3*p**3 - 7*p**2 + 5*p. Let n = 98 + -99. Let o(m) = m**3 + m**2 - m. Let l = 6 + -5. Let s(f) = l*b(f) + n*o(f). Suppose s(g) = 0. Calculate g.
0, 1, 3
Factor 1/2*t**2 + 2332*t + 2719112.
(t + 2332)**2/2
Let l(h) be the third derivative of h**6/40 + 17*h**5/5 + 1085*h**4/8 - 1225*h**3 - 304*h**2. Find s such that l(s) = 0.
-35, 2
Factor 176/3*i - 2/9*i**2 - 526/9.
-2*(i - 263)*(i - 1)/9
Let x(t) = 17*t**3 - 57*t**2 - 333*t - 137. Let c(r) = 2*r**3 + 12*r**2 + 1. Let n(l) = 2*c(l) + x(l). Factor n(z).
3*(z - 5)*(z + 3)*(7*z + 3)
Suppose a + 54 - 34 - 32 = -5*a. Solve 4/3*y + a*y**2 - 5/3*y**3 - 8/3 + 1/3*y**4 = 0 for y.
-1, 2
Suppose 65*y - 60*y - 20 = 0. Factor -24*k**3 + 5*k**4 - 12*k**3 - 6*k**y - 5*k**3 + 2744 - 546*k**2 - 2156*k.
-(k - 1)*(k + 14)**3
Let x(f) = -7*f**2 + 1305*f - 141268. Let t(y) = 4*y**2 - 3*y + 1. Let u(d) = -t(d) - x(d). Solve u(p) = 0 for p.
217
Let t(o) be the third derivative of -o**5/360 - 53*o**4/36 + 71*o**3/12 - 9*o**2 - 12*o. Find b such that t(b) = 0.
-213, 1
Let -141*v**2 - 103*v**2 - 1920*v - 190 - 289 + 735 = 0. Calculate v.
-8, 8/61
Suppose 107 = 25*d - 18. Let t(j) be the second derivative of -9/20*j**d - 1/10*j**6 + 0*j**4 + 0*j**2 + 0 + j + 0*j**3. Determine r, given that t(r) = 0.
-3, 0
Suppose 0 = c + 3*c - 2*w + 54, 3*c + 3*w + 45 = 0. Let a = -10 - c. Factor 312*r**2 + 12*r**a + 26 - 84*r**2 - 128*r**3 + 6 - 152*r + 8*r**4.
4*(r - 4)*(r - 1)**2*(5*r - 2)
Determine o so that 32 + 100/3*o - 196/3*o**2 = 0.
-24/49, 1
Suppose -3937547*y = -3937633*y + 344. Let 0 - 10*a**2 - 14/3*a**3 - 6*a - 2/3*a**y = 0. Calculate a.
-3, -1, 0
Let z(g) = 2*g**2 - 1. Let r(l) = 492*l**3 + 18 + 16 - 24*l**2 - 8*l - 496*l**3. Let o(m) = r(m) + 2*z(m). Solve o(p) = 0.
-4, -2, 1
Let l(f) be the second derivative of f**6/15 + 43*f**5/10 + 83*f**4/6 + 41*f**3/3 - 1069*f. Factor l(k).
2*k*(k + 1)**2*(k + 41)
Let b(a) be the second derivative of -a**7/28 - 11*a**6/60 + 163*a**5/40 + 127*a**4/24 - 32*a**3 + 27*a**2 - 6260*a. Find x such that b(x) = 0.
-9, -2, 1/3, 1, 6
What is n in 10*n**2 - 22*n + 2/3*n**3 + 34/3 = 0?
-17, 1
Let o(a) be the first derivative of -8*a**2 - 2/3*a**3 + 240 + 18*a. Factor o(r).
-2*(r - 1)*(r + 9)
Find d such that -2580*d + 4200 - 15/2*d**3 - 579/2*d**2 = 0.
-20, 7/5
Let z = 8053/42 + -446/21. Let s = -163 + z. Find b, given that -5 - s*b**2 - 25/2*b = 0.
-1, -2/3
Let c(b) be the first derivative of 20*b**2 - 5/3*b**3 - 80*b + 57. Determine f, given that c(f) = 0.
4
Suppose 0 = -13*f - 0*f + 78. Let j be 8 - f/3 - (4 - -2). Find m such that 1/2 + j*m - 1/2*m**2 = 0.
-1, 1
Let g(a) be the first derivative of 88 - 9/35*a**5 + 3/14*a**2 - 3/28*a**4 + 0*a + 3/7*a**3. Let g(d) = 0. What is d?
-1, -1/3, 0, 1
Let k(y) be the third derivative of y**6/840 + 37*y**5/210 + 1025*y**4/168 - 6724*y**3/21 + 3549*y**2. Determine z so that k(z) = 0.
