m) = 0. What is m?
-2, 1
Let d(o) be the first derivative of -o**6/30 + o**4/5 - 2*o**3/15 - 3*o**2/10 + 2*o/5 - 6. Determine g, given that d(g) = 0.
-2, -1, 1
Let m(l) = l**3 + 5*l**2 - 4*l - 6. Let j(s) = 2*s**3 + 12*s**2 - 8*s - 13. Let b(z) = -6*j(z) + 15*m(z). Determine f so that b(f) = 0.
-2, -1, 2
Let t(d) be the second derivative of d**6/15 - d**5/5 - 2*d**4/3 + 2*d**3/3 + 3*d**2 - 34*d. Factor t(p).
2*(p - 3)*(p - 1)*(p + 1)**2
Suppose 12 + 4/3*z**2 + 8*z = 0. What is z?
-3
Factor 20*z**5 + 1520*z + 668*z**3 - 320 - 348*z**2 - 728*z**2 - 1224*z**2 - 260*z**4 + 537*z**3.
5*(z - 4)**3*(2*z - 1)**2
Let x(o) = 12*o**2 - 10*o + 2. Let j(v) = 11*v**2 - 9*v + 1. Let s(n) = 4*j(n) - 3*x(n). Let s(z) = 0. What is z?
-1/4, 1
Suppose -4*a = -0*v + 4*v + 8, a + 2 = 3*v. Find c, given that 2/3*c**3 + 0*c + v - 1/3*c**2 = 0.
0, 1/2
Solve q + 4*q + 4*q**2 - 5*q = 0 for q.
0
Let m(y) be the third derivative of -y**5/20 + 5*y**4/8 - 3*y**3 + 26*y**2. What is r in m(r) = 0?
2, 3
Let k(n) = -18*n**3 + 15*n**2 + 12*n. Let o(d) = -d**3 + d**2. Let t(j) = k(j) - 15*o(j). What is q in t(q) = 0?
-2, 0, 2
Let o = -40 - -29. Let i = o + 35/3. Find b such that i*b**4 + 0 + 2/3*b**3 + 0*b - 2/3*b**2 - 2/3*b**5 = 0.
-1, 0, 1
Suppose 4*c + 1 = 9. Let g(t) = 4*t + c*t**2 - t**2 - 3*t. Let n(y) = -4*y**2 - 4*y. Let p(b) = -6*g(b) - n(b). Factor p(k).
-2*k*(k + 1)
Let y = -31119/80 + 389. Let k(l) be the second derivative of -1/120*l**6 - l + 1/48*l**4 + 0*l**2 + 0 - 1/24*l**3 + y*l**5. Factor k(b).
-b*(b - 1)**2*(b + 1)/4
Let z(u) be the first derivative of -u**8/560 - 3*u**7/280 - u**6/40 - u**5/40 + 2*u**3/3 - 3. Let y(g) be the third derivative of z(g). Solve y(s) = 0.
-1, 0
Let z = 101/255 - -1/255. Determine b, given that -z*b - 2/5*b**2 + 0 = 0.
-1, 0
Let q(d) be the first derivative of d**4/2 - 10*d**3/3 + 4*d**2 - 21. Solve q(g) = 0 for g.
0, 1, 4
Let h(o) be the first derivative of o**5 - 15*o**4/4 + 5*o**3 - 5*o**2/2 - 14. What is a in h(a) = 0?
0, 1
Find y such that -8/7 - 2/7*y**2 - 8/7*y = 0.
-2
Let v(o) be the third derivative of -o**7/1050 + o**6/600 + o**5/150 + 10*o**2. Factor v(u).
-u**2*(u - 2)*(u + 1)/5
Let g(q) be the second derivative of q**7/840 + q**3/6 - 3*q. Let s(b) be the second derivative of g(b). Factor s(k).
k**3
Let n = 4 - 7/2. Let s(q) be the first derivative of -n*q**2 + 1/6*q**3 + 1 + 1/2*q. Factor s(p).
(p - 1)**2/2
Suppose y + 8*y = y. Let s(h) be the first derivative of 2/7*h**3 + 2/7*h**2 + 1/14*h**4 + y*h + 1. Determine b so that s(b) = 0.
-2, -1, 0
Let j(c) be the second derivative of 3/2*c**2 - 1/4*c**4 - 1/2*c**3 + 3/20*c**5 + 0 - 2*c. Find f, given that j(f) = 0.
-1, 1
Let q(i) be the third derivative of 0*i**5 + 0 + 0*i**4 + 0*i + 1/210*i**7 - 1/120*i**6 + i**2 + 0*i**3. Solve q(x) = 0 for x.
