) = 0.
0, 1
Factor 2*c**2 - 489*c + 527*c - 2 + 33 + 5.
2*(c + 1)*(c + 18)
Let j be (-4 - 6/(-2)) + 3. Let g(i) be the second derivative of 0 - 35/24*i**4 - 2*i**3 - i - i**j. Factor g(a).
-(5*a + 2)*(7*a + 2)/2
Let f be (-20)/(-8) - (-3)/(-6). Let h(d) = -2*d**2 - 4*d. Let m(v) = -4*v**2 - 8*v + 1. Let i(g) = f*m(g) - 5*h(g). Factor i(c).
2*(c + 1)**2
Let l be (-5)/2*204/(-85) - 3. Suppose -8/5*c**4 + 0 + 2/5*c - 8/5*c**2 + 12/5*c**l + 2/5*c**5 = 0. What is c?
0, 1
Let k(f) be the second derivative of f**6/10 - f**5/10 - f**4/12 + 5*f. Factor k(d).
d**2*(d - 1)*(3*d + 1)
Let l(u) be the third derivative of u**5/240 - u**4/96 - u**3/4 + 6*u**2. Factor l(x).
(x - 3)*(x + 2)/4
Let j(b) be the third derivative of -b**9/90720 - b**8/30240 - b**5/20 + 3*b**2. Let o(p) be the third derivative of j(p). Suppose o(h) = 0. Calculate h.
-1, 0
Let m(b) = b**4 + 10*b**3 + 13*b**2 - 56*b + 40. Let f(d) = -3*d**4 - 30*d**3 - 39*d**2 + 169*d - 119. Let i(s) = -4*f(s) - 11*m(s). Find k such that i(k) = 0.
-6, 1
Let q(a) = a**2 - a. Let m = 16 + -11. Let b(f) = -5*f**2 + 0*f**2 + 5*f - 3*f**2 + f**2. Let x(r) = m*q(r) + b(r). Factor x(c).
-2*c**2
Suppose d + 3*d = 8. Find z, given that 2*z**2 + z**3 - 4*z**2 + z**d = 0.
0, 1
Solve 10 - 10 + x**3 + 2 - x + 0*x**2 - 2*x**2 = 0.
-1, 1, 2
Let c = -5 - -15. Find g, given that -4*g**2 + g**2 + c*g**3 - 8*g**4 + 3*g**2 - 2*g**2 = 0.
0, 1/4, 1
Let m(s) be the third derivative of s**8/1680 + s**7/175 + s**6/50 + 2*s**5/75 - 24*s**2. Solve m(x) = 0 for x.
-2, 0
Let s(w) = -w**3 + 3*w**2 - 1. Let p be s(1). Factor -2*d**3 - 1 + p + 0 + 4*d**2 - 2*d.
-2*d*(d - 1)**2
Factor -2/3*p**2 + 2/3*p + 0.
-2*p*(p - 1)/3
Let k(l) be the second derivative of l**5/80 - l**4/48 - l**3/24 + l**2/8 - l - 51. Factor k(b).
(b - 1)**2*(b + 1)/4
Let n(m) be the first derivative of 4*m**5/5 - 5*m**4 + 16*m**3/3 + 26. Find w such that n(w) = 0.
0, 1, 4
Let n(f) be the first derivative of f**9/3780 + f**8/4200 - f**7/2100 - 5*f**3/3 + 6. Let t(m) be the third derivative of n(m). Factor t(v).
2*v**3*(v + 1)*(2*v - 1)/5
Let x(c) = -6*c**4 - 4*c**3 - 6*c**2 + 4*c - 4. Let f(r) = -13*r**4 - 8*r**3 - 13*r**2 + 9*r - 9. Let i(s) = -4*f(s) + 9*x(s). Factor i(h).
-2*h**2*(h + 1)**2
Let t be 48/(-18) + 3 + 0. What is y in -y**2 + 4/3*y - t = 0?
1/3, 1
Solve 0*t - 3/5*t**4 - 24/5*t**2 - 16/5*t**3 + 16/5 = 0 for t.
-2, 2/3
Let f(p) be the third derivative of -1/30*p**5 + 0*p + 1/90*p**6 - 7/72*p**4 + 4/315*p**7 - 1/9*p**3 + 0 + 2*p**2 + 1/336*p**8. Factor f(g).
(g - 1)*(g + 1)**3*(3*g + 2)/3
Factor 305*w**2 + 5*w**4 - 105*w - 346 - 8915*w**3 + 8840*w**3 - 144.
5*(w - 7)**2*(w - 2)*(w + 1)
Determine v, given that 4/11*v**2 - 2/11*v**3 + 0 - 2/11*v = 0.
0, 1
Let d = 13/12 + -17/60. Determine h so that d*h**3 - 2/5*h - 2/5*h**5 + 0*h**2 + 0*h**4 + 0 = 0.
