6)/4
Let i(s) be the first derivative of -33*s**5/5 - 339*s**4/28 + 2270*s**3/7 + 1614*s**2/7 + 360*s/7 - 3875. Suppose i(r) = 0. What is r?
-6, -2/7, -2/11, 5
Let o be ((-18)/(-105)*21)/((-2)/(-60)). Let y = o + -108. Determine w so that 0*w + 3/4*w**4 - 3/4*w**2 - 3/2*w**3 + 3/2*w**5 + y = 0.
-1, -1/2, 0, 1
Determine h, given that -1/4*h**2 - 153/4*h - 151/2 = 0.
-151, -2
Find s, given that -13*s**2 - 3*s**5 + 27*s + 7*s**2 - 26*s**3 + 2*s**3 - 12 + 18*s**4 = 0.
-1, 1, 4
Let z = -4891 - -4896. Let b(p) be the first derivative of -2/45*p**z - 32/9*p**3 - 2/3*p**4 + 0*p + 32 - 64/9*p**2. Factor b(a).
-2*a*(a + 4)**3/9
Factor 1460/7*t + 0 + 1468/7*t**3 + 2924/7*t**2 + 4/7*t**4.
4*t*(t + 1)**2*(t + 365)/7
Let t(d) be the third derivative of d**6/40 - 4*d**5/5 + 15*d**4/8 - 598*d**2 + 5. Let t(g) = 0. Calculate g.
0, 1, 15
Suppose -5*u + 3*u - 2 = 0, -s + 5 = -2*u. Let i be (11/(-44))/((-186)/(-1116)*7/(-2)). Factor -6/7*a**2 + i*a - 3/7*a**s + 6/7.
-3*(a - 1)*(a + 1)*(a + 2)/7
Factor -275/4*z - 105/4*z**3 - 45/2 - 285/4*z**2 - 5/4*z**4.
-5*(z + 1)**3*(z + 18)/4
Factor -1320*t**3 - 2*t - 5*t - 8998*t**4 + 380*t**2 + 7*t + 8963*t**4.
-5*t**2*(t + 38)*(7*t - 2)
Let j(a) = -8*a**3 + 1639*a**2 - 83219*a + 81608. Let l(g) = 4*g**3 - 821*g**2 + 41609*g - 40804. Let f(y) = 3*j(y) + 5*l(y). Find b, given that f(b) = 0.
1, 101
Let p(h) = 3*h**2 - 114*h - 233. Let t be p(-2). Let x be (-2)/(4/(-6))*1. Factor 2*s**5 - t*s**3 + 8*s**4 + 23*s**x - 8*s**3.
2*s**3*(s + 2)**2
Let b(w) = -w**3 + 87*w**2 - 1287*w - 93. Let j be b(19). Suppose -j*v**3 - 36/5 + 1/5*v**5 - 87/5*v + 4/5*v**4 - 64/5*v**2 = 0. Calculate v.
-3, -1, 4
Let w = 13 + -9. Suppose -72*x + 58*x = 0. Factor x*r**4 + 5*r**3 - 4*r**4 + r**w - 2*r**3 + 6*r**2.
-3*r**2*(r - 2)*(r + 1)
Let a = 336 - 316. Factor -4*c - 4*c**4 + 4*c**3 - 33 - a + 53 + 4*c**2.
-4*c*(c - 1)**2*(c + 1)
Let t = 467374/7 + -66766. Factor -t*k**3 + 0 + 24/7*k**2 - 16/7*k + 2/7*k**4.
2*k*(k - 2)**3/7
Let c(m) be the first derivative of 26*m + 29 - 5/12*m**4 + 0*m**2 - 5/2*m**3. Let t(k) be the first derivative of c(k). Let t(b) = 0. Calculate b.
-3, 0
Let a = 236458 - 236454. Suppose 0 - a*i**2 + 46/11*i - 2/11*i**3 = 0. What is i?
-23, 0, 1
Let d(f) = 3*f**2 + 71*f - 119. Let j(y) = y**2 + 23*y - 40. Let o = -15 + 19. Let u(w) = o*d(w) - 14*j(w). Factor u(s).
-2*(s - 2)*(s + 21)
Suppose 0 = -2*v + 3*l - 7*l + 64, 2*v - 2*l - 58 = 0. Suppose -v = b - 6*b. Factor -5*n + 2*n**3 - 4*n**3 + n - b*n**2.
-2*n*(n + 1)*(n + 2)
Factor 10*w**3 + 0 + 56/5*w**2 + 13/5*w**4 + 1/5*w**5 + 0*w.
w**2*(w + 2)*(w + 4)*(w + 7)/5
Suppose 2*m - 75 = 9. Suppose -m - 58 = -5*f. Factor 7*x**3 - 3*x**3 + 11*x**3 - 40*x**2 + f*x.
