 of -g**4/2 - 9. Factor k(p).
-2*p**3
Let y be ((-24)/36)/((-16)/6). Factor -y*v + 1/4*v**2 + 0.
v*(v - 1)/4
Suppose -4*z + 9 = -7. Suppose 0*j**z - 6/5*j - 4/5*j**2 + 8/5*j**3 + 4/5 - 2/5*j**5 = 0. What is j?
-2, -1, 1
Suppose -4*n = -9 - 3. Suppose -l - 4*z + z - 13 = 0, -n = l + z. Factor 2*h**3 + h + h**3 + 5*h**2 - l*h**2 + h**4.
h*(h + 1)**3
Suppose -2*p = p. Let l be (-2 - p)*(-2 - 0). Suppose 4 - l - a**3 = 0. Calculate a.
0
Factor -2/11*h**2 - 12/11 + 10/11*h.
-2*(h - 3)*(h - 2)/11
Let r be 2 + 2 + 0/1. Suppose -s - s = 2*t, -r*t + 4*s = -24. Factor t*k**2 + 0*k + 2 - 2*k - 3*k.
(k - 1)*(3*k - 2)
Let f be 13/((-65)/(-10))*(-6)/(-16). What is g in f*g + 3/8 + 3/8*g**2 = 0?
-1
Determine u so that -9*u**3 - 8*u**2 - 11*u**5 + u**2 + 2*u**5 + 6*u + 21*u**4 - 2*u**2 = 0.
-2/3, 0, 1
Let o(i) be the first derivative of -2*i**3 + 10*i**2 + 16*i + 14. Factor o(c).
-2*(c - 4)*(3*c + 2)
Let k = 896 + -893. Factor -6/5 - 9/5*q + 6/5*q**2 + 9/5*q**k.
3*(q - 1)*(q + 1)*(3*q + 2)/5
Let h(r) be the second derivative of -r**7/8820 + r**6/1260 - r**5/420 - r**4/2 - 5*r. Let g(w) be the third derivative of h(w). Find l, given that g(l) = 0.
1
Let m = -122 - -1465/12. Let x(d) be the first derivative of 1/4*d + 0*d**2 - m*d**3 + 3. Suppose x(w) = 0. Calculate w.
-1, 1
Factor -1/3*s**2 + 2/3*s - 1/3.
-(s - 1)**2/3
Let f(d) be the third derivative of d**5/20 + 8*d**2. Factor f(k).
3*k**2
Suppose -5*m + 9*m = 12. Factor 4*v - 3 + m - 2*v**2 - 2 + 0*v**2.
-2*(v - 1)**2
Let p = 2759/9048 - 5/377. Let s(c) be the second derivative of 3/80*c**5 + 0 - 1/4*c**2 - 1/6*c**4 + p*c**3 - 2*c. Factor s(j).
(j - 1)**2*(3*j - 2)/4
Let m(k) = -2*k**2 - 18*k + 23. Let q be m(-10). Factor 0*z + 1/4*z**4 + 0 + 1/2*z**q + 1/4*z**2.
z**2*(z + 1)**2/4
Suppose -5 = w - 4*k, -11*w = -6*w + 5*k - 25. Factor 0 + 0*i**2 - 1/6*i**4 + 0*i**w + 0*i.
-i**4/6
Let f be (-3)/(-33)*(-2 + 0). Let m = 8/77 - f. Determine n so that m*n**4 - 2/7*n - 2/7*n**2 + 0 + 2/7*n**3 = 0.
-1, 0, 1
Let l = -215/2 + 109. Factor 1/2*z - l*z**5 + 4*z**4 + 0*z**2 + 0 - 3*z**3.
-z*(z - 1)**3*(3*z + 1)/2
Let p(a) be the second derivative of -2*a**7/21 - 4*a**6/15 + 2*a**4/3 + 2*a**3/3 + 10*a. Factor p(m).
-4*m*(m - 1)*(m + 1)**3
Let v = 9 + -8. Suppose 0 = -2*t + 3 + v. Determine h, given that -2/7*h**5 + 4/7*h**3 + 4/7*h**t - 2/7*h**4 - 2/7 - 2/7*h = 0.
-1, 1
Factor -28/3*p + 4 - 5/3*p**2.
-(p + 6)*(5*p - 2)/3
Let g(b) = 8*b - 4. Let u be g(-3). Let i be 2/u*(0 + -4). Suppose 6/7*a**5 + 8/7*a**2 - 8/7*a**4 - i*a + 0 - 4/7*a**3 = 0. What is a?
-1, 0, 1/3, 1
Let j = 15/34 + 167/238. Determine m so that j*m + 8/7*m**2 + 2/7 = 0.
-1/2
Let a(n) = 4*n**4 + 5*n**3 - 3*n**2 + 3. Let h(v) = 9*v**4 + 11*v**3 - 7*v**2 + 7. Let g = -7 - -10. Let k(p) = g*h(p) - 7*a(p). Factor k(m).
