 q(n) = 5*a(n) + x(n). Factor q(c).
-(c - 13)*(c - 2)*(c - 1)**2
Solve 165825985*g + 71004357*g**4 + 336633890*g + 2385*g**3 - 71004356*g**4 + 1896075*g**2 = 0.
-795, 0
Let k(o) be the second derivative of -8*o**6/285 - o**5/5 - 17*o**4/38 - 4*o**3/57 + 20*o**2/19 - 5610*o. What is l in k(l) = 0?
-2, -5/4, 1/2
Let u be (-6)/330*-10 - (-20)/11. Let 19*x**2 - 11*x**u + 16*x**2 - 20 - 15*x**4 + 10*x**3 + 21*x**2 = 0. Calculate x.
-1, 2/3, 2
Factor 24*k + 4/7*k**2 - 32/7*k**3 + 0 + 4/7*k**4.
4*k*(k - 7)*(k - 3)*(k + 2)/7
Let z(a) be the third derivative of 7*a**6/180 - 331*a**5/90 + 104*a**4/9 - 92*a**3/9 - 2*a**2 + 110. Find g, given that z(g) = 0.
2/7, 1, 46
Let w(r) be the second derivative of 5/7*r**3 - 1/28*r**4 + 0 - 75/14*r**2 + 18*r. Solve w(u) = 0.
5
Let a = -1/113 + 183/7910. Let k(c) be the second derivative of 1/42*c**4 + 0 + a*c**5 + 15*c + 0*c**2 - 1/105*c**6 - 1/21*c**3. Factor k(q).
-2*q*(q - 1)**2*(q + 1)/7
Let x(f) be the second derivative of -f**4/6 + 287*f**3/3 + 1460*f**2 - 5673*f. Factor x(d).
-2*(d - 292)*(d + 5)
Let f be ((-8464)/7406)/(26/(-6685)) + 2*2. Factor -f*d + 0 - 2/13*d**3 + 176/13*d**2.
-2*d*(d - 44)**2/13
Let i = -2852 + 42781/15. Let c(k) be the third derivative of 1/40*k**4 - 1/200*k**6 + 0*k + 0 + 1/1050*k**7 - i*k**3 + 2*k**2 + 1/300*k**5. Factor c(m).
(m - 2)*(m - 1)**2*(m + 1)/5
Let q(m) = -1. Let d(k) = -2*k**3 - 2*k**2 + 2*k + 4. Let l(i) = 0*i + 3*i - 4*i + 5 - 10. Let y be l(-3). Let h(t) = y*q(t) - d(t). Find s such that h(s) = 0.
-1, 1
Let u(f) = -3*f**2 - 81*f - 72. Let c(v) = 2*v**2 + 80*v + 73. Suppose -26*w = -28*w - 12. Let q(o) = w*c(o) - 5*u(o). Suppose q(i) = 0. What is i?
-1, 26
Suppose -14*m + 10 = -284. Let v be 84/(-8)*(-6)/m. Let 2*j + 0*j**2 + 4/3 - 2/3*j**v = 0. Calculate j.
-1, 2
Let s be (18/(-21))/(1/(-4) + 529/(-644)). Let x(c) be the second derivative of -s*c**5 - 6*c + c**2 + 2*c**4 + 5/2*c**3 + 0. Factor x(d).
-(d - 2)*(4*d + 1)**2
Suppose -12*b = 5*f - 16*b - 47, 5*b + 22 = -6*f. Let j be 3/12 - (-18)/56. Factor 20/7*k**f - 8/7 - j*k**4 + 4*k - 36/7*k**2.
-4*(k - 2)*(k - 1)**3/7
Factor -347 + 102*p - 157 - 2555*p**2 + 2552*p**2.
-3*(p - 28)*(p - 6)
Let x(i) = 163*i**2 + 899*i - 474. Let b be x(-6). Factor -16/3*v**3 - 20/3*v**2 + b - 2*v.
-2*v*(2*v + 1)*(4*v + 3)/3
Let a(o) be the third derivative of 10*o**3 + 0 - 264*o**2 + 11/20*o**5 + 1/120*o**6 + 0*o + 23/6*o**4. Let a(d) = 0. What is d?
-30, -2, -1
Suppose 8*l + 32 = 24*l. What is p in 106 - 14*p - 15*p + 218 + p**l - 7*p = 0?
18
Let 75*i + 1192*i**2 + 0*i**3 + 12*i**3 + 252 - 1531*i**2 = 0. Calculate i.
-3/4, 1, 28
Factor -4*v**3 - 76*v - 32*v + 560771 - 40*v**2 - 560843.
-4*(v + 1)*(v + 3)*(v + 6)
Let k(g) be the first derivative of -56/5*g**5 + 0*g**2 + 0*g**3 + 0*g + 8*g**4 + 10/3*g**6 + 98. Solve k(x) = 0 for x.
