.
-1, 2, 14
Let r = 791308 + -2373922/3. Solve -2/3*d**2 + 4/3*d - 2*d**3 + 0 + 2/3*d**4 + r*d**5 = 0 for d.
-2, -1, 0, 1
Let i(s) = -8060*s**2 + 7495*s - 635. Let k(g) = 620*g**2 - 579*g + 49. Let v(a) = 3*i(a) + 40*k(a). Factor v(z).
5*(z - 1)*(124*z - 11)
Let m(j) be the third derivative of j**6/24 - 23*j**5/6 + 400*j**4/3 - 2000*j**3 + 6*j**2 - 69*j. Determine d, given that m(d) = 0.
6, 20
Suppose -4*w - 3*l = -62, 0 = -2*w + 3*l - 2473 + 2423. Let -1/3*n**w + 12*n + 0 = 0. Calculate n.
0, 36
Let h = -155476 + 33738382/217. Let j = h - 4/31. Find u such that -j*u + 2/7*u**3 + 0 + 0*u**2 = 0.
-1, 0, 1
Let p(n) be the first derivative of -60*n - 35/3*n**3 + 5/4*n**4 + 40*n**2 + 2. Factor p(d).
5*(d - 3)*(d - 2)**2
Suppose 3*v - 36 = 4*z, 5*z = 80*v - 79*v - 34. Let o(d) be the first derivative of 16/21*d**3 + 4/7*d**5 + v + 0*d**2 + 12/7*d**4 + 0*d. Factor o(c).
4*c**2*(c + 2)*(5*c + 2)/7
Let j(b) be the second derivative of -6*b**3 + 11*b - 11/4*b**4 + 0 - 3/2*b**2. Determine n so that j(n) = 0.
-1, -1/11
Determine o so that 28*o**2 - 4600 + 111*o - o**2 - 441*o + 0*o**2 - 32*o**2 = 0.
-46, -20
Let b(j) be the second derivative of -j**8/840 - j**7/140 - j**6/90 - 34*j**3/3 - 130*j. Let s(x) be the second derivative of b(x). Factor s(q).
-2*q**2*(q + 1)*(q + 2)
Let s(u) be the third derivative of -u**10/20160 + u**9/5040 - u**8/4480 + 7*u**4/6 - 6*u**2 + u. Let d(r) be the second derivative of s(r). Factor d(q).
-3*q**3*(q - 1)**2/2
Factor -3037*n**4 + n**5 + 32*n + 64*n**2 + n**5 + 48*n**3 + 3053*n**4.
2*n*(n + 2)**4
Let o be (17/153 + 25/18)/(3/8). Let s(r) be the third derivative of 1/3*r**3 + 0*r + 0 + 0*r**o - 1/120*r**5 + 12*r**2. Factor s(q).
-(q - 2)*(q + 2)/2
Let p = -191 + -17. Let l be (2/(-22))/(4 + 845/p). Factor -2/11*d**2 - 32/11 + l*d.
-2*(d - 4)**2/11
Let f(t) be the first derivative of -t**7/105 - t**6/60 + t**5/6 - t**4/4 + 107*t**2/2 - 109. Let v(g) be the second derivative of f(g). Factor v(j).
-2*j*(j - 1)**2*(j + 3)
Determine h so that -311*h**3 - 2*h**5 + 16810*h + 17*h**4 + 0*h**4 - 3*h**5 - 9225*h**2 - 7674*h**3 + 388*h**4 = 0.
-2, 0, 1, 41
Let x(c) be the first derivative of -c**5/15 + 25*c**4/6 - 181*c**3/9 - 26*c**2 + 276*c + 9179. What is m in x(m) = 0?
-2, 3, 46
Let 146*f**3 - 7*f**4 + 638*f**3 + 3*f**4 - 780*f**2 = 0. Calculate f.
0, 1, 195
Let a(p) = 3*p**3 + 101*p**2 + 404*p - 58. Let m be a(-29). Solve 3/5*g**2 - 2/5*g - 2/5*g**5 + m + 4/5*g**3 - 3/5*g**4 = 0.
-2, -1, 0, 1/2, 1
Let u(f) be the second derivative of -24/7*f**3 - 1/42*f**4 + 30*f - 1 - 1296/7*f**2. Let u(a) = 0. Calculate a.
-36
Suppose 2*w = -6*w + 96. Suppose t - 5*t = w. Let i(b) = 15*b**2 - 215*b + 175. Let n(r) = 2*r**2 - 27*r + 22. Let g(k) = t*i(k) + 25*n(k). Factor g(s).
5*(s - 5)*(s - 1)
Suppose 55*a = 64*a. Let o(y) be the first derivative of 1/14*y**4 + 0*y**3 + a*y - 4 - 1/7*y**2. Determine c so that o(c) = 0.
