**2.
3*(l - 2)*(l - 1)*(l + 2)
Let s(r) be the first derivative of 5*r**3/3 + 280*r**2 + 8460*r + 12421. Factor s(z).
5*(z + 18)*(z + 94)
Factor -26/7*p**2 + 26/7 + 1/7*p - 1/7*p**3.
-(p - 1)*(p + 1)*(p + 26)/7
Let j be 4/(-14) + (-2)/(-7). Suppose 820*n - 822*n = j. Let 0*c**2 + 0*c**4 + n + 2/9*c**3 + 0*c - 2/9*c**5 = 0. What is c?
-1, 0, 1
Let a(w) = -1219*w - 163344. Let q be a(-134). Find k, given that -10*k**q - 6*k**3 + 0 + 50/3*k - 2/3*k**4 = 0.
-5, 0, 1
Let b(p) be the third derivative of -p**7/70 - 41*p**6/40 - 2*p**5 - 39*p**2 + 15*p. What is l in b(l) = 0?
-40, -1, 0
Let t(q) = 13*q**5 - 28*q**4 - 19*q**3 + 60*q**2 - 46*q. Let n(m) = -24*m**5 + 54*m**4 + 36*m**3 - 120*m**2 + 90*m. Let o(v) = -5*n(v) - 9*t(v). Factor o(g).
3*g*(g - 6)*(g - 1)**2*(g + 2)
Let 1556068/5 + 5*a**5 + 404059/5*a**3 + 7844288/5*a + 10046041/5*a**2 + 1099*a**4 = 0. What is a?
-73, -2/5
Let h(l) = 1298*l - 12980. Let z be h(10). Suppose -8 = -g + 3*w, g - 4 = -0*w + w. Suppose -1/2*q**3 + g*q + 0*q**2 + z = 0. What is q?
-2, 0, 2
Let 32/5*c**2 + 72/5 + 2/5*c**3 + 102/5*c = 0. What is c?
-12, -3, -1
Find b, given that -111*b**2 + 343*b**2 + 292*b + 12*b**3 - 25*b**3 + 25*b**3 + 72 = 0.
-18, -1, -1/3
Factor 514*x**2 + 128*x**3 - 28*x - 126*x**3 + 28*x.
2*x**2*(x + 257)
Let h(v) = -v**3 + 26*v**2 - 138*v + 2163. Let f be h(24). Factor 154/17*w**2 + 0 + 8/17*w**f + 38/17*w.
2*w*(w + 19)*(4*w + 1)/17
Suppose 0 = 20*d - h + 375 - 430, 2*h = -d - 28. Find y such that 2/5*y + 4/5*y**d + 0 + 2/5*y**3 = 0.
-1, 0
Let n = -924063/4 - -231030. Factor 195/4*d + n*d**3 + 33/2 + 189/4*d**2 - 3/4*d**4.
-3*(d - 22)*(d + 1)**3/4
Suppose -339*s = -63*s - 397 - 431. Factor 12*x + 4*x**s + 9/2 + 1/2*x**4 + 11*x**2.
(x + 1)**2*(x + 3)**2/2
Let k(r) be the second derivative of r**6/10 - 9*r**5 + 193*r**4 + 1920*r**3 + 6144*r**2 + 4155*r. Determine i so that k(i) = 0.
-2, 32
Let h = 6031 - 6031. Let s(b) be the second derivative of -10*b + h*b**3 + 0 + 1/24*b**4 - b**2. Factor s(k).
(k - 2)*(k + 2)/2
Let v(g) = -3*g**2 - 658*g - 704. Let x(f) = 2*f**2 + 656*f + 696. Let h(o) = -6*v(o) - 7*x(o). Determine r, given that h(r) = 0.
-1, 162
Let s(h) be the third derivative of -65/12*h**4 + 1/4*h**5 + 10*h**2 + 1/3*h**6 - 1/42*h**7 + 0*h + 40/3*h**3 + 3. Factor s(l).
-5*(l - 8)*(l - 1)**2*(l + 2)
Find b, given that -104/5 + 16/15*b**3 - 184/15*b - 2/15*b**4 + 146/15*b**2 = 0.
-6, -1, 2, 13
Suppose -5*c - 3*a - 1310 = -6*c, -4*a = -5*c + 6583. Let t = c + -1316. Factor 3/4*p**t - p**2 + 0 + p**4 - p + 1/4*p**5.
p*(p - 1)*(p + 1)*(p + 2)**2/4
Let k(h) = -5*h**2 + 19*h - 43. Let p be k(6). Let l be 1 + (-8)/(-6) - (-112 - p). Let -l*a + 11/3*a**2 - 4/3 + 3*a**3 = 0. What is a?
