r 0*m - 8/5*m**3 - 16/15*m**t - 2/15*m**5 + 0 - 4/5*m**4.
-2*m**2*(m + 2)**3/15
Let d(g) = -g**3 - 6*g**2 + 7*g - 1. Let s be d(-7). Let b be 24/s*2/(-6). Solve -10*l**2 + b*l - 2*l**2 + 0*l - l**4 + 6*l**3 = 0.
0, 2
Solve x**2 - 236*x + 74*x**3 - 2*x**2 + 2*x**4 - 4*x**4 + 3*x**2 + 162*x = 0.
-1, 0, 1, 37
Let v(j) be the third derivative of -j**5/30 + 5*j**4/6 - 25*j**3/3 + 2*j**2 + 6. Factor v(p).
-2*(p - 5)**2
Let f(x) be the first derivative of -x**6/6 + 3*x**5/5 + x**4/4 - 11*x**3/3 + 6*x**2 - 4*x - 307. Factor f(p).
-(p - 2)*(p - 1)**3*(p + 2)
Suppose -8*f = -2*f + 53*f - 177. Factor -1/5*m**f + 1/5 + 1/5*m - 1/5*m**2.
-(m - 1)*(m + 1)**2/5
Factor -3111*u + 0*u**3 + 3195*u + 16*u**2 - 4*u**3.
-4*u*(u - 7)*(u + 3)
Let i(m) be the first derivative of -12*m**5/5 + 19*m**4/2 - 2*m**3 + 480. Suppose i(p) = 0. Calculate p.
0, 1/6, 3
Let a(h) be the first derivative of -2*h**5/25 - h**4/5 - 2*h**3/15 - 322. Find n such that a(n) = 0.
-1, 0
Let p(k) be the third derivative of k**7/945 - k**6/60 + 4*k**5/135 + 7*k**2 - 4. Factor p(b).
2*b**2*(b - 8)*(b - 1)/9
Let 610/3*q**2 - 2*q**5 - 13/3*q**4 - 32 + 64/3*q + 191/3*q**3 = 0. Calculate q.
-4, -1/2, 1/3, 6
Let n = 1171 + -1169. Determine z so that -4/3*z + 2/3*z**5 + 0 + 2/3*z**3 + n*z**2 - 2*z**4 = 0.
-1, 0, 1, 2
Let c(r) be the first derivative of 1/4*r**3 - 21/8*r**2 + 9/2*r + 33. Factor c(d).
3*(d - 6)*(d - 1)/4
Let r(k) be the first derivative of -k**6/4 + 3*k**5/10 + 9*k**4/8 - k**3/2 - 3*k**2/2 - 134. Find p, given that r(p) = 0.
-1, 0, 1, 2
Let x(a) be the second derivative of 2*a**6/15 - 2*a**5 + 8*a**4/3 + 20*a**3/3 - 18*a**2 - 40*a. Factor x(k).
4*(k - 9)*(k - 1)**2*(k + 1)
Let g = -5116 - -35820/7. Factor 0 + 2/7*u**2 - g*u.
2*u*(u - 4)/7
Let m(a) = 25*a**2 + 69*a - 18. Let s be m(-3). Determine g, given that -8/3*g**2 + 64/3*g**3 - 56/3*g**4 - 4*g + 4*g**5 + s = 0.
-1/3, 0, 1, 3
Let k(v) be the third derivative of 2/3*v**4 + 14*v**2 + 0*v + 0*v**3 + 1/30*v**6 + 0 - 4/15*v**5. Factor k(x).
4*x*(x - 2)**2
Let r(g) be the third derivative of -g**5/240 - 7*g**4/32 - 19*g**3/12 - 2*g**2 - 201. Solve r(b) = 0.
-19, -2
Factor 507*o - 553*o - 47 - 517 + 35 + o**2 - 2*o**2.
-(o + 23)**2
Let t = -1813136189/465 - -3899220. Let m = t + 1/93. Suppose 9/5*z**5 + 1/5*z + 0 + m*z**4 - 4/5*z**2 - 2/5*z**3 = 0. What is z?
-1, 0, 1/3
Let c be (-3)/(-15)*(-15)/(-438). Let k = c + 579/730. Determine n so that 16/5*n**5 + 0*n + k*n**2 - 16/5*n**3 + 0 - 4/5*n**4 = 0.
-1, 0, 1/4, 1
Let s = 1037 - 1037. Let h(t) be the second derivative of 1/3*t**3 + s - 2*t**2 - t + 1/6*t**4. Factor h(w).
2*(w - 1)*(w + 2)
Let q(y) be the second derivative of -y**8/1680 - y**7/525 - y**6/600 - 13*y**2 + 13*y. Let o(k) be the first derivative of q(k). Factor o(l).
