 = -s + 24. Factor -4*m**4 + 3*m**4 - 3*m**4 + 7*m**g - 3*m**2.
3*m**2*(m - 1)*(m + 1)
Let g = -87 + 112. Find r such that 9 - 51*r - 88*r**3 + 16*r**4 + 35*r**2 + g*r + 92*r + 62*r**2 = 0.
-1/4, 3
Let z(b) be the first derivative of b**6/150 + 3*b**5/100 + b**4/20 + b**3/30 + 9*b**2/2 + 3. Let t(v) be the second derivative of z(v). Solve t(n) = 0.
-1, -1/4
Let q(f) = f**2 - 4*f + 1. Let h(r) = -8*r**2 + 808*r - 76838. Let s(x) = -h(x) - 6*q(x). Find w such that s(w) = 0.
196
Suppose -10 = -2*t - 3*t - m, 4*t - 8 = 5*m. Let z(x) = x**2 + 3*x + 5. Let g be z(-2). Factor 3/2 + 3/4*f**g + 0*f**t - 9/4*f.
3*(f - 1)**2*(f + 2)/4
Let t(u) be the first derivative of -u**4/16 + u**3/3 + u**2/2 - 4*u + 44. Factor t(x).
-(x - 4)*(x - 2)*(x + 2)/4
Let p(r) be the second derivative of -r**7/70 - 3*r**6/25 + 18*r**5/25 - 13*r**4/10 + 9*r**3/10 + 49*r - 2. Let p(l) = 0. Calculate l.
-9, 0, 1
Let m(g) be the second derivative of 0*g**2 - 1/40*g**5 + 12*g + 0 - 1/4*g**3 + 1/6*g**4. Solve m(z) = 0 for z.
0, 1, 3
Let i be (-3 - (5 + -3))*-1. Solve i*g**3 - 2*g + 6*g + 5*g**2 - 4*g = 0.
-1, 0
Suppose 0 = 5*j - 5*s - 1650, -3*j + 990 = -2*s - 2*s. What is d in j*d - 42*d**3 - 3*d**4 + 8*d**5 - 34*d**2 - 3*d**4 - 336*d = 0?
-1, -1/4, 0, 3
Let t(i) be the third derivative of 13/8*i**4 - 1/2*i**3 + 7/16*i**8 + 1/2*i**7 - 31/20*i**6 + i**2 - 17/10*i**5 + 0*i - 34. Let t(x) = 0. What is x?
-1, 1/7, 1
Let i(h) = -h**2 + 48*h + 49. Let w(v) = 24*v + 24. Let r(f) = 2*i(f) - 5*w(f). Determine y, given that r(y) = 0.
-11, -1
Let b(q) be the second derivative of q**4/6 + q**3/3 + 20*q. Let n be b(-2). Factor 0*f - 9/4*f**3 - 9/4*f**n + 0 - 3/4*f**2 - 3/4*f**5.
-3*f**2*(f + 1)**3/4
Factor -20/3*d - 4/3*d**3 + 16/3*d**2 + 8/3.
-4*(d - 2)*(d - 1)**2/3
Let i(n) = 3*n**3 + 10*n**2 - 21*n + 13. Let u(x) = 2*x**3 + 5*x**2 - 11*x + 7. Let m(y) = -6*y - 25. Let w be m(-5). Let q(a) = w*u(a) - 3*i(a). Factor q(c).
(c - 2)**2*(c - 1)
Let q = 73 - 76. Let u(t) = t**3 + t**2 - t - 1. Let w(h) = 21*h**4 - 87*h**3 + 132*h**2 - 75*h + 9. Let o(c) = q*u(c) + w(c). Let o(d) = 0. What is d?
2/7, 1, 2
Let g(l) be the first derivative of 0*l**3 - 19 + 0*l**4 + 1/2*l**6 + 0*l + 0*l**2 + 9/5*l**5. Determine j, given that g(j) = 0.
-3, 0
Let a(b) be the second derivative of -b**5/540 + b**4/18 - 2*b**3/3 + 14*b**2 - 14*b. Let x(f) be the first derivative of a(f). Find i such that x(i) = 0.
6
Suppose 0 = 6*a - 4*a - 2, -6 = -5*q + 4*a. Let o = q - 0. Solve 3*w**3 - w**4 + 0*w**o + 4*w**4 + w - 3*w**2 - 4*w = 0.
-1, 0, 1
Let u(t) be the third derivative of 7/6*t**4 + 4/3*t**3 + 4*t**2 + 0*t + 1/6*t**6 + 3/5*t**5 + 0 + 2/105*t**7. Let u(x) = 0. Calculate x.
