be the second derivative of s(h). Solve w(f) = 0 for f.
-1, 1
Let d(q) be the first derivative of q**8/280 + 3*q**7/280 + q**6/120 + 7*q**3/3 - 7. Let f(w) be the third derivative of d(w). Factor f(j).
3*j**2*(j + 1)*(2*j + 1)
Let h(u) = 5*u + 26. Let d(g) = 2*g + 9. Let x(p) = -8*d(p) + 3*h(p). Let v be x(3). Find s such that -4*s**2 - 2 - 2*s**3 + s**v - 3*s - 2*s = 0.
-2, -1
Suppose 2*n + q - 6 = -1, 5*n - 6 = 4*q. Factor 0 + 1/2*j + 1/2*j**5 - j**3 + 0*j**4 + 0*j**n.
j*(j - 1)**2*(j + 1)**2/2
Suppose 5*r = 12 + 8. Suppose -39*n - 20 = 3*k - 34*n, k + 4 = -n. Suppose 0 + 0*p**2 - 2/5*p**5 + k*p - 2/5*p**r + 4/5*p**3 = 0. What is p?
-2, 0, 1
Let g(r) be the second derivative of 1/36*r**4 + 0 + 2/9*r**3 + 2/3*r**2 + r. Factor g(a).
(a + 2)**2/3
Let z(l) be the third derivative of -l**7/525 - l**6/75 - 2*l**5/75 - 2*l**2. Factor z(v).
-2*v**2*(v + 2)**2/5
Let u be ((-10)/(-4))/((-18)/(-4)). Let l = -1/18 + u. Determine g so that 0*g**2 - 1/4*g**4 + 1/4 - l*g**3 + 1/2*g = 0.
-1, 1
Let b be 1/(1*(-1)/9). Let s(k) = -k**3 - 8*k**2 + 8*k - 9. Let v be s(b). Factor 2/7*c + 0 + v*c**2 - 2/7*c**3.
-2*c*(c - 1)*(c + 1)/7
Suppose 2*o + 1 = 5. Suppose -c + 32 = 4*c + 2*j, 2*c = -3*j + 15. Find m, given that -2 - 8*m**2 - 4*m + c*m**o + 2 = 0.
-2, 0
Let a be 2 + -3 + 2 + 1. Determine k, given that -a*k - 7*k**4 - 2*k**5 + 3*k + 3*k**4 + 4*k**2 + k = 0.
-1, 0, 1
Let l be 2/13 - ((-185)/65 - -1). Factor 0 + 4/3*r**4 + 1/3*r**l + 0*r - 5/3*r**3.
r**2*(r - 1)*(4*r - 1)/3
Suppose 1/7*z + 0*z**2 + 0 - 1/7*z**3 = 0. Calculate z.
-1, 0, 1
Let l(n) be the third derivative of n**6/180 + n**5/30 + n**4/12 + n**3/9 + 21*n**2. Factor l(j).
2*(j + 1)**3/3
Let g(c) be the first derivative of c**4/6 + c**3/3 + 10*c + 5. Let k(t) be the first derivative of g(t). Factor k(x).
2*x*(x + 1)
Let u be (-3)/(-9) - 2328/(-9). Let m = u + -2327/9. Factor -m*h**2 + 0*h + 0*h**3 + 2/9 + 2/9*h**4.
2*(h - 1)**2*(h + 1)**2/9
Let j(m) = m**2 + m + 1. Let o(v) = 3*v**2 + 3*v + 2. Let l(z) = 2*j(z) - o(z). Determine d so that l(d) = 0.
-1, 0
Let z = -397/14 - -202/7. Let z*q - 1/6*q**4 - 1/6*q**2 - 1/2*q**3 + 1/3 = 0. What is q?
-2, -1, 1
Let k(i) be the third derivative of -8*i**7/105 + i**6/6 - i**5/15 + i**2. Suppose k(x) = 0. Calculate x.
0, 1/4, 1
Let i(u) be the third derivative of u**9/15120 - u**7/2520 + u**4/24 + 3*u**2. Let t(d) be the second derivative of i(d). Factor t(l).
l**2*(l - 1)*(l + 1)
Let -b**3 + 2*b**2 + 2*b**5 + 2*b**2 - 4*b**3 + 3*b**3 - 4*b**4 = 0. Calculate b.
-1, 0, 1, 2
Let l(o) = o**3 + 8*o**2 + 6*o - 5. Let z be 46/(-6) + (-14)/(-21). Let m be l(z). Factor 2/3*w - 2/3*w**3 - 2/3 + 2/3*w**m.
-2*(w - 1)**2*(w + 1)/3
Let u = -4 + 3. Let c be (u/3)/((-1)/9). Factor l**4 - l**4 - l**5 + l**c.
