r 1 + 7/6*d + 1/6*d**4 - 1/2*d**3 - 1/2*d**2.
(d - 3)*(d - 2)*(d + 1)**2/6
Determine t, given that 5/2*t**3 + 0 + 10*t**2 - 5/2*t**4 - 10*t = 0.
-2, 0, 1, 2
Let t(w) be the second derivative of -3*w**6/70 - 3*w**5/20 - 5*w**4/28 - w**3/14 + 334*w. Factor t(z).
-3*z*(z + 1)**2*(3*z + 1)/7
Let q(i) = -4*i**3 - 238*i**2 - 228*i + 6. Let g(a) = 3*a**3 + 236*a**2 + 228*a - 5. Let z(h) = -6*g(h) - 5*q(h). Factor z(r).
2*r*(r - 114)*(r + 1)
Let t(w) be the first derivative of -w**5/25 - w**4/5 - 2*w**3/15 + 2*w**2/5 + 3*w/5 + 9. Factor t(d).
-(d - 1)*(d + 1)**2*(d + 3)/5
Let w = 25981256/375 + -69282. Let t = w + -2/125. Factor 1/3*b**2 - 5/3*b + t.
(b - 4)*(b - 1)/3
Let v(r) = r**3 - 23*r**2 - 21*r - 70. Let w be v(24). Let d be 11/9 + 1 + -2. Factor -4/9*m - d*m**3 + 0 + 2/3*m**w.
-2*m*(m - 2)*(m - 1)/9
Factor -30*q + 14*q**2 + 3*q**3 - 5*q**3 + 10 + 8*q.
-2*(q - 5)*(q - 1)**2
Let w(v) be the first derivative of 2*v**5/5 + 4*v**4 + 12*v**3 - 54*v + 616. Find q such that w(q) = 0.
-3, 1
Let j(s) = s**2 + 8*s + 17. Let p be j(-8). Let f = p - 13. Solve -4 - 4*g + g**4 + f*g**3 - 3*g**4 + 6 + 0 = 0 for g.
-1, 1
Let l = 118 + -109. Suppose 3*t + 0 = l. Factor 1/2*r**2 + 9/2 + t*r.
(r + 3)**2/2
Let s be (60/(-8)*-1)/(1/(-2)). Let k be 1 + -6 - 150/s. What is t in 3/2*t**k + 45*t**3 + 27/2*t**4 + 27/2 + 69*t**2 + 99/2*t = 0?
-3, -1
Solve -36/11*u + 162/11 + 2/11*u**2 = 0.
9
Let k be -7 - (12 + -11)*-1*7. Suppose -3/2*d**2 + k*d + 1/2*d**3 + 0 = 0. What is d?
0, 3
Let u(p) be the first derivative of -p**5/20 - p**4/12 + p**3/6 + p**2/2 - 4*p + 15. Let y(g) be the first derivative of u(g). Factor y(b).
-(b - 1)*(b + 1)**2
Let v = 30396 + -30394. Find s, given that -51/5*s**3 - 63/5*s**v + 0 - 9/5*s**4 + 27/5*s = 0.
-3, 0, 1/3
Let x be (-62)/(-466)*713/217. Let k = x + -2/233. Factor -4/7*y**2 + 0 + k*y**4 - 4/7*y + 5/7*y**3.
y*(y - 1)*(y + 2)*(3*y + 2)/7
Let z = 17 - 14. Suppose -8 = -o + 5*r, 15 = -0*o + 4*o - z*r. Factor 0*m**2 + 2*m**2 + 5*m**o + 3*m - 3*m.
m**2*(5*m + 2)
Let t(c) be the second derivative of c**10/136080 + c**9/13608 + 25*c**4/6 - 11*c + 2. Let b(n) be the third derivative of t(n). Factor b(f).
2*f**4*(f + 5)/9
Suppose 15*x + 7*x = 0. Let r(t) be the second derivative of -1/24*t**4 - 1/18*t**3 + 0*t**2 + x + 3*t - 1/120*t**5. Find c, given that r(c) = 0.
-2, -1, 0
Let s be 13 - ((11 - 7) + -3). Factor 18*j - 9*j**2 - s + 3/2*j**3.
3*(j - 2)**3/2
Find b such that 0 + 0*b - 3*b**4 - 6*b**3 - 3/7*b**5 - 24/7*b**2 = 0.
-4, -2, -1, 0
Let v(m) be the second derivative of m**4/96 - 3*m**3/2 + 14*m - 4. Factor v(g).
g*(g - 72)/8
Suppose 4*v - 70 = -5*r, -v + 38 = 3*r - 4. Let w be (-6)/r*4/(-6). Suppose w*z**2 + 0 + 6/7*z = 0. Calculate z.
-3, 0
Factor -2/3*n + 7/6*n**4 + n**3 - 7/2*n**2 + 2.
