t derivative of -s**9/3024 + s**8/840 + 10*s**3/3 - 4*s + 1. Let b(z) be the third derivative of o(z). Factor b(i).
-i**4*(i - 2)
Let l(s) be the first derivative of 0*s + 0*s**3 + 3 + 0*s**4 - 1/20*s**5 + 0*s**2. Factor l(j).
-j**4/4
Let y = 2 + 0. Let a be (-10)/(-6) - (-476)/357. Suppose 8/19 + 78/19*i**y + 74/19*i**a + 40/19*i + 34/19*i**4 + 6/19*i**5 = 0. What is i?
-2, -1, -2/3
Let o(g) be the first derivative of g**5 - 25*g**4 - 5*g**3/3 + 50*g**2 + 263. Factor o(r).
5*r*(r - 20)*(r - 1)*(r + 1)
Let m = 94067/574 + -13321/82. Determine l, given that -m*l**3 + 18/7*l**2 + 4/7 + 2/7*l**4 - 2*l = 0.
1, 2
Solve 12658*a**4 - 25309*a**4 + 76*a + 12655*a**4 - 4*a**2 + 13*a**3 - 89*a**3 = 0 for a.
-1, 0, 1, 19
Suppose 4*s + 15 = -s, 0 = 5*v - 3*s - 1464. Let 148*r**2 + 3*r + 148*r**2 - v*r**2 + 3*r + r**3 = 0. Calculate r.
-3, -2, 0
Solve -68*r**3 - 104/7 - 772/7*r - 1188/7*r**2 + 44/7*r**4 = 0 for r.
-1, -2/11, 13
Let r(p) be the first derivative of -2*p**5/15 + 92*p**4/3 + 1502*p**3/9 + 194*p**2/3 - 752*p - 2650. Solve r(z) = 0.
-3, -2, 1, 188
Let w(y) = -y**3 - 11*y**2 - 16*y + 18. Let d be w(-9). Suppose -3*x + 6 = -d*x. Factor -19*s**x + 3645 + 2461*s + 19*s**3 - 31*s + 21*s**3 + 559*s**2.
5*(2*s + 9)**3
Suppose 17 = 15*t - 43. Find c such that 3*c**t - 8*c + 5*c + 3*c**3 + 7*c**2 - 10*c**2 = 0.
-1, 0, 1
Let q(o) = -18*o**3 + 131*o**2 + 96*o - 3. Let k(f) = -35*f**3 + 260*f**2 + 190*f - 5. Let t(r) = 3*k(r) - 5*q(r). What is h in t(h) = 0?
-2/3, 0, 9
Let v = 348/173 - -1826007/692. Let f = v - 2628. Factor -f*b - 9/2 - 21/2*b**2 - 9/4*b**3.
-3*(b + 1)*(b + 3)*(3*b + 2)/4
Let t(b) be the third derivative of -b**6/40 - 2477*b**5/70 + 177*b**4/7 - 1288*b**2 - 2*b. Find h, given that t(h) = 0.
-708, 0, 2/7
Let l(v) = 77*v - 2150. Let q be l(28). Let m(s) be the third derivative of 0*s - 10/27*s**3 - 1/540*s**q - 4/135*s**5 + 19/108*s**4 + 0 + 46*s**2. Factor m(c).
-2*(c - 1)**2*(c + 10)/9
Suppose -13*a + 1 = -16*a - 2*h, 0 = 3*h + 15. Find t such that -t**2 - 9*t**2 - 5*t**2 + 6*t - 3*t**3 + a*t**4 - 15*t = 0.
-1, 0, 3
Let k(n) be the first derivative of 2*n**5/45 - 2*n**4/3 + 14*n**3/9 + 190*n**2/9 - 400*n/3 + 4041. Factor k(d).
2*(d - 6)*(d - 5)**2*(d + 4)/9
What is u in 665*u**2 - 230*u**4 + 73*u + 325*u**3 - 22*u + 225*u**4 + 284*u = 0?
-1, 0, 67
Let v be (-12)/32 + (-35)/(-8). Suppose 0 = -f + 2*x - v*x + 14, f + 4*x - 10 = 0. Factor -a**3 - 8 + 20*a + 5*a**3 - f*a**2 + 2*a**2.
4*(a - 2)*(a - 1)**2
Suppose -13*v - 24660 = -73*v. Let n = 2057/5 - v. Factor -4/5 - 2*z - n*z**3 - 8/5*z**2.
-2*(z + 1)**2*(z + 2)/5
Let r(o) be the first derivative of -o**4/26 - 142*o**3/39 - 1224*o**2/13 + 2592*o/13 + 4195. Factor r(q).
