derivative of -b**7/14 - b**6/2 - 3*b**5/2 - 5*b**4/2 - 5*b**3/2 - 3*b**2/2 - 9*b. Factor p(i).
-3*(i + 1)**5
Let l(o) be the first derivative of -4 - 3/14*o**4 - 2/35*o**5 + 0*o**2 - 4/21*o**3 + 0*o. Factor l(h).
-2*h**2*(h + 1)*(h + 2)/7
Let v(l) = 5*l - 42. Let b be v(9). Let r(z) be the first derivative of -2/21*z**3 + 0*z - 1/7*z**2 - b. Suppose r(w) = 0. Calculate w.
-1, 0
Let l = 2 - -1. Factor -6*k**3 + 3*k + 5*k**l - 6 + 4.
-(k - 1)**2*(k + 2)
What is k in 24 - 36*k**2 - 33*k**2 + 28*k + 73*k**2 = 0?
-6, -1
Let d(p) = 4*p**2 - 5*p - 2. Let f(m) = 19*m**2 - 13*m - 11. Let y(o) = 10*o**2 - 6*o - 6. Let q(i) = -3*f(i) + 5*y(i). Let z(s) = 5*d(s) + 3*q(s). Factor z(l).
-(l - 1)**2
Let a(r) be the first derivative of r**4/10 + 2*r**3/15 - 2*r**2/5 + 8. Factor a(o).
2*o*(o - 1)*(o + 2)/5
Let x be (-2)/(-4) - 7/28. Factor -x*b**2 + 1/4 - 1/4*b + 1/4*b**3.
(b - 1)**2*(b + 1)/4
Let z be (-4 + 5)/(3/15). Let k(u) be the second derivative of 0*u**3 + 2*u + 1/24*u**4 - 1/20*u**z + 0 + 1/60*u**6 + 0*u**2. Let k(i) = 0. What is i?
0, 1
Let m(d) = 7*d**5 - 15*d**4 + 13*d**3 - 3*d**2 - 2. Let k(h) = 15*h**5 - 30*h**4 + 25*h**3 - 5*h**2 - 5. Let t(o) = -2*k(o) + 5*m(o). Factor t(j).
5*j**2*(j - 1)**3
Let k be (-2754)/(-378) - (-10)/(-2). Factor 0*u + 4/7*u**5 + 12/7*u**4 + 0*u**3 + 0 - k*u**2.
4*u**2*(u - 1)*(u + 2)**2/7
Let j(k) be the third derivative of k**9/52920 - k**7/8820 - k**4/12 - 3*k**2. Let t(y) be the second derivative of j(y). Factor t(a).
2*a**2*(a - 1)*(a + 1)/7
Let u be -9*128/(-144)*2/8. Solve -8/7 + 24/7*r - 10/7*r**u = 0 for r.
2/5, 2
Let 12*a**4 + 4*a + 103*a**3 + 21*a**2 - 77*a**3 - 3*a**2 = 0. What is a?
-1, -2/3, -1/2, 0
Let y be (-1 - -3) + -1 + 10/(-12). Let d(j) be the second derivative of -y*j**3 + 1/4*j**2 + 1/24*j**4 + 0 - j. What is b in d(b) = 0?
1
Let x(y) be the second derivative of -1/84*y**7 + 0*y**2 + 1/40*y**5 + 1/24*y**4 + 0 + 0*y**3 - 1/60*y**6 + 3*y. Determine f so that x(f) = 0.
-1, 0, 1
Let g be ((-8)/(-36))/((-4)/(-3)). Let o be 2/(-8)*(-6)/(-9)*-1. Let -1/6*u**5 + 1/3*u**2 - 1/6*u**4 - o*u - g + 1/3*u**3 = 0. Calculate u.
-1, 1
Let s(b) be the first derivative of -3*b**5/10 + 81*b**4/32 - 53*b**3/8 + 63*b**2/16 + 27*b/8 - 22. What is g in s(g) = 0?
-1/4, 1, 3
Let z(l) = 17*l**3 + 2*l**2 - l. Let i be z(1). Factor 7*y + 5*y + 0*y - 14 + i - 16*y**2.
-4*(y - 1)*(4*y + 1)
Let r be (-6)/((-45)/12 - -3). Let t = r + -5. What is i in -1/5*i + 2/5*i**2 - 1/5*i**t + 0 = 0?
0, 1
Suppose -4*b - 3*t = -14, -b - 2 - 4 = -4*t. Let u(o) = -o**2 - 7*o - 4. Let n be u(-6). Factor 2*v**3 + 3*v**3 + v**3 - 8*v**b - n*v + 4.
2*(v - 1)**2*(3*v + 2)
Let f(n) be the third derivative of -n**7/350 + n**6/100 + 3*n**5/25 + 7*n**4/20 + n**3/2 - 2*n**2 + 2*n. Determine g so that f(g) = 0.
