 be a(5). Suppose 233*o - s*o - 16608 - 3*o**2 + 425*o + 11900 - 16460 = 0. What is o?
84
Suppose -13*d + 15*d + 42 = 0. Let o be (3 + 279/d)*56/(-12). Determine r so that -5*r - 117*r**2 + o*r**4 - 42*r**3 - 46*r - 6 + 18*r**3 = 0.
-1, -1/4, 2
Let t(o) be the third derivative of -8/75*o**5 + 0 + 1/6*o**4 - 6*o + 4*o**2 + 2/5*o**3. Factor t(l).
-4*(l - 1)*(8*l + 3)/5
Let f(c) be the first derivative of 2*c**3/3 - 272*c**2 + 553. Factor f(q).
2*q*(q - 272)
Let c(m) be the second derivative of -9*m**5/20 - 131*m**4/8 + 11*m**3/2 + 480*m. Factor c(p).
-3*p*(p + 22)*(6*p - 1)/2
Suppose 11858/5*k**5 + 2418/5*k - 4220*k**2 - 18 - 14322*k**4 + 65724/5*k**3 = 0. Calculate k.
1/11, 3/7, 5
Find w such that 8 + 1/2*w**3 - 8*w - 1/2*w**2 = 0.
-4, 1, 4
Let u(t) = t + 9. Let i be u(-6). Solve 1385*a**i + 795*a**2 + 105*a**4 - 207*a**4 - 193*a**4 - 1400*a - 91 + 15*a**5 - 158 - 251 = 0.
-1, -1/3, 1, 10
Let v = 3451660/29338821 + -2/1725813. Determine a so that -v*a**2 + 0 + 16/17*a = 0.
0, 8
Find j such that 105 + 74/3*j**2 - 139*j - 5/3*j**4 + 34/3*j**3 - 1/3*j**5 = 0.
-7, -5, 1, 3
Let l be (-14)/(-3)*(10 + -7). Suppose 5*v = 9 - l. Let q(b) = -5*b**2 + 3*b. Let x(m) = m**2 + m. Let k(p) = v*q(p) - 4*x(p). Determine t so that k(t) = 0.
0, 7
Let y(r) be the first derivative of -6*r**2 - 106*r - 93. Let h be y(-9). Factor 1/2 + 1/2*f**h - f.
(f - 1)**2/2
Let p be 10*((-42)/30 + 3). Factor -3*s**2 - 14 - 9*s + p + 10.
-3*(s - 1)*(s + 4)
Let d = -2246 + 2249. Let o(n) be the first derivative of 19 + 25/4*n**2 - 2/3*n**3 - d*n. Factor o(w).
-(w - 6)*(4*w - 1)/2
Let w = 428 - 356. Factor 5*i**2 - 3*i**2 - 39*i - 11*i**2 + 6*i**2 - w - 18.
-3*(i + 3)*(i + 10)
Factor 3468/5*j**2 + 0 - 876/5*j**3 - 3456/5*j + 3/5*j**4.
3*j*(j - 288)*(j - 2)**2/5
Suppose -l - 9157*t + 9159*t + 16 = 0, 0 = -11*l + t + 29. Factor 54/7*s - 3/7*s**l + 27/7 - 6/7*s**3.
-3*(s - 3)*(s + 3)*(2*s + 1)/7
Suppose -5*a = -2*h - 95, 383 = -11*h + a - 60. Let i be 10/h*-44 + -7. Find m such that 0*m**2 + 0*m - 1/6*m**3 + 0 - 1/12*m**i = 0.
-2, 0
Let x(y) be the third derivative of y**6/360 + y**5/30 + y**4/8 - y**3/2 - 3*y**2 + 9*y. Let n(u) be the first derivative of x(u). Solve n(d) = 0.
-3, -1
Let a(r) be the second derivative of -1/6*r**4 - 1/10*r**5 - 7 + 0*r**2 + 9*r + 2/3*r**3. Factor a(y).
-2*y*(y - 1)*(y + 2)
Factor -229908*g**2 + 30118144 - 29887648*g - 1/2*g**4 - 1175/2*g**3.
-(g - 1)*(g + 392)**3/2
Let g(l) = -3*l**2 - 132*l - 657. Let t be g(-6). Find d, given that -243*d - 3/4*d**3 + 0 - t*d**2 = 0.
-18, 0
Let d(q) = q**2 - q + 1. Let u be 30/70 + (-8)/(-14). Let v(s) = 3 + 402*s - 411*s - 9. Let r(o) = u*v(o) - d(o). Let r(m) = 0. What is m?
-7, -1
Let u(z) be the third derivative of -z**5/60 - 11*z**4/6 - 14*z**3 + 1031*z**2. What is o in u(o) = 0?