-1, 0, 1
Let o(j) be the second derivative of -j**8/1120 + j**6/240 - 2*j**3/3 + j. Let b(u) be the second derivative of o(u). Suppose b(h) = 0. What is h?
-1, 0, 1
Suppose 30/7*v + 75/7 + 3/7*v**2 = 0. What is v?
-5
Let v(p) = -p - 2. Let x be (-69)/12 - 2/8. Let z be v(x). Determine g, given that 4*g + 6*g**3 - 4*g**2 - 2*g - z*g**3 = 0.
0, 1
Let o(x) be the third derivative of x**6/105 - x**4/28 + x**3/21 + x**2. Suppose o(q) = 0. What is q?
-1, 1/2
Let x(p) = -35*p**3 - 40*p**2 - 20*p. Let v(h) = -h**4 + 37*h**3 + 40*h**2 + 20*h. Let z(r) = -5*v(r) - 6*x(r). Suppose z(t) = 0. What is t?
-2, -1, 0
Let c(n) be the second derivative of -n**7/105 + 2*n**6/75 - n**4/15 + n**3/15 + 7*n. Factor c(r).
-2*r*(r - 1)**3*(r + 1)/5
Let a(t) be the third derivative of -t**5/270 + t**4/18 - 5*t**3/27 - 30*t**2 + 2. Factor a(i).
-2*(i - 5)*(i - 1)/9
Suppose -4*c = -4*r - 32, -5*r = c - 2*r + 12. Factor -2/3*p**5 + 0 + 0*p**2 + 0*p + 4/3*p**4 - 2/3*p**c.
-2*p**3*(p - 1)**2/3
Let u(p) = -p - 2. Let m be u(-4). Factor -18*o - 2*o**2 + 0*o**2 - o**m - 27.
-3*(o + 3)**2
Suppose -t - t + 19 = 3*s, 3*t - 12 = s. Let y be 3 - s/(-2 + 3). Determine p, given that -1/2*p**3 + 0 + 1/2*p**4 + y*p + 0*p**2 = 0.
0, 1
Let d(v) = v**3 - 8*v**2 - 10*v + 11. Suppose -3*w = -43 + 16. Let i be d(w). Solve 2*f**5 - 2*f**3 + 2*f**3 - 2*f**4 - i*f**4 = 0.
0, 2
Let a = 2 - 0. Suppose 0 = a*m + 5*f - 28, 11 - 43 = -3*m - 5*f. Suppose -5*p**2 + 0*p - 3*p + m - 3 + 4*p**4 + 3*p**3 = 0. What is p?
-1, 1/4, 1
Determine h, given that 0 - 3/5*h - 1/5*h**2 = 0.
-3, 0
Suppose -s = -r + 2*r - 3, 5*r = 4*s - 21. What is k in 7/4*k**s - k**5 + 0*k - 1/4*k**2 + 0 - 1/2*k**3 = 0?
-1/4, 0, 1
Let d(z) be the first derivative of -1/9*z**3 + 2/3*z**2 - 4 - 4/3*z. Factor d(w).
-(w - 2)**2/3
Suppose -124 + 91 = -11*w. Let -14*t**w + 62/5*t**2 + 16/5*t - 8/5 = 0. Calculate t.
-2/5, 2/7, 1
Let m = 145 + -1011/7. Let j be (-51)/(-105) + ((-14)/(-10))/(-7). Factor j*g**5 + 0 - m*g**3 + 0*g**4 + 0*g**2 + 2/7*g.
2*g*(g - 1)**2*(g + 1)**2/7
Suppose -2 = -4*x + 6. Find i such that -3*i**2 + 0*i + 0 + x*i + 2*i**2 - 1 = 0.
1
Let y(a) be the second derivative of a**5/90 - 2*a**4/27 + a**3/9 - 5*a. Let y(g) = 0. What is g?
0, 1, 3
Find i such that -i - 3/2*i**3 + 5/2*i**2 + 0 = 0.
0, 2/3, 1
Let i(a) be the first derivative of -4*a**5/5 - 4*a**4 - 8*a**3/3 + 8*a**2 + 12*a + 14. Solve i(k) = 0.
-3, -1, 1
Suppose 3/7*f**2 + 1/7*f**4 + 0 - 1/7*f - 3/7*f**3 = 0. What is f?
0, 1
Find u such that 3*u**2 - 24/5*u - 12/5 = 0.
-2/5, 2
Let -52*h**4 - 16*h**4 - 12*h**3 - 29*h**5 + 8*h**4 - 46*h**5 = 0. Calculate h.
-2/5, 0
Suppose -2*m - 64 = -8. Let v be 2/(-8) + (-1015)/m. Suppose -v*b**5 + 9*b**2 + 2*b**2 - 1 + 7*b**2 - 4*b**3 - 57*b**4 = 0. Calculate b.
