*(a - 2)**2
Let s = -89 + 89. Find f, given that 0 + 2/11*f**3 + 2/11*f**2 + s*f = 0.
-1, 0
Let l(q) be the first derivative of 4*q**3/3 - 5*q**2 + 6*q - 12. Let l(d) = 0. What is d?
1, 3/2
Let u(q) be the third derivative of q**7/630 - q**6/360 - q**5/180 + q**4/72 + 5*q**2. Find a such that u(a) = 0.
-1, 0, 1
Suppose 35 = 3*m + 2*m. Let y = -3 - -5. Let 0*r**4 + 3*r**2 - m*r**3 - 5*r**y - 3*r**5 - 8*r**4 = 0. What is r?
-1, -2/3, 0
Let y(g) be the first derivative of -9*g - 12*g - 52*g**3 + 1 - 27*g - 80*g**2 + 1 - 9*g**4. Suppose y(a) = 0. What is a?
-3, -2/3
Let u(q) = -2*q - 3. Let o be u(-3). Factor -5*k**o - 2 + 3*k**3 + 15*k - 2 + 4*k**2 - 13*k.
-2*(k - 2)*(k - 1)*(k + 1)
Let w = -4/763 + 43499/1526. Let k = 29 - w. Let k*r**2 + 7/4*r**3 - 1/2 - 7/4*r = 0. What is r?
-1, -2/7, 1
Let y be (-1)/24*3*2*-2. Factor -h + 1/2*h**4 - y*h**2 + h**3 + 0.
h*(h - 1)*(h + 1)*(h + 2)/2
Let v be (4/2)/(-2) + -1. Let w be 3/18*(-3)/v. Determine b so that -1/4*b**3 + 0 - w*b**4 + 0*b**2 + 0*b = 0.
-1, 0
Let v = 39/35 + -29/35. Factor -v*j**3 + 0*j**2 + 0*j + 0*j**4 + 0 + 2/7*j**5.
2*j**3*(j - 1)*(j + 1)/7
Let b(d) be the first derivative of -18*d**5/5 + 30*d**4 - 218*d**3/3 + 54*d**2 - 16*d - 2. Determine i, given that b(i) = 0.
1/3, 2, 4
Let a be 12/10*(-10)/(-3). Suppose -2*t - 24 = -2*s - a*t, -3*s = -t - 24. Solve g**2 - s - g + 9 = 0 for g.
0, 1
Suppose -12 = -3*a - 3*d + d, 0 = a - 3*d - 4. Let m(j) be the first derivative of -2/9*j**3 - 1 + 0*j + 0*j**2 - 1/2*j**a + 8/15*j**5. Factor m(x).
2*x**2*(x - 1)*(4*x + 1)/3
Let x be (16/(-3))/(5 - (-715)/(-117)). Suppose -x*d**3 - 9/5*d**4 - 16/5 + 8/5*d**2 + 32/5*d = 0. What is d?
-2, 2/3
Solve 2151*f**3 + f**5 + 6*f**4 + 2*f**5 - 2172*f**3 + 12*f**2 = 0.
-4, 0, 1
Solve 0 - 2/7*w**5 - 8/7*w**2 + 0*w + 6/7*w**4 + 0*w**3 = 0.
-1, 0, 2
Let d = 110 - 105. Let x(g) be the third derivative of 3/70*g**7 + 1/12*g**4 - 3/20*g**d + 0*g**3 + 0*g + 5*g**2 - 1/60*g**6 + 0. Factor x(i).
i*(i - 1)*(i + 1)*(9*i - 2)
Suppose q - 12 = -4*m - q, 4*m - 28 = 2*q. Let i(w) be the second derivative of 0 + 0*w**2 - 1/30*w**4 - 1/30*w**3 + w - 1/100*w**m. Solve i(s) = 0.
-1, 0
Let w be 2/((-2)/(-3)) - -2. Suppose 4*i = 2*k, 6 = w*k - 5*i + i. Find g, given that 0*g**2 + 5*g**2 - 6*g - k*g**2 + 0*g**2 = 0.
0, 2
Let x(m) be the third derivative of m**5/210 + m**4/28 - 44*m**2. Factor x(d).
2*d*(d + 3)/7
Let r(x) be the first derivative of 2*x**5/35 + 4*x**4/7 + 32*x**3/21 - 9. Factor r(n).
2*n**2*(n + 4)**2/7
Let b(g) be the first derivative of -2*g**6/3 - 6*g**5/5 + 2*g**3/3 - 12. Factor b(x).
-2*x**2*(x + 1)**2*(2*x - 1)
Let u(i) be the second derivative of i**6/15 - 3*i**5/10 + 8*i. Factor u(d).