-42, -2
Let c(b) = -b**3 - 86*b**2 - 168*b. Let j(l) = -3*l**3 - 173*l**2 - 334*l. Let m(z) = -13*c(z) + 6*j(z). Determine i so that m(i) = 0.
-2, 0, 18
Factor 4*p**2 + 0*p**2 + 20*p**3 - 23*p**2 - 5*p**2 + 4*p**4.
4*p**2*(p - 1)*(p + 6)
Let x be (49 + -1)*10/20. Let c = x + -22. Solve 25*k**3 + 14*k**5 + 0*k**5 - 20*k**4 - 9*k**5 - 10*k**c = 0.
0, 1, 2
Let d(z) be the first derivative of z**4/6 + 10*z**3 - 301*z**2/3 + 170*z - 3297. Determine r, given that d(r) = 0.
-51, 1, 5
Let o(t) = -19*t**2 + 986*t + 106. Let k be o(52). Suppose 0 + 2/7*j**k - 44/7*j = 0. What is j?
0, 22
Let a(b) = 7021*b - 926770. Let g be a(132). Factor 1/5*r**g - 11/5 + 2*r.
(r - 1)*(r + 11)/5
Let i(x) be the third derivative of x**5/360 - 83*x**4/72 - 167*x**3/36 - x**2 + 2*x + 2712. Factor i(p).
(p - 167)*(p + 1)/6
Suppose 251*v + 123*v = 740 + 8. Suppose -8/3 - 14/3*j + 4*j**v + 14/3*j**3 - 4/3*j**4 = 0. Calculate j.
-1, -1/2, 1, 4
Let b(a) = 29*a**2 - 4*a + 3. Let r be b(1). Suppose 25*k + 6 = r*k. Find m such that -m**3 + 18*m**2 - 6*m**2 - 9*m**k + 0*m**2 = 0.
0, 3
Let q(c) be the second derivative of 18*c + 0*c**2 - 1/70*c**5 + 1/35*c**6 + 0*c**4 + 4/147*c**7 + 0*c**3 + 7. Factor q(h).
2*h**3*(h + 1)*(4*h - 1)/7
Suppose 14*l - 119 + 133 = 0. Let p(v) = 2*v**3 - 147*v**2 + 2873*v. Let t(x) = x**2 - 3*x. Let m(a) = l*p(a) + 5*t(a). Factor m(h).
-2*h*(h - 38)**2
Let r = 79 - 72. Suppose -9*k + 20 = -r. Find q, given that -9*q**k - 3*q**2 + 9*q + 6*q + 5*q - 11*q + 3*q**4 = 0.
-1, 0, 1, 3
Let p(t) be the first derivative of -68*t**2 - 2/3*t**3 - 2312*t + 1. Factor p(s).
-2*(s + 34)**2
Let d(y) be the second derivative of -5*y**7/42 + y**6/2 + 15*y**5/2 - 155*y**4/3 + 100*y**3 + 424*y - 5. Find v, given that d(v) = 0.
-6, 0, 2, 5
Factor -101*o**2 - 237*o**2 - 3*o**3 - 724*o**2.
-3*o**2*(o + 354)
Let s = 278 - 283. Let k(l) = l**3 - 19*l**2 + 11*l + 41. Let p(a) = 3*a**3 - 66*a**2 + 39*a + 144. Let w(g) = s*p(g) + 18*k(g). Solve w(r) = 0 for r.
-1, 2, 3
Let v(d) be the third derivative of 7*d**8/192 - 3*d**7/8 - 391*d**6/120 - 112*d**5/15 - 7*d**4 - 10*d**3/3 + d**2 + 1751. Suppose v(c) = 0. Calculate c.
-2, -1, -2/7, 10
Let o(t) be the first derivative of 0*t**2 - 1/3*t**3 - 1/12*t**4 - 1/24*t**5 + 7/360*t**6 + 28 + 0*t. Let c(m) be the third derivative of o(m). Factor c(h).
(h - 1)*(7*h + 2)
Let m(x) be the first derivative of -x**4/24 + 29*x**3/18 - 97*x**2/6 - 112*x/3 + 1698. Factor m(a).
-(a - 16)*(a - 14)*(a + 1)/6
Factor -285 + 286*o**2 + 2*o**4 + 150*o + 136*o**3 - 11*o**3 - 219 - 36*o**3 - 23*o**3.
2*(o - 1)*(o + 3)**2*(o + 28)
Let m(d) = d**2 - 135*d + 4225. Let o(j) = -j**2 + 136*j - 4225. Let r = 514 - 520. Let l(t) = r*m(t) - 5*o(t). Solve l(x) = 0 for x.
