/3 - 25*j**4/4 - 185*j**3/9 + 85*j**2/2 - 548. Let t(z) = 0. What is z?
-3, 0, 1, 17
Suppose 172*j - 83*j = 623. Let t(z) be the second derivative of 0 + 0*z**6 + 0*z**4 - 1/56*z**j + 0*z**3 + 0*z**2 + 15*z + 3/80*z**5. Let t(n) = 0. What is n?
-1, 0, 1
Suppose -80/9*x**2 + 0 + 2/9*x**5 - 64/3*x + 40/9*x**3 + 20/9*x**4 = 0. Calculate x.
-6, -4, -2, 0, 2
Let g(i) be the third derivative of -i**7/70 + i**6/5 + 121*i**5/20 + 14*i**4 + 2*i**2 + 18. Find a such that g(a) = 0.
-7, -1, 0, 16
Let f be (5 - 6) + 31/8 + (-11)/(-88). Let u(d) be the first derivative of 4/9*d + 1/9*d**2 - 2/27*d**f + 5. Factor u(r).
-2*(r - 2)*(r + 1)/9
Suppose -21*s + 105 = -0*s. Determine i so that 2334*i**3 + 5*i**s + 1497*i**3 + 89*i**3 + 280*i**4 = 0.
-28, 0
Let o(i) be the second derivative of -8/15*i**6 + 2/5*i**5 + 5/3*i**4 + 2 - 5/21*i**7 + 26*i + 1/3*i**3 - 2*i**2. Determine s so that o(s) = 0.
-1, 2/5, 1
Let -4/3*d**2 - 44/3 - 235/2*d = 0. What is d?
-88, -1/8
Let h be (((-4)/3)/2)/(1/(-12)). Factor 6 + 1 + 9 + 4*l**2 + 12*l - h.
4*(l + 1)*(l + 2)
Let h be (-12)/(-2) - (-4)/(-14)*7. Solve 0*f**4 - 13*f**h - f**4 + 4*f**4 - 40 + 6*f**5 - f**5 + 20*f - 25*f**3 + 50*f**2 = 0 for f.
-2, -1, 1, 2
Let f(q) be the third derivative of 5*q**8/336 - 5*q**7/42 + q**6/6 - 5*q**2 + 177*q. Factor f(w).
5*w**3*(w - 4)*(w - 1)
Factor -3*q**4 + 2441*q**3 - 399*q**3 + 211*q**3 + 2259*q + 4515*q**2 + 3 - 3.
-3*q*(q - 753)*(q + 1)**2
Let o = 51 - 41. Suppose -o - 20 = -15*b. Factor -18*w + 10*w**2 + 34*w**2 + 14*w**2 - 7*w**b + 9*w**3.
3*w*(w + 6)*(3*w - 1)
Let y(o) be the third derivative of 1/1155*o**7 - 18*o**2 - 7/66*o**4 + 0 - 13/33*o**3 + 2/55*o**5 + 7/330*o**6 + 0*o. Find f such that y(f) = 0.
-13, -1, 1
Let v(a) be the first derivative of a**3/18 - 1027*a**2/6 + 1054729*a/6 - 2028. Factor v(l).
(l - 1027)**2/6
Let u(v) be the third derivative of -v**6/360 + v**5/30 - v**4/8 - 2*v**3/3 + 2*v**2 + 67. Let q(m) be the first derivative of u(m). Factor q(o).
-(o - 3)*(o - 1)
Let t(h) = -2*h**3 - 7*h**2 - h. Let r(d) = 55*d**3 + 3460*d**2 - 528095*d. Let l(v) = r(v) + 30*t(v). Suppose l(n) = 0. What is n?
0, 325
Let a be (-140)/105*(1*-2 + -1). Suppose -11 = -4*h + 2*b - 7, h + a*b - 19 = 0. Find k, given that 2/7*k**5 - 6/7*k + 4/7*k**2 + 4/7*k**h + 2/7 - 6/7*k**4 = 0.
-1, 1
Let t = -14854 + 14856. Let l(v) be the first derivative of -15/2*v**t + 4*v**3 + 3*v + 1. Factor l(i).
3*(i - 1)*(4*i - 1)
Solve 0 + 58/5*h**2 - 4/5*h**3 - 2/5*h**4 - 84/5*h = 0 for h.
-7, 0, 2, 3
Suppose -3*c + 7 = -j, 3*j - 27 = 5*c - 8*c. Suppose 5*b = 3*w + c, 0*b + 12 = 3*w + 3*b. Factor -8*t + 2/3*t**w + 24.
2*(t - 6)**2/3
Let i(p) = -11*p**2 - 366*p - 85. Let g(v) = -4*v**2 - 122*v - 30. Let y(d) = -17*g(d) + 6*i(d). Factor y(w).
