37*x**3/3 + 5188. Let f(j) = 0. What is j?
-1, 0, 1, 185
Let c(b) = 9*b**3 - 205*b**2 - 640*b + 12. Let x(g) = -8*g**3 + 204*g**2 + 640*g - 16. Let w(u) = -4*c(u) - 3*x(u). What is z in w(z) = 0?
-8/3, 0, 20
Let s = -539/25 - -2171/100. Let i(y) be the third derivative of 0 - s*y**4 - 1/10*y**5 + 0*y + 0*y**3 - 1/525*y**7 - 19*y**2 - 7/300*y**6. Factor i(j).
-2*j*(j + 1)*(j + 3)**2/5
Let j(f) = -3*f + 61. Let p be j(-13). What is v in 50*v**3 - 62*v**4 - p - 80*v + 45*v**4 - 15*v**3 + 95*v**2 + 5*v**5 - 18*v**4 = 0?
-1, 2, 5
Let p = -1659855/68 + 97639/4. What is s in -p*s**5 + 0*s - 4/17*s**4 + 0 - 2/17*s**3 + 0*s**2 = 0?
-1, 0
Let n(z) be the second derivative of -1/120*z**5 + 0 - 5/48*z**4 - 1/3*z**3 + 7/2*z**2 - 10*z. Let v(y) be the first derivative of n(y). Factor v(i).
-(i + 1)*(i + 4)/2
Suppose -2*x - 1404*s = -1405*s - 6, -3*x - 3*s + 27 = 0. Factor 0 + 0*k**3 + 0*k - 3/5*k**4 + 4/5*k**2 + 1/5*k**x.
k**2*(k - 2)**2*(k + 1)/5
Factor 7273 - 2*y**3 - 656 - 2*y**3 + 3963 - 1196*y - 164*y**2.
-4*(y - 5)*(y + 23)**2
Let t(i) be the first derivative of -9/8*i**4 + 36 + 9/20*i**5 + 0*i**2 + 1/8*i**6 + 0*i - 2*i**3. What is g in t(g) = 0?
-4, -1, 0, 2
Let l(d) be the first derivative of d**7/4620 - d**6/1980 - d**5/330 - 79*d**3/3 - 128. Let r(p) be the third derivative of l(p). Factor r(y).
2*y*(y - 2)*(y + 1)/11
Let h(d) be the first derivative of -d**6/15 - 17*d**5/25 + 53*d**4/20 - 22*d**3/15 + 3340. Find b, given that h(b) = 0.
-11, 0, 1/2, 2
Let x be 3080/1694 - ((-13)/11 - -1). Let k(q) be the first derivative of -32 - 1/2*q**4 + 2/3*q**3 + 8*q**x - 24*q. Solve k(z) = 0.
-3, 2
Let n be 49/(-490) - (-1081)/1410. Factor 0*t**2 - 4/3 - 2*t + n*t**3.
2*(t - 2)*(t + 1)**2/3
Let d(x) be the third derivative of 1/45*x**6 + 4*x**2 + 9 - 4*x**3 + 7/15*x**5 + 0*x + 25/18*x**4. Factor d(p).
4*(p + 2)*(p + 9)*(2*p - 1)/3
Suppose 56*v - 3970 - 958 = 0. Factor -v - 63*u**2 + 25*u**2 + 22*u**2 + 36*u + 20*u**2.
4*(u - 2)*(u + 11)
Let s(t) be the second derivative of -5*t**4/12 - 80*t**3/3 - 640*t**2 - t - 423. Let s(q) = 0. Calculate q.
-16
Let t(q) be the first derivative of -q**7/210 - q**6/40 - q**5/20 - q**4/24 + 43*q**2 - 27. Let m(g) be the second derivative of t(g). Factor m(v).
-v*(v + 1)**3
Let o(x) = -15*x**2 + 1260*x + 1105. Let b(l) = l**2 - 90*l - 79. Let w(s) = -85*b(s) - 6*o(s). Suppose w(g) = 0. What is g?
-17, -1
Let g(k) be the second derivative of -k**6/120 + 17*k**5/40 - 2*k**4 - 85*k**3/3 - 175*k. Let v(o) be the second derivative of g(o). Factor v(j).
-3*(j - 16)*(j - 1)
Let v = 141844 - 992904/7. Suppose -6/7*l**3 - 1/7*l**5 + v*l**2 - 1/7*l + 4/7*l**4 + 0 = 0. Calculate l.
0, 1
Let y be ((-5)/(-27)*3)/(620/744)*3. Suppose -3/5*t**3 + 375 - 405*t + 153/5*t**y = 0. Calculate t.