-m**3*(m + 2)
Let d(z) = -2*z**3 - 9*z**2 + z - 5. Let h(v) = v**3 + 4*v**2 - v + 2. Let o(y) = -6*d(y) - 15*h(y). Factor o(a).
-3*a*(a - 1)*(a + 3)
Factor 32/15*w**3 - 14/15*w**4 - 22/15*w**2 + 0 + 4/15*w.
-2*w*(w - 1)**2*(7*w - 2)/15
Let g(a) be the first derivative of 2/7*a**3 - 3/7*a**2 + 1 + 2/7*a - 1/14*a**4. Factor g(n).
-2*(n - 1)**3/7
Let p(q) be the second derivative of -q**7/70 + 7*q**6/50 - 27*q**5/50 + 11*q**4/10 - 13*q**3/10 + 9*q**2/10 - 19*q. Determine x so that p(x) = 0.
1, 3
Suppose 3*k - 2*p - 13 = 13, 0 = -k + 3*p - 3. Let i = -12 + k. Factor 14/3*m**5 + i - 6*m**4 + 0*m**2 + 0*m + 4/3*m**3.
2*m**3*(m - 1)*(7*m - 2)/3
Factor -32/7 + 8/7*s**2 + 4/7*s**5 + 44/7*s**3 + 24/7*s**4 - 48/7*s.
4*(s - 1)*(s + 1)*(s + 2)**3/7
Factor -179*g**2 + 271*g**2 - 184*g + 966*g**2 + 8.
2*(23*g - 2)**2
Let f(p) be the first derivative of -2*p**6/3 + 28*p**5/5 - 16*p**4 + 16*p**3 + 26. Suppose f(t) = 0. Calculate t.
0, 2, 3
Let j(s) be the second derivative of 1/90*s**4 + 0*s**2 - 6*s + 0 + 1/45*s**3. Find n, given that j(n) = 0.
-1, 0
Let m = 3 - 0. Let b = 0 + m. Let 0 + 2/7*y + 2/7*y**b + 4/7*y**2 = 0. Calculate y.
-1, 0
Let t(q) be the third derivative of -q**7/560 + q**6/80 - q**5/32 + q**4/32 - q**2. Find w such that t(w) = 0.
0, 1, 2
Let p be ((-8)/12)/(0 + 3/(-9)). Suppose -4/7 - 2/7*z**3 - 8/7*z**p - 10/7*z = 0. Calculate z.
-2, -1
Determine s, given that 8*s**4 - 16*s + 22 - 14 + 40*s - 34*s**2 - 6*s**3 = 0.
-2, -1/4, 1, 2
Solve 8/5*c**4 + 1/5*c**2 + 0*c - 16/5*c**5 + 0 + 7/5*c**3 = 0 for c.
-1/4, 0, 1
Let o(v) be the first derivative of 144*v**5/5 - 48*v**4 + 52*v**3/3 - 2*v**2 - 5. Factor o(y).
4*y*(y - 1)*(6*y - 1)**2
Let o(i) be the second derivative of -i**7/105 - i**6/75 - 2*i. Factor o(a).
-2*a**4*(a + 1)/5
Let q be 2/(-6) - (-40)/12. Let n(k) be the first derivative of -1/12*k**4 - 1/3*k**q + 0*k**2 + 4/3*k + 3. Suppose n(s) = 0. Calculate s.
-2, 1
Let j(m) = -m**2 - 4*m + 5. Let k be j(-4). Suppose k*l = -3*f - 3, -2*f + 1 - 3 = 5*l. Let 2/9*z**2 + l - 2/9*z = 0. Calculate z.
0, 1
Let f = 563/20 - 111/4. Let 0 + 6/5*a**3 - 4/5*a**2 - f*a = 0. Calculate a.
-1/3, 0, 1
Let l be 150/(-9) + (-2)/(-3). Let y = -63/4 - l. Solve 0 + y*u - 1/4*u**3 + 0*u**2 = 0.
-1, 0, 1
Let i(w) be the third derivative of -6*w**7/175 - 2*w**6/5 - 118*w**5/75 - 2*w**4 - 6*w**3/5 + 3*w**2. Factor i(d).
-4*(d + 3)**2*(3*d + 1)**2/5
Let n(o) be the second derivative of o**6/30 - o**5/5 + o**4/2 - 2*o**3/3 + o**2/2 + 9*o. Factor n(k).
(k - 1)**4
Let t be ((-57)/(-76))/(-3 + 45/8). Let d(c) = -c - 5. Let r be d(-5). Factor -t*l**2 + r - 2/7*l.
-2*l*(l + 1)/7
Find y such that 3/4*y + 9/4*y**2 + 3/4*y**4 + 0 + 9/4*y**3 = 0.
-1, 0
Factor 11/3*w**4 + 0 - 3*w**3 + 1/3*w**2 + 1/3*w - 4/3*w**5.