2*w*(w - 61)
Let a(z) be the second derivative of -z**4/24 + 917*z**3/12 - z + 520. Find p, given that a(p) = 0.
0, 917
Factor -352 - 943*d**3 + 241*d**3 + 227*d**3 + 238*d**3 - 26*d**2 + 235*d**3 + 380*d.
-2*(d - 8)*(d - 1)*(d + 22)
Let a(o) be the first derivative of o**7/70 - o**5/10 + o**3/2 - 5*o**2/2 - 5*o + 67. Let m(d) be the second derivative of a(d). Factor m(k).
3*(k - 1)**2*(k + 1)**2
Determine r so that 225/8 + 87/8*r**2 + 309/8*r + 3/8*r**3 = 0.
-25, -3, -1
Find u such that -20*u**4 - 9312*u**3 - 960*u**2 + 980 - 3925*u + 4164*u**3 + 9073*u**3 = 0.
-1, 1/4, 1, 196
Determine s, given that -142/5*s + 408/5 + 2/5*s**2 = 0.
3, 68
What is v in -v**2 + 0*v**2 + 176*v**3 - 5*v**4 + 650*v - 826*v**3 - 4*v**2 + 10*v**2 = 0?
-130, -1, 0, 1
Let z(m) = 19*m + 141. Let c be z(-7). Let i be 7/c + (-9)/18. Factor 0*v - 3/8 + i*v**2.
3*(v - 1)*(v + 1)/8
Let d = -19890 - -219114/11. Let o = 1329/44 - d. Factor 3/4*s**2 - 3/2*s**3 + 0*s + o*s**4 + 0.
3*s**2*(s - 1)**2/4
Let n(k) be the first derivative of 178 + 21/19*k**2 - 40/19*k - 2/57*k**3. Factor n(c).
-2*(c - 20)*(c - 1)/19
Suppose -n = -5*g + 3*g - 50, -58 = -n - 2*g. Solve 180*f**3 - 2*f**2 - n*f**5 + 205*f**5 + 166*f**4 + 10*f**2 - 111*f**5 - 16*f = 0 for f.
-2, -2/5, 0, 1/4
Let r be (-4)/(-38) + 605/209. Let d(q) be the second derivative of 24*q**2 - 64/3*q**r + 0 + 5/3*q**4 - 19*q. Factor d(x).
4*(x - 6)*(5*x - 2)
Let l be 57/(-15) - 6/30 - -8. Let r(z) be the first derivative of 1/5*z**6 + 14 + 0*z**3 + 3/20*z**l + 0*z**2 - 9/25*z**5 + 0*z. Find c such that r(c) = 0.
0, 1/2, 1
Suppose 2*z = 5*d + 6, -1941*d = -1937*d - 2*z + 6. Let r(n) be the second derivative of -1/20*n**4 - 13*n + 0*n**3 + d + 6/5*n**2. Let r(b) = 0. What is b?
-2, 2
Factor 3524/3*g + 5284/9 + 588*g**2 + 4/9*g**3.
4*(g + 1)**2*(g + 1321)/9
Let q(j) = -j**3 + 42*j**2 + 137*j + 96. Let c(i) = 4*i**3 - 128*i**2 - 410*i - 285. Let k(o) = -6*c(o) - 21*q(o). Factor k(v).
-3*(v + 1)*(v + 3)*(v + 34)
Suppose -4*x = y + 76, 87*x - 4*y - 4 = 88*x. Let m be 7 + (35/(-12) - (-15)/x). Let 10/3*f**2 - m*f**4 + 2/3*f**5 + 10/3*f**3 - 4*f + 0 = 0. Calculate f.
-1, 0, 1, 2, 3
Suppose -4*x = -h - 41, 0 = -5*x + 5*h + 83 - 13. Let w be 4/(x/(36/8)). Factor w + 30*p - 2 - 5 - 45*p**2.
-5*(3*p - 1)**2
Let c be -2 + (-1448)/(-22) + 14/77. Solve 548*y**5 - 16*y**3 + 64*y**2 - 7*y**4 + 128*y + 0*y**3 + 3*y**4 - 552*y**5 - 16*y**4 + c = 0 for y.
-2, -1, 2
Suppose 404/7*t + 0 + 2/7*t**2 = 0. Calculate t.
-202, 0
Let d = -2/60212069 + 94954438003/156250319055. Let b = -4/519 + d. Factor -12/5 - b*o**2 + 3*o.
-3*(o - 4)*(o - 1)/5
Suppose i - 8 + 6 = 0. Suppose -50*q**2 - 12*q - 24*q**3 + 2*q**5 + 82*q**i + 2*q**5 = 0. What is q?
-3, 0, 1
Let d(n) be the second derivative of n**4/60 + 39*n**3 + 68445*n**2/2 - 90*n. Suppose d(x) = 0. Calculate x.
