 -q + 3*t + 0*t + 3 = 0, 4*q + 36 = -4*t. Let w be i(q). Factor 3*c**2 + c**w - c**3 - 6*c**4 - 3*c**3.
-3*c**2*(c + 1)*(2*c - 1)
Let x(c) be the third derivative of 0 - 118*c**2 - 36*c**3 + 11/30*c**6 - 2/105*c**7 - 3*c**5 + 0*c + 27/2*c**4. Solve x(m) = 0.
2, 3
Let v = 8818855 - 9180427355/1041. Let x = v - 2/347. Factor -8/3*t**3 + 10/3*t**2 + x*t**4 + 0 - 4/3*t.
2*t*(t - 2)*(t - 1)**2/3
Let y(b) = 8*b**4 - 4*b**3 + 8*b. Let r = -31 + 54. Let d(h) = 22 + 7*h**3 - r - 17*h**4 - 33*h + 17*h. Let n(f) = 4*d(f) + 9*y(f). Factor n(u).
4*(u - 1)**3*(u + 1)
Let w(u) be the first derivative of -3*u**4/8 - 19*u**3/2 - 9*u**2 + 162*u + 10033. Find a, given that w(a) = 0.
-18, -3, 2
Let z be (9/(-18))/((-4)/456). Find l, given that -22*l**2 - 3 + 10*l**4 + z*l**3 - 31*l**3 - 26*l + 15 = 0.
-3, -1, 2/5, 1
Let x = -8546/255 + 1750/51. Factor -24/5*n**3 + 0 - 32/5*n + x*n**4 + 48/5*n**2.
4*n*(n - 2)**3/5
Let s(f) be the third derivative of f**8/112 + 25*f**7/14 + 369*f**6/40 + 367*f**5/20 + 61*f**4/4 - 1217*f**2. What is g in s(g) = 0?
-122, -1, 0
Let z(q) be the first derivative of -q**4/20 - 124*q**3/5 - 34221*q**2/10 + 69938*q/5 - 3935. Factor z(v).
-(v - 2)*(v + 187)**2/5
Let a(n) be the first derivative of 4*n**3/15 - 484*n/5 + 5292. Factor a(z).
4*(z - 11)*(z + 11)/5
Suppose -3*h + 5*d = -175, 4*h + 7*d - 4*d = 272. Let -114*i + 34*i + 79 + h + 4*i**2 = 0. Calculate i.
2, 18
Factor 2/7*g - 6/7*g**2 + 20/7.
-2*(g - 2)*(3*g + 5)/7
Let y(b) be the third derivative of b**6/210 + 4*b**5/35 + 29*b**4/42 + 12*b**3/7 + b**2 + 12. Solve y(c) = 0.
-9, -2, -1
Suppose -5*g = 25, -223*w + 222*w - 4*g - 18 = 0. Let d(x) be the second derivative of -17*x + 0 + 0*x**w - 1/8*x**4 + 3/8*x**3. What is i in d(i) = 0?
0, 3/2
Let h = -84 - -96. Let f be h/28 + (5 - -2). Suppose -f*q**3 + 60/7*q**2 - 4*q + 4/7 + 16/7*q**4 = 0. What is q?
1/4, 1
Let p = -14 + 24. Let b be 20/p - 0/2. Determine u, given that 5*u - 5*u**3 + 6*u**2 + 0*u**b - u**2 - 5*u**4 = 0.
-1, 0, 1
Let f(y) = 0*y - 5*y + 8*y + 4 + 13*y**2 - 2 + 6*y. Let q(x) = 2*x**2 + x. Let m(u) = f(u) - 6*q(u). Let m(w) = 0. Calculate w.
-2, -1
Let u(p) be the first derivative of -2352*p**3 - 63*p**4 - 32928*p**2 - 3/5*p**5 + 265 + 0*p. Factor u(n).
-3*n*(n + 28)**3
Let o = 12 - 9. Suppose o*q = 5*j + 6*q - 140, 4*j - q - 112 = 0. Factor -80*f - 16 - j*f**2 + 16*f**3 + 23*f**3 - 3*f**3.
4*(f - 2)*(f + 1)*(9*f + 2)
Let b(j) be the second derivative of -j**7/231 - j**6/33 + 9*j**5/110 + 53*j**4/66 - 8*j**3/33 - 48*j**2/11 - 3*j - 595. What is r in b(r) = 0?
-4, -1, 1, 3
Let j be 1 + 2/(-11) + (-20)/11. Let q be 9*1/j*(-11)/33. What is i in -2*i**2 - 7*i**2 + 9 + 5*i - 485*i**3 + 482*i**q - 2*i = 0?
