*t**2.
-2*t*(t - 1)*(t + 1)*(t + 3)/3
Let i(x) be the third derivative of x**5/80 - x**4/32 - x**3/4 + 3*x**2. Factor i(z).
3*(z - 2)*(z + 1)/4
Let o(v) be the second derivative of -2*v + 2/15*v**6 - 1/8*v**2 - 1/10*v**5 - 5/16*v**4 + 0 + 1/3*v**3. Let o(h) = 0. What is h?
-1, 1/4, 1
Let f(x) be the first derivative of -12*x**5/5 + 33*x**4/4 - 5*x**3 - 3*x**2 + 16. What is s in f(s) = 0?
-1/4, 0, 1, 2
Let r = 7 + 1. Suppose -2 = 2*n - r. Suppose -2/11*u**5 + 0*u - 2/11*u**4 + 0 + 2/11*u**n + 2/11*u**2 = 0. What is u?
-1, 0, 1
Let s(d) be the second derivative of 0*d**3 + 1/60*d**5 - 2*d + 0 + 0*d**4 + 0*d**2 - 1/90*d**6. Suppose s(j) = 0. Calculate j.
0, 1
Let x(b) be the second derivative of -1/40*b**5 - 1/48*b**4 - 3*b + 0 + 0*b**3 + 1/40*b**6 + 0*b**2. Solve x(d) = 0 for d.
-1/3, 0, 1
Suppose -2*f + 5*z + 1 + 2 = 0, 7 = 2*f - z. Let m = -2 + f. Factor 6*k**2 - 7*k**2 + m*k**4 - 8*k**3 - 8*k + 2 + 13*k**2.
2*(k - 1)**4
Let f = -6 - -9. Factor w**2 - 7 + f*w**4 + 2*w**2 + 10 - 9*w**2.
3*(w - 1)**2*(w + 1)**2
Let b = -13 - -19. Let o(g) be the third derivative of 0 + 0*g**5 - 1/840*g**8 + 0*g**b + 0*g**3 - g**2 + 1/525*g**7 + 0*g + 0*g**4. Factor o(x).
-2*x**4*(x - 1)/5
Let y = 123 - 123. Let r(g) be the second derivative of -1/10*g**5 - 3*g + 0*g**4 + 0*g**3 + 0 + y*g**2. Suppose r(z) = 0. Calculate z.
0
Suppose 3/2*d**3 - 9/4*d**2 - 3 + 3/4*d**4 - 6*d = 0. Calculate d.
-2, -1, 2
Let u be ((-58)/(-145))/(1/(-15)). Let o be -5 + 5 - u/8. Solve -9/4*d**2 + o + 3/2*d = 0.
-1/3, 1
Let a(z) = -z**3 - 10*z**2 - 12*z + 73. Let o(h) = 1. Let q(w) = 3*a(w) - 3*o(w). Factor q(s).
-3*(s - 2)*(s + 6)**2
Let g be ((-4)/14)/(1/(-7)). Factor -2*d + d**4 - d**g - 3*d**4 + 0*d**4 + 3*d**2 + 2*d**3.
-2*d*(d - 1)**2*(d + 1)
Let y(j) be the second derivative of 0 + 0*j**5 - j - 1/8*j**3 + 1/56*j**7 - 1/20*j**6 + 0*j**2 + 1/8*j**4. Let y(o) = 0. Calculate o.
-1, 0, 1
Let o(v) be the first derivative of v**8/3360 - v**7/840 + v**6/720 - v**3 - 3. Let w(g) be the third derivative of o(g). Factor w(t).
t**2*(t - 1)**2/2
Let k = -51 - -49. Let w be 1 + (-4)/(-8)*k. What is f in 1/2*f**2 + w - 1/2*f**3 + 0*f = 0?
0, 1
Let l(o) be the second derivative of o**7/2100 + 7*o**6/1800 + o**5/150 - o**4/12 - 6*o. Let n(h) be the third derivative of l(h). Factor n(m).
2*(m + 2)*(3*m + 1)/5
Solve -6/5*v + 2/5*v**2 + 0 = 0 for v.
0, 3
Suppose q - 2 = -2*q - 5*x, x = -2*q + 6. Let c(v) be the third derivative of -2*v**2 + 1/12*v**q + 0*v**3 - 1/12*v**5 + 0*v + 0. Factor c(i).
-i*(5*i - 2)
Let y(t) = t**2 + t. Let l(f) = 3*f**2 - 2*f - 9. Let g(v) = v**3 + 3*v**2 + 4*v + 3. Let n be g(-2). Let a(o) = n*l(o) + 4*y(o). What is p in a(p) = 0?
-3
Let q be 1/2 - (-9)/6. Let t be (-16)/(28/(-8) + q). What is n in -t*n**2 - 14/3*n**3 - 22/3*n - 4/3 = 0?
