*2 + 1/21*q**4 + 0. Factor v(f).
2*(f - 1)*(f + 1)*(f + 2)/7
Let w(o) be the first derivative of 94/3*o**3 + 0*o + 3/2*o**4 - 16*o**2 - 91. Suppose w(j) = 0. Calculate j.
-16, 0, 1/3
Factor -1/6*z**2 + 0 + 13/6*z.
-z*(z - 13)/6
Let l(s) be the second derivative of s**5/5 + 8*s**4/3 + 6*s**3 - 36*s**2 - 964*s. Determine k, given that l(k) = 0.
-6, -3, 1
Let j be 42/54*(-22)/(-154)*1. Factor 4/3*w**4 - 49/3*w + 0 - 140/9*w**2 + 2*w**3 + j*w**5.
w*(w - 3)*(w + 1)*(w + 7)**2/9
Let r be 4/(-12)*(236/(-16) + 14). Let -1/2*d**2 + 0 + 1/4*d**3 + r*d**4 + 0*d = 0. What is d?
-2, 0, 1
Let d(o) = -o + 7*o**3 + 20*o**4 + o**5 + 14*o**4 - 38*o**4 - 4*o**2. Let q(v) = v**3 - 2*v. Let x(m) = -4*d(m) + 4*q(m). Factor x(s).
-4*s*(s - 1)**4
Let u(f) = f**3 - 17*f**2 + 3*f - 47. Let k be u(17). Suppose -4*h + 31 = 19, -4*z + 4*h = k. What is m in 3/2*m - 3/4*m**z - 3/4 = 0?
1
Suppose 4*z + 6713 = 3*p, -3*z - 1455 = -4*p + 3578. Let a = z - -1682. Factor -24/7 + 16/7*n**2 + 4/7*n**a + 4/7*n.
4*(n - 1)*(n + 2)*(n + 3)/7
Let l(x) = -3*x**3 + 9*x**2 + 13*x + 6. Suppose -j + 3*f + 26 = -5*j, -3*j = 3*f + 21. Let s be l(j). Factor -561 - 5*a**2 + s + a - 21*a.
-5*(a + 2)**2
Let u(t) = 21*t**2 + 31*t - 85. Let g(i) = -48*i**2 - 64*i + 169. Let o(f) = -3*g(f) - 7*u(f). Let o(j) = 0. What is j?
-11, 8/3
Suppose 278*g - 52 = 276*g. Factor -70 + g*b - 68 + 216 - 3*b**2 - 69.
-(b - 9)*(3*b + 1)
Let d(f) be the third derivative of 0*f**3 + 0*f**4 + 0 + 98*f**2 + 1/42*f**7 + 1/3*f**6 + f**5 + 0*f. Factor d(r).
5*r**2*(r + 2)*(r + 6)
Let 7*j**2 + 16 - 110 - 5*j**2 - 32*j + 6*j - 42 = 0. Calculate j.
-4, 17
Let d(r) = -r**4 - 2*r**2 - r. Let t(i) = -21*i**3 - 6*i**2 - 3*i. Suppose -2*p = -4*s, 6*s + 3*p = 10*s - 2. Let j(q) = s*t(q) + 3*d(q). Factor j(m).
-3*m**3*(m - 7)
Factor -22*p**3 + 26*p**3 - 1604*p**2 - 437*p - 1235*p + 56*p + 3216.
4*(p - 402)*(p - 1)*(p + 2)
Let c(m) = 4*m**4 + m**3 - m**2 + 1. Let j(o) = -9*o**5 - 154*o**4 + 511*o**3 - 481*o**2 + 175*o - 17. Let g(k) = 15*c(k) - 3*j(k). Solve g(r) = 0 for r.
-22, 1/3, 1
Let t be 4*(9 - 248/32). Determine p, given that 12*p**5 + p**5 - 3*p**5 - 9*p**5 + 4*p**t = 0.
0
Let n be (18 + -9 + -8)*(-2)/(-18)*33. Let h(a) be the second derivative of -n*a**2 + 10/9*a**3 + 18*a + 1/18*a**4 + 2. Determine q, given that h(q) = 0.
-11, 1
Suppose 315/2 + 5/2*j**2 - 40*j = 0. Calculate j.
7, 9
Let x = -1052119 + 1052123. Solve 285/7*t**2 + 3/7*t**5 - 450/7*t + 643/7*t**3 + 0 - 89/7*t**x = 0.
-1, 0, 2/3, 15
Solve 2*s**3 - 1/7*s**4 - 144/7 - 73/7*s**2 + 24*s = 0 for s.
3, 4
Let y = -1 - -5. Let m(a) = 3*a**2 - 19*a - 17. Let i(c) = 285*c**2 - 18*c - 235 + 219 - 283*c**2. Let x(p) = y*m(p) - 5*i(p). Factor x(q).
