t - 11292*t**2 - 2179*t**3 = 0.
-170, -3, -1
Let c = 62209/2 - 31103. Let u(d) be the first derivative of -d**3 + 3/5*d**5 + 0*d + 18 + c*d**4 - 3*d**2. Let u(i) = 0. What is i?
-2, -1, 0, 1
Suppose -5*x + 73*d = 74*d - 154, 3*x + d - 90 = 0. Let s(l) be the second derivative of -x*l - 1/3*l**3 + 1/6*l**4 + 0 + 1/4*l**2. Factor s(v).
(2*v - 1)**2/2
Let u(j) = -2*j**3 - 70 + 5*j**3 - 2*j - 20*j**2 + 128*j**2. Let t be u(-36). Factor -8/5 - 8/5*n - 2/5*n**t.
-2*(n + 2)**2/5
Let o(l) = -l**2 + 141 - 10*l**2 + 4*l**3 - 110*l + 243 - 6*l**2. Let a(g) = -2*g**3 + 8*g**2 + 56*g - 192. Let t(x) = -9*a(x) - 4*o(x). Factor t(z).
2*(z - 4)**2*(z + 6)
Let v(k) = 3*k**2 - 4*k - 7. Suppose -8 - 10 = -3*s. Let b be v(s). Solve 74*x**2 - 6 + 10*x - x - b*x**2 = 0.
1, 2
Let n(q) be the second derivative of 0 + 0*q**4 + 1/168*q**7 + 0*q**3 + 0*q**2 + 8*q + 1/120*q**6 + 0*q**5. Factor n(i).
i**4*(i + 1)/4
Let f(q) be the third derivative of -1/360*q**5 + 0*q + 1/12*q**3 - 8*q**2 - 1/72*q**4 - 4. Factor f(p).
-(p - 1)*(p + 3)/6
Let o(c) = 49*c + 1037. Let t be o(-21). Let l(n) be the first derivative of -1/3*n**3 + t - 2/3*n**2 + 1/12*n**4 + 0*n. Find m such that l(m) = 0.
-1, 0, 4
Let o = 68395 - 68392. Suppose 0 - 2/5*b + 2/5*b**o + 0*b**2 = 0. Calculate b.
-1, 0, 1
Let h(w) be the first derivative of 1/18*w**4 - 2/27*w**3 - 43 - 2/9*w**2 + 0*w. Factor h(m).
2*m*(m - 2)*(m + 1)/9
Let j be 6/10*4725/3780. Suppose -j*f**2 + 0 + 9/8*f + 1/8*f**3 = 0. Calculate f.
0, 3
Suppose -79 = 3*b - 88. Let x(l) be the second derivative of -1/3*l**6 + 5/6*l**4 + 0*l**5 + 0 + 5/42*l**7 + 0*l**2 - 5/6*l**b + 7*l. Factor x(q).
5*q*(q - 1)**3*(q + 1)
Find v such that 124*v**3 + 125*v**5 - 113 - 19*v - 81*v + 400*v**4 - 170*v**2 + 153 + 121*v**3 = 0.
-2, -1, 2/5
Let u(d) be the second derivative of -4*d**3 - 1/4*d**4 - 18*d**2 + 3*d - 23. Factor u(f).
-3*(f + 2)*(f + 6)
Let x = -389912/5 - -77990. What is v in x + 2/5*v**2 + 8*v = 0?
-19, -1
Let z be (-10)/4*(-2)/5. Let b be 5 - ((-7 - -8) + 1 + z). Factor 4/3*l + 2/9*l**b + 10/9.
2*(l + 1)*(l + 5)/9
Let h = 35 - 29. Let z(k) = -2*k + 15. Let n be z(h). What is b in -4*b**n + 45*b**2 + 23*b + 6*b - 6*b**3 - 45*b**4 - 19*b = 0?
-1, -2/9, 0, 1
Let m be (35/105)/(2/12). Factor -13*z - 4*z**5 - 4*z**m + 12*z**3 + 13*z - 4*z**2.
-4*z**2*(z - 1)**2*(z + 2)
Factor -2/7*z**3 + 20 - 20/7*z**2 - 22/7*z.
-2*(z - 2)*(z + 5)*(z + 7)/7
Let q(j) be the first derivative of -1/3*j**6 + 0*j + 4*j**3 + 0*j**2 - 11/2*j**4 + 12/5*j**5 - 5. Suppose q(z) = 0. Calculate z.
0, 1, 2, 3
Let p = -15224467/15 - -1014965. Suppose 26/15*g**2 - 2/3*g**3 - p - 8/15*g = 0. What is g?
-2/5, 1, 2
Let v(a) = -14225*a + 42675. Let d be v(3). Factor -4/5*u**2 + 7/5*u**3 - 12/5*u + d - 1/5*u**4.
