 1/6*i**6 + 0 - f*i**2 + 5/24*i**4 + 5/12*i**5 + 0*i**3 + 0*i. Factor v(g).
5*g*(g + 1)*(4*g + 1)
Let q be (-270)/(-81)*108/285. Let n(d) be the first derivative of 11 - 14/19*d**3 + q*d**2 - 49/38*d**4 - 8/19*d. Factor n(j).
-2*(j + 1)*(7*j - 2)**2/19
Let k be (15/(-3))/(-1 - 18/12). Determine x so that 145*x**2 - 73*x**2 - 71*x**k + 10*x + 25 = 0.
-5
Let z be (-179)/(-36) + (-87)/(-58) - 6. Let d = 7/9 + z. Determine m so that 5/4*m + 5/2*m**3 - 5/2*m**2 - d*m**4 - 1/4 + 1/4*m**5 = 0.
1
Suppose 44067*g - 44066*g = y - 2, 3*y = -8*g + 17. Factor -1/2*s**2 + 1/4*s + 1/2 - 1/4*s**y.
-(s - 1)*(s + 1)*(s + 2)/4
Factor -14485*l**3 - 60*l**2 + 1275*l - 2884 + 12*l**2 + 14486*l**3 - 507*l - 1212.
(l - 16)**3
Let t(p) be the first derivative of -2*p**5/65 - 215*p**4/13 - 91586*p**3/39 + 92880*p**2/13 - 93312*p/13 - 1953. Determine l so that t(l) = 0.
-216, 1
Suppose 8*g - 161 = -129. Determine l so that 3*l**3 - g*l**3 + 3*l**2 + 5*l**3 + 13*l**2 = 0.
-4, 0
Factor -190385/2*a**4 - 4225/2*a**5 - 14435055/2*a**2 - 6750 - 440100*a - 2863579/2*a**3.
-(a + 15)**3*(65*a + 2)**2/2
Let y(w) be the third derivative of w**5/15 + 4*w**4/3 + 10*w**3 + 18*w**2 + 4. Let y(a) = 0. Calculate a.
-5, -3
Let s(t) = -t**2 - 10*t + 15. Let n be s(-11). Let v(l) be the second derivative of 17*l + 1/60*l**n + 0 - 1/15*l**3 - 3/10*l**2. Find b, given that v(b) = 0.
-1, 3
Factor -8093*q + 699380 + 17898*q + 5*q**2 - 13545*q.
5*(q - 374)**2
Let c(d) be the second derivative of -1/20*d**4 - 6*d - 2 + 12/5*d**2 + 7/10*d**3. Factor c(w).
-3*(w - 8)*(w + 1)/5
Let h(a) be the second derivative of -16/3*a**3 - 23/12*a**4 + 182*a + 0 - 6*a**2 - 3/20*a**5. Determine p so that h(p) = 0.
-6, -1, -2/3
Let p(f) be the first derivative of 2/33*f**3 - 5/11*f**2 + 70 + 8/11*f. Factor p(c).
2*(c - 4)*(c - 1)/11
Let m = -7 - 2. Let c be 2*(3 + m)/(-3). What is i in 4*i**4 + 6*i**2 + 4 - 10*i**2 + 0*i**c - 4*i**2 = 0?
-1, 1
Suppose 0 = 5*i - 5*o + 25, 0 = -i - 5*o + 2*o + 15. Let c be (2 - (-32 + 20)) + -14 + 0. What is b in 1/2*b**3 + c*b + i - b**2 = 0?
0, 2
Let y(g) be the second derivative of -8*g**6/15 - 91*g**5/2 - 277*g**4/2 - 329*g**3/3 + 55*g**2 - g + 1887. Determine r, given that y(r) = 0.
-55, -1, 1/8
Suppose -92*k + 170*k + 36 = 90*k. Find f such that 1/2*f + 2*f**4 + 0 + 2*f**2 + k*f**3 + 1/2*f**5 = 0.
-1, 0
Suppose -10*s + 13*s - b - 3 = 0, -3*b - 9 = -7*s. Factor -2/7*f**4 + 4/7*f**2 + s*f + 0*f**3 - 2/7.
-2*(f - 1)**2*(f + 1)**2/7
Let n(i) be the first derivative of 4*i**3 + 63 - 13/2*i**2 + 0*i + 1/4*i**4. Let n(m) = 0. What is m?
-13, 0, 1
Let h(y) be the second derivative of -1 - 15*y + y**5 - 20*y**3 - 13/6*y**4 - 1/15*y**6 - 36*y**2. Factor h(s).