0, 4/5, 2
Let r be (2879 - 2891)*((-1)/8 + 0). Determine g so that 45/2*g**2 - 96 - r*g**3 - 72*g = 0.
-1, 8
Let t(y) = -6385*y + 19401. Let p be t(3). Find g, given that -56/9*g - p*g**3 + 242/9*g**5 + 664/9*g**2 + 0 + 1364/9*g**4 = 0.
-7, 0, 2/11, 1
Factor -100*t + 4*t**2 - t**2 + 46*t - 5*t**2.
-2*t*(t + 27)
Let q(u) be the second derivative of 1/30*u**6 + 0 - 7/2*u**3 + 0*u**2 - 1/12*u**4 + 21/20*u**5 - 110*u. Factor q(f).
f*(f - 1)*(f + 1)*(f + 21)
Let k(r) be the third derivative of r**8/504 - 262*r**7/315 + 15529*r**6/180 + 21214*r**5/9 + 220844*r**4/9 + 1201216*r**3/9 - 416*r**2 - 9. Factor k(d).
2*(d - 137)**2*(d + 4)**3/3
Suppose -175*d + 43 = -176*d. Let r = 50 + d. Determine v so that 21*v**5 - r*v**2 - 3*v**4 + 12*v**2 + 9*v**3 - 11*v**2 + 39*v**4 = 0.
-1, 0, 2/7
Let q = -12119 + 84835/7. Let x(j) = 2*j - 7. Let d be x(5). Let -q*a**2 + 6/7*a**d + 0 + 0*a - 6/7*a**5 + 2/7*a**4 = 0. Calculate a.
-1, 0, 1/3, 1
Let p(s) = s**2 + s - 4. Let d be p(-3). Let t(y) = -14*y + 461. Let x be t(32). Solve 8 - 15 - 55*v + 6*v**d - x + 9*v**2 = 0.
-1/3, 4
Let f(a) be the first derivative of -7*a**6/2 + 181*a**5/5 - 295*a**4/4 - 245*a**3/3 + 108*a**2 - 36*a - 590. Solve f(s) = 0 for s.
-1, 2/7, 1/3, 3, 6
Let f(c) be the second derivative of c**7/21 - 23*c**6/15 + 27*c**5/2 - 221*c**4/6 - 80*c**3/3 + 300*c**2 - 2*c - 1558. Suppose f(k) = 0. What is k?
-1, 2, 5, 15
Let i(p) = -p**3 - 16*p**2 + 272*p + 3844. Let v be i(-20). Solve 0*y**2 + 0 + 6/11*y**3 + 14/11*y**v + 8/11*y**5 + 0*y = 0 for y.
-1, -3/4, 0
Suppose 113*n - 42*n = -17*n - 125*n - 19*n. What is y in 5/2*y**5 + 27/2*y**4 + 0*y**2 + n + 5*y**3 + 0*y = 0?
-5, -2/5, 0
Solve 0 - 12*s**2 - 184/7*s + 4/7*s**3 = 0 for s.
-2, 0, 23
Let w(y) = 67*y**3 + 1342*y**2 + 40*y + 3. Let l be w(-20). Solve 21/2*d**5 + 0 - 225/2*d**4 + 669/2*d**l - 75*d - 315/2*d**2 = 0.
-2/7, 0, 1, 5
Let f(w) be the second derivative of -2*w**7/21 + 7*w**6/3 - 1497*w**5/80 + 135*w**4/2 - 927*w**3/8 + 405*w**2/4 + 1156*w. Find z, given that f(z) = 0.
3/4, 3, 10
Suppose -9*d = 16*d - 2*d - 138. Let q(n) be the second derivative of 1/3*n**4 + 1/15*n**d + 0*n**3 - 3/10*n**5 + 0 + 0*n**2 + 20*n. Factor q(x).
2*x**2*(x - 2)*(x - 1)
Let f(b) be the first derivative of -b**8/420 - 2*b**7/525 + b**6/150 + b**5/75 - 11*b**2 + 3*b + 57. Let r(j) be the second derivative of f(j). Factor r(t).
-4*t**2*(t - 1)*(t + 1)**2/5
Let x(u) be the third derivative of u**6/18 + 9*u**5/8 + 15*u**4/4 + 44*u**3/3 + 114*u**2. Let s(t) be the first derivative of x(t). Factor s(c).
5*(c + 6)*(4*c + 3)
Factor 120/7*b - 4/7*b**2 + 0.
-4*b*(b - 30)/7
Let v(p) = -p**3 + 13*p**2 - 11*p - 12. Let z be v(12). Let x(t) = -2*t**3 + 68*t**2 - 19*t + 648. Let q be x(34). Factor z + 1/4*y**q - 3/2*y.
y*(y - 6)/4
Let m(i) be the second derivative of -1/72*i**4 + 8/3*i**2 - 175*i - 31/36*i**3 + 0. Suppose m(a) = 0. What is a?
