 + 662/9*i = 0. Calculate i.
-2, -1, 111
Let h(o) = 65*o**3 + 155*o**2 - 935*o - 2480. Let v(n) = -n**4 + 62*n**3 + 156*n**2 - 934*n - 2479. Let u(q) = 4*h(q) - 5*v(q). Let u(j) = 0. Calculate j.
-3, 5, 11
Solve 37/5*r**3 + 132/5*r + 0 - 136/5*r**2 - 1/5*r**4 = 0.
0, 2, 33
Factor 2/3*z**2 + 476/3 - 478/3*z.
2*(z - 238)*(z - 1)/3
Let v(p) be the third derivative of -p**7/630 + p**6/40 + p**5/15 - 23*p**4/18 - 8*p**3 - 2*p**2 - 1025. What is d in v(d) = 0?
-2, 4, 9
Factor -14/3*f + 20 + 2/9*f**2.
2*(f - 15)*(f - 6)/9
Let p be -111 - 8931/(-78) - 1*-1. Let -3/4*h**3 + 6 + p*h**2 - 9*h = 0. What is h?
2
Let o(a) be the first derivative of -3/5*a**4 - 8/25*a**5 + 16/15*a**3 + 8/5*a**2 - 53 + 0*a + 2/15*a**6. Suppose o(b) = 0. What is b?
-1, 0, 2
Let v(l) be the third derivative of 29/15*l**5 + 0 + 1/6*l**4 + 15*l + 9*l**2 - 58/3*l**3 - 1/30*l**6. Let v(g) = 0. Calculate g.
-1, 1, 29
Let b(u) be the first derivative of -u**8/2520 - 11*u**7/630 - 121*u**6/540 + 16*u**3/3 + 55. Let l(q) be the third derivative of b(q). Factor l(d).
-2*d**2*(d + 11)**2/3
Let s(f) be the third derivative of -f**6/72 + f**5/24 + 5*f**4/12 + 6*f**3 - 68*f**2 + 1. Let l(g) be the first derivative of s(g). Factor l(i).
-5*(i - 2)*(i + 1)
Factor -47*x**5 - 2*x**2 - 8*x**4 - 33*x**3 + 40*x**5 + 44*x + 8*x**5 - 2*x**2.
x*(x - 11)*(x - 1)*(x + 2)**2
Let y be (912/95)/((-2)/(-5)). Find n, given that n - 9*n**2 + n - y + 11*n**2 - 4*n = 0.
-3, 4
Let o = 37031/70 - 2644/5. Let u(c) be the second derivative of -1/70*c**6 + 17*c - 3/14*c**4 - 2/7*c**3 - o*c**2 - 3/35*c**5 + 0. Factor u(q).
-3*(q + 1)**4/7
Let g = -25 + 33. Suppose 4*p = 4 + g. Determine i so that 6*i + 0*i**3 - 2 - 9*i**3 + 2 - p*i**4 + 3*i**5 + 3*i**2 = 0.
-1, 0, 1, 2
Let g(t) be the first derivative of t**3 - 27*t**2 - 120*t - 1334. Factor g(h).
3*(h - 20)*(h + 2)
Factor 0 + 1/3*o**3 + 0*o + 16/3*o**2.
o**2*(o + 16)/3
Suppose -3*h - 11 - 4 = -3*j, 3*j - 15 = -2*h. Let v(o) be the first derivative of h*o - 3/4*o**4 - 1 + o**3 + 3*o**2. Suppose v(n) = 0. Calculate n.
-1, 0, 2
Let h(m) = m**3 - m**2 + 2. Let f(p) = 3*p**3 + p**2 + 98*p - 284. Let i(v) = 2*f(v) - 10*h(v). Factor i(c).
-4*(c - 7)*(c - 3)*(c + 7)
Let r(j) be the first derivative of 15*j**4/8 + j**3/3 - 15*j**2 - 4*j + 2793. Find g such that r(g) = 0.
-2, -2/15, 2
Let n be (-6 + (-240)/(-45))*(-60)/8. Let v(i) be the first derivative of 0*i**2 + 0*i + 0*i**4 - 18 + 1/6*i**3 - 1/10*i**n. Factor v(p).
-p**2*(p - 1)*(p + 1)/2
Let s(b) be the second derivative of 4*b**4/33 + 122*b**3/33 - 63*b**2/11 + 2773*b. Factor s(w).
2*(2*w - 1)*(4*w + 63)/11
Determine m so that -5*m**4 + 4330*m**3 - 10*m + 85*m**2 - 4290*m**3 - 40 - 10*m**4 = 0.
-1, 2/3, 4
Let z(w) be the second derivative of w + 7/12*w**4 - 1/100*w**5 + 8 + 289/10*w**2 - 323/30*w**3. Find m, given that z(m) = 0.
