cond derivative of 4*f + 1/18*f**4 + 1/6*f**2 + 1/6*f**3 - 1/30*f**5 - 1/30*f**6 + i - 1/126*f**7. What is b in w(b) = 0?
-1, 1
Let c(n) be the third derivative of -n**5/210 - n**4/42 + n**3/7 - 8*n**2 + 1. Solve c(s) = 0.
-3, 1
Let y be 25/9 - (-4)/18. Factor -16*m - 8 + 0*m**2 + 5*m**y + 6*m**2 + 0*m**3 + 13*m**3.
2*(m - 1)*(3*m + 2)**2
Let r(c) be the third derivative of c**7/1050 + c**6/150 + c**5/100 - c**4/30 - 2*c**3/15 + c**2. Factor r(t).
(t - 1)*(t + 1)*(t + 2)**2/5
Let h(x) be the third derivative of -x**6/1080 + x**5/270 + 14*x**2. Determine b so that h(b) = 0.
0, 2
Let v = 5/3 - 4/3. Let s(h) be the first derivative of -1/12*h**4 + 1/15*h**5 + 2/3*h - v*h**3 - 2 + 1/6*h**2. Find x, given that s(x) = 0.
-1, 1, 2
Let d(q) be the third derivative of 0 + 1/90*q**5 + 0*q + 0*q**4 + 0*q**3 - 1/315*q**7 + 1/504*q**8 + 4*q**2 - 1/180*q**6. Determine v, given that d(v) = 0.
-1, 0, 1
Factor -91*k**2 + 3 + 89*k**2 - 1.
-2*(k - 1)*(k + 1)
Suppose 2*j = 3*j - 7*j. Suppose -6/5*n**2 + j + 3/5*n**3 + 0*n = 0. Calculate n.
0, 2
Let g(u) be the third derivative of -u**8/33600 - u**7/6300 - u**6/3600 - u**4/6 - 4*u**2. Let v(n) be the second derivative of g(n). Factor v(w).
-w*(w + 1)**2/5
Let z be -11 + 13 + (0 - -1). Suppose 0 = 2*l + 2*l - 3*y - 5, l - z*y = -1. Factor 0 + 0*v + 2/7*v**4 + 2/7*v**l - 4/7*v**3.
2*v**2*(v - 1)**2/7
Determine i, given that -i**2 + 0 - 7/5*i**5 + i**4 + 9/5*i**3 - 2/5*i = 0.
-1, -2/7, 0, 1
Let f(d) = 49*d**3 - 12*d**2 - 49*d + 12. Let j(n) = -25*n**3 + 6*n**2 + 25*n - 6. Let h(m) = -4*f(m) - 7*j(m). Find v, given that h(v) = 0.
-1, 2/7, 1
Let b be 6/24*(5 - -3). Factor 4/7 - 6/7*l**b + 2/7*l.
-2*(l - 1)*(3*l + 2)/7
Find r such that 16/3 + 196/3*r**2 - 112/3*r = 0.
2/7
Let v(y) = -y**3 - 6*y**2 - 2*y - 9. Suppose 0 = 2*z + 2*b + 8 + 4, 2*b = 0. Let n be v(z). Factor 0 - 18/7*p**2 - 4/7*p - 24/7*p**n - 10/7*p**4.
-2*p*(p + 1)**2*(5*p + 2)/7
Suppose 4*j = -8, -4*j - 14 = -5*y - 2*j. Let 5/3*h - 2/3 + h**y = 0. Calculate h.
-2, 1/3
Suppose 5*h - 3 = -3*b, 11 = h + 3*b - 5*b. Let a(s) be the first derivative of 2/35*s**5 + 0*s + 0*s**4 + 3 - 2/21*s**h + 0*s**2. Factor a(t).
2*t**2*(t - 1)*(t + 1)/7
Let u(d) be the second derivative of 8*d**6/15 + d**5/5 - 4*d**4/3 - 2*d**3/3 - 8*d. Factor u(s).
4*s*(s - 1)*(s + 1)*(4*s + 1)
Let q(n) = -5*n**5 + 32*n**4 - 74*n**3 + 89*n**2 - 47*n + 11. Let z(j) = -j**3 - j**2 + j - 1. Let l(u) = 4*q(u) + 12*z(u). Find r such that l(r) = 0.
2/5, 1, 2
Suppose -2*m = -3*h + 10, -14 = h - 6*m + m. Let x be (12/56)/(h/7). Factor 0 + c**5 + 9/4*c**4 + 0*c + 3/2*c**3 + x*c**2.
c**2*(c + 1)**2*(4*c + 1)/4
Let o(u) be the first derivative of -u**3/6 + 3*u**2/4 + 2*u - 7. Determine d so that o(d) = 0.
-1, 4
Let j be (9/162)/((-9)/(-54)). Factor -4/3*q + j*q**2 + 4/3.
