*i**2 - 131*i + 14. Let c(b) = -188*b**3 - 2090*b**2 - 2484*b + 264. Let q(s) = -3*c(s) + 58*m(s). Let q(l) = 0. Calculate l.
-5, -2, 1/8
Let l(p) be the first derivative of -p**6/6 - 14*p**5/5 - 11*p**4 - 40*p**3/3 - 553. Determine a, given that l(a) = 0.
-10, -2, 0
Let b(d) = d**3 + 2*d**2 - 476*d - 477. Let s be b(-1). Factor 1/6*y**5 + 1/3*y**2 - 1/3*y**4 + 0 + s*y - 1/6*y**3.
y**2*(y - 2)*(y - 1)*(y + 1)/6
Let j = 80 - 77. Suppose 2*b - 3*i = 7, 2*b + j*b - 29 = -4*i. Factor -3*k**2 + b*k**2 - 28*k - 3*k**2 - k**2.
-2*k*(k + 14)
Let u be 41 + -3 + 15 + -48. Determine d, given that -7/10*d**4 + 4/5*d**3 + 0 + 0*d - 1/10*d**u + 0*d**2 = 0.
-8, 0, 1
Suppose 267/2 + 535/4*g + 1/4*g**2 = 0. What is g?
-534, -1
Let 1585 + 102*p**4 + 132*p**3 - 272*p**2 - 795 + 50*p**5 - 802 - 118*p + 118*p**4 = 0. Calculate p.
-3, -2, -1/5, 1
Let q(t) = 22*t**2 - 3*t + 4. Let h be q(1). Find u such that 2*u - 512 - 2*u**2 - h*u - 43*u = 0.
-16
Suppose 1223236 - 4423/4*l**2 + 1/4*l**3 + 1222130*l = 0. What is l?
-1, 2212
Let d(x) be the third derivative of x**8/378 - 19*x**7/45 - 5*x**6/27 - 2*x**2 + 466. Suppose d(h) = 0. Calculate h.
-1/4, 0, 100
Let j be -9 - (20416/(-66))/29. Let q(y) be the first derivative of -35/2*y**2 - j*y**3 - 30*y + 1. Determine f so that q(f) = 0.
-6, -1
Let x(o) = -2*o**2 + 25*o + 17. Let h be x(13). Factor h*v - 6*v + 3*v**3 + 6 - 7*v.
3*(v - 1)**2*(v + 2)
Find p such that -142*p**4 - 52*p**2 - 4*p**3 + 145*p**4 - 28*p**3 + 48*p = 0.
-2, 0, 2/3, 12
Suppose 4*a + 5*v + 22 = 0, -2*v + 4 - 2 = -2*a. Let u be (((-95)/60)/19)/(a/8). Find x such that 16/9*x - u*x**4 + 0 - 4/9*x**3 + 8/9*x**2 = 0.
-2, 0, 2
Let b(j) be the second derivative of 103*j**5/4 - 1045*j**4/12 + 545*j**3/6 - 15*j**2/2 - 2729*j. Factor b(o).
5*(o - 1)**2*(103*o - 3)
Let u(p) be the second derivative of -p**5/110 - 307*p**4/66 - 21*p - 6. Suppose u(r) = 0. What is r?
-307, 0
Let g(q) be the first derivative of 1/7*q**4 - 56 + 0*q**3 + 0*q + 0*q**2. Find l such that g(l) = 0.
0
Factor 146*k**2 - 314*k**2 + 110*k**2 + 19*k + 41*k + 8*k**3.
2*k*(k - 6)*(4*k - 5)
Let j(w) be the second derivative of -w**7/105 - w**6/25 + 11*w**5/25 + 28*w**4/15 - 32*w**3/5 - 128*w**2/5 - 64*w - 2. Suppose j(u) = 0. What is u?
-4, -1, 2, 4
Let n(a) be the second derivative of 2*a**7/21 + 16*a**6/15 - 12*a**5/5 - 26*a**4/3 + 22*a**3/3 + 36*a**2 + 310*a - 3. Solve n(i) = 0.
-9, -1, 1, 2
Let n(r) be the first derivative of 0*r**3 + 18*r + 1/180*r**6 + 1/60*r**5 + 27 + 0*r**2 + 1/72*r**4. Let w(q) be the first derivative of n(q). Factor w(u).
u**2*(u + 1)**2/6
Let b(m) be the first derivative of m**6/6 - m**5/5 - 7*m**4/2 + 8*m**3 + 208. Factor b(j).
j**2*(j - 3)*(j - 2)*(j + 4)
Let m(f) be the first derivative of f**6/24 + 13*f**5/20 + 29*f**4/8 + 53*f**3/6 + 85*f**2/8 + 25*f/4 - 762. Factor m(t).
