 derivative of b*k**2 + 2/15*k**3 + 0 - 6*k + 1/60*k**4. Factor m(h).
(h + 2)**2/5
Let c(t) = -t**3 + 8*t**2 + 8*t - 113. Let v be c(5). Suppose -8/7 + 4/7*a**v - 4/7*a = 0. What is a?
-1, 2
Let q(o) be the first derivative of -o**6/36 - o**5/5 - o**4/2 - 5*o**3/9 - o**2/4 + 81. Factor q(d).
-d*(d + 1)**3*(d + 3)/6
Let i(m) be the second derivative of m**7/3780 + 7*m**4/6 - 17*m. Let u(j) be the third derivative of i(j). Factor u(r).
2*r**2/3
Let k(q) be the second derivative of -3*q**5/20 + 17*q**4/4 + 29*q**3 + 60*q**2 + 231*q - 1. Factor k(j).
-3*(j - 20)*(j + 1)*(j + 2)
Let c(q) = -3*q**3 - 5*q**2 + 5*q + 3. Let v(m) = m**3 + 3*m**2. Let z(s) = 3*c(s) + 6*v(s). Factor z(o).
-3*(o - 3)*(o + 1)**2
Let q(g) = -3*g - 17. Let f be q(-8). Suppose p + p**2 - p**2 + f*p**3 + p + 9*p**2 = 0. Calculate p.
-1, -2/7, 0
Let a(i) = -10*i**4 - 5*i**3 - 7*i**2 - 3*i. Let r(f) = -8*f**4 - 6*f**3 - 6*f**2 - 2*f. Let d(q) = -2*a(q) + 3*r(q). Factor d(u).
-4*u**2*(u + 1)**2
Let b be 504/315*(-3 + -1 - -5). Find i, given that -6/5*i**2 + b + 2/5*i**3 + 0*i = 0.
-1, 2
Let v(u) be the third derivative of 0 - 14*u**2 + 0*u - 16/15*u**5 - 5/6*u**4 + 4/3*u**3 - 3/10*u**6. Find y such that v(y) = 0.
-1, 2/9
Let u = -18182 + 18185. Find b such that 1/2*b**u - 864 - 18*b**2 + 216*b = 0.
12
Factor 1/5*i**3 - 2/5 + 0*i**2 - 3/5*i.
(i - 2)*(i + 1)**2/5
Let u(t) = -9*t**4 - 8*t**3 + 17*t**2 + 13*t. Let j(i) = -6*i**3 + 6*i + 147*i**2 + 2*i**3 - 4*i**4 - 139*i**2. Let o(r) = -13*j(r) + 6*u(r). Factor o(a).
-2*a**2*(a - 1)**2
Let c(u) be the first derivative of -u**4/12 + u**3/3 + 3*u**2/2 - 12*u + 14. Let r(m) be the first derivative of c(m). Let r(p) = 0. What is p?
-1, 3
Let l(j) be the second derivative of -j**7/168 - j**6/12 - 37*j**5/80 - 5*j**4/4 - 3*j**3/2 - 109*j - 3. Factor l(w).
-w*(w + 2)**2*(w + 3)**2/4
Let l be (-4)/3*(-21)/14. Suppose l = 3*i + 2. Factor i*r**2 + 0 - 1/4*r + 1/4*r**3.
r*(r - 1)*(r + 1)/4
Factor 1/4*t**3 + 7/4*t**2 + 3*t + 0.
t*(t + 3)*(t + 4)/4
Suppose -14*q - 33 = -103. Let d(f) be the third derivative of -1/210*f**q + 0 - 2/21*f**3 - f**2 - 1/28*f**4 + 0*f. Factor d(i).
-2*(i + 1)*(i + 2)/7
Let a(i) = -4*i**4 - 2*i**3 + 9*i**2 + 3. Let x(j) = -5*j**4 - 3*j**3 + 10*j**2 + 4. Let d(t) = -4*a(t) + 3*x(t). Suppose d(n) = 0. Calculate n.
-2, 0, 3
Let g(k) be the third derivative of k**6/180 - 7*k**5/90 + 5*k**4/18 + 10*k**2 + 2*k. Find j, given that g(j) = 0.
0, 2, 5
Let i = 801 + -798. Determine q, given that 32/5*q**i - 16/5*q**2 + 2/5*q + 0 = 0.
0, 1/4
Let k = 6/6469 + 32333/12938. Find o, given that 1 - 3/2*o - k*o**2 = 0.
-1, 2/5
Let q be 2 + -6*(-7)/3. Find k, given that 12*k**3 - q*k - 29*k**2 - 15*k**2 + 0*k = 0.
