10/3
Let f(q) be the third derivative of q**3 + 0 + 1/120*q**4 - 198*q**2 + 0*q - 1/300*q**5. Factor f(z).
-(z - 6)*(z + 5)/5
Solve 1358302878/5 + 2/5*i**3 + 5274/5*i**2 + 4635846/5*i = 0 for i.
-879
Let x(v) = 123*v**2 + 23*v + 59. Let o be x(-5). Factor -66*g + 0*g**2 + 2950 + 3*g**2 - o.
3*(g - 23)*(g + 1)
Let c be (-56)/32*(-56)/49. Let w(m) be the first derivative of -1/5*m**c - 2/15*m**3 + 2/25*m**5 + 0*m + 14 + 1/10*m**4. Let w(b) = 0. What is b?
-1, 0, 1
Suppose -309 = 5*i - 3*k + 321, 5*k - 378 = 3*i. Let y be ((-3)/27)/(3/i). Factor 4/3*h**2 + 8/3 + y*h - 2/3*h**3.
-2*(h - 4)*(h + 1)**2/3
Find b, given that -3/4*b**2 - 197/4*b**3 - 197/2 + 593/4*b + 1/4*b**4 = 0.
-2, 1, 197
Let -3488*y**2 - 21*y**3 + 9*y**3 - 834*y + 14*y**3 + 3286*y**2 - 630 = 0. What is y?
-3, -1, 105
Let c = -215 + 119. Let p = 385/4 + c. Solve -p*u**2 + 1/4*u + 1/2 = 0 for u.
-1, 2
Let g(u) = -13609*u - 204133. Let h be g(-15). Suppose 0 + 3/5*x**3 - 33/5*x + 6*x**h = 0. Calculate x.
-11, 0, 1
Let g(n) = -13*n**3 + 14*n**2 + 868*n + 1737. Let r(l) = 6*l**3 - 6*l**2 - 435*l - 867. Let x(t) = -3*g(t) - 7*r(t). Let x(f) = 0. Calculate f.
-11, -2, 13
Let c(q) be the second derivative of -5/21*q**7 + 22/3*q**3 + 15*q + 0*q**2 + 19/5*q**6 - 19/2*q**4 - 2 - 17/10*q**5. Find h such that c(h) = 0.
-1, 0, 2/5, 1, 11
Let i(s) be the second derivative of 3/20*s**5 + 3*s**2 + 0 - 1/2*s**4 - 1/2*s**3 + 75*s. Factor i(q).
3*(q - 2)*(q - 1)*(q + 1)
Let p(i) = 12*i**2 + 936*i - 3837. Let r(c) = -3*c**2 - 233*c + 958. Let j(l) = 2*p(l) + 9*r(l). What is u in j(u) = 0?
-79, 4
Let s be 8827/385 + ((-9)/15)/(2167/(-985)). Determine l so that s*l**2 + 226/5*l + 2/5*l**3 + 112/5 = 0.
-56, -1
Let u(l) be the second derivative of -l**4/30 + 16*l**3/15 - 11*l**2 + 4*l + 190. Factor u(a).
-2*(a - 11)*(a - 5)/5
Let y be 1 - (-1 + -2)*1. Let w be (0 - (-45)/(-25))*(-60)/21. Factor -w*s**2 + 4*s - 4/7*s**y - 8/7 + 20/7*s**3.
-4*(s - 2)*(s - 1)**3/7
Let z(k) be the second derivative of -k**7/7 + 287*k**6/30 - 128*k**5/5 + 277*k**4/12 - 23*k**3/3 + 122*k + 3. Determine t so that z(t) = 0.
0, 1/3, 1/2, 1, 46
Suppose -30 + 36 = 3*g. Let -5*q**3 - 19*q**2 + 53*q**2 - 75*q + 6*q**g = 0. Calculate q.
0, 3, 5
Let p(t) be the second derivative of -t**4/21 - 130*t**3/21 - 912*t**2/7 - 2190*t. Find m, given that p(m) = 0.
-57, -8
Suppose 0 = 12*k - 777 - 675. Let a be (-3)/9*(-66)/k. Factor 20/11*u - a*u**2 - 50/11.
-2*(u - 5)**2/11
Let j(o) be the first derivative of 122*o**3 + 361*o**2 - 20*o + 4964. Factor j(n).
2*(n + 2)*(183*n - 5)
Suppose 6*d - 15/2*d**3 + 24 + 3/2*d**5 - 30*d**2 + 6*d**4 = 0. Calculate d.
-4, -2, -1, 1, 2
Suppose -2*h = 4*m - 28, 816*m - 817*m + 5*h = 48. Let -13/3*j - 2 + 21*j**m = 0. What is j?
