- 3/4*v**w - 3/4*v**4 = 0.
-1, 0
Find c such that -15*c**4 + 16*c**2 - 116*c**2 - 60*c**3 - 4*c**5 + 51*c**4 = 0.
-1, 0, 5
Let c be 4/126*(11 + 4). Let y(k) be the first derivative of 0*k + 1 - c*k**3 + 1/7*k**4 - 2/7*k**2 + 2/7*k**5. Solve y(d) = 0.
-1, -2/5, 0, 1
Let u(l) be the third derivative of -l**5/240 + l**4/96 + 9*l**2. Factor u(n).
-n*(n - 1)/4
Let b(t) be the second derivative of 1/2*t**2 + 1/12*t**4 + 0 - 1/3*t**3 + 7*t. Let b(z) = 0. What is z?
1
Factor -20/3*l - 8/3 - 8/3*l**2 + 16/3*l**3 + 16/3*l**4 + 4/3*l**5.
4*(l - 1)*(l + 1)**3*(l + 2)/3
Let v(k) be the third derivative of 1/1440*k**6 + 0*k + 1/24*k**4 - k**2 + 0 + 1/120*k**5 + 1/3*k**3. Let d(a) be the first derivative of v(a). Factor d(i).
(i + 2)**2/4
Let t = 20 + -16. Suppose 3/4*d**t + 3/4*d - 1/2*d**2 - 1/2*d**3 - 1/4 - 1/4*d**5 = 0. What is d?
-1, 1
Let f be (16/(-72))/((-4)/294). Let v = 17 - f. Find a such that -2/3*a**3 + 1/3*a**5 - 1/3*a**4 + 1/3*a - 1/3 + v*a**2 = 0.
-1, 1
Let f(b) be the first derivative of 3*b**5/100 + b**4/6 + 3*b**3/10 + b**2/5 + 2*b + 5. Let v(u) be the first derivative of f(u). Let v(r) = 0. What is r?
-2, -1, -1/3
Let w(p) be the second derivative of -p**4/30 + p**3/15 + 2*p**2/5 + 20*p. What is r in w(r) = 0?
-1, 2
Let j be 4/(-14) + 102/14. Suppose 6*q + 2 = j*q. Find x, given that -1/5*x + 0 - 3/5*x**3 - 4/5*x**q = 0.
-1, -1/3, 0
Let h(a) be the third derivative of 3*a**7/140 + 11*a**6/80 + 3*a**5/10 + a**4/4 + 16*a**2. Find j such that h(j) = 0.
-2, -1, -2/3, 0
Let x(t) be the first derivative of -t**4/42 - 4*t**3/21 - 4*t**2/7 - 3*t + 3. Let p(o) be the first derivative of x(o). Suppose p(q) = 0. What is q?
-2
Let v be 2/8 - ((-31)/(-28) - 2). Factor -32/7*x - 38/7*x**3 + 50/7*x**2 + 2*x**4 + v - 2/7*x**5.
-2*(x - 2)**2*(x - 1)**3/7
Factor -2/11*v**4 + 0 + 2/11*v**3 - 2/11*v + 2/11*v**2.
-2*v*(v - 1)**2*(v + 1)/11
Let w be 3*(-2)/(8/140). Let s be ((-55)/w)/(1/6). Determine q so that -s*q**4 + 10/7*q - 4/7 - 2/7*q**3 + 26/7*q**2 - 8/7*q**5 = 0.
-2, -1, 1/4, 1
Let i(s) = 2*s**2. Let c(a) = 12*a**2 - 24*a - 72. Let b(l) = 2*c(l) - 14*i(l). Suppose b(u) = 0. Calculate u.
-6
Let k(v) be the second derivative of v**6/30 - v**4/2 + 4*v**3/3 - 3*v**2/2 + 18*v. Factor k(d).
(d - 1)**3*(d + 3)
Suppose -5*h = -23 + 13. Factor -1/4*o**h + 0 - 1/2*o.
-o*(o + 2)/4
Let r(p) be the first derivative of -3*p**5/20 + p + 1. Let z(u) be the first derivative of r(u). Suppose z(d) = 0. What is d?
0
Let r(s) = 55*s**4 - 395*s**3 - 10*s**2 + 1320*s + 945. Let y(p) = -5*p**4 + 36*p**3 + p**2 - 120*p - 86. Let b(v) = 6*r(v) + 65*y(v). Factor b(g).
5*(g - 4)**2*(g + 1)**2
Suppose 0 = 3*z + 17 + 28. Let y be z/25 + 28/30. Factor 1/6 + 1/6*p**4 + y*p**3 - 1/6*p**5 - 1/6*p - 1/3*p**2.
-(p - 1)**3*(p + 1)**2/6
Let r be (-112)/980 - (-2)/5. Let w be -1 - (0 + (-22)/14). Factor -r*c**2 - 6/7*c - w.