1, 25
Let b(v) be the first derivative of 0*v + 104 + 0*v**2 + 1/16*v**4 + 1/4*v**3. Factor b(o).
o**2*(o + 3)/4
Let s be -104*(6/4 + -2). Let c = s - 43. Factor 148*f + 33*f**3 - 118*f + c*f**3 - 68*f**2 - 4.
2*(f - 1)*(3*f - 1)*(7*f - 2)
Let s(f) = -108*f + 756. Let a be s(7). Let c(n) be the first derivative of 2/13*n**2 + 2/39*n**3 - 16 + a*n. Factor c(p).
2*p*(p + 2)/13
Let w = 52 - 45. Solve 9 - w*c**3 - c**2 + 2*c + c + 4*c**3 - 2*c**2 - 6*c**2 = 0.
-3, -1, 1
Let k(w) = -16*w**3 - 19*w**2 + 41*w + 3. Let o(t) = 4*t**3 - 7*t**2 + t - 1. Let p(m) = k(m) + 3*o(m). Factor p(l).
-4*l*(l - 1)*(l + 11)
Let q(b) be the first derivative of b**4/14 + 566*b**3/7 + 240267*b**2/7 + 45330374*b/7 + 1627. Factor q(l).
2*(l + 283)**3/7
Suppose -4*x + 4*b = 0, 0 = 3*x - 3*b + b - 2. Suppose -q + 15 = x*q. Let 3*d**3 + 2*d**3 + 0*d**q - 4*d**5 - 5*d**4 - d**5 + 5*d**2 = 0. What is d?
-1, 0, 1
Factor -16/5*u + 57/5 - 1/5*u**2.
-(u - 3)*(u + 19)/5
Factor -g**5 - 1844164 + 12922*g**4 - 5535208*g - 7521*g**4 - 1852315*g**3 - 5540641*g**2 - 8120*g**4.
-(g + 1)**3*(g + 1358)**2
Let s(n) = 12*n**2 - 7707*n + 4945998. Let u(g) = -15*g**2 + 7708*g - 4946008. Let f(z) = 4*s(z) + 3*u(z). Factor f(a).
3*(a - 1284)**2
Let t(y) be the first derivative of y**3/2 + 27*y**2 - 351*y/2 + 178. Solve t(n) = 0.
-39, 3
Let d(l) be the first derivative of 17*l**4/38 + 32*l**3/3 + 1341*l**2/19 - 324*l/19 + 924. Factor d(z).
2*(z + 9)**2*(17*z - 2)/19
Let 4*c**4 - 84*c**2 + 160 + 88*c + 19*c**3 - 40*c**3 + 13*c**3 = 0. Calculate c.
-4, -1, 2, 5
Factor -158/13 + 12*g + 2/13*g**2.
2*(g - 1)*(g + 79)/13
Let h(f) be the first derivative of f**6/18 + 38*f**5/5 + 3359*f**4/12 + 6158*f**3/9 - 560*f**2 - 6272*f/3 + 12023. Let h(k) = 0. Calculate k.
-56, -2, -1, 1
Suppose 88 - 36 = 13*l. Suppose 4*g**5 - 2*g**4 - 6*g**4 - 5*g**4 + 5*g**4 + l*g**3 = 0. Calculate g.
0, 1
Let v(c) be the second derivative of 5*c**4/84 + 17*c**3/14 + 54*c**2/7 - 5784*c - 1. What is d in v(d) = 0?
-36/5, -3
Let a(j) be the first derivative of -j**5/50 - 6*j**4/5 - 23*j**3/5 - j**2 - 16*j + 59. Let z(p) be the second derivative of a(p). Suppose z(i) = 0. What is i?
-23, -1
Let y(i) be the third derivative of i**6/96 + 29*i**5/120 - i**4/4 - 41*i**2 + 3*i - 3. Find x, given that y(x) = 0.
-12, 0, 2/5
Factor 2001*x**4 + 1060*x**3 + 3*x**2 + 3*x**2 - 1965*x**4 - 985*x**3.
3*x**2*(x + 2)*(12*x + 1)
Suppose -3*g + 6 = 4*r, 5*g + r = -2*r + 10. Suppose 13*k - 67*k + 103 + 59 = 0. Factor 0 - 1/5*n**k + 1/5*n + 0*n**g.
-n*(n - 1)*(n + 1)/5
Let z(b) be the second derivative of 1/6*b**4 + 3*b**3 + 0 + 14*b**2 + 104*b. Factor z(d).
2*(d + 2)*(d + 7)
Suppose -46*u**2 - 46*u**2 + 639 + 170*u**2 - 81*u**2 + 636*u = 0. Calculate u.
