*3 - 3*v**2 + 4*v - 5. Let r(g) = -5*f(g) + n(g). Factor r(q).
-q*(q - 1)**2
Let p(n) be the second derivative of n**7/4200 - n**5/200 - n**4/60 - n**3/6 + 3*n. Let b(j) be the second derivative of p(j). Factor b(v).
(v - 2)*(v + 1)**2/5
Suppose -43 = 37*z - 117. Suppose -558/5*t**z - 105*t**3 - 204/5*t - 24/5 - 147/5*t**4 = 0. Calculate t.
-2, -1, -2/7
Factor 0 + 2*q - 2/3*q**2.
-2*q*(q - 3)/3
Let b(z) be the second derivative of -z**4/138 - z**3/23 - 2*z**2/23 + 14*z. Determine y so that b(y) = 0.
-2, -1
Let y(o) = o**4 - o**3 - o**2 - o. Let i(u) = 7*u**4 + 28*u**3 - 17*u**2 - 57*u. Let m(p) = -i(p) - 3*y(p). Let m(s) = 0. Calculate s.
-2, 0, 3/2
Let f be 45/(-18)*(-2)/60. Let r(n) be the second derivative of 0 - f*n**4 - 1/2*n**2 + n + 1/3*n**3. Factor r(i).
-(i - 1)**2
What is p in 4*p + 16/3 - 4/3*p**2 = 0?
-1, 4
Suppose 2*y + 6 = -y. Let k be (-19)/(-6) + y/(-6). Factor k*u**3 - 5/2*u**2 + 0 - u.
u*(u - 1)*(7*u + 2)/2
Let l(d) = -d**2 - 12*d - 24. Let m be l(-9). Let r(s) be the first derivative of 0*s**2 + 3 + 0*s - 1/8*s**4 + 1/6*s**m. What is x in r(x) = 0?
0, 1
Let r(b) be the second derivative of -b**5/100 - b**4/60 + 2*b**3/15 + 2*b**2/5 + 46*b. Factor r(h).
-(h - 2)*(h + 1)*(h + 2)/5
Let j(n) = 9*n**3 - 9*n**2 - 7*n. Suppose -2*f = -15 - 7. Let u(g) = 5*g**3 - 5*g**2 - 4*g. Let o(a) = f*u(a) - 6*j(a). Factor o(x).
x*(x - 2)*(x + 1)
Let v(n) be the second derivative of n**5/30 - n**4/18 - 5*n**3/9 - n**2 + 8*n. Let v(b) = 0. Calculate b.
-1, 3
Let o(q) = -2*q**3. Let w be o(-1). Factor -3*s - 2*s**4 + w*s + 2*s**5 + s.
2*s**4*(s - 1)
Let j(f) be the second derivative of 3*f**5/100 - f**4/20 - f**3/10 + 3*f**2/10 + 7*f. Suppose j(z) = 0. Calculate z.
-1, 1
Let c(y) be the first derivative of -7/4*y**4 + 3 - y**2 + 0*y - 3*y**3. Factor c(b).
-b*(b + 1)*(7*b + 2)
Let z = -1344 - -1347. Factor -1/10*n**2 - 1/10*n**4 + 3/10*n + 1/5 - 3/10*n**z.
-(n - 1)*(n + 1)**2*(n + 2)/10
Suppose 2*n**4 - 3*n**2 - 2*n**4 + 3*n**4 = 0. Calculate n.
-1, 0, 1
Suppose 3*v = -0*v + 15. Factor x**2 - 8*x + v*x**2 - 2*x**2.
4*x*(x - 2)
Let s(k) = 6*k + 78. Let i be s(-13). Solve i - 4/5*j**2 + 1/5*j = 0 for j.
0, 1/4
Suppose -b - 3*g + 0*g = 37, -3*b - 121 = 4*g. Let j = -41 - b. Factor 1/3*s**j + 0 - 1/3*s**4 + 2/3*s**3 - 2/3*s.
-s*(s - 2)*(s - 1)*(s + 1)/3
Let b = -3 + 4. Suppose 5*g + b = 16. Solve 2*v + 2*v + v**g - 5*v = 0.
-1, 0, 1
Let l = 541/21 - 178/7. Factor -l*h - 1/3 + 1/3*h**3 + 1/3*h**2.
(h - 1)*(h + 1)**2/3
Let q be (6/(-4))/((-4)/8). Factor 4 + 2*h**2 - 10*h - 2*h**3 - 6*h**2 + 13*h**q - h**3.
2*(h - 1)*(h + 1)*(5*h - 2)
Suppose 4/7*i - 4/7*i**3 + 0*i**2 + 2/7 - 2/7*i**4 = 0. Calculate i.
-1, 1
Find s such that -1/5*s**3 - 1/5*s**4 + 3/5*s**2 + 1/5*s - 2/5 = 0.
