late q.
0, 1
Let t = 137 + -682/5. Let 0 + 3/5*b**3 - t*b + 3/5*b**4 - 3/5*b**2 = 0. Calculate b.
-1, 0, 1
Let s(i) be the second derivative of 0 + 0*i**4 + 5*i + 1/130*i**5 + 0*i**3 + 0*i**2 - 1/273*i**7 + 0*i**6. Let s(x) = 0. What is x?
-1, 0, 1
Let f be 96/45 + (-14)/105. Factor -x**5 + 2*x**4 + 74*x**3 - 2*x**f + 3*x**5 - 76*x**3.
2*x**2*(x - 1)*(x + 1)**2
Determine m, given that -2/15*m**2 + 0 + 106/3*m = 0.
0, 265
Let q(u) be the third derivative of u**8/784 + u**7/98 - 3*u**6/140 - 11*u**5/70 + 37*u**4/56 - 15*u**3/14 + 355*u**2. Factor q(a).
3*(a - 1)**3*(a + 3)*(a + 5)/7
Suppose 0 = -k + 5*m + 27, 0 = 26*k - 21*k + 3*m + 5. Let s(g) be the first derivative of -g - 1/6*g**3 + 3/4*g**2 + k. Solve s(l) = 0 for l.
1, 2
Factor 5/2 + 1/2*a**5 - 11/2*a + a**2 + 5*a**3 - 7/2*a**4.
(a - 5)*(a - 1)**3*(a + 1)/2
Let q be (0 - -5)*4/10. Let s be 3 + 0 + -11 + (-1768)/(-170). Factor -12/5*z - 3/5*z**q - s.
-3*(z + 2)**2/5
Factor 3/5*i**4 - 63/5*i**3 + 0 - 3/5*i**2 + 63/5*i.
3*i*(i - 21)*(i - 1)*(i + 1)/5
Let o be (12/10)/(11/(-55)) - 0. Let b be -4 - (o + 6) - (0 - 4). Factor -1/3*g**4 + 1/3*g**3 + 0 + 0*g + b*g**2.
-g**3*(g - 1)/3
Let b(l) = 9*l**2 + 3*l + 2. Let x be b(-1). Let t = -4 + x. Factor -6*k**3 + 5*k + 9*k**5 - 6*k**5 + 3*k**t + 4 - 6*k**2 - 2*k - 1.
3*(k - 1)**2*(k + 1)**3
Let a = -70043 + 8685387/124. Let l = a + -6/31. Factor -1/4*p**4 - l*p**5 + 0 + 1/4*p**2 + 0*p + 1/4*p**3.
-p**2*(p - 1)*(p + 1)**2/4
Factor -1/6*w**3 + 0 + 0*w + 43/6*w**2.
-w**2*(w - 43)/6
Let c(g) = -4*g**4 - 6*g**3 + 4*g**2 - g - 7. Let y(q) = q**4 + q**2 + q - 1. Let f(b) = -c(b) - 5*y(b). Solve f(z) = 0.
-1, 2, 3
Let y(q) be the third derivative of -q**8/84 - 2*q**7/5 - 4*q**6 - 20*q**5/3 + 58*q**2 - q. What is r in y(r) = 0?
-10, -1, 0
Suppose -w + 1 = -5*c + 2, -w = 3*c - 7. Let a be ((-5)/(-2)*w)/11. Solve 8/11*p**2 + a*p + 4/11 + 2/11*p**3 = 0 for p.
-2, -1
Let f(j) = -j - 11. Let c be f(-13). Suppose -c*n + 16 = 2*n. Suppose 0 + 4/9*y**3 + 2/9*y**2 + 0*y + 2/9*y**n = 0. What is y?
-1, 0
Let p(y) be the third derivative of -y**6/108 - 23*y**5/270 + 20*y**4/27 - 28*y**3/27 - 25*y**2. Find r, given that p(r) = 0.
-7, 2/5, 2
Let w(x) = 18*x**3 - 23*x**2 - 12*x + 23. Let g(j) = -2*j**3 - j**2 + 1. Let r(u) = -3*g(u) - w(u). Factor r(n).
-2*(n - 1)*(n + 1)*(6*n - 13)
Let u(z) be the third derivative of 0*z**3 + 0*z - 1/120*z**4 + 6*z**2 + 0 - 1/300*z**5. Factor u(o).
-o*(o + 1)/5
Let j(l) = -l**2 - 216*l - 1863. Let p be j(-9). Factor -7/2*x**2 + x**3 + 0*x + p.
x**2*(2*x - 7)/2
Let o be (3441/(-21) - -1)*-3. Let n = 492 - o. Factor -7*i**3 + n*i - 3*i**2 - 4/7.