(t + 1)**3*(t + 5)**2/4
Let a(r) be the third derivative of r**10/604800 - r**9/120960 + r**8/80640 + 11*r**5/30 - 10*r**2 + 1. Let u(o) be the third derivative of a(o). Factor u(c).
c**2*(c - 1)**2/4
Suppose -11*f - 26 = -13*f + 2*q, -4*q - 46 = -2*f. Find t such that -45*t**2 - 5/2*t**f + 0 - 405/2*t = 0.
-9, 0
Let q be (88/(-50))/(168/(-56)*(-2)/(-45)). Solve 24/5*g - 104/5*g**2 + 0 + q*g**3 + 14/5*g**4 = 0 for g.
-6, 0, 2/7, 1
Suppose 2*g - 6 = 0, -5*g = b - 5*b - 359. Let l = b + 87. Find c such that 23*c**3 - 6*c**2 - 26*c**3 - 2*c + 5 + l + 5*c = 0.
-2, -1, 1
Let y be ((-4608)/(-1296))/((-16)/(-12)). Find l, given that 74*l**3 + y*l - 18*l**4 + 16/3 - 236/3*l**2 = 0.
-2/9, 1/3, 2
Suppose -29/5*s**2 + 4 - 9/5*s = 0. Calculate s.
-1, 20/29
Let f(y) be the third derivative of y**5/360 + 361*y**4/72 + 130321*y**3/36 + y**2 - 315. Solve f(h) = 0.
-361
Let c(v) be the first derivative of -v**7/5460 + v**6/780 + v**5/195 + 59*v**3/3 - 15. Let h(m) be the third derivative of c(m). Suppose h(l) = 0. What is l?
-1, 0, 4
Let p be (1 + 2409/(-2400))*31820/(-90). Let n = p - -3/400. Let n + 1/6*b**2 + b = 0. Calculate b.
-4, -2
Let j(a) be the third derivative of 5*a**2 - 8/5*a**6 - 192*a**4 + 8 - 1/1512*a**8 + 0*a + 0*a**3 - 128/5*a**5 - 16/315*a**7. Find l, given that j(l) = 0.
-12, 0
Let r = -26 - -58. Let u(c) = 6*c - 54. Let s be u(12). Find h such that s*h**2 + 4 - 8*h - r*h**2 + 18*h**2 = 0.
1
Let j(k) = -k**2 - 11*k + 27. Let c be j(-13). Let x be c + 44/36 + -2. Factor -2/9*i**2 - x + 4/9*i.
-2*(i - 1)**2/9
Suppose 2*b + 5*i = 3*i + 14, -4*b = -i - 38. Let j = -2 - -10. Suppose -6 + 12*n**2 + b*n + j*n + 4*n = 0. Calculate n.
-2, 1/4
Let b(r) = -3*r**3 - 237*r**2 + 490*r + 324. Let v be b(-81). Factor 0 + 2/9*a**4 + v*a**2 + 4/9*a**3 + 0*a - 2/9*a**5.
-2*a**3*(a - 2)*(a + 1)/9
Let t = 72259/505911 - -2/72273. Determine r, given that t*r**2 + 9/7 + 10/7*r = 0.
-9, -1
Suppose -385*w + 1589*w + 3*w**2 - 834632 + 1380*w - 5*w**2 = 0. Calculate w.
646
Let t(j) be the second derivative of -j**4/15 - 24*j**3/5 - 72*j**2 + 3*j - 262. Let t(m) = 0. Calculate m.
-30, -6
Suppose 2*s - 5*a - 53 + 76 = 0, s + 15 = 3*a. Let b(m) be the second derivative of 0*m**3 + 0*m**2 - 7/90*m**s - 32*m - 13/30*m**5 + 0 + 2/9*m**4. Factor b(u).
-u**2*(u + 4)*(7*u - 2)/3
Let g(a) be the third derivative of -a**6/100 + 18*a**5/25 - 61*a**4/4 - 342*a**3/5 - 4*a**2 - 133*a. Solve g(c) = 0 for c.
-1, 18, 19
Suppose -17 + 5 = -6*c. Let a(r) = 2*r**c + 1 + 0*r**2 - 1 + 2*r. Let g(b) = b**2 - b. Let j(d) = -a(d) + 6*g(d). Factor j(v).
4*v*(v - 2)
Let s be -12 + 40/8 + 62/2. Let d be (143/(-39) - -5) + (-14)/s. Let -d + 0*i + 3/4*i**2 = 0. What is i?