-3, -1, 1
Let h(k) = -289*k**2 + 197*k + 264. Let u(w) = 128*w**2 - 98*w - 132. Let l(y) = -4*h(y) - 9*u(y). Let l(j) = 0. What is j?
-22, -3/2
Let r(m) be the third derivative of m**5/480 - 5*m**4/24 + 77*m**3/16 - m**2 + m + 136. Let r(o) = 0. What is o?
7, 33
Let t(p) be the third derivative of -p**5/15 - p**4 - 522*p**2. Factor t(x).
-4*x*(x + 6)
Let f be (-1)/((-3)/6) + 1. Suppose -f*o + 2*o = 2*a - 32, 2*o - 3*a = 57. Determine i, given that 5 - 2*i**2 - o - 15 + 30*i - 3*i**2 = 0.
2, 4
Suppose -2*k - 3*i = -31, -9*k + i = -6*k - 19. Let z be 18/72 - (-14)/k. Solve 162/7*a + 54/7 + 22/7*a**4 + 180/7*a**z + 92/7*a**3 + 2/7*a**5 = 0 for a.
-3, -1
Let n(t) be the second derivative of t**3 + 76*t + 0 - 1/12*t**4 + 0*t**2. Factor n(g).
-g*(g - 6)
Let w be (28/48)/((-49)/(-56))*3. Factor -4*x - 6*x**w - x**3 + 1/2*x**5 + 0 + 3/2*x**4.
x*(x - 2)*(x + 1)*(x + 2)**2/2
Let t(b) be the third derivative of 0 + 7/60*b**4 - 27*b**2 - 1/150*b**5 + 0*b**3 + 3*b. Factor t(g).
-2*g*(g - 7)/5
Let s(x) be the third derivative of x**7/14 - 41*x**6/24 - 17*x**5/12 + 205*x**4/24 + 35*x**3/3 + 6*x**2 + x + 8. Let s(y) = 0. What is y?
-1, -1/3, 1, 14
Suppose -267*l + 1297 - 85 = -123. Let y(c) be the second derivative of 2*c**3 + 0*c**2 - 2/3*c**4 + 0 - 1/5*c**l + 11*c. Factor y(u).
-4*u*(u - 1)*(u + 3)
Let q = 659451611/12089946 + -1/1099086. Solve 414/11*x**3 + 0 + q*x + 6/11*x**5 - 84/11*x**4 - 840/11*x**2 = 0 for x.
0, 2, 5
What is t in -1946*t - 5*t**2 + 1025*t + 1026*t = 0?
0, 21
Let y be (-6*141/12)/(9/12). Let q be -4 + 1 + (2 - y). Find a, given that 3 + 25*a**2 + 7*a**2 + 47 - 13*a + q*a = 0.
-5/4
Let y = -154 - -153. Let u(z) = 5*z**2 + z. Let t be u(y). Factor -t*f + 3*f**3 + 2*f + f**2 - 2*f**3 + 0*f.
f*(f - 1)*(f + 2)
Let d be 12/18*-6 + 5. Factor 188*s - 108*s - 50*s**2 + 5*s**3 + 1 - d.
5*s*(s - 8)*(s - 2)
Let v = 31 + -16. Let c = v - 11. Factor 24*d**3 + 17*d - 20*d**4 - 52*d**2 - 16 + 16*d**c + 31*d.
-4*(d - 2)**2*(d - 1)**2
Let l be (-27)/(-9)*(-4)/36*-6. Suppose -6*g = -2*p - 7*g + 9, 10 = l*p + 2*g. Factor 0 + 6*q**2 + 147/2*q**p + 0*q - 42*q**3.
3*q**2*(7*q - 2)**2/2
What is k in 3130/19 + 616/19*k - 2/19*k**2 = 0?
-5, 313
Let n(g) be the second derivative of 17*g**6/225 - 49*g**5/150 - 53*g**4/30 - 103*g**3/45 - 2*g**2/3 - 1842*g. Determine o so that n(o) = 0.
-1, -2/17, 5
Let q(h) be the third derivative of h**7/11340 - h**6/45 + 12*h**5/5 + h**4/24 - 8*h**3 + h**2 + 5*h. Let z(g) be the second derivative of q(g). Factor z(w).
2*(w - 36)**2/9
Let h(n) be the first derivative of n**4/10 - 3038*n**3/15 + 577599*n**2/5 - 1152162*n/5 - 7686. What is d in h(d) = 0?
1, 759
Let p(u) be the first derivative of 64*u**5/5 + 88*u**4 - 220*u**3/3 - 800*u**2 + 1500*u - 6631. Find g, given that p(g) = 0.
-5, -3, 5/4
Factor -1221/2 + 3/4*a**2 + 1215/4*a.