-2/9, 3/7
Let h(y) = 23*y**3 - 28 - 28*y + 16*y**2 - 13*y**3 + 23 + 10*y**3. Let f(a) = -21*a**3 - 15*a**2 + 30*a + 6. Let p(r) = -5*f(r) - 6*h(r). What is k in p(k) = 0?
-2, 0, 3/5
Factor 3/2*t**5 + 838028711523/2 + 2310200259*t**2 + 842639598519/2*t + 8727/2*t**4 + 4761123*t**3.
3*(t + 1)*(t + 727)**4/2
Let h(r) be the third derivative of -r**7/70 + 9*r**6/40 + 3*r**5/2 - 25*r**4 + 2073*r**2. Suppose h(n) = 0. Calculate n.
-5, 0, 4, 10
Let x(n) = 11*n + 9. Let z be x(3). Suppose -r - z = -2*r. Determine h, given that r*h**2 + 4 + 0 - 33*h + 2 = 0.
2/7, 1/2
Let g = -43968/5 - -132029/15. Factor -1/3*s**5 + g*s**2 + 0 - 5*s**3 + 0*s - 3*s**4.
-s**2*(s - 1)*(s + 5)**2/3
Let m(n) be the second derivative of n**4/42 + 55*n**3/7 + n - 598. Suppose m(l) = 0. What is l?
-165, 0
Let i(j) = 9*j**2 - 67*j + 154. Let k(a) = 19*a**2 - 137*a + 309. Let r(u) = 9*i(u) - 4*k(u). Determine t so that r(t) = 0.
5, 6
Let c(p) be the third derivative of 0*p**4 + 1/330*p**5 + 1/660*p**6 + 2 + 0*p**3 + 48*p**2 + 0*p. Find i such that c(i) = 0.
-1, 0
Let l(w) be the first derivative of -8*w**6/27 - 5104*w**5/45 - 136105*w**4/9 - 19596856*w**3/27 - 9595544*w**2/9 - 4764064*w/9 + 1431. Solve l(x) = 0.
-106, -1/2
Factor 366*d**3 + 158*d**2 + 82*d**4 + 8*d - d - 122*d**3 + 6*d - 17*d.
2*d*(d + 1)*(d + 2)*(41*d - 1)
Factor -38 - 24 - 7*y**2 - 38*y - 17*y**2 + 82.
-2*(y + 2)*(12*y - 5)
Let a(k) be the second derivative of 135*k**5/4 + 135*k**4/4 + 15*k**3/2 - 5*k**2/2 + 226*k. Factor a(j).
5*(3*j + 1)**2*(15*j - 1)
Factor -3/7*v**3 - 1830/7 + 2739/7*v - 906/7*v**2.
-3*(v - 2)*(v - 1)*(v + 305)/7
Let l = -53 + 55. Suppose -3*s - y + 41 = 0, 3*s - 4*y - 26 = -l*y. Factor 21*m**4 - 11 + 72*m**2 - 88*m**3 - s*m**5 - 28*m + 15 + 31*m**4.
-4*(m - 1)**4*(3*m - 1)
Let p(h) be the third derivative of 3*h**5/40 + 121*h**4/8 + 239*h**3/4 - 5*h**2 + 37*h. Determine t, given that p(t) = 0.
-239/3, -1
Let g = -191 - -194. Suppose 8*r**3 - 10*r**g - 14*r**2 + 0 - 10 - 22*r = 0. What is r?
-5, -1
Let d(s) = -50*s**2 + 20*s - 7. Suppose -20 = -5*j + j. Let n(z) = -40*z**2 + 7*z**2 - 17*z**2 + 20*z - 8. Let t(h) = j*n(h) - 6*d(h). Factor t(k).
2*(5*k - 1)**2
Let b(h) be the first derivative of 7*h**6/30 - 4*h**5/15 - 10*h**2 + 3*h + 19. Let d(n) be the second derivative of b(n). Find y such that d(y) = 0.
0, 4/7
Let l(b) be the third derivative of b**6/280 + 144*b**5/35 + 1149*b**4/56 + 41*b**3 + 163*b**2 - 20*b. Solve l(j) = 0.
-574, -1
Suppose 848*u = -5*j + 878*u - 320, 3*u - 27 = 3*j. Factor -11/2*w**3 + 4*w + 3*w**j + 0 - 3/2*w**4.
-w*(w - 1)*(w + 4)*(3*w + 2)/2
Let r(w) be the third derivative of 0*w + 1/24*w**6 + 70*w**2 + 0 + 7/24*w**4 - 3/20*w**5 - 1/210*w**7 - 1/3*w**3. Solve r(u) = 0 for u.