2*(q + 1)*(q + 6)
Suppose f + 23 = z + 3*f, 3*z - 5*f - 36 = 0. Factor 17*p - 3 + 8*p**2 - 4 + z + p**3.
(p + 1)*(p + 2)*(p + 5)
Factor -81*c**2 + 12*c**4 - 120*c**2 - 6*c**5 + 2*c**5 + 288*c - 7*c**2 + 0*c + 40*c**3 - 128.
-4*(c - 2)**3*(c - 1)*(c + 4)
Let x(w) be the third derivative of -w**5/12 + 185*w**4/8 + 1150*w**3/3 - 3563*w**2. Factor x(g).
-5*(g - 115)*(g + 4)
Let j = 687 - 320. Let b = j + -1465/4. Solve -b*f**5 - 3/2*f**2 + 7/4*f + 2*f**4 - 1/2 - f**3 = 0.
-1, 2/3, 1
Suppose 23 - 11 = y. Suppose -42*a**2 - 150 + 115*a + y*a**2 + 29*a**2 + 36*a**2 = 0. Calculate a.
-30/7, 1
Let n(d) be the first derivative of -d**5/5 + 13*d**4/8 - 17*d**3/6 - 3*d**2 + 1663. Factor n(f).
-f*(f - 4)*(f - 3)*(2*f + 1)/2
Let j(n) = -18*n + 157*n - 190 + 11*n**3 - 44*n**2 + 680. Let i(l) = -13*l**3 + 43*l**2 - 140*l - 491. Let r(u) = -4*i(u) - 5*j(u). Factor r(p).
-3*(p - 9)**2*(p + 2)
Suppose 0*f - 12 = 6*f. Let u be (70/10 - 5) + f/6. Solve -25/6 - 1/6*l**2 + u*l = 0 for l.
5
Let g(r) be the second derivative of 7*r**4 - 162*r + 270*r**2 - 66*r**3 - 1/5*r**5 + 0. Factor g(b).
-4*(b - 15)*(b - 3)**2
Let q be (21/78)/(-7)*-1. Let i = 49/78 + q. Factor i + 2/3*o**2 + 4/3*o.
2*(o + 1)**2/3
Let f(q) be the third derivative of -1/48*q**5 + 43*q**2 + 0*q + 0 + 1/480*q**6 + 0*q**3 + 1/16*q**4. Factor f(n).
n*(n - 3)*(n - 2)/4
Suppose -375 - 325*n**3 - 1631 - 80*n**4 - 5*n**5 + 458*n - 432*n + 350*n**2 + 2554*n - 514 = 0. Calculate n.
-7, -6, 1, 2
Find x, given that -104/7*x**2 - 96/7 + 36/7*x**3 - 208/7*x + 4/7*x**5 + 32/7*x**4 = 0.
-6, -2, -1, 2
Let n = 26 + -27. Let j(o) = 7*o**2 - 1. Let g be j(n). What is z in z**3 - 9*z**4 - 3*z**5 - z**3 + g*z - 3*z**3 + 9*z**2 = 0?
-2, -1, 0, 1
Let p(x) be the first derivative of -94 + 1/6*x**2 + 1/9*x**3 - 2*x. Find i such that p(i) = 0.
-3, 2
Let h(w) be the first derivative of 2*w**3/27 + 20*w**2/9 + 8*w - 227. Determine n so that h(n) = 0.
-18, -2
Let c(h) be the first derivative of 163 - 16*h - 289*h**4 - 884/3*h**3 + 128*h**2. Factor c(v).
-4*(v + 1)*(17*v - 2)**2
Let t(b) be the second derivative of -3*b**2 + 0 - 62*b - 61/15*b**3 - 2/15*b**4. Find s, given that t(s) = 0.
-15, -1/4
Let j = 40288 + -80575/2. Factor 3/2*v - j*v**2 - 1.
-(v - 2)*(v - 1)/2
Suppose 12*b - 9*b - s = 14, 5*b = -3*s + 28. Let f(y) be the third derivative of 1/3*y**4 + 1/15*y**b + 0*y**3 + 0*y + 16*y**2 + 0. Factor f(c).
4*c*(c + 2)
Factor 38/5*p**2 + 62/5*p - 102/5 + 2/5*p**3.
2*(p - 1)*(p + 3)*(p + 17)/5
Let i be 2388 - 2458 - (-298)/4. Find q such that i - 1/4*q**2 + 7/4*q = 0.
-2, 9
Let i = -1/22714 + 7904477/113570. Let y = -69 + i. Factor 0 - 3/5*x**3 - y*x - 6/5*x**2.
-3*x*(x + 1)**2/5
Let a = -5005347/2 + 2502714. Let n(i) = -i + 2. Let o be n(0). Factor -17/2*m**3 - 1/2*m**4 - 63/2*m**o + 0 + a*m.
