28/9*l**3. Suppose z(y) = 0. Calculate y.
14
Let f(y) be the second derivative of y**6/30 - 17*y**5/5 - 287*y**4/12 - 13*y**3 + 216*y**2 - 2851*y + 1. Suppose f(a) = 0. What is a?
-3, -2, 1, 72
Let z(c) = -4*c**4 + 7*c**3 + 256*c**2 + 220*c - 5. Let i(d) = d**4 + 7*d**3 - d**2 - 2*d + 1. Let n(p) = -5*i(p) - z(p). Factor n(q).
-q*(q + 1)*(q + 6)*(q + 35)
Factor -16*c - 30*c**2 + 313*c**3 + 13 - 16*c + 10*c**4 - 21 - 309*c**3.
2*(c - 2)*(c + 1)**2*(5*c + 2)
Let y = 286267 + -2576383/9. Find p such that -40/9 + 2/9*p**3 - y*p**2 + 58/9*p = 0.
1, 4, 5
Let r = 29 + -8. Suppose -i - 3*f + 24 = 4*i, 3*f = -4*i + r. Let 31*o - o**5 - 3*o**3 - 4*o**4 + 4*o**2 - 27*o + 0*o**i = 0. Calculate o.
-2, -1, 0, 1
Let t(b) be the second derivative of b**7/231 + 461*b**6/165 - 279*b**5/11 + 2797*b**4/33 - 4667*b**3/33 + 1401*b**2/11 - 3604*b. What is d in t(d) = 0?
-467, 1, 3
Let q(v) be the third derivative of v**5/210 - v**4/2 - 43*v**3/21 - 542*v**2. Factor q(m).
2*(m - 43)*(m + 1)/7
Let y(s) be the first derivative of 3*s**4/8 + 8*s**3 + 48*s**2 + 1980. Factor y(f).
3*f*(f + 8)**2/2
Let i(v) = 8*v**3 - 29*v**2 + 224*v - 263. Let c(x) = 9*x**3 - 27*x**2 + 223*x - 253. Let b(m) = 7*c(m) - 8*i(m). Factor b(d).
-(d - 37)*(d - 3)**2
Let d(w) be the second derivative of -w**4/42 - 620*w**3/21 + 1244*w**2/7 + 4*w + 340. Solve d(x) = 0.
-622, 2
Let b(n) be the first derivative of -8*n**5/5 + 49*n**4/2 - 80*n**3 + 27*n**2 - 312. Factor b(g).
-2*g*(g - 9)*(g - 3)*(4*g - 1)
Let m(q) be the third derivative of -q**8/60480 + q**7/3024 - q**6/540 - q**5/30 - 31*q**4/8 + 26*q**2. Let l(h) be the third derivative of m(h). Factor l(z).
-(z - 4)*(z - 1)/3
Let s(j) be the second derivative of j**7/840 - j**6/72 + j**5/60 + j**4/3 + j**3/3 - 13*j**2 - 2*j + 7. Let q(d) be the second derivative of s(d). Factor q(i).
(i - 4)*(i - 2)*(i + 1)
Let s(z) = -205*z**3 + 19*z**2 + 184*z + 17. Let a(v) = 307*v**3 - 29*v**2 - 276*v - 25. Let k(c) = 15*a(c) + 23*s(c). Find o, given that k(o) = 0.
-4/5, -2/11, 1
Let o be (3087/(-14))/(-49) + (-75)/50. What is s in -71/3*s**4 - 576*s + 276*s**o + 2/3*s**5 - 1008*s**2 + 0 = 0?
-1/2, 0, 12
Suppose -4 = 31*x - 66. Suppose 3503 + 0*z - 3507 - 2*z**x + 6*z = 0. What is z?
1, 2
Let u be 6/(2/1)*1. Suppose -29 = -7*s + 2*s - u*a, 3 = a. Solve -35*f**4 - 11*f**2 - 8*f - 33*f**s - 33*f**2 - 20*f**5 - 84*f**3 + 0*f = 0 for f.
-1, -2/5, 0
Let v(g) be the second derivative of -g**5/20 + 17*g**4/12 + 94*g**3/3 + 150*g**2 + 7*g + 652. Determine a so that v(a) = 0.
-6, -2, 25
Let v(h) be the second derivative of -h**4/24 - 20*h**3/3 - 231*h**2/4 - 843*h. Determine t, given that v(t) = 0.
-77, -3
Let j(x) be the first derivative of -3*x**5/40 + 3*x**4/8 - 11048. Factor j(s).
-3*s**3*(s - 4)/8
Let l be (12/8)/(2/(-4)). Let h be 54/15 + l/5. Factor 3 - h - 737*r**3 + 733*r**3.
