ative of -1/9*g**2 + 0*g - 1/18*g**4 + 4/27*g**3 + n. Let q(p) = 0. What is p?
0, 1
Suppose 0 = -3*r + 11*r + 16. Let l(h) = -3*h**3 + 4*h**2 - 5*h - 2. Let x(j) = 39*j**3 - 51*j**2 + 66*j + 27. Let b(k) = r*x(k) - 27*l(k). Solve b(t) = 0.
0, 1
Find q, given that -8*q**5 - 9467 + 48*q**3 + 4*q**5 + 44*q**4 + 9467 = 0.
-1, 0, 12
Factor 0 - 5/4*i**3 + 7/4*i**2 - i**4 + 1/2*i.
-i*(i - 1)*(i + 2)*(4*i + 1)/4
Suppose -228*p - 105 = -263*p. Factor 3/5*f**2 - 4/5*f + 1/5*f**p + 0.
f*(f - 1)*(f + 4)/5
Let b(l) = -l**3 + 8*l**4 - 22*l**2 + 1 - 9*l**4 + 21*l**2. Let c(n) = -8*n**4 - 12*n**3 - 7*n**2 + 9. Let z(v) = -36*b(v) + 4*c(v). Factor z(r).
4*r**2*(r - 2)*(r - 1)
Suppose -117740*h - 356*h**3 + 22536 + 4*h**4 + 124236 + 48340 + 10788*h**2 = 0. What is h?
2, 29
Let a be -3*(20/(-15) + 1) + -1. Let g(k) be the third derivative of 0*k**6 + 7*k**2 + 0*k**3 + 0*k + a*k**4 + 1/840*k**7 + 0 - 1/240*k**5. Factor g(z).
z**2*(z - 1)*(z + 1)/4
Let o(x) be the third derivative of x**7/630 - 7*x**6/120 + 5*x**5/6 - 52*x**4/9 + 64*x**3/3 + 692*x**2. Determine i, given that o(i) = 0.
2, 3, 8
Determine f so that -3/2*f**3 - 15/2*f + 75 - 12*f**2 = 0.
-5, 2
Let m be (-1 + 10/16)/(153/(-68)). Let g(o) be the first derivative of -1/15*o**5 + 2 + 1/3*o**3 + m*o**2 - 1/12*o**4 - 2/3*o. Factor g(z).
-(z - 1)**2*(z + 1)*(z + 2)/3
What is a in 2/7*a**5 + 76/7*a**2 + 64/7*a**3 + 30/7*a + 20/7*a**4 + 0 = 0?
-5, -3, -1, 0
Find r such that 0*r + 7/3*r**3 - 2/3*r**4 - 4/3*r**2 + 0 - 1/3*r**5 = 0.
-4, 0, 1
Suppose -93 = f + 4*s - 101, 0 = 5*f - s - 124. Solve -7/2*y**4 - 6*y**3 - 8 + 16*y**2 + f*y = 0.
-2, 2/7, 2
Let i(g) = -7*g**2 - 2*g + 3. Let k(c) = c**2 - 1. Let m(u) = -i(u) - 4*k(u). Let v be m(-2). Factor 2 - h + 2*h**3 - 2*h**2 - v*h + 8*h.
2*(h - 1)**2*(h + 1)
Let v = -35 - -40. Solve 36*k + 27 - 6*k**2 + 9*k + 17*k**3 + 58*k**v - 21*k**4 - 61*k**5 - 59*k**3 = 0 for k.
-3, -1, 1
Let x(z) be the third derivative of z**8/1344 + z**7/105 + 11*z**6/240 + z**5/10 + 3*z**4/32 - 140*z**2. Determine h, given that x(h) = 0.
-3, -1, 0
Let l(i) = i + 24. Let y be l(-12). Find s, given that 5*s + 8 + 7*s**2 + 0*s**3 - 5*s**3 + 3*s - y = 0.
-1, 2/5, 2
Let p(g) be the second derivative of -g**4/30 - 14*g**3/15 - 49*g**2/5 - 39*g + 6. Let p(t) = 0. What is t?
-7
Suppose -24*f**3 + 6*f**3 + 4*f**3 + 6*f**3 - 4*f**4 + 4*f**5 = 0. What is f?
-1, 0, 2
Suppose h + 0 = 2, -5*h + 18 = y. Let d(i) be the first derivative of 2*i**3 + 1/2*i**4 + 2*i**2 + 0*i + y. Determine l, given that d(l) = 0.
-2, -1, 0
Let j(i) = 2*i + 10. Let x(a) = 2*a + 9. Let c(g) = 2*j(g) - 3*x(g). Let z be c(-5). Solve t + 0*t - 6*t + t**2 + z*t + 1 = 0 for t.