-1/3, 0, 4
Let q(r) be the second derivative of -r**7/7 - 14*r**6/15 - 11*r**5/5 - 2*r**4 + r**3/3 + 2*r**2 + 43*r. Suppose q(n) = 0. What is n?
-2, -1, 1/3
Let c(y) be the first derivative of 2*y**3/21 + 12*y**2/7 - 26*y/7 - 76. Find u such that c(u) = 0.
-13, 1
Suppose -213*f + 718 = 146*f. Solve 0*x + 2/5*x**3 + 2/5*x**f + 0 = 0.
-1, 0
Let r(y) = -2*y**3 + 20*y**2 + 4*y - 36. Let c be r(10). Suppose 6*q**3 + 4/3*q**c + 6*q + 28/3*q**2 + 4/3 = 0. What is q?
-2, -1, -1/2
Let s(o) be the third derivative of 0*o**4 - 1/42*o**7 + 0*o**3 + 0 - 1/12*o**5 + 0*o + 1/12*o**6 - 3*o**2. Factor s(u).
-5*u**2*(u - 1)**2
Let v(c) be the second derivative of 0*c**3 - 1/10*c**5 - 1/3*c**4 + 0*c**2 + 0 - 13*c. Factor v(w).
-2*w**2*(w + 2)
Factor 6*u + 6*u**2 - 7 - 8*u**2 + 2*u**2 + u**2.
(u - 1)*(u + 7)
Let q(l) be the first derivative of -l**3 + 351*l**2/2 + 354*l - 552. Determine s, given that q(s) = 0.
-1, 118
Let g(r) be the second derivative of 1/30*r**4 + 2*r + 0 + 1/5*r**3 + 0*r**2. Determine f, given that g(f) = 0.
-3, 0
Suppose 10*p = -4 + 24. Suppose 2*c**3 + 0*c**3 + 0*c + p*c - 4*c**2 = 0. Calculate c.
0, 1
Let m(j) be the first derivative of -4782969*j**4/4 + 39366*j**3 - 486*j**2 + 8*j/3 + 308. Factor m(l).
-(243*l - 2)**3/3
Let f(q) = -6*q**2 + 60*q - 145. Let w(l) = 9*l**2 - 90*l + 217. Let b be (-4)/36 + 142/(-18). Let c(n) = b*f(n) - 5*w(n). Suppose c(p) = 0. What is p?
5
Let t(f) be the third derivative of -f**9/20160 - f**8/4480 - f**7/3360 - 17*f**4/24 + 9*f**2. Let r(k) be the second derivative of t(k). Factor r(o).
-3*o**2*(o + 1)**2/4
Suppose -3*t - 4*z = -8*z + 11, -5*t + 4*z - 5 = 0. Let g = 12338/9 + -1370. Factor -2/9*f**t + 0 - 2/3*f - g*f**2.
-2*f*(f + 1)*(f + 3)/9
Let y(j) be the third derivative of -19*j**5/12 - 45*j**4/8 - 20*j**3/3 - 8*j**2 - 15. Solve y(t) = 0 for t.
-1, -8/19
Let h = -10 - -52. What is a in 20*a**3 + 7*a**2 + 18*a**2 + h*a**4 - 47*a**4 = 0?
-1, 0, 5
Let o be -11 + 6 + 3 + 5 + -1. Determine f so that -6*f**3 + 8/3 + 16/3*f - o*f**2 = 0.
-2/3, 1
Let d(t) be the third derivative of -8*t**2 + 0 + 1/30*t**5 + 0*t**3 - 1/6*t**4 + 0*t. Suppose d(b) = 0. What is b?
0, 2
Suppose -180 = -8*b + 6*b. Suppose 0 = x - b - 327. Factor -2*m**2 + 417 - x + 4*m.
-2*m*(m - 2)
Let k(a) be the third derivative of 0 + 0*a**3 + 1/6*a**5 - 2/21*a**7 + 5/24*a**6 + 0*a**4 + 0*a - 5/112*a**8 - 8*a**2. Suppose k(z) = 0. Calculate z.
-2, -1/3, 0, 1
Let m(v) be the first derivative of -5*v**4/4 - 25*v**3/3 - 10*v**2 + 113. Factor m(l).
-5*l*(l + 1)*(l + 4)
Let m(a) be the second derivative of 0 - 1/6*a**4 + 1/42*a**7 + 1/15*a**6 + 0*a**2 - 1/6*a**3 + 0*a**5 + 8*a. Factor m(d).
d*(d - 1)*(d + 1)**3
Suppose -3*h + 10*h + 2387 = 0. Let o be 62/h - 32/(-55). Factor 0 - 2/5*v + o*v**2.
2*v*(v - 1)/5
Let c(d) be the second derivative of 3*d**5/20 + d**4 - 7*d**3/2 - 15*d**2 - 97*d. What is i in c(i) = 0?
