te v.
1, 21
Factor -12*i**2 - 198*i - 2/11*i**3 + 0.
-2*i*(i + 33)**2/11
What is f in -2/21*f**4 - 2/21*f**5 + 2/3*f**3 + 2/21*f**2 - 4/7*f + 0 = 0?
-3, -1, 0, 1, 2
Let w = 3126 - 3123. Let r(f) be the second derivative of -3/10*f**6 + 0 - 1/4*f**4 - 3/5*f**5 + 0*f**2 - 11*f + 0*f**w. Factor r(m).
-3*m**2*(m + 1)*(3*m + 1)
Let s(z) = -z**2 - 8*z - 15. Let t be s(-3). Suppose 2*f**2 + t*f**2 - 2 + 117*f**3 - 116*f**3 - f = 0. Calculate f.
-2, -1, 1
Let o(b) be the second derivative of b**6/120 - b**5/15 + b**4/6 - 217*b**2/2 + 257*b. Let d(r) be the first derivative of o(r). Factor d(f).
f*(f - 2)**2
Let r(b) = 2*b**2 - 1090*b + 1076. Let l(j) = -11*j**2 + 6547*j - 6458. Let n(s) = 2*l(s) + 13*r(s). Find o, given that n(o) = 0.
1, 268
Let d = 5/152 - -229/2280. Let b = -1024/105 - -72/7. Factor b - 2/5*u**2 + d*u.
-2*(u + 1)*(3*u - 4)/15
Let q be ((-29)/(-290))/(22/(-12)). Let m = 89/385 - q. Factor m*u**2 + 4/7*u + 2/7.
2*(u + 1)**2/7
Let k(v) be the third derivative of -13*v**5/20 - 3*v**4 - 866*v**2 + v. Let k(m) = 0. Calculate m.
-24/13, 0
Let m(a) be the second derivative of a**4/4 + 669*a**3 + 1342683*a**2/2 - 4*a - 464. Let m(w) = 0. What is w?
-669
Let v(l) = -l**4 + 49*l**3 - 477*l**2 - 3605*l + 16940. Let d(f) = f**4 - 99*f**3 + 952*f**2 + 7205*f - 33880. Let n(c) = -6*d(c) - 11*v(c). Factor n(s).
5*(s - 7)*(s - 4)*(s + 11)**2
Let w(n) = -38*n**4 + 109*n**3 - 57*n**2 + 3*n + 3. Let b(f) = -70*f**4 + 219*f**3 - 115*f**2 + 5*f + 5. Let s(z) = -3*b(z) + 5*w(z). Find d such that s(d) = 0.
0, 3/5, 5
Suppose 3*l = -5*s + 19, 5*l + 3*s - 16 = 5. Factor 6*x**2 + l*x**4 - 9*x**2 - x**3 - 44*x**5 + 2*x + 43*x**5.
-x*(x - 2)*(x - 1)**2*(x + 1)
Suppose -2*x + 4*x = -16. Let b be (-897)/(-33) - x/(-44). Factor -b*p - 17*p + 12*p**3 - 27 + 2*p - 3*p**2.
3*(p + 1)**2*(4*p - 9)
Let s(z) be the first derivative of -z**5/270 - 8*z**4/27 - 256*z**3/27 - 87*z**2/2 + 96. Let t(c) be the second derivative of s(c). Factor t(p).
-2*(p + 16)**2/9
Let z(x) be the first derivative of x**8/224 + x**7/60 + x**6/48 + x**5/120 - 55*x**2/2 - 20. Let q(y) be the second derivative of z(y). Factor q(n).
n**2*(n + 1)**2*(3*n + 1)/2
Let b(m) be the first derivative of m**3/4 - 249*m**2/8 - 63*m - 3915. Factor b(i).
3*(i - 84)*(i + 1)/4
Let u(g) be the third derivative of g**7/2940 + g**6/1260 - 23*g**3/2 + 29*g**2. Let v(w) be the first derivative of u(w). Factor v(f).
2*f**2*(f + 1)/7
Suppose -2*s - 42 = -5*s. Let t be (60/(-9))/((s/3)/(-7)). Factor -10*n + 12*n**2 - 24*n**2 - 12 + t*n**2.
-2*(n + 2)*(n + 3)
Let a be 5*1 - -10*906/144. Let o = -261/4 + a. Factor 10/3*y**3 + 0 + o*y**4 + 4/3*y**2 + 0*y + 2/3*y**5.
2*y**2*(y + 1)**2*(y + 2)/3
Let j(c) be the third derivative of -c**7/630 - c**6/45 - c**5/45 + 2*c**4/3 + 439*c**2. Let j(w) = 0. Calculate w.
