- 9*k**2/2 - 12*k - 148. Factor g(z).
3*(z - 4)*(z + 1)
Suppose -s + 7 = 7. Let b be (22/(-18) + 1)*(-3 + s). Factor -10/3*j - b*j**2 - 2 + 2/3*j**3.
2*(j - 3)*(j + 1)**2/3
Let p(c) be the second derivative of c**7/42 - 13*c**6/150 + c**5/25 + c**4/15 + 26*c. Solve p(m) = 0.
-2/5, 0, 1, 2
Suppose -54*x**2 - 57*x**2 + 1 - x + 2*x**3 + 109*x**2 - x**5 + x**4 = 0. Calculate x.
-1, 1
Let a(q) be the second derivative of -q**8/2520 - q**7/420 - q**6/270 - 3*q**3/2 - 21*q. Let v(p) be the second derivative of a(p). Factor v(y).
-2*y**2*(y + 1)*(y + 2)/3
Let y(q) = -q**3 + 5*q**2 - q + 14. Let a(u) = -2*u**2 - 4. Let f(h) = -7*a(h) - 2*y(h). Factor f(m).
2*m*(m + 1)**2
Suppose -8/3*i**2 - 16/3*i + 16/3 + 8/3*i**3 + 1/3*i**4 - 1/3*i**5 = 0. What is i?
-2, 1, 2
Let b be -1 + 2 - (-11)/(-11). Suppose 0 = -4*u + h + 18, -2*u - 5*h = -2*h - 16. Factor 0*g + 1/6*g**4 - 1/6*g**2 - 1/6*g**u + b + 1/6*g**3.
-g**2*(g - 1)**2*(g + 1)/6
Determine v so that -3 + 0*v + 3/4*v**2 = 0.
-2, 2
Factor -8*p**2 - 22/9*p**3 - 2/9*p**4 + 128/9 - 32/9*p.
-2*(p - 1)*(p + 4)**3/9
Let t = -8 - -11. Let x(o) = 3*o - 2. Let k be x(t). Factor -2*u**3 - u**3 + 2*u**2 - u**4 + 3*u**4 + k*u**3.
2*u**2*(u + 1)**2
Let v(q) be the third derivative of 1/8*q**6 + 41*q**2 - 1/30*q**7 + 0 + 1/24*q**4 + 0*q**3 + 0*q - 3/20*q**5. Factor v(m).
-m*(m - 1)**2*(7*m - 1)
Let b(t) be the second derivative of -t**5/150 + 2*t**4/5 + t**3/45 - 12*t**2/5 + 308*t + 1. Factor b(h).
-2*(h - 36)*(h - 1)*(h + 1)/15
Let y = 67 + -62. Suppose -3 = y*q - 13. Factor -2/3 - n - 1/3*n**q.
-(n + 1)*(n + 2)/3
Let q(z) = -4*z - 88. Let m be q(-22). What is s in 1/2*s**2 - 1/2*s**4 + 1/4*s**3 - 1/4*s**5 + 0 + m*s = 0?
-2, -1, 0, 1
Let f(t) be the second derivative of -t**5/110 - 4*t**4/33 - 4*t**3/11 + 7*t + 1. Factor f(p).
-2*p*(p + 2)*(p + 6)/11
Suppose 0 = 3*n - 2*z - 11, n = -2*n + z + 7. Suppose 0 = r - m + n - 5, 0 = 2*r - 4*m - 12. Determine x so that 1/4*x**r + 0 + 1/4*x = 0.
-1, 0
Let w(r) be the third derivative of -7*r**5/30 - 289*r**4/12 - 82*r**3/3 - 12*r**2 - 19. Factor w(p).
-2*(p + 41)*(7*p + 2)
Let w(m) be the second derivative of -2/3*m**3 + 3*m**2 + 1/18*m**4 + 0 + 4*m. Solve w(z) = 0.
3
Let y be 5/(-20)*64/(-10). Let h be 120/150*4/2. Factor -4/5*k**2 + y*k**4 - 2*k + 2/5*k**5 + h*k**3 - 4/5.
2*(k - 1)*(k + 1)**3*(k + 2)/5
Let x be ((-2)/(-6))/((-1)/(-3)). Let l be x/5 + (-5)/25. Suppose 7/2*s**5 + 0*s**2 - s**3 + l + 0*s - 5/2*s**4 = 0. What is s?
-2/7, 0, 1
Let g(v) be the second derivative of -5*v**4/48 + 25*v**3/12 - 125*v**2/8 + 4*v - 7. Solve g(q) = 0 for q.
5
Let l = 122445/7 - 17491. Factor 6/7*j**2 - l + 0*j + 2/7*j**3.
2*(j - 1)*(j + 2)**2/7
Suppose 3*y + 4*p - 106 = y, 3*y - 129 = 4*p. Let f = 197/4 - y. Factor 0 - f*n**2 - 1/2*n.