-l**3*(l - 1)*(l + 1)
Suppose 4*s - 12 = 4. Suppose s = 2*d - 0. Solve 4*a + 4 + 0*a**2 + 3*a**d - 2*a**2 = 0.
-2
Suppose 0*r = r + 3. Let i be (-8)/(-12) - 4/r. Factor -h**3 + i*h**3 - 2*h + h.
h*(h - 1)*(h + 1)
Let g(o) be the third derivative of 0 + 1/96*o**4 + o**2 - 1/120*o**5 + 0*o + 0*o**3 + 1/480*o**6. Factor g(n).
n*(n - 1)**2/4
Suppose 0 = 3*o + 6, -4*p - o + 4 = 6. Suppose -n - n = p. Factor 0*c**3 + n*c - 2/3*c**4 + 4/3*c**2 - 2/3.
-2*(c - 1)**2*(c + 1)**2/3
Let h(t) be the third derivative of 0*t - 1/60*t**6 + 1/18*t**4 + 1/3*t**3 - 3*t**2 + 7/180*t**5 + 0. Let m(g) be the first derivative of h(g). Solve m(r) = 0.
-2/9, 1
Let p = 0 + -1. Let y be (5 + -4)*p - -3. Determine l so that -2/7*l - 2/7*l**y + 0 = 0.
-1, 0
Let -15*w**4 + 8*w**4 + w**4 + 3*w**2 + 3*w**3 = 0. Calculate w.
-1/2, 0, 1
Let c(y) be the first derivative of -5*y**3/3 + 15*y**2/2 - 10*y + 15. Let c(m) = 0. What is m?
1, 2
Let f(t) = -3*t**4 + 29*t**3. Let o(y) = -y**4 + 10*y**3. Let z(v) = 6*f(v) - 17*o(v). Factor z(w).
-w**3*(w - 4)
Suppose 2*y - 7*y = -4*u + 33, 3*y = -u + 21. Let g = u + -12. Factor -v**3 - 1/3*v**4 - v**2 - 1/3*v + g.
-v*(v + 1)**3/3
Let k(b) be the first derivative of -2*b**3/15 - 2*b**2/5 - 2*b/5 - 2. Factor k(m).
-2*(m + 1)**2/5
Determine g so that -60*g - 213 + 40*g**2 - 87 - 85*g**2 + 42*g**2 = 0.
-10
Let v(o) be the second derivative of o**7/315 + o**6/90 + o**5/90 + o**2/2 + 3*o. Let h(s) be the first derivative of v(s). Let h(n) = 0. Calculate n.
-1, 0
Suppose -351 = -10*x - 311. Suppose 0 - x*s**2 + 4/3*s + 8/3*s**3 = 0. What is s?
0, 1/2, 1
Let r = 20 - 19. Let o(a) = 2*a**3 - 2*a**2 + 2. Let i(x) = x**3 + x**2 - 1. Let u(q) = r*o(q) + 2*i(q). Find m such that u(m) = 0.
0
Let m(d) be the first derivative of d**7/1260 + d**6/135 + d**5/36 + d**4/18 - 2*d**3/3 + 3. Let y(w) be the third derivative of m(w). Factor y(u).
2*(u + 1)**2*(u + 2)/3
Let d(w) = w**5 - 1. Let n(f) = 2*f**5 - 2*f**4 + 2*f**3 + 2*f**2 - 4. Let h(q) = -4*d(q) + n(q). Find a such that h(a) = 0.
-1, 0, 1
Suppose -3*d + k = 0, -2*d - 3*d + 4*k = 0. Factor d + 2/3*z**2 + 4/3*z.
2*z*(z + 2)/3
Suppose -10 = 5*v, -5*d + 1 = 4*v - 1. Factor 6/5*p**d + 6/5*p**3 + 2/5*p**4 + 2/5*p + 0.
2*p*(p + 1)**3/5
Let o(l) = -3*l**3 + 3*l**2 - 2*l - 4. Let h(a) = 7*a**3 - 6*a**2 + 5*a + 9. Let r(s) = 4*h(s) + 9*o(s). Factor r(m).
m*(m + 1)*(m + 2)
Let m(q) = q**3 - 4*q**2 + q - 1. Let z be m(4). Factor 2*x**z - 5*x**2 + 3*x**2 + 2*x - 2*x.
2*x**2*(x - 1)
Let j be (6/(-5))/((-15)/50). Suppose -3*c + 80 = 2. What is x in -4*x**3 - 40*x**2 + c*x**j - 30*x**3 + 0*x**4 + 42*x**5 - 8*x + 14*x**4 = 0?
-1, -2/3, -2/7, 0, 1
Let n be 7/2 - (-1)/2. Let i = -705/7 + 101. Factor 6/7*r**2 + 6/7*r**3 + i*r**n + 2/7*r + 0.
