 the first derivative of 0*s**4 + 28 - 1/20*s**5 + 0*s**2 - 1/90*s**6 + 2/9*s**3 + 26*s. Let q(z) be the first derivative of n(z). Factor q(m).
-m*(m - 1)*(m + 2)**2/3
Let i = 27/28 - 5/7. Let k be (-184)/(-608) - (600/(-152) - -4). Factor 0 + 0*n**3 + i*n**4 + 0*n - k*n**2.
n**2*(n - 1)*(n + 1)/4
Let o(v) be the second derivative of v**8/3360 - v**7/630 - v**6/18 - 2*v**5/5 - 37*v**4/3 + 155*v. Let k(n) be the third derivative of o(n). Factor k(j).
2*(j - 6)*(j + 2)**2
Let u = -2/6707 + 93928/100605. Let x = 2/5 + u. Find s such that 0 + x*s**4 - 4/3*s**2 - 4/3*s**3 + 4/3*s = 0.
-1, 0, 1
What is w in -1742/15*w - 2/15*w**2 - 3476/15 = 0?
-869, -2
Let g(q) be the second derivative of -q**4/90 + 388*q**3/45 - 77*q**2 + 5842*q. Factor g(c).
-2*(c - 385)*(c - 3)/15
Let m = 28288/387 - 3124/43. Factor 0 + 8/9*u**2 + 4/9*u**3 + m*u.
4*u*(u + 1)**2/9
Let p(h) be the first derivative of -7/12*h**4 + 8/9*h**3 + 0*h + 47 - 1/6*h**2. Factor p(w).
-w*(w - 1)*(7*w - 1)/3
Let u be ((-10)/(90/(-273)))/((-245)/(-105)). Find o, given that -u*o - 46/5*o**2 + 7/5*o**4 - 1/5*o**5 + 2/5*o**3 - 5 = 0.
-1, 5
Determine f, given that 3*f**4 + 19704*f**2 - 38*f**3 + 3*f**4 + 3*f**5 + 19706*f**2 + 24*f - 39416*f**2 + 11*f**3 = 0.
-4, -1, 0, 1, 2
Suppose 2*z + 4006 = -g + 4016, 4*z - 12 = 2*g. Find s, given that 4*s**4 - 8*s**3 + 0*s**g + 0 - 1/2*s**5 + 0*s = 0.
0, 4
Let m(j) = 2*j**3 - 22*j**2 - 23*j + 12. Let y be m(12). Factor 1 + 133*o**4 - 130*o**4 + 0 - 1 - 60*o**2 - y*o**3.
3*o**2*(o - 10)*(o + 2)
Let g(u) = 36*u + 182. Let d be g(12). Factor -d*x**2 + 6*x**3 + 50*x - x**3 + 649*x**2.
5*x*(x + 2)*(x + 5)
Factor -465*l**2 + 81/5*l**3 - 18750 + 5375*l - 1/5*l**4.
-(l - 25)**3*(l - 6)/5
Let r be (1078/(-42) - -26)/(((-39)/16)/((-180)/16)). Let r*o + 2/13*o**2 + 0 = 0. Calculate o.
-10, 0
Let j(q) = -3*q**2 - 984*q - 3951. Let l(y) = 2*y**2 + 493*y + 1975. Let v(u) = 5*j(u) + 9*l(u). Let v(w) = 0. Calculate w.
-4, 165
Suppose 13*q + 16 = -62. Let f(h) = 12*h**2 - 4*h - 10. Let p(j) = 14*j**2 - 4*j - 12. Let t(m) = q*f(m) + 5*p(m). Suppose t(i) = 0. Calculate i.
0, 2
Let a = -2/6771 - -6881/372405. Let p(o) be the second derivative of 0 + 0*o**3 - 1/165*o**6 - 23*o + a*o**5 + 0*o**4 + 0*o**2. Factor p(y).
-2*y**3*(y - 2)/11
Let j(u) be the first derivative of u**7/399 + 4*u**6/285 - u**5/95 - 2*u**4/19 + 3*u**3/19 + 3*u - 63. Let t(x) be the first derivative of j(x). Factor t(a).
2*a*(a - 1)**2*(a + 3)**2/19
Let g be (-8)/(-22) - 610263584/(-333608). Factor 27648/17*l + 3600/17*l**3 + 2/17*l**5 + g*l**2 + 146/17*l**4 + 0.
2*l*(l + 1)*(l + 24)**3/17
Suppose 159515 - 5380*m + 7151*m**2 + 20012 - 7101*m**2 - 34805 = 0. Calculate m.
269/5
Let s(n) = 4*n**3 + 26*n**2 - 120*n + 105. Let g(i) = i**2 + 294 - 587 + i**3 + 294. Let a(x) = -10*g(x) + 2*s(x). Factor a(o).
