. Let j(o) = -10*f(o) - r(o). What is b in j(b) = 0?
-1/2, 0, 1, 95
Let b(v) = v. Let l = -2 + 5. Let i(p) = -5*p**2 - 27*p - 25. Let z be 2*(-10)/8*(-16)/(-40). Let r(q) = l*b(q) + z*i(q). Solve r(u) = 0.
-5, -1
Let o(f) be the second derivative of 5/8*f**4 + 0 - 3*f**3 - 16*f - 1/20*f**5 + 14*f**2. Let s(w) be the first derivative of o(w). Find r such that s(r) = 0.
2, 3
Let q(k) = k**3 + 3*k**2 - 8*k - 13. Let i be q(-4). Find n, given that n**3 + 8*n**i + 22*n**4 - 3*n**3 + 3*n**2 - 19*n**4 = 0.
-1, 0
Let i(v) be the third derivative of -v**8/4 - 158*v**7/105 - 23*v**6/10 + 47*v**5/15 + 15*v**4 + 64*v**3/3 + 27*v**2 + 40. Determine z so that i(z) = 0.
-2, -1, -16/21, 1
Let o(r) = 27*r + 4. Let l be o(0). Let y be (1 - l/10) + (-5)/50. Factor y*b**4 + 0 + 1/2*b**5 + b - 1/2*b**2 - 3/2*b**3.
b*(b - 1)**2*(b + 1)*(b + 2)/2
Let g(p) = -4*p**3 - 2295*p**2 - 264498*p - 262206. Let k(x) = -x**3 + 3*x + 1. Let m(s) = -g(s) - k(s). Factor m(q).
5*(q + 1)*(q + 229)**2
Let z(c) be the first derivative of c**4/18 + 8*c**3/27 - 7*c**2/3 - 1075. Determine t so that z(t) = 0.
-7, 0, 3
Let j(d) be the third derivative of -d**6/30 + 1068*d**5/5 - 570312*d**4 + 812124288*d**3 + 905*d**2. Suppose j(z) = 0. What is z?
1068
Suppose -y = 4, -8*z + 29 = -5*z - 2*y. Suppose -166 + 180 = z*g. Factor 3*j**g + 60/7*j**3 - 9/7*j + 0.
3*j*(4*j - 1)*(5*j + 3)/7
Suppose 4*m - 4*z - 37 = z, 5*z = -2*m - 19. Suppose 3*p + f = -9, 4*p - 280 + 317 = -3*f. Factor -9/8*n**4 - 3/2*n**p + 0*n - 3*n**m + 0.
-3*n**2*(n + 2)*(3*n + 2)/8
Let h(g) = g**3 + g**2 + g + 1. Let v(d) = -6 + 267*d**2 - 6*d + 2*d**3 - 275*d**2 - 10*d**3. Suppose -73 + 17 = 2*r. Let n(y) = r*h(y) - 4*v(y). Factor n(i).
4*(i - 1)*(i + 1)**2
Let b(h) be the second derivative of -16 + h**4 + 47/2*h**3 + 5*h - 18*h**2. Solve b(u) = 0.
-12, 1/4
Suppose 2*m - 92 = -4*t, 0 = -0*m - 4*m - 4*t + 164. Let k(j) be the first derivative of -64*j**3 - m*j + 64/3*j**4 + 72*j**2 + 6. Factor k(o).
4*(4*o - 3)**3/3
Factor -430 - 756*v**2 - 205*v + 343*v**2 - 5*v**3 + 294*v**2 + 339*v**2.
-5*(v - 43)*(v - 2)*(v + 1)
Let o(f) be the third derivative of -f**7/14 + 175*f**6/24 + 481*f**5/12 + 2125*f**4/24 + 305*f**3/3 + 970*f**2. Find q, given that o(q) = 0.
-1, -2/3, 61
Let y be (-111)/21 + 5 + 692/1211. Factor 4/7*l + 0 + 2/7*l**4 - 4/7*l**3 - y*l**2.
2*l*(l - 2)*(l - 1)*(l + 1)/7
Let g(r) be the third derivative of r**5/90 - 2075*r**4/18 + 4305625*r**3/9 + 8598*r**2 - r. Factor g(l).
2*(l - 2075)**2/3
Let a(m) be the first derivative of -4/3*m**3 - 80*m + 24*m**2 + 63. Factor a(x).
-4*(x - 10)*(x - 2)
Let k be (5 + 25/(-15))/((-1)/(-9)). Factor -31 + 3*h**2 - k*h - 34 - 3 + 0*h**2 - 4.
3*(h - 12)*(h + 2)
Suppose -87*u + 360*u = -492*u + 3060. Factor 0 + 6*b**2 - 1/3*b**u + 0*b + b**3.
