= -1/148 - -595/444. Let u = -1 + 1. Factor -2/3*t**2 + u - y*t.
-2*t*(t + 2)/3
Let l = 31 - 152/5. Let q(n) be the first derivative of 3*n - l*n**5 - 3*n**2 + 2 + 3/2*n**4 + 0*n**3. Find m such that q(m) = 0.
-1, 1
Factor -1/3*p**5 + 0*p + 0 - 2/3*p**2 + 0*p**4 + p**3.
-p**2*(p - 1)**2*(p + 2)/3
Let v(x) = 3*x + 11. Let o be v(-3). Factor -2/13*b**o + 2/13*b + 4/13.
-2*(b - 2)*(b + 1)/13
Let b(r) be the second derivative of 1/3*r**4 + r**2 - 5/6*r**3 - 1/20*r**5 + 0 + 2*r. Determine h so that b(h) = 0.
1, 2
Let s(w) = -4*w**4 + 4*w**3 + 12*w**2 + 8*w. Let g(o) = 4*o**4 - 3*o**3 - 12*o**2 - 8*o. Let m(k) = -4*g(k) - 3*s(k). Find x such that m(x) = 0.
-1, 0, 2
Let d(s) be the second derivative of s**8/30240 - s**7/11340 - s**4/4 + 5*s. Let k(h) be the third derivative of d(h). Find f, given that k(f) = 0.
0, 1
Let u = -22 + 24. Let d(l) be the second derivative of -1/4*l**4 - 1/2*l**2 + 0 + 1/20*l**5 - u*l + 1/2*l**3. Suppose d(c) = 0. What is c?
1
Let f(l) be the second derivative of -l**4/3 + 8*l**2 - 26*l. Solve f(q) = 0 for q.
-2, 2
Let g(c) be the third derivative of 2*c**7/147 + 3*c**6/35 + 4*c**5/35 - 4*c**4/21 + 21*c**2. Factor g(t).
4*t*(t + 2)**2*(5*t - 2)/7
Let b(o) be the first derivative of 3 - o + 0*o**3 + 0*o**2 - 1/12*o**4. Let i(q) be the first derivative of b(q). Factor i(f).
-f**2
Factor -706 + 31 + 1622*n**2 + 90*n - 1625*n**2.
-3*(n - 15)**2
Let r(s) = 6*s**3 + 5*s**2 - 13*s + 17. Let g(z) = 9*z**3 + 7*z**2 - 20*z + 25. Let j(n) = -5*g(n) + 7*r(n). Factor j(f).
-3*(f - 1)**2*(f + 2)
Suppose -9*c = -2*c. Let 6/11*u**2 + c + 2/11*u = 0. Calculate u.
-1/3, 0
Let o be (11/12 + -1)*(-18)/2. Suppose 0*g**3 - 1/2*g + 1/4*g**4 + 0 - o*g**2 = 0. What is g?
-1, 0, 2
Let y(n) be the second derivative of -n**6/10 + 3*n**4/4 - n**3 + 54*n. Factor y(t).
-3*t*(t - 1)**2*(t + 2)
Let y(g) be the first derivative of g**5/150 + g**4/10 + 3*g**3/5 + 4*g**2 - 8. Let r(u) be the second derivative of y(u). What is p in r(p) = 0?
-3
Suppose 4*z - 3*p = 12, 2*z + 3*p + 12 = -3*z. Determine o, given that z*o - 2/3*o**4 - 2/3*o**2 + 0 + 4/3*o**3 = 0.
0, 1
Let n be (-8)/(-3) - (-4)/(-6). Let l = -49/2 - -25. Factor -l*v**n + 0*v + 0.
-v**2/2
Let r(g) = g**2 + 1. Let b be r(-1). Let c(x) be the third derivative of 0*x - 8/3*x**3 + 0 - 1/5*x**5 - x**b - 1/60*x**6 - x**4. Suppose c(a) = 0. What is a?
-2
Let j(h) be the third derivative of h**8/84 - h**7/105 + h**6/480 - 8*h**2. Suppose j(t) = 0. Calculate t.
