45*h**3 - 63*h**2.
4*h**2*(h + 2)**2*(h + 29)
Solve 0*z**2 - 10*z - 217 + 97 + 5*z**2 = 0.
-4, 6
Let b(z) = -3*z + 148. Let h be b(48). Let m(l) be the first derivative of 1/6*l**3 + 1/16*l**h - 16 + 0*l**2 + 0*l. Find g, given that m(g) = 0.
-2, 0
Suppose 140*j - 3*l + 48 = 136*j, 0 = -4*j - 3*l + 48. Factor 4/9*k**3 + j + 92/9*k**2 - 200/9*k.
4*k*(k - 2)*(k + 25)/9
Find a such that -13225/2 + 115*a - 1/2*a**2 = 0.
115
Let b = 2727 + -2722. Let d(f) be the third derivative of -1/40*f**b + 0 + 0*f**3 + 18*f**2 - 1/80*f**6 + 0*f + 1/8*f**4. Factor d(g).
-3*g*(g - 1)*(g + 2)/2
Solve -15/7*m**2 - 11472/7*m + 2295/7 = 0 for m.
-765, 1/5
Let u(m) = -5*m**3 + 439*m**2 + 47*m - 433. Let g(b) = -14*b**3 + 1316*b**2 + 126*b - 1300. Let y(s) = 3*g(s) - 8*u(s). Find q such that y(q) = 0.
-1, 1, 218
Let c be 3 - ((-9)/12 - -3). Suppose -5018687*r - 10 = -5018692*r. Factor o - 1/4*o**r - c.
-(o - 3)*(o - 1)/4
Let b(l) be the second derivative of -l**7/42 + 2*l**6/15 + 9*l**5/5 + 37*l**4/6 + 61*l**3/6 + 9*l**2 - l - 22. Suppose b(f) = 0. What is f?
-2, -1, 9
Let w(m) be the third derivative of m**6/1020 - m**5/85 - 49*m**4/204 - 22*m**3/17 + 2*m**2 - 24*m - 3. Factor w(t).
2*(t - 11)*(t + 2)*(t + 3)/17
Let y(p) = -2*p**4 - p**3 + 2*p**2 + 2*p + 5. Let q(v) = -245*v**5 + 18101*v**4 + 20923*v**3 + 5994*v**2 - 6*v - 15. Let w(j) = -q(j) - 3*y(j). Factor w(s).
5*s**2*(s - 75)*(7*s + 4)**2
Let x(s) be the first derivative of -s**7/14 + 9*s**5/10 + 2*s**4 + 3*s**3/2 + 98*s - 33. Let z(i) be the first derivative of x(i). Solve z(t) = 0.
-1, 0, 3
Find s such that 415/6*s**4 - 92023/6*s**2 + 23496*s - 4359/2*s**3 - 6048 - 1/2*s**5 = 0.
-7, 1/3, 1, 72
Let r(s) be the third derivative of s**2 - 7 + 0*s - 1/48*s**5 - 15/32*s**4 - 5/3*s**3. Factor r(z).
-5*(z + 1)*(z + 8)/4
Let m(v) = -2*v**3 - 151*v**2 + 366*v + 9. Let n(q) = -2*q**3 - 144*q**2 + 368*q + 8. Let z(g) = -8*m(g) + 9*n(g). Factor z(h).
-2*h*(h - 4)*(h + 48)
Let m be -3*1 + (-42)/(-14)*2. Let a(f) be the second derivative of 3*f**2 + 9*f - 3/2*f**m + 0 + 1/4*f**4. Find c, given that a(c) = 0.
1, 2
Let f = 17210 - 17197. Let w(m) be the third derivative of -1/10*m**6 + 1/105*m**7 + 0 + 5/12*m**4 + 1/15*m**5 - f*m**2 + 1/168*m**8 + 0*m - m**3. Factor w(a).
2*(a - 1)**3*(a + 1)*(a + 3)
Let l(y) be the third derivative of -y**7/840 + 37*y**6/480 + 77*y**5/240 + 13*y**4/32 + 531*y**2 + y. Find j such that l(j) = 0.
-1, 0, 39
Solve -q**5 + 0 + 0*q - 40/3*q**3 + 28*q**2 - 127/3*q**4 = 0.
-42, -1, 0, 2/3
Suppose -3*k + 4*t + 151 = 0, 348 - 53 = 7*k + 5*t. Factor -7*q**3 - 101*q**2 - 155 - 329*q**2 + k - 22*q**3 - 505*q - 6*q**3.
