tive of g(h). Factor r(t).
-t*(t + 2)/4
Factor -8/3*m**2 + 17/3*m**3 - 25*m + 4/3*m**4 - 6.
(m - 2)*(m + 3)**2*(4*m + 1)/3
Let n(z) = 3*z**4 + 15*z**3 - 15*z**2. Suppose -p = -0*p - 15. Let i(s) = -s**3 + s**2. Let k(a) = p*i(a) + n(a). Let k(d) = 0. Calculate d.
0
Let g be 4 - 17/5 - (-15)/(-25). Factor 0*h**2 - 2/3*h**3 + g + 2/3*h.
-2*h*(h - 1)*(h + 1)/3
Let f(u) be the third derivative of -u**5/60 + 11*u**4/120 - u**3/15 + 18*u**2. Factor f(w).
-(w - 2)*(5*w - 1)/5
Let 0 - 8/9*g - 2/9*g**2 = 0. Calculate g.
-4, 0
Suppose 0 = -2*z + m + 12, 0*m + 4 = -2*m. Factor 0*r**2 + 0*r**3 + 0*r + 1/2*r**z + 0 - 1/4*r**4.
r**4*(2*r - 1)/4
Let z(v) be the second derivative of 0*v**2 - 1/48*v**4 + 1/80*v**5 + 0 - 1/12*v**3 - 4*v. Factor z(s).
s*(s - 2)*(s + 1)/4
Let v(y) be the third derivative of -3*y**7/35 + 5*y**6/12 - 2*y**5/5 - y**4/3 - 8*y**2. Factor v(b).
-2*b*(b - 2)*(b - 1)*(9*b + 2)
Let p(j) = 2*j - 12. Let k be p(8). Factor 7*n**2 - 4*n**4 + 5*n**2 + k*n**4 - 8*n - 6*n**3 + n**4.
n*(n - 2)**3
Solve 4*d**2 - 4/7*d**3 + 36/7 + 68/7*d = 0.
-1, 9
Let j(p) be the second derivative of -3*p**5/140 + p**4/7 + 5*p**3/14 + 13*p. Factor j(g).
-3*g*(g - 5)*(g + 1)/7
Let v(y) be the third derivative of 0 + 0*y**3 + 2*y**2 - 1/30*y**4 - 1/50*y**5 + 0*y + 1/60*y**6. Solve v(f) = 0 for f.
-2/5, 0, 1
Factor -4/3*f + 2/3*f**2 + 2/3.
2*(f - 1)**2/3
Let i(f) = -9*f**4 + 3*f**3 + 17*f**2 - 11*f - 11. Let v(n) = -26*n**4 + 10*n**3 + 50*n**2 - 34*n - 34. Let d(h) = -14*i(h) + 5*v(h). Factor d(z).
-4*(z - 2)**2*(z + 1)**2
Let c(q) be the second derivative of -q**8/840 + q**7/140 - q**6/60 + q**5/60 + q**3/2 + 2*q. Let g(o) be the second derivative of c(o). What is f in g(f) = 0?
0, 1
Let g(f) = 9*f**4 + 15*f**2 + 12*f + 12. Let v(u) = u**4 + u**2 + u + 1. Let r = -15 - -21. Suppose -10*j = -r*j - 48. Let h(a) = j*v(a) - g(a). Factor h(s).
3*s**2*(s - 1)*(s + 1)
Let s(f) be the first derivative of f**3/12 - f**2/4 + 2. Factor s(d).
d*(d - 2)/4
Factor 4/9*g + 0 - 2/3*g**2 + 2/9*g**3.
2*g*(g - 2)*(g - 1)/9
Suppose p = 3*d - 7, 5*p + 3 = -4*d + 6. Let b(h) = -12*h**2 + 4*h - 2. Let f(m) = m**2 - m + 1. Let x(t) = p*b(t) - 2*f(t). Let x(l) = 0. What is l?
0, 1/5
Factor -3/2*o**2 + 0 - 5/2*o**3 + o.
-o*(o + 1)*(5*o - 2)/2
Suppose -5*h + h + 32 = 0. Let q(k) be the third derivative of 0*k**5 - 1/210*k**7 + 0*k**4 + 0*k + 0*k**3 - k**2 - 1/448*k**h + 0 - 1/480*k**6. Factor q(c).
-c**3*(c + 1)*(3*c + 1)/4
Factor 0*n + 1/5*n**5 + 4/5*n**3 + 0*n**2 - 4/5*n**4 + 0.
n**3*(n - 2)**2/5
Let -9*n**3 - 20*n**4 - 30*n**4 + 15*n**4 + 29*n**3 = 0. What is n?
