**3*(3*i + 1)
Let x be (-5166)/(-328) - 16 - (257/(-4) + 2). Suppose 14/3*d**4 - x*d**3 + 38/3*d**2 + 62*d - 52/3 = 0. Calculate d.
-1, 2/7, 1, 13
Let i = 32 + -29. Let s(r) = -8*r**2 - 16*r - 15. Let l(g) = 4*g**2 + 8*g + 7. Let x = 19 + -12. Let z(f) = i*s(f) + x*l(f). Find a, given that z(a) = 0.
-1
Determine v so that -341*v**4 - 36576*v - 10368 + 350*v**4 - 429*v**2 + 1289*v**3 + 46075*v**2 = 0.
-72, -2/9, 1
Let x(d) = -27*d**2 + 301*d - 554. Let y(n) = 24*n**2 - 297*n + 552. Let v(t) = 9*x(t) + 10*y(t). Factor v(f).
-3*(f - 2)*(f + 89)
Let f(l) be the third derivative of l**8/210 + 61*l**7/105 - 43*l**6/15 + 71*l**5/15 - 4*l**4/3 - 79*l**3/15 - 2627*l**2. Determine u, given that f(u) = 0.
-79, -1/4, 1
Let a be (-18)/(-27)*(0 + 2 + 1). Factor -3*d - 6*d - 7 + 6*d**2 - 36*d**3 + 45*d - 38*d**2 - a*d**4 + 41.
-2*(d - 1)*(d + 1)**2*(d + 17)
Let j(d) = -4*d**2 - 6*d + 7. Let t(f) = -f**2 - 19 - 24 + 44 - 2*f. Let y(w) = j(w) - 3*t(w). Factor y(i).
-(i - 2)*(i + 2)
Let q be ((-10)/24)/((45/8)/((-99)/132)). Let g(d) be the first derivative of -1/6*d**2 + 9 - 1/6*d - q*d**3. Factor g(s).
-(s + 1)**2/6
Let -27/2*b**3 + 3/4*b**5 - 51*b**2 - 237/4*b - 45/2 + 3/2*b**4 = 0. What is b?
-3, -2, -1, 5
Suppose -23*q + 0 + 0 = 0. Let w(m) = 2*m**2 + 13*m. Let g be w(q). Factor g*d - 2/7 + 2/7*d**2.
2*(d - 1)*(d + 1)/7
Suppose -2*x + 7 = -3*n - 4, -x + 5*n = -2. Suppose -2*p - 20 = -x*p. Factor -p*w**2 - 3*w - 14*w + 5*w - 8.
-4*(w + 1)*(w + 2)
Let i(n) = 33*n - 167. Let p be i(5). Let v be -1 + 2/(p + 4). Find x such that v*x**2 - 1/6 - 1/3*x**3 + 1/6*x**4 + 1/3*x = 0.
-1, 1
Suppose 40*a + 10 = 30*a. Let s(q) = -9*q**4 + 6*q**2 - 6*q. Let d(w) = 2*w**4 + w**3 - w**2 + w. Let l(c) = a*s(c) - 3*d(c). Let l(m) = 0. Calculate m.
-1, 0, 1
Suppose -22*s**2 - 416/5*s - 408/5 - 2/5*s**3 = 0. What is s?
-51, -2
Let i(s) be the second derivative of s**4/15 + 32*s**3/15 + 126*s**2/5 - s - 316. Solve i(t) = 0.
-9, -7
Let p(a) = a**4 - a**3. Let r = 24 - 25. Let n(g) = g**4 - g**3 - 6*g**2 + 2*g + 4. Let f(w) = r*n(w) - p(w). Factor f(x).
-2*(x - 2)*(x - 1)*(x + 1)**2
Let u(d) be the third derivative of d**5/15 - 919*d**4/6 + 612*d**3 - 5*d**2 - 59*d - 2. Factor u(m).
4*(m - 918)*(m - 1)
Let j(n) be the first derivative of -3*n**4/28 - 8*n**3 - 162*n**2/7 + 562. Factor j(q).
-3*q*(q + 2)*(q + 54)/7
Let k(j) be the first derivative of j**3/3 + 143*j**2/2 - 144*j - 457. Factor k(y).
(y - 1)*(y + 144)
Let v(m) be the first derivative of 0*m**3 - 15/2*m**2 - 18 + 5/4*m**4 - 10*m. Factor v(q).
5*(q - 2)*(q + 1)**2
Let o(s) = -s**4 + s**3 + s**2 + 5. Let t(w) = -8*w**4 + 26*w**3 - 16*w**2 - 64*w + 122. Let m(u) = -20*o(u) + 2*t(u). Let m(k) = 0. Calculate k.