-2, -2/9, 1
Let p = -229 + -284. Let x = -510 - p. Factor -2*n + 0 - 2/3*n**x - 8/3*n**2.
-2*n*(n + 1)*(n + 3)/3
Let q(d) be the second derivative of -d**8/1344 - d**7/252 - d**6/144 + d**4/3 + 2*d**3/3 + 2*d + 34. Let t(z) be the third derivative of q(z). Factor t(j).
-5*j*(j + 1)**2
Suppose 1960/3 - 5/6*c**3 - 275/6*c**2 - 1820/3*c = 0. Calculate c.
-28, 1
Let w be 48/(-36)*33/36*-6. Factor -2/3*i**3 - 50/3 - w*i**2 - 70/3*i.
-2*(i + 1)*(i + 5)**2/3
Let s(j) be the first derivative of -j**6/15 - 52*j**5/25 + 7*j**4/2 + 136*j**3/5 - 324*j**2/5 + 5504. Let s(c) = 0. Calculate c.
-27, -3, 0, 2
Let u be 6*((-11)/(-3) + -4)*136/(-119). Factor u*s + 4/7*s**2 + 12/7.
4*(s + 1)*(s + 3)/7
Suppose -10*w + 478 = 278. Suppose -999*h + 1009*h - w = 0. Let -32/7*x + h*x**2 + 8/7 = 0. What is x?
2/7, 2
Let i be (-4)/12*(5 - 44). Let h be (-2)/(-6)*0/(i - 7). Factor 2/9*u**3 + h - 2/3*u**2 + 4/9*u.
2*u*(u - 2)*(u - 1)/9
Let f(q) be the first derivative of 7 + 2*q**2 + 4/3*q**3 + 1/3*q**4 - 3*q. Let x(o) be the first derivative of f(o). Factor x(s).
4*(s + 1)**2
Let n(i) be the second derivative of -1/2*i**4 + 0 - 11/3*i**2 + 7/3*i**3 + 31*i - 1/30*i**5. Solve n(h) = 0 for h.
-11, 1
Suppose 7163 - 7163 = 507*a. Factor -3/2*j**2 - 24*j + a.
-3*j*(j + 16)/2
Suppose 59*z - 192 = 103. Let w(h) be the first derivative of -1/4*h + 1/20*h**z + 0*h**3 - 1 + 1/4*h**2 - 1/8*h**4. Let w(u) = 0. Calculate u.
-1, 1
Suppose 9*z + 10 = 73. Let l be (-435)/2436 - ((-17)/z - -2). Find c such that l*c**3 + 3/4*c**2 + 1/2*c + 0 = 0.
-2, -1, 0
Let o(l) = -l**3 - 10*l**2 - 15*l + 14. Let r be o(-8). Suppose 0 = -5*h + r*h - 20. Determine n so that -h*n**2 + 31 + 36 + 15*n - 67 + 5*n**3 = 0.
0, 1, 3
Let d(i) = -i**2 + 6*i - 6. Let w be d(4). Suppose -2*v + 21 + 5 = 3*t, 0 = -2*t - v + 16. What is q in 35*q**3 + 130*q**w - 24 - t + 24*q + 41*q = 0?
-3, -1, 2/7
Solve -5/4*y**3 + 235/4 + 465/4*y + 225/4*y**2 = 0 for y.
-1, 47
Let u(g) be the second derivative of g**7/21 + 4*g**6/5 - 6*g**5 + 32*g**4/3 - 16*g. Factor u(t).
2*t**2*(t - 2)**2*(t + 16)
Find i such that 151/2 - 1/2*i**2 + 75*i = 0.
-1, 151
Let b = 1774 + -1758. Suppose -b*t + 40 - 8 = 0. Factor 4/3*n**t + 2*n + 2/3.
2*(n + 1)*(2*n + 1)/3
Suppose -26*j = -31*j + 10. Suppose -r**j - 7 - 2*r - 10 - r + 21 = 0. What is r?
-4, 1
Let n(k) be the third derivative of -k**7/840 + 201*k**6/80 - 122403*k**5/80 + 45225*k**4/2 - 135000*k**3 - k**2 + 31*k + 10. Let n(i) = 0. What is i?
3, 600
Let u(g) be the third derivative of -49*g**7/15 - 623*g**6/30 - 6157*g**5/210 + 267*g**4/7 - 108*g**3/7 - 191*g**2 + 2*g - 3. Factor u(h).
-2*(h + 2)**2*(49*h - 9)**2/7
Let n(l) be 