y**2*(y + 1)/5
Let o(m) be the second derivative of -m**4/24 + 23*m**3/12 + 25*m**2/2 - 536*m. Solve o(t) = 0 for t.
-2, 25
Let c = -2970 - -8918/3. Factor -1/3*j**3 - 2*j**2 - c - 4*j.
-(j + 2)**3/3
Let l(s) be the second derivative of s**6/126 + s**5/420 - s**4/28 - 5*s**3/6 + 11*s. Let x(g) be the second derivative of l(g). Factor x(o).
2*(2*o - 1)*(5*o + 3)/7
Let g(q) = 8*q - 84. Let m be g(9). Let n be (-29 + 30)/((-9)/m - 0). Determine j so that -4/3 - 1/3*j**2 - n*j = 0.
-2
Let c(k) be the second derivative of k**6/60 - 3*k**5/20 + 7*k**4/24 + k**3/2 - 2*k**2 - 2*k - 41. Let c(q) = 0. What is q?
-1, 1, 2, 4
Let t(v) be the third derivative of 0*v - 1/12*v**5 - 5/3*v**4 + 0 + 5*v**2 - 40/3*v**3. Let t(j) = 0. Calculate j.
-4
Suppose 34 - 22 = 4*a. Let w(n) be the third derivative of 0*n**a + 1/240*n**6 + 1/16*n**4 + 0 - 11*n**2 - 1/30*n**5 + 0*n. Solve w(l) = 0.
0, 1, 3
Suppose -4*j + 13 - 1 = 5*z, 3*j - z = 9. Factor -14*t**2 - 5 - 6*t**3 + 4*t**j + 0*t - 13 - 30*t.
-2*(t + 1)*(t + 3)**2
Let f(y) be the second derivative of -y**7/1050 - y**6/600 + 15*y**2/2 + 3*y. Let u(l) be the first derivative of f(l). Let u(o) = 0. What is o?
-1, 0
Factor 4/5*j**3 + 576*j - 6912/5 - 204/5*j**2.
4*(j - 24)**2*(j - 3)/5
Let l = 1303/2 + -3895/6. Let h be 0 - 4/6 - -2. Find m, given that -h + l*m**2 - 2/3*m**3 - 4/3*m = 0.
-1/2, 2
Factor 4*z - 168*z**4 - 3*z + 166*z**4 + 6*z**3 - 8 + 10*z**2 - 7*z.
-2*(z - 4)*(z - 1)*(z + 1)**2
Factor 37 + 8*n**2 + n**2 + 0*n**2 - 6*n**2 + 119 + 84*n.
3*(n + 2)*(n + 26)
Suppose -3*z = -4*j + z + 24, 5 = -z. Suppose 93*p - 9 = 312 + 237. Suppose -5/2*x - 1/2*x**3 + p*x**2 - j - 2*x**4 = 0. What is x?
-2, -1/4, 1
Let q(k) be the third derivative of -k**6/30 - 2*k**5/3 - 16*k**4/3 - 64*k**3/3 + 26*k**2. Solve q(h) = 0 for h.
-4, -2
Let l(u) be the first derivative of -11/2*u**2 - 2*u - 23 - u**5 - 17/4*u**4 - 7*u**3. Factor l(r).
-(r + 1)**3*(5*r + 2)
Let f(n) be the first derivative of -6*n**4/5 + 2*n**3/5 - 78. Factor f(c).
-6*c**2*(4*c - 1)/5
Let j(i) be the second derivative of -2*i**6/15 + 2*i**5/5 + 4*i**4/3 - 16*i**3/3 + 2*i + 442. Factor j(w).
-4*w*(w - 2)**2*(w + 2)
Let a(f) be the first derivative of -f**4/4 - f**3 + 5*f**2 - 56. Find h such that a(h) = 0.
-5, 0, 2
Determine j so that 0*j**2 + 1/9*j**4 + 0*j + 0 - 23/9*j**3 = 0.
0, 23
Let g be (-16)/20*(-10)/12. Let b = 116 - 114. Factor 8/3*v + g*v**b + 8/3.
2*(v + 2)**2/3
Let z be (-5)/(75/6) + (-368)/(-20). Factor 8*s**4 - 48*s + 75*s - z*s**3 - s**5 + 0*s**5.
-s*(s - 3)**3*(s + 1)
Suppose r + g + 345 = 351, -3*r = -3*g. Factor -48/5*p**r + 0 - 1/5*p + 36/5*p**4 + 13/5*p**2.
p*(p - 1)*(6*p - 1)**2/5
Let m(f) = f**2 + 17*f + 19. Let u be m(-16). Let c(n) = 5*n**2 - u*n - 6*n**2 - n + 0*n**2. Let r(w) = 2*w**2 + 9*w. Let s(q) = -5*c(q) - 2*r(q). Factor s(j).
j*(j + 2)
Let v(j) be the second derivative of -j**6/300 - 13*j**5/200 - 23*j**4/60 - j**3/5 + 18*j**2/5 + 467*j. Factor v(o).