(q - 2)**2/3
Suppose 0 = -5*n - 0*n. Let p(l) be the third derivative of n - 1/60*l**4 + 3*l**2 + 0*l - 1/15*l**3 + 1/300*l**6 + 1/150*l**5. Find x such that p(x) = 0.
-1, 1
Let r(k) = -2*k**2 - 12*k + 14. Let x(v) = v**2 + 4*v - 5. Let m be 48/36*(-6)/(-1). Let o(t) = m*x(t) + 3*r(t). Suppose o(b) = 0. Calculate b.
1
Suppose 0*c - 28 = -2*c. Suppose c = 5*f - 6. Factor 4*s**3 - s**2 - 2*s**4 - s - 3*s**3 + 3*s**f.
s*(s - 1)*(s + 1)**2
Suppose 4*d - q + 2 = -0*d, 3*q = 5*d + 6. Let m(y) be the first derivative of 0*y**4 + 3/5*y**5 + 0*y + 1 + d*y**2 + 0*y**3 + 1/2*y**6. Factor m(f).
3*f**4*(f + 1)
Suppose 24 = -4*s - h, 4*s - 5*h + 16 + 32 = 0. Let b be -3 - s - 3 - 1. Factor 2/7*u**2 + 0*u + b + 4/7*u**3 + 2/7*u**4.
2*u**2*(u + 1)**2/7
Let o(b) be the first derivative of 3*b**4/8 - 15*b**3/2 + 189*b**2/4 - 147*b/2 - 66. Find q, given that o(q) = 0.
1, 7
Let l(z) be the third derivative of 0*z**4 + 1/75*z**5 + 1/280*z**8 + 0*z**3 + 0*z - z**2 + 0 - 1/100*z**6 - 2/525*z**7. Suppose l(k) = 0. What is k?
-1, 0, 2/3, 1
Factor 3/5*i**3 + 3/5*i**2 - 3/5 - 3/5*i.
3*(i - 1)*(i + 1)**2/5
Let m = 269 + -266. Factor 1/3*s**m + 1/3*s**4 - 1/3*s**2 - 1/3*s + 0.
s*(s - 1)*(s + 1)**2/3
Let n(h) be the first derivative of -h**4/3 + 8*h**3/9 - 2*h**2/3 + 3. Solve n(j) = 0.
0, 1
Let p(a) be the first derivative of a - 1 - 1/2*a**3 - a**2 - 1/12*a**4. Let i(f) be the first derivative of p(f). Find w, given that i(w) = 0.
-2, -1
Suppose -25 + 0 = -5*r. Suppose 8 = -j + 5*j. Solve 8/5*n**4 + 0 - 12/5*n**3 - 2/5*n**r - 2/5*n + 8/5*n**j = 0.
0, 1
Let x = -9 + 9. Let a(h) be the third derivative of 1/240*h**6 - h**2 + 0*h**3 + 1/60*h**5 + 1/48*h**4 + 0*h + x. Factor a(n).
n*(n + 1)**2/2
Let z(r) be the third derivative of r**8/504 - r**7/315 - r**6/60 + r**5/18 - r**4/18 + 7*r**2. Factor z(b).
2*b*(b - 1)**3*(b + 2)/3
Let y(j) = -2*j**2 - 2*j - 4. Let i(c) = -8*c + 3*c**2 + 5 - 4*c + 14*c. Let t(r) = -4*i(r) - 5*y(r). Factor t(b).
-2*b*(b - 1)
Determine l, given that 2*l**4 - 1/2*l - 3*l**3 - 1/2*l**5 + 0 + 2*l**2 = 0.
0, 1
Suppose 0*y - 3*p = -5*y + 4, 2*p = -y + 6. Suppose -2*f**2 - 6*f**3 - f**4 + 5*f**4 - f + f**y + 5*f**2 - f**5 = 0. What is f?
0, 1
Factor -4*g - 2/7*g**2 - 14.
-2*(g + 7)**2/7
Let v = 55 - 52. Factor 0*t**2 + 0*t**4 + 0 + 1/4*t - 1/2*t**v + 1/4*t**5.
t*(t - 1)**2*(t + 1)**2/4
Let z(m) be the third derivative of 0*m**3 + m**2 + 1/48*m**4 + 1/120*m**5 + 0 + 0*m. Factor z(v).
v*(v + 1)/2
Let s(q) = -q**3 + 19*q**2 - 51*q + 50. Let w be s(16). Let -3/4*j - 3/4*j**w + 0 = 0. Calculate j.
-1, 0
Let l = 105 - 101. Factor -1/6*t**5 - 5/6*t - 1/6 - 5/3*t**3 - 5/6*t**l - 5/3*t**2.
-(t + 1)**5/6
Suppose 0 = 21*f - 13 - 29. Let y = 109/70 - 2/35. Factor 9/4*j + 3/4 + y*j**f.