0, 1/4
Determine q, given that -24*q**2 + 57*q**2 + 16*q + 16 - 29*q**2 = 0.
-2
Suppose -10 + 3 = -2*t + 3*o, -5 = 5*o. Factor 2/5*k**t + 2/5*k**3 - 2/5 - 2/5*k.
2*(k - 1)*(k + 1)**2/5
Let y = 27 - 27. Let f(j) be the third derivative of 1/420*j**6 + 1/84*j**4 + y*j**3 - 2*j**2 + 0*j + 1/105*j**5 + 0. Suppose f(r) = 0. What is r?
-1, 0
Let i(f) be the third derivative of f**6/480 - f**5/240 - 11*f**2. Factor i(p).
p**2*(p - 1)/4
Suppose 2 = 4*s - 3*s. Suppose 2*l = 3*m + 2, 0 = -m + 2*m + 4*l - 18. Suppose -9*z**3 + 17*z**3 - 13*z**2 - m - s*z**4 + 8*z + z**2 = 0. What is z?
1
Let p(y) be the third derivative of y**10/10080 - y**8/2240 - y**4/12 - 6*y**2. Let i(r) be the second derivative of p(r). Determine k, given that i(k) = 0.
-1, 0, 1
Let p = 272 + -270. Determine w so that 0 + 3/2*w**4 + 9/2*w**3 + 3/2*w + 9/2*w**p = 0.
-1, 0
Let w = -7/15 + 8/15. Let r(b) be the second derivative of 0*b**5 + 0 - w*b**4 - 1/105*b**7 + 2/75*b**6 + 0*b**2 + 1/15*b**3 + 2*b. Factor r(i).
-2*i*(i - 1)**3*(i + 1)/5
Factor -6/5*c - 2/5*c**3 - 6/5*c**2 - 2/5.
-2*(c + 1)**3/5
Let f(a) = -2*a**5 - 3*a**4 + 5*a**2 - 3*a. Let m(s) = 3*s**5 + 5*s**4 + s**3 - 9*s**2 + 5*s. Let o(c) = -5*f(c) - 3*m(c). Find r, given that o(r) = 0.
-2, 0, 1
Let r(z) be the second derivative of z**8/3360 - z**7/630 + z**6/360 + z**4/12 + 2*z. Let t(g) be the third derivative of r(g). Find j such that t(j) = 0.
0, 1
Find y such that -4/5*y**5 + 0*y + 0*y**2 + 0 + y**4 - 1/5*y**3 = 0.
0, 1/4, 1
Factor 23*f - 7*f**2 + 4*f**2 + 18 + 39*f - 47*f.
-3*(f - 6)*(f + 1)
Factor -8/3*d**3 + 4/3*d**4 + 0 - 4/3*d**2 + 8/3*d.
4*d*(d - 2)*(d - 1)*(d + 1)/3
Let s(f) be the third derivative of f**6/540 - f**5/60 + f**4/18 + f**3/6 + 5*f**2. Let u(n) be the first derivative of s(n). Factor u(w).
2*(w - 2)*(w - 1)/3
Let p(w) be the third derivative of 3*w**6/380 - 17*w**5/285 + w**4/12 + 2*w**3/19 + 2*w**2 + 14. Factor p(y).
2*(y - 3)*(y - 1)*(9*y + 2)/19
Let m be (8/(-7))/(6/(-21)). Let s(j) be the third derivative of 2*j**2 - 1/420*j**6 + 0 + 0*j**5 + 0*j + 2/21*j**3 + 1/28*j**m. Factor s(p).
-2*(p - 2)*(p + 1)**2/7
Suppose -8/13*t + 0*t**2 + 6/13*t**3 + 0 + 2/13*t**4 = 0. What is t?
-2, 0, 1
Suppose 7*j = -1484 + 1505. Let t be 14/6 - 4/6. Factor -8/3*o - 1/3*o**j + t*o**2 + 4/3.
-(o - 2)**2*(o - 1)/3
Let r(w) = -w. Let h(u) = u - 8. Let g(d) = -h(d) - 2*r(d). Let i be g(-6). Factor -1/2*x**i + 0 + x.