-2, -1
Suppose 3*r - r = -14*r. Let d(n) be the third derivative of 1/25*n**5 + 0 + r*n + 5*n**2 - 1/150*n**6 + 2/15*n**3 - 1/10*n**4. Factor d(b).
-4*(b - 1)**3/5
Let o(b) be the second derivative of b + 1/42*b**4 + 0*b**3 + 0 - 4/7*b**2. Factor o(v).
2*(v - 2)*(v + 2)/7
Solve -2/5*s**3 - 3034/5*s + 6724/5 - 32*s**2 = 0.
-41, 2
Suppose 0 = h + 116 - 23. Let d = h - -95. Factor 6/7*w - 4/7 - 2/7*w**d.
-2*(w - 2)*(w - 1)/7
Let f be (-2)/3*(-18)/96. Let a(d) be the first derivative of -4*d - d**3 - f*d**4 - 3*d**2 + 9. Factor a(v).
-(v + 2)**3/2
Suppose 11*b - 7*b = 52. Suppose 3*p + b = 22. Factor -h**p - 1/2*h**2 + 0 + 0*h - 1/2*h**4.
-h**2*(h + 1)**2/2
Determine o so that -32*o**4 - 3*o**5 - 33*o**2 + 9*o**2 - 2*o**5 - 52*o**3 + o**5 = 0.
-6, -1, 0
Let s(i) be the first derivative of 2*i**3/33 - 68*i**2/11 + 2312*i/11 - 13. Suppose s(k) = 0. What is k?
34
Let m = 59 - 55. Factor 2*g**2 - 2*g**3 + 19 + g**2 + 4*g - g**m - 23.
-(g - 1)**2*(g + 2)**2
Suppose -15 = 5*z, 0 = -q - 0*z - z - 15. Let o be (-64)/40*10/q. Factor -1/3*m + 4/3*m**2 + o*m**4 - 1/3*m**5 + 0 - 2*m**3.
-m*(m - 1)**4/3
Let m(c) be the first derivative of 3*c**4/16 - 5*c**3/2 + 12*c**2 - 24*c - 510. Factor m(q).
3*(q - 4)**2*(q - 2)/4
Let m = -22303/15 + 1487. Let d(f) be the second derivative of 0*f**2 - 1/3*f**4 + m*f**6 + 0 + 1/3*f**3 - 13*f - 1/21*f**7 + 0*f**5. Factor d(q).
-2*q*(q - 1)**3*(q + 1)
Let c(g) = 7*g**5 + 30*g**4 + 8*g + 8. Let j(o) = -2*o**5 - 10*o**4 - 3*o - 3. Let b = 12 - 20. Let m(r) = b*j(r) - 3*c(r). Suppose m(i) = 0. What is i?
-2, 0
Suppose -5*x = -15*x + 20. Let v(n) = 3*n**3 + 27*n**2 + 40*n + 20. Let d(m) = 2*m**3 + 28*m**2 + 40*m + 20. Let l(a) = x*d(a) - 3*v(a). Factor l(y).
-5*(y + 1)*(y + 2)**2
Let i(u) be the second derivative of -15*u**2 - 5/3*u**3 - 38*u + 2 - 1/8*u**5 + 35/24*u**4. Determine p so that i(p) = 0.
-1, 2, 6
Let m be (-2)/4*114/(-19). Factor 6/5 + 3/5*s**4 + 21/5*s + 3*s**m + 27/5*s**2.
3*(s + 1)**3*(s + 2)/5
Let i = 37366/13 + -2872. Let z = -21/26 + i. Find r such that -27/2 - z*r**2 - 9*r = 0.
-3
Let p be (-4 - -5 - -7) + 3 + -6. Let u(z) = -9*z**4 - 3*z**3 + 7*z**2 + 3*z + 2. Let w(r) = r**4 - r**2. Let y(i) = p*u(i) + 40*w(i). Factor y(k).
-5*(k - 1)*(k + 1)**2*(k + 2)
Let f = 244954 - 2691718/11. Let l = f - 252. Factor -4/11*z**2 + 0 + l*z**4 + 0*z**3 - 2/11*z + 2/11*z**5.
2*z*(z - 1)*(z + 1)**3/11
Let w(x) be the first derivative of -10*x - 15/2*x**2 - 5/3*x**3 + 12. Factor w(s).
-5*(s + 1)*(s + 2)
Let u be 11/11*53*1 - 1. Determine p, given that 53*p**3 - 7*p**2 - 28*p - u*p**3 + 20*p = 0.
-1, 0, 8
Let z(d) = -d + 2. Let q(l) = l**2 + 2*l - 8. Let u(c) = -c**2 + 21*c - 20. Let i be u(21). Let s(t) = i*z(t) - 5*q(t). Solve s(n) = 0 for n.
