(p) be the first derivative of -p**4/14 + 2*p**3/21 + p**2/7 - 2*p/7 + 2. Factor w(k).
-2*(k - 1)**2*(k + 1)/7
Let b(h) be the first derivative of h**6/3 - 4*h**5/5 + 4*h**3/3 - h**2 + 23. Solve b(l) = 0.
-1, 0, 1
Factor 1/4*b**2 + 3/4*b**3 - 1/2*b + 0.
b*(b + 1)*(3*b - 2)/4
Let n = -2/83 - -143/2490. Let k(b) be the second derivative of 0*b**2 + 0*b**3 + n*b**6 + 0 - 1/60*b**5 + 4*b - 1/18*b**4. What is i in k(i) = 0?
-2/3, 0, 1
Let t(p) be the third derivative of -p**5/60 - p**4/6 + 5*p**3/6 - 35*p**2. Factor t(g).
-(g - 1)*(g + 5)
Suppose 0 = -3*y + 1 - 1. Suppose -5*q = -b - 3, 2*b = -4 - 2. Factor q*a - 1/3*a**4 + y*a**3 - 1/3 + 2/3*a**2.
-(a - 1)**2*(a + 1)**2/3
What is u in -3/2*u**2 + 0 + 3/2*u**4 + 1/2*u**5 - u + 1/2*u**3 = 0?
-2, -1, 0, 1
Let y(x) = -5*x**3 + 7*x**2 + 5*x - 3. Let h(m) = 60*m**3 - 85*m**2 - 60*m + 35. Let l(u) = 2*h(u) + 25*y(u). What is o in l(o) = 0?
-1, 1
What is n in -15/4 - 35/4*n**4 + 45/2*n**3 + 5/4*n**5 + 65/4*n - 55/2*n**2 = 0?
1, 3
Let n(c) = -c**2 + 4*c - 2. Let y be n(3). Suppose -2*b = -2*f + 2, -y = 4*b + 3*f - 4. Factor -j + 2*j + 2 + b*j - j**2.
-(j - 2)*(j + 1)
Let f be ((6/(-3))/(-2))/2. Factor -f*o**2 + 1/2 + 0*o.
-(o - 1)*(o + 1)/2
Factor 1/11*g**2 + 0 - 2/11*g + 1/11*g**3.
g*(g - 1)*(g + 2)/11
Suppose -5*d + 12 = -2*d. Suppose d*l = l. Factor 1/4*x**4 + 1/4*x**5 - 1/4*x**3 + 0*x - 1/4*x**2 + l.
x**2*(x - 1)*(x + 1)**2/4
Let h(k) be the third derivative of -k**6/600 + k**5/300 - 2*k**2. Find p such that h(p) = 0.
0, 1
Let z(w) = w**4 - w**3 + w**2 - w. Let r(o) = -8*o**4 + 24*o**3 - 28*o**2 - 12*o + 32. Let j(a) = -r(a) - 4*z(a). Factor j(m).
4*(m - 2)**3*(m + 1)
Suppose -15*d + 94*d**2 - 84*d**2 + 1 + 20*d**3 - 5*d**5 - 11 = 0. What is d?
-1, 1, 2
Let t(w) be the second derivative of w**7/231 - 2*w**6/165 + w**5/110 - 17*w. Suppose t(n) = 0. What is n?
0, 1
Let g(u) = -2*u - 8. Let h be g(-5). Determine q, given that -1/3*q + 1/3*q**4 + 0 - 1/3*q**h + 1/3*q**3 = 0.
-1, 0, 1
Let y(n) be the second derivative of -n**5/20 + 7*n**4/12 - 5*n**3/2 + 9*n**2/2 - n. What is b in y(b) = 0?
1, 3
Let n(u) be the third derivative of -u**8/1344 + u**7/840 + u**6/160 - u**5/240 - u**4/48 + 10*u**2 - u. Let n(m) = 0. Calculate m.
-1, 0, 1, 2
Suppose -4*h = -5*l - 19, l - 3 = 3*h - 9. Let x be 0 + 3 - (h + 0). Factor -2*b**2 + b**2 + x*b**2 - 4*b + b**2.
2*b*(b - 2)
Let r be (-1)/(-3) - (6 - (-730)/(-105)). Find u, given that 3/7*u**3 + 6/7*u + 0 - r*u**2 = 0.
0, 1, 2
Let w(c) = c**2 - 11*c - 11. Let v(q) = -q**2 + 21*q + 21. Let i(u) = 3*v(u) + 5*w(u). Factor i(o).
2*(o + 2)**2
Let c = 10 - 6. Suppose 24 = c*i - 0. Factor i*n**2 - 2*n**2 + 4*n**3 - 5*n**3 - 4*n.
-n*(n - 2)**2
Let v = -30 - -33. What is a in 2/7*a**v - 4/7*a + 2/7*a**2 + 0 = 0?
