. Let f(h) = 0. What is h?
0, 5
Let v(g) = 614*g**3 + 1010*g**2 + 408*g + 48. Let t(b) = 1211*b**3 + 2021*b**2 + 815*b + 95. Let c(s) = -2*t(s) + 5*v(s). Factor c(a).
2*(a + 1)*(18*a + 5)**2
Let y(o) be the first derivative of o**4/16 - o**3 + 6*o**2 + 35*o + 48. Let a(u) be the first derivative of y(u). Factor a(c).
3*(c - 4)**2/4
Let i be (2/12)/(-10*(9 - 20)). Let c(m) be the third derivative of 5/264*m**4 + 0 + 0*m + 0*m**3 + 9*m**2 - i*m**5. Factor c(q).
-q*(q - 5)/11
Let m(t) = t**3 + 4*t**2 - 6*t. Let o be m(-5). Suppose 63*f + 18*f - 162 = 0. Factor j**3 + 3*j - o*j - 44*j**2 + 45*j**f.
j*(j - 1)*(j + 2)
Let u be (378/270)/(329/282). Suppose 3080/3*k + 308/5*k**3 + 1000/3 + u*k**4 + 12458/15*k**2 = 0. Calculate k.
-25, -2/3
Let h(r) be the first derivative of 0*r - 1/5*r**3 - 6/5*r**2 + 158. Determine t, given that h(t) = 0.
-4, 0
Let z = -170 - -178. Factor 36*f**3 - z*f**4 - 136*f**2 - 20*f - 142*f**2 + 302*f**2.
-4*f*(f - 5)*(f + 1)*(2*f - 1)
Let o be -21*(-20)/4900*2/45. Let y(s) be the third derivative of o*s**7 + 0 + 5*s**2 - 4/15*s**4 + 4/75*s**6 - 32/15*s**3 + 1/5*s**5 + 0*s. Factor y(h).
4*(h - 1)*(h + 1)*(h + 4)**2/5
Let z(o) be the second derivative of 5*o**4/12 - 95*o**3/6 - 1656*o. Factor z(w).
5*w*(w - 19)
Suppose 2*f - 3*b + 239 = 195, -4*f - 4*b = -72. Solve -1/4*o - 1 + o**f + 1/4*o**3 = 0.
-4, -1, 1
Suppose -5 = p - 2*u + 5, 2*u = 2*p + 14. Let w be p/(-18) - 286/(-495). Determine v so that w*v**3 + v**2 - 2/5 - 7/5*v = 0.
-2, -1/4, 1
Factor -4/9*i**3 + 7244/3*i + 10868/9 + 3620/3*i**2.
-4*(i - 2717)*(i + 1)**2/9
Suppose -2*o - 118 = -14. Let c be o/(-14) + (-6)/(-21). Factor -4*s**2 - 4*s**2 - 4*s**2 + 13*s**2 - c*s.
s*(s - 4)
Suppose 4*p = 87*p + 147*p - 32*p - 396. Suppose -3*h**p - 1/2 + 25/4*h = 0. What is h?
1/12, 2
Let n = -26 + 97. Let d = n - 67. Let -5*t**3 - 10*t**3 + 6*t**2 - 3*t**d + 27*t + 9*t - 27 + 3*t**3 = 0. What is t?
-3, 1
Let f be 0/(-2 + -19 - (138 + -146)). Let -18*b**2 - 18*b**3 - 6*b**4 + f*b - 2/3*b**5 + 0 = 0. Calculate b.
-3, 0
Factor -4*y**3 + 45418*y - 5*y**3 - 3893440 + 14*y**3 - 1380*y**2 - 1285*y + 82827*y.
5*(y - 92)**3
Let s be (-5)/(-20) - 374/(-8). Let q = 50 - s. Factor -15*y**4 - 39*y**3 - 34*y**q + 68*y**3 + 10*y**2.
-5*y**2*(y + 1)*(3*y - 2)
Let f = -12006 + 36046/3. Let g(u) be the first derivative of 15*u**4 - f*u**3 - 52/5*u**5 + 2*u**2 - 27 + 0*u + 8/3*u**6. Let g(o) = 0. Calculate o.
0, 1/4, 1
Let r be -10 - ((-17 - -6) + 6/(-2)). Let m(d) be the third derivative of 0*d**3 + 0*d - 5/6*d**r + 0 - 1/12*d**5 + 8*d**2. Find q such that m(q) = 0.
-4, 0
Suppose -4*w - 3*q = 171, -4*w + 4*q - 122 = -w. Let l be (1/(-3))/((-208)/w + -5). Solve 30 + 13*g**2 + l*g**2 + 5*g**3 + 128*g - 183*g = 0.
-6, 1
Factor -753992/21 - 14/3*q**2 + 2456/3*q.