-n*(9*n + 2)/4
Let n(q) = -6*q**2 - 13*q + 7. Let r(m) = 3*m**2 + 6*m - 3. Let t = -62 - -69. Let y(v) = t*r(v) + 3*n(v). Let y(s) = 0. Calculate s.
-1, 0
Suppose 5*j - 15*j + 296*j**2 - 301*j**2 + 15 = 0. Calculate j.
-3, 1
Let a = 60 + -125. Let l be 0 - (a/30 + 2). Suppose -1/6*h**3 + l*h**4 + 0 - 1/6*h**2 + 1/6*h = 0. What is h?
-1, 0, 1
Suppose -6*o + o = -4*z - 33, -4*z - 13 = -o. Suppose 5*d - 1 = o*s + 9, 0 = 4*s + 4*d - 32. What is a in 3*a**2 - 3*a**2 + s*a**2 + a - 2 = 0?
-1, 2/3
Let q = 820/4257 + 14/473. Factor 0 - q*v**2 + 0*v.
-2*v**2/9
Find a, given that 32 + 104/7*a - 4/7*a**2 = 0.
-2, 28
Let o(a) = a**2 - a - 1. Let q be o(0). Let z be (q - -2) + -2 + 4. Suppose -5*s**3 + 0*s**3 - s**3 + 3*s**3 + z*s = 0. What is s?
-1, 0, 1
Let w = 11858 - 11855. Factor 0 + 1/2*y**w + 1/4*y**4 + 0*y + 1/4*y**2.
y**2*(y + 1)**2/4
Suppose 14*j - 12*j - 8 = 0. Suppose 0 = n + j*h + 14, 0*n = n + h + 2. Suppose 3*v**3 + 6*v**2 + 0*v**n + 6*v + 3*v**2 = 0. Calculate v.
-2, -1, 0
Let t be -1*3*(-3 - (-32)/24). Let q(p) be the second derivative of -1/12*p**3 + 0 + 0*p**2 + 0*p**4 + 1/40*p**t - 2*p. Solve q(m) = 0 for m.
-1, 0, 1
Factor 174*g - 99*g**2 + 594*g + 3*g**3 + 8*g**2 - 5*g**2.
3*g*(g - 16)**2
Determine m so that -5*m**5 - 50 - 18*m**4 - 9*m**3 - 15*m + 70*m**2 - 2*m**4 - 20*m + 49*m**3 = 0.
-5, -1, 1, 2
Determine s, given that -4/7*s**2 + 1/7*s**4 - 3/7*s**3 + 0 + 0*s = 0.
-1, 0, 4
Let z(w) = 4*w + 31. Let s be z(-7). Let c(a) be the second derivative of 11/24*a**4 - 11*a + 3/4*a**2 - 5/6*a**s + 0 - 1/10*a**5. Let c(y) = 0. What is y?
3/4, 1
Suppose 38/5*n - 28/5 - 2/5*n**3 - 8/5*n**2 = 0. Calculate n.
-7, 1, 2
Let l(g) be the first derivative of -g**3/6 + 39*g**2/4 - 19*g + 517. What is i in l(i) = 0?
1, 38
Let j(i) = -2*i**4 - 34*i**3 - 212*i**2 - 96*i + 1370. Let p(w) = 2*w**3 - w**2 + w - 1. Let y(z) = 2*j(z) - 4*p(z). Factor y(f).
-4*(f - 2)*(f + 7)**3
Let k be 9/(-6) + (5068/480)/7. Let p(j) be the third derivative of -5/24*j**4 - k*j**6 + 0 - j**2 + 0*j - 1/15*j**5 - 1/3*j**3. Factor p(y).
-(y + 1)**2*(y + 2)
Let c(w) = w - 13. Let b be c(17). Let q(a) be the first derivative of 0*a + 0*a**5 + 0*a**3 + 0*a**2 - 1 + 1/3*a**6 - 1/2*a**b. What is g in q(g) = 0?
-1, 0, 1
Let a be (144/(-360))/((-2)/20). Let u(x) be the second derivative of -1/20*x**a - 1/150*x**6 + 0 - 1/30*x**3 + 0*x**2 + x - 3/100*x**5. Factor u(k).
-k*(k + 1)**3/5
Let j = -326 - -328. Let v be 6/20*10/12. Suppose v*b**3 + 0 + 1/4*b**j + 0*b = 0. What is b?
-1, 0
Let r(v) be the third derivative of 0*v**3 + 0*v**4 - 4*v**2 - 1/70*v**7 + 0 + 0*v + 0*v**5 + 1/224*v**8 + 1/80*v**6. Solve r(y) = 0.
0, 1
Let i(o) be the second derivative of 2*o**6/105 + 3*o**5/35 + o**4/7 + 2*o**3/21 - o + 23. Factor i(w).
