4 - 4*z + 6*z**2 + 0 - 2*z**3. Factor t(j).
3*(j - 2)**2
Let t be (-4)/(24/(-81)) - (10/20)/(-1). Let a(f) be the first derivative of 1/6*f**3 - 1/4*f + t - 1/20*f**5 + 0*f**4 + 0*f**2. Let a(g) = 0. Calculate g.
-1, 1
Let x(m) = 3*m**3 - 5*m**2 + 13147 - m + 3*m**2 - 13145. Let s be x(1). Let -v - 1/6*v**s + 7/6 = 0. What is v?
-7, 1
Let y(k) be the second derivative of 8*k**7/21 + 14*k**6/15 - 14*k**5/5 + k**4 - k + 95. Let y(o) = 0. What is o?
-3, 0, 1/4, 1
Determine g so that -7/8*g**2 - 9/4*g + 0 + g**4 + 17/8*g**3 = 0.
-2, -9/8, 0, 1
Let f be 4/8 + -1 + 358/528. Let r = f + -1/88. Factor 0 - r*x**3 + 0*x + 0*x**2.
-x**3/6
Let l = 699/64 - -77423/192. Let k = l - 414. Factor k - 1/3*t + 1/6*t**2.
(t - 1)**2/6
Let n be -1*(26 + (3 - 6)). Let i = n - -25. Factor 20 - 15*u**i - 82*u**3 + 45*u**3 + 42*u**3.
5*(u - 2)**2*(u + 1)
Factor -j**3 + 810*j + 18 + 1272*j + 172*j**2 + 215 - 2591*j + 105.
-(j - 169)*(j - 2)*(j - 1)
Let b(v) be the first derivative of 20*v + 15/4*v**4 - 20 + 55/3*v**3 + 175/6*v**2 - 1/3*v**5. Let b(j) = 0. What is j?
-1, 12
Suppose 785*o = -521*o + 271*o - 1043*o. Factor o - 40/3*b - 5/3*b**3 + 10*b**2.
-5*b*(b - 4)*(b - 2)/3
Let q(i) = -i**3 - 3*i**2 - 3*i + 1. Let y be q(-2). Let c = -61 - -65. Factor n - n**c - y*n - 1 + 2 - 2*n**3 + 4*n.
-(n - 1)*(n + 1)**3
Factor -2 + 58/15*y - 26/15*y**2 - 2/15*y**3.
-2*(y - 1)**2*(y + 15)/15
Let t = -749/6 + 397/3. Factor -6*u**2 + t*u + 0 - 3/2*u**3.
-3*u*(u - 1)*(u + 5)/2
Let g(m) = 15*m**2 - 6*m + 84. Let u(y) = -28*y**2 + 14*y - 169. Let t(c) = 13*g(c) + 7*u(c). Solve t(v) = 0 for v.
7, 13
Factor 0*g + 0 - 157/5*g**2 + 1/5*g**3.
g**2*(g - 157)/5
What is z in -89/4*z**3 + 13/2*z**2 + 0 + 0*z - 59/4*z**4 - z**5 = 0?
-13, -2, 0, 1/4
Let i(z) = z**4 + 4*z**2 + 1. Let v(l) = -24*l**4 + 86*l**3 - 254*l**2 + 82*l - 22. Let u(k) = -44*i(k) - 2*v(k). Let u(n) = 0. Calculate n.
0, 1, 41
Suppose 2/11*w**2 + 26*w + 284/11 = 0. What is w?
-142, -1
Suppose 79*i**2 - 311*i**2 - 5*i**4 + 130*i**3 - 613*i**2 = 0. Calculate i.
0, 13
Let s(c) be the second derivative of -c**7/84 + c**6/30 + c**5/8 - c**4/4 + 1213*c. Suppose s(k) = 0. Calculate k.
-2, 0, 1, 3
Let u(h) be the third derivative of -h**5/300 + 7*h**4/20 - 147*h**3/10 + 4178*h**2. What is r in u(r) = 0?
21
Let y(u) be the third derivative of -4*u**7/735 - 29*u**6/105 - 949*u**5/210 - 261*u**4/14 - 243*u**3/7 + u**2 - 310. Determine c, given that y(c) = 0.
-27/2, -1
Let y = -1242710 + 1242712. Determine q so that 81/8*q**3 - 45*q**2 - y + 37/2*q = 0.
2/9, 4
What is q in -30*q**2 + 0*q**3 + 7306*q - 5*q**3 + 0*q**3 - 7361*q - 30 = 0?
-3, -2, -1
Let q be (-2)/(-24)*((-19314)/290 + 67)*5*8. Let -8/9*k - 4/9*k**3 + q*k**2 + 0 = 0. What is k?