-2*(7*q - 614)**2/21
Let c(t) be the third derivative of 0*t**4 + 15*t**2 + 0 + 2*t + 1/630*t**7 + 0*t**5 + 0*t**3 - 1/180*t**6. Solve c(x) = 0 for x.
0, 2
Factor -20/3*o**4 + 0*o**2 + 0 + 0*o + 4/3*o**5 + 8*o**3.
4*o**3*(o - 3)*(o - 2)/3
Let n(s) be the second derivative of s**4/3 - 1617*s**3/2 - 1213*s**2/2 + 1806*s + 2. Factor n(p).
(p - 1213)*(4*p + 1)
Let z(o) be the third derivative of -o**7/1050 + 7*o**6/40 - 2909*o**5/300 + 2669*o**4/40 - 867*o**3/5 + 13*o**2 - 88*o + 1. Factor z(q).
-(q - 51)**2*(q - 2)*(q - 1)/5
Let u(f) be the second derivative of f**5/10 - 47*f**4/12 + 227*f**3/6 - 51*f**2 + 1318*f. Factor u(p).
(p - 17)*(p - 6)*(2*p - 1)
Suppose 21*c - 13*c = 184. Suppose -c*o = -24 - 45. Let 10/9*u**4 + 20/9*u**2 + 20/9*u**o + 2/9*u**5 + 10/9*u + 2/9 = 0. What is u?
-1
Let j(s) be the second derivative of -79*s + 0*s**2 - 1/105*s**7 + 0 + 1/25*s**6 + 9/50*s**5 + 1/6*s**4 + 0*s**3. Factor j(l).
-2*l**2*(l - 5)*(l + 1)**2/5
Let c(n) be the third derivative of n**10/604800 - n**9/40320 + n**8/8960 - 2*n**5/15 + n**4/6 - 63*n**2. Let p(z) be the third derivative of c(z). Factor p(m).
m**2*(m - 3)**2/4
Let k(h) = -15*h**2 + 9*h - 96. Let x(y) = -32*y**2 + 18*y - 190. Let p(v) = 17*k(v) - 8*x(v). Find j such that p(j) = 0.
-16, 7
Let v = -9444 + 9446. Suppose 3*p = -2*b + 2, b + 4 = -2*p + 3*p. Factor 17 - p*i**v - 36 + 2*i + 19.
-2*i*(i - 1)
What is k in 8/3 + 31/6*k**3 + 1/3*k**5 - 5/2*k**4 - 2/3*k**2 - 6*k = 0?
-1, 1/2, 2, 4
Factor 8*s**2 + 120*s + 122*s**2 - 2 + 2 + 360763*s**3 - 5*s**4 - 360758*s**3.
-5*s*(s - 6)*(s + 1)*(s + 4)
Let w = -2111251/11 - -191933. Find t, given that -10/11*t - 2/11*t**3 + w*t**2 + 0 = 0.
0, 1, 5
Let o(s) be the first derivative of -s**4/20 + 2*s**3/15 + 91*s**2/10 + 88*s/5 - 475. Solve o(b) = 0 for b.
-8, -1, 11
Suppose -20 = 61*n - 65*n + o, 6*n = 3*o + 36. Find z, given that 8/11*z + 10/11*z**3 - 14/11*z**n + 32/11*z**2 + 0 = 0.
-1, -2/7, 0, 2
Let w = 97/25 + -24319/6300. Let j(q) be the third derivative of 0*q - w*q**4 + 1/1260*q**6 + 1/630*q**5 + 1/21*q**3 + 0 - q**2. Factor j(d).
2*(d - 1)**2*(d + 3)/21
Let j(b) = -8*b**3 - 176*b**2 - 1120*b - 1580. Let i(w) = 12*w**3 + 264*w**2 + 1680*w + 2368. Let q(p) = 5*i(p) + 8*j(p). Find c, given that q(c) = 0.
-10, -2
Let x(h) = -279*h**2 + 45*h - 38. Let r(i) = -35*i**2 + i. Let s(q) = 24*r(q) - 3*x(q). Suppose s(k) = 0. What is k?
-38, 1
Factor -690/17*i**2 - 232/17 - 226/17*i**3 + 2/17*i**4 - 694/17*i.
2*(i - 116)*(i + 1)**3/17
Let l(r) = 1357*r - 40708. Let i be l(30). Solve 24/5*g + 8/5*g**i + 18/5 = 0 for g.
-3/2
Let f(m) be the second derivative of -m**6/120 + 3*m**5/40 - m**4/4 - 11*m**3/2 - 60*m + 1. Let d(v) be the second derivative of f(v). Factor d(n).