3*(a - 2)*(a + 407)/4
Let c be ((-42)/24 - 0) + 2 + 0. Suppose v - 5*u + 18 = 33, -v + 9 = -3*u. Factor 0*y**3 + v + 0*y**2 - c*y**4 - y**5 + 0*y.
-y**4*(4*y + 1)/4
Let n be 30/14 + (-24)/(-28). Let 8/5*d - 16/5 + 4/5*d**2 - 2/5*d**n = 0. What is d?
-2, 2
Let q(o) be the first derivative of -9/2*o**2 + 104 + 20*o + 1/3*o**3. Suppose q(h) = 0. Calculate h.
4, 5
Let r(l) be the third derivative of -1/90*l**6 + 0*l**3 - 2/945*l**7 + 0 + 0*l**4 + 4/135*l**5 + 19*l**2 - 3*l. Determine p, given that r(p) = 0.
-4, 0, 1
Let n be -3 - (11 + (2 - 18)). Suppose 4*u - 617 = -77. Solve 2*h**n - 3*h + 35*h + u - 4*h - 37 = 0 for h.
-7
Suppose 4*f = 2*f + 6. Let s = -246839/7 + 35265. Factor -8/7 + s*z - 10/7*z**2 + 2/7*z**f.
2*(z - 2)**2*(z - 1)/7
Let c(j) be the third derivative of 1/12*j**5 + 0*j - 3 + 85/3*j**3 + 44*j**2 + 175/24*j**4. Factor c(q).
5*(q + 1)*(q + 34)
Let f(t) = 15*t**2 - 62*t - 2726. Let s(r) = 16*r**2 - 64*r - 2726. Let j(d) = -14*f(d) + 13*s(d). Factor j(a).
-2*(a - 47)*(a + 29)
Let z(l) be the first derivative of -l**4/24 + 2*l**3/3 + 85*l**2/12 + 745. Factor z(x).
-x*(x - 17)*(x + 5)/6
Let t be ((-1)/2)/((-9)/(-30)*(-40)/72). Factor -45*n**2 + 108/5 - 21/5*n**t - 312/5*n.
-3*(n + 2)*(n + 9)*(7*n - 2)/5
Suppose 3*h - 34*g - 107 = -27*g, -110 = -4*h + 7*g. Factor 2 - 9/4*w**2 + 1/4*w**4 - 7/4*w + 7/4*w**h.
(w - 1)**2*(w + 1)*(w + 8)/4
Let i(n) be the first derivative of 2*n**3/15 + 11*n**2 - 780. Factor i(v).
2*v*(v + 55)/5
Let h be (9 - 4)/((-6)/3 - -3). Suppose -4*f + r = -h, 4*r - 8 = 4*f - 2*f. Factor 54*w**3 - 110*w**3 - 18*w + 66*w**3 - f*w**4 - 6*w**2.
-2*w*(w - 3)**2*(w + 1)
Suppose -2*w = 2*f + 16, 35097*w - 35092*w = -3*f - 20. Factor 3/7*b**3 - 30/7 + 9/7*b + 18/7*b**w.
3*(b - 1)*(b + 2)*(b + 5)/7
Let k(w) = -w**4 + 9*w**3. Suppose 27 = 5*y + 2*j, -y + 2*j = -3*j. Suppose y*b - 2 = 23. Let a(d) = -4*d**3. Let z(f) = b*a(f) + 2*k(f). Factor z(p).
-2*p**3*(p + 1)
Factor -480/7 - 1/7*b**4 + 416/7*b - 134/7*b**2 + 19/7*b**3.
-(b - 6)*(b - 5)*(b - 4)**2/7
Let m(y) be the third derivative of y**7/105 + 31*y**6/90 - 26*y**5/15 + 19*y**4/6 - 23*y**3/9 + 48*y**2 - 63*y. Find u such that m(u) = 0.
-23, 1/3, 1
Let i(b) be the second derivative of b**7/420 + b**6/180 - b**5/30 + 55*b**3/2 + 78*b. Let a(u) be the second derivative of i(u). Factor a(l).
2*l*(l - 1)*(l + 2)
Suppose -24*s + 10 = -19*s + 4*a, -3*a = -5*s + 10. Factor 4394 + 30*d**2 - s*d**3 + 12*d**2 + 36*d**2 - 1014*d.
-2*(d - 13)**3
Suppose 326 + 439 = 9*r. Determine w so that -r*w**4 + 74*w**2 - 18 - 70*w + 95*w**3 - 18*w**5 - 7*w**5 - 22 + 51*w**2 = 0.
-4, -1, -2/5, 1
Let r(p) = -p + 7. Let m be r(-5). Let c = m - 6. Factor t**3 - 9*t**3 + 4*t**3 - 2*t**5 - c*t**4.
-2*t**3*(t + 1)*(t + 2)
Let z = -153953/5