-1, 1
Factor -460600 - 4*t**2 - 28*t + 460584 - 6*t**2.
-2*(t + 2)*(5*t + 4)
Suppose 41*b - 44*b - 81 = 0. Let p be -3 - ((-27)/(-162))/(1/b). What is l in 0*l**2 - p*l + 1/2*l**3 - 1 = 0?
-1, 2
Let y(l) = -3*l**2 - l + 60. Let u(g) = 15*g**2 + 6*g - 300. Let f(i) = 10*i - 29. Let w be f(5). Let p(d) = w*y(d) + 4*u(d). Let p(m) = 0. Calculate m.
-4, 5
Suppose 5*x - z = 2*x + 307, -5*z = -25. Suppose -x*a + 4 + 80*a + 58*a - 18*a**2 = 0. What is a?
-1/9, 2
Factor -4*r**4 - 16*r**3 + 4*r**3 - 3*r**2 + 10*r + 7*r**2 + 2*r.
-4*r*(r - 1)*(r + 1)*(r + 3)
Factor -2886/11*w + 1446/11 + 1434/11*w**2 + 6/11*w**3.
6*(w - 1)**2*(w + 241)/11
Find p such that 897/2*p + 3/4*p**2 + 268203/4 = 0.
-299
Let s(q) = -14*q**3 + 2*q**2 - q - 9. Let b be s(-4). Let d(j) = j + 938 + 5*j + 3*j**2 - b. Let u(p) = -p**2 + p. Let c(y) = -d(y) - 6*u(y). Factor c(v).
3*(v - 5)*(v + 1)
Let d(b) be the second derivative of -b**4/72 - 25*b**3/4 + 57*b**2 - b - 198. Find j such that d(j) = 0.
-228, 3
Let k(c) = c**3 - 12*c**2 + 37*c - 6. Let l be k(5). Let n(p) be the third derivative of -l*p**2 - 1/120*p**5 + 5/48*p**4 + 0 + 0*p - 1/3*p**3. Factor n(f).
-(f - 4)*(f - 1)/2
Factor -2/17*b**3 - 190104/17 + 706/17*b**2 - 61232/17*b.
-2*(b - 178)**2*(b + 3)/17
Let g(o) be the first derivative of -o**6/2 + 6*o**5/5 + 33*o**4/16 - 31*o**3/4 + 15*o**2/2 - 3*o + 1268. Determine c, given that g(c) = 0.
-2, 1/2, 1, 2
Let y(x) be the first derivative of x**4/24 - 65*x**3/2 + 38025*x**2/4 - 2471625*x/2 - 5150. Factor y(m).
(m - 195)**3/6
Suppose 3*z + 4 = 13. Let r = -2 + z. What is d in -5 + 4*d**2 - 8*d + r + 4 = 0?
0, 2
Let w(r) be the second derivative of -r**4/32 - 425*r**3/8 + 3168*r. Factor w(f).
-3*f*(f + 850)/8
Let j(s) be the third derivative of -10*s**2 + 1/4*s**4 + 0*s**3 + 13/135*s**5 - 1/540*s**6 - 5 + 0*s. Factor j(h).
-2*h*(h - 27)*(h + 1)/9
Let k = -122677/13 - -9437. Let g(v) be the first derivative of -k*v**2 - 28 + 0*v + 11/26*v**4 + 18/65*v**5 + 2/39*v**6 + 0*v**3. Solve g(b) = 0 for b.
-2, -1, 0, 1/2
Let y(z) be the second derivative of -z**5/80 - 5*z**4/48 - 7*z**3/24 - 3*z**2/8 - z - 243. Find s, given that y(s) = 0.
-3, -1
Let g(p) be the second derivative of -49*p**5/16 - 2345*p**4/48 + 425*p**3 - 1170*p**2 - 79*p - 6. Determine z, given that g(z) = 0.
-13, 12/7
Let f = 932327/7 - 132577. Let w = 614 - f. Factor 8/7 - 32/7*p + w*p**2 + 2*p**3.
2*(p - 1)*(p + 2)*(7*p - 2)/7
Let o(g) be the third derivative of -3*g**8/280 + g**7/35 + 34*g**6/25 + 74*g**5/25 - 8*g**4 - 113*g**2. Suppose o(h) = 0. Calculate h.
-5, -2, 0, 2/3, 8
Let v(d) be the first derivative of -144*d - 24*d**2 - 121 - 4/3*d**3. Factor v(t).
-4*(t + 6)**2
Suppose 4*y + 11 = 5*y. Suppose y = 2*k + 7. Factor -37*v + 12*v**k - 46*v + 1 +