 second derivative of z**6/60 + z**5/30 + z**2/2 + z. Let h(m) be the first derivative of q(m). Factor h(x).
2*x**2*(x + 1)
Let j = 7/59 - 445/4248. Let p(t) be the third derivative of 0*t**3 + 0*t - 1/180*t**5 + t**2 + 0 - j*t**4. Find s, given that p(s) = 0.
-1, 0
Let i(r) be the first derivative of 2*r**3/45 - 2*r**2/15 + 2*r/15 + 6. Suppose i(t) = 0. What is t?
1
Let y = 11 - 9. Let d(h) be the third derivative of 1/210*h**5 + 1/420*h**6 - 1/84*h**4 + 0*h + 0*h**3 + h**y + 0 - 1/735*h**7. Factor d(z).
-2*z*(z - 1)**2*(z + 1)/7
Let y be (0 - 0/2)/((-5)/5). Factor -3/2*j**4 - 9/2*j**3 - 3*j**2 + 0 + y*j.
-3*j**2*(j + 1)*(j + 2)/2
Let x(y) be the second derivative of -y**4/18 + y**3/3 + 4*y. Factor x(g).
-2*g*(g - 3)/3
Factor -15260*i + 15260*i + i**4 - i**3.
i**3*(i - 1)
Let y = 12124 - 242357/20. Let a = y + -15/4. Determine p, given that -2/5*p**2 - 18/5 + a*p = 0.
3
Let k(o) be the second derivative of -o**7/1120 - o**6/480 + o**5/80 + o**3/3 - 2*o. Let v(r) be the second derivative of k(r). Factor v(c).
-3*c*(c - 1)*(c + 2)/4
Let f(b) = 4*b**2 + 6*b. Let h(v) be the second derivative of -v**4/12 - v**3/3 - 4*v. Let a(u) = 3*f(u) + 10*h(u). Determine q, given that a(q) = 0.
0, 1
Let g = -7 + 13. Suppose c = 5*w + 5*c - 15, -4*c + g = 2*w. Suppose -2/3*m**w - 2/3*m**4 + 0*m**2 + 0 + 0*m = 0. Calculate m.
-1, 0
Let a(w) be the third derivative of 1/45*w**5 + 0*w**3 + 0*w - 1/36*w**6 + 0*w**4 + 0 + 4/315*w**7 + 6*w**2 - 1/504*w**8. Let a(i) = 0. Calculate i.
0, 1, 2
Let k(g) be the third derivative of 1/16*g**8 - 2/3*g**3 + 0 + 0*g - 37/120*g**6 + 1/20*g**5 - 3*g**2 + 1/210*g**7 + 2/3*g**4. Let k(w) = 0. What is w?
-1, 2/7, 2/3, 1
Let g be (-7)/(-2)*4/7. Factor -2 + 4 - 4*d - 4 - 2*d**g.
-2*(d + 1)**2
Let i = -2 - -4. Suppose -5*k + 1 + 19 = 0. Find a, given that a**k + 0*a - a**i + a + 0*a**3 - a**3 = 0.
-1, 0, 1
Let o(n) be the third derivative of -n**9/241920 - n**8/26880 - n**7/6720 - n**6/2880 - n**5/15 - n**2. Let d(h) be the third derivative of o(h). Factor d(r).
-(r + 1)**3/4
Suppose -9*t**2 + 15 - 6 + 0 - 3*t**3 + 3 = 0. What is t?
-2, 1
Let g(n) be the first derivative of -n**4/10 + 4*n**3/15 + n**2/5 - 4*n/5 - 2. Determine i so that g(i) = 0.
-1, 1, 2
Let t = -5 - -6. Let p(s) = 5*s**3 - 2*s**2 + s. Let h be p(t). Determine o so that -6*o**5 - 4*o**h + o**5 - o**5 = 0.
-2/3, 0
Let o be -4 + (-9 + 1)*-1. Factor 3/2*q**o + 0*q - 1/2*q**5 + 0 + 1/2*q**2 - 3/2*q**3.
-q**2*(q - 1)**3/2
Let b = -438/5 + 88. Factor 2/5*g**5 + 2/5*g**4 + 0 - b*g**3 + 0*g - 2/5*g**2.
2*g**2*(g - 1)*(g + 1)**2/5
Let x(k) be the first derivative of -k**3 - 9*k**2/2 + 12*k + 8. Factor x(b).
-3*(b - 1)*(b + 4)
Factor 6/5*u**2 - 3/5*u**3 + 0 - 3/5*u.
-3*u*(u - 1)**2/5
Let t(i) be the third derivative of -i**8/84 + 4*i**7/105 - i**6/30 + 6*i**2. Factor t(z).