-(o - 1)*(o + 2)*(o + 6)**2/10
Let a be ((-16)/100)/((-66)/660). Factor 132/5*z**2 + a*z**3 + 576/5*z + 256/5.
4*(z + 8)**2*(2*z + 1)/5
Suppose -4*m + 15 = m. Suppose u = m*g, -u = -6*u - 5*g + 20. Factor 42 - 42 + 3*y**u - y**2 - 2*y.
y*(y - 1)*(3*y + 2)
What is k in 0*k**3 + 18/7*k + 0 - 3/7*k**4 + 3*k**2 = 0?
-2, -1, 0, 3
Let m be -9 + ((-9)/5)/(53/(-265)). Factor 6/11*t**4 + 2/11*t**2 + m*t + 2/11*t**5 + 0 + 6/11*t**3.
2*t**2*(t + 1)**3/11
Let n(w) be the first derivative of 5/3*w**2 + 1/3*w**3 + w + 14. Factor n(s).
(s + 3)*(3*s + 1)/3
Let z(w) = w**2 + 31*w + 153. Let i be z(-25). Let q(m) be the first derivative of 6 + 2/13*m + 0*m**2 - 2/39*m**i. Let q(o) = 0. Calculate o.
-1, 1
Let x(i) be the second derivative of 0*i**2 - 1/12*i**4 + 10*i + 1/2*i**3 + 0. Let x(o) = 0. What is o?
0, 3
Let -3 - 1/2*p**2 - 5/2*p = 0. What is p?
-3, -2
Let r(c) be the third derivative of c**8/168 + c**7/35 + c**6/30 - 14*c**2 - 2. Solve r(j) = 0.
-2, -1, 0
Let m(f) = 8*f**2 + 4*f + 9. Let g(a) = -7*a**2 - 4*a - 6. Let k(h) = -7*g(h) - 6*m(h). Find b such that k(b) = 0.
-6, 2
Suppose 2*u + 2*c = -9 + 23, u = -5*c + 19. Suppose -u*i + 10 = 5*v, -7*v = -2*v + 2*i - 20. Factor -v*y**4 + 0*y**3 - 5*y**2 + y**2 - y**3 + 11*y**3.
-2*y**2*(y - 1)*(3*y - 2)
Let s = -6/95 + 5/19. Let w(v) be the first derivative of 2/3*v**3 - 1/6*v**6 - s*v**5 + 1/2*v**4 - v - 2 - 1/2*v**2. What is m in w(m) = 0?
-1, 1
Factor -5*o**3 + 7*o**2 - 81*o**2 - 61*o**2 + 100*o + 76*o - 36*o.
-5*o*(o - 1)*(o + 28)
Let 0 - 5*h - 1/3*h**2 = 0. Calculate h.
-15, 0
Suppose 20 = 3*t - 7*t. Let v be ((-16)/15)/(t/15). Factor -v - 8/5*p**3 - 32/5*p - 24/5*p**2 - 1/5*p**4.
-(p + 2)**4/5
Suppose -s + 3*f - 4*f - 24 = 0, -4*s = -f + 96. Let l be (6/s)/((-35)/60). Factor -3/7*a**2 + 6/7 + l*a.
-3*(a - 2)*(a + 1)/7
Let a(h) be the first derivative of h**4/12 + 34*h**3/9 - 35*h**2/6 - 129. Suppose a(w) = 0. What is w?
-35, 0, 1
Let y be 22/4 - 26/260*5. Determine j, given that -2/5*j**y + 2/5*j**3 + 0 - 2/5*j**2 + 2/5*j**4 + 0*j = 0.
-1, 0, 1
Let y = 14852 + -14849. Let p = -7 + 11. Factor 0 + 6/7*q**y + 3/7*q**2 + 0*q + 3/7*q**p.
3*q**2*(q + 1)**2/7
Suppose -197*j + 917 = 129. Find a, given that -1/2*a**3 + 1/2*a**5 - a**2 + a**j + 0 + 0*a = 0.
-2, -1, 0, 1
Let b(g) be the first derivative of g**5/5 - 7*g**4/3 - 36*g - 42. Let v(q) be the first derivative of b(q). Factor v(r).
4*r**2*(r - 7)
Let s(f) = -14*f + 8. Let x be s(-4). Suppose -2*o + 8 + x = 0. Find p, given that 30*p - 10*p**4 + 27*p - 34*p**2 + 8 - o*p**3 - 57*p = 0.