0, 1, 2
Let d(r) be the third derivative of -r**6/45 - 17*r**5/60 + 11*r**4/4 + 9*r**3/2 - 289*r**2. Let d(s) = 0. What is s?
-9, -3/8, 3
Suppose -4*z = -3*l - 35, -4*z + 5*l + 22 = -15. Let n be (-58)/z - (-11 - -3). Factor 0*r + 3*r**3 + 0*r**2 + 0 - n*r**4.
-3*r**3*(r - 4)/4
Let o(f) = 10*f**3 - 198*f**2 + 777*f - 782. Let q(v) = -3*v**3 + v + 2. Let k(s) = -2*o(s) - 6*q(s). Factor k(h).
-2*(h - 194)*(h - 2)**2
Suppose 17*u + 54 = 35*u. Let l(r) be the first derivative of 0*r - 2/3*r**u + r**2 - 9. Factor l(t).
-2*t*(t - 1)
Let s(l) = -l**2 + 128*l - 3133. Let w be s(33). Let 24/11*c - 18/11 - 8/11*c**3 - 2/11*c**4 + 4/11*c**w = 0. Calculate c.
-3, 1
Let s be 3/(-9) + 3 + (-19)/(-12) + -4. Let n(l) be the first derivative of 0*l**3 - s*l**4 + 2/5*l**5 + 0*l**2 + 14 - 1/6*l**6 + 0*l. Factor n(p).
-p**3*(p - 1)**2
Suppose 460*x = 453*x + 70. Let z be x*(2 + 32/(-20)) - 4. Factor 0*j + z - 6/5*j**4 - 8/5*j**2 - 1/5*j**5 - 12/5*j**3.
-j**2*(j + 2)**3/5
Factor 6920 - 28941*y - y**3 + 6*y**3 + 3475*y**2 + 39331*y.
5*(y + 1)*(y + 2)*(y + 692)
Suppose -210 = -u - 81. Solve -6*v**2 - u + 77*v**3 - 10*v**2 - 98*v**4 + v + 129 = 0.
0, 1/7, 1/2
Let a be (-15028)/111384 - (-10)/28. Let 16/9*w**3 - 4/3*w**4 + 8/9 - 2*w + 4/9*w**2 + a*w**5 = 0. Calculate w.
-1, 1, 4
Suppose 5*w + 185 = 5*f, 7*f + 6*w - w - 163 = 0. Let b(y) be the first derivative of -8/5*y**3 - 13/5*y**2 + f - 2/5*y. Factor b(n).
-2*(n + 1)*(12*n + 1)/5
Solve -1200/11*w - 2/11*w**2 + 1202/11 = 0.
-601, 1
Let w(o) = -10*o**3 + 18*o**2 + 18*o + 14. Let h(x) = -7*x**3 + 14*x**2 + 17*x + 12. Let r(y) = -3*h(y) + 2*w(y). Suppose r(k) = 0. What is k?
-1, 8
Let k = 11458 - 11454. Let m(h) be the second derivative of 29*h + 1/10*h**k + 0*h**2 + 2/15*h**3 + 0. Factor m(z).
2*z*(3*z + 2)/5
Let w(h) be the first derivative of 1175*h**6/2 + 6*h**5/5 - 3525*h**4/4 - 2*h**3 + 6788. What is m in w(m) = 0?
-1, -2/1175, 0, 1
Let p(i) be the second derivative of i**4/28 + 12*i**3/7 + 69*i**2/14 + 11*i - 22. Factor p(b).
3*(b + 1)*(b + 23)/7
Let f be 4/6 + 28/21. Find b such that 177*b - 141*b**f - 15*b**3 - b**4 + 44*b + 5*b**3 + 338 - 15*b**3 = 0.
-13, -1, 2
Determine n, given that -3/5*n**3 + 78*n**2 + 0 - 387/5*n = 0.
0, 1, 129
Let t(i) be the first derivative of 31/12*i**2 + 17/8*i**4 - 286 + 19/30*i**5 + i + 1/18*i**6 + 59/18*i**3. Factor t(p).
(p + 1)**3*(p + 6)*(2*p + 1)/6
Let 442*r + 11520 - 676*r - 1110*r - 172*r**2 - 4*r**3 = 0. What is r?
-24, 5
Let a(j) be the second derivative of -92*j + 1/30*j**6 + 3/20*j**5 + 0 - j**2 - 1/2*j**3 + 1/12*j**4. Find p such that a(p) = 0.
-2, -1, 1
Let b(y) be the first derivative of 39/5*y**5 + 11*y**3 + 0*y + 14 + 3/2*y**2 - 75/4*y**4. Suppose b(s) = 0. What is s?