5*x*(x - 2)*(3*x - 2)
Suppose -16*b = 17 - 97. Suppose 7*f + b*f**4 - 20*f**2 - 30*f**3 + 41*f - 36*f + 108*f = 0. Calculate f.
-2, 0, 2, 6
Let s be (5 - 60/14) + 2/7. Let x be (-2)/(-7) - -26*s/7. Solve -4*w**2 + w - 6*w + w - w**5 + 2*w**x + 0*w + 3*w**3 = 0 for w.
-1, 0, 2
Suppose -14501 = z - 14495, 3*g = 2*z + 24. Let -8/11*y**5 - 50/11*y**g - 34/11*y**2 + 108/11*y**3 - 16/11*y + 0 = 0. What is y?
-8, -1/4, 0, 1
Factor -12 - 1560*b**2 - 52 - 100*b**3 + 2931*b - 795*b - 1500*b.
-4*(b + 16)*(5*b - 1)**2
Let a(g) be the first derivative of -3*g**4/20 - 3948*g**3/5 - 7793352*g**2/5 - 6837367488*g/5 - 11540. Factor a(x).
-3*(x + 1316)**3/5
Suppose -210*z + 196*z + 28 = 0. Let j(t) be the second derivative of 0 + 0*t**z + 15*t + 5/6*t**4 - 5/6*t**3 - 1/4*t**5. Suppose j(v) = 0. What is v?
0, 1
Let v(r) = 28*r**3 - 1190*r**2 + 350428*r - 1040763. Let f(l) = 3*l**3 - l**2 - 3*l. Let c(q) = 18*f(q) - 2*v(q). Factor c(p).
-2*(p - 589)**2*(p - 3)
Let h(k) be the third derivative of k**8/1848 + 194*k**7/1155 + 9601*k**6/660 + 3104*k**5/55 + 768*k**4/11 + 240*k**2 - k - 3. Let h(c) = 0. Calculate c.
-96, -1, 0
Let l(w) be the third derivative of w**6/180 - 269*w**5/90 - 121*w**4/4 - 91*w**3 + 771*w**2. Let l(b) = 0. What is b?
-3, -1, 273
Let h(a) be the first derivative of -1/10*a**5 + 39/4*a**2 + 10*a + 83 + 17/6*a**3 - 3/8*a**4. Factor h(l).
-(l - 4)*(l + 1)**2*(l + 5)/2
Let x be (-16 - -10)*(8673/(-1701) + (3 - -2)). Let d(w) be the first derivative of 1/9*w**2 + 5/18*w**4 - x*w**3 + 21 + 4/9*w. What is a in d(a) = 0?
-2/5, 1
Let t(v) be the first derivative of 1/2*v**6 + 74*v**3 - 39 + 117/4*v**4 + 72*v + 6*v**5 + 102*v**2. Factor t(r).
3*(r + 1)*(r + 2)**3*(r + 3)
Let s(y) be the first derivative of -101*y**3/7 + 330*y**2/7 - 108*y/7 + 1516. Factor s(x).
-3*(x - 2)*(101*x - 18)/7
Let w(b) be the first derivative of -4/27*b**3 + 269 + 16/9*b**2 + 44/3*b. What is k in w(k) = 0?
-3, 11
Let n(u) be the third derivative of u**7/945 + u**6/540 - u**5/90 - u**4/108 + 2*u**3/27 - 419*u**2 + 2. Factor n(b).
2*(b - 1)**2*(b + 1)*(b + 2)/9
Suppose 30*w - 28*w + 4*l - 4488 = 0, -6705 = -3*w + 3*l. Solve -21*g**3 - w*g**2 + 800 + 1680*g - 2*g**4 - 9*g**4 - 219*g**3 + 5*g**4 + 4*g**3 = 0 for g.
-20, -1/3, 1
Let y(r) be the second derivative of r**6/660 - r**5/330 - r**4/66 - r**2 - 3*r - 5. Let o(f) be the first derivative of y(f). Suppose o(k) = 0. What is k?
-1, 0, 2
Let b(r) = r**2 - 29. Let o(l) = -10*l**2 - 175*l - 767. Let d(c) = 22*b(c) + 2*o(c). Factor d(v).
2*(v - 181)*(v + 6)
Let l(a) be the second derivative of -5*a**4/12 + 815*a**3/2 + 2455*a**2 + 3062*a. Solve l(t) = 0 for t.
-2, 491
Suppose q = -b + 59, -4*b = -2*q + q - 216. Suppose -75 = -f + 3*k, -5*f + b + 240 = k. Factor f - 118 + 58 - 10*g - 5*g**2.