-2*(s - 6)**2*(s + 1)**2
Let j(m) be the second derivative of -5/56*m**7 - 1/20*m**5 - 142*m + 2/15*m**6 + 0*m**4 + 0 + 0*m**3 + 0*m**2. Find z such that j(z) = 0.
0, 2/5, 2/3
Let p be (2180/4578)/((44/(-48))/(-11)). Find s, given that 6*s**5 + 40/7*s**2 - 8/7*s - p*s**4 + 0 - 34/7*s**3 = 0.
-1, 0, 2/7, 2/3, 1
Let l(x) be the first derivative of 2*x**5/17 - 13*x**4/17 + 80*x**3/51 - 22*x**2/17 + 6*x/17 - 1227. Let l(v) = 0. Calculate v.
1/5, 1, 3
Let d be -5 + -15*(-4)/6. Determine q, given that -7*q**2 + 2*q**2 - d*q**4 + 15*q + 352*q**3 + 10 - 367*q**3 = 0.
-2, -1, 1
Let z(r) = 2*r**3 + 79*r**2 + 12*r + 265. Let w be z(-40). Let s = w - -1815. Factor -3/2*x**2 + s*x + 3/2*x**3 + 0.
3*x**2*(x - 1)/2
Let b(l) be the third derivative of -2/35*l**7 + 0 + 0*l**4 + 1/15*l**6 + 0*l + 1/84*l**8 + 0*l**3 + 177*l**2 + 0*l**5. Let b(t) = 0. What is t?
0, 1, 2
Let m = 16 + 2. Suppose -2*n + 2 = 0, -2*n = -2*k - 3*k + m. What is t in -15*t**2 - 10*t**k + 6*t + 4*t - 92*t**3 + 32*t**3 - 25*t**4 = 0?
-1, 0, 2/7
Suppose 3*g - 308 = -4*h, -7*h - 2*g = -8*h + 66. Determine c, given that -202*c**3 - 211*c**4 - 90*c**4 + h*c**3 - 16*c**2 - 48*c**3 - 183*c**4 = 0.
-2/11, 0
Let d(p) = 2*p**3 + 528*p**2 - 1064*p + 54. Let q(n) = 2*n**3 + 528*n**2 - 1064*n + 36. Let v(w) = 2*d(w) - 3*q(w). Let v(g) = 0. Calculate g.
-266, 0, 2
Let i(r) be the first derivative of 2*r**3/3 + 232*r**2 + 920*r + 5838. Suppose i(l) = 0. What is l?
-230, -2
Let z = 22626 - 271511/12. Let i(u) be the second derivative of -z*u**3 + 1/40*u**5 - 1/6*u**4 + u**2 - 22*u + 0. Determine c so that i(c) = 0.
-1, 1, 4
Let f be -30 + ((-988)/(-65) - -15). What is x in 0*x**2 + 0*x + 1/5*x**3 + 0*x**4 + 0 - f*x**5 = 0?
-1, 0, 1
Let n(v) be the third derivative of -v**6/120 - v**5/4 - 3*v**4/2 - 7*v**2 + 2*v + 51. Factor n(b).
-b*(b + 3)*(b + 12)
Factor 71*s**3 - s**2 - 41*s**2 + 208*s - 169*s**3 + 100*s**3.
2*s*(s - 13)*(s - 8)
Let p(k) be the third derivative of -7/60*k**5 + 0*k + 0 - 179*k**2 + 1/24*k**4 + 0*k**3. Suppose p(i) = 0. What is i?
0, 1/7
Suppose 180/7 - 36/7*n - 29/7*n**2 + 1/7*n**3 = 0. What is n?
-3, 2, 30
Let t be (-6)/6*(-604)/4. Factor 21*l**3 + 124*l**2 + 302*l + 96 - t*l + 177*l - 9*l**3.
4*(l + 4)*(l + 6)*(3*l + 1)
Let b(x) be the second derivative of x**7/126 + x**6/40 - 7*x**5/60 + 23*x**4/6 + 71*x. Let p(n) be the third derivative of b(n). Suppose p(u) = 0. Calculate u.
-7/5, 1/2
Let n(o) be the first derivative of 5*o**9/18144 + 5*o**8/2016 + o**7/336 - o**6/48 + o**3/3 + 5*o - 97. Let x(b) be the third derivative of n(b). Factor x(d).
5*d**2*(d - 1)*(d + 3)**2/6
Solve -2/7*r**2 - 6 + 20/7*r = 0.
3, 7
Let z = 1056 - 1049. Suppose 19*g = -z*g. Solve -2*v**4 - v**2 + 0*v + g - 5/2*v**3 - 1/2*v**5 = 0.
-2, -1, 0
Let u(a) be the first derivative of -3*a**7/70 + 19*a**6/60 - 11*a**5/15 + a**4/3 + 42*a**2 + 64. Let n(g) be the second derivative of u(g). Factor n(t).