-2*(q - 1)*(q + 36)**2/13
Let q(p) be the second derivative of 2*p**7/21 + 16*p**6/5 - 82*p**5/5 - 8*p**4 + 54*p**3 - 647*p + 1. Let q(c) = 0. What is c?
-27, -1, 0, 1, 3
Let w(r) be the third derivative of -r**7/1050 + 7*r**6/200 - 11*r**5/25 + 38*r**4/15 - 32*r**3/5 - 4*r**2 + 10*r - 33. Factor w(f).
-(f - 12)*(f - 4)**2*(f - 1)/5
Let -280/9 - 2/9*i**4 - 374/9*i + 39*i**2 - 43/9*i**3 = 0. What is i?
-28, -1/2, 2, 5
Let k(z) be the first derivative of -z**6/20 - z**5/5 + z**4/8 - 55*z + 43. Let f(y) be the first derivative of k(y). Factor f(i).
-i**2*(i + 3)*(3*i - 1)/2
Let r(v) be the first derivative of -5*v**6/2 + 114*v**5/5 - 267*v**4/4 + 68*v**3 + 6*v**2 - 48*v - 3271. Find k such that r(k) = 0.
-2/5, 1, 2, 4
Factor 159*n**2 + 143*n**2 - 2*n**3 + 440*n - 234*n**2 - 2*n**3.
-4*n*(n - 22)*(n + 5)
Let l(p) be the third derivative of -2*p**2 + 1/300*p**5 + 0*p + 512/15*p**3 - 153 + 8/15*p**4. Find r such that l(r) = 0.
-32
Let k = -60 + 64. Let h be (-339794)/(-24843) - 6/39. Let 38/7*a + 50/21*a**5 - h*a**2 - 10*a**k + 116/7*a**3 - 6/7 = 0. Calculate a.
3/5, 1
Let z(g) be the second derivative of 2/15*g**3 - 1/75*g**6 + 7/30*g**4 + 127*g + 0*g**2 + 3/25*g**5 - 2/105*g**7 + 0. Determine h, given that z(h) = 0.
-1, -1/2, 0, 2
Let r = -11745 + 11745. Let o(f) be the second derivative of r + 0*f**2 + 3/5*f**5 + 0*f**4 - 10*f + 0*f**3 + 4/15*f**6. Factor o(v).
4*v**3*(2*v + 3)
Find i, given that -5/7*i**3 + 86/7 - 212/7*i**2 + 131/7*i = 0.
-43, -2/5, 1
Let b be (4620/(-189))/(-44)*18. Determine g so that -b*g - 5/3*g**2 + 35/3 = 0.
-7, 1
Let n(x) = x**2 - 45*x + 259. Let c be n(7). Let g be (-165)/(-84) + 0 + c/28. Let 48/7*r**2 + 6*r + 12/7*r**3 - 6/7*r**5 + g - 12/7*r**4 = 0. What is r?
-1, 2
Let q(p) = -p**3 - 13*p**2 - p - 10. Suppose 2*k = -2*y - 34, 4*k - 2*y = -20 - 24. Let c be q(k). Factor 5*x**c - 25/4*x**2 + 5/2 - 35/4*x.
5*(x - 2)*(x + 1)*(4*x - 1)/4
Let v = 2578 + -2576. Let j = -496 - -2483/5. Factor -j*p**v - 33/5*p + 0.
-3*p*(p + 11)/5
Let n(o) = -o**3 - 9*o**2 - 16*o - 62. Let z be n(-10). What is y in 193*y**2 + 20*y**4 - 4*y**3 - 395*y**2 - 12*y**5 + z*y**2 = 0?
-1/3, 0, 1
Let b be (1 - (-30)/(-18))/(3*(-16)/24). Find o such that 0 + b*o**2 + o = 0.
-3, 0
Let z(d) be the first derivative of d**4/4 + 71*d**3 + 15123*d**2/2 + 357911*d + 2293. Factor z(v).
(v + 71)**3
Let l(s) be the second derivative of 124*s + 0*s**2 + 0 + 20/21*s**4 + 1/15*s**6 + 31/70*s**5 + 4/7*s**3. Factor l(w).
2*w*(w + 2)**2*(7*w + 3)/7
Let v(l) be the third derivative of -l**6/100 + 13*l**5/150 - 4*l**4/15 + 4*l**3/15 - 34*l**2 + 17*l. Factor v(j).
-2*(j - 2)**2*(3*j - 1)/5
Let j(m) be the third derivative of -m**6/240 - m**5/10 - 41*m**4/48 - 5*m**3/2 + 38*m**2 - 3*m. Let j(y) = 0. Calculate y.
-6, -5, -1
Let d(b) be the first derivative of -b**3/12 - 61*b**2/2 - 508. Factor d(o).