-b**2*(b - 6)*(b + 3)/3
Let p(m) = m**2 - 14*m - 29. Let h be p(16). Let 14*x**3 - 250*x - 45*x**h + x**3 - 2*x**4 - 150*x**2 = 0. What is x?
-5, 0
Determine w so that 36 - 1/6*w**2 + 53/3*w = 0.
-2, 108
Let i(s) be the first derivative of -s**3/2 + 24*s**2 - 288*s + 2543. Factor i(d).
-3*(d - 24)*(d - 8)/2
Factor -16648*p**2 - 244*p**3 - 20*p**4 + 19*p**4 - 58560*p + 1284*p**2 - 57600.
-(p + 2)**2*(p + 120)**2
Let p be 3/(-7)*68/204*5*(-7)/2. Find f such that 0*f**2 + 0 + 0*f**4 - 1/2*f**5 + p*f**3 - 2*f = 0.
-2, -1, 0, 1, 2
Let n(i) = -42*i + 462. Let z(q) = q**2 + 11*q + 21. Let h be z(-10). Let a be n(h). Factor 0 + 5/6*x**3 - 25/6*x**2 + a*x.
5*x**2*(x - 5)/6
Let q = 94 + -92. Factor 4681*g**3 + 4*g**q - 4683*g**3 - 3 + 3.
-2*g**2*(g - 2)
Let v(f) = -20*f**2 - 135*f - 34. Let s(h) be the second derivative of 5*h**4/3 + 67*h**3/3 + 18*h**2 - 50*h. Let g(y) = 7*s(y) + 6*v(y). Factor g(n).
4*(n + 6)*(5*n + 2)
Let g(j) = -1. Let i be 10 - 16 - 8/(-2). Let w(m) = -5*m**2 - 12*m + 1. Let v(a) = i*w(a) - 10*g(a). Let v(l) = 0. What is l?
-2, -2/5
Solve -4/9*a**3 - 3616/9*a + 916/9*a**2 + 400 = 0 for a.
2, 225
Let t = -549299/3 - -183100. Solve -22/3 + t*x**2 - 7*x = 0.
-1, 22
Let s(v) = -5*v**2 + 16*v + 18. Let h be s(4). Factor -62*o + 5*o**h + 5*o**3 - 70 + 12*o + 110.
5*(o - 2)*(o - 1)*(o + 4)
Determine p, given that 3/2*p**2 + 45/2*p + 75 = 0.
-10, -5
Let b = -439801/3 - -1760167/12. Solve 0 + 9*r + 15*r**4 - 57*r**2 + b*r**3 = 0 for r.
-6, 0, 1/4, 2/5
Let v = 5451 - 5447. Factor 1/3 + 2*x**2 + 4/3*x**3 + 1/3*x**v + 4/3*x.
(x + 1)**4/3
Suppose -837/2*l + 3/2*l**5 - 27*l**4 + 117*l**3 + 84*l**2 + 243 = 0. Calculate l.
-2, 1, 9
Let t(g) be the second derivative of 2*g**5/45 + 16121*g**4/54 + 16244930*g**3/27 + 4060225*g**2/9 + 726*g. Factor t(u).
2*(u + 2015)**2*(4*u + 1)/9
Let d = 177 + -175. Factor -4 - 2*c**4 - 10*c**2 - 12*c - 15*c**3 + 9*c**3 + c**4 - 3*c**d.
-(c + 1)**2*(c + 2)**2
What is a in 1/2*a**2 + 13/2*a + 0 = 0?
-13, 0
Let p(n) be the first derivative of -n**3/6 + 123*n**2/4 + 1407. Find o such that p(o) = 0.
0, 123
Suppose -5*m - 5 = -4*l, 4*l + 13 - 16 = 3*m. Let p(b) = b**2 - 2*b - 1. Let o(n) = 9*n**2 - 98*n + 221. Let u(f) = m*o(f) + 4*p(f). Let u(x) = 0. Calculate x.
3, 15
Let u(v) be the third derivative of -v**8/2688 - v**7/1680 + v**6/192 + v**5/480 - v**4/24 + v**3/12 - 399*v**2 - 2. Factor u(p).
-(p - 1)**3*(p + 2)**2/8
Suppose -4*v + 2*v - 10 = -2*k, 2*k - v = 15. Suppose 4*q - 2*j = k, 2*q = 4*q + 2*j - 8. Factor 5/4*z**q + 8*z + 3 + 23/4*z**2.
(z + 2)**2*(5*z + 3)/4
Let k(a) be the third derivative of -a**6/60 + 2*a**5/5 + a**4/3 - 16*a**3 - 17*a**2 + 4*a - 17. Factor k(z).