-l**3*(l + 1)**2/5
Let r(x) be the second derivative of x**5/120 - x**4/24 - 13*x**3/36 + 5*x**2/4 + 2*x + 407. Factor r(g).
(g - 5)*(g - 1)*(g + 3)/6
Let k(j) be the second derivative of j**8/10080 - j**7/3780 - 7*j**4/6 + 4*j. Let z(q) be the third derivative of k(q). Suppose z(h) = 0. What is h?
0, 1
Let a = -5/1779 - -21383/12453. Determine n, given that -a + 6/7*n**2 + 2*n - 6/7*n**3 - 2/7*n**4 = 0.
-3, -2, 1
Let s = 708326/903159 + 2/53127. Let d = s - 2/17. Let d + 1/3*k**2 + k = 0. Calculate k.
-2, -1
Let l(m) be the second derivative of -19*m + 1/4*m**4 + 0*m**2 + 0 + 0*m**5 + 0*m**3 - 1/10*m**6. Let l(b) = 0. What is b?
-1, 0, 1
Suppose -39*i = -43*i - 3*r + 15, 0 = -12*i + r + 35. Suppose 0 + 3/2*u - 15/8*u**3 + i*u**2 = 0. What is u?
-2/5, 0, 2
Factor 69 + 0*g**2 + 88*g + 21 + 96*g + 17*g - 21*g**2.
-3*(g - 10)*(7*g + 3)
Let p be 8/84*7*5/2. Let t(u) be the second derivative of -2/3*u**4 + 0 + 3*u - p*u**3 - u**2. Suppose t(g) = 0. Calculate g.
-1, -1/4
Let g(q) be the third derivative of q**8/2352 - q**7/294 + q**6/105 - q**5/105 - 166*q**2. Factor g(j).
j**2*(j - 2)**2*(j - 1)/7
Suppose 6*j - 11 = 7. Let b(p) be the second derivative of p - 1/10*p**5 + 0*p**2 + 0 + 3/14*p**4 - 2/21*p**j. Find u such that b(u) = 0.
0, 2/7, 1
Let v be (8/(-5))/((-36)/90). What is s in 8*s**2 - 3*s**4 + 3*s**v + 12*s**3 - 2*s**4 + 6*s**4 = 0?
-2, -1, 0
Let l(z) be the third derivative of 1/42*z**8 - 11/315*z**7 + 0 + 0*z**4 + 0*z**5 + 0*z**3 - 6*z**2 + 0*z + 1/90*z**6. Suppose l(y) = 0. Calculate y.
0, 1/4, 2/3
Factor -74*l**2 - 21 - 36*l**3 + 64*l - 51 - 2*l**4 + 56*l + 56*l**3.
-2*(l - 3)**2*(l - 2)**2
Let p(r) be the first derivative of 2*r**5 - 8*r**4 + 2*r**3 + 20*r**2 - 8*r - 141. Factor p(f).
2*(f - 2)**2*(f + 1)*(5*f - 1)
Let l be 45/8*(-140)/(-21)*4/36. Factor 5/3*k - l - 1/6*k**2.
-(k - 5)**2/6
Let o(c) be the second derivative of -1/4*c**6 + 0 + 1/8*c**4 + 2*c**3 - 5*c - 1/28*c**7 - 21/40*c**5 + 3*c**2. Find u such that o(u) = 0.
-2, -1, 1
Suppose n = 5*i + 17, -9*n + 5*n = -2*i + 22. Let q = n + 12. Suppose -12/5*d**3 - 8/5*d**5 - 2/5*d**2 + 0 - 18/5*d**q + 0*d = 0. What is d?
-1, -1/4, 0
Let z(n) = -n**3 - 3*n**2 + 8*n - 13. Let d be z(3). Let i = 43 + d. Determine p so that 0*p**3 + i - 2/9*p**5 + 4/9*p**4 + 2/9*p - 4/9*p**2 = 0.
-1, 0, 1
Let q = 1722 + -1718. Suppose -2*d + 1/2*d**5 + 2*d**q - 2*d**2 + 0 + 3/2*d**3 = 0. What is d?
-2, -1, 0, 1
Suppose 0 = -s + 6*s. Suppose -2*t + 14 = 3*f, s = 4*f - 5*t + 1 + 11. Determine j, given that 8/9*j - 2/9*j**f - 2/3 = 0.
1, 3
Let g(m) be the second derivative of -m**7/21 - m**6/5 + m**5/5 + m**4 - m**3/3 - 3*m**2 + m + 174. What is c in g(c) = 0?
-3, -1, 1
Let t(i) = 28 - 23 + 6*i**2 - i**2 + 20*i. Let b(p) = 7*p**2 + 30*p + 7. Let s(a) = 5*b(a) - 8*t(a). Factor s(m).
