 a(h) = 63*h - 448. Let y be a(16). Let d = y - 558. What is m in 9/4*m**4 - 3*m**3 + 3*m - 3/4 - 3/2*m**d = 0?
-1, 1/3, 1
Suppose -18 = o - 4*n, -2*n - 25 = -7*n. Let l(u) = -4*u**2 + 15*u - 11. Let s(g) = g**2 - 3*g + 2. Let i = 7 - -4. Let x(t) = i*s(t) + o*l(t). Solve x(h) = 0.
0, 1
Let d(q) be the first derivative of 5*q**6/6 - 26*q**5 + 55*q**4 + 490*q**3/3 - 225*q**2/2 - 360*q + 1348. Find g such that d(g) = 0.
-1, 1, 3, 24
Suppose 12/7*n - 3/7*n**2 + 288/7 = 0. What is n?
-8, 12
Let i(f) be the first derivative of 7*f**4/2 - 3448*f**3/3 + 106395*f**2 - 60516*f + 3274. Factor i(k).
2*(k - 123)**2*(7*k - 2)
Suppose -4*g + 5*v - 38 + 13 = 0, 0 = -2*g - 3*v + 15. Suppose g = -10*z + 7*z + 9. Solve 270*o**3 - 264*o**3 + 0*o - o**5 + z*o - 8*o**2 = 0.
-3, 0, 1
Factor 2/7*w**4 - 54/7*w + 0 + 2*w**3 - 6*w**2.
2*w*(w - 3)*(w + 1)*(w + 9)/7
Let d(f) be the first derivative of f**5/20 - 71*f**4/8 + 6457*f**3/12 - 12567*f**2 + 125316*f + 296. Factor d(n).
(n - 59)**2*(n - 12)**2/4
Let r = -921/20 + 2783/60. Let v(p) be the first derivative of 3*p + r*p**3 - 2*p**2 + 25. Factor v(u).
(u - 3)*(u - 1)
Let h be 0 + 8 - (-15 + 19). Let u(v) be the second derivative of 0 - 1/90*v**h - v - 1/15*v**3 + 4/15*v**2. Solve u(f) = 0.
-4, 1
Suppose 16974593/2 + 1/2*k**3 + 771/2*k**2 + 198147/2*k = 0. What is k?
-257
Let x = 52 + -49. Suppose -x*b + 21*b**4 - 3*b**2 + 27*b**4 - 15*b**3 - 54*b**4 + 9*b = 0. Calculate b.
-2, -1, 0, 1/2
Solve 16*g**3 + 3*g**4 - 1/3*g**5 + 0*g + 52/3*g**2 + 0 = 0.
-2, 0, 13
Factor -164/5 + 162/5*f + 2/5*f**2.
2*(f - 1)*(f + 82)/5
Let l be -3 + (-498)/(-915) - (-4 + 1). Let u = l + -21/61. Let -2/5*d**2 - 1/5*d - u*d**3 + 0 = 0. What is d?
-1, 0
Suppose -52*j = -55*j - 4*t + 30, -56 = 5*j - 11*t. Find p, given that 21 + 3/5*p**j - 36/5*p = 0.
5, 7
Let m be (-12664)/30144 - (-1)/8. Let o = 6/157 - m. Determine c so that -2/3*c + 1/3 - o*c**4 + 2/3*c**3 + 0*c**2 = 0.
-1, 1
Let o(i) be the first derivative of -3*i**5/40 + 129*i**4/32 + 11*i**3/2 - 1338. Solve o(w) = 0.
-1, 0, 44
Suppose -5 = 3*d - m, 151*m - 130*m = -d + 297. Let 1/4*a**2 + 1/8*a**4 + 0 + 3/8*a**d + 0*a = 0. Calculate a.
-2, -1, 0
Let x(t) = -7*t**3 - 22*t**2 + 56*t + 48. Let j(v) = 41*v**3 + 131*v**2 - 334*v - 288. Let w(b) = 2*j(b) + 13*x(b). Factor w(g).
-3*(g - 2)*(g + 4)*(3*g + 2)
Suppose 0 = 2*k - 3*m - 68, 151 - 31 = 4*k + 2*m. Let o be (-2)/k - 1998/(-5022). Solve 1/2*j + o + 1/6*j**2 = 0.
-2, -1
Let j be 1*(85/68*(-32)/(-10) + -2). Find t such that -4*t - 3/5*t**5 - 37/5*t**3 + 4/5 + 39/5*t**j + 17/5*t**4 = 0.
2/3, 1, 2
Let i be 1 + (-1 - (1 + -16)). Let p = 3754840/21 - 1251604/7. Find q, given that -p - 28/3*q - i*q**2 = 0.