-1, 0, 1
Let n(z) = 48*z**2 + 214*z + 245. Let r(b) = -988*b - 1716 + 80*b**2 - 416*b**2 - 509*b. Let k(w) = -15*n(w) - 2*r(w). Let k(c) = 0. Calculate c.
-9/4
Let g(h) be the second derivative of 1/72*h**6 + 20*h + 0 + 5/24*h**5 + h**3 + 0*h**2 + 5/6*h**4. Let a(v) be the second derivative of g(v). Factor a(y).
5*(y + 1)*(y + 4)
Let v(t) be the first derivative of 1/4*t - 38 - 1/8*t**2 - 1/12*t**3 + 1/16*t**4. Factor v(n).
(n - 1)**2*(n + 1)/4
Find v such that 8/5 + 0*v + 6/5*v**4 + 2/5*v**3 - 14/5*v**2 - 2/5*v**5 = 0.
-1, 1, 2
Find c, given that 894*c - 24923*c**2 + 24656*c**2 - 3*c**3 - 66*c = 0.
-92, 0, 3
Let k(m) be the second derivative of -m**4/20 - 479*m**3/10 - 157*m - 2. Factor k(x).
-3*x*(x + 479)/5
Let a(f) be the first derivative of f**6/1020 + 7*f**5/510 - 7*f**4/51 + 20*f**3/51 + 239*f**2/2 + 240. Let j(i) be the second derivative of a(i). Factor j(u).
2*(u - 2)*(u - 1)*(u + 10)/17
Solve 91/3 - 92/3*l**2 + 1/3*l**4 - 30*l**3 + 30*l = 0.
-1, 1, 91
Suppose 6562 - 24722 = -10*i. Find j such that -3481*j + 96*j**2 - 30*j**3 + 1793*j + 2*j**4 + i*j = 0.
-1, 0, 8
Factor -675120*h + 341044*h**2 - 81*h**4 + 128*h**4 - 43*h**4 - 2328*h**3 + 336400.
4*(h - 290)**2*(h - 1)**2
Let p be ((-1)/2)/((-201)/(-67))*-10. What is j in 7/3*j**2 + 1/3*j**3 + 11/3*j + p = 0?
-5, -1
Let s be -1 + -1 + 6 + (-14)/(-7). Let h(o) be the second derivative of -8/3*o**3 + 5*o - 8/3*o**4 + 0 + 0*o**2 - 14/15*o**s + 19/5*o**5. What is g in h(g) = 0?
-2/7, 0, 1, 2
Let i(a) be the third derivative of -a**6/540 - a**5/135 + 71*a**4/108 + 8*a**3/3 + 8*a**2 + 71*a. What is s in i(s) = 0?
-9, -1, 8
Let q be (30/(-1035) - 696/1380)*-5. Find f, given that 8/3*f**3 - 4/3*f**5 - 4/3*f + 16/3*f**2 - q*f**4 - 8/3 = 0.
-2, -1, 1
Let g be (-3 + 1 + 1)/(-38 - -28). Let a(b) be the third derivative of 4*b**2 + 2/15*b**3 - g*b**4 + 1/25*b**5 + 0 + 0*b - 1/150*b**6. Factor a(x).
-4*(x - 1)**3/5
Let k(z) be the second derivative of 1/40*z**5 - 4 + 1/2*z**2 - 5/12*z**3 + 1/21*z**7 + 6*z - 13/24*z**4 + 11/60*z**6. Solve k(x) = 0.
-2, -1, 1/4, 1
Let f(h) be the third derivative of 0 - 30*h + 4/105*h**5 - 2/7*h**3 - 5/84*h**4 + 1/140*h**6 - 2*h**2. What is l in f(l) = 0?
-3, -2/3, 1
Let u(b) = -4*b**2 + 22*b - 18. Let g(d) be the first derivative of -d**2/2 + d + 24. Let r(o) = 6*g(o) - u(o). Factor r(l).
4*(l - 6)*(l - 1)
Let i(p) be the first derivative of 6/25*p**5 + 1/2*p**4 - 4/5*p + 53 - 2/15*p**3 - p**2. Solve i(d) = 0.
-1, -2/3, 1
Let 0 + 0*a + 72/7*a**4 - 2/7*a**5 - 648/7*a**3 + 0*a**2 = 0. Calculate a.
0, 18
Let c(j) = 55*j**2 - 45*j - 10. Let k(w) = -2*w**2 + 2*w. Let y(p) = p**3 - 14*p**2 + 4*p - 31. Let f be y(14). Let z(u) = f*k(u) + c(u). Factor z(a).