1, 17
Let c(s) be the first derivative of -2*s**3/3 - 672*s**2 - 225792*s - 1473. Factor c(f).
-2*(f + 336)**2
Let j(u) be the second derivative of -u**5/4 - 15*u**4/2 - 115*u**3/2 - 130*u**2 - 5109*u. Factor j(y).
-5*(y + 1)*(y + 4)*(y + 13)
Let f be (4 - 14) + 1214/2. Let q = -594 + f. Factor -2/3 + 6*y**2 - 10/3*y**q - 2*y.
-2*(y - 1)**2*(5*y + 1)/3
Let l(t) be the third derivative of -2 - 47/54*t**4 - 1/270*t**5 + 0*t + 55*t**2 - 2209/27*t**3. Suppose l(r) = 0. What is r?
-47
Let d be 98/(-392)*9/(-6). Factor -5/8*m + 1/8 - d*m**3 + 7/8*m**2.
-(m - 1)**2*(3*m - 1)/8
Let m(s) = -s**2 - s + 1. Let d(t) = -5*t**2 - 100*t - 91. Let w = 234 - 237. Let l(n) = w*d(n) + 12*m(n). Factor l(r).
3*(r + 1)*(r + 95)
Suppose 19 = -374*g + 325 + 295 + 147. Factor -507/2 + 39*s - 3/2*s**g.
-3*(s - 13)**2/2
Let g(k) be the second derivative of 18 + 0*k**3 + 0*k**2 + 1/20*k**5 - 1/6*k**4 - 1/42*k**7 + 2*k + 1/15*k**6. Factor g(r).
-r**2*(r - 2)*(r - 1)*(r + 1)
Let q(f) = -17*f**5 - 14*f**4 + 217*f**3 - 766*f**2 + 1168*f - 648. Let i(x) = 4*x**5 - x**4 - x**3 - x. Let v(c) = -4*i(c) - q(c). Factor v(l).
(l - 3)*(l - 2)**3*(l + 27)
Factor 120*j - 111 + 16*j**2 - 29*j**2 + 17*j**2 + 815.
4*(j + 8)*(j + 22)
Factor -2/5*t**2 - 2244/5 + 134/5*t.
-2*(t - 34)*(t - 33)/5
Let u be (-2 + (-686)/(-245))*27. Factor -u + 72/5*w + 1/5*w**3 - 3*w**2.
(w - 6)**2*(w - 3)/5
Suppose 22/3*k + k**2 - 16/3 = 0. Calculate k.
-8, 2/3
Let o(x) be the first derivative of -2*x**6/3 - 988*x**5/5 - 491*x**4 - 980*x**3/3 + 278. Factor o(h).
-4*h**2*(h + 1)**2*(h + 245)
Let z(m) = -m**3 - 2*m**2 + 2. Let r(b) = b**4 - b**2 + b. Let v be (68/51)/((-3)/(-9)*-2). Let f(j) = v*r(j) - 2*z(j). Factor f(c).
-2*(c - 2)*(c - 1)*(c + 1)**2
Factor 397/4*p**2 + 1/4*p**3 + 9900*p + 9801.
(p + 1)*(p + 198)**2/4
Suppose 3*n - 9 - 5 = -z, 5*n - 20 = 0. Suppose 1269*c**z - 1320*c**2 + 30*c - 4 + 1 + 24*c**3 = 0. What is c?
1/8, 1
Let l(h) be the second derivative of 0 + 0*h**3 - 1/45*h**6 - 1/126*h**7 + 0*h**4 + 0*h**2 - 1/60*h**5 + 65*h. Factor l(f).
-f**3*(f + 1)**2/3
Let u be (13 - 3) + (744/(-27) - (-20 - -11)) - -9. Suppose -4/9*z**3 - u*z**2 - 4/3 + 20/9*z = 0. What is z?
-3, 1
Let c = 87 - 35. Solve u**3 - 72 - c*u**2 - 39*u**2 + 107*u**2 - 4*u**3 - u**3 + 12*u = 0.
-2, 3
Let b(q) = q**2 - 7*q + 8. Let a be b(6). Let c be ((-6)/8)/(-3) - ((-282)/24 + 12). Find u such that -5/2*u**3 + a*u + c - 4*u**2 = 0.
-2, 0, 2/5
Let i = 8 + -4. Find o such that 38*o**3 - 100*o - 40*o**i + 3*o**5 + 40*o**2 + 2*o**5 + 58*o**3 - o**5 = 0.
-1, 0, 1, 5
Let u(p) be the first derivative of -6*p**2 + 3/16*p**4 + 15/4*p**3 - 139 + 0*p. Factor u(i).