-4*z**3*(z - 1)**2
Let w(f) = 14*f**3 - 16*f**2 + 6*f. Let i(x) = 2 - 6*x - 1 - 29*x**3 + 32*x**2 - 3*x - 4*x. Let c(y) = -4*i(y) - 9*w(y). Factor c(r).
-2*(r - 1)**2*(5*r + 2)
Let n be (0 - -7) + 1 + -4. Factor -k**3 + 5*k**2 + 2*k**5 + 7*k**3 + 6*k**n - 3*k**2.
2*k**2*(k + 1)**3
Let z = -44719/7662 - -4/1277. Let s = 199/30 + z. Factor -s + 2/5*u + 2/5*u**2.
2*(u - 1)*(u + 2)/5
Let i be 3/(-6)*(0 + -12). Let m(v) be the third derivative of 1/270*v**5 + 1/540*v**i + 0 - 1/108*v**4 + 0*v - 1/27*v**3 + v**2. Factor m(t).
2*(t - 1)*(t + 1)**2/9
Let m = 9 + -6. Suppose -4*g + 3*h + 19 = 0, -m*g = 2*g - 5*h - 25. Solve g*o - 9*o**2 + 2*o**2 - 2*o = 0.
0, 2/7
Let j(h) = 2*h**4 - 5*h**3 - h**2 - 4*h - 5. Let y(v) = 2*v**4 - 4*v**3 - 2*v**2 - 4*v - 4. Let x(l) = 4*j(l) - 5*y(l). Factor x(w).
-2*w*(w - 2)*(w + 1)**2
Let c = 16 + -14. Suppose 0*r**3 + 1/3*r**5 - 4/3*r**c + r**4 + 0 + 0*r = 0. Calculate r.
-2, 0, 1
Let y(m) = 3*m**3 + 5*m**2 - 3*m - 5. Let t(w) = -20*w**3 - 32*w**2 + 20*w + 32. Let h(g) = 5*t(g) + 32*y(g). Factor h(z).
-4*z*(z - 1)*(z + 1)
Suppose -4*k = -2*l + k - 20, -3*k = -l - 9. Let c(u) = -u - 15. Let x be c(l). Factor -j**3 + 1/3*j**5 + 0 + 0*j + 2/3*j**2 + x*j**4.
j**2*(j - 1)**2*(j + 2)/3
Suppose 2*t + 4*w + 6 = 30, -15 = -3*w. Factor -2*q + 67*q**2 - 65*q**t + q**3 + 3*q.
q*(q + 1)**2
Let y = 2041/40 - 51. Let g(c) be the second derivative of -c + 0 - y*c**5 + 1/12*c**3 + 0*c**2 + 0*c**4. Factor g(w).
-w*(w - 1)*(w + 1)/2
Let s(l) be the second derivative of -l**7/189 - 2*l**6/135 + l**4/27 + l**3/27 + 11*l. Factor s(r).
-2*r*(r - 1)*(r + 1)**3/9
Let o(t) be the second derivative of t**5/130 - t**4/39 - t**3/39 + 2*t**2/13 + 5*t. Solve o(s) = 0.
-1, 1, 2
Let i = 548 - 92063/168. Let n(b) be the second derivative of i*b**7 + 0*b**3 + 0*b**2 - 1/80*b**5 + 0*b**4 + b + 0 + 0*b**6. Factor n(k).
k**3*(k - 1)*(k + 1)/4
Let a(i) be the first derivative of -25/4*i**4 - 2*i**2 + 20/3*i**3 - 2 + 0*i. Solve a(t) = 0.
0, 2/5
Let n(h) be the third derivative of h**5/15 - 2*h**4/3 + 2*h**3 - 2*h**2 + 4. Find m such that n(m) = 0.
1, 3
Let i(k) be the first derivative of -k**5/30 + k**4/6 - k**2/2 - 3. Let v(j) be the second derivative of i(j). Factor v(r).
-2*r*(r - 2)
Let k(d) = d**2 + d + 1. Let h(u) = u**3 + 2*u**2 + u + 2. Suppose 2*q - q - 7 = v, -2*q + 3*v = -15. Let y(s) = q*k(s) - 3*h(s). Factor y(x).
-3*x*(x - 1)*(x + 1)
Let g(z) be the first derivative of -2*z**5/35 - 3*z**4/14 + 4*z**2/7 + 5. Find q, given that g(q) = 0.
-2, 0, 1
Let 6/5*d**4 + 16/5*d**2 + 14/5*d**3 + 9/5*d + 1/5*d**5 + 2/5 = 0. What is d?
-2, -1
Let x(k) = 6*k**2 - 2*k - 5. Let v(d) = 9*d**2 - 3*d - 8. Let r(a) = -5*v(a) + 8*x(a). Let w(h) = -2*h**2 + h. Let l(f) = 3*r(f) + 4*w(f). Solve l(o) = 0.