3*(j + 1)*(2*j + 1)/4
Let m(i) be the first derivative of i**5/10 + i**4/3 + i**3/3 - i - 2. Let s(r) be the first derivative of m(r). Suppose s(c) = 0. What is c?
-1, 0
Find c such that 3*c**4 + c + 7*c + 34*c**3 - 32*c**2 - 13*c**4 = 0.
0, 2/5, 1, 2
Let f be (8/(-1))/(-32) - (-3)/(-12). Factor 4/9*u**2 + f - 2/9*u**3 + 0*u.
-2*u**2*(u - 2)/9
Let a = -98 + 98. Factor 2/3*f + 0*f**2 + 2/3*f**5 + a*f**4 + 0 - 4/3*f**3.
2*f*(f - 1)**2*(f + 1)**2/3
Let o(r) be the first derivative of 9 + 9*r**4 + 3/2*r**2 - 6*r**3 - 6*r**5 + 0*r + 3/2*r**6. Let o(j) = 0. What is j?
0, 1/3, 1
Factor -2/3*v**2 + 2*v - 4/3.
-2*(v - 2)*(v - 1)/3
Let o be ((-1)/(-1))/1*2. Find q, given that q**4 + 2*q**3 + 4*q + 1 - o - 6*q = 0.
-1, 1
Suppose 1/5*f**2 - 8/5*f + 0 = 0. What is f?
0, 8
Let x = -8 + 12. Suppose -x*z + b = -3*z + 3, 31 = 3*z + 5*b. Factor 1/3 - 16/3*d**3 + 8*d**z - 3*d.
-(d - 1)*(4*d - 1)**2/3
Suppose -4*q + 0*j = j - 127, q + 2*j - 23 = 0. Let r = q + -229/7. Solve 0*w - 2/7*w**3 - r*w**2 + 0 = 0 for w.
-1, 0
Let f be 11 + -12 - (-122)/120. Let i(t) be the third derivative of -2*t**2 - f*t**5 + 0*t - 1/240*t**6 + 0*t**3 + 0 - 1/48*t**4. Factor i(m).
-m*(m + 1)**2/2
Let v(t) = 6*t**2 - 12*t + 12. Let u(y) = -y**2. Let h(m) = -3*u(m) - v(m). Solve h(p) = 0.
2
Let u = 2 - 0. Solve -15*w - 7*w + 2*w**4 - 2*w**3 - u*w**2 + 24*w = 0.
-1, 0, 1
Let m(x) be the first derivative of -4*x - 1 - 2*x**2 + 4/3*x**3 + x**4. Factor m(f).
4*(f - 1)*(f + 1)**2
Let i(c) be the first derivative of -2*c + 1. Let u(h) = -1 - 5 + 1 - h**2 + h. Let n(y) = 5*i(y) - 2*u(y). Factor n(p).
2*p*(p - 1)
Suppose -5*h + 2*h = -6. Let v be (-1)/h - (-11)/2. Factor -2*s**3 - 5*s**4 + 2*s**4 + v*s**4.
2*s**3*(s - 1)
Let s = 4 - 4. Let h(y) be the first derivative of 2*y**2 + 1 + s*y + 2*y**3 - 5/2*y**4. Factor h(w).
-2*w*(w - 1)*(5*w + 2)
Suppose -4*w = 2*m - 7 - 13, 3 = -3*m + 5*w. Suppose 2*n - m = n. Suppose 3*l**3 + 2*l - 2*l - 4 + 3*l**2 - n*l**3 = 0. Calculate l.
-1, 2
Factor 7/2*j + 49/4 + 1/4*j**2.
(j + 7)**2/4
Let r be (-8)/(-10)*2925/(-442). Let d = r + 698/119. Factor -d*k - 2/7*k**2 - 2/7.
-2*(k + 1)**2/7
Let a(o) be the first derivative of -7*o**4/16 - o**3 + o**2/2 + 7. Factor a(f).
-f*(f + 2)*(7*f - 2)/4
Let q(n) be the first derivative of -2*n**4/5 + 6*n**3/5 - 6*n**2/5 + 2*n/5 - 3. Factor q(g).
-2*(g - 1)**2*(4*g - 1)/5
Suppose 2*b - 3*x = 5*b, -3*b - x - 8 = 0. Let f = b - -6. Factor n**f - n**4 + n**3 + 3*n + 2*n + 0*n**4 - 6*n.
-n*(n - 1)**2*(n + 1)
Let b(u) = u**3 - u**2 - u - 1. Let d be b(-1). Let h = d - -4. Factor 2/7*q**h - 2/7*q + 0.
2*q*(q - 1)/7
Let j(r) be the first derivative of -r**8/1680 + r**6/360 - r**3 - 5. Let x(o) be the third derivative of j(o). Factor x(n).
-n**2*(n - 1)*(n + 1)
Su