-2*(z - 12)*(z - 2)*(z + 2)
Let i be (20/(-8))/(2/(-4)). Let m(u) = u + 27. Let j be m(-14). Solve 12*n + 4*n**4 + j*n**2 + 8*n**2 + 25*n**3 - i*n**3 + 7*n**2 = 0 for n.
-3, -1, 0
Determine k, given that 45*k - 4493 + 62*k**2 + 4439 - 74*k**2 + k**3 = 0.
3, 6
Let v(j) be the first derivative of 52/21*j**3 + 8/7*j**2 + 2/21*j**6 + 15/7*j**4 + 4/5*j**5 - 140 + 0*j. Factor v(r).
4*r*(r + 1)**3*(r + 4)/7
Let b(w) be the second derivative of -2/3*w**3 - 1/3*w**4 + 0 + 4*w**2 + 11*w. What is t in b(t) = 0?
-2, 1
Factor -2/19*h**3 + 94/19*h**2 - 1152/19 - 1056/19*h.
-2*(h - 24)**2*(h + 1)/19
Let z = 94576 + -94540. Factor 486 + z*b + 2/3*b**2.
2*(b + 27)**2/3
Let 0 + 1113/2*l**3 - 381/2*l**2 - 555/2*l**4 + 75/2*l**5 + 18*l = 0. Calculate l.
0, 1/5, 3, 4
Let q(l) be the third derivative of -4*l**3 - 5/6*l**4 + 4*l - 1/15*l**5 + 0 - 3*l**2. Factor q(o).
-4*(o + 2)*(o + 3)
Let j(d) be the third derivative of 0*d**3 + 1/180*d**6 - 6*d**2 - 1/90*d**5 + 2 + 0*d - 1/18*d**4. Find n, given that j(n) = 0.
-1, 0, 2
Let m be (-12730)/(-5159) - (-70)/(-385). Determine k so that m + 2/7*k**2 - 12/7*k = 0.
2, 4
Suppose 4*o = -0*c - 4*c - 8, -3*o = -3*c + 18. Suppose 3*i - c*i = 5*i. Find r, given that i*r - 1 + 0*r + 6 + 10*r + 5*r**2 = 0.
-1
Let o(g) be the second derivative of -g**4/78 - 58*g**3/39 + 183*g**2/13 + g + 7. Solve o(l) = 0 for l.
-61, 3
Suppose s = -3*b + 15, 14*b + 4*s - 32 = 9*b. Suppose -4*c = -f + 4 + 3, b*f = -2*c + 10. Factor 1/5*y**4 + 0*y + 9/5*y**2 + 0 - 6/5*y**f.
y**2*(y - 3)**2/5
Factor 21*a**2 + 12*a**2 - 24*a**2 - 215*a - 1950 - 14*a**2.
-5*(a + 13)*(a + 30)
Let y(c) be the first derivative of -361*c**5/20 + 323*c**4/16 + 37*c**3/12 + c**2/8 - 1048. Factor y(j).
-j*(j - 1)*(19*j + 1)**2/4
Let s = -3/737 + 752/3685. What is h in -3/5*h**3 - 2/5*h**2 + 0 - s*h**4 + 0*h = 0?
-2, -1, 0
Let k(f) be the first derivative of 4*f**3/3 - 46*f**2 + 360*f - 1885. Factor k(v).
4*(v - 18)*(v - 5)
Let s = 65 - -5. Suppose 0 = 127*m - 92*m - s. Find c, given that 4/5*c + 8/5 - 4/5*c**m = 0.
-1, 2
Let j = -93 - -189/2. Let m(g) be the first derivative of 2*g - 1/4*g**4 + 3 + j*g**2 + 0*g**3. Find n, given that m(n) = 0.
-1, 2
Let u(y) be the second derivative of -11 - 1/84*y**4 - 1/3*y**3 - 3*y - 13/14*y**2. Factor u(p).
-(p + 1)*(p + 13)/7
Let a(f) = -10*f**3 + 104*f**2 - 332*f - 264. Let m(x) = -6*x**3 + 52*x**2 - 166*x - 132. Let v(j) = 6*a(j) - 11*m(j). Factor v(z).
2*(z - 3)*(z + 11)*(3*z + 2)
Suppose 26 = -2*g, -5*g - 37 - 6 = 2*w + 18. Determine h, given that -68/3*h - 4/3*h**3 + 32/3 + 40/3*h**w = 0.
1, 8
Let x be (14/5)/((-484)/(-580) - (-42)/(-1218)). Factor -7/4*i**3 + 0 + 47/4*i**2 + x*i.
-i*(i - 7)*(7*i + 2)/4
Let o(b) = -b**2 - 2*b + 1. Suppose -5*r - 3*j - 1 = 0, 0*r + 5*j = r + 17. Let u be o(r). Let -3 + 34*d - 16*d - u + 22*d**2 = 0. C