-2, -1, 2/5
Let g = 2456017/38 + -64626. Let i = -10/19 + g. Factor 7/2*w**4 + i*w**2 - w + 0 - 8*w**3.
w*(w - 1)**2*(7*w - 2)/2
What is u in -u + 3/2*u**2 + 1/4*u**4 + 5/4*u**3 - 2 = 0?
-2, 1
Suppose 195 + 9 = 17*j. Suppose j*d = -d. Factor d*k + 3/2*k**3 - 3*k**2 + 0.
3*k**2*(k - 2)/2
Let u(p) be the second derivative of p**6/75 + 3*p**5/50 + p**4/30 - p**3/5 - 2*p**2/5 - 101*p. Determine r, given that u(r) = 0.
-2, -1, 1
Factor -20/3*y + 35/6 + 5/6*y**2.
5*(y - 7)*(y - 1)/6
Let c(i) = -3*i - 19. Let o be c(-6). Let l be 0*(-2)/6*(2 + o). Suppose -2/15*m**3 + l*m + 0 + 4/15*m**2 = 0. What is m?
0, 2
Suppose -4 - 6 = 2*h, -65 = -4*r + h. Suppose r*n = -20*n + 140. Determine x so that -24/5*x - 8/15 - 64/3*x**3 - 10*x**n - 78/5*x**2 = 0.
-1, -2/5, -1/3
Let h(l) = -l**3 - 6*l**2 + 2*l + 16. Let f be h(-7). Let r be 85/f - (-2)/6. Factor 1/5 - 1/5*m**r + 0*m.
-(m - 1)*(m + 1)/5
Let a(q) = -q**2 - 8*q + 12. Let t be a(-9). Let s = 7 - 5. Factor s*v + 2/3 - 2*v**t - 2/3*v**2.
-2*(v - 1)*(v + 1)*(3*v + 1)/3
Let a be 4/(-6)*(-27)/6. Let r be 0/(5/15 - (-5)/a). Suppose r + 2*t**2 - 1/2*t**3 - 2*t = 0. Calculate t.
0, 2
Let u(y) be the first derivative of y**7/147 + y**6/420 - 5*y**2/2 + 1. Let g(j) be the second derivative of u(j). Let g(w) = 0. What is w?
-1/5, 0
Let w(v) be the second derivative of 1/4*v**4 - 6*v**2 - 3/2*v**3 + 0 - 25*v. Factor w(r).
3*(r - 4)*(r + 1)
Suppose 21/8*p - 9/8 - 15/8*p**2 + 3/8*p**3 = 0. What is p?
1, 3
Let s(y) be the first derivative of -y**7/6720 + y**6/960 + y**5/960 - y**4/64 - 46*y**3/3 + 2. Let z(t) be the third derivative of s(t). Factor z(n).
-(n - 3)*(n - 1)*(n + 1)/8
Let v = -17665 - -17667. Factor -8 - 52/3*t - 20/3*t**v.
-4*(t + 2)*(5*t + 3)/3
Let d be (-1)/(-13) + (-165)/4680. Let a(o) be the second derivative of -d*o**4 - 4*o + 0 + 0*o**2 + 0*o**3. Factor a(h).
-h**2/2
Let k(v) be the second derivative of -v**5/30 - 29*v**4/6 - 2*v - 14. Factor k(r).
-2*r**2*(r + 87)/3
Let n = 64891/5 - 12977. Find d such that -12/5*d**2 - n*d + 4 - 2/5*d**3 = 0.
-5, -2, 1
Let n be 7/20 - (-6)/(-60). Let b(h) be the second derivative of 7*h - n*h**4 - h**3 - 3/2*h**2 + 0. Find a such that b(a) = 0.
-1
Let i be -1*((-104)/(-13))/((-1)/(-22)). Let y = -173 - i. Factor -4/9*h**y + 4/9*h - 2/9*h**4 + 0 + 2/9*h**2.
-2*h*(h - 1)*(h + 1)*(h + 2)/9
Let r(w) be the second derivative of -w**4/12 - 37*w**3/6 + 183*w. Determine z, given that r(z) = 0.
-37, 0
Let a(b) be the third derivative of -b**8/28 - 14*b**7/15 - 59*b**6/30 + 17*b**5/15 + 5*b**4 + 3*b**2 - 35. Suppose a(m) = 0. Calculate m.
-15, -1, 0, 2/3
Let n(a) = a**2 + 3*a - 14. Let g be n(-5). Let p be (2/(-3))/(g/36). Solve f**5 - 3*f**5 - f**5 + p*f**3 - 3*f**4 = 0.
-2, 0, 1
Let r(c) be the first derivative of c**6/360 - 7*c**5/60 + 49*c