 - 18*f**5. Let j(l) = m(l) + 12*y(l). Factor j(k).
-2*k**2*(k - 1)**2*(3*k - 2)
Let h(f) = f**2 + 1. Let u be h(-1). Let d(q) = q**3 + 6*q**2 + 3. Let w be d(-6). Factor 0*n**w - n**5 + n**2 + n**4 + n**3 - 2*n**u.
-n**2*(n - 1)**2*(n + 1)
Suppose 4*p - 5*v - 42 = 0, 4*p - 3*p + 4*v = 0. Determine b, given that 32 - p + 1147*b**5 + 386*b + 3456*b**4 - 62*b + 68*b**5 + 3543*b**3 + 1602*b**2 = 0.
-1, -2/5, -2/9
Let m(n) be the first derivative of -n**5/70 - n**4/21 - n**3/21 + n - 3. Let y(j) be the first derivative of m(j). Find k such that y(k) = 0.
-1, 0
Let q(x) = 6*x**3 + 11*x**2. Let c(r) = r**3 + 2*r**2. Let n(i) = 11*c(i) - 2*q(i). Factor n(g).
-g**3
Let q(c) be the third derivative of 1/30*c**5 + 1/3*c**3 - 1/6*c**4 + 0 + 0*c + c**2. Factor q(h).
2*(h - 1)**2
Let y(o) be the third derivative of 0*o - 1/15*o**3 - 1/600*o**6 + 1/40*o**4 - 4*o**2 + 0 + 0*o**5. Suppose y(q) = 0. What is q?
-2, 1
Let u = 5 - 3. Factor -5*p**2 + p**u + 3 + 3*p**2 - 2.
-(p - 1)*(p + 1)
Let x be (-8)/(-6)*3 + 0. Suppose 0 = -3*j + 7 + 2. Find v, given that -2*v - x*v**2 + 3*v**2 + 4*v - v**j = 0.
-2, 0, 1
Let c(a) = -a**3 - 5*a**2 - 4*a. Let h be c(-4). Suppose -5*m + 15 = -2*z - z, h = m - z - 5. Factor -4/3*y**2 + m - y.
-y*(4*y + 3)/3
Let m(s) be the first derivative of -s**7/1050 - s**6/200 - s**5/100 - s**4/120 - s**2/2 + 8. Let z(b) be the second derivative of m(b). Factor z(a).
-a*(a + 1)**3/5
Let f(b) be the first derivative of -b**4/12 - 14*b**3/3 - 98*b**2 - 2744*b/3 + 24. Factor f(a).
-(a + 14)**3/3
Suppose -4*p = -5*l - 0 - 3, 2*p - l - 3 = 0. Find g such that 24*g + 6*g**3 - 7*g**2 - 4*g**3 + 2*g**2 - 16 - 7*g**p = 0.
2
Let b(u) = -3*u**4 + 13*u**3 - 9*u**2 + 7*u - 4. Let y(z) = 3*z**4 - 14*z**3 + 9*z**2 - 8*z + 5. Let l(w) = -5*b(w) - 4*y(w). What is q in l(q) = 0?
0, 1
Let r(z) = 14*z**4 - 2*z**3 - 8*z**2 + 8*z. Let m(l) = 5*l**4 - l**3 - 3*l**2 + 3*l. Let y(i) = 8*m(i) - 3*r(i). Factor y(j).
-2*j**3*(j + 1)
Suppose 4*s = -2*h, 0*s = 4*h + 4*s - 4. Factor h*l + 3 + 1/3*l**2.
(l + 3)**2/3
Let p = -273/5 - -55. Let v(i) be the second derivative of 0*i**2 + 1/3*i**3 - 2*i + p*i**5 - 1/10*i**6 + 0 - 7/12*i**4. Let v(j) = 0. Calculate j.
0, 2/3, 1
Let m = 22 + -10. Suppose 5*i = m + 3. Factor -g**2 + 2*g**2 + 5*g**4 - 3*g**2 + 3*g**i.
g**2*(g + 1)*(5*g - 2)
Let r(o) = -7*o**2 + 5*o + 3. Let n = -5 - -5. Suppose n = -0*d - 2*d - 2. Let x(k) = -k**2 + 1. Let q(g) = d*r(g) + 5*x(g). Factor q(i).
(i - 2)*(2*i - 1)
Let g(h) be the third derivative of -1/12*h**4 + 0*h**5 + 2/9*h**3 + 0 + 1/180*h**6 + 0*h - 3*h**2. Factor g(y).
2*(y - 1)**2*(y + 2)/3
Let x(r) be the third derivative of r**9/30240 - r**7/2520 + 7*r**5/60 + 6*r**2. Let v(h) be the third derivative of x(h). Factor v(z).