-5*g*(g + 2)
Let i(z) be the second derivative of z**7/2520 - z**6/60 + 7*z**4/12 - z**2/2 + 62*z. Let g(u) be the third derivative of i(u). Factor g(b).
b*(b - 12)
Let z(n) = 6*n. Let t be z(-4). Let k(c) = -c**2 - 29*c - 117. Let d be k(t). Factor 0 + 1/4*l**d + 1/4*l**4 - 1/2*l**2 + 0*l.
l**2*(l - 1)*(l + 2)/4
Suppose w - 3 + 1 = 0. Let h = 4134083/15 - 275605. Factor 8/15 + h*u + 2/15*u**w.
2*(u + 2)**2/15
Let m(o) = -3*o**3 - 111*o**2 - 217*o - 109. Let h(u) = -4*u**3 - 111*u**2 - 216*u - 109. Let d(i) = -4*h(i) + 6*m(i). Suppose d(k) = 0. Calculate k.
-109, -1
Let l be ((-1)/3*2)/((-20)/3600*45). Suppose 5*n - l - 2*n**2 - 1/3*n**3 = 0. What is n?
-8, 1
Let s(j) = -2*j**2 + 391*j - 18. Let m(x) = 59*x - 7. Let y(v) = -2*v + 1. Let l(z) = 2*m(z) + 10*y(z). Let u(t) = -9*l(t) + 2*s(t). Factor u(c).
-4*c*(c + 25)
Let h(a) be the second derivative of a**7/56 + a**6/60 - 9*a**5/80 + a**3/6 - 228*a + 2. Determine n, given that h(n) = 0.
-2, -2/3, 0, 1
Suppose -45 = 13*i + 7. Let b(t) = 11*t**3 - 221*t**2 + 413*t - 215. Let k(u) = 24*u**3 - 444*u**2 + 825*u - 432. Let p(q) = i*k(q) + 9*b(q). Factor p(z).
3*(z - 69)*(z - 1)**2
Let j(m) be the first derivative of m**6/3 + 242*m**5/5 + 237*m**4 + 1412*m**3/3 + 469*m**2 + 234*m - 1135. Factor j(d).
2*(d + 1)**4*(d + 117)
Suppose -r + 9 = i, 514*i + r = 512*i + 12. Let q(d) be the first derivative of 1/4*d**i - 3/8*d**2 - 6 - 3/2*d. Suppose q(f) = 0. What is f?
-1, 2
Let j(t) be the first derivative of -1/6*t**3 + 2*t - 1/8*t**4 + t**2 - 2. Let j(q) = 0. Calculate q.
-2, -1, 2
Let o be -1 + -3 + 35 + 0. Suppose -o = -5*d - 21. Find w such that -w - 7*w + 51*w**d - 50*w**2 = 0.
0, 8
Suppose 5*w = 65, 0*w = p + 14*w - 139 - 48. Let -1/2*c + 3/2*c**2 + 0 - 1/8*c**p + 3/4*c**4 - 13/8*c**3 = 0. What is c?
0, 1, 2
Let x(g) be the first derivative of -g**6/27 - 2*g**5/5 + 13*g**4/18 + 58*g**3/27 - 4*g**2/3 - 40*g/9 + 799. Let x(s) = 0. What is s?
-10, -1, 1, 2
Find f, given that -22 - 2*f**2 - 40*f + 7*f + f**2 + 20*f = 0.
-11, -2
Find k such that 13*k**4 + 73*k**3 + 52*k**3 - 73*k**4 - 5*k**2 + 5*k**5 - 20*k**3 - 45*k**2 = 0.
0, 1, 10
Let x(y) be the second derivative of 70*y + 0*y**3 + 0*y**4 + 0*y**2 + 0*y**6 + 0 + 1/10*y**5 - 1/21*y**7. Factor x(d).
-2*d**3*(d - 1)*(d + 1)
Determine l, given that -4*l - 338 + 430*l**2 - 151*l + 160*l**3 - 140*l**4 + 48 - 5*l**5 = 0.
-29, -1, 1, 2
Let r(n) = 5*n**5 + 23*n**4 + 18*n**3 - 12*n**2 - 12*n. Let b(s) = s**5 + s**4 - 2*s**2 - 2*s. Let t(l) = -6*b(l) + r(l). Factor t(c).
-c**3*(c - 18)*(c + 1)
Let n = -165 + 185. Factor -5*x**3 - 6*x + 26*x - 2801*x**2 - n + 2806*x**2.
-5*(x - 2)*(x - 1)*(x + 2)
Let x(p) be the second derivative of p**3 - 4 + 3/4*p**2 - 1/8*p**4 - 3/10*p**5 + 2*p. Find i, given that x(i) = 0.
-1, -1/4, 1
Let t(l) = 5*l**4 -