+ 1)/4
Let j(p) be the first derivative of -p**6/8 + 477*p**5/20 - 12639*p**4/8 + 74359*p**3/2 + 25281*p**2/8 - 446631*p/4 + 1299. Let j(c) = 0. What is c?
-1, 1, 53
Let q(v) be the second derivative of 5/12*v**4 - 18*v - 5/2*v**3 - 45*v**2 + 1. Let q(z) = 0. Calculate z.
-3, 6
Let -19/3*o**2 - 8*o + 0 + 2*o**3 + 1/3*o**4 = 0. What is o?
-8, -1, 0, 3
Let f(h) be the first derivative of -h**7/1120 - h**6/40 - h**5/8 - h**3/3 + 63*h**2/2 + 73. Let t(m) be the third derivative of f(m). Factor t(v).
-3*v*(v + 2)*(v + 10)/4
Let m(b) be the first derivative of -b**8/336 + b**6/72 - b**3/3 + 6*b**2 - 63. Let h(n) be the third derivative of m(n). Factor h(k).
-5*k**2*(k - 1)*(k + 1)
Let t(n) be the second derivative of -n**5/35 + 472*n**4/21 - 314*n**3/7 - 1241*n. Find l such that t(l) = 0.
0, 1, 471
Let x be -1 + -7 - (-14 - (11 + -15)). Let k(b) be the second derivative of 1/100*b**5 - 2/15*b**3 + 7*b + 0*b**x + 0 - 1/20*b**4. Solve k(z) = 0.
-1, 0, 4
Let h(t) be the second derivative of t**4/42 - 113*t**3/21 + 222*t**2/7 + 52*t + 32. Factor h(v).
2*(v - 111)*(v - 2)/7
Let g(j) = 2*j**4 - j**3 + 3*j - 2. Let i(h) = -h**4 + 15*h**3 - 147*h**2 - 1375*h + 9606. Let p(k) = 3*g(k) + 3*i(k). Determine a so that p(a) = 0.
-14, 7
Let j(h) be the first derivative of -h**5/20 - 7*h**4/8 - 65*h**3/12 - 25*h**2/2 - 1245. Factor j(b).
-b*(b + 4)*(b + 5)**2/4
Let u be (-47)/(-4) + ((-7)/21)/(19/627). Determine l so that 0*l**4 + 0*l - 1/4*l**5 + 0 + u*l**3 - 1/2*l**2 = 0.
-2, 0, 1
Let y(u) be the second derivative of 25*u**7/168 + 61*u**6/24 + 199*u**5/80 - 1525*u**4/48 - 91*u**3/3 + 539*u**2/2 + 659*u. Suppose y(r) = 0. What is r?
-11, -2, 7/5
Suppose -2*f = j - 5*f + 13, 3*f = -j + 11. Let k be (-9 - -1)/8 - j. Factor -9/4*v**2 + k + 3/4*v**3 + 3/2*v.
3*v*(v - 2)*(v - 1)/4
Let c be -5 - (-9)/((-1512)/6656). Let w = -310/7 - c. Find v such that w*v**2 + 10/3*v + 25/3 = 0.
-5
Let a be ((49/14)/(-7))/(2/(-24)). Let q(j) = j**2 - 12*j + 37. Let d be q(a). Factor d + 43*u**2 - 39*u**2 - 5 + 2*u**3 - 2*u.
2*(u - 1)*(u + 1)*(u + 2)
Let h(s) = -s**2 + 10*s - 14. Let m be h(8). Suppose -3*w + m*v + 12 = 0, 3*w + 2*v - 7*v = 12. Find z, given that z**2 + 1/3*z**w - 1/3*z + 0 - z**3 = 0.
0, 1
Let c(k) = -5*k**2 - 8*k + 7. Let s be c(-3). Let n be (-2 - s)*(44/21 - 2). Factor 8/7*b - n - 2/7*b**2.
-2*(b - 2)**2/7
Let n(i) be the third derivative of -i**8/80640 - i**7/252 - 5*i**6/9 + i**5/20 + 4*i**3/3 - 145*i**2. Let b(c) be the third derivative of n(c). Factor b(w).
-(w + 40)**2/4
Let c(w) = -w**2 + 15036*w + 11295066. Let x(p) = -p**2 - 15034*p - 11295059. Let f(n) = 2*c(n) + 3*x(n). Let f(j) = 0. Calculate j.
-1503
Let y(o) be the third derivative of -1/72*o**6 - 1/630*o**7 - 2*o**2 + 1/9*o**4 + 1/180*o**5 + 1/1008*o**8 + 2/9*o**3 + 0*o - 91. Factor y(g).