-5*(q + 1)*(q + 11)*(7*q + 2)
Suppose 3*g - 296*q + 291*q = -25, 4*q = g + 20. Let f(b) be the first derivative of -1 + 0*b**3 + g*b**2 + 0*b + 1/12*b**4. Factor f(s).
s**3/3
Factor 0 + 0*z + 196/11*z**2 + 2/11*z**3.
2*z**2*(z + 98)/11
Let n be ((-4)/6)/(-4 + 188/48). Factor -18860*l - 4*l**3 - n + 68*l**2 - 60 + 18864*l.
-4*(l - 17)*(l - 1)*(l + 1)
Let r(g) be the first derivative of -g**4/16 + 3*g**3 + 39*g**2/2 - 2704*g + 470. Solve r(s) = 0 for s.
-16, 26
Let u(r) be the first derivative of -r**3/9 + 5*r**2/2 + 100*r/3 - 4157. Find l, given that u(l) = 0.
-5, 20
Suppose 5*j + 693 = 2*s, -3*s - s - 3*j + 1373 = 0. Factor -386*b**5 - 62*b**2 - 222*b**2 + 90*b**3 - 4*b**4 + 193*b**5 + s*b + 191*b**5 - 144.
-2*(b - 2)**3*(b - 1)*(b + 9)
Factor -1/2*h**2 + 18 + 9/2*h.
-(h - 12)*(h + 3)/2
Factor -349*c + c**2 - 876*c + 1695204 - 1379*c.
(c - 1302)**2
Let y(p) be the second derivative of p**6/45 + 4*p**5/5 - 13*p**4/9 - 680*p**3/3 + 7225*p**2/3 + 157*p. Factor y(b).
2*(b - 5)**2*(b + 17)**2/3
Let u = 4 - 7. Let r(x) = 2*x**2 + 2*x - 9. Let q be r(u). Determine g so that 6*g**2 - q*g**2 - 9*g + 0*g**2 = 0.
0, 3
Let k(l) be the first derivative of l**4/24 + 2*l**3/9 - 5*l**2 - 48*l - 3096. Factor k(g).
(g - 8)*(g + 6)**2/6
Let c be 2 + -1 - (-506)/(-552). Let x(v) be the third derivative of 1/144*v**4 + c*v**3 + 9*v**2 + 0 - 1/120*v**5 + 0*v - 1/720*v**6. Factor x(h).
-(h - 1)*(h + 1)*(h + 3)/6
Suppose -134 = -4*b - 90. Suppose -b - 1 + 6*j**2 + 8*j**2 - 11*j**2 = 0. What is j?
-2, 2
Let w(b) be the first derivative of 0*b + 1/2520*b**6 + 7 + 0*b**2 - 11/3*b**3 - 1/840*b**5 - 1/84*b**4. Let p(q) be the third derivative of w(q). Factor p(i).
(i - 2)*(i + 1)/7
Let l = 1411 + -1441. Let n be (32/24)/((-5)/l). Factor -27*g + 7/2*g**2 - n.
(g - 8)*(7*g + 2)/2
Let l(q) be the third derivative of -1/120*q**5 + 0*q - 23/24*q**4 - 529/12*q**3 - 2 - 29*q**2. Determine c, given that l(c) = 0.
-23
Let h(v) = -3*v**3 + v**2 + v - 2. Let x be h(-2). Suppose 43 = -2*s + 35, 0 = -g - 5*s - 17. Factor -2*y**2 - 118*y**4 - x*y**g + 138*y**4 + 10*y**2 + 68*y**3.
4*y**2*(y + 2)*(5*y + 1)
Let j = -134559/7 + 19223. Determine n, given that -10/7*n**2 + j*n + 10/7 - 2/7*n**3 = 0.
-5, -1, 1
Suppose -l - 18 = -15. Let f be (114/(-8 - -6))/(l/19). Solve 3*t**5 - 9*t**2 + 21*t**3 - 15*t**4 - f + 361 = 0.
0, 1, 3
Let k(r) = 8*r**3 + 8*r**2 - 44*r + 54. Let m = -82 + 80. Let g be 6 - -1*(m - -6). Let p(n) = n**3 - n**2 + n. Let f(v) = g*p(v) - k(v). Solve f(u) = 0 for u.
3
Let o = 2/4567 + 8628/1155451. Let z = 257/506 - o. Factor -5 + 2*h**2 - z*h**3 + 7/2*h.
-(h - 5)*(h - 1)*(h + 2)/2
Let f(t) be the third derivative of -2*t**5/5 + 523*t**4/8 - 195*t**3/2 + 317*t**2 + t. Determine g so that f(g) = 0.
3/8, 65
Let g(t) be the second derivative of -t**7/378 - 5*t**6/54 - 7*t**5/30 + 25*t**4/27 + 92*t**3/27 + 1232*t. Let g(o) = 0. Calculate o.