-2*(c + 1)*(c + 2)/7
Suppose -12*z = -9*z - 12. Solve -x**z + 9/4*x**3 - 15/4*x**5 - 1/2*x**2 + 0 + 0*x = 0.
-1, 0, 1/3, 2/5
Let t(r) be the first derivative of 5*r**3/3 - 5*r**2/2 + 14. Let t(w) = 0. What is w?
0, 1
Let c(l) = -l - 1. Let d be c(-5). Suppose -d*b = -7*b - 9, 6 = 4*q - 2*b. Factor q - 2/9*p - 2/9*p**3 + 4/9*p**2.
-2*p*(p - 1)**2/9
Let u(z) be the first derivative of 10*z**6/3 + 9*z**5 + 15*z**4/2 + 5*z**3/3 + 12. Factor u(j).
5*j**2*(j + 1)**2*(4*j + 1)
Let v(d) be the first derivative of 1/2*d**2 + 0*d - 2 - 1/3*d**3. Factor v(x).
-x*(x - 1)
Let l = 10 - 0. Let s(g) = -8*g**2 - 30*g - 12. Let q(i) = -3*i**2 - 10*i - 4. Let t(k) = l*q(k) - 3*s(k). Factor t(n).
-2*(n + 1)*(3*n + 2)
Let i(y) = 6 + y + 2*y - 5*y**2 + 2. Let c(z) = 21*z**2 - 12*z - 33. Let p(f) = -2*c(f) - 9*i(f). Find t, given that p(t) = 0.
-1, 2
Suppose 58 = -3*p + 148. Let h = 61/2 - p. What is i in -2*i**3 - h*i + 0 + 2*i**2 = 0?
0, 1/2
Let j(c) = 8*c**2 - c - 2 - 1 + 2*c. Let g(o) be the third derivative of -7*o**5/60 + o**3/3 + o**2. Let s(d) = -3*g(d) - 2*j(d). Factor s(t).
t*(5*t - 2)
Let a(o) = o**3 + 4*o**2 + o + 3. Let d(f) = -f**2 - 1. Let b(q) = -a(q) - 3*d(q). Let s be b(0). Suppose -3/2*k**4 + k**3 + s*k + 0 + 1/2*k**2 = 0. What is k?
-1/3, 0, 1
Let c(z) be the first derivative of z**4/24 - z**3/6 + z**2/4 - z/6 + 2. Factor c(t).
(t - 1)**3/6
Let n(z) be the first derivative of -1/2*z + 1/6*z**3 + 3 - 1/4*z**2 + 1/8*z**4. Factor n(h).
(h - 1)*(h + 1)**2/2
Let l(z) be the third derivative of -1/24*z**4 + z**2 + 0*z**3 + 0*z - 1/60*z**5 + 0. Let l(u) = 0. Calculate u.
-1, 0
Let s = -7/180 - -83/1980. Let a(c) be the third derivative of -1/66*c**4 + 0*c + 0 - s*c**5 + 0*c**3 - c**2. Find m such that a(m) = 0.
-2, 0
Factor 9/2*s**2 + 33/2*s - 6.
3*(s + 4)*(3*s - 1)/2
Let r(p) be the third derivative of 0*p**4 + 0*p - 1/30*p**5 + 5*p**2 + 0*p**3 + 1/30*p**6 - 1/105*p**7 + 0. Find x, given that r(x) = 0.
0, 1
Let f(t) be the first derivative of 3*t**4/20 - 3*t**3/5 + 12*t/5 + 8. Factor f(g).
3*(g - 2)**2*(g + 1)/5
Let y(x) be the third derivative of -x**7/1260 + x**6/540 + x**5/90 - 2*x**3/3 - 2*x**2. Let v(l) be the first derivative of y(l). Find a, given that v(a) = 0.
-1, 0, 2
Factor 1/4*j + 0*j**2 + 0 - 1/4*j**3.
-j*(j - 1)*(j + 1)/4
Suppose -11*b = -8*b - 12. Suppose -5*m = -2*s, 0*s - 3*s + 7 = -b*m. Factor -4/5 + 2/5*u**m + 2/5*u.
2*(u - 1)*(u + 2)/5
Let w = 13 - 9. Solve 2*q**2 + q**4 - 3*q**w - q + q = 0 for q.
-1, 0, 1
Let w = 2176/2301 - 4/177. Let -2/13*h**2 - 18/13 + w*h = 0. Calculate h.
3
Let w = -305/31 - -37586/3565. Let r = -7/23 + w. Solve -2/5 + 2/5*d**2 - 2/5*d + r*d**3 = 0.
-1, 1
Let g(x) be the third derivative of 0*x**3 + 0*x**4 + 0*x + 0 + 1/160*x**6 - 4*x**2 + 0*x**5. Factor g(l).