-2, -1, 1
Let j be 12/54 - (-40)/(-18). Let z be (1 - 1) + 2 - j. Determine n so that 5 - n**3 - 5 - n**z = 0.
-1, 0
Suppose 3 = -3*n + 5*g - 0*g, 0 = -2*n + 3*g - 2. Let r(y) = 3*y**2 + 2*y - 1. Let k(z) = -4*z - z**2 + 3*z + z. Let t(i) = n*r(i) - 4*k(i). Factor t(u).
(u - 1)**2
Let c(x) = -x. Let g(n) = -8*n**2 - 8*n - 2. Let p(s) = -s**3 + s**2 + s. Let k be p(-1). Let o(a) = k*g(a) + 2*c(a). Factor o(t).
-2*(t + 1)*(4*t + 1)
Let o(z) be the first derivative of 40*z**6/3 + 88*z**5 + 765*z**4/4 + 545*z**3/3 + 155*z**2/2 + 15*z + 51. Let o(m) = 0. What is m?
-3, -1, -1/4
Let j = 30 - 30. Let n(m) be the third derivative of 5/24*m**4 - m**2 - 1/20*m**5 + j - 1/3*m**3 + 0*m. Factor n(o).
-(o - 1)*(3*o - 2)
Let d(p) = -4*p**2 + 4*p + 10. Let t(j) = -j. Let r(w) = d(w) - 2*t(w). Let i(o) = o - 1. Let v(q) = -6*i(q) + r(q). Factor v(s).
-4*(s - 2)*(s + 2)
Let r(i) be the third derivative of -i**8/672 + i**7/140 - i**6/80 + i**5/120 + 6*i**2. Let r(t) = 0. What is t?
0, 1
Suppose -2*c + 4*d - 14 = c, -d + 9 = 2*c. Find k, given that 2/7 + 2/7*k**c - 4/7*k = 0.
1
Suppose 3*a + 8*g - 16 = 7*g, 4*a + 3*g = 28. Factor -1/3*b + 0 + 1/3*b**3 + 1/3*b**2 - 1/3*b**a.
-b*(b - 1)**2*(b + 1)/3
Let t = 4/87 + 1463/348. Let l = t + -15/4. Factor -1/2*q + 0 + l*q**3 + 0*q**2.
q*(q - 1)*(q + 1)/2
Let w = -5 - 2. Let o(g) = -8*g**2 + g + 9. Let z(h) = -7*h**2 + h + 8. Let m(n) = w*z(n) + 6*o(n). Let m(f) = 0. Calculate f.
-1, 2
Suppose 4*w + 3*h + 11 = 2*w, 4*w + 3*h = -7. What is u in -2*u + 4*u**2 - 4*u**2 - 2*u**2 - w*u = 0?
-2, 0
Factor 5*y**2 + 10*y - 4 + 3 + 6.
5*(y + 1)**2
Let m = -6553/204 + 70/51. Let a = 31 + m. Factor a*u**3 + 1/4*u**2 - 1/4*u**4 + 0 - 1/4*u.
-u*(u - 1)**2*(u + 1)/4
Suppose 3*y + 1 = 10. Let k(l) be the third derivative of 1/18*l**y + 0*l + 0 - l**2 + 0*l**4 - 1/180*l**5. What is i in k(i) = 0?
-1, 1
Let d be ((-1)/2)/(21/(-84)). Factor -1/2*n**2 - 2*n - d.
-(n + 2)**2/2
Factor -10 - 4*q - q + 7*q**4 - 20*q - 5*q**2 + 25*q**3 + 8*q**4.
5*(q - 1)*(q + 1)**2*(3*q + 2)
Let g = -14 - -18. Factor -2/5*h - 6*h**3 + 0 + 14/5*h**2 + 18/5*h**g.
2*h*(h - 1)*(3*h - 1)**2/5
Let m(l) = -3*l + 48. Let j be m(15). Solve -4/3 + 32/3*z**2 + 34*z**j + 32*z**5 - 6*z - 208/3*z**4 = 0.
-1/4, 2/3, 1
Let f(y) = y**2 - y + 1. Let g(m) = -9*m**2 - 27*m - 69. Let n(p) = 5*f(p) + g(p). Let n(d) = 0. Calculate d.
-4
Let g(r) = -15*r**4 + 21*r**3 - 6*r**2 + 6*r + 6. Let n(a) = a**4 - a**3 + a + 1. Suppose 2*f - 2 = -14. Let l(x) = f*n(x) + g(x). Factor l(s).
-3*s**2*(s - 1)*(7*s - 2)
Let q(w) be the second derivative of 1/18*w**4 - 5*w + 1/9*w**3 + 0 + 0*w**2. Factor q(h).
2*h*(h + 1)/3
Let v(c) = c**2 + 3*c - 5 + 4 - 5. Let r be v(-5). Determine g, given that -6*g**3 - g + 2 + 4*g**2 - g**5 + r*g**4 - 2 = 0.