-u*(u - 6)*(u - 2)*(u + 1)/5
Let z(k) = 4212005*k**3 + 25960*k**2 + 35*k - 5. Let n(s) = 2106003*s**3 + 12980*s**2 + 18*s - 2. Let g(j) = -5*n(j) + 2*z(j). Factor g(v).
-5*v*(649*v + 2)**2
Determine c, given that 448/3*c**2 - 4/3*c**3 - 904/3 + 460/3*c = 0.
-2, 1, 113
Let f(a) be the first derivative of -69 - 3/4*a + 3/4*a**2 - 1/4*a**3. Factor f(s).
-3*(s - 1)**2/4
Let o = 61939 + -433353/7. Factor -5826/7*g**2 - 2/7*g**4 - o*g**3 + 1760*g - 896.
-2*(g - 1)**2*(g + 56)**2/7
Let h(o) = -133*o - 21. Let f be h(-2). Let j be ((-2)/(-5))/(f/(-50) + 5). Solve 0*m - 2/5 + 16/5*m**3 + 12/5*m**2 + 6/5*m**j = 0 for m.
-1, 1/3
Find u such that -143/4*u + 4*u**3 + 10*u**2 - 363/4 = 0.
-11/4, 3
Factor -5/2*k**2 - 5959840 - 7720*k.
-5*(k + 1544)**2/2
Let w = -416806 + 1250422/3. Factor -w*t**3 + 13/3*t - 8/3 - 1/2*t**2 + 1/6*t**4.
(t - 8)*(t - 1)**2*(t + 2)/6
Factor -560*c + 745*c**2 - 4*c**4 - 1454*c**2 + 881*c**2 + 8*c**3.
-4*c*(c - 5)*(c - 4)*(c + 7)
Let u = -399 - -39. Let n be (-2 - 30/(-9)) + 264/u. What is s in 0 + 1/5*s**5 + 1/5*s**4 - 2/5*s - n*s**3 - s**2 = 0?
-1, 0, 2
Suppose 118*m + 96 = -323 + 773. Determine a so that -54 - 343/2*a**5 + 1253*a**m + 837/2*a - 1152*a**2 - 294*a**4 = 0.
-4, 3/7, 1
Let r(j) be the third derivative of -j**8/420 + 17*j**7/175 + j**6/150 - 17*j**5/50 - 1096*j**2 - 3. Let r(w) = 0. Calculate w.
-1, 0, 1, 51/2
Let r = -177 - -102. Let d = r + 76. Let a(s) = s**3 + s**2 + 1. Let i(c) = -4*c**2 - 8*c - 3. Let o(f) = d*a(f) - i(f). Factor o(b).
(b + 1)*(b + 2)**2
Let n = -234 - -223. Let s(d) = -31*d**2 + 38*d. Let v(y) = -11*y**2 + 13*y. Let o(g) = n*v(g) + 4*s(g). Determine h so that o(h) = 0.
0, 3
Let o be (2613/28743)/(28/1584). Factor -o*k**3 + 0 + 4/7*k**4 + 0*k - 40/7*k**2.
4*k**2*(k - 10)*(k + 1)/7
Let t(r) be the first derivative of r**4 + 112*r**3/3 - 182*r**2 + 248*r + 6650. Factor t(f).
4*(f - 2)*(f - 1)*(f + 31)
Let m be 23 + (-43)/((-1978)/(-1035)) - (1 + -2). Solve -3/2*z**3 + 0 - m*z**2 + 0*z = 0 for z.
-1, 0
Solve 4*u - 27*u**3 - 12*u**5 - 64*u**5 + 69*u**5 + 26*u**4 + 4*u**2 = 0.
-2/7, 0, 1, 2
Let i(p) be the third derivative of 49*p**6/30 + 133*p**5/3 + 1276*p**4/3 + 3872*p**3/3 + 6118*p**2. Determine o, given that i(o) = 0.
-44/7, -1
Let n be 5/(-80) + (-8463)/(-496). Let r(m) be the first derivative of 2*m + 5*m**2 + 8/3*m**3 - n. Find x, given that r(x) = 0.
-1, -1/4
Let a(s) = 2*s**5 + 86*s**4 + 960*s**3 + 3716*s**2 + 2748*s - 7498. Let z(c) = c**4 - 8*c**2 + c - 1. Let m(g) = a(g) + 2*z(g). Factor m(j).
2*(j - 1)*(j + 5)**3*(j + 30)
Suppose -356 + 356 = 719*s. Find u such that 6*u**2 + 0 + s*u + 9/4*u**4 - 21/2*u**3 = 0.
0, 2/3, 4
Let i(k) be the first derivative of -k**2/2 + 23*k + 18. Let f be i(20). Factor 4*u**4 - 1 + 4*u**2 + 8*u - 7 - 19*u + 12*u**f - u.