0, 1
Let w(q) be the second derivative of 1/60*q**4 + 0*q**2 - 4*q + 1/150*q**6 + 0 + 0*q**3 - 1/50*q**5. Factor w(m).
m**2*(m - 1)**2/5
Factor -4/11*f**2 + 0*f + 10/11*f**3 - 8/11*f**4 + 2/11*f**5 + 0.
2*f**2*(f - 2)*(f - 1)**2/11
Let k be (-1)/7*-17 + -1. Let x be (2/(-6))/((-6)/54). Determine h, given that 0 - 4/7*h - k*h**4 + 10/7*h**2 + 4/7*h**x = 0.
-1, 0, 2/5, 1
Let h(f) be the first derivative of 7*f**6/36 - 2*f**5/5 + f**4/8 + f**3/9 - 8. What is x in h(x) = 0?
-2/7, 0, 1
Let f(t) be the third derivative of 7*t**5/5 + t**4/3 - 4*t**2. Factor f(h).
4*h*(21*h + 2)
Let g(v) be the first derivative of -v**8/560 - v**7/420 + v**6/360 - 4*v**3/3 - 5. Let h(l) be the third derivative of g(l). Let h(w) = 0. Calculate w.
-1, 0, 1/3
Let t(g) = g. Let c(v) = 4*v**3 - 8*v**2 + 16*v. Let y(i) = -c(i) + 12*t(i). Factor y(s).
-4*s*(s - 1)**2
Suppose -2*m + 24 = 4*o, -m + 2*o - 4 = 4. Factor -6*t**m + 9*t**2 + 21 - 24*t + 27.
3*(t - 4)**2
Suppose 0 = 2*i + 5*i - 35. Let s(v) be the third derivative of -1/150*v**6 + 1/30*v**4 + 1/30*v**3 + 0 - 1/300*v**i + 0*v - 3*v**2. Factor s(f).
-(f - 1)*(f + 1)*(4*f + 1)/5
Suppose -5*i - 285 = -60. Let m be (-10)/i + 2/(-9). Suppose 2/5*q + 2/5*q**2 + m = 0. Calculate q.
-1, 0
Let c(z) be the first derivative of 2/3*z + 0*z**2 - 6 - 2/9*z**3. Determine w so that c(w) = 0.
-1, 1
Let 9*b**2 + 39*b**3 - 36*b**5 - 8*b**4 - 3*b**3 + 3*b**2 - 4*b**2 = 0. What is b?
-1, -2/9, 0, 1
Let q(f) be the third derivative of -f**5/360 - f**4/24 - f**3/4 - 4*f**2. Factor q(i).
-(i + 3)**2/6
Solve 373*w**2 + w**4 + 2*w**4 - 376*w**2 = 0 for w.
-1, 0, 1
Let a be (30/8)/(6/(-16)). Let j = -8 - a. Determine h so that 1/4*h**j - 1/4*h - 1/2 = 0.
-1, 2
Let x = -6/13 - -68/91. Factor 4/7*k - 4/7*k**3 + 0*k**2 + x - 2/7*k**4.
-2*(k - 1)*(k + 1)**3/7
Let g(d) = d**2 - 3*d - 5. Let f be g(5). Suppose -15 = 3*a, 0*a - 30 = -f*z - a. Factor -2*j**4 - j**3 - z*j + 7*j - j**5.
-j**3*(j + 1)**2
Let s(v) be the third derivative of -v**6/300 + v**4/20 - 2*v**3/15 - 3*v**2. Factor s(r).
-2*(r - 1)**2*(r + 2)/5
Let z be (-4)/48*21*4/(-14). Find y, given that 5/4*y**3 - y**4 - z*y**2 + 0*y + 1/4*y**5 + 0 = 0.
0, 1, 2
Suppose -14*k = -12*k - 8. Let q(h) be the second derivative of -1/12*h**k + 3*h + 1/6*h**3 + 0 - 1/20*h**5 + 0*h**2 + 1/30*h**6. What is v in q(v) = 0?
-1, 0, 1
Let b(y) = y**3 - y**2 + y + 5. Let j be b(0). Factor 2/7 - 4/7*s**2 + 2/7*s**4 + 2/7*s**j + 2/7*s - 4/7*s**3.
2*(s - 1)**2*(s + 1)**3/7
Factor -g**4 - g**4 + 0*g**4 + 4*g**4 + g**5.
g**4*(g + 2)
Factor -1/2*n + 1/4*n**2 + 1/4.
(n - 1)**2/4
Let q(r) be the second derivative of -3/100*r**5 + 0 + 5*r + 0*r**4 + 0*r**2 + 0*r**3. Factor q(j).
-3*j**3/5
Let m be (2 + 4)*7/21. Factor -2/3*j + 2/9*j**m + 4/9.