0, 1
Let j be 39/6 + (-6)/4. Let 3*x - x + j*x**3 - 3*x**3 + 5*x**2 - x**2 = 0. Calculate x.
-1, 0
Let f(x) be the second derivative of -x**6/60 - 3*x**5/40 - x**4/12 - 9*x. Find a such that f(a) = 0.
-2, -1, 0
Suppose 0 = 5*d - 10, -d = 7*h - 2*h + 98. Let j be (h/(-6))/(2/3). Determine c so that -4*c - c**2 + c + 3 - j = 0.
-2, -1
Let f be 6/(-4)*12/(-9). Factor z**f + 3 + 3*z**2 - 2*z - z - 7*z**2 + 3*z**3.
3*(z - 1)**2*(z + 1)
Suppose 4*n - 43 - 13 = 0. Let v be (5/(-7))/((-2)/n). Factor -3/4*m**4 + 0 - 1/4*m**2 + 1/4*m**v + 0*m + 3/4*m**3.
m**2*(m - 1)**3/4
Let u(i) = -i**2 - 9*i - 3. Let f(r) = -8*r - 4. Let z(y) = 5*f(y) - 4*u(y). Let z(c) = 0. Calculate c.
-1, 2
Suppose 2*u + 1 = 5. Let p(d) be the third derivative of 0 + 0*d + 1/15*d**4 + 4/15*d**3 - u*d**2 + 1/150*d**5. Factor p(x).
2*(x + 2)**2/5
Let k(t) = -t**2 + 6*t - 3. Let c(o) = -6*o + 3. Let u(p) = -2*c(p) - 3*k(p). Determine g, given that u(g) = 0.
1
Let x(k) be the first derivative of -37*k**4 - 70*k**2 + 24*k + 3 + 236/3*k**3 + 28/5*k**5. Let x(c) = 0. What is c?
2/7, 1, 3
Suppose 6 = -5*d + 2*d + 3*k, -30 = -5*d - 3*k. Let 9/4*y + 0*y**2 + 3/4 - d*y**3 = 0. What is y?
-1/2, 1
Let s = -838 - -9224/11. Factor s*a - 2/11*a**2 - 4/11.
-2*(a - 2)*(a - 1)/11
Suppose -2*g = g - 4*k - 23, 3*g + 5*k = -22. Factor 2*t + 7 - g + 19*t + 15*t**2.
3*(t + 1)*(5*t + 2)
Let u(g) be the first derivative of -4*g**3/9 - 2*g**2 + 16*g/3 + 14. Solve u(x) = 0 for x.
-4, 1
Let q(v) be the second derivative of v**4/54 + v**3/27 + v. Factor q(j).
2*j*(j + 1)/9
Let r(p) = -15*p**3 + 42*p**2 - 3*p. Let z(n) = 16*n**3 - 41*n**2 + 4*n + 1. Let u(b) = -5*r(b) - 6*z(b). What is s in u(s) = 0?
-2/7, 1
Let b(o) be the third derivative of o**7/525 + o**6/300 - o**5/150 - o**4/60 - o**2 + 15*o. Suppose b(a) = 0. Calculate a.
-1, 0, 1
Factor -42/17*z**3 + 38/17*z**2 + 0 - 12/17*z - 2/17*z**5 + 18/17*z**4.
-2*z*(z - 6)*(z - 1)**3/17
Let q(i) be the first derivative of -9*i**6/40 - 3*i**5/10 - i**4/8 + 3*i**2/2 + 1. Let f(p) be the second derivative of q(p). Factor f(r).
-3*r*(3*r + 1)**2
Let f(a) be the second derivative of 8/3*a**4 - 7/10*a**5 + 2*a**2 + 0 + 5*a - 11/3*a**3. Suppose f(q) = 0. What is q?
2/7, 1
Let f(v) be the first derivative of -v**8/140 - v**7/280 + v**6/30 + v**5/40 - 4*v**3/3 + 4. Let y(a) be the third derivative of f(a). What is h in y(h) = 0?
-1, -1/4, 0, 1
Factor 0 - 3/2*r**3 + 0*r + 0*r**2 + 3/2*r**4.
3*r**3*(r - 1)/2
Let w(d) = -d + 9. Let v be w(7). Find i, given that 6*i**2 - 16*i - 2*i**3 + 11*i**2 + 28 - 20 - 7*i**v = 0.
1, 2
Let t(n) = -n**2 - 4*n + 3. Suppose -3*c + 3*g - 40 + 16 = 0, -2*c = 5*g - 12. Let s be t(c). Factor -8 - s*o**2 - 2*o**2 + 3*o**2 + 10*o - 2*o.
-2*(o - 2)**2
Let d(s) be the second derivative of -1/100*s**5 