-5, -1, 2
Determine a, given that 48/5*a - 18/5*a**4 + 32/5 - 2/5*a**5 - 46/5*a**3 - 14/5*a**2 = 0.
-4, -1, 1
Let h(x) = x**2 + 2*x - 6. Let c be h(-4). Suppose -2*l + 4*l = -3*m + 7, -2 = -c*m. Factor -6/7*s**3 + 0 + 0*s - 4/7*s**l.
-2*s**2*(3*s + 2)/7
Let c be ((-145)/(-15) + 3)/(2/3). Factor -6 - 3*x**3 - 2*x**2 + 7*x**3 + 23*x**2 + c*x - 8*x**3.
-(x - 6)*(x + 1)*(4*x - 1)
Let f = -13 - -16. Factor -32*v**2 - 6 + 9*v**3 - 34*v + 18 + 4*v**3 + v**f.
2*(v - 3)*(v + 1)*(7*v - 2)
Let b(j) be the second derivative of j**4/20 - 4*j**3 + 120*j**2 + 19*j. Suppose b(s) = 0. Calculate s.
20
Suppose -6 = -9*k + 30. Suppose 5*y + 4*u - 3 - 5 = 0, -8 = -k*u. Determine o so that y*o + 0 + 2/15*o**2 = 0.
0
Suppose c = 4*o, -o = 2*c - 4*o - 5. Find a, given that 24*a**2 + 51*a**3 + c*a**2 + 20*a**4 + 4*a**5 + 8*a - 15*a**3 = 0.
-2, -1, 0
Let p = -34 + 36. Suppose -1 = p*a - 5. What is o in a*o - 10*o**2 + 7*o**2 + o = 0?
0, 1
Suppose 130*j - 24 - 366 = 0. Factor -1/5*r**j + 2/5*r - 1/5*r**2 + 0.
-r*(r - 1)*(r + 2)/5
Suppose 2*n = 4*g + 4 - 20, 0 = -5*g - 4*n + 7. Let j(b) be the second derivative of 0*b**2 + 3*b + 1/6*b**4 + 0*b**g + 0. Factor j(z).
2*z**2
Determine p so that 3/4*p**5 + 3/4*p**4 + 0 - 3/4*p**2 - 3/4*p**3 + 0*p = 0.
-1, 0, 1
Let x(f) be the third derivative of -f**5/150 - 13*f**4/60 - 2*f**3 - 27*f**2 - 2. Factor x(r).
-2*(r + 3)*(r + 10)/5
Let j be 6/112*10 - 16/64. Determine n, given that 0*n**2 - 4/7*n**3 + 0 + 2/7*n**5 + 0*n**4 + j*n = 0.
-1, 0, 1
Let q(l) = l**2 - 12*l + 11. Suppose 2*r - 33 = -5. Let d(u) = -2*u**2 + 36*u - 34. Let h(a) = r*q(a) + 5*d(a). Find s, given that h(s) = 0.
-4, 1
Find d, given that -15/8*d**2 + 0 + 3/4*d - 3/8*d**5 + 3/8*d**4 + 9/8*d**3 = 0.
-2, 0, 1
Let a(f) be the third derivative of f**8/1512 - 2*f**7/189 + 13*f**6/540 + 2*f**5/9 + f**4/3 + 271*f**2. Find s such that a(s) = 0.
-1, 0, 6
Let r = -2/6327 - -6331/12654. Solve f**3 - r*f - 1/2*f**5 + f**2 - 1/2 - 1/2*f**4 = 0.
-1, 1
Let z be (-34)/(-18) - 270/(-243). Let k(i) be the third derivative of 1/2*i**4 + 0*i - i**2 + 1/15*i**5 + 4/3*i**z + 0. Determine y so that k(y) = 0.
-2, -1
Let w = 212003/56532 + -2/14133. Factor -w*h**3 + 0 + 0*h - 3/2*h**2.
-3*h**2*(5*h + 2)/4
Let y(l) be the first derivative of 3*l**5/5 + l**4/6 + 4*l**2 + 12. Let x(u) be the second derivative of y(u). What is k in x(k) = 0?
-1/9, 0
Let d be (-6)/5*(-10)/3. Let k be (-2)/d - 25/(-10). Factor 12*i**3 + 12*i + 7*i**2 - i**2 + 1 + 2 + 12*i**k + 3*i**4.
3*(i + 1)**4
Let x = 9 - 5. Let p be (3/2)/(90/120). Determine q so that 2*q - 6*q**3 + q + 4*q**p + x*q - 5*q = 0.
-1/3, 0, 1
Let r(s) be the third derivative of -s**7/42 - s**6/8 - s**5/12 + 5*s**4/8 + 5*s**