3*i*(i - 1)*(i + 16)/4
Let n(f) be the second derivative of 5*f**7/42 - 7*f**6/6 - 45*f**5 - 1060*f**4/3 - 3040*f**3/3 + 184*f + 5. Factor n(r).
5*r*(r - 19)*(r + 4)**3
Let t(c) be the third derivative of c**8/33600 - c**7/6300 + c**4/4 + c**3/3 + c**2. Let q(v) be the second derivative of t(v). What is n in q(n) = 0?
0, 2
Suppose -64 - 148 = -4*c. Let b = 55 - c. Factor 4*a**3 - 16*a - 10*a**3 + b*a**3 - 16*a**2.
-4*a*(a + 2)**2
Factor -76/3*f - 2/3*f**3 + 10*f**2 + 16.
-2*(f - 12)*(f - 2)*(f - 1)/3
Let b(m) be the first derivative of m**3 - 10 + 0*m**5 - 31*m - 9/8*m**2 - 3/8*m**4 + 1/40*m**6. Let t(l) be the first derivative of b(l). Factor t(i).
3*(i - 1)**3*(i + 3)/4
Let s(c) be the second derivative of -19/18*c**3 + 4 + 0*c**2 + 37/36*c**4 + 1/30*c**5 - 24*c. Factor s(j).
j*(j + 19)*(2*j - 1)/3
Let p(t) be the second derivative of t**6/70 + 3*t**5/140 - 5*t**4/28 + 3*t**3/14 + 550*t + 1. Determine a, given that p(a) = 0.
-3, 0, 1
Let y(o) = -50*o - 198. Let k be y(-4). Factor 30 + 7*z**2 - 36*z - 10 - 6*z**2 + 4*z**3 + 11*z**k.
4*(z - 1)**2*(z + 5)
Suppose -24*k = 7 - 55. Let c(n) = 11*n**3 + 98*n**2 + 587*n + 812. Let r(h) = 14*h**3 + 97*h**2 + 588*h + 813. Let y(j) = k*r(j) - 3*c(j). Factor y(l).
-5*(l + 2)*(l + 9)**2
Let a(i) be the second derivative of 8*i**4/63 + 3*i**3/7 - 43*i**2/21 + 192*i. Factor a(p).
2*(p - 1)*(16*p + 43)/21
Let a(x) be the third derivative of -x**5/12 + 1285*x**4/6 - 5135*x**3/6 - 79*x**2 + 14*x. Let a(k) = 0. Calculate k.
1, 1027
Suppose 17 = 4*z - 3*a, -3*a + 55 = 8*z - 3*z. Suppose -36*j = -z*j - 56. Factor 0*f**j + 8/9*f - 2/9*f**3 + 0.
-2*f*(f - 2)*(f + 2)/9
Let d = -2637 - -1371. Let b = d + 1268. Factor 0 - 2/19*h**b - 4/19*h.
-2*h*(h + 2)/19
Let w be 9/33 - ((-76)/(-171) + 415/(-495)). Let m(i) be the first derivative of 30*i**2 - w*i**3 + 27 - 450*i. Find c, given that m(c) = 0.
15
Let f(u) be the first derivative of u**4/14 + 26*u**3 + 1611*u**2/7 + 4806*u/7 - 6937. Factor f(a).
2*(a + 3)**2*(a + 267)/7
Let x(v) be the second derivative of -v**4/4 + 1027*v**3/6 + 343*v**2 - 3*v + 250. Let x(t) = 0. Calculate t.
-2/3, 343
Factor 345*z**2 - 128*z**3 - 232*z + 11*z**2 + 26*z**4 - 42*z**4 + 20*z**4.
4*z*(z - 29)*(z - 2)*(z - 1)
Suppose 11*v + 0*v - 33 = 0. Determine s so that -12*s**v + 30*s**4 + 3*s + 14*s**3 - 64*s**3 + 5*s = 0.
-1/3, 0, 2/5, 2
Let y(z) = 104*z**2 - 24*z - 8192. Let h(d) = -d**3 - 210*d**2 + 54*d + 16384. Let n(o) = -4*h(o) - 9*y(o). Determine a so that n(a) = 0.
-8, 16
Let c be (-32)/12 + ((-20)/360*354)/(-4). Factor 0*d + 0 + 3/4*d**5 + 9/4*d**3 + c*d**4 + 3/4*d**2.
3*d**2*(d + 1)**3/4
Determine u so that 1222257 - 11448*u + 1057299 - 627599 + 16*u**2 + 395804 = 0.
1431/4
Let 72 - 13*c**3 - 288*c - 11*c**3 - 1276*c**2 + 1118*c**2 + 6*c**3 = 0. Calculate c.
-6, 