2*r*(r + 1)**3/7
Determine m so that -1/2 + 1/2*m**2 + 0*m = 0.
-1, 1
Let m(f) be the second derivative of f**7/14 - f**6/5 - 9*f**5/20 + f**4 + 2*f**3 + 29*f. Solve m(o) = 0 for o.
-1, 0, 2
Let d(z) = -z**3 + 2*z**2 + 2*z - 2. Let m be 1/(0 + 3/6). Let h be d(m). Suppose 2 + 10*n**2 + n**4 + 8*n**3 + 8*n + 2*n**h + n**4 = 0. What is n?
-1
Determine s so that -s**4 - s + 3*s**4 - 2*s**3 - s**2 - s**2 + 3*s = 0.
-1, 0, 1
Let i(y) be the second derivative of -y**6/10 + 9*y**5/20 - 3*y**4/4 + y**3/2 - 9*y. Suppose i(m) = 0. What is m?
0, 1
Let n(k) be the second derivative of -k**6/165 - k**5/110 + 9*k. Factor n(i).
-2*i**3*(i + 1)/11
Let o(d) be the third derivative of d**5/60 - 7*d**4/24 - d**3 - d**2. Let n be o(8). Factor 6*p - p**5 + p**3 - p**4 + p**n - 6*p.
-p**2*(p - 1)*(p + 1)**2
Let l(w) = w**2. Let d be l(-2). Determine g, given that 0 - 1/5*g**d + 0*g - 4/5*g**2 + 4/5*g**3 = 0.
0, 2
Let d(m) be the first derivative of m**7/1260 + m**6/270 + m**5/180 + 2*m**3/3 + 2. Let r(f) be the third derivative of d(f). Suppose r(x) = 0. What is x?
-1, 0
Let o(x) be the third derivative of -x**10/15120 + x**4/4 + 8*x**2. Let g(s) be the second derivative of o(s). Factor g(r).
-2*r**5
Let x(d) = 5*d**3 + 9*d**2 - 15*d - 4. Let o(l) = -6*l**3 - 8*l**2 + 14*l + 4. Suppose 11 = 3*h - 1. Let j(s) = h*x(s) + 5*o(s). Factor j(z).
-2*(z - 1)*(z + 1)*(5*z + 2)
Let v be ((-120)/180)/((-1)/3). Factor 0*h + 0 + 1/4*h**5 + 0*h**v + 3/4*h**4 + 1/2*h**3.
h**3*(h + 1)*(h + 2)/4
Suppose 0 = -0*m + m - 1. Suppose -5*y - m + 16 = 5*d, -15 = -5*d - 3*y. Factor 2*c**2 - c**d - 4*c**2 + 3*c**2.
-c**2*(c - 1)
Let f be (-18)/(-3) - (-2 + 39/6). Let -6*z**2 + f*z - 15/2*z**3 + 0 = 0. Calculate z.
-1, 0, 1/5
Let i(g) = -2*g + 34. Let z be i(15). Let l(m) be the second derivative of 0 - m - 1/30*m**z - 4/5*m**2 - 4/15*m**3. What is w in l(w) = 0?
-2
Suppose 3*p = 8*p. Let l(f) = -f**2 + 7*f + 20. Let i be l(9). Factor 0 + 0*u**4 + 0*u**3 + p*u + 1/2*u**5 + 0*u**i.
u**5/2
Let c(z) be the first derivative of -1/2*z**2 + 2/5*z**5 + 2*z + 1/2*z**4 - 1/6*z**6 - 4/3*z**3 + 2. What is q in c(q) = 0?
-1, 1, 2
Factor 150*i - 1029 - 5*i**2 + 72 + 0*i**2 - 168.
-5*(i - 15)**2
Suppose -2*l + 4*v + 2 - 4 = 0, 17 = -4*l - 5*v. Let j be l/(-2)*(-40)/(-30). What is p in 3*p**3 + 1/2*p + 1/2*p**5 + j*p**2 + 0 + 2*p**4 = 0?
-1, 0
Let r be (-22)/(-12) - (-26)/39. Let a be (28/(-32))/(3/(-36)). Determine i so that r*i**4 + 11/2*i + 1 + 17/2*i**3 + a*i**2 = 0.
-1, -2/5
Let o(y) be the first derivative of -2*y**3/27 - 2*y**2/9 - 2*y/9 - 8. Find i, given that o(i) = 0.
-1
Let g(o) = -2*o + 11. Let t be g(8). Let p = t - -7. Find z such that z - z**p - z - z**2 - 2*z = 0.
-1, 0
Let f(w) = -w**3 - 17*w**2 + 9*w + 2. Let i(a) = a**3 + 9*a**2 - 5*a - 1. Let h(u) = 4*f