-3*(n - 2)*(n - 1)
Suppose 143*v = 141*v + 330. What is r in -2 - v*r**3 + 3*r**2 + 5*r + 166*r**3 - 6*r - r**2 = 0?
-2, -1, 1
Suppose -n = 1 + 3, -4*u = -2*n + 88. Let g be (-24)/9*u/288. Determine h so that -g*h - 16/9*h**3 + 11/9*h**2 + 0 + 7/9*h**4 = 0.
0, 2/7, 1
Let j(v) = -16*v**2 + 439*v - 189. Let m be j(27). Factor 36/11*n**2 + m + 6/11*n**3 + 0*n - 2/11*n**5 - 8/11*n**4.
-2*n**2*(n - 2)*(n + 3)**2/11
Let i(d) = -d - 10. Let b be i(-14). Let 1158*l**2 - b*l**3 - 1178*l**2 + 26 + 10 - 12*l = 0. Calculate l.
-3, 1
Factor 232*h**3 - 335*h**2 - 2314*h - 394*h**3 - 1196*h + 157*h**3.
-5*h*(h + 13)*(h + 54)
Let h(n) = -15*n**2 - 3479*n + 584. Let q(a) = 36*a**2 + 10434*a - 1750. Let j(k) = 8*h(k) + 3*q(k). Factor j(v).
-2*(v - 289)*(6*v - 1)
Let h(p) = -26*p**2 + 413*p - 3095. Let v(i) = 5*i**2 - 83*i + 620. Let d(f) = -2*h(f) - 11*v(f). What is b in d(b) = 0?
14, 15
Let a be (-22 + 11 - -6)/(-1). Suppose 2*t + 10 = -5*w, 3*w + 1 = -5*t - a. Let -3/7*p**3 + 0*p**2 + 3/7*p + t = 0. What is p?
-1, 0, 1
Let s(p) be the first derivative of -p**6/3 - 48*p**5/5 - 23*p**4/2 - 1300. Factor s(o).
-2*o**3*(o + 1)*(o + 23)
Let d = 64357/3 - 64352/3. Determine s so that -1/3*s**2 - d*s + 14/3 = 0.
-7, 2
Let s(r) = r**3 + 6*r**2 - 5*r - 26. Let i be s(-6). Determine w, given that 131*w**4 + 136*w**4 + 210*w**3 + 65*w - 347*w**i - 200*w**2 + 5*w**5 = 0.
0, 1, 13
Factor 623*j + 375 + 1421*j - 1183*j + 21*j**2 + 1767*j.
3*(j + 125)*(7*j + 1)
Factor 222*w**2 - 192*w - 256 - 301*w**2 + 139*w**2 - 4*w**3.
-4*(w - 8)**2*(w + 1)
Let q(m) = -1 + 208*m + 209*m - 418*m. Let d(i) = -2*i**2 + 9*i - i - 2*i + 4. Let w(b) = d(b) + 4*q(b). Suppose w(j) = 0. Calculate j.
0, 1
Find z such that -208658/11 - 2/11*z**2 + 1292/11*z = 0.
323
Let b = -35356 - -107993/3. Let s = -639 + b. Solve s*r**2 - 4*r - 4/9*r**3 + 0 = 0.
0, 3
Determine p, given that -3/5*p**3 + 21/5*p**2 + 276/5*p + 252/5 = 0.
-6, -1, 14
Factor -10225*j - 5*j**2 - 2063*j + 2293*j.
-5*j*(j + 1999)
What is p in 149/4*p**2 - 10647 - 1/4*p**3 - 1248*p = 0?
-7, 78
Let g(i) be the second derivative of i**4/108 + 31*i**3/27 + 263*i + 8. Solve g(w) = 0 for w.
-62, 0
Let n(i) be the second derivative of i**7/840 + 41*i**6/60 + 1681*i**5/10 + 93*i**4/4 + 2*i + 2. Let s(a) be the third derivative of n(a). Factor s(m).
3*(m + 82)**2
Let d be 11 + (((-288)/(-112))/((-24)/84))/((-2)/(-2)). Factor -68/9 + 38/9*c - 2/9*c**d.
-2*(c - 17)*(c - 2)/9
Suppose 3*p + 7 = 5*r, 4*r + 5*p - 12 = 9*p. Let l be 0 + -4 + r + 1 - -8. Factor 2/9*z**3 - 2/9*z**5 + 0*z + 2/9*z**2 + 0 - 2/9*z**l.
-2*z**2*(z - 1)*(z + 1)**2/9
Factor -28/11*r**2 + 2/11*r**3 - 870/11*r + 0.
2*r*(r - 29)*(r + 15)/11
Factor 16*r + 2/9*r**4 - 16/9*r**3 - 32 + 14/9*r**2.
2*(r - 4)**2*(r - 3)*(r + 3)/9
Let g(o)