0. What is g?
-1, 0, 3/4
Let f be ((-965)/(-1158))/(1/(9/10)). Let z(b) be the first derivative of -4/5*b**5 - 9 + 1/3*b**3 + 0*b + f*b**4 + 0*b**2. Find o such that z(o) = 0.
-1/4, 0, 1
Let q = 315006 + -4725088/15. Factor 0 - 2/5*f**3 + 2/15*f**4 - 4/15*f + q*f**5 - 2/3*f**2.
2*f*(f - 2)*(f + 1)**3/15
Let j(f) be the third derivative of f**8/112 - 3*f**7/70 - 37*f**6/40 - 33*f**5/20 + 9*f**4 + 1070*f**2. Factor j(r).
3*r*(r - 8)*(r - 1)*(r + 3)**2
Suppose 3*f + 3*b = 1536 - 1509, -3*b = 4*f - 27. Let l(m) be the third derivative of 18*m**2 + 0*m + f - 7/12*m**3 + 1/120*m**5 - 1/8*m**4. Factor l(i).
(i - 7)*(i + 1)/2
Let m(c) be the first derivative of -867*c**3 - 27*c - 4913/4*c**4 - 459/2*c**2 - 19. Factor m(j).
-(17*j + 3)**3
Let m = -461773/25 + 18471. Let x(v) be the first derivative of 3/10*v**4 + 4/5*v - 3/5*v**2 - m*v**5 - 2/15*v**3 - 26. Find p such that x(p) = 0.
-1, 1, 2
Let -375765/2*c**2 + 1224*c + 373321/2*c**3 - 2 = 0. Calculate c.
2/611, 1
Let f(p) be the third derivative of -p**6/3 - 135*p**5 - 91125*p**4/4 - 4100625*p**3/2 + 9*p**2 - 527*p. Determine l so that f(l) = 0.
-135/2
Let i(h) be the second derivative of -32*h**2 + 0 + 16/3*h**3 + 7/3*h**4 + 1/5*h**5 + 9*h. Factor i(u).
4*(u - 1)*(u + 4)**2
Let g(h) = -h**3 + 32*h**2 + h - 20. Let v be g(32). Determine s so that -2*s**4 - s**4 + v*s**2 + 14000*s - 14000*s = 0.
-2, 0, 2
Suppose 6*x = -2*h + 7993 - 7915, 0 = h + 4*x - 51. Factor -4/7*c**2 + 0 + 4/7*c**4 + 3/7*c**h + 1/7*c**5 - 4/7*c.
c*(c - 1)*(c + 1)*(c + 2)**2/7
Let k be (-4 + -4)/(-48)*6 + -1. Let g(r) be the second derivative of 54*r**2 - 3/2*r**5 + 1/10*r**6 - 2*r + 37/4*r**4 + k - 30*r**3. Factor g(n).
3*(n - 3)**2*(n - 2)**2
Let l(t) be the second derivative of 0*t**5 + 40*t + 1/84*t**7 + 0*t**2 + 0 + 0*t**4 + 1/60*t**6 + 0*t**3. Factor l(n).
n**4*(n + 1)/2
Let b(j) be the first derivative of j**6/15 - 37*j**5/50 + 117*j**4/40 - 9*j**3/2 + 27*j**2/20 - 330. Factor b(m).
m*(m - 3)**3*(4*m - 1)/10
Let u = -67 + 63. Let s be 1 + (u/(-10) - 23/(-5)). Factor -15*x + 18 + 11*x**2 + s*x**2 - 23*x**2 + 9*x**2.
3*(x - 3)*(x - 2)
Let a(x) be the third derivative of -x**6/300 + x**5/75 + x**4/20 - x**2 - 329*x - 1. Factor a(v).
-2*v*(v - 3)*(v + 1)/5
Let h(u) = u**3 - 8*u**2 + 14*u - 19. Let r = -49 - -47. Let y(f) = 2*f + 1. Let c(m) = r*h(m) - 6*y(m). What is i in c(i) = 0?
2, 4
Let y(l) be the second derivative of 0*l**3 + 0*l**2 + 105*l - 2/9*l**4 + 1/60*l**5 + 0. Determine t, given that y(t) = 0.
0, 8
Let r(u) be the second derivative of -2*u**7/105 - 14*u**6/75 + 64*u**5/25 + 172*u**4/15 - 352*u**3/5 + 23*u + 8. Suppose r(c) = 0. Calculate c.
-11, -4, 0, 2, 6
Suppose 3*g - 11 = -5. Suppose b = -3*w + 48, -w - 32*b + 31*b = -16. Factor 31*j**2 + 2 + 4*j - w*j**g - 13*j**2.
