 = -695*m + 6480 - 19*m**2 + 18*m**2 + 15*m**2 + 31*m**2. Let s(f) = -6*c(f) - 25*h(f). What is l in s(l) = 0?
18
Suppose -m = 2*k - 89, -1 = -4*k + 3. Suppose -f - m = -2*z, -f = -5*z + 10*z - 228. Factor -z*o - 44*o + 8 + 77*o + 4*o**2.
4*(o - 2)*(o - 1)
Let g(z) = z**3 + 20*z**2 - 7*z - 80. Let i be g(-20). Determine y, given that 3*y - 19*y + i*y**2 - 58*y**2 - 4*y + 42 = 0.
3, 7
Factor 38930218/15 + 538/5*o**2 - 2/15*o**3 - 144722/5*o.
-2*(o - 269)**3/15
Let z(y) be the first derivative of y**3/12 + 599*y**2/4 - 1199*y/4 - 1603. Let z(d) = 0. What is d?
-1199, 1
Factor -249696*r**2 - 2/3*r**4 + 0 - 816*r**3 + 0*r.
-2*r**2*(r + 612)**2/3
Let l(a) be the first derivative of a**4/8 - 14*a**3/3 + 57*a**2 - 288*a - 972. Find m such that l(m) = 0.
6, 16
Let b be 31 + -20 - 39003/663. Let c = -698/17 - b. Let -24/13*f**4 - 22/13*f**3 + 16/13 + c*f + 92/13*f**2 = 0. Calculate f.
-2, -2/3, -1/4, 2
Let 129/2*k**2 + 0 + 15/2*k**4 + 115/4*k + 1/4*k**5 + 43*k**3 = 0. Calculate k.
-23, -5, -1, 0
Suppose 344 - 56 = 32*u. Let y = u + -17/2. Factor 0*m**2 - y*m**4 - m**3 + 0*m + 0.
-m**3*(m + 2)/2
Factor 1000 - 66*z**2 - 2*z**3 - 3*z**3 + 53*z**2 - 250*z + 14*z**2 - 116*z**2.
-5*(z - 2)*(z + 5)*(z + 20)
Suppose 3*u - 1328 + 1324 = 2*d, 0 = -49*u - 3*d - 6. Factor u*h**2 + 2/7 - 1/7*h**3 + 3/7*h.
-(h - 2)*(h + 1)**2/7
Let -4*i - 1/7*i**4 + 1/7*i**2 + 4*i**3 + 0 = 0. What is i?
-1, 0, 1, 28
Factor -14*c**3 - 2496*c + 1639 + 28*c**3 - 18*c**3 - 336*c**2 - 6503.
-4*(c + 4)**2*(c + 76)
Let f = -131 + -534. Let v be ((-2)/(-9))/((f/126)/(-19)). Factor 0 + 2/5*t**3 + 0*t + v*t**2 - 2/5*t**4.
-2*t**2*(t - 2)*(t + 1)/5
Let m(l) = -l**3 + 2*l. Let c(d) = 4*d**3 + 33*d**2 + 59*d - 160. Let g(n) = -c(n) - 5*m(n). Let v(i) be the first derivative of g(i). Factor v(x).
3*(x - 23)*(x + 1)
Let t(c) be the second derivative of -c**7/63 - 23*c**6/45 - 19*c**5/15 + 43*c**4/9 + 13*c**3/3 - 21*c**2 - 732*c. What is d in t(d) = 0?
-21, -3, -1, 1
Let f(j) be the first derivative of -j**3/3 + 71*j**2 + 143*j + 1589. Factor f(v).
-(v - 143)*(v + 1)
Let m(u) be the second derivative of u**6/30 - u**5/4 - 7*u**4/6 - 3*u**3/2 - 3*u. Let r(j) = j**3 + j**2 + j. Let s(n) = 2*m(n) + 18*r(n). Factor s(k).
2*k**2*(k - 1)*(k + 5)
Let j(b) = -15*b**3 - 795*b**2 - 5*b + 15. Let y(i) = -20*i**3 - 1193*i**2 - 7*i + 21. Let s(x) = 7*j(x) - 5*y(x). Factor s(l).
-5*l**2*(l - 80)
Let k(t) be the third derivative of -t**5/240 - 41*t**4/32 + 63*t**3/4 + 1979*t**2. Factor k(m).
-(m - 3)*(m + 126)/4
Let t(z) = z**3 + 19*z**2 - 19*z + 23. Let j be t(-20). Factor 158*a**j - 4*a**5 + 225*a**3 - 86*a**3 + 243*a**2 + 7*a**5 + 57*a**4.
3*a**2*(a + 1)*(a + 9)**2
Let f = -332013/85 - -66508/17. Solve -1/5*c**3 + 17/5*c**2 - f*c + 3 = 0 for c.