-2/5, -2/9
Suppose -4*y = -12*y + 3720. Suppose 3*n - r - y = 0, 4*n + 3*r - r - 610 = 0. Solve -n*o**2 + 77*o**2 + 1 + 76*o**2 = 0 for o.
-1, 1
Suppose -5*d = -3*a + 4*a - 22, -5*a = -2*d + 25. Let g be (-2 + (7 - d))/2. Factor -2/3*i + g - 2/9*i**2.
-2*i*(i + 3)/9
Let y(j) be the third derivative of -j**5/120 - 1063*j**4/48 + 266*j**3/3 - 123*j**2 - 23*j. Suppose y(f) = 0. What is f?
-1064, 1
Suppose -24*a + 1144 = 1288*a - 104*a - 1272. Let 3 + 1/2*f**5 + 0*f**3 - 5*f**a - 1/2*f + 2*f**4 = 0. What is f?
-3, -2, -1, 1
Let s = -15163 + 15165. Factor 8 + s*k**3 + 34/3*k**2 + 56/3*k.
2*(k + 2)*(k + 3)*(3*k + 2)/3
Let r(p) = 632*p + 37295. Let w be r(-59). Solve w - 4/3*v - 1/3*v**2 = 0.
-7, 3
Let d(n) be the third derivative of -n**6/24 + 31*n**5/6 + 635*n**4/24 + 160*n**3/3 + 11*n**2 - 8*n - 3. Solve d(v) = 0.
-1, 64
Let a(z) = -z**3 - z**2 + z + 3. Let l(x) = 4*x**4 + 110*x**3 + 590*x**2 - 14*x - 42. Let d(f) = -14*a(f) - l(f). Factor d(y).
-4*y**2*(y + 12)**2
Let l(h) be the first derivative of 6*h - 2/15*h**4 - 1/5*h**3 + 1/50*h**5 - 16 + 18/5*h**2. Let v(x) be the first derivative of l(x). Factor v(y).
2*(y - 3)**2*(y + 2)/5
Let q(y) = -y**3 + 6*y**2 + y - 3. Let a be q(6). Suppose a*m - 5 = j + 5, -2*m = -4*j. Suppose j + 0*f - f**2 - 4*f + f + 2*f = 0. Calculate f.
-2, 1
Let x(f) be the second derivative of -f**7/4410 - f**6/420 - 17*f**4/4 + 20*f. Let b(d) be the third derivative of x(d). Factor b(n).
-4*n*(n + 3)/7
Let i(h) be the second derivative of -h**6/324 + h**5/270 + h**4/36 + 10*h**3/3 + 3*h**2/2 - 8*h. Let l(s) be the second derivative of i(s). Factor l(k).
-2*(k - 1)*(5*k + 3)/9
Factor 7*q**2 - 219*q**3 - 2*q**2 + 288 + 300*q + 4*q**2 + 216*q**3.
-3*(q - 12)*(q + 1)*(q + 8)
Suppose 5271/5*x**4 - 294/5*x**5 - 408/5 - 3444/5*x - 4119/5*x**3 - 1734*x**2 = 0. Calculate x.
-1/2, -2/7, 2, 17
Let p(z) be the first derivative of z**4/16 - 2195*z**3/12 + 150426*z**2 + 301401*z + 5142. Factor p(c).
(c - 1098)**2*(c + 1)/4
Factor 94 + 141*s - 32*s + 228*s + 10*s**2 - 4*s**2 - 53*s.
2*(s + 47)*(3*s + 1)
Let n(b) be the third derivative of -b**6/30 + 34*b**5/15 - 65*b**4/6 + 64*b**3/3 + 825*b**2. What is h in n(h) = 0?
1, 32
Determine f so that 185*f**2 - 646 - 5*f**3 + 682 + 1022 + 562 - 1800*f = 0.
1, 18
Let g(w) be the third derivative of 3*w**7/140 + 5*w**6/16 - 3*w**5/4 - 25*w**4/4 + 18*w**3 - 2*w**2 - 207. Find h such that g(h) = 0.
-9, -2, 2/3, 2
Let i(w) be the third derivative of -7*w**6/180 - 149*w**5/90 - 91*w**4/18 - 40*w**3/9 - 15*w**2. Let i(h) = 0. What is h?
-20, -1, -2/7
Let v(u) be the second derivative of u**7/504 + 11*u**6/144 + 5*u**5/12 - 49*u**4/12 - 63*u. Let d(m) be the third derivative of v(m). Factor d(g).
5*(g + 1)*(g + 10)
Let c(y) = 125*y**4 - 1091*y**3 + 25211*y**2 - 188182*y - 11. Let w(s) = 45*s**4 - 364*s**3 + 8404*s**2 - 62728*s - 4. Let v(f) = 4*c(f) - 11*w(f). Factor v(q).
