 - 15*w**3 + 4*w**4 = 0. Calculate w.
-1, -1/2, 0
Let b(i) be the second derivative of -i**4/90 + 2*i**3/45 - 6*i. Determine f, given that b(f) = 0.
0, 2
Find u, given that -9*u**2 + 30*u - 25 + 4*u**2 - 20 = 0.
3
Let j be 9/(-6)*118/1. Let r = j - -1595/9. Factor 0 + 0*q + 2/9*q**3 - r*q**2.
2*q**2*(q - 1)/9
Suppose -3*b - 12 = -2*v, 0 = v - 3*b - b - 16. Let c(j) be the second derivative of 1/24*j**4 - 1/6*j**3 + j + 1/4*j**2 + v. Factor c(g).
(g - 1)**2/2
Let m be (-84)/16 + (-2)/(-8). Let r = 7 + m. Suppose 0*h**3 + 5*h + h**2 - h**4 - 5*h**3 - r*h**4 + 2 = 0. Calculate h.
-1, -2/3, 1
Determine i so that 4/13*i + 0 - 2/13*i**2 - 4/13*i**3 + 2/13*i**4 = 0.
-1, 0, 1, 2
Factor 1/5*u**3 + 1/5 - 1/5*u**2 - 1/5*u.
(u - 1)**2*(u + 1)/5
Suppose -a - 2*a = 0. Let j(p) be the third derivative of -1/60*p**5 + 0*p**4 + 0 + 0*p - 1/60*p**6 - 1/210*p**7 + 2*p**2 + a*p**3. Factor j(u).
-u**2*(u + 1)**2
Suppose -3*w - 2*r + 2 + 1 = 0, w = 2*r + 9. Find y, given that -8/7*y + 2/7*y**2 - 2/7 + 8/7*y**w = 0.
-1, -1/4, 1
Let y be 44/(-16) + 3 + 33/12. Suppose 0*q - 5/3*q**y + 0 - 1/3*q**2 - 7/3*q**4 - q**5 = 0. What is q?
-1, -1/3, 0
Solve 1/9*w**2 - 4/9*w**3 - 5/9*w**4 + 0*w + 0 = 0.
-1, 0, 1/5
Let v(x) be the second derivative of -3*x**5/100 + x**4/5 - 2*x**3/5 - 10*x. What is t in v(t) = 0?
0, 2
Let j be 231/33 - (-77)/(-13). Suppose 16/13*v - j*v**3 - 2/13*v**2 + 10/13*v**4 - 2/13*v**5 - 8/13 = 0. What is v?
-1, 1, 2
Suppose -i + 3*z + 14 = 0, -i + 0*i + 5*z = -22. Let d(b) be the second derivative of 1/10*b**5 + 2*b + 0 + 1/2*b**4 + b**i + b**3. Factor d(k).
2*(k + 1)**3
Let n(r) = 6*r**2 + r. Let d(u) = -u**2 + 0*u**2 + 2*u**2. Let v(o) = 11*o. Let p be v(2). Let f(h) = p*d(h) - 4*n(h). Factor f(t).
-2*t*(t + 2)
Let v(k) be the first derivative of 4*k**5/15 + 3*k**4/2 + 22*k**3/9 - 8*k/3 + 5. Suppose v(c) = 0. What is c?
-2, -1, 1/2
Suppose k + 2 - 4 = 0. Let i(f) be the second derivative of -f + f**4 - k*f**2 + 0 - 1/3*f**3. Find n, given that i(n) = 0.
-1/2, 2/3
Let b(q) be the third derivative of -q**8/1176 - q**7/147 - q**6/42 - q**5/21 - 5*q**4/84 - q**3/21 - 13*q**2. Suppose b(a) = 0. What is a?
-1
Let d be -3 + 4 - 6/(-10). Let u(g) be the first derivative of 1 + 1/20*g**4 - 2/5*g**3 - d*g + 6/5*g**2. Factor u(t).
(t - 2)**3/5
Let p(n) be the third derivative of 0*n + 1/60*n**5 - 1/24*n**4 + 0 - 1/210*n**7 + 0*n**3 + 1/120*n**6 + n**2. Solve p(d) = 0.
-1, 0, 1
Let v(u) be the second derivative of -u**5/70 - u**4/7 - 8*u**3/21 + 28*u. Find k, given that v(k) = 0.
-4, -2, 0
Let f(k) be the third derivative of k**5/60 - k**4/12 + 10*k**2. Find u, given that f(u) = 0.
0, 2
Let n(q) be the first derivative of -q**4/4 + q**3/3 + q**2/2 - q + 1. Determine b, given that n(b) = 0.
-1, 1
Let p be (-10)/(-5) - (-3 + 1). Factor -6*r**p - 8*r**3 - 2*r**5 + 2*r**3 - 2*r**2 + 0*r**2.