-9, -2, 1, 2
Let v = 3807/20 - 2834/15. Let y(o) be the second derivative of 0 + 23*o - 3/2*o**2 + v*o**3 - 5/24*o**4. Factor y(k).
-(k - 3)*(5*k - 2)/2
Let q(o) = -5*o**4 - 574*o**3 + 1163*o**2 - 573*o + 11. Let a(w) = w**4 + 115*w**3 - 233*w**2 + 115*w - 2. Let c(m) = 33*a(m) + 6*q(m). Factor c(r).
3*r*(r - 1)**2*(r + 119)
Let d = 32907/242 + -136. Let x = d - -24215/726. Determine j, given that 152/3*j**2 - x*j**3 - 4/3*j**5 - 112/3*j + 32/3 + 32/3*j**4 = 0.
1, 2
Let q(w) be the first derivative of -w**4/6 + 22*w**3/9 - 26*w**2/3 + 32*w/3 + 3547. Factor q(z).
-2*(z - 8)*(z - 2)*(z - 1)/3
Let y(p) be the second derivative of p**7/15120 - p**6/135 + 16*p**5/45 - 4*p**4/3 - p**3/6 + 63*p. Let g(n) be the third derivative of y(n). Factor g(u).
(u - 16)**2/6
Let o = 18099 + -18099. Let u(h) be the second derivative of 3/16*h**4 + 1/4*h**3 + 3/80*h**5 + 0*h**2 + 34*h + o. Factor u(m).
3*m*(m + 1)*(m + 2)/4
Let x be (-1)/((-4)/24*1). Let k(j) = -14*j**2 + 28*j - 2. Let h(m) = 14*m**2 + 4*m**2 - 4*m**2 - 27*m - 3 - 2 + 8. Let u(f) = x*h(f) + 5*k(f). Factor u(r).
2*(r - 1)*(7*r - 4)
Let b(a) be the third derivative of a**6/120 + 3*a**5/20 + 4826*a**2. Let b(f) = 0. What is f?
-9, 0
Factor 719*u**3 + 208*u**2 - 432*u**3 + 180*u + 244*u - 289*u**3.
-2*u*(u - 106)*(u + 2)
Let q(t) be the first derivative of 2*t**5/5 - 47*t**4/2 + 1406*t**3/3 - 3249*t**2 + 1801. Factor q(s).
2*s*(s - 19)**2*(s - 9)
Let u(a) be the third derivative of 11*a**5/20 - 19*a**4 - 14*a**3 - 30*a**2 - 5*a. Factor u(b).
3*(b - 14)*(11*b + 2)
Factor 104645 + 826*p + p**2 + 33020 + 158271 + 262*p.
(p + 544)**2
Let r(q) = 23*q + 45. Let y be r(7). Let u = 208 - y. Factor 3/2*w**u + 3/2*w - 3/2*w**4 - 3/2*w**3 + 0.
-3*w*(w - 1)*(w + 1)**2/2
Let i(j) = -j**3 + 2*j**2 - j. Let k(h) = 19*h**3 + 9*h**2 - 3*h. Let d(t) = -6*i(t) + 2*k(t). Factor d(p).
2*p**2*(22*p + 3)
Let o = -81/22 - -2625/704. Let h = o - -497/320. Suppose 18/5 - h*c**3 - 4/5*c**2 + 2/5*c**4 + 24/5*c = 0. What is c?
-1, 3
What is z in 42*z**2 - 3/2*z**3 - 312 - 66*z = 0?
-2, 4, 26
Suppose 0 = 3*v - 3*j - 2193, -2*v - 3*j = -20 - 1437. Let z = -730 + v. Determine f, given that z*f - 5/4*f**3 + 0 - 1/4*f**2 = 0.
-1/5, 0
Let d be ((-45)/(-30))/((-1)/(-2)). Suppose -4*g = 4*q - 196, 0 = 7*g - 6*g - d*q - 45. Suppose -12*y + g + 3/4*y**2 = 0. What is y?
8
Let a(u) be the third derivative of 2*u**7/105 + 13*u**6/15 - 407*u**5/15 + 1152*u**2. Find f, given that a(f) = 0.
-37, 0, 11
Let m(v) = -7*v**2 + 1336*v - 29048. Let o = 599 - 604. Let i(f) = -5*f**2 + 890*f - 19365. Let g(c) = o*m(c) + 8*i(c). Determine a, given that g(a) = 0.
44
Let k be (16 - (-2430)/(-153))*17. Factor 8/7*b + 2/7*b**k - 10/7.
2*(b - 1)*(b + 5)/7
Let -4153*o**3 - 14038*o**4 + 28376*o**4 - 2954*o**3 - 4*o**5 - 22545*o**2 - 13989*o**4 + 6075*o = 0. What is o?