2*z*(z - 1)*(z + 1)
Factor 4/11*v**2 + 0*v + 6/11*v**4 + 10/11*v**3 + 0.
2*v**2*(v + 1)*(3*v + 2)/11
Let x(b) be the second derivative of -b**9/7560 - b**8/840 - b**7/210 - b**6/90 - b**5/60 - b**4/3 - 3*b. Let y(q) be the third derivative of x(q). Factor y(w).
-2*(w + 1)**4
Let b(m) = -2*m**2 - 2*m + 62. Let z be b(5). Factor -8/3 + 8*s + 14/3*s**z.
2*(s + 2)*(7*s - 2)/3
Suppose 0*v + 14 = 2*v. Suppose -3*z + 25 = v. Factor -z*k**5 - 4*k**3 + k**5 - 3*k**3 + k**2 + 11*k**4.
-k**2*(k - 1)**2*(5*k - 1)
Let p(o) = 15*o**2 - 120*o. Let m(d) = d**2 - 7*d. Let a(c) = 35*m(c) - 2*p(c). Factor a(q).
5*q*(q - 1)
Let u be (-160)/(-100) + (2 - 16/10). Let f = 245/177 - 3/59. What is z in -1/3*z**4 - 2*z**u - f*z - 4/3*z**3 - 1/3 = 0?
-1
Let f(g) be the second derivative of 1/10*g**3 - 5*g - 1/20*g**4 - 3/100*g**5 + 3/10*g**2 + 0. Factor f(j).
-3*(j - 1)*(j + 1)**2/5
Let d(a) be the third derivative of 0*a**3 + 0 + 0*a - 1/180*a**5 + 1/72*a**4 + 7*a**2. Find s, given that d(s) = 0.
0, 1
Suppose 4*f + 8 = -c, 5*c - f = -5*f - 8. Suppose c*u**3 + 0*u - 2/7*u**5 + 0 + 0*u**2 + 2/7*u**4 = 0. What is u?
0, 1
Suppose -2*t = 0, -88 = -j + 5*j - 2*t. Let r(v) = -2*v**3 + 2*v**2 - v + 1. Let k(g) = 7*g**3 - 8*g**2 + 4*g - 3. Let p(b) = j*r(b) - 6*k(b). Factor p(a).
2*(a - 1)*(a + 1)*(a + 2)
Let u(c) be the second derivative of -c**7/630 + c**6/90 - c**4/6 + 3*c. Let x(b) be the third derivative of u(b). What is a in x(a) = 0?
0, 2
Let s = -33 + 34. Let p be 192/18*s/4. Factor 9*y**4 + 9*y**5 - 6*y**3 - p*y - 28/3*y**2 + 0.
y*(y - 1)*(3*y + 2)**3/3
Let v(c) = c**3 + 6*c**2 + c + 9. Let r be v(-6). Let p be 2/(r + 4 - 4). What is k in 2/3*k**2 + 0 + p*k = 0?
-1, 0
Let y(s) be the third derivative of 7*s**6/120 - 3*s**5/20 - s**4/2 + 2*s**3/3 - 36*s**2. Factor y(r).
(r - 2)*(r + 1)*(7*r - 2)
Let n(h) be the first derivative of -h**3 + 3*h - 5. Solve n(j) = 0.
-1, 1
Let j(d) be the third derivative of d**10/50400 - d**9/6720 + d**8/3360 + 7*d**5/60 - 3*d**2. Let c(k) be the third derivative of j(k). Factor c(w).
3*w**2*(w - 2)*(w - 1)
Let w(s) be the first derivative of s**7/3780 - s**5/540 + 3*s**3 + 9. Let l(m) be the third derivative of w(m). Factor l(k).
2*k*(k - 1)*(k + 1)/9
Let q(x) be the second derivative of 0 + x - 1/24*x**3 - 1/48*x**4 + 0*x**2. Find j, given that q(j) = 0.
-1, 0
Let y be 5/15 + 5/3. Factor -y*t**5 - t**5 - 5*t**3 - 3*t + 11*t**3.
-3*t*(t - 1)**2*(t + 1)**2
Let l = -909 - -911. What is b in -4/5 + 3/5*b + 1/5*b**l = 0?
-4, 1
Let z(d) be the first derivative of 7*d**6/45 - 3*d**5/10 - 2*d**4/3 + 4*d**3/9 + 8*d + 5. Let g(u) be the first derivative of z(u). Find h such that g(h) = 0.
-1, 0, 2/7, 2
Let w(j) = -3 + 4*j**2 - 2*j - 3*j - 2 + 4*j. Let o(t) = -2*t**2 + 2. Let p(g) = -9*o(g) - 4*w(g). Let p(h) = 0. Calculate h.