-1, -1/4, 1/3
Let o(b) = -b**2 + b + 1. Let n(p) = 3*p**2 - 3*p - 6. Suppose -4*q - 3*k + 14 = -2*q, 0 = k - 4. Let m(h) = q*n(h) + 6*o(h). Factor m(r).
-3*r*(r - 1)
Let p(z) be the third derivative of -z**8/1512 - z**7/315 + z**6/270 + z**5/45 - z**4/108 - z**3/9 + 16*z**2. Determine g so that p(g) = 0.
-3, -1, 1
Factor 1/3*s**4 - 1/3*s**5 - 1/3*s**2 + 0*s + 0 + 1/3*s**3.
-s**2*(s - 1)**2*(s + 1)/3
Let i(b) be the first derivative of -1/21*b**7 - 3 - b**2 - 1/3*b**4 - 1/5*b**5 + 1/5*b**6 + b**3 - 4*b. Let q(g) be the first derivative of i(g). Factor q(w).
-2*(w - 1)**4*(w + 1)
Let i(l) be the second derivative of l**5/210 - l**4/14 + 3*l**3/7 + 2*l**2 - l. Let d(p) be the first derivative of i(p). Factor d(t).
2*(t - 3)**2/7
Let u(y) = 5*y**3 - 4*y**2 - 2. Let l(j) = j**2 + 1. Let b = 4 - -1. Let p(f) = f - 9. Let c be p(b). Let q(s) = c*l(s) - 2*u(s). Factor q(k).
-2*k**2*(5*k - 2)
Let c(o) = 3*o**2 - 12*o + 17. Let h(w) be the second derivative of -w**4/12 + w**2/2 - 2*w. Let g(i) = -c(i) - h(i). Factor g(q).
-2*(q - 3)**2
Suppose -2*z + 6 = 2*u, 3*z + 9 = 5*u + 26. Let w be -4*u/2 + 1. Factor -w*s**4 - 6*s**5 + 2*s**5 - s**2 - 3*s**3 + 3*s**5.
-s**2*(s + 1)**3
Let o(t) be the second derivative of -t**4/18 + t**3/9 + 25*t. Factor o(x).
-2*x*(x - 1)/3
Solve 444/7*n**2 - 48/7*n + 0 - 1080/7*n**3 + 243/7*n**4 = 0 for n.
0, 2/9, 4
Let d be (-2)/3*(-9)/2. Determine t so that t**d - 74 + 2*t**2 + 74 = 0.
-2, 0
Let n(u) = -2*u**2 - 4*u. Let j(i) = 3*i**2 + 5*i. Let o(k) = 3*j(k) + 4*n(k). What is z in o(z) = 0?
0, 1
Let u(s) be the second derivative of -s**4/66 - 4*s**3/33 - 7*s. Solve u(k) = 0 for k.
-4, 0
Suppose k = 2*b + 12, -b - 7 = -2. What is h in -4/3 + 2*h**3 + 4/3*h**k - 2*h = 0?
-1, -2/3, 1
Let k(x) = -50*x**2 + 205*x + 220. Let m(f) = -3*f**2 + 12*f + 13. Let n(d) = -2*k(d) + 35*m(d). Solve n(l) = 0 for l.
-1, 3
Solve 2/21*z**2 + 0 - 16/21*z = 0 for z.
0, 8
Let d be 2/(-6) - 4/(-6). Let f(n) = -n**3 - 6*n**2 + n + 8. Let l be f(-6). Determine i, given that -d + 0*i + 2/3*i**l - 1/3*i**4 + 0*i**3 = 0.
-1, 1
Let x(n) be the third derivative of 0*n**3 - 2*n**2 + 1/140*n**7 + 1/80*n**6 + 0*n + 0*n**4 + 0*n**5 + 0. Factor x(y).
3*y**3*(y + 1)/2
Let h(d) = -5*d**2 + 84*d - 32. Let v(z) = 3*z**2 - 42*z + 16. Let c(l) = 2*h(l) + 5*v(l). Let c(x) = 0. What is x?
2/5, 8
Let o(l) be the third derivative of 22/105*l**7 + 0*l**3 + 0 + 2*l**2 + 3/10*l**6 - 1/6*l**4 + 0*l + 1/21*l**8 + 1/15*l**5. Factor o(f).
4*f*(f + 1)**3*(4*f - 1)
Let i = 13/77 - -1/77. Factor 2/11*z - i*z**2 + 4/11.
-2*(z - 2)*(z + 1)/11
Suppose 3*o = 4*c - 2, -c - 4*o = -0*c - 10. Let g(k) be the first derivative of 0*k**3 + 0*k**2 + 0*k - 1/4*k**4 + 1/5*k**5 - c. 