-32, 1
Suppose 4*l - u + 284 = 0, 4*l + 148 = 2*l + 2*u. Let g be (-9 + 118/14)/(12/l). What is m in 6*m**2 + 16/5*m + g*m**3 + 8/15 = 0?
-1, -2/5
Let d be (99/(-27))/(77/(-63)). Let u(r) be the first derivative of 2*r + 9 + 1/5*r**5 - 5/4*r**4 - 7/2*r**2 + d*r**3. Determine f so that u(f) = 0.
1, 2
Suppose -20 = -6*p + 22. Factor -p*o**3 + 10*o**3 + 2*o**2 + o**2 - 2*o - 4*o**3.
-o*(o - 2)*(o - 1)
Let v(t) = -t**2 + 4*t + 6. Let d be v(-4). Let a = 38 + d. Find h such that -12*h**4 + 6*h**4 + 0*h**3 - 9*h + 6*h**2 - 3*h**5 + a*h**3 = 0.
-3, -1, 0, 1
Let h(x) be the third derivative of -x**6/20 + 5*x**5/4 - 11*x**4/8 - 6*x**3 - 254*x**2 + 1. Factor h(a).
-3*(a - 12)*(a - 1)*(2*a + 1)
Let q = 1 + 3. Determine m so that -m**2 - 92*m**3 + m**q + 6*m - 14*m + 10*m + 90*m**3 = 0.
-1, 0, 1, 2
Let p(k) = -k**3 - 9*k**2 - 7*k - 8. Let j be p(-7). Let r = j + 514/9. Factor -2/3*i - r*i**4 - 8/9*i**2 + 2/3*i**3 + 1.
-(i - 3)**2*(i - 1)*(i + 1)/9
Let t(c) = -c**3 - 2*c + 3. Let a(z) = 8*z + 2 - 13*z - 4 - 2. Let s be a(-2). Let x(v) = 8*v**3 + 14*v - 22. Let k(b) = s*x(b) + 44*t(b). Solve k(p) = 0 for p.
-1, 0, 1
Suppose -2297 = -4*q - 2313. Let i(o) = 3*o**3 - 10*o**2 + 3*o. Let n(l) = -9*l**2 - 4*l + 3*l**3 + 7*l + 0*l**3. Let j(c) = q*n(c) + 3*i(c). Solve j(m) = 0.
0, 1
Suppose -7*a - 16 = -23*a. Let j(k) = -3*k**2 - 26*k + 24. Let l(z) = z**2 + 2*z + 2. Let s(o) = a*j(o) + 4*l(o). Factor s(m).
(m - 16)*(m - 2)
Let r(h) be the first derivative of 46/21*h**3 - 1/14*h**4 + 0*h**2 + 0*h + 24. Factor r(b).
-2*b**2*(b - 23)/7
Let w(s) be the second derivative of -s**6/15 + 4*s**5/15 + 7*s**4/3 - 32*s**3/9 - 5*s**2 - 60*s + 8. Let w(g) = 0. What is g?
-3, -1/3, 1, 5
Let n(r) be the first derivative of -7*r**4/2 - 3364*r**3/15 - 20256*r**2/5 - 2304*r/5 + 1125. Factor n(z).
-2*(z + 24)**2*(35*z + 2)/5
Let s be (-168)/((-3)/1) - 94/(-47). Factor -25*h + 3*h**3 + s*h + h**2 + 2 + 17*h**2 + 16.
3*(h + 1)*(h + 2)*(h + 3)
Suppose 4*z - 3*l = 60, l + 24 = 5*z - 40. Let t = 468 + -460. Solve t*y + z + 4/3*y**2 = 0 for y.
-3
Let b = 527 - 525. Factor 239*p**2 - 423*p**2 - 20*p**4 + 24*p**3 - 88*p + 232*p**b + 36.
-4*(p - 1)**3*(5*p + 9)
Suppose -4 + 40 = 6*o. Let t be -138*o*1/(-4). Factor -228 - c**2 - 2*c**2 + t + 24*c.
-3*(c - 7)*(c - 1)
Let j = 189906 + -949526/5. Let 0 - j*x - 1/5*x**2 = 0. What is x?
-4, 0
Let b = 17763/2968 + 52/371. Factor -b*m**4 + 3/2*m + 175/8*m**3 - 11*m**2 + 0.
-m*(m - 3)*(7*m - 2)**2/8
Let j(x) = 15*x**2 - 13500*x - 9193680. Let k(y) = -2*y**2 - 6*y. Let f(n) = j(n) + 10*k(n). Suppose f(c) = 0. W