1, 2
Let p(c) be the third derivative of c**7/420 - c**6/60 - 91*c**5/120 - 55*c**4/24 + 50*c**3 + 447*c**2 - 1. Solve p(l) = 0 for l.
-5, 2, 12
Determine x so that -17324*x**2 - 636*x - 45*x**3 + 34702*x**2 - 14981*x**2 = 0.
0, 4/15, 53
Let b(t) be the first derivative of 59/6*t**2 - 90 + 2/3*t - 59/12*t**4 - 2/9*t**3. Factor b(k).
-(k - 1)*(k + 1)*(59*k + 2)/3
Let a(r) be the second derivative of 11/4*r**2 - r + 1/40*r**5 - 16 + 3/8*r**4 - 7/4*r**3. Factor a(k).
(k - 1)**2*(k + 11)/2
Let d = -19/16906 - -67757/118342. Factor 0 - 12/7*j - 20/7*j**3 + d*j**4 + 4*j**2.
4*j*(j - 3)*(j - 1)**2/7
Let h(k) be the first derivative of 4*k**3/3 - 13*k**2/7 - 2*k/7 - 1071. Determine p so that h(p) = 0.
-1/14, 1
Let d(f) be the third derivative of f**5/330 + f**4/2 + 63*f**3/11 + 2584*f**2. Solve d(p) = 0.
-63, -3
Solve -20378/11*a**2 + 6984*a - 75272/11 + 36*a**3 - 2/11*a**4 = 0.
2, 97
Suppose -5*s + 67 = 3*d + 48, 4*d - 2 = 5*s. Let u be ((-4)/6)/((-2)/6). Factor -3*m**2 + d*m + 0*m**3 + 5*m**u + 2*m**2 + m**3.
m*(m + 1)*(m + 3)
Suppose -32*l - 20 = -34*l. Let s be (-671)/(-110) - 1 - 6/l. Factor 3/2 + s*i + 3*i**2.
3*(i + 1)*(2*i + 1)/2
Let d(t) be the first derivative of 2*t**5/45 + 373*t**4/6 - 2*t**3/27 - 373*t**2/3 - 671. Let d(i) = 0. What is i?
-1119, -1, 0, 1
Let w(b) = -b**2 - 26*b - 12. Let o be w(0). Let g be 426/45 + o/(-36). Factor -g*m**5 - 9/5*m**3 + 42/5*m**4 + 0 + 0*m + 0*m**2.
-m**3*(7*m - 3)**2/5
Let i(b) be the third derivative of b**7/1890 + 19*b**6/540 + b**5/5 - 3*b**4 - b**3/6 - 3*b**2 - 11. Let t(u) be the second derivative of i(u). Factor t(g).
4*(g + 1)*(g + 18)/3
Suppose 32/15*y**4 - 176/15 - 122/15*y**3 + 104/15*y - 2/15*y**5 + 124/15*y**2 = 0. Calculate y.
-1, 2, 11
Determine a, given that -24/5*a - 1/10*a**2 - 91/2 = 0.
-35, -13
Let l(j) be the first derivative of 15*j**3 + 0*j + 154 + 25/2*j**2 - j**5 + 15/4*j**4. Factor l(k).
-5*k*(k - 5)*(k + 1)**2
Let o(d) be the first derivative of d**5/25 + 2*d**4 + 40*d**3 + 400*d**2 + 41*d + 12. Let r(m) be the first derivative of o(m). Determine i so that r(i) = 0.
-10
Let w(p) be the second derivative of 7*p**5/30 + 190*p**4/9 + 836*p**3/9 + 208*p**2/3 + 2203*p. Factor w(f).
2*(f + 2)*(f + 52)*(7*f + 2)/3
Let a(m) = 6*m - 259. Let f be a(44). Let s(j) be the first derivative of -f*j**2 - j**5 + 10 + 5/2*j**4 + 5/3*j**3 + 0*j. Let s(h) = 0. What is h?
-1, 0, 1, 2
Let u be (-248)/10 - (-29224)/1124. Factor -x**2 - u - 17/5*x.
-(x + 3)*(5*x + 2)/5
Suppose 8 - 2/5*w**2 + 16/5*w = 0. Calculate w.
-2, 10
Let m be ((-10)/16)/((-11)/99*(-375)/(-100)). Factor -m*b**5 + 1455/2*b**2 - 1200*b + 750 - 417/2*b**3 + 57/2*b**4.
-3*(b - 5)**3*(b - 2)**2/2
Let i(b) be the third derivative of 0*b + 0 + 1/480*b**6 - 13/240*b**5 + 265*b**2 - 5/8*b**3 - 29/96*b**4. Let i(r) = 0. What is 