0, 4/7
Factor 1/3*k**3 + 4/3*k + 0 - 4/3*k**2.
k*(k - 2)**2/3
Let x(f) be the third derivative of f**5/390 + 11*f**4/78 + 121*f**3/39 + 3*f**2. Determine q so that x(q) = 0.
-11
Let s = 0 + 6. Let v = -5 + s. Factor -3*a**2 + 4*a - 1 + 4*a**2 - 3*a**2 - v.
-2*(a - 1)**2
Let p(d) be the second derivative of 3*d + 1/45*d**6 + 0*d**3 - 1/18*d**4 + 0*d**2 + 0*d**5 + 0. Suppose p(x) = 0. Calculate x.
-1, 0, 1
Let o(q) be the first derivative of -4*q**5/5 + 4*q**3 + 4*q**2 + 2. Find m, given that o(m) = 0.
-1, 0, 2
Let q(i) be the third derivative of 0*i + 0*i**5 + 3*i**2 + 0*i**3 + 1/540*i**6 + 0 - 1/108*i**4. Factor q(l).
2*l*(l - 1)*(l + 1)/9
Determine c so that 3 - 5/2*c**5 + 8*c**2 - 11*c**4 + 23/2*c - 9*c**3 = 0.
-3, -1, -2/5, 1
Let m = -5 - -2. Let z(i) = i - 2. Let x be z(m). Let r(p) = 1. Let j(t) = -2*t**2 - 4*t + 3. Let b(a) = x*r(a) + j(a). Determine w, given that b(w) = 0.
-1
Let p be 3*(6 - (-56)/(-12)). Let a(t) be the first derivative of -t + 3 - t**2 + 0*t**3 + 1/2*t**p + 1/5*t**5. Solve a(c) = 0 for c.
-1, 1
Let x = -139699/100 + 1397. Let a(d) be the third derivative of x*d**5 + 0*d**3 + d**2 + 0 + 0*d - 1/60*d**4. Factor a(n).
n*(3*n - 2)/5
Let r = -3 + -5. Let i be 1/4 + (-22)/r. Factor 0*u**2 + 0*u + 0 + 1/4*u**4 - 1/4*u**i.
u**3*(u - 1)/4
Let k(z) be the third derivative of z**10/529200 + z**9/105840 + z**8/70560 + 3*z**5/20 - 9*z**2. Let i(b) be the third derivative of k(b). Factor i(o).
2*o**2*(o + 1)**2/7
Let h(z) = -2*z**2 + z. Let g(q) = 20*q**2 + 108*q - 900. Let v(c) = -g(c) - 12*h(c). Find i, given that v(i) = 0.
15
Let h be (((-12)/90)/1)/(2/(-5)). What is p in 0 + h*p**3 + 1/3*p**4 - 1/3*p - 1/3*p**2 = 0?
-1, 0, 1
Let z(r) = r**3 - 1. Let c(m) = 45*m**2 - 225*m + 372. Let f(i) = -c(i) + 3*z(i). Factor f(h).
3*(h - 5)**3
Let w = 5644/9087 - 4/699. Let -2/13*i**2 + w + 6/13*i = 0. What is i?
-1, 4
Suppose 6*u = u. Let l be (-115)/(-35) + 1 + -4. Factor 0 + u*o - l*o**2.
-2*o**2/7
Let j = 2216/791 + -26/113. Let 4/7*u**2 + 0*u + 0 + 8/7*u**4 - j*u**3 = 0. Calculate u.
0, 1/4, 2
Let f = 71 - 70. Let r(i) be the first derivative of -i**2 - f - i - 1/3*i**3. Factor r(m).
-(m + 1)**2
Let w(i) be the third derivative of i**7/2520 - i**5/120 - i**4/12 + 2*i**2. Let v(d) be the second derivative of w(d). Find m, given that v(m) = 0.
-1, 1
Let j(r) be the second derivative of r**6/70 - 3*r**5/140 - 3*r**4/28 + 5*r**3/14 - 3*r**2/7 + 15*r. Determine k so that j(k) = 0.
-2, 1
Let g(f) be the third derivative of 1/21*f**3 - 1/42*f**4 + 0*f - 1/105*f**6 - 1/30*f**5 + 4*f**2 + 0. Factor g(h).
-2*(h + 1)**2*(4*h - 1)/7
Let i(y) be the second derivative of -1/90*y**6 - 8*y + 0*y**2 + 0 + 1/60*y**5 + 1/18*y**4 + 0*y**3. Suppose i(f) = 0. Calculate f.
-1, 0, 2
Let h(i) = i**3 - 8*i**2 + 8*i - 2. Let s be h(7). Suppose -s*k = -4*k - 2. Factor 2 - 5*p**k - 10 + 3*p**2 - 8*p.
