be the second derivative of 2*w + 0*w**2 + 1/14*w**4 - 4/21*w**3 + 1/70*w**5 - 24. Factor n(v).
2*v*(v - 1)*(v + 4)/7
Factor -100/3*q - 100/3 + 1/3*q**3 + 1/3*q**2.
(q - 10)*(q + 1)*(q + 10)/3
What is o in -324/5*o - 72/5*o**2 - 336/5 + 3/5*o**3 = 0?
-2, 28
What is h in 0 + 2/3*h**2 - 698/3*h = 0?
0, 349
Let p(l) be the second derivative of -l**5/10 - 65*l**4/6 - 41*l**3 + 189*l**2 - 46*l - 81. Let p(k) = 0. What is k?
-63, -3, 1
Let s be (8 + -10)*((-325)/10)/5. Let l be (0/(4 - s))/1. Factor 4/3*y**2 + 2*y**3 + 1/3*y + 4/3*y**4 + 1/3*y**5 + l.
y*(y + 1)**4/3
Let a(g) be the second derivative of 3*g**5/160 - 3*g**4 + 549*g**3/16 - 1215*g**2/8 - 288*g - 14. Find z such that a(z) = 0.
3, 90
Let j be (-2)/5 + (11051/215 - 49). Suppose -6/5*g - 2/5*g**j - 4/5 = 0. Calculate g.
-2, -1
Let y(z) be the first derivative of z**5/510 + 3*z**4/34 + 64*z**2 + 72. Let l(n) be the second derivative of y(n). Determine a so that l(a) = 0.
-18, 0
Let 20909*g**4 + 206*g**2 + 2*g**2 + 8*g**2 + 116*g + 4*g**5 + 136*g**2 + 360*g**3 - 20781*g**4 = 0. What is g?
-29, -1, 0
Determine t so that 6*t + 5*t**2 - 5*t**2 + 12*t**2 - 80 + 5*t - 11*t**2 = 0.
-16, 5
Let u be (-152768)/(-75152) - 2/61. Factor 1/5*f**u + 24/5*f + 144/5.
(f + 12)**2/5
Let x(c) be the first derivative of 19 + 5/2*c**2 - 2*c + c**3. Suppose x(w) = 0. Calculate w.
-2, 1/3
Let n be (-3 + 0)*(-6 + (-48)/(-9)). Let k(g) = 3*g**2 + 7*g**2 - 6*g**n - 3*g**2. Let b(f) = 2*f**2. Let r(j) = b(j) - 6*k(j). Find l such that r(l) = 0.
0
Factor -143/4*a**2 - 1/4*a**3 + 0 + 36*a.
-a*(a - 1)*(a + 144)/4
Let m(g) be the first derivative of g**3 + 153*g**2 + 303*g - 4417. Factor m(d).
3*(d + 1)*(d + 101)
Let o(g) = -5*g**3 + 351*g**2 - 4*g - 8. Let s(t) = 42*t**3 - 2808*t**2 + 33*t + 66. Let m(k) = 33*o(k) + 4*s(k). Find w, given that m(w) = 0.
-117, 0
Let n(t) = t**3 + 13*t**2 + 3*t - 11. Let z be n(-12). Factor -2*c**2 - 16*c + z*c + 5*c**2 + 151*c + 3468 - 28*c.
3*(c + 34)**2
Suppose 2/13*t**2 + 0 + 298/13*t = 0. Calculate t.
-149, 0
Suppose -649*y = -271*y - 756. Factor -22 - 4*z - 2/11*z**y.
-2*(z + 11)**2/11
Let i(q) be the second derivative of q**4/18 + 71*q**3/9 - 270*q**2 + 7231*q. Find l, given that i(l) = 0.
-81, 10
Factor 0*t + 0*t**2 + 470/11*t**3 + 0 - 2/11*t**4.
-2*t**3*(t - 235)/11
Let -35*a**2 - 470*a + 2880*a**3 + 974*a**4 - 723*a**4 - 656*a**4 - 560 - 1410*a = 0. What is a?
-4/9, 1, 7
Let d(q) = 5*q**3 + q**2 + 4*q - 1. Let r be d(-4). Let w = r - -2249/7. Factor -2/7 + w*x**2 + 0*x.
2*(x - 1)*(x + 1)/7
Suppose 14/13*c**2 + 0*c**3 - 4/13*c - 18/13*c**4 + 0 = 0. What is c?
-1, 0, 1/3, 2/3
Let m(p) be the second derivative of -p**4/15 + 1814*p**3/15 - 1812*p**2/5 - 254*p + 7. Solve m(o) = 0.