(n - 1)**2*(n + 2)*(7*n + 6)/6
Let v(n) be the first derivative of n**4/12 - 35*n**3/3 + 1225*n**2/2 - 42875*n/3 + 576. Factor v(q).
(q - 35)**3/3
Let u(p) be the first derivative of p**3/9 - p**2 + 3*p + 408. Factor u(s).
(s - 3)**2/3
Let v(y) be the first derivative of -y**6/450 + 2*y**5/75 - y**4/10 - 13*y**3/3 - 8. Let k(m) be the third derivative of v(m). Factor k(j).
-4*(j - 3)*(j - 1)/5
Let s(r) be the first derivative of -8*r + 4/3*r**3 + 2*r**2 - 18. Factor s(p).
4*(p - 1)*(p + 2)
Let m(t) = 4*t + 12. Let y be m(-2). Factor -4*p**5 + 4*p**3 + 18*p**4 - 73*p - 6*p**y - 16 - 44*p**2 + 121*p.
-4*(p - 2)*(p - 1)**3*(p + 2)
Let v be (-5404)/(-420) - (-6)/45. Let n(o) be the first derivative of -1/4*o**4 + 1/2*o**2 + 0*o - 1/10*o**5 + 1/6*o**3 + v. Factor n(t).
-t*(t - 1)*(t + 1)*(t + 2)/2
Suppose -4*x = 4, 0*x + 8 = 5*p + 2*x. Factor w**3 - 6*w**5 - 3*w**4 - p*w - 5*w**2 + 8*w**2 + 0*w**4 + 7*w**5.
w*(w - 2)*(w - 1)**2*(w + 1)
Let n be (-83)/(-5) + 30/75. Factor 11*s - 50 - 14*s - 2*s**2 - n*s.
-2*(s + 5)**2
Let c = 30 + -26. Suppose 0 = -5*u - 5*g + 25, c*g = -u + 8*g - 5. Factor 4*l + 3*l**3 - 7*l**u + 0*l**2 + 8 - 8*l**2.
-4*(l - 1)*(l + 1)*(l + 2)
Let q(f) be the first derivative of -121*f**5/15 + 143*f**4/6 + 359*f**3/9 - 104*f**2 - 192*f - 174. Solve q(v) = 0.
-1, 24/11
Suppose 0 = 118*w - 91*w - 135. Let p(s) be the second derivative of 0*s**w + 0*s**2 + 4*s - 1/165*s**6 + 0 + 0*s**4 + 0*s**3. Factor p(g).
-2*g**4/11
Let o be -2 + (-6)/(-2) + -1. Let q = -3/43 - -193/301. Factor -2/7*m**3 + q*m + o - 2/7*m**2.
-2*m*(m - 1)*(m + 2)/7
Let y be 648/729*1/4. Let i(k) be the second derivative of -2*k + 0 + y*k**4 + 1/45*k**6 + 2/15*k**5 + 0*k**2 + 0*k**3. Factor i(b).
2*b**2*(b + 2)**2/3
Let t(w) be the first derivative of w**4/18 + 4*w**3/27 - 62. Factor t(k).
2*k**2*(k + 2)/9
Let u(t) be the second derivative of t**7/357 + 7*t**6/255 + 8*t**5/85 + 2*t**4/17 - 50*t. Factor u(g).
2*g**2*(g + 2)**2*(g + 3)/17
Let q be ((-1)/3)/((-4833)/(-162) - 30). Factor 8 - 116/3*k + 12*k**q.
4*(k - 3)*(9*k - 2)/3
Let z(t) be the third derivative of 0*t**3 - 3/8*t**6 - 5/12*t**4 + 13*t**2 + 0 - 7/12*t**5 - 5/42*t**7 + 0*t - 5/336*t**8. Factor z(d).
-5*d*(d + 1)**3*(d + 2)
Let g(r) = 2*r**2 - r**2 + 21*r + 65 + 0*r**2 - 23. Let b be g(-19). Factor -b*q**4 - 4/3 - 6*q - 32/3*q**2 - 28/3*q**3 - 2/3*q**5.
-2*(q + 1)**4*(q + 2)/3
Suppose -2*x - 44 = 5*n, 20 = -x + n - 3*n. Let c be (-20)/6*x/8. Suppose 0*l - 8/5*l**3 - 8/5*l**2 + 2/5*l**c + 0 + 2/5*l**4 = 0. Calculate l.
-2, -1, 0, 2
Let t(q) be the second derivative of 121*q**5/5 + 1045*q**4/3 - 784*q**3/3 + 72*q**2 - 4*q - 3. Determine o so that t(o) = 0.
-9, 2/11
Let m be (12936/(-238))/22 - -10. Determine u, given that m - 32/17*u + 2/17*u**2 = 0.