-1, -2/7
Let f be 14/(-35) + 2/20*4. Suppose 1/3*w + 2/3*w**4 - 2/3*w**2 + 0*w**3 - 1/3*w**5 + f = 0. What is w?
-1, 0, 1
Let a(j) be the third derivative of 0*j + 0*j**4 + 0 - j**2 + 0*j**5 - 1/540*j**6 + 0*j**3. Factor a(c).
-2*c**3/9
Let j = 30 - 28. Factor 0 - 2/5*s**j + 2/5*s.
-2*s*(s - 1)/5
Suppose 16*x**2 + 2*x**5 + 0*x + 4*x**5 - 8*x**4 + 4*x - 8 - 2*x**5 - 8*x**3 = 0. What is x?
-1, 1, 2
Let f be -8*(5/2)/(-5). Suppose f*m + 2 = -3*h + 6, 3*h + 2 = 2*m. Suppose 2/7 + h*c - 2/7*c**2 = 0. Calculate c.
-1, 1
Find c such that 5*c**4 - 3*c**4 - 9*c + 7*c + 5*c**2 - 3*c**4 + c**5 - 3*c**3 = 0.
-2, 0, 1
Suppose 4*u + 40 = -u. Let q be (-2)/8 - 42/u. Factor -2*r - q*r + 3*r + 6*r**2.
2*r*(3*r - 2)
Let n(r) = 3*r**2 - r + 2. Let x be n(2). Let q = x - 4. Factor 15/2*j**2 + 2 + q*j.
(3*j + 2)*(5*j + 2)/2
Let p(h) = -h**2 + h + 1. Let d = 0 - -5. Suppose f + 4 = d*f. Let z(j) = -j**3 + 5*j**2 - 4*j - 3. Let w(c) = f*z(c) + 3*p(c). Factor w(m).
-m*(m - 1)**2
Let s(a) = -a**3 - 7*a**2 - a - 7. Let m be s(-7). Let b(j) = j. Let g be b(5). Solve 2/3*p + 2/3*p**g - 4/3*p**3 + 0 + m*p**4 + 0*p**2 = 0.
-1, 0, 1
Let s be 22/33 + (-14)/(-6). Factor -1/3*x**4 + 0 + 1/3*x**s + 0*x**2 + 0*x.
-x**3*(x - 1)/3
Let w be (-12)/(-9)*3/(-2). Let i be w/(-3) - 30/(-9). Factor -3 - 2*x**2 + 3 + 2*x**i.
2*x**2*(x - 1)*(x + 1)
Let m(c) be the third derivative of c**8/126 + c**7/105 - c**6/36 - c**5/30 + c**4/36 - 14*c**2. Solve m(j) = 0 for j.
-1, 0, 1/4, 1
Let n(o) = -74*o - 3. Let j be n(-2). Let f = -721/5 + j. What is u in 0 - 2/5*u**3 + 0*u - f*u**2 = 0?
-2, 0
Let z(g) = 6*g**2 + 177*g - 141. Let n(j) = -j**2 - 35*j + 28. Let u(y) = 21*n(y) + 4*z(y). Factor u(o).
3*(o - 8)*(o - 1)
Let d(u) be the second derivative of -u**4/36 + 2*u**3/9 - 2*u**2/3 - 9*u. Let d(c) = 0. What is c?
2
Let u(m) = 4*m**3 - m**2 - 20*m - 12. Let h(g) = -4*g**3 + 2*g**2 + 20*g + 12. Let k(n) = -3*h(n) - 2*u(n). What is x in k(x) = 0?
-1, 3
Suppose -5 = 3*u + 1. Let b be -2 - ((-6)/15 + u). Solve 16/5*p**4 + b*p**5 + 64/5*p**2 + 48/5*p**3 + 0 + 32/5*p = 0 for p.
-2, 0
Let h(b) be the third derivative of b**8/1344 - b**6/480 - 8*b**2. Factor h(a).
a**3*(a - 1)*(a + 1)/4
Let j(b) be the second derivative of -1/120*b**6 + 1/8*b**2 - 3*b - 1/12*b**3 + 0*b**4 + 1/40*b**5 + 0. Factor j(q).
-(q - 1)**3*(q + 1)/4
Let v = -5 - -10. Let s(w) = 2*w**3 - 3*w**2. Let j be s(2). Factor -2*x**4 + 4*x**2 - x + x**3 + v*x**4 - 2 - j*x**4 - x**2.
-(x - 2)*(x - 1)*(x + 1)**2
Determine j, given that -1/3*j + 2/3 - 1/3*j**2 = 0.
-2, 1
Let j be (-84)/(-35) - (51/15 + -3). Factor -23/5*t**j + 49/5*t**5 + 4/5 - 16/5*t + 67/5*t**3 + 119/5*t**4.
