 = 6*b(c) - 2*h(c). Factor y(w).
-4*w*(w + 1)*(2*w + 1)
Let j(p) be the first derivative of -p**6/24 - 3*p**5/10 + 15*p**4/16 - 2*p**3/3 + 57. Factor j(a).
-a**2*(a - 1)**2*(a + 8)/4
Let s be 3 - (-5)/(-30)*15. Solve 0 + s*z + 1/4*z**2 = 0 for z.
-2, 0
Let w(h) = -h + 7. Suppose l + l - 10 = 0. Let d be w(l). Suppose 10*i**3 - 15*i**d - 1 + 5*i + 2*i - i**3 = 0. What is i?
1/3, 1
Let n(i) = 5*i**2 - 4. Suppose 1 + 2 = z. Let y(l) = 4*l**2 - 3. Let x(u) = z*n(u) - 4*y(u). Find o such that x(o) = 0.
0
Let z(m) be the first derivative of m**9/336 + m**8/70 + 11*m**7/420 + m**6/45 + m**5/120 + m**3 + 2. Let p(y) be the third derivative of z(y). Factor p(u).
u*(u + 1)**2*(3*u + 1)**2
Let t be (1/(-7))/(57/(-21) + 1). Let m(j) be the second derivative of -1/3*j**2 + 0 + 1/18*j**3 - j + t*j**4. Determine v so that m(v) = 0.
-1, 2/3
Let z(k) be the second derivative of -k**5/130 + 2*k**4/39 + 26*k - 1. Solve z(c) = 0.
0, 4
Suppose 10 = 5*n, -7 + 1 = -2*c - n. Let y be (1/(-33))/(0 - (-6)/(-36)). Factor -y*k**c + 2/11 - 6/11*k + 6/11*k**3.
2*(k - 1)*(k + 1)*(3*k - 1)/11
Let i(t) = -t - 17*t**3 + 2 + 3*t + 18*t**3 - 3*t**2. Let l be i(2). Let 0 + 7/2*h**l + h + 5/2*h**3 = 0. What is h?
-1, -2/5, 0
Let p(s) be the third derivative of -s**8/336 + s**7/105 - s**6/120 + 9*s**2. Factor p(r).
-r**3*(r - 1)**2
Let z(i) be the first derivative of 2 + 0*i - 1/3*i**3 + 0*i**2. Factor z(p).
-p**2
Let m(o) = -4*o**3 + 3*o**2. Let z(f) = -2*f**3 + f**2. Let u(g) = 2*m(g) - 5*z(g). Let u(k) = 0. What is k?
-1/2, 0
Let c(w) be the second derivative of w**4/54 - w**3/9 + 2*w**2/9 - 6*w. Solve c(t) = 0.
1, 2
Let u(q) be the second derivative of q**5/130 + q**4/39 + q**3/39 - 3*q. Solve u(o) = 0.
-1, 0
Let o = -19 + 22. Suppose 5*a + 4*j = 28, 4*j = o*a + 3*j - 10. Let -5*p**2 - p + 0 + 5*p**a - 21/4*p**3 + 25/4*p**5 = 0. What is p?
-1, -2/5, 0, 1
Let f(y) = -3*y**4 + 2*y**3 + y**2. Let a(w) = 4*w**4 - 3*w**3 - w**2. Let p(c) = 4*a(c) + 5*f(c). Find v such that p(v) = 0.
0, 1
Let p = -4 + 2. Let i be (-5 - -4)/(1/p). Factor -n**2 + 0*n**2 - n**i.
-2*n**2
Let o(c) = 1. Let q = 0 + 1. Let g(h) = 2*h**2 - 12*h + 12. Let a(w) = q*g(w) + 6*o(w). Factor a(v).
2*(v - 3)**2
Let w be (-20)/(-10)*2/18. Find x, given that 2/3*x**2 + w*x - 4/9 - 2/9*x**3 - 2/9*x**4 = 0.
-2, -1, 1
Let h(r) be the third derivative of -r**6/360 - r**5/120 + 2*r**3/3 + 8*r**2. Let y(l) be the first derivative of h(l). Factor y(b).
-b*(b + 1)
Let p(s) = -s**3 + 8*s**2 + 3*s + 8. Let u(f) = f - 1. Let j(v) = p(v) + 6*u(v). Let z be j(9). Factor 0*x**2 + 0*x**2 - 2*x - 4*x**2 + 2*x**z.
-2*x*(x + 1)
Factor -9*i**4 + 28*i**3 + 5*i**3 - 13*i**2 + 4*i**2 - 9*i - 6*i**2.
-3*i*(i - 3)*(i - 1)*(3*i + 1)
Let s(z) be the third derivative of z**7/210 - z**6/40 + z**4/6 + 5*z**2. Find l, given that s(l) = 0.