2*(j - 2)*(j - 1)/9
Suppose z - 3 = -2*z. Let t be (5/((-70)/(-4)))/z. Factor -t*x + 0 - 2/7*x**2.
-2*x*(x + 1)/7
Let w(q) = 4*q**3 - 20*q**2 + 20*q. Let m(z) = 4*z**3 - 19*z**2 + 19*z. Let p(t) = -4*m(t) + 3*w(t). Factor p(i).
-4*i*(i - 2)**2
Determine x so that 2/15*x**4 + 0 - 2/3*x**3 + 4/5*x**2 + 0*x = 0.
0, 2, 3
Let x(j) be the first derivative of -2*j**5/75 + j**4/15 - 2*j**3/45 - 3. Find o, given that x(o) = 0.
0, 1
Let b(z) be the third derivative of z**7/13860 + z**6/660 + 3*z**5/220 - z**4/8 - 4*z**2. Let l(q) be the second derivative of b(q). Factor l(n).
2*(n + 3)**2/11
Let t be (0/(2/1))/(-1). Determine s so that t + 0*s - 2/9*s**2 = 0.
0
Let x(o) be the second derivative of -o**5/30 - o**4/9 - o**3/9 - 8*o. Factor x(h).
-2*h*(h + 1)**2/3
Suppose 8*y + 25 = 3*y. Let b(m) = 2*m**4 - 3*m**3 + 2. Let h(r) = -4*r**4 + 5*r**3 + r**2 - 5. Let u(k) = y*b(k) - 2*h(k). Solve u(x) = 0 for x.
0, 1/2, 2
Let n(x) = x**2 - 11*x - 12. Let v be n(14). Let u = v + -26. Find s, given that -1/2*s**5 + 0*s - s**2 + 0 + 0*s**u + 3/2*s**3 = 0.
-2, 0, 1
Find t such that -8/9*t**3 + 0 + 2/9*t**4 - 4/9*t + 10/9*t**2 = 0.
0, 1, 2
Let x = -10 - -15. Let k be 8/(-4)*x/(-2). Factor 10*t**2 + k - 4*t - 5.
2*t*(5*t - 2)
Solve 0 - p**2 + 1/7*p**4 - 4/7*p - 2/7*p**3 = 0.
-1, 0, 4
Let b(v) be the third derivative of -1/525*v**7 - 1/300*v**6 + 0 + 1/60*v**4 - v**2 + 0*v + 1/150*v**5 + 0*v**3. Solve b(r) = 0.
-1, 0, 1
Solve -3*i**3 + 19*i - 15*i - i**3 = 0.
-1, 0, 1
Let w(f) be the second derivative of f**6/45 - 13*f**5/30 + 10*f**4/3 - 112*f**3/9 + 64*f**2/3 - 8*f. Determine d, given that w(d) = 0.
1, 4
Let q(n) be the first derivative of n**4/18 - 2*n**3/9 - 15. Determine k, given that q(k) = 0.
0, 3
Let h(c) be the second derivative of -16/33*c**3 + 1/55*c**5 + 0 - 5/22*c**4 + 1/33*c**6 + 5*c - 4/11*c**2. What is t in h(t) = 0?
-1, -2/5, 2
Let g be (3/2)/(30/20). Let j = 1 + g. Solve 2/9*z - 2/9*z**j + 0 = 0.
0, 1
Let o(c) be the third derivative of c**8/336 - c**7/210 - c**6/120 + c**5/60 - 4*c**2. Factor o(z).
z**2*(z - 1)**2*(z + 1)
Suppose 0 = -6*t + 3*t - 3*i + 9, 0 = -2*t + 3*i + 1. Factor 60*g**3 + 6*g**2 - 33*g + 6 + 3*g**2 + 12*g**t.
3*(g + 1)*(4*g - 1)*(5*g - 2)
Factor -1/5*t**2 + 0 - 1/5*t.
-t*(t + 1)/5
Let p(v) = v. Let m be p(2). Factor 2*g**2 + 0*g**3 + m*g**3 + 0*g**2.
2*g**2*(g + 1)
Let s(o) = -o**3 + 8*o**2 + 10*o - 1. Let f be s(9). Let t(z) be the first derivative of f*z + 98*z**3 - 42*z**2 - 2 - 343/4*z**4. Find a, given that t(a) = 0.
2/7
Let l = 12 - 24. Let z be l/(-66) - 1/(-55). Factor 1/5 - z*g**2 + 0*g.
-(g - 1)*(g + 1)/5
Let q(b) = 2*b**2 + b - 5. Let l be q(0). Let i be 0/(-4*l/20). Factor 0 + i*k - 1/4*k**2.
-k**2/4
Let y(t) = 3*t**3 + 9*t**2 + 14*t + 3.