4*(u - 1)*(u + 1)**2*(u + 2)
Let m(b) = -2*b + 19. Let d(f) = -f + 2. Let p be d(-6). Let l be m(p). Let 7*r - 3*r - l*r - 2*r**3 + r = 0. Calculate r.
-1, 0, 1
Let y(n) be the third derivative of -n**5/120 + 2027*n**4/48 - 1013*n**3/6 - 77*n**2 + 15. Factor y(s).
-(s - 2026)*(s - 1)/2
Let c = -29722 + 564732/19. Suppose c - 12/19*u - 2/19*u**2 = 0. Calculate u.
-7, 1
Let p(d) be the third derivative of -2*d**2 + 1/12*d**5 + 85/6*d**3 + 0*d - 15/4*d**4 - 41. Find o such that p(o) = 0.
1, 17
Let s be ((-6)/45 + 0)/(308/(-462)). Let k(c) be the first derivative of 1/2*c**2 + 0*c + 5 - 1/4*c**4 - 1/3*c**3 + s*c**5. Find d such that k(d) = 0.
-1, 0, 1
Suppose 2*c - 22*c**3 + 88*c**3 + 2*c + 2*c + 44*c**2 + 12*c**3 = 0. Calculate c.
-1/3, -3/13, 0
Let c(y) be the third derivative of 0*y**3 + 1/108*y**4 - y**2 + 68 + 0*y**5 + 0*y - 1/540*y**6. Solve c(u) = 0 for u.
-1, 0, 1
Find l such that 58/5*l**2 - 86/5*l + 22/5 + 6/5*l**3 = 0.
-11, 1/3, 1
Let o(r) be the first derivative of -r**4/90 + 16*r**3/45 + 67*r + 45. Let i(x) be the first derivative of o(x). Solve i(m) = 0.
0, 16
Suppose -2*s = 17*z - 15*z - 138, 351 = 5*z + 3*s. Factor 2*d**4 - 3*d**3 - d**3 + z + 120*d + 24*d**3 + 74*d**2.
2*(d + 2)**2*(d + 3)**2
Let n(u) be the second derivative of -u**6/45 - 14*u**5/45 - 3*u**4/2 - 8*u**3/3 - 16*u**2/9 + 331*u - 3. Let n(k) = 0. Calculate k.
-4, -1, -1/3
Determine j so that 1/4*j**3 + 11845/4*j + 39675/2 - 56*j**2 = 0.
-6, 115
Let p be (204/119)/(1230/287). Factor 0*n**2 + p*n**4 + 0 + 6/5*n**3 + 0*n.
2*n**3*(n + 3)/5
Let l = -99849 + 99849. Factor -8/9*i**2 + 0*i + 2/9*i**5 + 16/9*i**3 - 10/9*i**4 + l.
2*i**2*(i - 2)**2*(i - 1)/9
Let m(t) = -3*t**4 + 69*t**3 - 325*t**2 + 620*t - 419. Let z(x) = -2*x**4 + x**3 - 1. Let f(c) = -m(c) - z(c). Factor f(y).
5*(y - 7)*(y - 3)*(y - 2)**2
Let o(c) be the second derivative of 0 + 1/4*c**4 + 3/2*c**3 - 24*c + 3*c**2. Factor o(q).
3*(q + 1)*(q + 2)
Let n(k) be the first derivative of -k**4/12 + 283*k**3/9 - 560*k**2/3 + 372*k - 6202. Factor n(y).
-(y - 279)*(y - 2)**2/3
Let f(o) = -18*o**2 - 225*o + 1560. Let j(x) = -83*x**2 - 1123*x + 7800. Let c(m) = 14*f(m) - 3*j(m). Factor c(n).
-3*(n - 65)*(n - 8)
Let k = -40 - -44. Suppose 11*u**5 - 26*u**5 - 783*u**3 + 211*u**3 - 676*u**2 + 100*u**k + 11*u**5 = 0. What is u?
-1, 0, 13
Let i(k) = 16*k**5 + 60*k**4 - 6*k**3 - 56*k**2 - 8*k - 2. Let f(q) = -q**5 + q**4 + q**2 + 2*q - 1. Let v(r) = -2*f(r) + i(r). Solve v(j) = 0 for j.
-3, -1, -2/9, 0, 1
Let d be 958437/(-1199) + (-4)/(-11). Let k be d/(-85) - 1*(-4 - -3). Suppose 4*p**4 + 0 - 4/5*p**2 - 24/5*p + k*p**3 - 12/5*p**5 = 0. What is p?
-1, 0, 2/3, 3
Factor -2*n**2 - 3 + 3*n**3 - 1/2*n**5 + n**4 - 13/2*n.
-(n - 3)*(n - 2)*(n + 1)**3/2
Let r(