 derivative of g**7/126 - g**6/90 - g**5/60 + g**4/36 - g - 1. Let t(w) be the first derivative of q(w). Determine i so that t(i) = 0.
-1, 0, 1
Factor 1/7*p + 0 + 4/7*p**2.
p*(4*p + 1)/7
Let a(g) = 16*g**2 + 21*g + 5. Let x = 23 - 32. Let n(j) be the second derivative of -j**4/3 - 5*j**3/6 - j**2/2 + j. Let r(f) = x*n(f) - 2*a(f). Factor r(q).
(q + 1)*(4*q - 1)
Let 2/3*s**2 + 0 - 4/3*s**3 + 0*s + 2/3*s**4 = 0. Calculate s.
0, 1
Let 4*v**3 - 20*v**4 - 27*v**4 + 6*v**2 + 5*v**3 + 50*v**4 = 0. Calculate v.
-2, -1, 0
Let d be (-27)/18*2/(-12). Let i(j) be the first derivative of -1/2*j**2 + 0*j - 2 - 2/3*j**3 - d*j**4. Factor i(k).
-k*(k + 1)**2
Let o be (6/(-4))/((-2)/4). Suppose i**4 - 3*i**3 + 0*i**2 - i**3 - 2*i + 5*i**2 + 0*i**o = 0. Calculate i.
0, 1, 2
Find f such that 9/2*f - 11/2*f**2 + 1 = 0.
-2/11, 1
Let c(h) be the first derivative of -3*h**6/8 - 3*h**5/4 - 7*h**4/16 - h**3/12 + 7. Factor c(t).
-t**2*(t + 1)*(3*t + 1)**2/4
Suppose 3*s = -0*s + 18. Suppose -s*w**2 + 1 + 0*w + 3*w + 2*w**2 = 0. What is w?
-1/4, 1
Let h be 13/(1 - 0) + -2. Factor -1 + 25*c**3 - 19*c**2 + h*c - 16*c**4 - 4*c + c**5 + 3*c**5.
(c - 1)**3*(2*c - 1)**2
Let c(k) be the third derivative of k**5/180 + 4*k**2. Factor c(u).
u**2/3
Let o(r) be the first derivative of -3*r**3/4 - 3*r**2/4 + 3*r/4 - 29. Factor o(i).
-3*(i + 1)*(3*i - 1)/4
Let m(g) = g**3 - g**2. Let x(q) = -q**4 + 6*q**3 + 11*q**2 + 4*q - 20. Let h(f) = 4*m(f) - x(f). Find u such that h(u) = 0.
-2, 1, 5
Let g be 0/(1/(-3)*3). Factor g*u - 2/3*u**2 + 0.
-2*u**2/3
Let f(i) be the third derivative of -i**9/30240 + i**7/840 - i**6/180 + i**5/20 + 5*i**2. Let c(l) be the third derivative of f(l). Solve c(w) = 0 for w.
-2, 1
Let p(r) be the first derivative of 5*r**6/6 - r**5 - 5*r**4/2 + 8. Factor p(v).
5*v**3*(v - 2)*(v + 1)
Let y(n) be the first derivative of n**5/60 - n**3/6 - n**2/3 - 5*n - 6. Let g(x) be the first derivative of y(x). Factor g(f).
(f - 2)*(f + 1)**2/3
Let l be 14/(-21) - (-19)/24. Let f(t) be the first derivative of -1/4*t**2 + 0*t - 2 - 1/3*t**3 - l*t**4. Factor f(c).
-c*(c + 1)**2/2
Let f(r) be the third derivative of r**8/112 + r**7/70 + r**6/160 + r**2. Let f(j) = 0. What is j?
-1/2, 0
Let p(v) be the first derivative of -1/4*v**4 - 1/9*v**3 + 0*v - 1/5*v**5 - 1/18*v**6 + 2 + 0*v**2. Find g such that p(g) = 0.
-1, 0
Let r(s) = -30*s**4 + 141*s**3 - 90*s**2 - 99*s + 141. Let g(h) = 3*h**4 - 14*h**3 + 9*h**2 + 10*h - 14. Let d(j) = 21*g(j) + 2*r(j). Factor d(z).
3*(z - 2)**2*(z - 1)*(z + 1)
Suppose 6*n + 2 = 14. Factor -4/3 - 1/3*s**4 + s**n + 4/3*s - 2/3*s**3.
-(s - 1)**2*(s + 2)**2/3
Let u(m) be the third derivative of 1/5*m**5 - 1/16*m**6 + 0*m + 0 + m**2 - 1/16*m**4 - 1/2*m**3. Factor u(p).