1
Factor 54*k + 109*k - 15839 - 3*k**2 + 235*k + 16*k + 1556.
-3*(k - 69)**2
What is d in 53/4*d**2 - 27/4*d - 2*d**3 - 9/2 = 0?
-3/8, 1, 6
Factor 601*u + 247*u + 28804 + 7139 + 4*u**2 + 9001.
4*(u + 106)**2
Let h(c) be the first derivative of 0*c + 5/2*c**2 - 5/3*c**3 + 14. Let h(z) = 0. What is z?
0, 1
Let z be 2*(-24)/(-56)*1844/(-6). Let f = z - -264. Factor -6/7*n - 2/7*n**2 - f.
-2*(n + 1)*(n + 2)/7
Let g(w) be the first derivative of 2*w**3/27 - 44*w**2/9 + 968*w/9 - 92. Factor g(d).
2*(d - 22)**2/9
Suppose -4*i = -5*i + 3. Factor -3*t + 4*t + 0*t**2 + 18 - i*t**2 - 16*t.
-3*(t - 1)*(t + 6)
Let n(w) = 7*w**3 + 5*w**2 - 8*w. Let g(f) = -20*f**3 - 14*f**2 + 23*f. Let l be (17/(-4))/((-1)/((-24)/(-6))). Let m(b) = l*n(b) + 6*g(b). Factor m(j).
-j*(j - 2)*(j + 1)
Let n = -11 + 11. Suppose 0*v + b + 1 = 3*v, v + 4*b - 22 = n. Factor -4*y**5 - v*y**4 + y**2 + 3*y**5 + 3*y**4 + y**3 - 2*y**2.
-y**2*(y - 1)**2*(y + 1)
Let g(m) be the first derivative of -4*m**3/3 + 256*m**2 - 16384*m + 263. Find a such that g(a) = 0.
64
Let r be 1 + -5 + (-143)/(-13). Suppose 5*m + r*m - 12 - m**2 - 2*m**2 = 0. What is m?
2
Suppose -2 + 34/3*z - 28/3*z**2 = 0. What is z?
3/14, 1
Factor -7/3*a**2 + 1/3*a**3 - 10/3*a + 16/3.
(a - 8)*(a - 1)*(a + 2)/3
Let q(i) be the third derivative of -i**6/30 + 2*i**5/5 - i**4/2 - 20*i**3/3 - 124*i**2 + 2. Suppose q(p) = 0. Calculate p.
-1, 2, 5
Let s(a) = 4*a**3 - 38*a**2 - 46*a. Let w(i) = -i**2 + i. Let v(h) = -s(h) - 2*w(h). Find c, given that v(c) = 0.
-1, 0, 11
Let o = 404888 - 76118581/188. Let t = 15/47 + o. Factor 4*y**2 + t*y**4 + y + 21/4*y**3 + 0.
y*(y + 1)*(3*y + 2)**2/4
Let v = -7009 - -91119/13. Solve -4/13 + 10/13*i - 8/13*i**2 + v*i**3 = 0 for i.
1, 2
Let y(u) be the second derivative of -1/3*u**4 - 1/3*u**3 + 0*u**5 - 3*u + 0*u**2 + 1/21*u**7 + 2/15*u**6 + 0. Solve y(f) = 0.
-1, 0, 1
Factor 3975*u - 2452 - 3324 - 4*u**2 - 3671*u.
-4*(u - 38)**2
Let v(g) be the third derivative of -g**6/320 - g**5/8 - 9*g**4/16 + 523*g**2. Let v(l) = 0. Calculate l.
-18, -2, 0
Let d = -216 + 219. Suppose -70 = d*a - 70. What is j in -3/5*j**2 + a + 3/5*j = 0?
0, 1
Let d = -37 - -45. Let q be (-12)/(-45)*20/d. Factor -4/3*m + 2/3*m**2 + q.
2*(m - 1)**2/3
Let g = 80698/11 - 7336. Determine m so that -6/11 + g*m**2 - 4/11*m = 0.
-1, 3
Let d(k) = 7*k**3 - 13*k - 12. Let l = 13 + -2. Let r(y) = -36*y**3 + 64*y + 61. Let c(o) = l*d(o) + 2*r(o). Let c(z) = 0. Calculate z.
-1, 2
Factor 2/3*u**3 - 2/3*u - 50/3*u**2 + 50/3.
2*(u - 25)*(u - 1)*(u + 1)/3
Suppose -10*r = 75 - 665. Determine z, given that -30*z**4 + r*z**4 - 8*z - 16 + 2*z**3 - 31*z**4 + 12*z**2 = 0.
-2, -1, 2
Suppose 0 = -3*q - o + 233 + 921, -771 = -2*q + o. Let m be (-8)/(-20) - (-476)/q. Find s such that 0 - m*s - 2/11*s**3 - 12/11*s**2 = 0.