-2*r**2*(r + 1)**3
Let y be -6 + 1 + -11*2/(-4). Solve -3/4 + 1/4*x**2 - y*x = 0 for x.
-1, 3
Let z(v) = 2*v**2 + 5*v + 3. Let k be -1 + 4/(-1 + 2). Let m(p) = 3*p**2 + 6*p + 4. Let u(s) = k*m(s) - 4*z(s). Factor u(y).
y*(y - 2)
Let b(u) = -7*u**5 + 9*u**4 + 7*u**3 - 3*u + 3. Let q(h) = -h**4 + h**3 - h + 1. Let f(x) = -b(x) + 3*q(x). Factor f(m).
m**3*(m - 2)*(7*m + 2)
Let s(w) be the first derivative of -3/2*w**2 - 10 + 0*w + w**3. Factor s(z).
3*z*(z - 1)
Let z(a) = -a**3 + 11*a**2 + 13*a - 8. Let x be z(12). Determine i so that -4/3*i + 0*i**2 + 2/3 + 4/3*i**3 - 2/3*i**x = 0.
-1, 1
Let v be 1/(-3) - (-18)/(-27). Let z be (9/6)/(5 - v). Let -1 - u - z*u**2 = 0. What is u?
-2
Let p(z) be the third derivative of -z**5/6 - 5*z**4/24 + 5*z**3 + 26*z**2. Suppose p(b) = 0. Calculate b.
-2, 3/2
Suppose 2*x = -4*o + 18, 0 = 2*o + 3*x + 2*x - 29. Factor -16*v + 16*v - 2*v**o.
-2*v**2
Let j = 52 - -5. Let m be 2*(j/15 - 3). Factor -8/5*u - m - 2/5*u**2.
-2*(u + 2)**2/5
Let p(q) be the first derivative of 4*q**3/9 + 16*q**2/3 + 64*q/3 - 13. Factor p(i).
4*(i + 4)**2/3
Let f(t) be the third derivative of -t**6/1260 + t**5/420 + t**4/42 - t**3/2 - t**2. Let c(n) be the first derivative of f(n). Factor c(i).
-2*(i - 2)*(i + 1)/7
Let y(l) be the third derivative of -l**5/60 + l**4/24 + l**3/3 - 36*l**2. Factor y(v).
-(v - 2)*(v + 1)
Let a(j) = j**3 + 2*j**2 + 5*j. Let y(z) = 6*z**3 + 11*z**2 + 26*z - 1. Let b(p) = -11*a(p) + 2*y(p). Factor b(u).
(u - 2)*(u + 1)**2
Let l = 30 + -27. Factor -56/9*h - 16/9 - 2*h**l - 20/3*h**2.
-2*(h + 2)*(3*h + 2)**2/9
Let p(f) = -f**2 - 5*f - 3. Let j(n) = 0 + 9*n + 2*n**2 - 1 + 6. Let k be 3/(-3 + 36/10). Let t(d) = k*p(d) + 3*j(d). Find x, given that t(x) = 0.
-2, 0
Let i(p) be the second derivative of p**5/24 + 23*p**4/72 + 5*p**3/9 - p**2 + 25*p. Factor i(w).
(w + 2)*(w + 3)*(5*w - 2)/6
Factor 4*r - r - 6 - 19*r - 12*r**2 - 11*r.
-3*(r + 2)*(4*r + 1)
Suppose -y + 2*y - 22 = -5*f, -3*f + 10 = -y. Let r = -2 + f. Factor -18 - 2*k**4 + 8*k**2 + 14 - 2*k**2 + 2*k - r*k**3.
-2*(k - 1)**2*(k + 1)*(k + 2)
Let m(w) be the third derivative of w**7/840 - w**6/180 + w**5/120 - w**3/3 + 3*w**2. Let t(y) be the first derivative of m(y). Factor t(d).
d*(d - 1)**2
Suppose 0 = -0*z + 4*z. Let s(l) be the third derivative of -1/10*l**5 + 0 - 1/6*l**4 + l**2 + z*l + 0*l**3. Find y such that s(y) = 0.
-2/3, 0
Let v(s) be the third derivative of 0*s + 1/40*s**6 + 6*s**2 - 1/10*s**5 + 0*s**4 + 0 + 0*s**3. Suppose v(w) = 0. Calculate w.
0, 2
Let n(o) be the third derivative of -o**8/504 - o**7/315 + o**6/180 + o**5/90 + 3*o**2. Let n(a) = 0. What is a?
-1, 0, 1
Let d(r) be the second derivative of 1/6*r**3 - 2*r + 0*r**2 - 3/5*r**5 - 1/12*r**4 + 0. Let d(l) = 0. What is l?