-3*(p - 1)**2*(5*p + 2)/2
Let d(j) = -4*j**3 - 26*j**2 + 64*j - 34. Let c(i) = i**3 + 5*i**2 - 13*i + 7. Suppose 4 = -g + 1. Let l(m) = g*d(m) - 14*c(m). Factor l(r).
-2*(r - 2)*(r - 1)**2
Let j = 3 - 1. Let t(l) be the third derivative of 0 + 1/21*l**3 - 1/14*l**4 + j*l**2 + 0*l + 3/70*l**5. Solve t(m) = 0 for m.
1/3
Suppose 5*n = -3*c + c + 1, 5*c + 3*n = 31. Factor 8*f**2 - 4*f**2 - 2*f**2 + 8 - c*f.
2*(f - 2)**2
Suppose 27 = 5*x + 4*x. Factor 3/2*s - 1/2 - 3/2*s**2 + 1/2*s**x.
(s - 1)**3/2
Let j(h) be the third derivative of -h**6/120 + h**5/30 + h**4/24 - h**3/3 + 19*h**2. Factor j(i).
-(i - 2)*(i - 1)*(i + 1)
Solve 0 + 2/9*i**2 - 4/9*i = 0.
0, 2
Let k(r) = -r**5 + 11*r**3 + 6*r**2 + 4*r. Let u(v) = 5*v**5 - 45*v**3 - 25*v**2 - 15*v. Let x(z) = 15*k(z) + 4*u(z). Suppose x(m) = 0. Calculate m.
-1, 0, 2
Let u(q) be the third derivative of -q**10/181440 - q**9/45360 - q**8/40320 + q**4/6 + 3*q**2. Let n(a) be the second derivative of u(a). Factor n(d).
-d**3*(d + 1)**2/6
Factor -1 + 5*q**2 + 2 - 10*q - 1.
5*q*(q - 2)
Let h(d) = 3*d + 7. Let j(c) = 4*c + 8. Let x(m) = -3*h(m) + 2*j(m). Let k be x(-7). Factor -5*s + 2*s**4 + 4*s**3 - s**2 + s**2 + s - k.
2*(s - 1)*(s + 1)**3
Factor 61*u**4 - 6*u + 6*u**3 - 9*u**2 - 100*u**4 + 48*u**4.
3*u*(u - 1)*(u + 1)*(3*u + 2)
Let a(j) be the first derivative of j**3/9 + j**2/3 + j/3 - 5. Factor a(m).
(m + 1)**2/3
Let m be (-4)/10 - 86/10. Let p = m + 11. Let 2*a - a**2 + 4*a - p - 4*a + 5 = 0. What is a?
-1, 3
Let q(v) be the first derivative of v**3/6 - 2*v**2 + 7*v/2 - 26. Let q(d) = 0. Calculate d.
1, 7
Let y(k) be the first derivative of -k**8/1680 + k**6/360 - k**3 - 4. Let a(o) be the third derivative of y(o). Determine r, given that a(r) = 0.
-1, 0, 1
Suppose -s - 1 = -3. Let n(o) = 2*o - 4. Let q be n(3). Factor -s*h**3 - 4 - q*h + 4*h**2 + h + 3*h.
-2*(h - 2)*(h - 1)*(h + 1)
Let c(w) be the first derivative of w**9/4536 + w**8/630 + w**7/210 + w**6/135 + w**5/180 + 2*w**3/3 + 2. Let a(v) be the third derivative of c(v). Factor a(o).
2*o*(o + 1)**4/3
Let b(o) be the second derivative of -o**6/30 - o**5/20 + 3*o**4/4 + 3*o**3/2 - 42*o. What is w in b(w) = 0?
-3, -1, 0, 3
Let f be ((-45)/25)/(3/(-15)). Determine r, given that 0*r**4 - f*r**3 + 18*r**2 + 2*r**4 - 14*r - r**3 + 4 = 0.
1, 2
Let n(w) = 15*w**2 + 24*w + 6. Let t(z) = -44*z**2 - 72*z - 19. Let y(f) = -17*n(f) - 6*t(f). Determine c, given that y(c) = 0.
-2, -2/3
Let 1 - 25*l**2 - 55*l - 95*l**2 - 11 - 70*l**4 - 130*l**3 - 15*l**5 = 0. What is l?
-1, -2/3
Suppose -2*n = -2*n - 8*n. Let s(d) be the second derivative of n - 2/3*d**3 + 0*d**4 + d + 1/30*d**6 + 3/20*d**5 + 0*d**2. Factor s(x).
x*(x - 1)*(x + 2)**2
Let l(s) be the first derivative of 5/18*s**4 + 1 + 2/27*s**3 + 0*s**2 + 1/9*s**6 + 0*s + 14/45*s**5. Factor l(y).
