) = 12*t(h) + v(h). Let g(f) = 0. What is f?
-1, 1, 8
Determine o so that 2/17*o**2 + 126/17 - 48/17*o = 0.
3, 21
Let v = 83 - 123. Let o = -38 - v. Factor 0*f**3 + 0*f**o + 0 + 0*f - 2/9*f**4.
-2*f**4/9
Let k(y) = 3*y + 21. Let f(g) = -g**2 + 6*g + 41. Let l(t) = -3*f(t) + 5*k(t). Suppose l(s) = 0. What is s?
-2, 3
Factor -16*g**2 - 162 - 216*g - 2*g**4 - 35*g**2 + 0*g**3 - 57*g**2 - 24*g**3.
-2*(g + 3)**4
Let o be (-20)/56 - (426/42 - 11). Factor o*i + 3/4*i**2 + 1/4*i**3 + 0.
i*(i + 1)*(i + 2)/4
Suppose 5*w + 11*y = -88, 4*y = 39*w - 34*w - 32. Find d, given that w*d + 0 - d**3 - 4/5*d**2 - 1/5*d**4 = 0.
-4, -1, 0
Let g(l) be the first derivative of l**4 - 356*l**3 + 47526*l**2 - 2819876*l + 49. Solve g(k) = 0.
89
Let h be (-3)/6 + (-19)/(-14). Let t(w) = -83*w - 410. Let q be t(-5). Find x, given that 0 + 0*x + 6/7*x**4 + h*x**3 + 2/7*x**q + 2/7*x**2 = 0.
-1, 0
Let i = -727 - -475. Let g be (-16)/(-42) - 9/(i/8). Solve g*j**2 + 0 - 2/3*j = 0 for j.
0, 1
Let i(j) be the second derivative of j**7/8820 + j**6/2520 + 25*j**4/12 + 14*j. Let q(c) be the third derivative of i(c). Let q(d) = 0. What is d?
-1, 0
Let n(u) be the second derivative of 5/12*u**4 - 24*u - 5/2*u**3 + 0 + 0*u**2. Factor n(c).
5*c*(c - 3)
Solve -4/13 + 2/13*p + 8/13*p**2 + 2/13*p**5 - 4/13*p**4 - 4/13*p**3 = 0.
-1, 1, 2
Let m be ((-864)/560)/((-88)/42). Let c = m + -3/22. Factor -3/5*a**4 + c*a**2 + 3/5*a**3 + 0 - 3/5*a.
-3*a*(a - 1)**2*(a + 1)/5
Let x(p) be the first derivative of -5*p**4/4 + 50*p**3 + 330*p**2 + 680*p + 51. Factor x(k).
-5*(k - 34)*(k + 2)**2
Let g be ((-392)/1680)/(8/(-10)). Let j(n) be the second derivative of 1/120*n**6 + 3/16*n**4 - g*n**3 + 1/4*n**2 + 4*n + 0 - 1/16*n**5. Factor j(u).
(u - 2)*(u - 1)**3/4
Let z(d) be the first derivative of d**3/7 - 69*d**2/14 - 72*d/7 - 79. Factor z(c).
3*(c - 24)*(c + 1)/7
Let o be (-6)/(-15) - 8/(-5). Let t = -1565/3 + 522. Determine q so that 0 + 1/3*q**o - t*q = 0.
0, 1
Let p(c) = 5*c**4 + 15*c**3 - 34*c**2 - 7. Let z(s) = -2*s**4 - 8*s**3 + 16*s**2 + 3. Let g(w) = -3*p(w) - 7*z(w). Factor g(d).
-d**2*(d - 10)*(d - 1)
Let -76/9*j**3 + 136/9*j**2 + 20/9*j**4 + 4 - 38/3*j - 2/9*j**5 = 0. Calculate j.
1, 2, 3
Let y(j) be the first derivative of -1/6*j**2 - 2/3*j + 10 + 1/9*j**3. Factor y(a).
(a - 2)*(a + 1)/3
Let n(h) be the third derivative of 5*h**8/112 - 46*h**7/35 + 521*h**6/40 - 457*h**5/10 + 76*h**4 - 64*h**3 + 33*h**2 + 7*h. What is w in n(w) = 0?
2/5, 1, 8
Let y(b) be the third derivative of -b**9/20160 - b**8/840 - b**7/84 - b**6/15 + 19*b**5/60 - 37*b**2. Let m(f) be the third derivative of y(f). Factor m(s).
-3*(s + 2)**2*(s + 4)
Let v be 63/16 + (-17)/(-272). Factor -1/3*y**v + 1/3*y**2 + 1/3*y**3 + 0 - 1/3*y.
-y*(y - 1)**2*(y + 1)/3
Let d(z) = -2*z**2 - 4*z**2 + 2*z**2 + 5*z**2. Let s(c) = 2*c**4 - 16*c**2 - 4*c. Let t(u) = -20*d(u) - 2*s(u). Factor t(l).