-(i + 1)*(7*i - 2)**2/7
Let v(n) = 5*n - 42. Let g be v(9). Let k(i) be the second derivative of -5/12*i**4 + g*i**3 + 4*i**2 + 0 - 12*i. Find j, given that k(j) = 0.
-2/5, 4
Let j(o) = -o**3 + 10*o**2 - 19*o - 28. Let r be j(7). Let u be (3 - (-36)/r)/(10/35). Suppose -1/2*t + 3/2 + 1/2*t**3 - u*t**2 = 0. Calculate t.
-1, 1, 3
Let k = 0 + -3. Let r be (-1)/k + 20/12. Factor 6*c**2 - 5*c**2 - 4 + 3*c**r.
4*(c - 1)*(c + 1)
Let j(m) = -10*m**2 - 14*m + 30. Let f(s) = 2*s**3 + 21*s**2 + 27*s - 59. Let g(d) = 2*f(d) + 5*j(d). Suppose g(o) = 0. What is o?
-2, 2
Let s(r) be the first derivative of r**6/72 - 22*r**3/3 + 9. Let c(l) be the third derivative of s(l). What is w in c(w) = 0?
0
Let r = -11 - -10. Let t be 0/(r/(-1 + 0)). Find n, given that -2*n**5 - n**3 + t*n**5 + 3*n**5 = 0.
-1, 0, 1
Let u(d) be the third derivative of d**5/30 + 131*d**4/6 + 17161*d**3/3 - 441*d**2. Determine s, given that u(s) = 0.
-131
Let c(a) be the first derivative of -5/24*a**4 - 5 - 3/80*a**5 - 6*a - 1/4*a**2 - 3/8*a**3. Let x(n) be the first derivative of c(n). Find q such that x(q) = 0.
-2, -1, -1/3
Let h(q) be the first derivative of -q**5/40 - q**4/6 - 5*q**3/12 - q**2/2 - 21*q - 2. Let s(j) be the first derivative of h(j). Factor s(i).
-(i + 1)**2*(i + 2)/2
Let k(d) = d**3 + 5*d**2 - 7*d - 4. Let r be k(-6). Let 3/10*v**r + 0 + 1/5*v**3 - 1/10*v**4 + 0*v = 0. Calculate v.
-1, 0, 3
Let u(l) be the first derivative of -l**8/2800 + l**7/700 - l**5/100 + l**4/40 - 22*l**3/3 + 16. Let w(q) be the third derivative of u(q). Factor w(c).
-3*(c - 1)**3*(c + 1)/5
Let f(d) be the second derivative of d**6/15 + 2*d**5/5 - 3*d**4 - 36*d**3 - 135*d**2 - 262*d. Factor f(c).
2*(c - 5)*(c + 3)**3
Let w(z) = 1 - 9*z + 4*z**2 - 1. Let b(d) = -2*d - 18*d**2 - 4*d**2 + 23*d**2. Let f(r) = 18*b(r) - 4*w(r). Suppose f(p) = 0. Calculate p.
0
Determine j, given that 2/19*j**5 - 34/19*j + 0*j**3 - 8/19*j**4 + 28/19*j**2 + 12/19 = 0.
-2, 1, 3
Find z such that -16/9*z + 0 + 2/9*z**3 + 14/9*z**2 = 0.
-8, 0, 1
Let k(w) be the second derivative of 0*w**2 + 0*w**4 - 4*w + 0 - 3/20*w**5 + 1/2*w**3. Find d, given that k(d) = 0.
-1, 0, 1
Let y(w) = 4*w**2 + 8*w - 144. Let d(l) = -2. Let c(m) = -24*d(m) - y(m). Factor c(i).
-4*(i - 6)*(i + 8)
Let j(k) be the first derivative of -2*k**6/3 + 4*k**5/5 + k**4 - 4*k**3/3 + 270. Solve j(m) = 0.
-1, 0, 1
Let q(h) = h**5 - h**4 + 2*h**3 - h**2 - 2. Let v(a) = -a**5 + 22*a**4 + 93*a**3 - 60*a**2 - 340*a - 196. Let c(i) = 4*q(i) + 2*v(i). Let c(w) = 0. What is w?
-10, -1, 2
Let u(j) = j**2 + j + 8. Let w(p) = -p**2 + 8*p - 7. Let l be w(7). Let d be u(l). Suppose -g**2 + 3*g**2 - 4*g**2 - d*g**3 = 0. Calculate g.
-1/4, 0
Let d be ((-12)/(-10))/(4/10). Suppose -3*l = d*n + 6, -3*l - l = -4*n - 24. Suppose -l*z + z - 3*z**2 + 4*z**2 = 0. Calculate z.