-1, 5
Let t(l) be the second derivative of -l**8/13440 - l**7/5040 + l**6/720 - 5*l**4/12 + l. Let d(f) be the third derivative of t(f). Find g, given that d(g) = 0.
-2, 0, 1
Let r be (-3)/(-3 - 0)*3. Determine i so that 2*i**4 + r*i**2 - 3*i**3 + i**3 - 2*i**2 - 3*i**2 + 2*i = 0.
-1, 0, 1
Let c(l) be the second derivative of -l**7/126 + l**6/90 - 6*l. Solve c(i) = 0.
0, 1
Let o(u) be the first derivative of u**6/15 - 2*u**4/5 + 4*u**3/15 + 3*u**2/5 - 4*u/5 + 18. Factor o(r).
2*(r - 1)**3*(r + 1)*(r + 2)/5
Let f be (-20)/(-39) - (-34)/221. Factor -4/3 + f*m**2 - 2/3*m.
2*(m - 2)*(m + 1)/3
Let t = -359/3 - -1439/12. Find j, given that 1/2 - t*j - 1/4*j**2 = 0.
-2, 1
Suppose -3*n + 54 = 18. Let f be (n/(-18))/((-2)/4). Factor -2/3 + f*a + 2/3*a**2 - 4/3*a**3.
-2*(a - 1)*(a + 1)*(2*a - 1)/3
Let r(p) = 5*p**3 + 28*p**2 - 2. Let q(z) = -25*z**3 - 139*z**2 + 11. Let l(m) = 2*q(m) + 11*r(m). Find o, given that l(o) = 0.
-6, 0
Let n(o) be the second derivative of -o**5/10 - o**4/3 + o**3 - 9*o. Factor n(z).
-2*z*(z - 1)*(z + 3)
Let h(q) be the third derivative of 0*q**3 - 1/60*q**4 + 1/75*q**5 + 1/840*q**8 + 0*q**6 + 0*q - 2/525*q**7 + 0 + q**2. Find c such that h(c) = 0.
-1, 0, 1
Let g(w) be the first derivative of -w**4/42 + 2*w - 1. Let x(f) be the first derivative of g(f). Solve x(m) = 0.
0
Let r(f) be the first derivative of f**5/35 + f**4/14 + 3. Determine m so that r(m) = 0.
-2, 0
Let r(f) = 6*f**4 + 16*f**3 + 22*f**2 + 14*f + 6. Let s(q) = -q**4 + q**2 + q - 1. Let a(y) = -r(y) - 2*s(y). Factor a(c).
-4*(c + 1)**4
Let u(d) = d**2 + 2*d. Let y be u(-2). Let z = -234 - -236. Factor 2/5*t**3 + y - 4/5*t**z + 2/5*t.
2*t*(t - 1)**2/5
Solve -8/7*y**2 + 6/7*y + 0 + 2/7*y**3 = 0.
0, 1, 3
Factor 15*t**2 - 6*t**2 - 4*t**3 - 5*t**2.
-4*t**2*(t - 1)
Let q(v) be the third derivative of -4*v**2 + 3/2*v**4 + 0*v + 7/20*v**5 - 2*v**3 + 0. Factor q(i).
3*(i + 2)*(7*i - 2)
Factor 0*o + 6*o**3 - 5 + 9*o**2 + 0*o**3 - 6*o - 4*o**3.
(o - 1)*(o + 5)*(2*o + 1)
Let b(d) be the third derivative of -d**5/180 + 7*d**4/36 - 49*d**3/18 - 11*d**2. Find m, given that b(m) = 0.
7
Let k(p) = -3*p**2 + 9*p + 3. Let u be 2 - ((-4 - -3) + 7). Let f(m) = -m**2 + 4*m + 1. Let i(a) = u*k(a) + 9*f(a). Determine l, given that i(l) = 0.
-1, 1
Suppose h - 2*h = 10. Let k(q) = -4*q**4 - 1 - q + 4*q**4 - q**5. Let z(r) = 4*r**5 - 2*r**4 - r**3 + 5*r + 5. Let t(s) = h*k(s) - 2*z(s). Factor t(f).
2*f**3*(f + 1)**2
Suppose -1 = -j + 5*z, 0 = 3*j + 3*z + 31 + 2. Let q = -9 - j. What is d in q*d + 1/4*d**4 - 1/2*d**2 + 1/4 + 0*d**3 = 0?
-1, 1
Let z be 1 + (-5 - 1 - -1). Let v be -1 - (-1 + z/5). Find f such that v*f**2 - 4/5*f**4 - 2/5*f + 0 + 2/5*f**3 = 0.