2*d**3*(d - 3)
Let b(x) = -x**3 + 7*x**2 - x + 10. Let o be b(7). Suppose o + 0 = a. Factor 1/5*n**5 + 0 - 2/5*n**4 + 0*n + 0*n**2 + 1/5*n**a.
n**3*(n - 1)**2/5
Let k(g) be the first derivative of 5 + 4/21*g**3 + 9/14*g**4 + 0*g**2 + 0*g + 2/5*g**5. Suppose k(y) = 0. What is y?
-1, -2/7, 0
Let w(n) be the first derivative of n**6/420 + n**5/35 + n**4/7 + 8*n**3/21 - n**2/2 + 1. Let v(m) be the second derivative of w(m). Find g such that v(g) = 0.
-2
Factor -3/5*u**3 + 3/5*u + 3/5*u**2 + 0 - 3/5*u**4.
-3*u*(u - 1)*(u + 1)**2/5
Let w(y) be the third derivative of y**9/3780 + y**8/840 + y**7/630 - 5*y**4/24 - 5*y**2. Let o(i) be the second derivative of w(i). Factor o(h).
4*h**2*(h + 1)**2
Let y = -2 + 5. Let s(m) be the second derivative of 0 + 1/30*m**4 - m + 0*m**y - 1/5*m**2. Let s(w) = 0. Calculate w.
-1, 1
Let t = 2827359/12805 - 3/2561. Let f = t + -220. Factor 2/5*u**3 - f*u - 2/5*u**2 + 0.
2*u*(u - 2)*(u + 1)/5
Let q be ((-4)/25)/((-36)/90) + 0. Suppose -8 = -6*c + 2*c. Factor -2/5*y + 0*y**c + 0 + q*y**3.
2*y*(y - 1)*(y + 1)/5
Let v(p) be the third derivative of p**7/105 - p**6/60 - p**5/15 - 3*p**2. Factor v(w).
2*w**2*(w - 2)*(w + 1)
Let q(k) be the third derivative of 2/525*k**7 - 1/75*k**6 + 0*k**5 + 0*k**4 + 1/420*k**8 + 6*k**2 + 0 + 0*k + 0*k**3. Solve q(n) = 0 for n.
-2, 0, 1
Let m(t) = t**2 + 5*t + 6. Let j be m(-5). Let s(g) be the first derivative of -j*g - 4*g**3 + 3/4*g**4 - 1 + 15/2*g**2. Find p such that s(p) = 0.
1, 2
Suppose -255*r + 19 + 219*r + 2*r**2 + 143 = 0. Calculate r.
9
Let b = 355750 + -35219696/99. Let r = 52/11 + b. Find k such that -8/9 - r*k**2 + 8/9*k = 0.
2
Let n be 1/(-2)*-6 + (13 - 14). Let w(l) be the first derivative of 9/4*l**4 - 3*l**3 + 0*l + 3/2*l**n - 3 - 3/5*l**5. Factor w(m).
-3*m*(m - 1)**3
Let z(a) be the first derivative of a**5/55 - a**3/33 + 44. Suppose z(h) = 0. What is h?
-1, 0, 1
Let b(a) = -9*a**3 + 16*a**2 - 19*a + 4. Let o(j) = j**3 + j**2 + j - 1. Let i(r) = b(r) + 4*o(r). Let i(v) = 0. What is v?
0, 1, 3
Let v be (-473)/3360 + -9*8/(-504). Let o(z) be the third derivative of 0*z**3 + 0*z + 0 - 3*z**2 + 0*z**5 + v*z**6 - 1/96*z**4. Factor o(j).
j*(j - 1)*(j + 1)/4
Let f = 13 - 21. Let u = f + 8. Determine i, given that u*i + 2*i**2 + 3 - 3 + 2*i = 0.
-1, 0
Let h = 238/295 - 2/295. Suppose -4/5*v**3 + 0*v + 4/5*v**5 - 4/5*v**2 + h*v**4 + 0 = 0. What is v?
-1, 0, 1
Let o(u) be the second derivative of 0*u**2 - 1/240*u**5 + 2*u - 1/6*u**3 - 1/96*u**4 + 0 - 1/1440*u**6. Let s(a) be the second derivative of o(a). Factor s(t).
-(t + 1)**2/4
Let t = 184031005/301 - 611398. Let w = -5/43 + t. What is z in -w + 18/7*z**4 - 2*z**2 + 22/7*z - 22/7*z**3 = 0?
-1, 2/9, 1
Factor -4*x**3 + 0 + 8/3*x**4 + 8/3*x**2 - 2/3*x**5 - 2/3*x.
-2*x*(x - 1)**4/3
Let h(t) = -3*t**3 + 29*t**2 + 3*t - 24. Let j(y) = -y**3 + 15*y**2 + y - 12. Let q(p) = -3*h(p) + 5*j(p). Find c such that q(c) = 0.