1, 15
Factor -19511200 - 4/5*v**3 - 696*v**2 - 201840*v.
-4*(v + 290)**3/5
Factor -36*x + 874*x + 9*x**2 - 12*x**2 + 131*x.
-3*x*(x - 323)
Suppose -56 + 88 = 4*y - 5*d, 0 = 4*y + d - 56. Suppose 24*j - y*j**2 - 16*j**2 + 42*j**2 - 16*j**2 + 15*j = 0. What is j?
0, 13
Factor 21374 + 20766 - 64333 - 5*r**2 + 135*r + 21293.
-5*(r - 15)*(r - 12)
Let v(y) be the third derivative of 0 + y + 1/20*y**5 + 9/2*y**3 - 12*y**2 + 3/4*y**4. Let v(k) = 0. Calculate k.
-3
Let s(t) be the first derivative of t**2 - 28 - 65 + 22 + 4*t**3 + 3*t**2. Factor s(a).
4*a*(3*a + 2)
Let q be (-12 - 522/(-42))*7. Let a = 2 + 0. Factor l**4 + 6*l + 2*l**3 - l**a - 8*l**2 + 5*l - 4 - l**q.
(l - 1)**3*(l + 4)
Suppose r + 154 = 3*h, 0 = 4*h - r + 2*r - 210. Suppose 88 = h*x - 8*x. Determine u so that 0*u + 1/9*u**x - 1/9 = 0.
-1, 1
Suppose 5*r + 506 = 7*r + 36*q, 0 = -q + 14. Factor 5/4*w + 1/4*w**2 + r.
(w + 1)*(w + 4)/4
Let u(j) be the second derivative of -j**9/26460 + j**8/5880 + j**7/4410 - j**6/630 - 5*j**4 + j + 3. Let h(a) be the third derivative of u(a). Factor h(q).
-4*q*(q - 2)*(q - 1)*(q + 1)/7
Let a(l) be the second derivative of l**7/294 - l**6/15 + 5*l**5/28 - l**4/7 + 47*l - 2. Factor a(x).
x**2*(x - 12)*(x - 1)**2/7
Let w(f) be the third derivative of f**8/784 + 9*f**7/245 + f**6/20 - 2*f**5/5 - 87*f**4/56 - 17*f**3/7 - 9*f**2 + 107. Let w(t) = 0. What is t?
-17, -1, 2
Let w(x) = 42*x - 211. Let p be w(25). Let u = 842 - p. Let -u*v**4 + 0*v**2 + 0*v + 3/4*v**5 + 0 + 3*v**3 = 0. What is v?
0, 2
Let d = 118 - 100. Factor 42*x**3 + 3*x**4 - 21*x**3 - 3*x**5 - d*x**3 - 3*x**2.
-3*x**2*(x - 1)**2*(x + 1)
Let c be (-35)/(-7) + (-2)/1216*2283. Let w = c - -3/608. Factor -2*z**3 - 1/4*z**5 - w*z**4 + 0*z - z**2 + 0.
-z**2*(z + 1)*(z + 2)**2/4
Let u(s) be the second derivative of 23*s**3 - s + 63 + 1587/2*s**2 + 1/4*s**4. Determine f so that u(f) = 0.
-23
Let b = -60 - -103. Let j = 70 - b. Determine u, given that -12 - j - 2*u**2 + 24*u - 33 = 0.
6
Let y(i) be the second derivative of 0*i**3 + 0*i**2 + 1/4*i**4 - 1/60*i**6 - 20*i + 1/40*i**5 - 2. Factor y(z).
-z**2*(z - 3)*(z + 2)/2
Let v = -61 - -35. Let p be (-264)/v - (-4)/(-26). Factor 6*s**3 + 18 - 10 - 46*s + 40*s + 2*s**4 - p*s**2.
2*(s - 1)**2*(s + 1)*(s + 4)
Let w = -238868 + 238872. Find n, given that 57/7 + 54/7*n - 60/7*n**2 + 3/7*n**w - 54/7*n**3 = 0.
-1, 1, 19
Factor -560/3*v**2 + 23/3*v**3 + 0 + 1/3*v**4 + 832*v.
v*(v - 8)**2*(v + 39)/3
Let b(s) be the second derivative of s**5/16 + 5*s**4/6 + 55*s**3/24 - 25*s**2/2 + s - 97. Solve b(w) = 0 for w.
-5, -4, 1
Let b = -662 + 188. Let k = b + 477. Factor 0 + 1/2*t**k + t + 3/2*t**2.
t*(t + 1)*(t + 2)/2
Suppose 8*l - 103 = 49. Factor -2*f + l + 2*f**2 - 6*f + 21 - 32.