2*y**2*(y + 1)**2*(3*y + 1)/9
Let b be (-5)/3*23/((-575)/30). Factor -2/3 - 2/3*w**b + 4/3*w.
-2*(w - 1)**2/3
What is s in -3*s**3 + 8*s**3 + 4*s**2 + 10*s + 11*s**2 = 0?
-2, -1, 0
Let l(p) = p**4 + p**3 + 1. Let c(x) = 6*x**4 + 15*x**3 + 18*x**2 + 12*x + 6. Let s(y) = c(y) - 3*l(y). What is z in s(z) = 0?
-1
Determine a so that 2/3*a - 4/3 + 2/3*a**2 = 0.
-2, 1
Let x(i) = -2*i - 3. Let b be x(-2). Let f be 1 - (-1 + -2 + b). Factor -2*d**2 + 3*d**3 + 2*d**3 - f*d**3.
2*d**2*(d - 1)
Let d(l) be the second derivative of -3/4*l**2 - 4*l + 3/20*l**6 - 1/4*l**4 + l**3 + 0 - 3/10*l**5. Determine x so that d(x) = 0.
-1, 1/3, 1
Factor -2*h**3 - 4*h**4 - 27*h**2 + 31*h**2 + 2*h**4.
-2*h**2*(h - 1)*(h + 2)
Let s = -547 + 21883/40. Let r = s + 71/120. Determine t so that 4/3*t**3 - r + 0*t**2 - 4/3*t + 2/3*t**4 = 0.
-1, 1
Let w(x) = 4*x + 2. Let f(g) = -g**2 + 21*g + 11. Let r(y) = -4*f(y) + 22*w(y). Factor r(s).
4*s*(s + 1)
Let x = 6 + 0. Let o(c) be the second derivative of 2/147*c**7 + 0*c**3 + 0 + 0*c**4 + 0*c**2 + 1/70*c**5 - c + 1/35*c**x. Let o(f) = 0. What is f?
-1, -1/2, 0
Let f(g) be the second derivative of -25*g**4/12 + 5*g**3 - 9*g**2/2 + 8*g. What is l in f(l) = 0?
3/5
Let h(d) be the second derivative of 3*d**5/80 + d**4/8 + d**3/8 - 10*d. Suppose h(c) = 0. Calculate c.
-1, 0
Factor -20/7 + 4/7*q + 20/7*q**2 - 4/7*q**3.
-4*(q - 5)*(q - 1)*(q + 1)/7
Let q be ((-3)/1)/(12/243). Let d = q - -61. Find l, given that -d*l**3 + 0 - 1/4*l + 1/2*l**2 = 0.
0, 1
Let l(n) be the second derivative of 0*n**3 + n**2 + 2*n + 0 + 1/48*n**4 - 1/120*n**5. Let r(d) be the first derivative of l(d). Factor r(g).
-g*(g - 1)/2
Let r be -1 + 55*1/45. Factor -2/9*t - 2/9*t**2 + 2/9 + r*t**3.
2*(t - 1)**2*(t + 1)/9
Let t be (-3)/2*2/(-12)*12. Factor t*p**2 - 9/5*p**3 - 3/5 - 3/5*p.
-3*(p - 1)**2*(3*p + 1)/5
Let q(k) be the third derivative of -k**8/5600 - k**7/1260 - k**6/900 - k**4/24 - k**2. Let x(p) be the second derivative of q(p). Find y, given that x(y) = 0.
-1, -2/3, 0
Let f be 1 - ((-35)/(-21))/(-1). Factor -f*s + 4/3 + 4/3*s**2.
4*(s - 1)**2/3
Let l(o) = o**4 + 4*o**3 - o**2 + 2*o. Let b(w) = -w**3 - w. Let c(n) = 12*b(n) + 4*l(n). Factor c(u).
4*u*(u - 1)*(u + 1)**2
Let k(j) = j**2 + 8*j + 2. Let n be k(-8). Suppose n*q = 6 - 0. Determine s, given that s**2 - s**4 + 2*s**2 - 4*s**2 - 2*s**q = 0.
-1, 0
Factor -1/5*x**5 + 0*x**2 - 1/5*x**3 + 0*x + 2/5*x**4 + 0.
-x**3*(x - 1)**2/5
Let i be 3*((-12)/(-45) + 0). Factor 4/5*g + 0 + i*g**2 + 1/5*g**3.
g*(g + 2)**2/5
Let m = 624 + -622. Factor 2/3*l + 0*l**3 - 4/3*l**m + 4/3*l**4 - 2/3*l**5 + 0.
-2*l*(l - 1)**3*(l + 1)/3
Let h(r) be the second derivative of -r**4/4 + r**3 + 8*r. Factor h(a).
-3*a*(a - 2)
Let b be -9*2/12*-2. Suppose 0 =