3*l**3/4
Factor -28*h**2 - 16 - 35*h**2 + 18*h + 87*h**2 - 26*h**2.
-2*(h - 8)*(h - 1)
Let j = 124 - 122. Factor -3/5*b**j + 9/5*b - 6/5.
-3*(b - 2)*(b - 1)/5
Let l(u) be the third derivative of -u**2 + 1/60*u**6 + 0 - 1/12*u**4 - 1/30*u**5 + 0*u + 1/3*u**3. Factor l(n).
2*(n - 1)**2*(n + 1)
Let n(z) be the third derivative of -2*z**7/525 - z**6/25 + 16*z**4/15 - 36*z**2. Suppose n(w) = 0. What is w?
-4, 0, 2
Let 22/5*i**2 - 18/5 - 6*i + 4/5*i**4 + 22/5*i**3 = 0. Calculate i.
-3, -1/2, 1
Let y(c) = -c**2 + 6*c + 4. Let o be y(7). Let z be (2/18)/((-1)/o). Determine q, given that z*q**4 + 0 + 2/3*q**3 + 1/3*q**2 + 0*q = 0.
-1, 0
Determine q, given that 2/3 - 2/3*q**2 - 1/3*q**5 - q + 4/3*q**3 + 0*q**4 = 0.
-2, -1, 1
Let s(c) = -c + 4. Let k be s(-10). Let r be -4*(26/k + -2). Factor 2/7*z**2 - r + 2/7*z.
2*(z - 1)*(z + 2)/7
Suppose -b = -y - 3, -6*b + 10*b - 18 = y. Factor 0*i + 2/5*i**y + 0.
2*i**2/5
Let r(k) = -k**2 + 5*k**3 - 9*k**3 - 11*k**2 + 2*k**3 - 6*k - 2. Let l(i) = 6*i**3 + 35*i**2 + 18*i + 6. Let j(b) = 6*l(b) + 17*r(b). Solve j(h) = 0.
-1
Suppose t = -2*t + 18. Let y(z) be the third derivative of 0 + 0*z - 3*z**2 + 1/180*z**t + 1/45*z**5 + 1/36*z**4 + 0*z**3. Factor y(l).
2*l*(l + 1)**2/3
Suppose 0 = 2*i - 10 - 6. Determine d, given that 28*d**4 - 8*d - 18*d**5 + 24*d**3 - d**5 + 3*d**5 - 36*d**2 + i*d**2 = 0.
-1, -1/4, 0, 1, 2
Factor 2/7*d**2 + 4/7*d - 6/7.
2*(d - 1)*(d + 3)/7
Let w(f) = f**5 - 3*f**4 - f**3 + 8*f**2. Let a(l) = 2*l**4 - 4*l**2. Let i(s) = 5*a(s) + 2*w(s). Let i(v) = 0. Calculate v.
-2, -1, 0, 1
Let z(g) be the second derivative of -1/6*g**3 + 1/60*g**6 + 0 + 3*g + 0*g**4 - 1/4*g**2 + 1/20*g**5. Factor z(k).
(k - 1)*(k + 1)**3/2
Let k = 150 + -147. Let 18/5*p**k - 26/5*p**4 + 2/5*p**2 - 4/5*p + 0 + 2*p**5 = 0. What is p?
-2/5, 0, 1
Let t be 0 - (11 + -3)/(-4). Factor x**t + 6*x**3 - 5*x**2 + 5*x - 2 - 5*x**3.
(x - 2)*(x - 1)**2
Let t = 80 - 80. Let r(s) be the first derivative of 0*s - 4/27*s**3 + 0*s**5 - 3 + 1/27*s**6 - 1/6*s**4 + t*s**2. Solve r(v) = 0.
-1, 0, 2
Suppose -r - 3 = -0. Let l = r + 5. Factor -4*y + 6*y**2 + 4*y**l + 0*y.
2*y*(5*y - 2)
Let q(c) = -c - 8. Let v be q(-8). Let -2*f**2 - 6*f - 2*f**4 + 0*f**2 - 6 + v*f**2 + 6*f**3 + 10 = 0. Calculate f.
-1, 1, 2
Solve c + 0 - 1/2*c**2 = 0 for c.
0, 2
Let v(o) be the first derivative of 2*o**3/21 + o**2/7 - 4*o/7 - 3. Factor v(p).
2*(p - 1)*(p + 2)/7
Solve -4/7*q - 4/7*q**4 + 0 - 12/7*q**3 - 12/7*q**2 = 0 for q.
-1, 0
Let w(o) be the third derivative of 2/15*o**3 + 4*o**2 + 1/60*o**4 + 0 - 1/150*o**5 + 0*o. Factor w(k).
-2*(k - 2)*(k + 1)/5
Suppose 4*o + 2 = 10. Let f(b) be the first d