-23, -2, 0, 2
Determine q, given that -2/15*q**5 + 116/5*q**2 - 34/15*q**4 + 306/5*q + 162/5 - 116/15*q**3 = 0.
-9, -1, 3
Let i(b) = 3*b**2 - 21*b + 20. Let c(m) = -m**3 + 3*m**2 + 5*m - 6. Let k be c(4). Let d(o) = 35*o**2 - 250*o + 240. Let t(n) = k*d(n) + 25*i(n). Factor t(z).
5*(z - 4)*(z - 1)
Let p(d) be the third derivative of -d**6/1140 - d**5/57 - 675*d**2 - 3*d. Find r, given that p(r) = 0.
-10, 0
Let p(l) be the first derivative of 8*l**2 + 2*l**3 - l**4 + 8*l - 302 - 2/5*l**5. Factor p(i).
-2*(i - 2)*(i + 1)**2*(i + 2)
Let b = 32 + -27. Let p(j) = 5*j**2 + 10*j**2 + 123 + 3*j**2 - 64*j - b*j**2. Let t(k) = 20*k**2 - 96*k + 184. Let x(o) = -8*p(o) + 5*t(o). Factor x(m).
-4*(m - 4)**2
Let m = 33/4984 + 459/1246. Factor -63/2*g - 21/4*g**3 - 183/8*g**2 - m*g**4 - 27/2.
-3*(g + 1)**2*(g + 6)**2/8
Find r such that 1510*r**3 + 170*r**4 - 1350 - 3*r**5 + 2119*r**2 - 1515*r - 939*r**2 + 8*r**5 = 0.
-18, -15, -1, 1
Let b(l) be the first derivative of -l**6/6 - l**5/2 - 7*l - 54. Let v(f) be the first derivative of b(f). Let v(y) = 0. What is y?
-2, 0
Let t(f) be the first derivative of -4*f**5/5 - 28*f**4 - 188*f**3 - 404*f**2 - 352*f - 689. Suppose t(r) = 0. Calculate r.
-22, -4, -1
Let y(d) be the third derivative of -d**6/720 + d**5/240 + d**4/8 - 31*d**3/6 - 3*d**2 - 5. Let j(o) be the first derivative of y(o). Solve j(f) = 0.
-2, 3
Let m(l) be the second derivative of -l**4/12 - 89*l**3/2 - 265*l**2 - 1321*l. Factor m(c).
-(c + 2)*(c + 265)
What is y in -22/3*y**4 - 5/3*y**5 + 7/3*y**3 + 0 + 12*y + 32*y**2 = 0?
-3, -2/5, 0, 2
Suppose 3*d = -0*o - 2*o + 23, 5*o + 5*d = 60. Determine r, given that o*r**3 + 16 + 3*r**2 - 15*r**2 + 2*r**4 - 15*r**3 + 8*r = 0.
-2, -1, 2
Let p(j) = j**3 + j**2 - j - 1. Let i(t) = t + 16. Let l be i(-17). Let m(q) = 2*q**3 + 12*q**2 + 3*q - 17. Let u(a) = l*m(a) - 3*p(a). Factor u(v).
-5*(v - 1)*(v + 2)**2
Let q(y) = 5*y + 90. Let w(n) = n**3 - n**2 + 2*n - 18. Let z be w(0). Let p be q(z). Let p + 1/4*m**3 + m + m**2 = 0. Calculate m.
-2, 0
Find a, given that 365/4*a**2 - 9 - 37/4*a**3 - 9/4*a**4 - 283/4*a = 0.
-9, -1/9, 1, 4
Let p(x) be the first derivative of -x**3/21 - 6*x**2/7 - 5*x + 1289. Solve p(t) = 0 for t.
-7, -5
Let x = -16463/3 + 32927/6. Let f(p) be the first derivative of 1/8*p**4 + 6 + 0*p**2 + 0*p - x*p**3 + 1/10*p**5 - 1/12*p**6. Determine u so that f(u) = 0.
-1, 0, 1
Let w = -41784 - -41786. Let -330/17*p + 484/17 - 2/17*p**3 + 48/17*p**w = 0. What is p?
2, 11
Let y(v) = -3*v**2 + 39*v - 18. Let o be y(12). Suppose 4*k - 5*j - o = 0, -5*k - j = -14 + 6. Determine a so that 54*a - 22*a - 5*a**k - 22*a - 5 = 0.
1
Let c(y) = -2*y**3 + 55*y**2 - 398*y + 342. Let i(g) = 10*g**3 - 272*g**2 + 1990*g - 1712. Let v(w) = -16*c(w) - 3*i(w).