-5*(m + 1)**2
Suppose 0*t + 7*t - t = 0. Suppose 0 = -5*k, t*u = u + 2*k. Factor 0*y + u - 2/3*y**4 - 4/3*y**2 + 2*y**3.
-2*y**2*(y - 2)*(y - 1)/3
Let n be 24/10*(14 - 259/21). Let d(l) be the third derivative of 0*l + 6*l**2 + 0 + 0*l**3 + 1/120*l**6 - 1/120*l**5 - 1/420*l**7 + 0*l**n. Factor d(b).
-b**2*(b - 1)**2/2
Factor -11/4 - 15/4*u**4 + 25/2*u**3 + 1/4*u**5 + 45/4*u - 35/2*u**2.
(u - 11)*(u - 1)**4/4
Let s be -3 + 2*39/6. Let d be (4/s)/(1/5). Suppose -2*f**d + 3*f - 3*f + 5*f - 4*f = 0. Calculate f.
0, 1/2
Let a(h) be the first derivative of 7*h**5/270 - h**4/12 + 2*h**3/27 - h**2 + 2. Let p(l) be the second derivative of a(l). Factor p(c).
2*(c - 1)*(7*c - 2)/9
Suppose -2 = 4*x - 10. Factor 3*q - 8*q + x*q + 2*q**2 - q.
2*q*(q - 2)
Let t(r) = 5*r - 39. Let w be t(9). Let b be (-8)/w*(-54)/252. Determine q so that 0*q + 0 - 4/7*q**5 - b*q**2 - 3/7*q**4 + 9/7*q**3 = 0.
-2, 0, 1/4, 1
Let x(h) be the third derivative of -h**6/120 + 3*h**5/20 - h**2 + 206. Solve x(v) = 0.
0, 9
Let t(d) = -3*d**3 + 2*d**2 + 7*d + 6. Let x(l) = 4*l**3 - 3*l**2 - 7*l - 6. Let s(b) = -6*t(b) - 4*x(b). Factor s(g).
2*(g - 3)*(g + 1)*(g + 2)
Let z(m) = 2*m**4 + m**3 - m**2 - m - 2. Let n(v) = 20*v**4 + 30*v**3 + 70*v**2 - 150*v + 15. Let b(s) = -n(s) + 15*z(s). What is r in b(r) = 0?
-3, 1/2, 1, 3
Let k = -3595 - -3595. Factor 0 + k*t - 2/3*t**2 + 0*t**3 + 2/3*t**4.
2*t**2*(t - 1)*(t + 1)/3
Let s(n) be the second derivative of -n**6/120 + 3*n**5/16 - 71*n**4/48 + 43*n**3/8 - 9*n**2 - 451*n. Determine w, given that s(w) = 0.
1, 3, 8
Let u(x) be the third derivative of -x**6/165 - x**5/22 + x**4/33 - 78*x**2. Let u(r) = 0. What is r?
-4, 0, 1/4
Let c(j) be the first derivative of 14 + 3*j - 9/2*j**4 - 5*j**3 + 3*j**2. Factor c(a).
-3*(a + 1)*(2*a - 1)*(3*a + 1)
Factor -81 + 177*p**2 + 21 + 195*p + 42*p**3 - 39*p.
3*(p + 2)*(2*p + 5)*(7*p - 2)
Let x = 83 - 79. Suppose -2*r + 3*j = 12 - 18, -4*r - 8 = x*j. What is f in r - 2/7*f**2 + 4/7*f = 0?
0, 2
Let m(z) be the third derivative of z**5/20 - z**3/2 - 322*z**2. Factor m(w).
3*(w - 1)*(w + 1)
Let g be (71/(-5) + 1)*(-90)/12. Let m = -293/3 + g. Factor m - 14/3*b + 2/3*b**4 - 10/3*b**3 + 6*b**2.
2*(b - 2)*(b - 1)**3/3
Let t(x) = -5*x**2 + 165*x + 80. Let r(n) = -7*n + 1. Let b(l) = -30*r(l) - t(l). Suppose b(c) = 0. Calculate c.
-11, 2
Suppose -a = -3*i + 4, -3*i = 3*a - a - 10. Let -3*o**a - 4*o + 5*o - o = 0. Calculate o.
0
Let n = -13 - -46. Suppose 5*z = 2*d + 21, 2*z - 4*d = 7*z - n. Factor -3*q**3 - z - 3*q**4 + 5 + 0 - q**2 - q**5.
-q**2*(q + 1)**3
Let w be (-15)/((-2475)/(-44))*(-72)/16. Factor -2/5*y**2 - w*y - 4/5.
-2*(y + 1)*(y + 2)/5
Factor 30*j**3 - 138*j**2 - 1352 - 17*j**4 + 15*j**4 - 1144*j + 14*j**3