-3, 0, 1/4, 45
Let o(j) be the first derivative of j**4/20 - 683*j**3/15 + 11628*j**2 + 116964*j/5 + 985. Suppose o(f) = 0. Calculate f.
-1, 342
Let s(l) be the third derivative of -l**8/336 - 3*l**7/70 + 23*l**6/15 - 176*l**5/15 + 16*l**4 + 640*l**3/3 + 2*l**2 - 879*l. Factor s(a).
-(a - 4)**3*(a + 1)*(a + 20)
Let h(s) be the third derivative of -s**8/3360 - s**7/140 - s**6/15 - 4*s**5/15 - 4*s**4 - 106*s**2. Let r(i) be the second derivative of h(i). Factor r(x).
-2*(x + 1)*(x + 4)**2
Let v = 125 + -123. Factor 1040*i - 100*i**2 - 188*i**2 + 20*i**3 + 960 - 63*i**v + 46*i**2.
5*(i - 8)**2*(4*i + 3)
Let q = -109/866 - -1629/6062. Factor -8/7*h**2 + 50/7 - 5/7*h - q*h**3.
-(h - 2)*(h + 5)**2/7
Let d(l) be the third derivative of -1/510*l**5 + 0*l**4 + 0 + 0*l**3 + 1/1785*l**7 + 0*l + 72*l**2 + 0*l**6. Factor d(k).
2*k**2*(k - 1)*(k + 1)/17
Factor -5*u**4 - 1025*u**2 + 750*u - 440/3*u**3 + 0.
-5*u*(u + 15)**2*(3*u - 2)/3
Let r(q) = 3*q**2 + 6*q + 7. Let p be r(-3). Suppose j + y = 3*y - 2, -5*j + p = 3*y. Solve 8*b - 58 + 58 + 10*b**3 + 24*b**j = 0 for b.
-2, -2/5, 0
Let j(z) be the third derivative of -1/60*z**6 - z**2 + 0 - z**3 + 0*z + 5/12*z**4 - 1/30*z**5. Factor j(l).
-2*(l - 1)**2*(l + 3)
Let c(z) be the second derivative of z**6/45 - 101*z**5/30 + 299*z**4/2 - 6811*z**3/9 - 9604*z**2/3 - 20*z. Let c(j) = 0. What is j?
-1, 4, 49
Let s(j) be the second derivative of -4*j + 0 + 1/2*j**4 + 0*j**2 - 1/6*j**3. Let r(l) = 7*l**2 - 2*l + 1. Let m(c) = -5*r(c) + 6*s(c). Solve m(g) = 0.
-5, 1
Let n(t) be the first derivative of -56 - 1/18*t**3 + 2/3*t + 1/4*t**2. Solve n(b) = 0.
-1, 4
Let g be 596/(-6) + -1 - (-7)/21. Let t = 102 + g. Find s, given that t + 5*s - 7/2*s**2 + 9/2*s**5 - 53/4*s**3 - 9/4*s**4 = 0.
-1, -2/3, -1/2, 2/3, 2
Let g(w) = 20*w - 472. Let y be g(17). Let f be (-16)/14*231/y. Find x such that 0 - 3/8*x**3 - 3/8*x**f + 0*x = 0.
-1, 0
Suppose 16*b + 18*b - 9*b = -11*b. Solve 0*r**2 + b + 0*r + 3/7*r**4 + 2/7*r**3 + 1/7*r**5 = 0.
-2, -1, 0
Let u(l) be the first derivative of l**6/6 - 22*l**5/5 + 87*l**4/2 - 608*l**3/3 + 905*l**2/2 - 450*l - 4470. Determine f so that u(f) = 0.
1, 2, 5, 9
Let u be (-5)/4*168/(-315)*5/10. Let d(l) be the second derivative of -8*l**2 - 2*l**3 - 2*l + u*l**4 + 0. Solve d(y) = 0.
-1, 4
Let i(w) be the third derivative of 41*w - 1/21*w**7 - 5/336*w**8 + 15/8*w**4 + 0*w**3 - w**2 + 3/2*w**5 + 0 + 1/3*w**6. Find b such that i(b) = 0.
-3, -1, 0, 3
Solve -5765*v + 6647045/2 + 5/2*v**2 = 0 for v.
1153
Let x(i) be the second derivative of -i**5/90 - i**4/3 - 65*i**3/27 + 28*i**2/3 - 1672*i. Factor x(n).
-2*(n - 1)*(n + 7)*(n + 12)/9
Let 379/2*g + 143641/2 + 1/8*g**2 = 0. Calculate g.
-758
Let q(m) be the second derivative of m**5/30 + 