-2, 0, 1
Let c**2 - 12 + c**3 + 10*c**2 - 4*c**3 - 2*c**2 = 0. What is c?
-1, 2
Factor -15*d**3 + 13*d**3 - 3*d**2 - 9*d**2 - 18*d.
-2*d*(d + 3)**2
Find q such that -3*q**2 - q**3 - 2*q**4 + q**5 + 4*q**4 + q**2 = 0.
-2, -1, 0, 1
Let i be (-5 - 1)/((-12)/8). Suppose i*o - o - 9 = 0. Find b, given that 2/9 - 2/9*b**2 + 2/9*b**o - 2/9*b = 0.
-1, 1
Let k = -46 + 11041/240. Let s(b) be the third derivative of 2*b**2 + 0*b - 1/24*b**4 - k*b**5 + 0 - 1/6*b**3. Find o such that s(o) = 0.
-2
Let q = 5 - 9. Let a be 0 + q*(-7)/18. Factor 22/9*r**2 + 4/9*r + 0 + 32/9*r**3 + a*r**4.
2*r*(r + 1)**2*(7*r + 2)/9
Let c be (9 - 6/(-6)) + -7. Find z such that -1/2*z**c + 1/2*z + 1/2 - 1/2*z**2 = 0.
-1, 1
Suppose 0 = -0*a + 4*a - 8. Solve 2*b + b + b**3 - a*b**3 + 2 = 0.
-1, 2
Let d = 7 - 5. Factor -2 + 8*n - d*n + 9*n**2 + 0 - n**2.
2*(n + 1)*(4*n - 1)
Let o(b) = b**2 + 12*b + 36. Let a be o(-6). Solve a*k + 0 + k**5 + 0*k**2 - 2/5*k**3 + 3/5*k**4 = 0.
-1, 0, 2/5
Let b(q) = q**2 + 13*q + 14. Let v(a) = 3*a**2 + 51*a + 57. Let w(j) = -9*b(j) + 2*v(j). Factor w(t).
-3*(t + 1)*(t + 4)
Let c(z) = 2*z**4 - 2. Let w(v) = -v**2 + 1. Let m be 2/(-9) - 43/9. Let r be 7/5 + 2/m. Let p(s) = r*c(s) + 4*w(s). Factor p(o).
2*(o - 1)**2*(o + 1)**2
Let n be (-9 + 1 - -2) + 0. Let a(z) = -23*z**2 - 5*z - 6. Let h(l) = -4*l**2 - l - 1. Let v(i) = n*a(i) + 34*h(i). Factor v(f).
2*(f - 1)**2
Let f(i) be the first derivative of 7*i**6/360 + i**5/60 - 3*i**3 - 4. Let m(q) be the third derivative of f(q). Factor m(n).
n*(7*n + 2)
Let n = -20 + 28. Let o = 13 - n. Determine i, given that -3*i**5 + o*i**5 - i**5 = 0.
0
Let w = 56 + -35. Suppose 48*s - 12*s - 9*s**4 - w*s**3 + 18*s**2 - 5*s**4 + 5*s**4 - 24 = 0. Calculate s.
-2, 2/3, 1
Determine j, given that 5/7*j**2 - 2/7 + 3/7*j = 0.
-1, 2/5
Suppose 0 = -8*m + 10 + 6. Let h(y) be the third derivative of 2/27*y**3 + 0*y + 1/270*y**5 + 2*y**m + 0 + 1/36*y**4. What is k in h(k) = 0?
-2, -1
Let h(u) be the first derivative of -16*u**6/3 + 144*u**5/5 - 113*u**4/2 + 152*u**3/3 - 21*u**2 + 4*u - 56. Solve h(p) = 0 for p.
1/4, 1, 2
Let m(d) = -d + 3. Let k be m(0). Suppose 4*j - 31 = -2*z - 13, -k*z = j - 17. Factor -7/6*p + 7/6*p**3 + 1/3*p**j - 1/3.
(p - 1)*(p + 1)*(7*p + 2)/6
Let c be (-10)/(-60) + (-3)/(-6). Let g = 61/57 + 5/19. Let -g + c*r + 2/3*r**2 = 0. What is r?
-2, 1
Suppose 0 = 3*b + 12. Let m(q) = -2 + 0*q**3 - 2*q**3 - 4*q + 6 + 4*q**2. Let j(s) = -s**2 + s + 1. Let t(k) = b*j(k) + m(k). Factor t(w).
-2*w*(w - 2)**2
Factor 0*u + 9/5*u**2 + 1/5*u**4 + 0 + 6/5*u**3.
u**2*(u + 3)**2/5
Let m(l) be the third derivative of -l**5/330 - l**4/44 - 2*l**3/33 + l**2. Factor m(u).