-t*(t - 2)**2*(9*t - 2)
Let w be -9 + (24990/442)/5. Factor -w - 4/13*g + 2/13*g**2.
2*(g - 5)*(g + 3)/13
Let r be (153 + -150 - (-33)/(-18))*(-6)/(-14). Factor -1 - 2*c**2 + r*c**3 + 5/2*c.
(c - 2)*(c - 1)**2/2
Let q(g) be the third derivative of -g**5/60 - g**4/24 - g**3/6 + 45*g**2. Let i(m) = 6*m**2 + 7*m + 8. Let u(v) = 5*i(v) + 35*q(v). Let u(f) = 0. Calculate f.
-1, 1
Let v(p) be the first derivative of p**7/1050 + 7*p**6/600 + 7*p**5/150 + p**4/15 - 10*p**2 + 3*p + 333. Let b(t) be the second derivative of v(t). Factor b(w).
w*(w + 1)*(w + 2)*(w + 4)/5
Suppose 5*s = 8*s - 39. Suppose -5*z + s = -27. Factor 47 + z + 147*w**2 - 7 + 168*w.
3*(7*w + 4)**2
Let u = -1862 + 1862. Let g(m) be the third derivative of 1/252*m**7 + 0*m + 10*m**2 + 1/2016*m**8 + 0 + 1/90*m**6 + 0*m**3 + u*m**4 + 1/90*m**5. Factor g(a).
a**2*(a + 1)*(a + 2)**2/6
Factor 2240/9 + 4/9*u**2 - 52*u.
4*(u - 112)*(u - 5)/9
Let z(g) be the first derivative of g**6/33 - 46*g**5/55 + 9*g**4 - 1616*g**3/33 + 1568*g**2/11 - 2304*g/11 + 595. Solve z(y) = 0.
2, 4, 9
Factor 4*v**3 - 260 - 256*v - 176528*v**2 - 3*v**3 + 176467*v**2.
(v - 65)*(v + 2)**2
Let h(b) = b + 1. Let v(l) = -l**2 + 10*l - 1. Let w(f) = -5*h(f) + v(f). Let t be w(2). Determine i so that t*i - 3*i**2 - 8 + 2 + 9*i = 0.
1, 2
Let j = -176 - -181. Factor -70*x - 12*x - 20*x**2 + j*x**3 + 7*x + 90.
5*(x - 6)*(x - 1)*(x + 3)
Let v(x) be the first derivative of -x**6/540 - x**5/27 - 4*x**4/27 - 33*x**2/2 + 69. Let z(m) be the second derivative of v(m). Suppose z(d) = 0. What is d?
-8, -2, 0
Let m be -354 + 322 + 454/14. Factor 0 + m*s + 15/7*s**5 + 54/7*s**3 - 24/7*s**2 - 48/7*s**4.
3*s*(s - 1)**3*(5*s - 1)/7
Let b(k) = -5655*k**2 - 20*k - 65. Let a(c) = 257*c**2 + c + 3. Let w(u) = 65*a(u) + 3*b(u). Factor w(q).
-5*q*(52*q - 1)
Let p be ((-505)/202)/((-35)/56). Let k(v) be the third derivative of 0*v - 1/6*v**p - 1/30*v**5 + 0*v**3 + 1 + 5*v**2. Factor k(z).
-2*z*(z + 2)
Let h be 13*(0 + (-5 + 6)*1). Find s, given that 12 + 5*s**3 + 28*s**2 - 2 + h*s + 12*s - 8*s**2 = 0.
-2, -1
Factor -9/4 + 1/4*w**3 - 1/4*w + 9/4*w**2.
(w - 1)*(w + 1)*(w + 9)/4
Factor -1072/7*f**4 + 0*f + 0*f**2 + 4/7*f**5 + 0 + 71824/7*f**3.
4*f**3*(f - 134)**2/7
Let g = 2401 + -2396. Let o(b) be the first derivative of -8/25*b**g + 0*b**2 - 1/2*b**4 + 0*b - 4/15*b**3 + 1 - 1/15*b**6. Determine s so that o(s) = 0.
-2, -1, 0
Let q = 519667 + -519467. Factor -q + 20*a - 1/2*a**2.
-(a - 20)**2/2
Let f(a) be the first derivative of 3*a**5/40 + 3*a**4/8 - 3*a**3/8 - 21*a**2/8 - 3*a + 1229. Find j, given that f(j) = 0.
-4, -1, 2
Let a = -714887/7 - -102127. Factor 120/7*d + a*d**3 - 16 - 36/7*d**2.
2*(d - 14)