e -77 + 34*i + 48*i**4 - 22*i**3 - 8*i**3 + 15*i**2 + 96*i - 43*i**4 - 43 = 0. Calculate i.
-2, 1, 3, 4
Let u = -6298 + 6300. Let d(a) be the second derivative of -4*a**u - 1/6*a**4 + 0 - 4/3*a**3 + 13*a. Find b, given that d(b) = 0.
-2
Let a(m) be the third derivative of -2*m**2 - 17*m + 1/7*m**5 - 1/35*m**6 + 0 + 1/735*m**7 - 1/3*m**4 + 3/7*m**3. Factor a(x).
2*(x - 9)*(x - 1)**3/7
Let n(f) be the third derivative of -21*f**2 - 2*f**3 + 0*f - 1/4*f**4 + 1/140*f**7 + 1/16*f**6 + 3/20*f**5 + 0. Factor n(g).
3*(g - 1)*(g + 2)**3/2
Let c(n) = 2*n**3 - 10*n**2 + 2*n - 6. Let q be c(5). Let i(r) be the first derivative of -1/12*r**q + 1/2*r**2 - 11 + 0*r**3 - 2/3*r. What is u in i(u) = 0?
-2, 1
Suppose -o - 5 = -2*f + 2*o, -3*o + 7 = f. Suppose -f*k**2 - 10 - 2 - 157966*k + 157982*k = 0. Calculate k.
1, 3
Let x(c) be the first derivative of 1/8*c**6 - 3/2*c**2 + 0*c - 38 + 9/16*c**4 - c**3 + 3/5*c**5. Solve x(p) = 0.
-2, -1, 0, 1
Let d(z) = -235*z**3 - 477*z**2 - 233*z - 3. Let v(l) = 939*l**3 + 1909*l**2 + 929*l + 13. Let q(y) = 9*d(y) + 2*v(y). Factor q(k).
-(k + 1)**2*(237*k + 1)
Suppose -15552 = 26*f - 80*f. Let h be (384/f)/(1/3). Factor 20/7*n**3 + 2/7*n**h + 0*n + 0 + 50/7*n**2.
2*n**2*(n + 5)**2/7
Let u(i) = -15*i**2 - 185*i + 706. Let p(m) = 23*m**2 + 187*m - 705. Let g(b) = 2*p(b) + 3*u(b). Factor g(w).
(w - 177)*(w - 4)
Determine l, given that 0*l + 0 - 40/9*l**2 - 2/9*l**3 = 0.
-20, 0
Let m(o) = -8*o**4 + 2686*o**3 - 5358*o**2 + 2680*o + 25. Let t(f) = -12*f**4 + 4028*f**3 - 8036*f**2 + 4020*f + 40. Let n(u) = 8*m(u) - 5*t(u). Factor n(r).
-4*r*(r - 335)*(r - 1)**2
Factor 2/9*h**4 - 20/9*h**3 + 0 - 26/9*h**2 + 44/9*h.
2*h*(h - 11)*(h - 1)*(h + 2)/9
Factor -154*v**3 - 311*v - 3*v**4 - 625*v**2 - 245*v**3 - 224*v**3 + 306*v**3.
-v*(v + 1)**2*(3*v + 311)
Let y(q) be the first derivative of q**6/24 - 15*q**5/4 + 1125*q**4/8 - 5625*q**3/2 - 11*q**2/2 - 66. Let k(h) be the second derivative of y(h). Factor k(i).
5*(i - 15)**3
Let j(q) be the second derivative of -2 - 1/6*q**4 + 0*q**3 + 66*q + 0*q**5 + 0*q**2 + 1/15*q**6. What is l in j(l) = 0?
-1, 0, 1
Let l(r) be the first derivative of -14*r**3/15 + 106*r**2 + 304*r/5 + 304. Find m, given that l(m) = 0.
-2/7, 76
Let u(j) = j**2 - 11*j - 39. Let a be u(-3). Factor -28*i**2 + 56*i**2 - a*i**4 - 22*i**2 - 3*i**3.
-3*i**2*(i - 1)*(i + 2)
Solve -26*d - 13*d**3 + 2*d**2 + 71*d**3 - 8 - 10*d**2 - 5*d**2 - 53*d**3 = 0.
-1, -2/5, 4
Suppose -5*n - 11 = -71. Factor -28*o**2 - 31*o + 61*o + 73*o**2 + 42*o - n*o**3 + 15.
-3*(o - 5)*(o + 1)*(4*o + 1)
Let 14058*b**2 - 11528*b**3 + 372*b**4 - 4*b**5 + 63386*b**2 + 11532*b - 119164 + 41348*b**2 = 0. What is b?