-6, -4, 0, 2
Suppose 0 = -m + 4*t + 10938, 4*m + 2*t = -3*t + 43752. Factor -9*q**2 - 10938 + 3*q**3 + m.
3*q**2*(q - 3)
Suppose 0 = -2*h - 6, -4*b + 4*h + 12 = -0*b. Let t = 4/1053 - -1037/4212. Let -t*d**5 - 2*d**2 + b + 3/4*d + 3/2*d**3 + 0*d**4 = 0. Calculate d.
-3, 0, 1
Suppose -152*d + 377 + 280 - 201 = 0. Let n(x) be the first derivative of -31 + 16/5*x - 2/15*x**d - 2/5*x**2. Factor n(z).
-2*(z - 2)*(z + 4)/5
Suppose -294 = -0*p - 49*p. Suppose -4*g - 5 = -j + p, 5*g + 25 = 5*j. Let 16/3*a + 32/3 - 14/3*a**2 + 2/3*a**j = 0. Calculate a.
-1, 4
Let j(v) be the first derivative of -3*v**5/25 - 33*v**4 - 15984*v**3/5 - 558552*v**2/5 + 2431344*v/5 + 1859. Factor j(x).
-3*(x - 2)*(x + 74)**3/5
Factor -23*x - 22701 - 36*x - 3*x**3 + 23133 + 57*x**2 - 229*x.
-3*(x - 12)*(x - 4)*(x - 3)
Let r = -301 - -305. Determine q so that 5*q**3 - 5*q**3 + 2*q**4 + 209*q**2 - r*q - 215*q**2 = 0.
-1, 0, 2
Let w(j) = -108*j - 35. Let l be w(5). Let h be (10/6)/((l/(-30))/23). Factor -1/6*m**h + 7/6 + m.
-(m - 7)*(m + 1)/6
Let h(n) be the second derivative of n**3/6 + 5*n**2/2 + 13*n. Let t be h(17). Factor 10*p + 16*p**2 - 18*p**4 + 78*p**3 + 64*p**2 - t*p**2.
-2*p*(p - 5)*(3*p + 1)**2
Let d(v) be the third derivative of -v**5/20 + 45*v**4/8 - 148*v**3 - 2775*v**2. Determine f, given that d(f) = 0.
8, 37
Let u(s) be the third derivative of -s**7/420 - 19*s**6/240 + s**5/40 + 59*s**4/48 + 19*s**3/6 + 2*s**2 + 666. Let u(d) = 0. Calculate d.
-19, -1, 2
Let i(d) be the third derivative of -4 - 50/51*d**3 + 0*d + 3*d**2 + 1/1020*d**6 - 2/85*d**5 + 15/68*d**4. Factor i(k).
2*(k - 5)**2*(k - 2)/17
Let b(y) be the second derivative of 0 + 8/3*y**3 + 1/45*y**6 + 11/9*y**4 + 4/15*y**5 - 75*y + 3*y**2. Factor b(d).
2*(d + 1)**2*(d + 3)**2/3
Factor 460/7 + 459/7*x - 1/7*x**2.
-(x - 460)*(x + 1)/7
Let y = -169947 + 679809/4. Factor 0 - y*i + 1/4*i**2.
i*(i - 21)/4
Let b(k) be the first derivative of -198*k**2 - 19602*k + 262 - 2/3*k**3. Factor b(z).
-2*(z + 99)**2
Let i(j) be the third derivative of -1/80*j**5 - 2*j + 0 - 11*j**2 - 5/12*j**3 - 17/96*j**4. Let i(g) = 0. What is g?
-5, -2/3
Let d be 258/63 + (-24)/252. Let s be (-12080)/(-4760) - d/(-14). Solve -s*a**2 + 0 - 16/17*a**4 + 18/17*a + 44/17*a**3 + 2/17*a**5 = 0 for a.
0, 1, 3
Factor 15*g**3 - 2*g**3 + 2625*g - 6*g**3 - 12*g**3 - 340*g**2.
-5*g*(g - 7)*(g + 75)
Let u(m) = m**2 - 3*m. Let f be u(7). Let d = f + -24. Solve -4*x**2 + d*x**4 + 0*x**5 - 2*x - 6*x - 4*x**5 + 12*x**3 + 0*x**5 = 0 for x.
-1, 0, 1, 2
Solve 30186/11*n - 378/11 - 5804130/11*n**4 - 986078/11*n**5 + 7572308/11*n**3 - 811908/11*n**2 = 0.
-7, 3/79, 1
Factor -3/5*f**3 - 78/5*f**2 + 3/5*f**4 - 72/5*f + 0.