(t + 1)**3*(7*t - 2)**2/5
Suppose 2*i + 3*q - 18 = -6, -2*q + 8 = 5*i. Factor -2/7*v + i - 2/7*v**2.
-2*v*(v + 1)/7
Let r(u) = -u**2 + u + 1. Let p = -5 + 7. Let x(b) = 2*b**2 - 4*b - 1. Let a(h) = p*x(h) + 6*r(h). Factor a(z).
-2*(z - 1)*(z + 2)
Let w(g) = -g**3 + 3*g**2 + 5*g. Let k be w(4). Let l = -122/3 - -41. Solve 0*a**2 + 0*a - l*a**k + 0 + 1/3*a**3 = 0.
0, 1
Let k(w) be the third derivative of w**6/40 + w**5/20 + 2*w**2. Suppose k(g) = 0. Calculate g.
-1, 0
Let i(f) be the third derivative of f**5/300 + f**4/60 - 3*f**2 + 2. Factor i(x).
x*(x + 2)/5
Suppose 4*j = 4 - 0. Let d be (-1)/j + (-3 - -7). Find r such that 7 - 15*r - 3 + 20*r**d - 1 + 7*r**3 + 9*r**2 = 0.
-1, 1/3
Let m(v) be the second derivative of -v**4/54 + v**3/27 - 9*v. Let m(k) = 0. Calculate k.
0, 1
Let i be (2/(-12))/((-6)/16). Suppose -5*k = 10, 7*s - 8 = 5*s + 2*k. Factor -2/9*q**4 - 8/9 + 2/3*q**s + 8/9*q - i*q**3.
-2*(q - 1)**2*(q + 2)**2/9
Suppose 0 = -z + 1, -w = 3*z - z - 5. Factor -d**2 - 2*d + 2*d + d + 1 + 2*d**3 - 3*d**w.
-(d - 1)*(d + 1)**2
Let n(t) be the second derivative of 27*t**5/160 + 11*t**4/32 + t**3/8 - 2*t. Factor n(r).
3*r*(r + 1)*(9*r + 2)/8
Let m(b) be the third derivative of b**3 + 0 + 1/20*b**5 + 3/8*b**4 + 0*b - 4*b**2. Let m(l) = 0. What is l?
-2, -1
Let k(b) = b**3 - b**2 - b. Let x(a) = 18*a**3 + 52*a**2 + 57*a + 20. Let r(i) = 3*k(i) - x(i). Factor r(w).
-5*(w + 1)*(w + 2)*(3*w + 2)
Let n(r) be the third derivative of -r**6/420 + 2*r**5/105 - r**4/21 - 11*r**2. Solve n(s) = 0.
0, 2
Let w(t) be the third derivative of -t**9/60480 + t**7/10080 - t**4/24 - 2*t**2. Let x(s) be the second derivative of w(s). Determine f, given that x(f) = 0.
-1, 0, 1
Let z = 296059 + -72830395/246. Let m = z + 2/123. Determine x so that m*x**2 + 0*x + 1/2*x**3 + 0 = 0.
-1, 0
Let n(d) be the first derivative of -d**8/1848 + d**7/1155 + 2*d**2 + 5. Let t(o) be the second derivative of n(o). Suppose t(s) = 0. Calculate s.
0, 1
Suppose -2*a = a. Let g = 9/2 + -25/6. Factor a*q + 1/3 - g*q**2.
-(q - 1)*(q + 1)/3
Let z(w) be the second derivative of 29*w**5/15 - 2*w**4/9 + w. Suppose z(f) = 0. What is f?
0, 2/29
Let x(u) be the third derivative of -1/12*u**4 + 0*u**3 + 0 + 1/42*u**7 - 1/12*u**5 + 1/60*u**6 + 0*u - 3*u**2. Factor x(j).
j*(j - 1)*(j + 1)*(5*j + 2)
Let m = 177/10 + -33/2. Let j(b) = b**3. Let v be j(0). What is d in 2/5*d**4 - 4/5*d + v + 0*d**3 - m*d**2 = 0?
-1, 0, 2
Let y(h) be the third derivative of -h**7/105 + h**6/10 - 3*h**5/10 - h**2. Let y(g) = 0. Calculate g.
0, 3
Suppose -r = -2*r + 4. Let g be 67/13 - r/26. Find n, given that 4/5*n**2 - 6/5*n**3 - 1/5*n + 4/5*n**4 - 1/5*n**g + 0 = 0.
0, 1
Let o(u) be the third derivative of u**6/120 + u**5/60 + 4*u**2. Factor o(v).
v**2*(v + 1)
Let l(y) be the first derivative of 0*y + 1/5*y**2 + 3 - 2/15*y**3. Factor l(b).