2*(f - 2)**2
Let 42250 + 260*h + 2/5*h**2 = 0. Calculate h.
-325
Let g(r) be the first derivative of -4*r**3/3 - 410*r**2 - 1624*r - 962. Suppose g(a) = 0. Calculate a.
-203, -2
Let g(n) be the first derivative of 902289*n**5/5 - 1925781*n**4/4 + 82611*n**3 - 10935*n**2/2 + 162*n + 2425. Suppose g(v) = 0. Calculate v.
3/67, 2
Let l = 411590 - 411586. Find r such that 0 - 2/3*r**4 - l*r - 2/9*r**5 + 14/9*r**3 + 10/3*r**2 = 0.
-3, 0, 1, 2
Solve 12*r - 2*r**2 - 5*r**2 + 8*r**2 - 7*r**2 + 2*r**2 + 112 = 0 for r.
-4, 7
Factor -1/4*o**3 + 1/4*o + 13/2*o**2 - 13/2.
-(o - 26)*(o - 1)*(o + 1)/4
Suppose 2*g + 611 = -709. Let x be ((g/(-121))/(-15))/(4/(-22)). Factor 0 + 1/3*y**3 - 1/3*y - 1/6*y**4 + 1/6*y**x.
-y*(y - 2)*(y - 1)*(y + 1)/6
Let h = 3/34436 - -137735/103308. Solve 8/3*u**3 + h*u + 6*u**2 + 0 = 0 for u.
-2, -1/4, 0
Let u(a) = -11*a - 251. Let m be u(-23). Let o(i) be the first derivative of 7 + 2/3*i**3 - 1/2*i**4 + 0*i**m + 0*i. Suppose o(l) = 0. What is l?
0, 1
Let h(a) = a**4 + 37*a**3 + 17*a**2 - 133*a + 92. Let d(k) = -k**4 + 2*k**3 + k**2 + 4*k + 1. Let w(b) = -2*d(b) + h(b). Suppose w(z) = 0. Calculate z.
-10, -3, 1
Determine i so that -422*i**3 - 1200 + 14/3*i**5 + 4180*i + 22*i**4 + 566/3*i**2 = 0.
-12, -3, 2/7, 5
Factor -6*h**2 - 22255*h + 7*h**2 + 22915*h.
h*(h + 660)
Let c(p) be the first derivative of -p**7/168 - 11*p**6/144 - 5*p**5/48 - 58*p**3/3 - 76. Let l(k) be the third derivative of c(k). Factor l(x).
-5*x*(x + 5)*(2*x + 1)/2
Suppose 0 = 3*a + 13 + 32. Let t(l) = l**2 + 17*l + 32. Let v be t(a). Solve 4*n**v - n**4 - 3*n**5 + 11*n**5 + 4*n**5 - 3*n**4 - 12*n**3 = 0 for n.
-1, 0, 1/3, 1
Factor 626*x + 780 - 537*x + 1468*x - 3*x**3 + 774*x**2.
-3*(x - 260)*(x + 1)**2
Let c(g) be the second derivative of 3/80*g**5 + 0 + 0*g**2 + 11/8*g**4 - 46*g + 121/8*g**3. Find q, given that c(q) = 0.
-11, 0
Let r(s) = 8*s - 110. Let h be r(14). Let f(l) be the second derivative of -9/4*l**h + 0 - 1/24*l**4 - 5*l + 1/2*l**3. Factor f(c).
-(c - 3)**2/2
Let d(i) = 4*i**4 - 32*i**3 - 64*i**2 - 30*i - 2. Let v(x) = -3*x**4 - 2*x**3 - x**2 - x + 1. Let h(g) = -d(g) - 2*v(g). Determine s, given that h(s) = 0.
-16, -1, 0
Factor -21*l**3 - 10*l**2 - 205*l - 330 - 4*l**2 + 134*l**2 - l**3 + 17*l**3.
-5*(l - 22)*(l - 3)*(l + 1)
Suppose 1010*o - 1013*o + 4*z + 50 = 0, -4*z - 46 = -o. Factor -3/4*m**o + 21/4*m - 9.
-3*(m - 4)*(m - 3)/4
Factor 8824/17*t + 2200/17*t**2 + 8832/17 - 2/17*t**3.
-2*(t - 1104)*(t + 2)**2/17
Let p(h) be the first derivative of h**5/130 + h**4/78 - 2*h**3/13 - 52*h + 19. Let a(i) be the first derivative of p(i). Solve a(f) = 0 for f.
-3, 0, 2
Let q = 18 + -38. Let z be (-124)/q - (-1)/(-5). Factor 0 + 8 + 12*o - 12*o + 2*o**3 - z*o**2.
2*(o - 2)**2*(o + 1)
Factor -2/11*k**5 + 14/11*k**4 - 32/11*