-1, 1, 31
Let p = -484613 - -484618. Factor 5/4*m**4 + 0 - 1/4*m**p - 9/4*m**2 + 0*m - 3/4*m**3.
-m**2*(m - 3)**2*(m + 1)/4
Let o(w) be the first derivative of -w**5/30 + 2*w**4/3 + w**3/3 - 154*w**2/3 - 605*w/6 - 43. Determine a so that o(a) = 0.
-5, -1, 11
Factor -1/2*f**3 - 135*f**2 + 546*f - 548.
-(f - 2)**2*(f + 274)/2
Suppose -2*l = a - 15, -5*l - 14709*a + 14713*a - 21 = 0. Factor 2/9*n**l + 0*n - 8/9 + 2/3*n**2.
2*(n - 1)*(n + 2)**2/9
Let r(t) = -2737*t - 24630. Let m be r(-9). Determine f so that -256/15*f + 192/5*f**2 - 2/5*f**5 - 76/5*f**m - 86/15*f**4 + 0 = 0.
-8, 0, 2/3, 1
Let o(x) = 15*x - 927. Let j be o(62). Let b(g) be the third derivative of -1/24*g**4 + 0 + 0*g**j + 1/120*g**5 - 13*g**2 + 0*g. Let b(u) = 0. What is u?
0, 2
Solve 44*q + 2/13*q**2 + 570/13 = 0 for q.
-285, -1
Suppose -4*m = -63 - 13. Let c = -14 + m. Factor -2*t + c*t**2 - 13*t**2 - 4*t**3 + 4*t**4 + 6*t + 8 - 4*t**2.
4*(t - 2)*(t - 1)*(t + 1)**2
Let -200*s - 3*s**5 - 80 + 236*s + 20*s**2 - 6*s**4 + 182 + 2*s**5 - 86 - 5*s**3 = 0. Calculate s.
-4, -2, -1, 2
Let m(j) be the first derivative of j**6/7 + 34*j**5/5 - 24*j**4/7 - 216*j**3/7 - 160*j**2/7 + 2056. Determine u, given that m(u) = 0.
-40, -1, -2/3, 0, 2
Let b(l) be the first derivative of -3/20*l**4 + 6/5*l**2 - 73 + 0*l**3 + 0*l. Find p such that b(p) = 0.
-2, 0, 2
Let g(w) be the second derivative of -w**4/30 + 4*w**3 - 116*w**2/5 - 4*w - 176. Solve g(n) = 0.
2, 58
Suppose 0 = 17*r + 13*r. Let j(o) be the third derivative of 1/60*o**5 + 0*o**3 + 0 + r*o - 4*o**2 + 0*o**4. Find p such that j(p) = 0.
0
Let z(v) = -v**3 - 19*v**2 + 20*v + 12. Let u be z(-20). Suppose -17*o + 25 = -u*o. Let -o*b - 45*b**2 - 1174 + 1174 = 0. Calculate b.
-1/9, 0
Factor 0*u + 0 - 5/4*u**3 - 5*u**2.
-5*u**2*(u + 4)/4
Let f = -9955 - -9958. Let i(v) be the first derivative of 3/32*v**4 - 5/24*v**f + 1/8*v**2 + 0*v + 3. Let i(x) = 0. Calculate x.
0, 2/3, 1
Let q be 20/(-4) + -28 + (-1 - 0). Let m be (2 + 0 + q)*(-6)/8. Let 132*b**3 + 34*b**4 - 196*b**2 - 19*b**4 + 17*b**4 - 48*b**5 - m + 8 + 96*b = 0. What is b?
-2, 1/2, 2/3, 1
Let s(b) be the second derivative of -b**4/3 + 32*b**3/3 - 2044*b. Factor s(x).
-4*x*(x - 16)
Let v = -99886/5 - -19866. Let l = v + 562/5. Suppose 3/5*c**2 + 3/5 + l*c = 0. What is c?
-1
Let p = -58 + 99. Determine z, given that -117 - 56*z - 4*z**2 - 33 + p - 87 = 0.
-7
Let v(l) = -141*l**2 + 25*l - 1 - 135*l**2 - 25 + 279*l**2. Let j(y) = 80*y**2 + 675*y - 700. Let w(h) = 2*j(h) - 55*v(h). Determine i, given that w(i) = 0.
-6, 1
Let n = 864 + -862. Let v(m) be the third derivative of 0*m**5 + 0*m + 0 + 2*m**n + 4/21*m**3 - 1/210*m**6 + 1/14*m**4. Factor v(k).
-4*(k - 2)*(k + 1)**2/7
Suppose -4*x = -4*o + 32, -2*o - x - 45 + 43 = 0. Factor -15/4*p + 5/4*p**o - 45/2.