65
Let -105*r + 11/2*r**2 + 0 + 1/2*r**3 = 0. Calculate r.
-21, 0, 10
Let a(t) be the first derivative of 88/3*t**3 + 8*t**2 + 121/3*t**4 - 5*t + 14. Let j(i) be the first derivative of a(i). Let j(f) = 0. What is f?
-2/11
Factor -h**5 + 0*h + 0*h**3 + 1/2*h**2 + 0 - 3/2*h**4.
-h**2*(h + 1)**2*(2*h - 1)/2
Let f(p) be the first derivative of 7*p**6/12 + 23*p**5/10 + 3*p**4/4 - 14*p**3/3 - 2*p**2 - 1680. Suppose f(y) = 0. Calculate y.
-2, -2/7, 0, 1
Let q(u) = 17*u**2 + 35*u + 60. Let y(w) = -30*w**2 - 70*w - 120. Let s(o) = -5*q(o) - 3*y(o). Factor s(f).
5*(f + 3)*(f + 4)
Let p(c) be the third derivative of 7*c**6/40 - 17*c**5/5 - 5*c**4/2 - 834*c**2. Factor p(k).
3*k*(k - 10)*(7*k + 2)
Let i(c) = c**3 - 6*c**2 + 7*c + 10. Let b be i(4). Let p be b + (-4 + 42/15)*5. Determine l, given that -2/7*l**4 + 2/7*l**2 + 4/7*l**3 - 4/7*l + p = 0.
-1, 0, 1, 2
Suppose -5*v = 8*v + 9360. Let j be v/(-84) - (8 + 0). Factor j*h**4 + 4/7*h**2 + 0*h + 0 + 8/7*h**3.
4*h**2*(h + 1)**2/7
Suppose 0 = 5*k - k - 44. Let h be 60/(-8)*k/(-66). Factor 1/4*d**3 + 7/4*d - 3/4 - h*d**2.
(d - 3)*(d - 1)**2/4
Let y be 1/6 + ((-39180)/1872 - -21)*2. Find b such that 6/13*b**3 + 10/13*b**2 + 0 + y*b = 0.
-1, -2/3, 0
Let i(l) be the second derivative of 8*l - 2/15*l**5 + 37/6*l**3 + 0*l**2 + 1/90*l**6 + 0 + 1/2*l**4. Let a(s) be the second derivative of i(s). Factor a(f).
4*(f - 3)*(f - 1)
Let u = -152 - -170. What is x in -8*x**5 + 6*x**3 + 30*x**3 - u*x**4 + 9*x + 11*x**5 - 30*x**2 = 0?
0, 1, 3
Let f(q) be the third derivative of 26569*q**5/12 - 815*q**4/12 + 5*q**3/6 + 608*q**2. Solve f(a) = 0.
1/163
Let q = -13257 + 13260. Let m(v) be the second derivative of 0 - q*v**2 - 11*v - 3/20*v**5 + 3/4*v**4 - 1/10*v**6 + 1/2*v**3. Determine g, given that m(g) = 0.
-2, -1, 1
Let c(u) be the third derivative of u**6/150 - 1232*u**5/75 + 189728*u**4/15 - 111*u**2. Factor c(x).
4*x*(x - 616)**2/5
Factor 3/5*p**3 + 0*p + 0 + 219/5*p**2.
3*p**2*(p + 73)/5
Let h(m) = -7*m + 2*m - 2*m + 17*m. Let k(g) = -3*g. Let o(a) = -2*h(a) - 7*k(a). Let y(c) = -4*c**2 + 12*c + 24. Let d(i) = 16*o(i) - y(i). Factor d(f).
4*(f - 2)*(f + 3)
Let n(q) be the third derivative of -q**6/75 - 97*q**5/150 + 334*q**4/15 + 68*q**3/3 + 1058*q**2. Suppose n(i) = 0. What is i?
-34, -1/4, 10
Let x(m) be the second derivative of -1/120*m**6 + 64*m + 1/16*m**4 + 0 + m**2 - 1/20*m**5 + 7/12*m**3. Solve x(o) = 0 for o.
-4, -1, 2
Let s(z) be the second derivative of -z**5/50 + 89*z**4/10 - 1161*z**3 - 10935*z**2 + 1182*z. Factor s(d).
-2*(d - 135)**2*(d + 3)/5
Let v = -1539 + 1539. Let x(i) be the first derivative of -14 + 0*i**3 - 3/8*i**4 + v*i + 1/4*i**2 - 1/5*i**5. Find a such that x(a) = 0.
-1, 0, 1/2
Let i(h) = -2*h**2 + 67*h - 408. Let d be i(8). Factor -1/3*s**