4*w*(w + 1)**3/7
Suppose 31*o = 26*o + 10. Let q be (-34)/(-55) + ((-4)/(-11))/o. What is m in 4/5*m + 0 + 1/5*m**3 + q*m**2 = 0?
-2, 0
Let h(r) = 4*r - 40. Let l be h(9). Let w be 0/(24/4 + l). Find x such that -3*x**2 + 9/4*x**4 + w + 3*x**3 + 0*x = 0.
-2, 0, 2/3
Let x be (-2)/(-6) + 32/3. Let x*h**2 + h - 2 - h**3 - 6*h**2 - 3*h**2 = 0. Calculate h.
-1, 1, 2
Let a(d) = 2*d**3 + d**2 - 4*d + 6. Let b(f) = f**3 + f**2 - f + 2. Let j(p) = -a(p) + 3*b(p). Find i such that j(i) = 0.
-1, 0
Let x(i) = -22*i + 4. Let u be x(-2). Let l = u - 46. Suppose 0 + 6/7*k + 3/7*k**l = 0. Calculate k.
-2, 0
Let i(f) be the first derivative of -f**4/20 + 7*f**3/15 + 9*f**2/5 - 398. Solve i(m) = 0.
-2, 0, 9
Let o(n) be the third derivative of -n**7/210 - 9*n**6/40 - 5*n**5/4 - 73*n**4/24 - 4*n**3 - 132*n**2 - 1. What is w in o(w) = 0?
-24, -1
Suppose 0 = 25*t + 3*t. Let d(i) be the third derivative of 0*i**3 - 1/504*i**8 + 0*i**7 + 0 + 0*i**4 - 1/45*i**5 + t*i + 1/60*i**6 + 4*i**2. Factor d(b).
-2*b**2*(b - 1)**2*(b + 2)/3
Let i(x) = 5*x**3 + 6*x**2 + 9*x + 4. Let y(h) = -8*h**3 - 12*h**2 - 18*h - 7. Let p(j) = 7*i(j) + 4*y(j). Factor p(d).
3*d*(d - 3)*(d + 1)
Let g(i) be the first derivative of i**5/30 - i**4/6 + 4*i**2/3 - 8*i/3 - 90. Factor g(l).
(l - 2)**3*(l + 2)/6
Suppose 5*c + 9*c = 0. Let x(t) be the third derivative of c*t + 1/40*t**7 + 0*t**3 + 0*t**5 + 1/80*t**6 + 0*t**4 + 3*t**2 + 0. Factor x(f).
3*f**3*(7*f + 2)/4
Let u(j) = 3*j + 1. Let q(c) = -c**2 - 55*c - 677. Let i(w) = q(w) + u(w). Factor i(d).
-(d + 26)**2
Let a(i) = 2*i**5 - 15*i**4 + 2*i**3 + 22*i**2 + 17*i. Let q(p) = p**5 - 15*p**4 + p**3 + 21*p**2 + 16*p. Let n(f) = 6*a(f) - 7*q(f). Factor n(y).
5*y*(y - 1)*(y + 1)**2*(y + 2)
Let k = 33 + -23. Find m such that 20*m - m**2 - 45*m**2 + k*m**3 - 2*m**4 + 11*m**2 + 7*m**4 = 0.
-4, 0, 1
Let f = -41 + 20. Let k be (-1)/(-4 - f/6). Factor -12*a**k - 7*a**3 + 0*a + 5*a**3 - 4*a - 7*a**3.
-a*(3*a + 2)**2
Let f be (9/(-2) + 2)*10. Let k be (-6)/10 + (-40)/f. Suppose 1/2*v**2 - 3/2*v + k = 0. Calculate v.
1, 2
Let q(t) be the first derivative of 0*t**2 + 2/105*t**5 + 0*t + 1/7*t**4 - 18 + 2/7*t**3. Factor q(o).
2*o**2*(o + 3)**2/21
Let p(b) be the second derivative of b**4/12 - 2*b**3/3 - 5*b**2/2 + 23*b. Factor p(c).
(c - 5)*(c + 1)
Suppose -5*g - 31 = -2*a, -a + 2*g = -0*a - 13. Let n be (a/(-6))/((-2)/8). Factor 0 + 8/5*m**4 + 2*m**3 + 2/5*m**5 + 0*m + 4/5*m**n.
2*m**2*(m + 1)**2*(m + 2)/5
Find m, given that 120*m - 3*m**3 - 20*m**2 - 1486*m**4 + 1491*m**4 - 47*m**3 + 5*m**5 = 0.
-3, -2, 0, 2
Suppose -405*z + 406*z - 15 = -4*m, -m - 3 = -2*z. Suppose 1/3*c**z + 2/3*c**2 - 4/3*c - 8/3 = 0. What is c?
-2, 2
Let h = 4090/14217 + -4/2031. Factor -72/7 - h*m**2 - 24/7*m.
-2*(m + 6)**2/7