-2*(o - 10)**2*(o - 1)
Suppose -8*w - 19 = -51. Factor n**3 + n - 2*n**w - n**3 + 2*n**2 - n.
-2*n**2*(n - 1)*(n + 1)
Let j be 333/222 + (-190)/140. Let -1/7*k**3 + 5/7*k**2 + 0 - 3/7*k - j*k**4 = 0. What is k?
-3, 0, 1
Let n = -228 - -213. Let q be 3/21*(-630)/n. Let 0 + 15/2*h**2 - 3/2*h**4 - q*h**3 + 0*h = 0. What is h?
-5, 0, 1
Let x(g) be the first derivative of 42/5*g**5 + 0*g - 168 + 0*g**3 + 1/2*g**6 + 147/4*g**4 + 0*g**2. Factor x(f).
3*f**3*(f + 7)**2
Suppose -954*u + 6 = -951*u. Determine x, given that -16/3*x**3 + 14/3*x**u + 0*x + 0 + 2/3*x**4 = 0.
0, 1, 7
Let z = -562327 + 562330. Let 0 - z*l**2 + 4/3*l + 2*l**3 - 1/3*l**4 = 0. Calculate l.
0, 1, 4
Find s such that 0*s - 1/2*s**3 + 0 - 3/2*s**2 = 0.
-3, 0
Let c(f) = -5*f**2 - 101*f + 114. Suppose 14*g + 32 = 10*g. Let o(b) = 3*b**2 + 67*b - 75. Let v(r) = g*o(r) - 5*c(r). Factor v(h).
(h - 30)*(h - 1)
What is l in -28830*l - 268119/4 - 4743/2*l**2 - 72*l**3 - 3/4*l**4 = 0?
-31, -3
Suppose -6*w**3 + 14*w**2 - 19*w + 34 + 35*w + 5*w**3 - 5*w + 38*w = 0. Calculate w.
-2, -1, 17
Let s(u) be the second derivative of u**6/285 + 3*u**5/95 - 21*u**4/38 - 392*u**3/57 - u - 370. Find l such that s(l) = 0.
-7, 0, 8
Let u = -1/56219 + 168664/393533. What is y in u*y**3 - 3/7*y - 3/7*y**2 + 3/7 = 0?
-1, 1
Let x(d) be the first derivative of 136*d**2 + 1366*d**3 + 57*d**2 + 4*d + 694*d**3 + 1408*d**3 + 235 + 11*d**2. Suppose x(i) = 0. What is i?
-1/51
Let 3*b**3 - 379*b**3 - 4*b**4 + 10957*b - 1100*b**2 - 11685*b = 0. Calculate b.
-91, -2, -1, 0
Suppose 5*d - 104 + 120 = -2*r, -5*d = 3*r + 14. Let b(h) be the first derivative of -1/8*h**4 + 0*h**3 + 1/10*h**5 + 0*h**2 + r + 0*h. Factor b(w).
w**3*(w - 1)/2
Let m(z) = z**3 + 24*z**2 + 39*z - 15. Let c be m(-10). Let s = -2983/3 + c. Suppose -2/3*q**2 + 4/3*q - s = 0. Calculate q.
1
Let s(j) = -j**3 - 17*j**2 - 100*j + 482. Let t be s(3). Factor 0*i**t + 3/8*i**5 + 0*i - 9/8*i**3 + 0 - 3/4*i**4.
3*i**3*(i - 3)*(i + 1)/8
Let 4/7*b**5 - 144/7*b + 12/7*b**4 - 204/7*b**2 - 52/7*b**3 + 0 = 0. What is b?
-3, -1, 0, 4
Let g(k) be the third derivative of -k**6/360 + 130*k**5/9 - k**2 + 13*k - 5. Find f, given that g(f) = 0.
0, 2600
Let c(s) be the second derivative of s**7/21 - s**6/15 - 6*s**5/5 + 1832*s. Determine y so that c(y) = 0.
-3, 0, 4
Let d(i) be the first derivative of -2*i**3/39 + 50*i**2/13 + 102*i/13 - 8479. Determine c so that d(c) = 0.
-1, 51
Let a(b) = -12*b**2 - 2*b - 5. Let f(r) = 2*r**2 - r. Suppose 0 = -w - o + 1, 7 - 3 = 3*w + 2*o. Let i(h) = w*a(h) + 14*f(h). Suppose i(q) = 0. Calculate q.
-1/2, 5
Let k = -26351 + 26358. Let d(s) be the second derivative of 0*s**5 - 13*s + 0 + 1/252*s**k + 1/36*s**4 - 1/90*s**6 + 0*s**2 - 1/36*s**3. What is z in d(z) = 0?