-1, 213
Let k(u) be the third derivative of u**8/10080 + u**7/420 + u**6/45 - 31*u**5/60 - 30*u**2 + 1. Let y(h) be the third derivative of k(h). Factor y(i).
2*(i + 2)*(i + 4)
Suppose 0 = -4*r + 12, 12*v + r = 11*v - 1445. Let l = v + 1448. Factor 15/4*x + 3/8*x**2 + l.
3*x*(x + 10)/8
Suppose 403 = -28*j + 3343. Let x = j - 201/2. Factor 3/4*w**2 - 21/4*w + x.
3*(w - 6)*(w - 1)/4
Let f(m) = m**2 + 8*m - 271. Suppose 0 = -2*w + 3*a - 45, -6*w + 10*w + 80 = -4*a. Let y be f(w). Factor 2/3*c**y - 40/3*c + 200/3.
2*(c - 10)**2/3
Let m(f) be the first derivative of -f**3/15 - 1029*f**2/10 - 2845. Determine y, given that m(y) = 0.
-1029, 0
Let u(t) be the first derivative of 0*t - t**5 - 5*t**4 - 25/3*t**3 + 116 - 5*t**2. Factor u(b).
-5*b*(b + 1)**2*(b + 2)
Suppose -17/4*u**3 + 35/2*u**2 - 1/2*u**4 + 10 - 23*u + 1/4*u**5 = 0. What is u?
-5, 1, 2
What is d in -4069/2*d**2 - 53*d**3 - 33390*d - 1/2*d**4 - 198450 = 0?
-35, -18
Let m = 6245 + -6241. Let u(i) be the first derivative of 0*i + 5/3*i**3 + 17 + 5*i**2 - 5/4*i**m. Determine o so that u(o) = 0.
-1, 0, 2
Suppose 1421*o - 2927*o = -1443*o - 126. Factor -4*z**3 + 0 - 4/5*z**4 - 12/5*z - 28/5*z**o.
-4*z*(z + 1)**2*(z + 3)/5
Let l be 708/48 + -14 - 2*3/8. Let q(b) be the third derivative of 0 + 1/90*b**5 + 39*b**2 + l*b**3 + 1/6*b**4 - 1/180*b**6 + 0*b. Let q(o) = 0. Calculate o.
-2, 0, 3
Let a(y) be the first derivative of 146 - 8/3*y**3 + 0*y + 1/2*y**4 + 2/5*y**5 - 4*y**2. Factor a(j).
2*j*(j - 2)*(j + 1)*(j + 2)
Let y be 247/(-429)*1/(5/(-23)). Let h = 1/55 + y. Find a, given that 2/3*a**2 + 0 + h*a = 0.
-4, 0
Let m(z) = -115*z - 16. Let j be m(-1). Solve 33*p**5 - 12 - j*p**2 - 2*p**5 + 72*p + 99*p**4 - 57*p**3 - 58*p**5 = 0.
-1, 1/3, 2
Let 49*f**4 - 2149*f**3 - 2312*f**2 + 988*f**2 + 1461*f - 396 + 983*f**2 = 0. What is f?
-1, 3/7, 44
Let t(a) be the second derivative of -a**3 + 40*a - 2*a**2 + 0 - 1/6*a**4. Factor t(d).
-2*(d + 1)*(d + 2)
Let m(v) be the first derivative of v**3/3 + 382*v**2 + 145924*v + 1203. Solve m(y) = 0 for y.
-382
Let p(n) = 9*n + 34. Let o be p(1). Solve o*t**2 - 75*t**3 - 70*t**2 - 5*t**4 + 2 - 2 - 213*t**2 + 320*t = 0 for t.
-8, 0, 1
Solve -7*s**3 + 11*s**5 + 7*s**4 + 6*s**4 - 10*s**5 - 16*s - 137*s**2 + 40*s**2 - 62*s = 0 for s.
-13, -2, -1, 0, 3
Let m = 212 + -209. Factor 5*k**m + 16*k**2 + 6*k**2 - 2*k**3 - 4*k**3 - 12*k**2.
-k**2*(k - 10)
Let i be (-10 + (13 - 0))*((-14)/(-210) + 95/75). Suppose -1/5*p**i - 2/5*p + 1/5 + 2/5*p**3 + 0*p**2 = 0. What is p?
-1, 1
Let u(i) be the third derivative of i**7/210 - 469*i**6/60 + 220897*i**5/60 - 18291*i**4 + 36504*i**3 + i**2 + 166*i + 2. Factor u(s).
(s - 468)**2*(s - 1)**2
Let f be ((-10)/21*(-4515)/175)/(192/84) + -5. Suppose f*u**3 + 0*u + 93/8*u**2 + 0 = 0. Calculate u.
-31, 0