1, 906
Let a(l) = 135*l**3 + 739*l**2 - 2372*l + 598. Let v(z) = -338*z**3 - 1848*z**2 + 5928*z - 1496. Let r(q) = 12*a(q) + 5*v(q). What is o in r(o) = 0?
-38/5, 2/7, 2
Let u(c) be the third derivative of -c**6/200 + 523*c**5/100 - 68643*c**4/40 + 68121*c**3/10 - 1213*c**2. Factor u(s).
-3*(s - 261)**2*(s - 1)/5
What is t in 7003 + 3050*t + 6434 - 45*t**3 - 14117 - 3015*t**2 = 0?
-68, 1/3, 2/3
Let x(b) be the first derivative of -b**6/9 + 22*b**5/15 - 11*b**4/3 - 40*b**3/3 + 24*b**2 - 3071. Let x(g) = 0. What is g?
-2, 0, 1, 6
Let n(u) be the second derivative of 51*u**5/80 + 409*u**4/8 + 1236*u**3 + 432*u**2 - 773*u - 2. Factor n(i).
3*(i + 24)**2*(17*i + 2)/4
Let r = 7595/6 - 37957/30. Let l(u) be the first derivative of -8/25*u**5 - r*u**4 - 6 - 8/15*u**3 + 0*u - 1/15*u**6 - 1/5*u**2. Factor l(j).
-2*j*(j + 1)**4/5
Let x(g) = 5*g**3 + 2*g**2 - 7*g. Let d(h) = -23*h**2 + 42*h - 14*h**3 + 16*h**2 - 1 - 20*h. Let t(r) = -6*d(r) - 17*x(r). Factor t(v).
-(v - 6)*(v - 1)**2
Find w, given that -326/9*w + 88/9*w**2 - 2/9*w**3 + 80/3 = 0.
1, 3, 40
Let t(k) be the third derivative of -k**8/4200 + k**6/75 - 4*k**5/75 + 15*k**3 + 86*k**2 + 2. Let d(z) be the first derivative of t(z). Factor d(v).
-2*v*(v - 2)**2*(v + 4)/5
Let h(a) be the third derivative of -a**6/360 - 13*a**5/10 + 59*a**4/9 + 48*a**2 + 9. Find p, given that h(p) = 0.
-236, 0, 2
Let n(d) be the first derivative of -5*d**4/24 - 23*d**3/18 - 5*d**2/6 + 4*d/3 - 1261. Factor n(y).
-(y + 1)*(y + 4)*(5*y - 2)/6
Let v be (-1*(-20)/6)/((-70)/(-12) - 5). Let y(d) be the first derivative of -8/3*d**3 - 4*d**2 - 1/2*d**v + 0*d + 28. Suppose y(w) = 0. What is w?
-2, 0
Let q(t) be the third derivative of 35*t**2 + 25/3*t**3 - 15/8*t**4 + 0 + 0*t - 1/12*t**5. Let q(r) = 0. What is r?
-10, 1
Let c(y) be the second derivative of -y**4/3 + 12244*y**3/3 - 18739442*y**2 - 352*y + 4. Factor c(o).
-4*(o - 3061)**2
Determine a, given that -154*a + 2/7*a**4 + 682/7*a**2 + 492/7 - 14*a**3 = 0.
1, 6, 41
Let c(s) be the second derivative of s**5/60 - s**4 - 625*s**3/18 - 98*s**2 + 1406*s + 2. Find r, given that c(r) = 0.
-12, -1, 49
Let i be (-84)/77*(-264)/504. Factor 0 + 8/7*x**3 - 8/7*x + 4/7*x**2 - i*x**4.
-4*x*(x - 2)*(x - 1)*(x + 1)/7
Let t(s) be the second derivative of -s**5/80 - 85*s**4/16 - 1461*s. Factor t(k).
-k**2*(k + 255)/4
Let p(d) be the first derivative of -10/11*d**3 - 108 - 6/11*d**4 + 0*d + 0*d**2. Factor p(y).
-6*y**2*(4*y + 5)/11
Let f = 131863/197781 + -3/65927. Solve -52/21*x**3 + 0*x + 16/21*x**2 + 0 - f*x**4 = 0.
-4, 0, 2/7
Let k be (5421/42 + -3)/((-10)/(-40)). Let c = k - 504. What is w in -6/7*w**5 + 6/7*w**3 + 0 - 2/7*w**2 + c*w**4 + 0*w = 0?
-1, 0, 1/3, 1
Let f(k) be the first derivative of -k**7/280 - k**6/40 + 3*k**5/20 + k**4 - 8*k**3/3 - 6*k**2 + 223. Let n(a) be the third derivative of f(a). Solve n(r) = 0.