-585
Let o(u) be the second derivative of u**4/66 + 166*u**3/33 + 489*u**2/11 + 561*u. Determine v so that o(v) = 0.
-163, -3
Factor -1/10*g**2 - 148/5 - 15*g.
-(g + 2)*(g + 148)/10
Suppose 8*v + 19 = p + 3*v, 226 = 24*p - 5*v. Let h(i) be the third derivative of 0 - 1/24*i**6 + 0*i**5 + 5/6*i**4 + 0*i**3 + 0*i + p*i**2. Factor h(x).
-5*x*(x - 2)*(x + 2)
Let o = 33 - 15. Let z = 18 - o. Factor 12 - 2*n**2 + 4*n + z*n - 7*n + n.
-2*(n - 2)*(n + 3)
Let i(d) = -15*d - 3. Let x be i(2). Let v = x - -36. Solve 29*y**3 - 3*y**2 - 7*y**3 - v*y**4 - 16*y**3 = 0.
0, 1
Let l = -49 - -51. Let i(x) = -2*x - 2*x**3 - 2 + 6*x**2 + 2*x**2 + 4*x**2 - 6*x**l. Let n(a) = a**3 - a**2 - a - 1. Let r(o) = -i(o) + 2*n(o). Factor r(s).
4*s**2*(s - 2)
Let j(u) be the third derivative of u**6/240 - 37*u**5/80 + 1387*u**4/96 - 111*u**3/4 - 73*u**2 + 43*u. Determine v, given that j(v) = 0.
1/2, 18, 37
Suppose 17*j - 16*j - 19 = -4*a, -30*j + 102 = 3*a. Solve -1/4*f**5 - 1/2*f**a + 7/4*f + 1/2 + 2*f**2 + 1/2*f**3 = 0.
-1, 2
Factor 0 + 14/3*g**3 + 0*g + 4*g**2.
2*g**2*(7*g + 6)/3
Let j(x) be the third derivative of x**8/1680 - x**7/1050 - 3*x**6/40 + x**5/12 + 25*x**4/6 - 1999*x**2. Suppose j(s) = 0. What is s?
-5, -4, 0, 5
Let b be 5012/294 - 36/108. Factor b*j + 54/7*j**2 + 60/7 - 3/7*j**3.
-3*(j - 20)*(j + 1)**2/7
Let n(y) = 17*y**3 - 4*y**2 - 16*y + 16. Let i(b) = -9 + 4*b**3 - 4*b + 23 - 10 + b**2 - 2*b**2. Let s(g) = -26*i(g) + 6*n(g). Suppose s(d) = 0. What is d?
-2, 1, 2
Let j(o) be the third derivative of -136*o**2 - 7/330*o**6 + 0 - 1/231*o**7 + 0*o + 1/110*o**5 + 0*o**4 + 0*o**3. Factor j(p).
-2*p**2*(p + 3)*(5*p - 1)/11
Suppose 0*o = -5*o + 2360. Let f be o/60 + 10/75. Let -14*v**4 + 22*v**4 + 3*v**5 - 3*v**3 - f*v**4 = 0. Calculate v.
-1, 0, 1
Let x be (-504)/(-180) - (-72)/135 - 2. Factor -32/3 - x*n**3 + 16/3*n + 8/3*n**2.
-4*(n - 2)**2*(n + 2)/3
Let b be 3 + 5/((-20)/(-84)). Let h be 12/b + 3/2. Factor 6/5*j**h + 0*j + 4/5*j**3 - 2/5.
2*(j + 1)**2*(2*j - 1)/5
Let n(a) = a + 6. Let d be n(-4). Let k be (0 - -1 - 35/14) + (-828)/(-184). Solve -w**k - 2*w**d + w**3 + 3*w**3 + 18*w**4 - 19*w**4 = 0.
0, 1, 2
Let g be (6/(-15))/(2/(-10)*1). Let o be (2 - 2/4)*g. Let -5*r**2 - 5*r + r**o - 25 + 30 + 4*r**3 = 0. Calculate r.
-1, 1
Let f(g) be the second derivative of -g**6/90 - 11*g**5/60 - 19*g**4/18 - 20*g**3/9 + 2*g - 3745. Factor f(i).
-i*(i + 2)*(i + 4)*(i + 5)/3
Let j(b) be the first derivative of b**6/135 + b**5/30 - b**4/54 - b**3/9 - 7*b + 25. Let f(i) be the first derivative of j(i). Suppose f(w) = 0. Calculate w.
-3, -1, 0, 1
Let m(v) = 7*v**3 - 21*v**2 + 17*v + 3. Let y(f) = 13*f**3 - 39*f**2 + 31*f + 6. Let o(b) = -11*m(b) + 6*y(b). Fac