-4*l*(l - 2)*(l + 1)**2
Suppose 15*z - 50 = 10*z. Let v be (-4)/10 + ((-21)/z - -3). Suppose 0 - v*b**2 - 1/4*b - 1/4*b**3 = 0. Calculate b.
-1, 0
Solve -2601/2 + 51*j - 1/2*j**2 = 0.
51
Let i be (1 - 25) + 7*12/42. Let c = -20 - i. Factor 1/6*u**3 - 1/6*u + 1/6*u**c - 1/6.
(u - 1)*(u + 1)**2/6
Let b(w) be the second derivative of w**6/10 + 21*w**5/20 + 15*w**4/4 + 9*w**3/2 + 389*w. Determine g so that b(g) = 0.
-3, -1, 0
Factor 36/7*f**2 - 2/7*f**3 + 216/7 - 162/7*f.
-2*(f - 12)*(f - 3)**2/7
Let u(l) = -l**2 - 10*l - 18. Let v be u(-10). Let z be (-8)/v - 14/(-63). Factor 0 - 2/3*r - z*r**2.
-2*r*(r + 1)/3
Let z(o) be the first derivative of -o**5/5 + o**4 - o**3 + 356. Factor z(n).
-n**2*(n - 3)*(n - 1)
Let h(m) = 14*m**3 + 44*m**2 + 46*m + 16. Let o(p) = 9*p**3 + 29*p**2 + 31*p + 11. Let c(q) = 5*h(q) - 8*o(q). Determine u so that c(u) = 0.
-4, -1
Let d(q) = -q + 11. Let t be d(9). Let a be 0 + -1 + 5 + (-7)/t. Find o, given that 1/2 + 1/2*o**3 - a*o - 1/2*o**2 = 0.
-1, 1
Let n(f) be the first derivative of f**5/360 + f**4/48 + f**3/18 + 11*f**2 + 32. Let i(v) be the second derivative of n(v). Find y, given that i(y) = 0.
-2, -1
Find i, given that 0 + 0*i + 4/5*i**3 + 8/5*i**2 = 0.
-2, 0
Let t = 133 + -929/7. Let h be 3 - (3 - 2/7). Factor 0 - 2/7*s**4 + t*s + 2/7*s**2 - h*s**3.
-2*s*(s - 1)*(s + 1)**2/7
Suppose -2*q = -5*q + 12, -g + 92 = -4*q. Suppose -3*s - s + g = 0. Factor -s*m + 2*m**2 + 12*m + 17*m.
2*m*(m + 1)
Factor -25*f - 3 + f**2 + 55 + 25 + 31 - 8.
(f - 20)*(f - 5)
Let l be 3/5 - (-21)/15. Factor 7*q**l - 3 - 1 - 8 + 2*q**2 + 3*q**3.
3*(q - 1)*(q + 2)**2
Let x(i) = 4*i**2 + 3*i + 5. Suppose 0 = -0*n - 7*n + 84. Let m(g) = 10*g**2 + 8*g + 12. Let z(a) = n*x(a) - 5*m(a). Factor z(p).
-2*p*(p + 2)
Let c be 3600/18*3*4/90. Let g(l) be the second derivative of l + 16/3*l**3 + 252/5*l**5 + c*l**4 + 392/15*l**6 + 0 + 0*l**2 - 49/3*l**7. Factor g(o).
-2*o*(o - 2)*(7*o + 2)**3
Let y(a) = 7*a**3 + a**2 + 3*a + 7. Let q be y(-3). Let c = -182 - q. Let 1/2*b**2 + c + b**3 + 1/2*b**4 + 0*b = 0. Calculate b.
-1, 0
Let l be 0*1/2*(-5)/10. Let j be (-4)/((-2)/(-2) + -3). Factor 8/7*n + 8/7*n**j + 2/7*n**3 + l.
2*n*(n + 2)**2/7
Let r = 47 + -45. Let v(s) be the third derivative of 0 + 1/20*s**5 + 0*s - s**3 + 7*s**r + 1/8*s**4. Factor v(j).
3*(j - 1)*(j + 2)
Suppose q - 2*q = -2*f, -1 = q - 3*f. Suppose -2*z + 4*c = -26, -5*c - 3 = -z + 25. Solve -5/4*x + 1/4*x**z - 1/4*x**q - 3/4 = 0.
-1, 3
Let l(n) be the third derivative of 1/30*n**6 + 4/15*n**5 + 3*n**2 + 0 + 4/3*n**3 + 5*n + 5/6*n**4. Factor l(x).
4*(x + 1)**2*(x + 2)
Let o(j) be the first derivative of -j**6/75 - 3*j**5/50 - j**4/15 + j + 21. Let v(a) be the first derivative of o(a). What is b in v(b) = 0?