-w*(w - 1)**3*(4*w + 1)/3
Find u such that 12*u + 19*u**4 - 18*u**4 + 4*u**3 + 13*u**2 + 2*u**3 + 4 = 0.
-2, -1
Let b be 36/(-2)*174/(-783). Factor 0 - 2*m**2 - 3/2*m**b + 0*m - 1/4*m**5 - 3*m**3.
-m**2*(m + 2)**3/4
Let z = 180 - 1258/7. Let m = -607/7 - -87. Determine f, given that 4/7*f**2 + z*f + m*f**3 + 0 = 0.
-1, 0
Factor -4/3 - r**2 - 8/3*r.
-(r + 2)*(3*r + 2)/3
Let g be (-12)/(-4 - 0) + -3. Find t such that -1/6*t**2 + 1/6*t**3 + 1/6*t**4 - 1/6*t**5 + 0*t + g = 0.
-1, 0, 1
Let o be 10/(-225)*(0 - 15/3). Factor 4/9 + 2/3*p + o*p**2.
2*(p + 1)*(p + 2)/9
Solve 2/5*m**5 - 4/5*m**2 + 2/5*m**4 + 2/5*m + 2/5 - 4/5*m**3 = 0.
-1, 1
Suppose -6*l = -7*l. Factor -8*b**4 + 4/3*b**2 + 0 + l*b - 2*b**3 - 14/3*b**5.
-2*b**2*(b + 1)**2*(7*b - 2)/3
Solve 4*p**4 - 46*p**3 - 3*p**2 + 11*p**2 + 34*p**3 = 0 for p.
0, 1, 2
Let u(p) be the third derivative of -5*p**8/336 + p**7/21 + p**6/6 - 2*p**5/3 - 58*p**2. Solve u(m) = 0 for m.
-2, 0, 2
Suppose 0 = -4*s + 5*s - 4. Let v(z) be the first derivative of 4*z - 2 + 5/3*z**6 - z**2 + 16/5*z**5 - 20/3*z**3 - 2*z**s. Factor v(u).
2*(u - 1)*(u + 1)**3*(5*u - 2)
Let q(a) = -a**3 - 4*a**2 - 3*a - 4. Let l(k) = k**3 + 3*k**2 + 2*k + 3. Let g(s) = 4*l(s) + 3*q(s). Factor g(f).
f*(f - 1)*(f + 1)
Let g(r) be the first derivative of 2*r**5/15 - r**4/3 - 8*r**3/3 + 6*r**2 + 18*r - 19. Solve g(x) = 0 for x.
-3, -1, 3
Let v(m) be the third derivative of -m**8/1512 - m**7/315 - m**6/270 - 38*m**2. Find k, given that v(k) = 0.
-2, -1, 0
Let a(d) be the third derivative of d**5/30 - d**4/12 + 24*d**2. Factor a(s).
2*s*(s - 1)
Let y be (-1)/4 - 132/(-144). Suppose -2/3*s**5 - 2/3*s**4 + 0*s + y*s**3 + 0 + 2/3*s**2 = 0. Calculate s.
-1, 0, 1
Suppose 0 = w + 5*i + 17, -i - 19 = w - 6*w. Let n = -2/59 - -181/118. Find a, given that 0*a + 3*a**2 - n - 3/2*a**4 + 0*a**w = 0.
-1, 1
Let t be ((-1)/5)/((-4)/5). Let z = -7 - -29/4. Determine w, given that z*w**2 + 1/2*w + t = 0.
-1
Let p be ((1 - -5)*-1)/(-2). Let q(a) be the second derivative of 1/6*a**4 + 1/3*a**p - 2*a**2 - a + 0. Factor q(n).
2*(n - 1)*(n + 2)
Let j(c) be the second derivative of -c**6/25 - 3*c**5/20 - c**4/5 - c**3/10 + 6*c. Solve j(d) = 0 for d.
-1, -1/2, 0
Let n be (4 - (2 + 2))/1. Let w be 2/((-3)/((-9)/10)). Suppose n + 2/5*s + w*s**2 = 0. Calculate s.
-2/3, 0
Suppose 0 = -5*h + 2*k + 12, -14*h - 2*k = -15*h + 4. Factor 2/7 + 0*y - 2/7*y**h.
-2*(y - 1)*(y + 1)/7
Let f = 65/186 - 1/62. Let o(m) be the second derivative of 3*m + 1/10*m**5 + f*m**3 + 0 + 1/4*m**2 + 1/4*m**4 + 1/60*m**6. Find n, given that o(n) = 0.
-1
Let m be (-28)/196*(-2 - (-1 + 1)). Solve -2/7*c**3 + 10/7*c**2 + m*c - 6/7*c**4 - 4/7 = 0 for c.
-1, 2/3, 1
Let y be 388/20 + 4/(-10). Suppose -y = -2*d - 4*g - 3, -5*g + 9 =