3*f*(f - 6)*(f + 1)*(f + 4)/5
Let q(y) be the first derivative of -2*y**5/15 - 11*y**4/6 - 64*y**3/9 - 28*y**2/3 + 1187. What is u in q(u) = 0?
-7, -2, 0
Let v = 201 - 163. Let -v*k**3 - 37*k**2 + 8*k - 30*k**3 - 55*k**2 - 32*k**3 = 0. What is k?
-1, 0, 2/25
Suppose 77*o = 76*o + 5. Suppose -3 = o*c - 28. Determine a so that 246*a**2 - 44*a + 24 - 6*a**3 + 46*a**3 - 246*a**2 + 4*a**c - 24*a**4 = 0.
-1, 1, 2, 3
Solve 18870192/7*g**2 - 10032/7*g**3 + 2/7*g**4 - 15775480512/7*g + 4945613140512/7 = 0 for g.
1254
Let q(k) = k**2 + 34*k + 1. Let u(s) = -s**2 - 253*s + 544. Let g(p) = -2*q(p) - u(p). Factor g(h).
-(h - 182)*(h - 3)
Suppose 0 + 2/9*c**2 + 4/9*c = 0. Calculate c.
-2, 0
Let l(b) be the second derivative of b**6/90 - 10*b**5/9 + 11*b**4/6 - 14*b**3/3 - 67*b. Let d(n) be the second derivative of l(n). Find u such that d(u) = 0.
1/3, 33
Suppose 10537*k - 118 = 10478*k. Factor 2/11*b**k - 248/11*b + 7688/11.
2*(b - 62)**2/11
What is v in 8 - 24/7*v**4 - 2/7*v**5 + 78/7*v - 32/7*v**2 - 76/7*v**3 = 0?
-7, -4, -1, 1
Let w(v) be the first derivative of 5*v**4 + 112*v**3 + 768*v**2 + 1024*v - 2143. Find f such that w(f) = 0.
-8, -4/5
Let p be (-3)/(-100)*(-900)/(-1080). Let k(f) be the third derivative of -p*f**6 + 0*f**4 - 9*f**2 + 0*f**3 + 1/10*f**5 + 0*f + 0. Factor k(s).
-3*s**2*(s - 2)
Let n(h) = -5*h**3 + 1118*h**2 - 61573*h - 264500. Let w(b) = 55*b**3 - 12300*b**2 + 677295*b + 2909500. Let q(a) = 65*n(a) + 6*w(a). What is l in q(l) = 0?
-4, 115
Let l = -50 - -39. Let h be ((-3)/(-4))/(l/(-44)). Factor 9*d**3 - 10*d**3 - 9*d**h + 15*d**2 - 5*d**4.
-5*d**2*(d - 1)*(d + 3)
Let l = 180 + -181. Let v(j) = 15*j**3 + 6*j**2 + 15*j - 9. Let h(m) = 2*m**3 + m**2 + m - 1. Let g(t) = l*v(t) + 9*h(t). Let g(s) = 0. What is s?
-2, 0, 1
Let n(z) be the third derivative of z**8/84 + 4*z**7/21 + 11*z**6/10 + 8*z**5/3 + 8*z**4/3 - 818*z**2 + 1. Factor n(o).
4*o*(o + 1)**2*(o + 4)**2
Suppose 5*w = -5*c - 25, 4*c + 36 = 8. What is z in -1/4*z**3 + 3/4*z + 1/2*z**w + 0 = 0?
-1, 0, 3
Let j be 1/4*-8 + 4*(-2 - -3). Let p(d) be the second derivative of 18*d + 0*d**j + 1/9*d**3 + 0 - 2/15*d**5 - 1/6*d**4. Factor p(c).
-2*c*(c + 1)*(4*c - 1)/3
Let j(u) = -u + 49. Suppose 0 = h + 4*y - 42, -4*h - 4*y + 76 = -104. Let a be j(h). Factor 0 - 4/11*d - 2/11*d**2 + 2/11*d**a.
2*d*(d - 2)*(d + 1)/11
Let q(d) = 15*d**3 + 3840*d**2 + 249538*d + 483853. Let t(f) = 5*f**3 + 1280*f**2 + 83179*f + 161284. Let r(h) = 6*q(h) - 17*t(h). Factor r(p).
5*(p + 2)*(p + 127)**2
Let m(k) be the first derivative of -k**3/21 - 13*k**2 - 1183*k - 1721. Determine i so that m(i) = 0.
-91
Suppose 14 = 12*t - 22. Factor 102*s + 428*s**3 - 433*s**t - 37*s + 60.
-5*(s - 4)*(s + 1)*(s + 3)
Let c(z) be the first derivative of -z**6/420 + 4*z**5/105 - 13*z**4/84 + 2*z