-1, 0, 1/2, 1
Let o(a) be the third derivative of 0*a**3 - 1/30*a**5 - a**2 + 0*a + 0*a**4 + 1/60*a**6 + 0. Factor o(i).
2*i**2*(i - 1)
Let m be (1/(-18))/((16/(-12))/2). Let k(x) be the second derivative of 0*x**3 + m*x**4 + 0 + 0*x**2 + 2*x. Solve k(h) = 0.
0
Let v(s) = -2*s - 8. Let c = 16 - 22. Let f be v(c). Factor -1/5*g**5 + 2/5*g**f - 1/5*g**3 + 0*g + 0*g**2 + 0.
-g**3*(g - 1)**2/5
Suppose 5*x - 7 = 23. Determine n, given that -3*n**4 - 12*n**3 - n**4 + 0*n**2 - x*n**2 - 2*n**2 = 0.
-2, -1, 0
Factor 1/2 - 1/4*j - 3/4*j**2.
-(j + 1)*(3*j - 2)/4
Suppose 2 = 2*a, r = -a + 3*a + 2. Determine m so that -3*m**r + 12 - m**2 + 24*m + 3*m**5 + 3*m**2 + m**2 - 15*m**3 = 0.
-1, 2
Suppose -5*c = -3*c. Let s(i) be the third derivative of -2*i**2 + 0*i**3 + c*i + 0 + 1/72*i**4 + 1/180*i**5. Factor s(z).
z*(z + 1)/3
Let g be ((-1)/(-6))/(5/15). Determine w, given that 1/3 + g*w + 1/6*w**2 = 0.
-2, -1
Let s(k) = -4*k**5 - 18*k**4 - 6*k**3 + 8*k**2 + 8*k. Let n(x) = -x**5 - 6*x**4 - 2*x**3 + 3*x**2 + 3*x. Let g(a) = 8*n(a) - 3*s(a). Factor g(q).
2*q**3*(q + 1)*(2*q + 1)
Let h be 3/15*17/((-612)/(-40)). Factor -2/9*p**4 + h*p**3 + 0 - 2/9*p + 2/9*p**2.
-2*p*(p - 1)**2*(p + 1)/9
Let l(s) = s + 1. Let i(v) = -5*v**2 - 11. Let t(p) = 6*p**2 - p + 12. Let x(w) = -7*i(w) - 6*t(w). Let c(m) = -10*l(m) + 2*x(m). Factor c(z).
-2*z*(z - 1)
Let k(h) be the third derivative of -h**6/300 + 11*h**5/50 - 121*h**4/20 + 1331*h**3/15 - 22*h**2 + h. Determine v, given that k(v) = 0.
11
Let k(d) be the second derivative of -2*d**6/105 + d**5/10 - 2*d**4/21 - 4*d**3/21 + 13*d. Factor k(s).
-2*s*(s - 2)**2*(2*s + 1)/7
Let s(v) be the second derivative of v**8/5880 - v**7/2940 - v**6/630 + v**3/6 - v. Let y(i) be the second derivative of s(i). Find x, given that y(x) = 0.
-1, 0, 2
Let u be ((-52)/364)/(1/(-13)). Factor 9/7*x**2 + 5/7*x**4 - 1/7*x - 2/7 + u*x**3.
(x + 1)**3*(5*x - 2)/7
Suppose -4*t + 36 = -8*g + 4*g, 3*g - 9 = -3*t. Let h(x) be the first derivative of -1/3*x**3 + 0*x - 1/6*x**t + 0*x**2 - 3/4*x**4 - 1 - 3/5*x**5. Factor h(l).
-l**2*(l + 1)**3
Let t(b) be the third derivative of -b**9/9072 - b**8/5040 - b**3/2 + b**2. Let d(o) be the first derivative of t(o). Find n, given that d(n) = 0.
-1, 0
Let k(t) = -1. Let z(h) = h**2 + 10*h + 29. Let w(b) = 20*k(b) + 5*z(b). Let w(n) = 0. Calculate n.
-5
Let h(o) be the first derivative of -o**6/90 - o**5/20 - o**4/12 - o**3/18 - 3*o - 3. Let a(n) be the first derivative of h(n). Find j such that a(j) = 0.
-1, 0
Let b(p) be the first derivative of p**6/12 - 7*p**5/10 + 9*p**4/4 - 10*p**3/3 + 2*p**2 + 44. Let b(m) = 0. Calculate m.
0, 1, 2
Factor 22/3*y**3 - 24*y**2 - 2/3*y**4 + 128/3 + 32/3*y.
-2*(y - 4)**3*(y + 1)/3
Let g(h) be the third derivative of h**6/120 + h**5/30 + h**4/24 - 10*h**2. Factor g(i).
i*(i + 1)**2