-41, 8
Let q(i) be the second derivative of 126*i - 64/3*i**3 + 0*i**2 + 0*i**4 + 0 + 22/5*i**5 + 2/21*i**7 + 6/5*i**6. Factor q(x).
4*x*(x - 1)*(x + 2)*(x + 4)**2
Suppose -28 + 416/3*v + 4*v**4 - 568/3*v**2 + 224/3*v**3 = 0. What is v?
-21, 1/3, 1
Let s(r) = -9*r**2 - 29*r + 143. Let m be s(7). Let w = m - -3509/7. Suppose 4/7*p**2 + w*p + 0 = 0. What is p?
-1/2, 0
Let w(z) be the third derivative of 0 + 3/14*z**4 + 42*z**2 - 1/280*z**6 + 0*z + 0*z**3 - 11/140*z**5. Let w(n) = 0. Calculate n.
-12, 0, 1
Let h(g) = -3*g**2 - 136*g - 5. Let i(w) = -4*w**2 - 204*w - 8. Let f = -90 - -98. Let p(o) = f*h(o) - 5*i(o). What is n in p(n) = 0?
-17, 0
Let u(h) = -142*h - 140. Let b be (-2 + -2 - -1)*(-33)/(-99). Let n be u(b). Factor -4/5*x**3 + 8/5 - 1/5*x**4 + 14/5*x + 3/5*x**n.
-(x - 2)*(x + 1)**2*(x + 4)/5
Let n(c) be the second derivative of c**5/5 - 4*c**4 + 82*c**3/3 - 84*c**2 - 877*c. Factor n(t).
4*(t - 7)*(t - 3)*(t - 2)
Let a(j) be the first derivative of 63 - 16/3*j**3 - 1/2*j**6 - 2*j**2 - 14/5*j**5 + 0*j - 23/4*j**4. Let a(w) = 0. Calculate w.
-2, -1, -2/3, 0
Let g be (-3)/(-2)*14/21. Let v(l) = 6 - 6 + l + l**2. Let b(r) = -7*r**2 - 28*r - 12. Let j(h) = g*v(h) + b(h). Determine o, given that j(o) = 0.
-4, -1/2
Factor -2187/7*h + 1/7*h**4 - 8748/7 + 15/7*h**3 - 81/7*h**2.
(h - 12)*(h + 9)**3/7
Let c = 14779/59532 + 26/14883. Factor 1/4*o - c*o**2 + 15/2.
-(o - 6)*(o + 5)/4
Let f = 108990 + -108990. Determine x so that 1/3*x**2 - 7/3*x + f = 0.
0, 7
Suppose -w - 61 = 5*k + 651, 3*w - 581 = 4*k. Let v = -425/3 - k. Factor v*m**2 + 14/3*m + 8/3 - 2/3*m**3.
-2*(m - 4)*(m + 1)**2/3
Let d be -1 - (-23)/6 - 221/128622*-97. Solve 88/9*a**d - 4/9*a**4 - 164/9*a**2 + 80/9*a + 0 = 0.
0, 1, 20
Suppose -7909 + 7909 - r**3 - r**3 + 142*r**2 = 0. What is r?
0, 71
Let g(v) = -36*v**2 - 2553*v - 546981. Let h(j) = 97*j**2 + 7662*j + 1640945. Let w(t) = -8*g(t) - 3*h(t). Find q, given that w(q) = 0.
-427
Factor -2514/5*y**2 + 2/5*y**3 - 147120118/5 + 1053366/5*y.
2*(y - 419)**3/5
Let s(w) be the third derivative of w**6/1500 + 9*w**5/125 + 103*w**4/60 + 154*w**3/25 + 6104*w**2. Solve s(o) = 0 for o.
-42, -11, -1
Let k be -32 + 6048/104 - 26. Determine f so that -22/13*f - 24/13 + k*f**2 = 0.
-1, 12
Factor 8393 + 9*y**2 - 8393 - 29*y**2 - 77*y - 127*y.
-4*y*(5*y + 51)
Let 25/2*y**2 + 2*y**5 + 28*y - 7/2*y**4 + 6 - 15*y**3 = 0. Calculate y.
-2, -1, -1/4, 2, 3
Suppose 0 = 10*i - 13*i - z + 5, 0 = -3*z - 3. Suppose 17*b - 9*b - 42*b**4 - 43 - 5 + 40*b**3 + 510*b**i + 12*b = 0. Calculate b.
-3, -1/3, 2/7, 4
Let i(g) be the first derivative of 3*g**5/5 - g**4 + 5*g**3/3 - g**2 - 52. Let l(b) = 2*b**4 - b. Let m(d) = i(d) - 2*l(d). Suppose m(w) = 0. Calculate w.