-4*r**3
Let j = -35277 - -35283. Let z(u) be the third derivative of 4*u**3 + 0 + 0*u + 27*u**2 - 9/40*u**j + 19/10*u**5 - 11/2*u**4. Factor z(r).
-3*(r - 2)**2*(9*r - 2)
Factor 9*s - 11/2*s**2 + 36 - 1/2*s**3.
-(s - 3)*(s + 2)*(s + 12)/2
Let j(k) = k**2 + k + 2. Let n be j(0). Suppose -4*q = -n*q - 4. Determine d, given that 6*d**3 - 2*d**2 - d**q + 3*d - 5*d**3 - 1 = 0.
1
Let u(q) be the first derivative of 24*q + 75/4*q**4 + 24/5*q**5 + 38*q**3 + 1/2*q**6 + 42*q**2 - 92. Factor u(r).
3*(r + 1)**2*(r + 2)**3
Factor 32/3*o - 10*o**2 - 2/3*o**3 + 0.
-2*o*(o - 1)*(o + 16)/3
Let j(z) be the second derivative of 5*z**7/42 - 2*z**6/3 + z**5/4 + 35*z**4/6 - 50*z**3/3 + 20*z**2 + 5939*z. Suppose j(p) = 0. Calculate p.
-2, 1, 2
Let t(o) be the first derivative of -o**9/5040 - o**8/2800 + o**7/1400 + o**6/600 - o**3/3 - 6*o + 69. Let j(s) be the third derivative of t(s). Factor j(x).
-3*x**2*(x - 1)*(x + 1)**2/5
Let u(m) = -m**4 - m**3 - m - 7. Let c(a) = -2*a**4 - 131*a**3 - 141*a**2 + 499*a + 481. Let q(o) = c(o) - 5*u(o). Determine w, given that q(w) = 0.
-2, -1, 2, 43
Suppose 198*n**2 + 494*n**2 - 391*n + 4*n**4 + 774 - 34*n**3 + 42 - 1017*n - 70*n**3 = 0. What is n?
1, 2, 6, 17
Let s(z) = -z**2 - 14*z + 20. Let f(t) = -t**2 - 15*t + 19. Let o(j) = -5*f(j) + 6*s(j). Let l be o(-11). Factor 3*y + 3*y**3 + 17*y - 20*y**2 + 2*y**l.
5*y*(y - 2)**2
Let j(i) be the first derivative of 19*i**2/2 + 380*i + 349. Let r be j(-20). Factor -2/11*v**4 + 0*v + r + 0*v**2 - 4/11*v**3.
-2*v**3*(v + 2)/11
Suppose 0 = -5*l - 7 + 22. Suppose 8*k - 62 = 138. Factor 4*h**4 + 8 + 8 - 24*h**l - 19*h + 52*h**2 - k*h - 4*h.
4*(h - 2)**2*(h - 1)**2
Let b be (-1860 + 1836)/((-9)/2). Solve -b*u**2 - 12 - 2/3*u**3 - 14*u = 0.
-3, -2
Suppose 2*n = -5*y - 306, n = -y + 5*n - 48. Let s = y + 68. Factor -4*k - 2*k**3 + s*k**3 - 2*k**3.
4*k*(k - 1)*(k + 1)
Let v be 3/4 - ((-2231173)/252)/(-29). Let s = -304 - v. Factor -1/9*i**3 - s*i + 4/9*i**2 + 2/9.
-(i - 2)*(i - 1)**2/9
Factor 60*h**3 - 650*h**2 - 3066*h - 270*h**3 - 534*h**2 + 340*h**2 + 3050*h.
-2*h*(h + 4)*(105*h + 2)
Let t(h) = -h. Let a = -1684 - -1688. Let r(n) = 4*n**2 + 4*n - 12. Let s(k) = k**2 - 4*k + 3. Let f be s(2). Let p(d) = a*t(d) + f*r(d). Factor p(c).
-4*(c - 1)*(c + 3)
Let z(w) be the first derivative of -w**4/2 + 166*w**3/3 - 573. What is l in z(l) = 0?
0, 83
Let l(a) be the third derivative of a**6/72 - 4*a**5/9 + 65*a**4/24 - 138*a**2 + 3. Solve l(d) = 0 for d.
0, 3, 13
Let c(l) = 3*l**4 - 3*l**2. Let i = 280 - 282. Let s(d) = -13*d**4 - d**3 + 12*d**2. Let q(z) = i*s(z) - 9*c(z). Factor q(u).
-u**2*(u - 3)*(u + 1)
Let o be 4907/3905 - 16/40. Let g = o + -35/71. Factor -2/11*s**3 - 6/11*s**2 + 0 - g*s.