0, 2
Let n(y) = 59*y + 357. Let u be n(-6). Let h(s) be the first derivative of -3/4*s**4 + u + 3/2*s**2 + s**3 - 3*s. Factor h(g).
-3*(g - 1)**2*(g + 1)
Solve -17/2*t**2 - t**3 + 0 - 4*t = 0 for t.
-8, -1/2, 0
Solve -18*v**2 + 3*v**3 - 60*v - 48 + 3/2*v**4 = 0 for v.
-2, 4
Let g(l) be the third derivative of -5*l**2 - 56/3*l**4 + 0 - 98/3*l**3 - 26/5*l**5 - 8/15*l**6 - 2/105*l**7 + 0*l. Find u such that g(u) = 0.
-7, -1
Let v(l) = 1. Let c(j) = -j**2 + 18*j + 9. Let d(o) = 4*c(o) - 36*v(o). Factor d(n).
-4*n*(n - 18)
Let l(v) be the second derivative of 3*v**5/20 - v**4/4 - v**3/2 + 3*v**2/2 + 158*v. Let l(h) = 0. Calculate h.
-1, 1
Let n(m) = m**2 + 8*m - 29. Let g be n(-10). Let b be (-78)/4*(8 - 5)/g. Factor 3*c**3 - b*c**2 - 2 + 6*c - 1/2*c**4.
-(c - 2)**2*(c - 1)**2/2
Let q(i) be the first derivative of -2*i**3 - 339*i**2/5 + 276*i/5 - 46. Factor q(w).
-6*(w + 23)*(5*w - 2)/5
Let d = -25975/6 - -8665/2. Factor 2/9*i**3 + 2 + 14/9*i**2 + d*i.
2*(i + 1)*(i + 3)**2/9
Factor 0 - 16/3*l**4 + 0*l - 26/3*l**3 - 2/3*l**5 - 4*l**2.
-2*l**2*(l + 1)**2*(l + 6)/3
Let v(i) be the second derivative of i**6/6 - 29*i**5/4 + 135*i**4/4 - 395*i**3/6 + 65*i**2 + 192*i. Suppose v(q) = 0. What is q?
1, 26
Let v(s) = s. Let t = -6 - -10. Let o(i) = 4*i**2 + 12*i + 12. Let c(q) = t*v(q) + o(q). Factor c(a).
4*(a + 1)*(a + 3)
Let i(k) be the third derivative of -k**6/24 - k**5/3 + 5*k**4/8 + 15*k**3 + 23*k**2 + 3. Find l such that i(l) = 0.
-3, 2
Suppose -5*g + 2*g + a = -10, -12 = -4*g + a. Find k, given that 18 - 132*k + 8 + 363*k**g - 14 = 0.
2/11
Let f(p) = -p + 11. Suppose -t - t = 3*a - 11, 0 = -2*t + 4*a + 18. Let g be f(t). Factor 2*v**5 - v - v**5 - 2*v**2 - 30*v**4 + 32*v**g.
v*(v - 1)*(v + 1)**3
Let k(n) be the second derivative of -2/105*n**6 - 2/35*n**5 + 0 + 1/21*n**3 + 0*n**2 + 15*n + 1/21*n**4 + 1/49*n**7. What is m in k(m) = 0?
-1, -1/3, 0, 1
Let h(k) be the third derivative of -k**5/600 + k**4/240 + k**3/30 - 121*k**2. Find m, given that h(m) = 0.
-1, 2
Let c(q) be the third derivative of q**7/504 + q**6/16 + q**5/3 + 7*q**4/6 - 7*q**2. Let d(i) be the second derivative of c(i). Determine z so that d(z) = 0.
-8, -1
Let g(k) be the second derivative of -k**5/80 + k**4/16 - k**3/8 - 9*k**2/2 + 9*k. Let z(m) be the first derivative of g(m). Factor z(p).
-3*(p - 1)**2/4
Let j(o) = -o**2 - 4*o + 2. Let g(a) = 135*a + 110. Let h(r) = -g(r) - 5*j(r). Determine t, given that h(t) = 0.
-1, 24
Suppose 3*y - 75 = -5*q, 3 = -5*y - 22. Let o = -15 + q. Let -9*v + 5 + 9*v**o + 0 - 3*v**4 + 1 - 3*v**2 = 0. Calculate v.
-1, 1, 2
Suppose 3*m + 0*m = -m. Let s(r) be the second derivative of 44/9*r**3 + 9/5*r**6 + m + 4/3*r**2 + 33/5*r**5 + 6*r + 157/18*r**4. Find u such that s(u) = 0.
-1, -2/9
Solve -1/2*w**2 - 2888 + 76*w = 0 for w.
76
Let z be 2197/5460 + ((-26)/(-10) - 3). Let f(p) be the third deriv