(g - 2)**2*(g + 1)**3/3
Determine l so that 1/2*l**4 - 5/2 + 7*l - 6*l**2 + l**3 = 0.
-5, 1
Let g(f) be the second derivative of -f**6/720 - f**5/60 - f**4/12 + 13*f**3/6 - 18*f. Let x(l) be the second derivative of g(l). Suppose x(z) = 0. What is z?
-2
Let q(o) = 13 - o**3 + 3*o**2 + 6*o**2 + 0*o**3 - o + 10*o. Let z be q(10). Factor -10*r + z - 2*r**2 - 1 + 2 + 8.
-2*(r - 1)*(r + 6)
Let z = -2/91 - -253/10920. Let q(d) be the third derivative of z*d**6 + 0*d - 1/42*d**4 - 1/210*d**5 + 23*d**2 + 4/21*d**3 + 0. Solve q(a) = 0 for a.
-2, 2
Let b = 887 - 878. Let s(h) be the first derivative of b + 1/2*h**6 - h**3 - 3/4*h**4 + 0*h + 3/5*h**5 + 0*h**2. Factor s(k).
3*k**2*(k - 1)*(k + 1)**2
Let m = 84194 + -84194. Factor -3/7*t + 1/7*t**3 - 2/7 + m*t**2.
(t - 2)*(t + 1)**2/7
Let r be (-166473)/(-7155) - (-9)/(-15). Let 16/3*b**3 + 80/3*b**2 + 16/3 + r*b = 0. Calculate b.
-4, -1/2
Let b(w) be the third derivative of w**7/6300 + 29*w**6/1800 + 31*w**4/3 + 34*w**2 - 2*w. Let q(g) be the second derivative of b(g). Factor q(k).
2*k*(k + 29)/5
Suppose 147*z + 4 = 149*z. Find i, given that -5*i**3 + 25*i**4 - i**2 + 4*i**z - 33*i**3 + 3*i**2 - 4*i**5 + 2*i**2 = 0.
0, 1/4, 2, 4
Suppose 6*i = 14*i - 8. Let t be (-45)/15 + ((-114)/(-27) - i). Let t - 1/3*f**3 - 1/9*f**4 + 1/3*f - 1/9*f**2 = 0. What is f?
-2, -1, 1
Let f(m) be the first derivative of 1/2*m**3 + 3/4*m**2 - 81 + 0*m. Solve f(h) = 0.
-1, 0
Let u(p) = 14*p**2 - 806*p + 10910. Let d(y) = -2*y**2 + 115*y - 1559. Let z = -282 + 238. Let n(l) = z*d(l) - 6*u(l). Factor n(t).
4*(t - 28)**2
Let x = 1471 + -2863. Let o = 1395 + x. What is m in -8/3*m**o + 4/3 - 4/3*m**2 + 2*m + 2/3*m**5 + 0*m**4 = 0?
-1, 1, 2
Let j(d) = 26*d**3 + 4*d**2 - 2453*d + 22769. Let i(b) = -7*b**3 - b**2 + 613*b - 5693. Let w(n) = 11*i(n) + 3*j(n). Factor w(h).
(h - 14)**2*(h + 29)
Let n(x) be the third derivative of 3*x**3 + 0*x + 0 - 18*x**2 - 1/480*x**5 - 1/48*x**4 + 1/1440*x**6. Let g(c) be the first derivative of n(c). Factor g(t).
(t - 2)*(t + 1)/4
Let b(u) be the first derivative of 2*u**6/3 - 12*u**5/5 - 6*u**4 + 40*u**3/3 + 42*u**2 + 36*u + 5448. Solve b(i) = 0 for i.
-1, 3
Factor 0*k**2 + 168/5 + 4/5*k**3 - 172/5*k.
4*(k - 6)*(k - 1)*(k + 7)/5
Let k(o) be the first derivative of -72/7*o + 12/7*o**2 - 2/21*o**3 - 4. Factor k(n).
-2*(n - 6)**2/7
Let i(q) = -15*q**2 + 1284*q + 407028. Let x(y) = 2*y**2 - y + 2. Let k(d) = 5*i(d) + 40*x(d). Factor k(p).
5*(p + 638)**2
Let q(r) = 5*r**3 + 177*r**2 - 163*r - 1976. Let y be q(-36). Let 5/2*t**3 - 10*t - 5*t**2 + 5/4*t**y + 0 = 0. What is t?
-2, 0, 2
Suppose -7675*c = -7567*c - 324. Factor 0 - 12/13*y**c - 6/13*y - 16/13*y**2 + 0*y**4 + 2/13*y**5.