-1, 0, 2
Let c(x) be the first derivative of x**6/3 + 2*x**5/5 - x**4/2 - 2*x**3/3 + 7. Suppose c(y) = 0. Calculate y.
-1, 0, 1
Let k be 191/12 - (-4)/(-16). Let w = 16 - k. Factor -1/3*h**2 - w*h**3 + 0 + 0*h.
-h**2*(h + 1)/3
Factor -2/9*x**5 + 0 + 2/3*x**3 + 2/9*x**4 - 10/9*x**2 + 4/9*x.
-2*x*(x - 1)**3*(x + 2)/9
Let m(i) = -i**2 - i + 7. Let u be m(0). Suppose -u = -3*s + 11. Let 3*y**2 - 6*y**2 + 3*y - 3*y**5 + s*y**4 - 3*y**2 = 0. Calculate y.
-1, 0, 1
Let j(p) = 2*p**3 + p - p**3 - 5 + 5 + 1 + 3*p**2. Let y be j(-2). Factor 0*b**y + 3*b**3 - 2*b**3.
b**3
Let l(z) = -z**2 + 5*z + 1. Let u be l(4). Let a be 36/24*u/3. Factor 1 - 1/2*j**3 + 2*j**2 - a*j.
-(j - 2)*(j - 1)**2/2
Let g(j) be the third derivative of j**6/200 - 21*j**5/50 + 147*j**4/10 - 1372*j**3/5 + 37*j**2. Factor g(v).
3*(v - 14)**3/5
Let l(p) = p**3 - 16*p**2 + 14*p + 17. Let b = 2 + 13. Let r be l(b). Find o such that 1/3*o**3 - 1/3*o**4 - 1/3*o + o**r - 2/3 = 0.
-1, 1, 2
Suppose -3*m + 8 = -10. Let i = 8 - m. Find x, given that -11*x**2 + 7*x**2 - x**4 + 2*x - i*x**5 + 5*x**4 = 0.
-1, 0, 1
Let j be -1 + 4 + (-10)/(-10). Suppose 3*f**2 + 7/3*f**3 - j*f - 4/3 = 0. What is f?
-2, -2/7, 1
Let w = -5 - -8. Let v = 7 - w. What is s in 0*s**4 + 2*s**v - 4*s**4 = 0?
0
Let s be (-2)/2*-1 - -8. Suppose s = -5*q - 3*k, 2*q = -0*k + 5*k + 15. Factor q + v**2 - 1/2*v**3 - 1/2*v.
-v*(v - 1)**2/2
Factor 2/7*z**2 + 8/7*z + 0.
2*z*(z + 4)/7
Let f(s) be the first derivative of -s**5/20 - 3*s**4/16 - s**3/12 + 3*s**2/8 + s/2 - 7. Factor f(u).
-(u - 1)*(u + 1)**2*(u + 2)/4
Let q(n) be the first derivative of -n**6 - 52/9*n**2 + 4 + 268/27*n**3 - 19/2*n**4 + 16/9*n + 24/5*n**5. Determine c so that q(c) = 0.
2/3, 1
Let y(b) = -b**2 - b - 1. Let g(h) = -12*h**2 - 16*h + 20. Let k(x) = -g(x) - 24*y(x). Solve k(q) = 0.
-1, -1/9
Suppose -5*u + 8 - 7 = -v, -2 = 2*v. Factor 0 - 2/5*a**4 + 4/5*a**3 + u*a**2 + 0*a.
-2*a**3*(a - 2)/5
Let k be 3/(3/4 - (-15)/20). Factor 4/9 - 2/9*m**k - 2/9*m.
-2*(m - 1)*(m + 2)/9
Factor -6*j**2 - 3*j**3 - 8*j**2 - 6*j**2 + 8*j**2.
-3*j**2*(j + 4)
Suppose 0 = 15*d + 1 - 46. Solve 4/3*z**2 - 2/3*z**d - 4/3 + 2/3*z = 0.
-1, 1, 2
Let z be 3 + 404/(-60) + 4. Let y(b) be the first derivative of -z*b**3 - 1/5*b**2 - 1 - 1/10*b**4 + 0*b. Find q such that y(q) = 0.
-1, 0
Factor 1/7*i**4 - 1/7*i**2 + 1/7*i**3 + 0 - 1/7*i.
i*(i - 1)*(i + 1)**2/7
Factor -2*a + 2*a**2 - 2 - 2 - 4 + 2*a**3 + 6.
2*(a - 1)*(a + 1)**2
Let j be 1*(13 + -12) + (-12)/14. Determine t so that 1/7*t**4 + j*t**2 + 0*t + 0 + 2/7*t**3 = 0.
-1, 0
Let m(d) be the third derivative of d**7/630 - d**6/120 + 7*d**2. Factor m(g).
g**3*(g - 3)/3
Suppose -5*t = -0*t. Let q(p) be the third derivative of 0*p**3 + t*p + 1/140*p**6 + 1/84*p**4 + 0 + 1/735*p**7 - 2*p**2 + 1/70*p**5. Let q(x) = 0. Calculate x.