-2, -1, 0
Let s(y) = -9*y**2 - 105*y - 124. Let k(x) = -10*x**2 - 105*x - 130. Let z(n) = 4*k(n) - 5*s(n). What is a in z(a) = 0?
-20, -1
Let f(v) = v + 6. Let j(s) = -s - 7. Let a(y) = -6*f(y) - 5*j(y). Let n be a(-3). Factor -2 - 3*z + 8*z - 4*z**3 - 6*z**3 + 2*z**n + 5*z.
-2*(z - 1)*(z + 1)*(5*z - 1)
Let n(b) = -b - 10. Let p be n(-14). Let t be 3/((-24)/(-14)) - (-1)/p. Find z such that -1/3*z**4 + 0*z**3 + 1/3*z**t + 0*z + 0 = 0.
-1, 0, 1
Suppose 4*d + 4 = -3*s, -5 = -179*s + 177*s + 5*d. Let s + 6/11*g**2 + 4/11*g + 2/11*g**3 = 0. What is g?
-2, -1, 0
Let d be (-20)/(-6)*(-6)/(-4). Let 6*g**3 - 4*g**4 + 0*g**5 - d*g**3 - 5*g + g**5 + 2*g**2 + 2 + 3*g**3 = 0. Calculate g.
-1, 1, 2
Factor 0*d**3 - 1/9*d**4 + 0 + 1/3*d**2 + 2/9*d.
-d*(d - 2)*(d + 1)**2/9
Let b(s) be the third derivative of s**7/1050 - s**6/120 + 7*s**5/300 - s**4/40 + 29*s**2. Factor b(r).
r*(r - 3)*(r - 1)**2/5
Suppose 2*f = -d + 36, 4*f + d + 15 = 91. Find p, given that -4*p**5 + 0*p**5 - 10*p + 15*p**4 + f*p**3 - p**5 - 15*p**2 - 5*p**5 = 0.
-1, -1/2, 0, 1, 2
Let l(r) be the first derivative of 5*r**3/3 + 375*r**2 + 28125*r - 256. Factor l(i).
5*(i + 75)**2
Let l be ((-288)/(-10))/((-910)/(-325)). Find q, given that 3/7*q**5 - 24/7*q**4 + 27/7*q + 0 - l*q**2 + 66/7*q**3 = 0.
0, 1, 3
Let p(r) = 7*r**3 + 5*r**2 - 2*r + 11. Let l be 2 + (7 - (-1 + -1)). Let i(w) = 4*w**3 + 3*w**2 - w + 6. Let z(q) = l*i(q) - 6*p(q). Factor z(n).
n*(n + 1)*(2*n + 1)
Let t(p) = 36*p**2 + 48*p + 22. Suppose i - 9 = 5*n + 5, -5*n = 4*i - 6. Let x(d) = -73*d**2 - 96*d - 45. Let h(m) = i*x(m) + 9*t(m). Factor h(o).
2*(4*o + 3)**2
Let k be 0 + (2 - -1) + 1166/6. Let o = 199 - k. Factor 1/3*j + 0 - j**4 + 7/3*j**3 - o*j**2.
-j*(j - 1)**2*(3*j - 1)/3
Let t(a) be the second derivative of -a**5/20 - a**4/96 + a**3/6 + a**2/16 - 372*a. What is m in t(m) = 0?
-1, -1/8, 1
Let n be 8 - (0 - -3) - (-9 + 5). Let t = 1 + 1. Factor -n*y**2 + 10*y**2 - 4*y + t + 9*y + 2*y**2.
(y + 1)*(3*y + 2)
Find i, given that 41 - 93*i + 1998*i**2 - 2058*i**2 - 11 + 63*i**3 = 0.
-1, 2/7, 5/3
Let d(u) = -2*u**2 + 3*u - 1. Let o(k) = 3*k**2 - 6*k + 1. Let n be (2 - (0 - 0))*(-215)/86. Let i(z) = n*d(z) - 3*o(z). Determine q so that i(q) = 0.
-2, -1
Factor -3/4*k**5 + 0 + 0*k**3 + 3/2*k**2 - 3/2*k**4 + 3/4*k.
-3*k*(k - 1)*(k + 1)**3/4
Let z = -2 - -5. Suppose -3*r + 4 = -4*r - 4*y, -2*y - 2 = 2*r. Suppose -g**2 - 2*g**3 - g**2 + z + 2*g - 1 + r = 0. Calculate g.
-1, 1
Factor 0 + 1/6*x**2 + 79/3*x.
x*(x + 158)/6
Suppose 5*q = 8*m - 9*m, -4*m + 63 = -q. Factor -4*y**4 - 682*y - m*y**2 + 677*y - 15*y**3 - y**4.
-5*y*(y + 1)**3
Find j, given that 54/5*j - 4*j**2 - 36/5 + 2/5*