-1/3, 0, 1/4
Let s(j) = j - 1. Let l(g) = -g**2 - 8*g + 11. Let h(k) = 2*l(k) + 22*s(k). Factor h(n).
-2*n*(n - 3)
Let j = 99 - 99. Let b(g) be the second derivative of j + 1/24*g**4 + 0*g**3 - g + 1/40*g**5 + 0*g**2. Factor b(t).
t**2*(t + 1)/2
Let k(y) be the third derivative of -y**7/210 + y**6/72 - y**5/180 - y**4/72 + 9*y**2. Factor k(a).
-a*(a - 1)**2*(3*a + 1)/3
Solve -32/9*l**2 - 4/3*l**3 - 16/9*l + 0 = 0 for l.
-2, -2/3, 0
Let g(k) = 4*k**2 - 12*k + 8. Let h(x) = 4*x**2 - 11*x + 7. Let t(i) = -3*g(i) + 4*h(i). Factor t(j).
4*(j - 1)**2
Let g be (-4 + 1)/((-6)/4). Factor u**4 + 2*u - 1 + g*u**3 - 4*u**3 + 3*u**4 - 3*u**4.
(u - 1)**3*(u + 1)
Find q such that -7*q**5 - q**4 + 6*q**5 + q**3 + 2*q**2 + q**2 - 2*q**2 = 0.
-1, 0, 1
Let f be (12/(-9))/(2/(-6)). Suppose -f*y + 5*b = -27, 8*y - 3*y - 5*b - 30 = 0. Factor m**y - m**3 + m**4 - m**2.
m**2*(m - 1)*(m + 1)
Let m(s) be the first derivative of -s**6/12 - 3*s**5/5 - 9*s**4/8 + 36. Find d such that m(d) = 0.
-3, 0
Let l(s) be the first derivative of -8/3*s**3 + 1/2*s**2 - 4 + 0*s + 4*s**4. Solve l(t) = 0 for t.
0, 1/4
Let m(n) be the first derivative of -4/21*n**3 + 1/7*n**2 - 1 + 0*n + 1/14*n**4. Find t such that m(t) = 0.
0, 1
Let x be (-7)/(3/2 + -1). Let u be x/(-63) + (-68)/(-18). Factor -1/2*k**2 - 3/2*k**3 + 1 - 1/2*k**u + 3/2*k.
-(k - 1)*(k + 1)**2*(k + 2)/2
Let g(j) be the first derivative of 0*j + 7 + 5/4*j**6 - 21/8*j**4 + 3/2*j**3 - 9/10*j**5 + 3/2*j**2. Let g(y) = 0. Calculate y.
-1, -2/5, 0, 1
What is z in 1/8*z**2 + 0 + 1/8*z = 0?
-1, 0
Let n(j) = -j**5 - j**4 - j - 1. Let z = 6 - 5. Let i(v) = 58*v**5 + 60*v**4 - 58*v**3 - 62*v**2 + 4*v + 6. Let f(w) = z*i(w) + 2*n(w). Solve f(b) = 0 for b.
-1, -2/7, 1/4, 1
Find k, given that 4/9*k**3 - 2/9 + 14/9*k**2 + 1/3*k - 7/9*k**5 - 4/3*k**4 = 0.
-1, 2/7, 1
Factor -2/7*d**2 + 12/7*d - 18/7.
-2*(d - 3)**2/7
Let o(m) be the third derivative of -m**7/420 + m**6/120 + m**5/40 - m**4/12 - m**3/3 - 7*m**2. What is f in o(f) = 0?
-1, 2
Let m(g) = -28*g**4 + 13*g**3 + 33*g**2 - 29*g + 3. Let h(z) = -19*z**4 + 9*z**3 + 22*z**2 - 19*z + 2. Let d(x) = -8*h(x) + 5*m(x). Solve d(q) = 0 for q.
-1, 1/4, 1/3, 1
Let a(d) be the third derivative of d**5/270 - d**4/54 + d**3/27 + 6*d**2. Determine b, given that a(b) = 0.
1
Let d = -1/3324 + 693611/9972. Let h = 70 - d. Suppose 0 + h*l + 2/9*l**2 - 2/3*l**4 - 8/9*l**3 = 0. Calculate l.
-1, 0, 2/3
Solve 8*c**3 + 4*c + 2 - 12*c - 4*c**4 + 2 = 0.
-1, 1
Let y(g) = g - 3. Let l be y(5). Let o be (-1)/(l/5) + 3. Factor -1/4*w**2 - o*w - 1/4.
-(w + 1)**2/4
Find p such that 17/2*p**3 - 5/2*p - 3 + 13/2*p**2 + 5/2*p**4 = 0.
-2, -1, 3/5
Let k(s) = s**2 - 5*s + 4. Let l be