-2*(u + 1)*(u + 2)/11
Let g be (-18)/(-30) - (-2)/5. Factor -g + 2 - 3*t + t + t**2.
(t - 1)**2
Determine r so that -10*r + 5*r - 16 - r + 4*r**2 - 6*r = 0.
-1, 4
Let c(p) be the second derivative of -p**6/90 - 2*p**5/15 + 7*p**3/6 - 8*p. Let g(f) be the second derivative of c(f). What is a in g(a) = 0?
-4, 0
Let m be (-2)/(8/(-7)) - 6/4. Factor -1/4*n**2 + 0 - m*n.
-n*(n + 1)/4
Let q(g) be the second derivative of g**6/135 - g**5/45 - g**4/18 + 4*g**3/27 + 4*g**2/9 + 35*g. Determine l, given that q(l) = 0.
-1, 2
Suppose 42 = 7*p - p. Determine h so that 5*h**3 - 10*h**3 + p*h**3 = 0.
0
Let q(s) be the first derivative of 0*s**3 + 0*s + 0*s**4 + 2/5*s**5 + 0*s**2 + 3. Find h, given that q(h) = 0.
0
Suppose 3*x - g = -1, -7*g + 2*g + 19 = -x. Let k be (12/126)/(x/3). Factor -2/7*d - k*d**3 - 4/7*d**2 + 0.
-2*d*(d + 1)**2/7
Let s(p) be the first derivative of p**6/12 + p**5/5 - p**3/3 - p**2/4 + 2. Factor s(w).
w*(w - 1)*(w + 1)**3/2
Let y(s) = -9*s**2 - 8*s - 9. Let c = 13 + -16. Let v(g) = 5*g**2 + 4*g + 5. Let k(o) = c*y(o) - 5*v(o). Solve k(t) = 0.
-1
Let r = -292 + 295. Suppose -2/9*d**r + 0 - 2/9*d**5 + 4/9*d**4 + 0*d**2 + 0*d = 0. Calculate d.
0, 1
Suppose -3/7*r - 3/7*r**2 + 6/7 = 0. Calculate r.
-2, 1
Let i = 6 - 4. Let r be 10 - (1 - (-7)/1). Suppose -7/4*p**4 - 33/4*p**3 + i - 23/2*p**r - 3*p = 0. Calculate p.
-2, -1, 2/7
Let k(w) = -w**2 - 7*w + 5. Let t be k(-7). Let m(d) = d + 5. Let u be m(t). Factor -2*b**2 + u - 10 + 4*b.
-2*b*(b - 2)
Let k be 4 - 1 - -1 - 2. What is d in 6*d**k + 5*d**2 - 9*d**2 + d**2 + 3 + 6*d = 0?
-1
Let o = -60 - -87. Let g = o + -79/3. Suppose -g*v**2 + 0 - 2/3*v = 0. What is v?
-1, 0
Let l(h) = h**2. Let q(w) be the third derivative of w**5/30 - w**2. Let i(g) = 3*l(g) - q(g). Suppose i(y) = 0. Calculate y.
0
Let g(a) be the first derivative of -4/7*a**2 + 2/7*a + 2/35*a**5 + 4/7*a**3 + 3 - 2/7*a**4. Let g(b) = 0. Calculate b.
1
Let c(q) be the second derivative of q**6/15 - q**4/2 - 2*q**3/3 + 8*q. Factor c(g).
2*g*(g - 2)*(g + 1)**2
Let j(l) be the third derivative of -l**6/2520 + l**5/210 - l**4/42 - l**3/6 - 2*l**2. Let m(z) be the first derivative of j(z). Factor m(o).
-(o - 2)**2/7
Let j(f) = f**2 - 4*f - 2. Suppose 0 = -2*p + 3*p - 5. Let y(i) = -i**2 + 4*i + 1. Let c(q) = p*y(q) + 4*j(q). Factor c(x).
-(x - 3)*(x - 1)
Suppose 10 = 3*g + 2*g. Factor 2*y**g - 4*y**2 + 5*y**2 - 3*y**4 + 0*y**2.
-3*y**2*(y - 1)*(y + 1)
Factor -2/5*m**3 + 2/5*m**2 - 2/5*m**4 + 2/5*m + 0.
-2*m*(m - 1)*(m + 1)**2/5
Suppose 0 = -16*c + 12*c + 8. Let v(d) be the first derivative of d**3 + 2*d + c + 7/2*d**2. Factor v(o).
(o + 2)*(3*o + 1)
Suppose -3*u - 37 = -7. Let n be u/11*(-10)/50. Find m such that 0*m - n + 2/11*m**2 = 0.
-1, 1
Let d(y) be the second derivative of 2/5*y**2 - 2*y + 0 - 1/30*y**4 - 1/15*y**3. Factor d(f).
-2*(f - 1)*(f + 2)/5
Let b(o) be the fir