-5, 0, 1
Factor -3*i**2 - 368/5 + 168/5*i - 1/5*i**3.
-(i - 4)**2*(i + 23)/5
Let w(k) be the third derivative of k**5/15 + 119*k**4/3 + 470*k**3 - 2*k**2 + 8*k - 11. Factor w(z).
4*(z + 3)*(z + 235)
Suppose g + 2 = 3*d, -30 + 18 = 4*d - 5*g. Let c(p) be the first derivative of 5/12*p**3 - 5/8*p**d + 0*p - 5. Solve c(u) = 0 for u.
0, 1
Let v(w) be the third derivative of -5*w**8/168 - 13*w**7/42 + w**6/12 + 13*w**5/12 + 1149*w**2. Solve v(m) = 0 for m.
-13/2, -1, 0, 1
Let d(l) = -11*l**2 - 45*l - 480. Let s(c) = -3*c**2 - 12*c - 160. Let k(t) = 6*d(t) - 21*s(t). Factor k(g).
-3*(g - 10)*(g + 16)
Let t(u) be the second derivative of -u**4/6 + 130*u**3/7 + 16*u**2 - 405*u - 2. Suppose t(j) = 0. What is j?
-2/7, 56
Let g(w) = -404070*w**2 + 6609*w - 12. Let f(u) = -404069*u**2 + 6608*u - 17. Let q(x) = 3*f(x) - 2*g(x). Determine l so that q(l) = 0.
3/367
Let w(l) be the second derivative of 3*l**5/80 - 9*l**4/4 + 329*l**3/8 - 441*l**2/4 - 3108*l. Factor w(j).
3*(j - 21)*(j - 14)*(j - 1)/4
Let c(a) be the third derivative of a**5/150 + a**4/30 + a**3/15 - 1126*a**2. Solve c(f) = 0 for f.
-1
Factor 219*f + 228*f + 5*f**2 - 611*f - 160 + 234*f.
5*(f - 2)*(f + 16)
Let w(m) be the second derivative of -3*m**6/10 - 621*m**5/20 - 1181*m**4/12 + 1669*m**3/6 - 201*m**2 + 3905*m. What is o in w(o) = 0?
-67, -3, 1/3, 2/3
Let p(l) be the third derivative of -6*l**7/35 + l**6 - 13*l**5/15 - 10*l**4/3 - 8*l**3/3 + 112*l**2. Factor p(z).
-4*(z - 2)**2*(3*z + 1)**2
Find f such that -624*f - 589*f**2 - 63*f**4 - 372*f**3 - 239*f**2 + 2029*f**5 - 2032*f**5 = 0.
-13, -4, -2, 0
What is p in 4/5*p**3 + 0 - 256/5*p**2 + 252/5*p = 0?
0, 1, 63
Let r(d) = -d**3 + 14*d**2 - 6*d + 86. Let g be r(14). Suppose -v + 6 = s - 0*s, 3*s - 8 = g*v. Factor -6/5 + 3/5*q + 3/5*q**v.
3*(q - 1)*(q + 2)/5
Let v be (-1248)/(-260)*1*5. Let i be 1 + (-3)/(v/46) + 5. What is o in -i*o**5 - 3/2*o**4 - 7/2*o**3 - 9/4*o - 1/2 - 4*o**2 = 0?
-2, -1
Suppose -1384 = -c - 4*w, 2*c + 2*w - 4*w - 2748 = 0. Factor c*u**4 - 687*u**4 - 32*u**3 - 687*u**4 - 34*u**2.
2*u**2*(u - 17)*(u + 1)
Let t(j) be the third derivative of 89*j**6/720 + 11*j**5/45 - j**4/144 + j**2 - 10*j + 1. Factor t(c).
c*(c + 1)*(89*c - 1)/6
Determine m so that 327/4*m**2 - 165/2*m**3 + 0 + 329/2*m + 1/4*m**4 = 0.
-1, 0, 2, 329
Let k = 7985033/5 + -1596997. Determine s, given that k*s - 2/5*s**3 + 6/5*s**2 - 32 = 0.
-5, 4
Let v(r) be the second derivative of -1/14*r**7 + 0*r**3 + 0*r**2 + 7/20*r**5 + 51*r + 0 + 1/6*r**4 + 1/15*r**6. Solve v(x) = 0.
-1, -1/3, 0, 2
Let h = 76022 + -76020. Find g, given that 2*g**3 + 16/7 - 24/7*g + 0*g**4 - 4/7*g**h - 2/7*g**5 = 0.
-2, 1, 2
Suppose 164*x**2 + 1692 + 102*x**3 - 32*x**3 - 4