5*(p - 6)*(p + 3)/4
Let n(h) be the third derivative of h**7/105 - 4*h**6/15 + 11*h**5/30 + 16*h**4/3 - 20*h**3 - 306*h**2 + 5*h. Let n(o) = 0. What is o?
-2, 1, 2, 15
Let n be 144/(-648) + (-1)/(18/(-6466)). Factor 297*b + n*b - 4500 - 5*b**2 - 956*b.
-5*(b + 30)**2
Let b be 5948/844 + (-55)/10. Let q = b + -10/211. Solve -17/4*x**2 + 0 - 3/4*x**3 + q*x = 0.
-6, 0, 1/3
Let k = 242 + -215. Let q(w) be the second derivative of -320*w**2 + 7/2*w**5 - k*w + 0 + 400/3*w**3 - 1/6*w**6 - 30*w**4. What is m in q(m) = 0?
2, 4
Let b be ((324/(-120))/9)/((-9)/60). Let p(s) be the second derivative of b*s**2 + 5/3*s**3 + 20*s + 0 + 1/10*s**5 + 2/3*s**4. Factor p(w).
2*(w + 1)**2*(w + 2)
Let r = 383150 - 3448346/9. Suppose -r*p**2 + 20/9 + 16/9*p = 0. Calculate p.
-1, 5
Let y be (168/6 - -4) + 7. Suppose 0 - 37*c - 2 + 80*c**3 - y*c**2 - 95*c**3 - 10 - c**4 = 0. Calculate c.
-12, -1
Let g(f) be the third derivative of -3/80*f**5 + 2/3*f**3 + 0*f - 1/480*f**6 - 1/16*f**4 - 3*f**2 + 29. Factor g(m).
-(m - 1)*(m + 2)*(m + 8)/4
Let o(n) be the second derivative of -n**10/7560 + 2*n**9/945 - n**8/80 + n**7/35 - 19*n**4/4 - 3*n. Let x(v) be the third derivative of o(v). Factor x(i).
-4*i**2*(i - 3)**2*(i - 2)
Let l be 4/24 - (-6 - 182/6). Let w = l - 289/8. Factor -9/4*r**3 - 15/4*r + 9/2*r**2 + w*r**4 + 9/8.
3*(r - 3)*(r - 1)**3/8
Let n(g) = -g**3 + 26*g**2 + 64*g - 110. Let c be n(28). Let q be (-4)/16*(3 - 390/c). Factor 2/19 + q*w**3 - 2/19*w - 2/19*w**2.
2*(w - 1)**2*(w + 1)/19
Let g be 1806/(-7353)*1/(-7)*180/3. Determine j so that 14/19 - 20/19*j**2 + 40/19*j**3 - g*j + 6/19*j**4 = 0.
-7, -1, 1/3, 1
Factor -7/4*a**2 - 3/4 + a**3 - 7/2*a.
(a - 3)*(a + 1)*(4*a + 1)/4
Let m(b) be the third derivative of 25/3*b**3 - 5/6*b**5 - 1/24*b**6 - 21*b + 5/24*b**4 + 0 - b**2. What is o in m(o) = 0?
-10, -1, 1
Let p = 19122 - 19117. Let j(z) be the second derivative of 1/18*z**4 - 5*z + 0*z**2 + 0 - 1/18*z**3 - 1/60*z**p. Determine u so that j(u) = 0.
0, 1
Determine i, given that 35/2 + 49/8*i**3 + 1743/8*i**2 + 123*i = 0.
-35, -2/7
Suppose 0 = 63*d - 60*d - 15. Let t(f) be the second derivative of -2/5*f**2 + 4/25*f**d - 2/5*f**3 - 11*f + 0*f**4 + 0. Factor t(c).
4*(c - 1)*(2*c + 1)**2/5
Solve -20*w**3 - 27508/7*w + 3312/7*w**2 + 2/7*w**4 + 24334/7 = 0 for w.
1, 23
Let k = 572 + 76. Solve 265*o**3 - 54*o**4 - k*o**2 + 89*o**5 - 86*o**5 + 59*o**3 = 0 for o.
0, 6
Solve 12*r**3 - 454/5*r**2 + 922/5*r - 60 = 0.
2/5, 3, 25/6
Let -33241*v**2 + 225784*v**3 - 70230*v**4 - 41326*v**4 + 2237*v - 16 + 467*v - 83675*v**2 = 0. What is v?
2/167, 1
Let s(f) be the third derivative of f**8/504 + f**7/9 + 127*f**6/180 + 89*f**5/90 - 32*f**4/9 - 124*f**3/9 + 2*f**2 - 680*f. Determine o so that s(o) = 0.
-31, -2, -1, 1
Let i = 198993 + -18506146/93. Let q = 15/31 + i. Solve 10/3*t + 