-1, 0
Let u be 6*(15/(-9) + 2). Let j = -10/161 - -8/23. Find w such that 2/7*w**u + j - 4/7*w = 0.
1
Let o(f) be the first derivative of 2/3*f**3 + 4*f**2 - 1 + 8*f. Factor o(y).
2*(y + 2)**2
Let -3/8*c**3 - 3/4 - 3/8*c**4 + 3/8*c + 9/8*c**2 = 0. What is c?
-2, -1, 1
Factor -c**4 + 4*c**2 - 3*c**2 + 5*c - 5*c + c**5 - c**3.
c**2*(c - 1)**2*(c + 1)
Let g(x) be the third derivative of -x**5/120 + 3*x**4/8 - 27*x**3/4 + 44*x**2 - x. Suppose g(f) = 0. Calculate f.
9
Let v(w) be the first derivative of w**5/35 + w**4/28 - w**3/21 - w**2/14 - 11. Solve v(u) = 0.
-1, 0, 1
Let m(c) be the second derivative of 0 + 1/6*c**4 + 5*c - 1/30*c**5 + 0*c**3 + 0*c**2. Factor m(w).
-2*w**2*(w - 3)/3
Let d(f) be the second derivative of f**7/42 - f**5/20 + 6*f. Solve d(l) = 0.
-1, 0, 1
Let s(h) = -h**3 + 4*h**2 + 2*h - 1. Let v(r) = -r**3 + 21 - 22 - r - r**2 - r**4 + r**3. Let b(m) = -s(m) - v(m). Solve b(w) = 0 for w.
-2, -1, 1
Let f(l) = -12*l**2 + 72*l - 108. Let d(r) = -4*r**2 + 24*r - 36. Let t(u) = -16*d(u) + 5*f(u). Factor t(n).
4*(n - 3)**2
Let t(i) = i**2 + i + 1. Let b(w) = -3*w**3 - 7*w**2 - 4*w - 1. Let s(u) = -b(u) - t(u). Suppose s(v) = 0. What is v?
-1, 0
Let i(r) be the third derivative of r**11/1330560 - r**9/241920 - r**5/60 - r**2. Let g(p) be the third derivative of i(p). Determine a so that g(a) = 0.
-1, 0, 1
Suppose -2 = -2*l + 4. Suppose -c - 6 = 3*h - 5*h, 5*h - 37 = -l*c. Factor -c - 25/2*x**3 - 35*x**2 - 22*x.
-(x + 2)*(5*x + 2)**2/2
Let s(m) = 2*m - 3. Let r be s(5). Suppose -4*j = -r*j. Factor 2/7*v**3 + 0 + j*v + 2/7*v**2 - 2/7*v**5 - 2/7*v**4.
-2*v**2*(v - 1)*(v + 1)**2/7
Let z(f) be the first derivative of 0*f**4 + f**2 - 1/20*f**6 + 0*f**3 + 1/30*f**5 - 1 + 0*f. Let s(l) be the second derivative of z(l). Factor s(j).
-2*j**2*(3*j - 1)
Suppose 0 = 3*s + 11 + 97. Let r be 4*(s/40)/(-3). Factor 6/5*g**2 + 2/5*g + 0 + 2/5*g**4 + r*g**3.
2*g*(g + 1)**3/5
Suppose 2*r + 8 = 6*r - 4*h, -3*r - 5*h + 14 = 0. Factor -u**r - u - u**3 + 3*u**3.
u*(u - 1)*(u + 1)
Let q(y) = y**3 - y**2 + y. Let j(z) = 4*z**3 - 2*z**2 + z. Let o be ((-6)/7)/(7/(-196)). Suppose 0*k + o = 4*k. Let u(t) = k*q(t) - 2*j(t). Factor u(a).
-2*a*(a - 1)*(a + 2)
Solve -2/3*m + 1/3*m**2 + 1/3 = 0.
1
Let 0*r + 0 + 1/6*r**4 - 2/3*r**3 + 2/3*r**2 = 0. Calculate r.
0, 2
Let t be ((-15)/(-8))/5*2. Determine i, given that -1/4 + 1/4*i**3 - 3/4*i**2 + t*i = 0.
1
Let d(r) be the first derivative of 1/2*r**4 + 8/9*r**3 + 1/3*r**2 + 3 + 0*r. Factor d(q).
2*q*(q + 1)*(3*q + 1)/3
Suppose -3 - 13 = -4*n, 4*n = -4*y + 16. Determine d so that y*d - 8/7*d**3 + 2/7*d**2 + 0 = 0.
0, 1/4
Let g = 2298 + -620459/270. Let a(d) be the t