-1, 1, 3
Let c be (-4)/5*(-45)/6. Suppose -6*x + c = -3*x. What is h in h**5 - h**5 - 3*h**5 - 6*h**3 + x*h**5 - 4*h**4 - 4*h**2 - h = 0?
-1, 0
Suppose -m = -2*k - 14, -4*k = -4*m + 3*m + 26. Let d(v) = -2*v - 9. Let t be d(k). Factor 12*w**4 - 7*w**3 - 2*w + 0*w**5 + 12*w**2 - 11*w**3 - t*w**5 - w.
-3*w*(w - 1)**4
Suppose 0*a**2 - a + a**2 + 3*a - 4*a = 0. Calculate a.
0, 2
Let l(k) be the second derivative of 0 + 2*k + 0*k**3 + 1/42*k**4 + 0*k**2 + 1/70*k**5. Factor l(j).
2*j**2*(j + 1)/7
Suppose 0 = 4*t + 8, 2*t - 3*t = 2*f + 2. Let w(s) be the third derivative of 0 + 2*s**2 + 0*s**3 + f*s + 0*s**4 - 1/270*s**5. Determine k so that w(k) = 0.
0
Let o(g) be the third derivative of g**2 + 1/120*g**6 + 0 + 1/3*g**3 + 0*g + 1/140*g**7 + 0*g**4 - 3/40*g**5. Suppose o(p) = 0. Calculate p.
-2, -2/3, 1
Find s such that 63*s + 5*s**2 + 0*s**2 + 68*s - 11*s + 720 = 0.
-12
Let v(h) be the first derivative of 4*h + 1 - 1/2*h**4 + 0*h**3 + 3*h**2. Factor v(c).
-2*(c - 2)*(c + 1)**2
Let d(n) be the first derivative of n**4/14 - 2*n**3/21 - 5*n**2/7 - 6*n/7 + 25. Factor d(f).
2*(f - 3)*(f + 1)**2/7
Let g(c) = -c**2 - 4*c + 2. Let n be g(-4). Factor -2*f**2 + 2*f + 1 + 3*f**2 + 0*f**n.
(f + 1)**2
Factor -5 + 4*g**2 + 4 - 3.
4*(g - 1)*(g + 1)
Let x(u) = -u + 1. Let s(a) = -4*a**3 + 8*a**2 - 16*a + 12. Let v(w) = -s(w) + 12*x(w). What is l in v(l) = 0?
0, 1
Let v(m) be the second derivative of -m**5/20 + m**4/36 + 3*m**3/2 - 3*m**2/2 + 52*m. Solve v(p) = 0.
-3, 1/3, 3
Suppose -d**3 - 11*d**2 + 4*d + 10*d**2 - 1 + 5 = 0. Calculate d.
-2, -1, 2
Let k = 16 - 14. Factor -2*h - 12 - 3*h**k + 4*h + 4*h + 6*h.
-3*(h - 2)**2
Let p be 2/(-5) + (-234)/15. Let g be (-74)/(-8) - (-4)/p. Factor -6*n**2 + 2 - 9*n + g*n**2 + 4*n**2.
(n - 1)*(7*n - 2)
Let a be 179512/(-252) + 4/(-18). Let i = a - -714. Factor 16/7*k**3 - 4/7*k - i*k**4 + 0 - 2/7*k**2.
-2*k*(k - 1)**2*(5*k + 2)/7
Let r(h) = -h**3 + 2*h**2 + 3*h + 2. Let y be r(3). Suppose 6 = -3*p + 5*p. Factor -2 - i - p - i**3 + 5 + 2*i**y.
-i*(i - 1)**2
Let i(c) be the first derivative of 2*c**5/5 + c**4/2 - 2*c**3/3 - c**2 - 45. Determine h so that i(h) = 0.
-1, 0, 1
Suppose -9 = 5*z - 8*z. Suppose 2*l**2 + l**4 - 2*l**3 - 3*l**3 - l**3 + z*l**3 = 0. Calculate l.
0, 1, 2
Let i(s) = -s - 7. Let y be i(-9). Let x = 0 + y. Factor -4*n**2 + 2*n**2 + 4*n - x + 0*n**2.
-2*(n - 1)**2
Let x(s) be the second derivative of -6*s**2 - 1/4*s**4 + 2*s**3 + 0 - 2*s. Solve x(q) = 0 for q.
2
Let f(b) be the second derivative of -b**6/15 + 7*b**5/10 - 3*b**4 + 20*b**3/3 - 8*b**2 + b. Factor f(s).
-2*(s - 2)**3*(s - 1)
Factor -2/3*a - 4/3*a**2 + 2/3*a**3 + 4/3.
2*(a - 2)*(a - 1)*(a + 1)/3
Let v(j) be the