-2*(p + 2)**2
Let m(x) be the first derivative of 16*x**3/15 + 4*x**2/5 + x/5 - 4. Let m(s) = 0. What is s?
-1/4
Let f(d) be the third derivative of -4*d**7/105 - 11*d**6/60 + d**5/10 + 10*d**2. Suppose f(v) = 0. What is v?
-3, 0, 1/4
Let z be -3*1 + (1 - 0). Let q(u) = -u**2 - 4*u - 2. Let s be q(z). Factor 2 - 2 - j**s - j**3.
-j**2*(j + 1)
Let z(u) be the third derivative of u**7/420 - u**6/360 - u**5/30 + u**4/8 - 2*u**2. Let o(i) be the second derivative of z(i). Factor o(y).
2*(y - 1)*(3*y + 2)
Let t be 1/(-2) + 3/6. Find u, given that -4*u - 2*u**4 + 8*u**3 + 8*u - 10*u**2 + t*u = 0.
0, 1, 2
Let n(k) be the first derivative of k**6/6 - 11. Determine z so that n(z) = 0.
0
Factor 6 - 12 - 16*d + 10 + 10 + 2*d**2.
2*(d - 7)*(d - 1)
Let h be 2/6 + ((-22)/(-6))/1. Let v(p) be the second derivative of 3*p - p**2 - 10/3*p**3 + 0 - 25/6*p**h. Suppose v(r) = 0. Calculate r.
-1/5
Let u(t) = -4*t**2 - 12*t - 3. Let l(w) = -1. Let h(s) = -5*l(s) - u(s). What is a in h(a) = 0?
-2, -1
Let n be 56/17 - (6 + -3). Let a = 9/85 + n. Suppose 8/5*m - 4/5*m**3 - a*m**4 + 6/5*m**2 - 8/5 = 0. Calculate m.
-2, 1
Let m(q) be the second derivative of -2*q**6/15 + q**5/5 + q**4/3 - 2*q**3/3 + 9*q. Factor m(v).
-4*v*(v - 1)**2*(v + 1)
Factor -59*n**3 - 34*n**2 + 4*n**5 - 6*n**2 + 12*n + 107*n**3 - 24*n**4.
4*n*(n - 3)*(n - 1)**3
Let r(v) be the first derivative of v**9/1176 + v**8/392 - v**7/588 - v**6/84 + v**4/21 + v**3/3 + 1. Let c(d) be the third derivative of r(d). Factor c(l).
2*(l + 1)**3*(3*l - 2)**2/7
Let c be 14/12 - (-12 - -5)/(-14). Let q be 3/2*8/6. Factor 4/3*s - 2/3 - c*s**q.
-2*(s - 1)**2/3
Let f(n) be the third derivative of 0*n - 4*n**2 - 2/21*n**3 - 1/28*n**4 + 0 - 1/210*n**5. Find s, given that f(s) = 0.
-2, -1
Let l(c) be the first derivative of -9*c**5/40 + 3*c**4/32 + 5*c**3/24 + c**2/16 - 2. What is u in l(u) = 0?
-1/3, 0, 1
Let b(g) = g. Let a(k) = -2*k**4 - 2*k**3 + 4*k**2 + 4*k. Let h(m) = a(m) - 4*b(m). Find q, given that h(q) = 0.
-2, 0, 1
Let m(h) be the second derivative of h**6/40 - h**5/10 - h**4/8 + h**3 + 5*h**2/2 + h. Let r(l) be the first derivative of m(l). Determine n so that r(n) = 0.
-1, 1, 2
Let r(q) be the first derivative of -q**4/4 + 2*q**3 + 6*q**2 - 1. Let b(t) = -3*t**3 + 21*t**2 + 42*t. Let v(w) = 5*b(w) - 18*r(w). Factor v(p).
3*p*(p - 2)*(p + 1)
Let f(h) = h**3 - 3*h**2 - 5*h + 4. Let d be f(4). Suppose 3*q + 2*q - 5 = d. Factor -5*g**2 + 3*g**2 - q - 2*g + g**2.
-(g + 1)**2
Let b(h) be the third derivative of 1/140*h**6 + 1/245*h**7 + 2*h**2 + 0*h**3 + 1/1176*h**8 + 0*h + 1/210*h**5 + 0 + 0*h**4. Solve b(r) = 0.
-1, 0
Factor -7*v**4 + 2*v - v**3 - 4*v**3 - 7*v**3 + v**2 - 4*v**2.
-v*(v + 1)**2*(7*v - 2)
Let y(m) be the third derivative of m**7/504 + m**6/240 - m**5/60 + 5*m**4/24 + 8*m**2. Let c(z) be the second derivativ