-o*(o + 244)/4
Let h = 1/708 - -439/2478. Let r = 1/308 + h. Factor 2/11*x**4 + 0 + 4/11*x**3 + r*x**2 + 0*x.
2*x**2*(x + 1)**2/11
Let t = 279 - 1875. Let x be 28500/t*(-4)/2*5. Factor -40/7*a**3 - 300/7*a**2 - 2/7*a**4 - x - 1000/7*a.
-2*(a + 5)**4/7
Let a(x) be the second derivative of -1/6*x**3 + 127*x - 1/84*x**4 + 0*x**2 + 0. Determine i so that a(i) = 0.
-7, 0
Let q(b) = -8*b**3 + 136*b**2 + 8*b - 102. Suppose 0 = w + 149 - 98. Let r(m) = -m**3 + 17*m**2 + m - 13. Let j(d) = w*r(d) + 6*q(d). Factor j(x).
3*(x - 17)*(x - 1)*(x + 1)
Let f(a) = a**3 - 39*a**2 - 146*a + 2627. Let s be f(41). Solve 0 + 4/13*h**4 + 14/13*h**s - 16/13*h**2 - 24/13*h - 2/13*h**5 = 0 for h.
-2, -1, 0, 2, 3
Factor -232*s**2 - 60*s**2 - 158*s**2 + 100*s**2 - 6*s**3 + 11*s**3 - 1480*s.
5*s*(s - 74)*(s + 4)
Let i(y) be the first derivative of 56/5*y - 11/5*y**4 + 4/25*y**5 - 74/5*y**2 - 257 + 44/5*y**3. Factor i(n).
4*(n - 7)*(n - 2)*(n - 1)**2/5
Let i(u) = -370*u**2 - 783*u + 1605. Let v(s) = 101*s**2 + 195*s - 401. Let w(f) = -6*i(f) - 22*v(f). Factor w(l).
-2*(l - 202)*(l - 2)
Let m(v) be the first derivative of v**4 - 16*v**3/3 - 2*v**2 - 45. Let b(s) = 8*s**3 - 33*s**2 - 9*s. Let n(d) = -4*b(d) + 9*m(d). Let n(p) = 0. What is p?
0, 3
Let q(r) be the third derivative of r**6/30 - r**5/3 + 2*r**4/3 + 1379*r**2. Solve q(x) = 0.
0, 1, 4
Let y(j) be the third derivative of 4*j + 0 - 25*j**2 + 49/120*j**6 - 39/8*j**4 - 7/4*j**5 - 9/2*j**3. Suppose y(n) = 0. Calculate n.
-3/7, 3
Let v(i) = -2*i - 11. Let a be v(-11). Suppose -4*q + 4*d = -13 - a, 4 = -d. Let 5*n**3 + 9*n**2 - 75 - q*n**3 + 6*n + 75 = 0. Calculate n.
-2, -1, 0
Let g(f) be the third derivative of 81*f**5/80 + 5301*f**4/8 + 346921*f**3/2 + 229*f**2 + 1. Factor g(o).
3*(9*o + 1178)**2/4
Let b(l) be the second derivative of l**6/180 + 7*l**5/60 + 49*l**3/6 - l**2 - 7*l + 2. Let i(f) be the second derivative of b(f). Factor i(a).
2*a*(a + 7)
Let t(o) = -2*o**2 + 16*o + 22. Let a be t(9). Suppose -k = -a*d - 25, 4*k - 5*k - 4*d - 7 = 0. Factor 5*l**2 - 4*l**2 + 18*l + 3 + k*l**2 - 7.
2*(l + 2)*(5*l - 1)
Let z(c) = c. Let t(d) = -3*d**2 + 18*d - 12. Suppose 5*k - 65 = 2*r + 3*r, -4*k + r + 55 = 0. Suppose -s = k*s - 45. Let w(l) = s*z(l) - t(l). Factor w(g).
3*(g - 4)*(g - 1)
Let z(f) be the second derivative of -f**6/15 + 53*f**5/20 - 14*f**4 + 163*f**3/6 - 23*f**2 + 181*f. Suppose z(u) = 0. Calculate u.
1/2, 1, 2, 23
Suppose -29*k + 2*j + 4 = -31*k, 0 = -2*k + j + 11. Factor -12 - 13*a - 15362*a**3 + a + 15365*a**k + 3*a**2.
3*(a - 2)*(a + 1)*(a + 2)
Let c(o) be the second derivative of -5/3*o**3 - 3 + 17/12*o**4 - 3/20*o**5 + 11*o + 0*o**2. Factor c(s).
-s*(s - 5)*(3*s - 2)
Suppose -101 = 17*b - 1257. Determine g, given