0, 1
Suppose 41 + 49 = 30*q. Let b(r) be the first derivative of 4*r**2 - 4 - 4/3*r**q - 2*r**4 + 0*r + 4/5*r**5. Determine x, given that b(x) = 0.
-1, 0, 1, 2
Let v(a) be the second derivative of -1/6*a**3 - 3/10*a**5 - 2/15*a**6 + 8*a + 0*a**2 - 1/42*a**7 - 1/3*a**4 + 0. Factor v(l).
-l*(l + 1)**4
Determine m, given that 4403*m**4 + 4*m**2 + 5*m**5 - 6*m**3 - 2*m**5 + 3*m**5 - 4407*m**4 = 0.
-1, 0, 2/3, 1
Suppose -3*h = w + 6, -2 = 3*w - 3*h + 4*h. Let i = -995 + 1016. Factor i*y**3 + 3*y**2 + 147/4*y**4 + w*y + 0.
3*y**2*(7*y + 2)**2/4
Let x be 13/(65/2) + (-26)/(-10). Let y(t) be the second derivative of 8*t + 0 + 2/3*t**x + 1/6*t**4 + t**2. Factor y(j).
2*(j + 1)**2
Let b(g) = g + 1. Let v(d) = 5*d**2 + 10*d + 50. Suppose 4*j = -2*i + 4, 4*j + 0*i - 4 = -3*i. Let s(l) = j*v(l) - 30*b(l). Factor s(n).
5*(n - 2)**2
Let g(t) be the first derivative of t**9/504 - t**8/105 + t**7/60 - t**6/90 - 8*t**3/3 - 13. Let f(p) be the third derivative of g(p). Factor f(x).
2*x**2*(x - 1)**2*(3*x - 2)
Let c(r) be the second derivative of r**6/270 + r**5/20 + 2*r**4/9 + 10*r**3/27 + 352*r. Solve c(j) = 0.
-5, -2, 0
Let 4*f**2 + 4/5*f**3 + 32/5*f + 16/5 = 0. Calculate f.
-2, -1
Let k(l) be the first derivative of 1/5*l**5 + 1/12*l**4 + 1/18*l**6 - 1/3*l**2 - 1/3*l**3 + 0*l + 7. Let k(w) = 0. What is w?
-2, -1, 0, 1
Let f = 246/259 - 14/37. Let n = 184 + -179. Factor -4/7*h**3 - f*h**4 + 0*h + 0 + 4/7*h**2 + 4/7*h**n.
4*h**2*(h - 1)**2*(h + 1)/7
Let z(b) be the second derivative of -b**7/6930 + 7*b**6/3960 - b**5/220 - 49*b**4/12 + 33*b. Let s(t) be the third derivative of z(t). Let s(h) = 0. What is h?
1/2, 3
Let h(i) be the first derivative of 1/5*i - 15 + 4/15*i**3 + 1/2*i**2. Determine x, given that h(x) = 0.
-1, -1/4
Let o(x) be the first derivative of -4*x**5/5 + 3*x**4 - 8*x**2 + 108. Factor o(u).
-4*u*(u - 2)**2*(u + 1)
Solve -12/7*s**3 + 4/7*s**5 + 0 - 16/7*s + 8/7*s**4 - 32/7*s**2 = 0.
-2, -1, 0, 2
Let u(r) be the second derivative of -r**5/70 - 11*r**4/42 - 8*r**3/7 + 36*r**2/7 - 85*r - 2. Solve u(t) = 0.
-6, 1
Let m be (73/(-365))/((-12)/10). Let p(z) be the second derivative of 1/90*z**6 - 1/15*z**5 - 2/9*z**3 + 1/6*z**4 + 0 + m*z**2 - 12*z. Solve p(i) = 0 for i.
1
Let c(m) be the second derivative of 0 + 0*m**2 - 4/33*m**3 - 3/22*m**4 + 1/44*m**5 + 11*m. Factor c(l).
l*(l - 4)*(5*l + 2)/11
Let m(k) be the first derivative of -k**4/34 + 4*k**3/51 + k**2/17 - 4*k/17 - 205. Suppose m(l) = 0. What is l?
-1, 1, 2
Let x(f) be the first derivative of 4 + 7*f + 2*f**3 + 9/2*f**2 + 1/4*f**4. Let w(j) be the first derivative of x(j). Let w(v) = 0. What is v?
-3, -1
Let f be (8/12)/(5/30). Let l(o) be the second derivative of 0 + 0*o**5 + 0*o**3 + 1/3*o**f + 0*o**2 - 2/15*o**6 + 2*o. Factor l(h).
-4*h**2*(h - 1)*(h + 1)
Let s(k) be the first derivative of 3*k**4/4 - 9*k**3 