-m*(m - 1)*(m + 9)**2/2
Find j such that 115/4*j - 1/4*j**2 + 177/2 = 0.
-3, 118
Let c be (-8)/10*2240/128. Let p be (133/c - -9)/(1/(-3)). Factor -3/2*s**2 - p*s**3 + 3/4*s**4 + 3/4*s**5 + 3/4 + 3/4*s.
3*(s - 1)**2*(s + 1)**3/4
Factor -5/4*k**2 - 73/4*k + 1/4*k**3 + 77/4.
(k - 11)*(k - 1)*(k + 7)/4
Let s(v) be the third derivative of -v**6/660 + 43*v**5/110 - 1849*v**4/44 + 79507*v**3/33 - 2*v**2 + 264*v. Factor s(b).
-2*(b - 43)**3/11
Let l be 40/80*(0 - 0). Factor -1156*n - 1052*n + 75*n**2 + 1848*n + 540 - 5*n**3 + l*n**3.
-5*(n - 6)**2*(n - 3)
Let c(n) = 5*n**5 + 13*n**4 + n**3 - 17*n**2 - 6*n - 4. Let r(l) = l**5 + 2*l**4 - l**2 - l - 3. Let v(i) = -c(i) + 4*r(i). Determine a, given that v(a) = 0.
-4, -2, -1, 1
Let k(r) be the third derivative of 1/3024*r**8 + r**2 + 1/360*r**6 + 0*r**3 - 108 + 0*r - 2/945*r**7 + 0*r**4 + 0*r**5. Factor k(m).
m**3*(m - 3)*(m - 1)/9
Let j(f) be the second derivative of 23*f**3 + 34*f**2 + 0 + 41*f + 1/3*f**4. Determine y, given that j(y) = 0.
-34, -1/2
Let d(u) be the first derivative of -u**5/15 - u**4/12 + 58*u**3/9 + 56*u**2/3 + 3949. Find l such that d(l) = 0.
-7, -2, 0, 8
Let o(c) = -2*c**2 + 6*c. Let i(u) = 3*u**2 - 8*u. Let m(w) = 3*i(w) + 4*o(w). Let t(q) = 10*q**2. Let n(a) = -8*m(a) + t(a). Suppose n(s) = 0. Calculate s.
0
Let l(c) be the first derivative of 0*c**2 + 0*c + 288 + 7/4*c**4 - 1/6*c**6 + 10/3*c**3 - 4/5*c**5. Let l(x) = 0. What is x?
-5, -1, 0, 2
Suppose 0 = -3*m + 4*h + 50, 433*m - 48 = 431*m + 4*h. Factor -13*u - 1/4*u**4 - 6 - 11/4*u**3 - 19/2*u**m.
-(u + 1)*(u + 2)**2*(u + 6)/4
Let r(g) = 37 + 0*g**3 + g**3 - 22*g + 19*g**2 - 73. Let o be r(-20). Find t such that 534*t**2 + 5*t**5 + 630*t**3 + 1086*t**2 + 95*t**o + 1006*t + 74*t = 0.
-6, -1, 0
Let h(c) be the second derivative of -c**4/36 - 10*c**3/9 - 91*c**2/6 - 1299*c. Factor h(b).
-(b + 7)*(b + 13)/3
Let x = -6080 - -182401/30. Let d(l) be the second derivative of -1/9*l**3 + x*l**5 + 0 - 9*l + 1/9*l**4 - 2/3*l**2. Let d(g) = 0. What is g?
-2, -1, 1
Let v(z) be the third derivative of -z**5/60 + 245*z**4/3 - 480200*z**3/3 + 90*z**2 - 5*z. Find t such that v(t) = 0.
980
Let p(i) be the second derivative of 9*i**5/5 + 5128*i**4/3 + 486590*i**3 - 324900*i**2 - 2395*i. Factor p(o).
4*(o + 285)**2*(9*o - 2)
Let o(l) = -l**5 - l**4 - l**3 - 2*l + 2. Let s(v) = 8*v**5 - 234*v**4 + 397*v**3 - 156*v**2 + 10*v - 10. Let n(k) = 5*o(k) + s(k). Find a, given that n(a) = 0.
0, 2/3, 1, 78
Let t(p) be the first derivative of -375*p**6/2 - 2085*p**5 - 11485*p**4/2 - 1860*p**3 - 180*p**2 - 5081. Suppose t(y) = 0. Calculate y.
-6, -3, -2/15, 0
Let m(q) = q**3 - 7*q**2 + 16*q - 40. Let g be m(7). Factor -9*w**4 - 15*w**4 + 66*w - 17 + 30*w**3 + 21*w**4 + 0 - g*w**2 - 4.
-3*(w - 7)*(w - 1)**3
Determine q, given that 48