-1, 0
Let q(k) be the third derivative of k**6/180 - 4*k**5/135 + 7*k**4/108 - 2*k**3/27 + 2*k**2 - 18*k. Factor q(y).
2*(y - 1)**2*(3*y - 2)/9
Let g(y) = -y**5 - y**4 - y**3 + y. Let k(p) = -25*p**5 - 40*p**4 - 50*p**3 + 40*p**2 + 30*p. Let z(l) = -30*g(l) + k(l). Solve z(s) = 0.
-2, 0, 2
Let f(a) be the first derivative of a**6/6 - a**4/4 - 3. Factor f(k).
k**3*(k - 1)*(k + 1)
Let y(l) be the second derivative of -1/6*l**4 + 0*l**2 + 1/15*l**6 - l + 0 - 1/5*l**5 + 2/3*l**3. Factor y(t).
2*t*(t - 2)*(t - 1)*(t + 1)
Let k = -1274 - -11480/9. Let l(v) be the first derivative of 11/6*v**2 + 2 - 7/18*v**6 - 2/3*v - 1/3*v**4 + 16/15*v**5 - k*v**3. Let l(w) = 0. Calculate w.
-1, 2/7, 1
Find l such that 28/5*l - 4*l**2 - 12/5 + 4/5*l**3 = 0.
1, 3
Let z(a) be the first derivative of -a - 3 + a**2 - 1/3*a**3. Determine p so that z(p) = 0.
1
Suppose -108/7*x**3 - 50/7*x**4 - 8/7*x**5 - 104/7*x**2 - 6/7 - 44/7*x = 0. Calculate x.
-3, -1, -1/4
Let n be (9/(-27))/(6/(-4)). Factor -2/3*b**3 - 2/3*b**4 - 2/9*b**2 - n*b**5 + 0*b + 0.
-2*b**2*(b + 1)**3/9
Let c(f) be the first derivative of -f**4/38 + 4*f**3/57 - f**2/19 - 8. Let c(q) = 0. What is q?
0, 1
Determine f, given that 0*f - 2/3 + 2/3*f**2 = 0.
-1, 1
Suppose -4*o = -x - 5, -5*o = -4*x - 2 + 4. Let n = -13 - -18. Factor p**n - p**3 + 2 - o.
p**3*(p - 1)*(p + 1)
Suppose -2*f + j = -3*j - 26, -3*j = f - 13. Determine k, given that 5*k - 2 + k**2 - 15*k - f*k**2 = 0.
-1/2, -1/3
Let d(b) be the first derivative of -b**5/5 - b**4/4 + b**3 + b**2/2 - 2*b + 1. Let d(g) = 0. Calculate g.
-2, -1, 1
Suppose -4/9*x**4 + 5/9*x**3 + 7/9*x**2 - 2/9*x + 0 = 0. What is x?
-1, 0, 1/4, 2
Let f = -75 + 227/3. Let u = -1/3 + 2/3. Solve -f - u*j**2 - j = 0 for j.
-2, -1
Let i be -3 + ((-654)/(-15))/(-1). Let v = i + 47. Find w, given that 0*w - 4/5*w**2 + 2/5*w**4 + v + 0*w**3 = 0.
-1, 1
Let k(x) be the third derivative of x**5/210 + x**4/28 + 2*x**3/21 + 2*x**2. Find g, given that k(g) = 0.
-2, -1
Factor -24 - 2*p**2 + 30*p - 6*p**2 - 21 + 3*p**2.
-5*(p - 3)**2
Let k = 2/7 + 1/21. Let d be (1/2)/(6/8). Factor -d + 1/3*v + k*v**2.
(v - 1)*(v + 2)/3
Suppose -4*l + 5*l + 15 = 4*a, -a = 4*l + 9. Factor a*q**2 + 9/2 + 21/2*q.
3*(q + 3)*(2*q + 1)/2
Determine v, given that 3/7*v**2 + 0*v - 12/7 = 0.
-2, 2
Let q(w) = 3*w**2 - 3*w**2 - 6*w**2 - 7*w + 1. Let v(h) = -6*h**2 - 6*h. Suppose 3*g + 1 = k, -2*k + 0*g = -3*g - 5. Let o(u) = k*q(u) - 3*v(u). Factor o(p).
-2*(p + 2)*(3*p - 1)
Let p be ((-8)/5)/(8/(-80)). Factor -6*h**2 - 7 - h**2 + p + 6*h + 4*h**2.
-3*(h - 3)*(h + 1)
Let p(o) = o**2 + 5*o + 6. Let g be p(-4). Let -4/5*l**3 + 0 - 2/5*l**4 + 0*l - 2/5*l**g = 0. What is l?
-1, 0
Let p be (-15)/(-198) - (-2)/2