8
Let v(z) be the first derivative of -6*z + 0*z**2 - 2/3*z**3 - 1/6*z**4 + 1. Let b(q) be the first derivative of v(q). Let b(m) = 0. Calculate m.
-2, 0
Let r(x) be the first derivative of 54*x**5/85 + 513*x**4/34 - 354*x**3/17 + 179*x**2/17 - 40*x/17 + 307. Suppose r(a) = 0. What is a?
-20, 1/3
Let b(q) = -28*q**2 - 105*q + 300. Let p(d) = -15*d**2 - 51*d + 150. Let f(o) = 6*b(o) - 11*p(o). Solve f(x) = 0 for x.
-25, 2
Let s(k) be the first derivative of -k**3/10 - 73*k**2/20 + 5*k - 26. What is w in s(w) = 0?
-25, 2/3
Let x(a) = -2*a**2 - 16*a + 168. Let h be x(6). What is f in 0*f + h - 20/3*f**4 - 5/2*f**5 + 0*f**2 - 10/3*f**3 = 0?
-2, -2/3, 0
Suppose x - 6*i - 34 = -3*i, -3*i = -5*x + 146. Let b = 30 - x. Solve 0*r**3 + b*r**2 + 4*r**3 - 2*r**2 - 4*r = 0.
-1, 0, 1
Let w(n) be the first derivative of 1/1620*n**6 + 4/3*n**3 - 3 + 1/12*n**4 + 0*n**2 + 0*n + 1/90*n**5. Let s(q) be the third derivative of w(q). Factor s(c).
2*(c + 3)**2/9
Solve -6/23*l + 2/23*l**5 + 0 + 4/23*l**3 + 8/23*l**2 - 8/23*l**4 = 0.
-1, 0, 1, 3
Let g = 6448/3 + -2148. Factor 4/3*j**3 + 0 + 8/3*j**2 + g*j.
4*j*(j + 1)**2/3
Factor 1/4*o**4 + 0*o**2 + 39/4*o**3 + 0*o + 0.
o**3*(o + 39)/4
Let u(s) = s**2 + 9*s + 5. Let c be u(-7). Let t = -5 - c. Let 5*h + 8*h**2 - 7*h**4 - h**4 - h - t*h**5 = 0. Calculate h.
-1, 0, 1
Let k(c) = -7*c**5 - 35*c**4 + 4*c**3 + 35*c**2 - 3*c + 3. Let w(q) = -13*q**5 - 69*q**4 + 8*q**3 + 69*q**2 - 5*q + 5. Let f(o) = 5*k(o) - 3*w(o). Factor f(m).
4*m**2*(m - 1)*(m + 1)*(m + 8)
Let x be 5 + 2*-2*3/12. Let u(z) be the third derivative of 0 + x*z**2 + 0*z**5 + 1/210*z**7 - 1/120*z**6 + 0*z**4 + 0*z**3 + 0*z. Solve u(v) = 0 for v.
0, 1
Let a be (3 - 8/4)*4. Let s be a/(-3)*24/(-160). Solve -s*n**3 + 1/5 - 1/5*n**2 + 1/5*n = 0.
-1, 1
Suppose 26*x + 3/2*x**3 - 1/2*x**5 - 12 + 2*x**4 - 17*x**2 = 0. What is x?
-3, 1, 2
Let s(q) = -9*q**3 - 61*q**2 - 329*q + 420. Let c(o) = 4*o**3 + 30*o**2 + 165*o - 208. Let u(x) = -7*c(x) - 3*s(x). Factor u(z).
-(z - 1)*(z + 14)**2
Let i be -2 + (-4)/((-4)/5). Factor 47*t**3 - 15*t - 2 + 12 - 18*t**i - 24*t**3.
5*(t - 1)**2*(t + 2)
Let u(x) be the first derivative of x**6/27 - 98*x**5/45 + 383*x**4/9 - 6460*x**3/27 - 8959*x**2/9 - 9826*x/9 - 107. Suppose u(p) = 0. What is p?
-1, 17
Let n(g) be the first derivative of -g**5/10 - g**4/8 + 2*g**3/3 + g**2 - 15. Determine k so that n(k) = 0.
-2, -1, 0, 2
Let p(u) be the third derivative of 0 + 0*u - 4/3*u**3 - 1/30*u**5 + 1/3*u**4 - 9*u**2. Factor p(x).
-2*(x - 2)**2
Let w = -15 + 17. Suppose h + 4 = -u + w, -u - 4*h = 14. Find r, given that 8*r - 4 - 8*r**3 + 2*r**u + 3*r**4 - 6*r**4 - 9*r**4 + 14*r**2 = 0.
-1, 1/3, 1
Let s(l) be the third derivative of l**7/735 - l**6/6 + 35*l**5/6 + 78*l**2 