-2*s*(s + 1)*(s + 2)/11
Suppose -2*d + 36 = -3*w - 65, -163 = 5*w + 2*d. Let g be (-22)/w - 3/(9/2). Factor g*u - 3/2*u**2 + 3/2.
-3*(u - 1)*(u + 1)/2
Suppose 42*y - 380 = 23*y. Factor -95*o - y - o**2 + 180*o - 94*o.
-(o + 4)*(o + 5)
Let a(u) be the first derivative of -u**4/16 + 12*u**3 - 837*u**2/8 + 621*u/2 - 3203. Determine f so that a(f) = 0.
3, 138
Let n(q) be the first derivative of -q**6/6 + 17*q**5/5 - 51*q**4/2 + 84*q**3 - 108*q**2 - 7677. Factor n(d).
-d*(d - 6)**2*(d - 3)*(d - 2)
Let u(x) be the third derivative of x**6/660 + 21*x**5/110 + 377*x**4/44 + 4205*x**3/33 - 1288*x**2. Factor u(w).
2*(w + 5)*(w + 29)**2/11
Let y(p) be the first derivative of p**5/5 + p**4/2 - 4*p**3/3 - 4*p**2 - 4. Suppose y(o) = 0. What is o?
-2, 0, 2
Let a = -732 + 774. Let 3*l**5 + 102*l**2 - 38*l + a*l**4 - 65*l + 136*l + 108*l**3 = 0. Calculate l.
-11, -1, 0
Let j(k) be the second derivative of k**6/60 - 19*k**5/40 - 25*k**4/8 + 57*k**3/4 + 297*k**2/2 + 5*k - 14. Factor j(a).
(a - 22)*(a - 3)*(a + 3)**2/2
Let g(c) be the second derivative of c**6/180 + 3*c**5/40 - 187*c**4/24 + 3751*c**3/36 + 570*c - 2. Determine w so that g(w) = 0.
-31, 0, 11
Let r = 501530 - 501520. Let r*j**2 - 5/2*j**4 + 10*j - 5/2*j**3 + 0 = 0. Calculate j.
-2, -1, 0, 2
Let i(y) be the third derivative of -23*y**7/210 - 143*y**6/120 - 79*y**5/20 - 15*y**4/8 - 24*y**2 - 44*y - 3. Find c such that i(c) = 0.
-3, -5/23, 0
Let c(u) = 12*u**3 - 153*u + 192. Let b(y) be the second derivative of -3*y**5/20 + 19*y**3/3 - 24*y**2 + 26*y + 2. Let h(v) = 9*b(v) + 2*c(v). Factor h(d).
-3*(d - 2)**2*(d + 4)
Let n(q) be the third derivative of 1/24*q**3 + 1/48*q**4 + 0 + 11*q**2 + 1/240*q**5 + q. Factor n(s).
(s + 1)**2/4
Suppose 2*i = 3*h - 8, -4*h - 3*i + 2*i = -18. Let y(a) be the first derivative of 4/5*a**h - 2/5*a**2 + 2/5*a**5 + 0*a - 14 + 2/15*a**3. Factor y(l).
2*l*(l + 1)**2*(5*l - 2)/5
Suppose 69/5*y**2 + 459/5 - 3/5*y**3 - 333/5*y = 0. Calculate y.
3, 17
Suppose 0 = -3*b + 3*p - 126, 5*b - 2*p + 29 + 172 = 0. Let f be (b - -48)*5/((-90)/(-8)). Find u such that 1/3*u**f + 12 - 11/3*u**2 - 2/3*u**3 + 4*u = 0.
-2, 3
Let p = -19909 - -39819/2. Determine i, given that 1/4*i**2 - p*i + 1/4 = 0.
1
Suppose -2*n + p = -13 - 7, 3*n - 2*p - 31 = 0. Factor n*s**3 + 5 - 9*s**3 + s - 5*s**2 - s**3 + 0*s**3.
-(s - 1)*(s + 1)*(s + 5)
Let h = -88/321 + 1667/2568. Factor 3/2 + h*r**2 + 3/2*r.
3*(r + 2)**2/8
Let v be ((-150)/(-65))/(1701/4914). Find b such that v*b - 2*b**2 + 0 - 2/3*b**3 = 0.
-5, 0, 2
Let b(v) be the first derivative of -168/5*v**2 + 576/5*v + 49/15*v**3 - 47. Determine y, given that b(y) = 0.
24/7
Let -2257 - 297*x + 1773 + 2*x**5 - 16*x**4 - 1177*x - 544*x**3 - 1516*x**2 = 0. Calcul