-1
Let s be -12 + 6 - -6 - -2. Let z(g) be the second derivative of 0*g**s - 2*g - 1/42*g**4 + 0 + 2/21*g**3. Factor z(u).
-2*u*(u - 2)/7
Let -6/17*z - 2/17 - 2/17*z**3 - 6/17*z**2 = 0. What is z?
-1
Suppose -3*t = -1 - 5. Let h(j) be the third derivative of 0*j**3 + 0*j + 0 - 2*j**t + 1/15*j**5 + 1/12*j**4. Solve h(d) = 0.
-1/2, 0
Let -37*j**3 - 10*j + 32*j**3 + 23*j**2 + 2*j**2 - 40 = 0. Calculate j.
-1, 2, 4
Let t(l) be the third derivative of 0*l + 0*l**4 + 1/150*l**5 + 0 + 1/100*l**6 + l**2 + 1/175*l**7 + 1/840*l**8 + 0*l**3. Solve t(r) = 0 for r.
-1, 0
Let c(q) be the second derivative of -q**5/90 + q**4/27 - q**3/27 + 16*q. Factor c(t).
-2*t*(t - 1)**2/9
Let k(p) be the first derivative of p**4 - 4*p**3/3 - 2*p**2 + 4*p + 6. What is i in k(i) = 0?
-1, 1
Let n(o) be the third derivative of o**8/192 - 3*o**7/280 - 19*o**6/480 + 13*o**5/240 + o**4/8 - o**3/6 + o**2. Determine u so that n(u) = 0.
-1, 2/7, 1, 2
Suppose -6*r + 4*r + 22 = 0. Let u = -7 + r. Suppose -4/3*s**3 + 0*s - 2/3*s**2 - 2/3*s**u + 0 = 0. What is s?
-1, 0
Let x = 436 + -3044/7. What is t in -2/7 + x*t - 2/7*t**4 - 16/7*t**3 + 8/7*t**5 + 4/7*t**2 = 0?
-1, 1/4, 1
Let d(p) be the third derivative of -p**8/224 - 11*p**7/420 - p**6/40 + p**5/10 + p**4/6 - 48*p**2. Let d(s) = 0. Calculate s.
-2, -2/3, 0, 1
Find z, given that -1/3*z**2 + 1/3*z + 2/3 = 0.
-1, 2
Factor 2/11*r**5 + 18/11*r - 48/11*r**2 + 4*r**3 - 16/11*r**4 + 0.
2*r*(r - 3)**2*(r - 1)**2/11
Factor -22/5*a + 2*a**2 + 4/5.
2*(a - 2)*(5*a - 1)/5
Let v(p) be the second derivative of 0*p**3 + 0*p**4 - 2*p + 1/60*p**5 + 0*p**2 + 0 - 1/90*p**6. Factor v(i).
-i**3*(i - 1)/3
Let g(w) be the third derivative of w**8/112 + w**7/70 - w**6/40 - w**5/20 - 9*w**2. Factor g(y).
3*y**2*(y - 1)*(y + 1)**2
Suppose 3*a = n + 9 - 2, 0 = -5*a + n + 11. Factor 4*f - 2*f**a + 4*f - 12*f.
-2*f*(f + 2)
Factor 0 - 1/4*x**4 + 0*x + 1/2*x**2 + 1/4*x**3.
-x**2*(x - 2)*(x + 1)/4
Let y(v) = 3*v**2 - 42*v. Let c be y(14). Let a(z) be the first derivative of 1/3*z**5 + c*z**2 - 1/9*z**3 - 1/6*z**6 - 1/12*z**4 + 0*z - 3. Factor a(g).
-g**2*(g - 1)**2*(3*g + 1)/3
Let q = 46 - 44. Find g, given that -q*g - 2 - 1/2*g**2 = 0.
-2
Let i(m) be the first derivative of m**4/6 - 2*m**3/3 + m**2 + 2*m - 2. Let k(p) be the first derivative of i(p). Suppose k(z) = 0. Calculate z.
1
Let q be 0/(1/4*4). Suppose q = m + 5 - 7. Determine g, given that -11/3*g**3 - 2/3*g**m + 8/3 - 2*g**4 + 4*g - 1/3*g**5 = 0.
-2, -1, 1
Let j(o) be the third derivative of -o**9/9072 - o**8/10080 + o**7/1512 + o**6/1080 + o**4/12 - 3*o**2. Let p(n) be the second derivative of j(n). Factor p(d).
-d*(d - 1)*(d + 1)*(5*d + 2)/3
Let q(b) be the third derivative of b**7/210 - b**5/60 + 2*b**2. Find h