2*y*(y - 3)*(y + 1)**3/13
Let v(n) be the first derivative of -125 - 1/4*n**3 - 1/16*n**4 - 7*n + 3*n**2. Solve v(g) = 0.
-7, 2
Factor -101/2*z + 57 - 7*z**2 + 1/2*z**3.
(z - 19)*(z - 1)*(z + 6)/2
Let s be 3756/(-184) + (-28)/322. Let j = s - -213/10. Factor 0*y**2 + 0*y - 3/10*y**5 + 3/10*y**3 - j*y**4 + 0.
-y**3*(y + 3)*(3*y - 1)/10
Solve -2/5*f**2 - 72/5*f - 486/5 = 0 for f.
-27, -9
Suppose l - 3*l = 5*z + 42, -4*l - 84 = -3*z. Let p = l - -23. Let -p*i**2 + 4*i**2 + 13*i**3 + i**2 - i**3 = 0. Calculate i.
-1/4, 0
Suppose -4*a = 339 - 15. Let i = -64 - a. Determine t, given that -5 - 3*t**2 + i - 2*t**2 + 8 = 0.
-2, 2
Let y(a) = a**2 - 12*a + 58. Let z be y(7). Factor b**3 + z*b**3 + 7*b**5 - 5*b**5 + b**5 + 12*b**2 + 15*b**4.
3*b**2*(b + 1)*(b + 2)**2
Factor 29/2 + 13*d**3 + 43*d + 42*d**2 - 1/2*d**4.
-(d - 29)*(d + 1)**3/2
Let c(o) be the second derivative of o**4/18 + 32*o**3/9 + 84*o**2 - 944*o. Solve c(l) = 0 for l.
-18, -14
Let i(n) be the second derivative of -7*n**6/195 - 2*n**5/5 - 24*n**4/13 - 176*n**3/39 - 80*n**2/13 - 7265*n. Factor i(j).
-2*(j + 2)**3*(7*j + 10)/13
Let c be (9131/(-161) - -57)*(-7)/(-5). Factor -234/5*t**2 + 6962/5 + c*t**3 + 6726/5*t.
2*(t - 59)**2*(t + 1)/5
Let -264/5 + 3/5*a**3 + 531/5*a - 54*a**2 = 0. Calculate a.
1, 88
Let t(p) be the third derivative of p**7/35 + p**6/180 - p**4/12 - 25*p**3/6 - 171*p**2. Let i(s) be the second derivative of t(s). Solve i(c) = 0 for c.
-1/18, 0
Let l(d) be the third derivative of d**6/420 - d**5/70 - 17*d**4/42 - 16*d**3/7 - 1034*d**2. Find x such that l(x) = 0.
-3, -2, 8
Let w(x) be the third derivative of -x**5/15 + 101*x**4/6 - 132*x**3 + 250*x**2 - 1. Determine j so that w(j) = 0.
2, 99
Let r(s) be the second derivative of s**6/72 - s**5/12 - 5*s**4/8 - 5*s**3/6 - s**2 + 46*s. Let u(p) be the second derivative of r(p). Factor u(m).
5*(m - 3)*(m + 1)
Let n(z) be the first derivative of z**7/70 - z**6/4 + 29*z**5/20 - 4*z**4 + 6*z**3 - 77*z**2/2 - 112. Let l(k) be the second derivative of n(k). Factor l(f).
3*(f - 6)*(f - 2)*(f - 1)**2
Let z(n) = 2*n**2 + 8*n - 38. Let g be z(-7). Let p(o) be the second derivative of -16/5*o**2 - 1/30*o**g + 0 + 8*o - 8/15*o**3. Factor p(l).
-2*(l + 4)**2/5
Let a(v) = -53*v - 189. Let w be a(9). Let o = w - -666. Factor o*c - 2/3*c**2 + 8/3*c**3 + 0.
2*c**2*(4*c - 1)/3
Let u(i) = 4*i**4 - 525*i**3 - 61997*i**2 + 126002*i. Let f(t) = -t**4 + 5*t**3. Let h(w) = 5*f(w) + u(w). Factor h(d).
-d*(d - 2)*(d + 251)**2
Suppose -2*n = -23621 + 23621. Determine w so that -18*w**3 - 44*w**2 - w**4 + n + 1/2*w**5 - 32*w = 0.
-2, 0, 8
Let k = 518 + -516. Let d be (-1030)/(-2320) - 16/232. Factor 9/8 + 3/2*s + d*s**k.
3*(s + 1)*(s + 3)/8
Let u be (-15)/(-3) + -6 + 7/3. Let f(m) be the first derivative of -5/6