5*(a - 1)*(a + 2)
Let v = -9596/3 + 3199. Let l(n) be the first derivative of 0*n**3 + 0*n**2 + v*n**6 + 15 + 0*n - 8/3*n**4 - 44/15*n**5. Suppose l(r) = 0. Calculate r.
-2/3, 0, 8
Let -112*n**2 - 2178 + 74*n - 541*n - 250*n + 115*n**2 = 0. Calculate n.
-3, 242
Let n(h) = h**2 - 32*h + 65. Let o be n(2). Let b be -5*o/(-45) - (-2)/(-9). What is m in m**3 - 1/3*m**2 - m**4 + 0 + b*m**5 + 0*m = 0?
0, 1
Find a such that 136/11*a + 48/11 - 564/11*a**2 + 50/11*a**4 - 210/11*a**3 = 0.
-2, -1/5, 2/5, 6
Suppose -41*i**2 + 5*i**5 + 54*i**3 - 54*i**2 + 120 - 1617867*i - 9*i**3 + 1617757*i + 35*i**4 = 0. Calculate i.
-4, -3, -2, 1
Let n(l) be the first derivative of -8/21*l**3 + 4/7*l - 76 - 1/7*l**2 + 3/14*l**4. Factor n(q).
2*(q - 1)**2*(3*q + 2)/7
Let j(w) = -2*w**3 - 2*w - 3. Let c be (-10)/15*(-6)/(-4)*2. Let v be j(c). Factor -6*n + v*n - 11*n - n**2 + 1.
-(n - 1)*(n + 1)
Let p = 34953 + -173352/5. Let x = -281 + p. Determine u, given that 0 - 34*u**3 + 8/5*u + 72*u**5 + x*u**2 - 206/5*u**4 = 0.
-2/5, -1/4, 0, 2/9, 1
Solve 436/5*b**2 - 2/5*b**3 + 0 - 23762/5*b = 0 for b.
0, 109
Let s be ((-50)/(-160))/(20/144). Suppose 4*x = 5*k + 2 - 5, k + 3*x - 12 = 0. Factor -3/4 - 3/4*f**k - 9/4*f - s*f**2.
-3*(f + 1)**3/4
Let x = 890 + -703. Factor -76*a + x*a + 273 - 24 - 5*a**2 - 29 + 104*a.
-5*(a - 44)*(a + 1)
Let l = -210 - -212. Let m(q) be the third derivative of 11*q**l - 1/24*q**6 + 0*q + 0 + 13/12*q**5 - 10*q**4 + 30*q**3. Suppose m(j) = 0. What is j?
1, 6
Suppose -16 = 4*u - 2*t + 6*t, -4*u = -5*t - 20. Solve -3495*s + 3479*s + 0*s**2 + 8*s**4 + 15*s**3 - 8*s**2 + s**5 + u*s**5 = 0 for s.
-4, -1, 0, 1
Let k = -467937/10 + 46717. Let g = k - -386/5. Factor 5/4*a**4 + 0 - 1/2*a**3 + g*a - 5/4*a**2.
a*(a - 1)*(a + 1)*(5*a - 2)/4
Let v be 50/4*((-12844)/780 + 19 + -2). Find m such that v*m**2 - 2 + 11/3*m + m**3 = 0.
-6, -1, 1/3
Suppose -120 + 0*m**2 - 70*m + 5/2*m**3 = 0. What is m?
-4, -2, 6
Let m(g) be the second derivative of -201/10*g**5 - 7/20*g**6 + 0 - 361/2*g**3 - 2603/8*g**4 - 33*g + 0*g**2. Factor m(x).
-3*x*(x + 19)**2*(7*x + 2)/2
Factor -387*c - 13369*c**2 + 13366*c**2 + 300*c - 594.
-3*(c + 11)*(c + 18)
Let n(k) be the second derivative of -97*k**4/30 + 33*k**3/5 - 2*k**2/5 - 16*k - 15. Factor n(r).
-2*(r - 1)*(97*r - 2)/5
Let g(l) be the first derivative of -1/28*l**4 + 16/7*l + 73 - 1/21*l**3 + 8/7*l**2. Factor g(f).
-(f - 4)*(f + 1)*(f + 4)/7
Let w be 0/(-12) - (-20 + 18). Let 8/7*p**w - 8/7 + 2/7*p - 2/7*p**3 = 0. What is p?
-1, 1, 4
Let n(f) be the first derivative of f**6/36 + f**5/5 + 11*f**4/24 + f**3/3 - 882. Factor n(m).
m**2*(m + 1)*(m + 2)*(m + 3)/6
Let c be (4 - 9) + 2 - -1. Let j b