2*(j + 1)**2
Let c be ((-3)/(-42))/((-2)/(-9692)). Let l = -345 + c. Factor -2/7*j**4 + 2*j**2 + 0 + 4/7*j**3 + l*j.
-2*j*(j - 4)*(j + 1)**2/7
Let u(d) be the third derivative of d**8/672 + d**7/70 + d**6/20 + d**5/12 + d**4/16 - 7*d**2 + 23*d - 2. Find r, given that u(r) = 0.
-3, -1, 0
Let n be 4*4/24 + (-22)/44. Let b(o) be the second derivative of 0 + 3/10*o**5 + 0*o**2 - 2/15*o**6 - 16*o + 1/42*o**7 - 1/3*o**4 + n*o**3. Factor b(h).
h*(h - 1)**4
Let s(o) be the second derivative of 2*o**6/15 - 4*o**5/5 - 2*o**4 + 8*o**3/3 + 10*o**2 - 448*o. Factor s(p).
4*(p - 5)*(p - 1)*(p + 1)**2
Let c(t) be the second derivative of 3*t**2 - t**3 - 2/3*t**4 + 0 + 17*t. Let f(m) = -m**2 + 1. Let g(j) = c(j) - 6*f(j). Let g(i) = 0. Calculate i.
-3, 0
Solve 66*o + 174*o + 255*o**2 - 708*o**2 - 3*o**4 - 102*o**3 - 762*o = 0 for o.
-29, -3, -2, 0
Suppose -34 + 102 = 2*l. Suppose -4*x + x - 5*p + l = 0, 3*p - 15 = 0. What is g in 47*g + 5*g**3 - 8*g**3 - 3*g**4 - 47*g + x*g**2 + 3*g**5 = 0?
-1, 0, 1
Suppose 10*b + 4*b = 14. Let m be 36/306*(b - 0). Find r, given that 4/17*r + 14/17*r**2 + 18/17*r**3 + 0 + 10/17*r**4 + m*r**5 = 0.
-2, -1, 0
Let t(f) be the second derivative of 1/75*f**6 - 8/15*f**4 + 0 + 0*f**2 + 0*f**3 - 102*f + 3/10*f**5. Determine x, given that t(x) = 0.
-16, 0, 1
Let s(j) be the first derivative of -j**5/30 + j**4/12 + 2*j**3 - 18*j**2 - 43. Let w(u) be the second derivative of s(u). Factor w(b).
-2*(b - 3)*(b + 2)
Let a(g) be the third derivative of -g**5/180 - 347*g**4/72 - 115*g**3/3 + 2*g**2 - 108. Solve a(k) = 0.
-345, -2
Let i(t) = 11*t**2 - 624*t + 4378. Let h(x) = -35*x**2 + 1860*x - 13135. Let g(b) = -3*h(b) - 10*i(b). Solve g(v) = 0.
7, 125
Suppose 0 = -5*j - 1243 + 8743. Let a = -1498 + j. Factor 0 + 4/17*f**a + 0*f - 2/17*f**3.
-2*f**2*(f - 2)/17
Let x = -4 + 7. Let n be 650/(-29250) + (14/(-18) - -1). Factor n*a**x + 0 + 1/5*a**2 - 2/5*a.
a*(a - 1)*(a + 2)/5
Let i be (262 - 263)*(-11 + 0). Let o(r) be the second derivative of 0 + r**3 - 9/5*r**2 - 7/30*r**4 - i*r + 1/50*r**5. Suppose o(l) = 0. Calculate l.
1, 3
Let d(u) = -u**2 - 3. Let z(f) = 3*f**2 + 7*f + 18. Let l(j) = 4*d(j) + z(j). Let t(o) = o**2 - 7*o - 5. Let g(i) = 3*l(i) + 2*t(i). Solve g(y) = 0.
-1, 8
Let x = -1297 + 1299. Let l = -2 + 4. Factor -y**5 - 4*y**5 + 33*y**4 - 18*y**l - 18*y**4 - 2*y**x.
-5*y**2*(y - 2)**2*(y + 1)
Find b such that -50*b**2 - 580 + 45*b + 580 + 5*b**3 = 0.
0, 1, 9
Let r(d) be the second derivative of -d**5/180 + 17*d**4/108 + 145*d**3/54 - 161*d**2/18 - d - 951. Find i, given that r(i) = 0.
-7, 1, 23
Let v(g) be the first derivative of 7/3*g**3 - 4*g + 3/2*g**2 + 80. Find m, given that v(m) = 0.
-1, 4/7
Factor 107/4*g**2 + 75/4 + g**3 + 89/2*g.