-1, 0, 1
Let p(y) = -3*y**2 - 126*y - 264. Let c(h) = h**2 + 44*h + 88. Let f(d) = 8*c(d) + 3*p(d). Solve f(o) = 0 for o.
-22, -4
Let c be (-8)/(336/(-162)) - 2/(-14). Factor 12 + 9*o**4 - 24*o + 6*o**3 - 6*o**4 - 7*o**c + 9*o**2 + o**4.
-3*(o - 2)*(o - 1)**2*(o + 2)
Let z be 11 + -8 - 4082/1365. Let u(w) be the third derivative of z*w**5 + 0 - 1/210*w**6 + 0*w**3 + 0*w + 29*w**2 + 0*w**4. Factor u(y).
-4*y**2*(y - 1)/7
Factor -209814 - 3/2*l**4 - 100431/2*l**2 + 207570*l - 555*l**3.
-3*(l - 2)**2*(l + 187)**2/2
Let f(k) be the third derivative of -1/240*k**6 - 1/3*k**3 + 0 + 1/16*k**4 + 0*k**5 + 0*k + 24*k**2. Let h(p) be the first derivative of f(p). Factor h(q).
-3*(q - 1)*(q + 1)/2
Let s = -50 + 52. Find c, given that 113 + c**2 - 400*c + 143 + 0*c**s + 368*c = 0.
16
Factor 13909820*i**2 + 5667029*i**2 + 0*i**5 + 2*i**5 + 216600*i**3 - 5858849*i**2 + 1140*i**4.
2*i**2*(i + 190)**3
Suppose 0 = -5*j + 410 - 85. Determine v so that -2*v + j*v**3 - 29*v**3 + 2*v**5 + 11*v + 7*v + 40*v**2 + 14*v**4 = 0.
-2, -1, 0
Factor -44/7*k - 8/7*k**2 + 12.
-4*(k + 7)*(2*k - 3)/7
Factor 252504*u**2 + 3/4*u**4 + 28446780*u + 55889556 + 753*u**3.
3*(u + 2)*(u + 334)**3/4
Let d = 5 + 2. Factor 23 + 3 + 44*v + 4*v**2 + 7 + d.
4*(v + 1)*(v + 10)
Let q be 4*190/640*(106 - 102). Factor 7/4*o**3 + 2*o + q*o**2 - 1.
(o + 1)*(o + 2)*(7*o - 2)/4
Find g, given that -8/7*g - 2320/7*g**4 + 0 - 620/7*g**2 - 2932/7*g**3 = 0.
-1, -1/4, -2/145, 0
Let z(w) = w**4 - 2*w**2 + w - 1. Let q(o) = 5*o**4 + 3*o**3 - 15*o**2 + 7*o - 7. Let n(t) = -4*q(t) + 28*z(t). Let n(c) = 0. What is c?
0, 1/2, 1
Suppose k - 4*w + 1140 = 0, -27*w = -4*k - 28*w - 4475. Let j be 51/45 + -1 + k/(-600). Suppose 12/7 - 2/7*f - 2/7*f**j = 0. What is f?
-3, 2
Let d be (-9)/(-7) + 282642/16184. Solve 5/4*b**5 + 0*b + 45/4*b**4 + d*b**3 + 0 + 35/4*b**2 = 0.
-7, -1, 0
Let r be (8/14)/(132/28 - 5). Let z(c) = -c**2 + 1. Let g(w) = -6*w**3 - 19*w**2 - 2*w + 11. Let f(k) = r*g(k) + 18*z(k). Factor f(s).
4*(s + 1)**2*(3*s - 1)
Let v = 53/480 - -9/160. Factor -v + i + 7/6*i**2.
(i + 1)*(7*i - 1)/6
Let o = 3537682/5 - 707526. Find v, given that o*v + 1352/5 + 1/10*v**2 = 0.
-52
Let r(k) be the second derivative of k**4/60 + 83*k**3/3 + 829*k**2/10 + 173*k - 3. Find z such that r(z) = 0.
-829, -1
Let i(c) be the second derivative of -10*c**7/63 + 94*c**6/45 - 6*c**5/5 + 9219*c. Determine y, given that i(y) = 0.
0, 2/5, 9
Let i(z) = -7*z**2 - 82*z + 4. Let y(l) = l**2 + l - 1. Suppose 0 = -2*j - 3*f + 5*f, 5*j + 3*f - 32 = 0. Let q(w) = j*y(w) + i(w). What is n in q(n) = 0?
-26, 0
Let u(v) be the third derivative of -v**8/112 + 251*v**7/210 + 43*v**6/15 - 17*v**5/3 - 918*v**2. Determine n so that u(n) = 0.
-2, 0, 2