-3, 0
Let c(u) be the third derivative of -u**5/360 - 13*u**4/144 + 7*u**3/18 + 20*u**2 - 3*u. Factor c(g).
-(g - 1)*(g + 14)/6
Let r(b) be the third derivative of 0*b**6 + 0*b**4 + 1/1155*b**7 + 0 + 4/33*b**3 - 1/66*b**5 - 12*b**2 + 0*b. Determine d so that r(d) = 0.
-2, -1, 1, 2
Let t(f) = -9*f**4 + 21*f**3 - 30*f**2 - 36*f + 6. Let i(j) = -7*j**4 + 20*j**3 - 29*j**2 - 36*j + 5. Let z(m) = 6*i(m) - 5*t(m). Determine x so that z(x) = 0.
-6, -1, 0, 2
Let g(l) = -l**3 + 4*l**2 + 13*l - 35. Let f be g(8). Let t be (-51)/f*2/3. Factor -2/11*j**2 - 2/11*j + t*j**3 + 2/11.
2*(j - 1)**2*(j + 1)/11
Let r(q) be the first derivative of -1/15*q**5 - 5/9*q**3 - 1/3*q**4 + 0*q - 1/3*q**2 + 4. Determine i so that r(i) = 0.
-2, -1, 0
Let w(o) be the second derivative of o**7/42 + o**6/30 - 3*o**5/20 - o**4/12 + o**3/3 + 15*o + 1. Factor w(f).
f*(f - 1)**2*(f + 1)*(f + 2)
Let b(f) be the second derivative of f**8/1680 - f**7/420 + f**6/360 + 17*f**3/6 - 7*f. Let i(h) be the second derivative of b(h). Factor i(n).
n**2*(n - 1)**2
Let j = 21445 - 21443. Find p, given that -92/7*p**j - 80/7*p - 16/7 - 4*p**3 = 0.
-2, -1, -2/7
Let r be ((-41)/1)/((-5 + 0)/(-5)). Let n = r - -43. Factor -2/7*c - 8/7*c**n - 10/7*c**3 + 0 - 4/7*c**4.
-2*c*(c + 1)**2*(2*c + 1)/7
Let a(z) be the second derivative of z**4/96 - z**3/4 + 5*z**2/4 - 90*z. Factor a(n).
(n - 10)*(n - 2)/8
Let p = 10314 + -30932/3. Factor 25/6*m**2 + 5/3*m**3 - p*m - 5/2.
5*(m - 1)*(m + 3)*(2*m + 1)/6
Factor -58/11*x + 60/11 - 2/11*x**2.
-2*(x - 1)*(x + 30)/11
Suppose 5*f + 4*s = 277 - 97, -4*f + 150 = 2*s. Let o be 16/f - 16/(-10). What is n in 17*n + 3*n**o + n**4 - 16*n - 3*n**3 + 6*n**3 = 0?
-1, 0
Let z(d) be the third derivative of d**8/5040 - d**6/135 - 13*d**4/24 + 8*d**2. Let x(k) be the second derivative of z(k). Find y such that x(y) = 0.
-2, 0, 2
Suppose -13*d = 9*d - 0*d - d. Solve 3/2*x**3 + d*x + 3*x**4 - 3/2*x**2 + 0 = 0 for x.
-1, 0, 1/2
Let w(a) be the first derivative of 1/8*a**4 - 26 - 1/4*a**2 + a - 1/3*a**3. Factor w(b).
(b - 2)*(b - 1)*(b + 1)/2
Let u(a) be the second derivative of -5*a**7/42 + a**6/6 + a**5/2 - 59*a. Find o, given that u(o) = 0.
-1, 0, 2
Let k(s) be the first derivative of -5*s**3/3 + 5*s**2/2 - 5. Let p(n) = -5*n**2 + 6*n - 1. Let b(g) = 6*k(g) - 5*p(g). Solve b(m) = 0 for m.
-1, 1
Suppose s - 3*s + u = -8, 0 = s + 4*u + 14. Factor 130*k**2 - 134*k**s + 4*k**3 + 0*k**3.
4*k**2*(k - 1)
Let o(r) be the first derivative of -9/2*r**2 + 7*r**3 - 15/4*r**4 + 3/5*r**5 + 2 + 0*r. Let o(u) = 0. What is u?
0, 1, 3
Let n(h) be the third derivative of -h**10/302400 - h**9/60480 - h**8/40320 + h**5/20 + 17*h**2. Let r(d) be the third derivative of n(d). Factor r(u).
-u**2*(u + 1)**2/2
Suppose 1071*i + 4*x = 1072*i - 19, 2*i + 3*x + 6 = 0. Factor i*t + 3/2 + 3/2*t**2.
3*(t + 1)**2/2