(g + 1)*(g + 25)*(4*g + 3)/4
Let a = 991 + -983. Let l be 9 + ((-988)/a)/19. Suppose 245/2 + 35*n + l*n**2 = 0. What is n?
-7
Suppose 0 = -p + b + 22, -7*p + 3*b = -8*p + 42. Factor 10*f**3 - p*f**3 - 2*f**2 - 5*f**4 + 13*f**3 + 3*f**4.
-2*f**2*(f + 1)**2
Let n(o) be the first derivative of -o**4/12 + 223*o**3/9 + 151*o**2/2 - 225*o - 12789. Factor n(f).
-(f - 225)*(f - 1)*(f + 3)/3
Factor -21141*v + 0*v**3 - 40731*v**2 + 41226*v**2 - 2*v**3 - v**3 + 59049.
-3*(v - 81)**2*(v - 3)
Suppose 3*n = -d - 2*n + 7, 0 = -4*d - n + 9. Suppose -19*c**3 + 34*c**3 - 19*c**3 - 164*c - 80 - 88*c**d = 0. Calculate c.
-20, -1
Let d be -2 - 0 - -3 - -21. Suppose l + 5*k = -l + 45, l + 2*k - d = 0. Let 2*f**4 - 5*f**5 + 4*f**5 - l + 20 = 0. What is f?
0, 2
Factor 36*n**2 - 824/11*n - 2/11*n**4 + 560/11 - 58/11*n**3.
-2*(n - 2)**3*(n + 35)/11
Let s be ((-34)/68)/(3 - (-99)/(-22)). Solve -s*k**2 + 50*k - 1875 = 0.
75
Suppose -9068*k + 36 = -9050*k. Let b(a) be the first derivative of -k - 1/3*a**2 + 0*a + 1/9*a**3. Factor b(q).
q*(q - 2)/3
Let u(n) be the first derivative of n**6/180 + 11*n**5/60 + 5*n**4/6 + 60*n**3 - 173. Let z(m) be the third derivative of u(m). Factor z(q).
2*(q + 1)*(q + 10)
Let x(c) = c**3 - 14*c**2 + 5*c + 90. Let g be x(13). Let a be -8 + (-300)/(-35) - (-8)/g. Factor 2/3*f**3 - 2/3*f**2 + 0 + a*f.
2*f**2*(f - 1)/3
Let b(r) be the third derivative of r**7/420 - 43*r**6/1800 - r**5/50 - 10*r**4/3 + 112*r**2. Let m(s) be the second derivative of b(s). Factor m(j).
2*(j - 3)*(15*j + 2)/5
Let n(p) be the first derivative of -p**3/9 + 3007*p**2/3 - 9042049*p/3 + 2461. Factor n(h).
-(h - 3007)**2/3
Let f(n) = n**3 - 11*n**2 + 11*n - 22. Let k be f(10). Let v be -2*(k/(-8) - 3). Solve -18 - 29*i**2 - v*i - 30*i + 20*i**2 = 0 for i.
-3, -2/3
Let z = -33 + 38. Let x(f) be the third derivative of 1/40*f**6 + 3/16*f**4 + 0 + 19*f**2 + 9/80*f**z + 1/8*f**3 + 0*f. Factor x(s).
3*(s + 1)**2*(4*s + 1)/4
Suppose -2167 = 29*q - 2225. Solve 36/5*x**q + 9/5*x + 21/5*x**3 - 6/5 = 0 for x.
-1, 2/7
Let s(o) be the third derivative of o**5/15 + 115*o**4/6 - 156*o**3 + 15*o**2 - 54. Suppose s(m) = 0. What is m?
-117, 2
Suppose -2*c - 14 = -4. Let o be c/((-15)/(-1))*-12. Factor 0*r**2 + 0*r**2 - 2*r**3 - 4*r**2 + 0*r**2 + o*r**4 + 2*r**5.
2*r**2*(r - 1)*(r + 1)*(r + 2)
Let f(k) be the second derivative of k**7/336 + 11*k**6/30 - 271*k**5/160 + 91*k**4/48 - 9*k - 278. Let f(l) = 0. What is l?
-91, 0, 1, 2
Let w(t) = 7*t**4 + 97*t**3 - 7*t**2 - 117*t - 5. Let d(f) = -f**4 - f**3 + f**2 + 5*f + 1. Let q(m) = -5*d(m) - w(m). Find x, given that q(x) = 0.
-46, -1, 0, 1
Let u = -1/51315 - -10264/51315. Determine k, given that -u*k**2 - 1/5*k + 2/5 = 0.
-2, 1
Let w(q) be the first derivative of -q**5/35 - 79*q**4/28 - 675*q**