-1/13, 0, 1
Let t(d) be the first derivative of -4*d**5/5 - d**4 + 180*d**3 + 1850*d**2 + 7000*d + 1238. Factor t(k).
-4*(k - 14)*(k + 5)**3
Let d(r) = -4*r**4 - 47*r**3 - 34*r**2 - 24*r. Let t(v) = -41*v**4 - 482*v**3 - 340*v**2 - 240*v. Let p(g) = 62*d(g) - 6*t(g). Factor p(c).
-2*c*(c + 1)*(c + 4)*(c + 6)
Let m(q) be the third derivative of -7*q**5/12 + 25*q**4/12 - 1698*q**2. Determine t, given that m(t) = 0.
0, 10/7
Let v be ((-3)/2)/(240/(-800)). Factor 16 - v*l**3 + 4*l**3 - 2*l**2 + 6*l**2 - 13*l**2 + l - 7*l**2.
-(l - 1)*(l + 1)*(l + 16)
Let i(k) = -k**3 - 2*k**2 - k + 10. Let x be i(-5). Suppose x = 14*n - 9*n. Suppose n*o**3 - 2*o**2 + 20*o**3 - 36*o**3 = 0. Calculate o.
0, 1
Let y(m) be the second derivative of 1/2*m**3 + 59*m - 1 - 1/4*m**4 + 0*m**2. Find h such that y(h) = 0.
0, 1
Let f(t) = -7*t**3 + 6*t - 14. Suppose 21*i + 2*k + 16 = 17*i, -3*k = 3*i + 9. Let o(a) = -a**3 - 2. Let c(w) = i*o(w) + f(w). Suppose c(n) = 0. Calculate n.
-2, 1
Let t be 2/(-75)*-5 + (-802)/6015. Factor t*n - 7/2*n**4 + 3/2*n**3 + 0*n**2 + 0.
-n**3*(7*n - 3)/2
Let z = 13006 + -13006. Let g(b) be the third derivative of 0 + z*b - 5*b**2 + 1/240*b**5 + 0*b**3 - 1/96*b**4. Let g(t) = 0. Calculate t.
0, 1
Let d(f) = -f**3 + 3*f**2 + 8*f - 11. Let k be d(4). Suppose -30 = -5*s - 5*i, k*i - 6*i + 16 = 3*s. Determine t, given that 4*t**3 + 9*t + s*t - 18*t = 0.
-1, 0, 1
Find w, given that -3*w**5 - 3963/5*w**3 - 474/5*w**4 + 5652*w - 1488/5*w**2 - 2160 = 0.
-15, -4, 2/5, 2
Determine w so that 38820476456/15*w + 2/15*w**4 + 13544/15*w**3 + 11464996/5*w**2 + 16430766660002/15 = 0.
-1693
Factor 66336*j - 4*j**3 - 6336 - 140*j**2 - 33625*j - 34343*j.
-4*(j + 11)*(j + 12)**2
Let w(z) be the second derivative of z**4/18 - 61*z**3/9 + z - 58. Determine c, given that w(c) = 0.
0, 61
Suppose 1/2*d**2 - 51*d - 103/2 = 0. What is d?
-1, 103
Let a = 9932 - 9930. Let i(u) be the first derivative of -1/6*u**4 - 4/9*u**3 + 0*u + 8/3*u**a - 19. What is j in i(j) = 0?
-4, 0, 2
Suppose -1241*f + 92437 = 25423. Factor -363/4*x**3 - f - 3333/2*x**2 - 597*x.
-3*(x + 18)*(11*x + 2)**2/4
Let p(a) be the second derivative of -5*a + 0 + 324*a**2 + 81*a**3 + 21/32*a**5 - 1/80*a**6 - 99/8*a**4. Suppose p(c) = 0. Calculate c.
-1, 12
Let n be 1346/91 + 69/5083*68. What is j in 20/7*j**4 - 100/7*j**3 + 4 + 2/7*j**5 - n*j + 160/7*j**2 = 0?
-14, 1
Let j(p) = -p + 5. Let b(t) = 12*t - 260. Let v(w) = -b(w) - 5*j(w). Let u be v(33). Factor 0*z**2 + 0*z - 2/5*z**u + 2/5*z**3 + 0.
-2*z**3*(z - 1)/5
Let b = 21564/15625 - 29247861/7015625. Let j = 5/449 - b. Solve j*l**2 + 2 - 22/5*l - 2/5*l**3 = 0 for l.
1, 5
Let d(s) be the second derivative of s**5/100 + 659*s**4/60 + 3608*s**3 - 10890*s**2 - 101*s + 14. Determine y so that d(y) = 0.
-330, 1
Let w = -309 + 346. Let u = w - 37. Determine a, given that 