5*q*(q - 28)**2*(q - 16)
Let q(r) be the third derivative of -r**7/1365 + r**6/60 - 7*r**5/65 + 32*r**2 + 14. Factor q(z).
-2*z**2*(z - 7)*(z - 6)/13
Suppose -4*a - 52 = 123*o - 128*o, 4*a - 7*o + 76 = 0. Solve -3/2*i + 1/2*i**a - 5 = 0.
-2, 5
Let t(u) = 3*u**2 + 2*u - 1. Let q be t(1). Let y = -688039/4 - -172010. Factor -5/4*x**q + 5/4*x**2 + y*x + 0 - 1/4*x**3.
-x*(x - 1)*(x + 1)*(5*x + 1)/4
Let n be (-609)/(-30) + (-6)/20. Let w = n - 20. Factor -8/3*i**4 + 8/9*i**3 + 10/9*i**5 + 0*i + 0 + w*i**2.
2*i**3*(i - 2)*(5*i - 2)/9
Let n = 430 + -403. Suppose -357*u**2 + 92*u**3 + 40 + 107*u**2 + 220*u - n*u**3 = 0. What is u?
-2/13, 2
Suppose 0*n - 4*n = -164. Factor -174 + 3*s - 2*s**2 + 214 - n*s.
-2*(s - 1)*(s + 20)
Suppose 0 = -8*u - 5*s + 31, -4*u + 17 = s + 6. Let w(r) be the third derivative of -1/60*r**4 + 0 - 1/150*r**5 + 12*r**u + 0*r + 2/5*r**3. Factor w(a).
-2*(a - 2)*(a + 3)/5
Let v be ((-27)/21*4)/(2/(-406)). Let z be (-8)/(-116) - (-189)/v. Factor 0*p**2 + 0*p + 1/4*p**4 + z*p**3 + 0.
p**3*(p + 1)/4
Let o(l) be the second derivative of 14*l**2 + 1/10*l**5 - 4/3*l**4 + l - 45 + 5/3*l**3. What is t in o(t) = 0?
-1, 2, 7
Let s(r) be the second derivative of -r**4/4 + 73*r**3 - 15987*r**2/2 + 46*r + 18. Suppose s(m) = 0. What is m?
73
Let q(r) = -10*r**4 - 43*r**3 - 171*r**2 + 828*r + 9. Let c(l) = -74*l**4 - 302*l**3 - 1196*l**2 + 5796*l + 66. Let t(j) = 3*c(j) - 22*q(j). Factor t(n).
-2*n*(n - 23)*(n - 3)*(n + 6)
Solve -2*s**3 + 178*s + 891*s**2 + 37*s**3 - 10*s**3 - 8*s**3 - 12*s**3 = 0 for s.
-178, -1/5, 0
Let w = -8457/14 - -25931/42. Suppose -4*x + w - 4/3*x**3 - 8*x**2 = 0. Calculate x.
-5, -2, 1
Let t(u) = -u**2 - 1. Suppose 19*x + 52 = 166. Let n(k) = 3*k**3 - 36*k**2 - 21*k + 582. Let h(y) = x*t(y) - n(y). Factor h(q).
-3*(q - 7)**2*(q + 4)
Let h(z) be the second derivative of -z**6/20 + 27*z**5/40 - 27*z**4/8 + 31*z**3/4 - 9*z**2 - z - 1093. Find j, given that h(j) = 0.
1, 3, 4
Let m = -318748 - -318750. Let z be 1/((-9)/8 - -2). Factor 2/7*h**m + 8/7 + z*h.
2*(h + 2)**2/7
Let d(v) be the second derivative of v**4/16 + 5*v**3/8 + 3*v**2/2 - 233*v. Factor d(s).
3*(s + 1)*(s + 4)/4
Let r(w) be the first derivative of -6*w**2 + 124*w + 8. Let y be r(10). Let 32/7*b**3 + 0 + 4/7*b**2 + 48/7*b**5 + 76/7*b**y + 0*b = 0. Calculate b.
-1, -1/3, -1/4, 0
Let g be ((-180)/(-50))/((-2)/(-150)). Let y be (1 - (-34)/(-10))/((-108)/g). What is h in -4*h - 102*h**2 + y*h + 101*h**2 = 0?
0, 2
Suppose -4*r + 3*h = 3121, 2*r - 12*h = -7*h - 1557. Let l = -1559/2 - r. Solve 3*o + l*o**2 + 3/2 = 0.
-1
Let t = -13039 - -13042. Let l(a) be the second derivative of 0*a**3 - 1/15*a**4 + t*a + 0 + 0*a**2 + 1/100*a**5. Factor l(d).