-4, -1, 2
Let c(m) = m**3 + 11*m**2 - 23*m + 42. Let g be c(-13). Let n be 2/((-14)/10 + g). Determine k so that 5/4*k**2 + 0 - 1/2*k + 9/4*k**3 - 7/4*k**5 - n*k**4 = 0.
-1, 0, 2/7, 1
Suppose -28 - 22*x**3 + 8/5*x**4 + 444/5*x**2 - 442/5*x = 0. What is x?
-1/4, 2, 5, 7
Suppose -220/3 + 40*a**2 + 425/3*a = 0. Calculate a.
-4, 11/24
Let h = 23954/3 + -7984. Find f such that h*f**2 + 62/3 - 64/3*f = 0.
1, 31
Let y be 85/(-210) + 6/14. Let d(s) be the third derivative of 3*s**2 + 0 + 1/420*s**5 - y*s**3 + 0*s**4 + 0*s. Solve d(f) = 0 for f.
-1, 1
Let b = 106 - 104. Suppose 19021*o**b - 11*o - 24 + 6 - 19022*o**2 = 0. What is o?
-9, -2
Let v be (-112)/(-21)*3/4. Factor 2*g - 67 - 2*g**2 + 63 + v*g**2.
2*(g - 1)*(g + 2)
Factor 68526 + k**4 + k**4 - 188848*k**3 + 188996*k**3 + 24300*k + 3024*k**2.
2*(k + 9)**3*(k + 47)
Suppose -41*n - 1005 = -2850. Suppose -n*p + 51*p = 24. Determine q, given that 1/2*q**2 - 2/3 - 1/2*q**p + 4/3*q**3 - 2*q = 0.
-1, -1/3, 2
Let n(m) be the second derivative of -5*m**4/24 + 4105*m**3/6 + 8631*m. Solve n(j) = 0.
0, 1642
Let p(q) be the third derivative of q**5/240 - 29*q**4/24 + 19*q**3/2 - 522*q**2 + q. Factor p(t).
(t - 114)*(t - 2)/4
Let f(v) be the second derivative of -v**6/6 + 399*v**5/4 - 88445*v**4/4 + 11763185*v**3/6 + 756*v. Find a, given that f(a) = 0.
0, 133
Let q(d) be the first derivative of -d**4/12 - 2*d**3/9 + d**2/2 + 191. Factor q(b).
-b*(b - 1)*(b + 3)/3
Let -3/2*v**2 + 21*v + 441/2 = 0. What is v?
-7, 21
Factor -9240*h + 0*h**2 - 2*h**2 + 677560 + 4*h**2 - 4*h**2 - 11349760.
-2*(h + 2310)**2
Let o = 15235 - 106643/7. Find t such that -8/7*t**2 + o + 6/7*t**4 - 4/7*t + 4/7*t**3 = 0.
-1, 1/3, 1
Determine a, given that 80 - a**2 - 154*a + 39*a + 48*a + 61*a - a**2 = 0.
-8, 5
Let w = 33387 - 33383. Let x be (8/(-14))/((-6)/21). Factor a - 9/2*a**x + 6*a**3 + 0 - 5/2*a**w.
-a*(a - 1)**2*(5*a - 2)/2
Let p(l) = -l**2 - l - 6. Let m(w) = 9*w**2 + 1037*w + 66594. Let y(j) = -m(j) - 5*p(j). Find r such that y(r) = 0.
-129
Let a = -7455/8 - -7467/8. Let b(c) be the first derivative of 0*c + a*c**4 + 2/5*c**5 + 2*c**3 - 35 + c**2. Determine z, given that b(z) = 0.
-1, 0
Let n be (26368/(-800) - (-120)/6)/((-4)/10). Determine i, given that -6*i**3 - 81/5 - 3/5*i**4 - n*i - 108/5*i**2 = 0.
-3, -1
Let w = -258 + 263. Let m(k) = -4*k**2 + 10*k + 8. Let i(f) = 8*f**2 - 20*f - 17. Let a(p) = w*m(p) + 2*i(p). Let a(j) = 0. What is j?
-1/2, 3
Let w be ((-45)/10)/(3/(-4)). Let m be (2 - w)/(-1) - 0. Find c, given that 2*c**4 + m*c + 59*c**3 - 2*c**2 + 0*c**2 - 63*c**3 = 0.
-1, 0, 1, 2
Let w(p) be the first derivative of -p**6/12 + p**5 + 101*p**4/8 + 143*p**3/3 + 83*p**2 + 68*p - 2397. Factor w(o).
-(o - 17)