-x*(x - 2)/2
Let u(r) be the second derivative of -3*r**5/20 - 4*r**4/7 - 11*r**3/14 - 3*r**2/7 + 14*r. Suppose u(o) = 0. What is o?
-1, -2/7
Let k(q) be the first derivative of -q**6/90 - q**5/30 - q**4/36 + 6*q + 2. Let r(o) be the first derivative of k(o). Factor r(y).
-y**2*(y + 1)**2/3
Let t(k) be the second derivative of -k**6/60 + k**5/10 - k**4/8 - k**3/3 + k**2 + 8*k. Factor t(f).
-(f - 2)**2*(f - 1)*(f + 1)/2
Let q(x) be the third derivative of 0*x + 0 - x**2 - 1/21*x**3 - 1/210*x**5 - 1/42*x**4. Let q(v) = 0. Calculate v.
-1
Let v(c) be the second derivative of c**6/70 - 9*c**5/70 + 5*c**4/28 + 24*c. Factor v(b).
3*b**2*(b - 5)*(b - 1)/7
Let s be 1/6*(-420)/(-35). Determine o so that 24/5*o - 4/5*o**s + 2/5*o**4 + 18/5 - 8/5*o**3 = 0.
-1, 3
Let g be (-2)/20*(-90)/36. Let i(r) be the first derivative of -g*r**2 - 1/6*r**3 - 2 + r. Determine w, given that i(w) = 0.
-2, 1
Let a(c) be the second derivative of c**5/10 - 37*c**4/30 + 64*c**3/15 - 4*c**2 - 34*c. Factor a(w).
2*(w - 5)*(w - 2)*(5*w - 2)/5
Let s = -7 - -9. Let z be s + 0 + (-7)/4. Solve z - 1/2*p + 1/4*p**2 = 0 for p.
1
Determine a, given that -8/19 - 2/19*a + 2/19*a**3 + 8/19*a**2 = 0.
-4, -1, 1
Let k be (-24)/(-10) + (-8)/20. Suppose -3*s - o + 39 = -k*o, 15 = -5*o. Factor r - s*r**2 + 0*r + 11*r**2.
-r*(r - 1)
Let o = -6 + 8. Suppose -5*x = -5*z + 20, -z + o = -2*x - 1. Solve 2/7*h**2 + 0*h + 6/7*h**3 - 8/7*h**z + 0*h**4 + 0 = 0 for h.
-1/2, 0, 1
Let o be (-27)/(-1) - 6/2. Let t be 8/(-3)*(-126)/o. Factor -3*x**2 + 8*x + 6 - t + x**2.
-2*(x - 2)**2
Let b(k) be the first derivative of 2/27*k**3 - 1 - 2/9*k + 0*k**2. Factor b(y).
2*(y - 1)*(y + 1)/9
Let l(g) be the second derivative of -1/12*g**2 - 1/18*g**3 - 1/72*g**4 - 5*g + 0. Factor l(b).
-(b + 1)**2/6
Let x(l) be the second derivative of l**4/84 + l**3/21 - 17*l. Factor x(m).
m*(m + 2)/7
Let y(r) be the first derivative of -7*r**5/5 + 2*r**3/3 - 5*r + 2. Let b(o) = -4*o**4 + o**2 - 3. Let c(a) = -10*b(a) + 6*y(a). Factor c(h).
-2*h**2*(h - 1)*(h + 1)
What is x in -4/3*x - 2/3 - 2/3*x**2 = 0?
-1
Suppose -22*d + 9 = -19*d. Suppose 0 = v + 2*v - 9. Factor 6*s**4 - 7*s**3 + 2*s**d - v*s**3 + 2*s**2.
2*s**2*(s - 1)*(3*s - 1)
Factor 0*q + 5/4*q**4 + 7/4*q**3 + 1/4*q**5 + 0 + 3/4*q**2.
q**2*(q + 1)**2*(q + 3)/4
Let x(q) be the third derivative of -9*q**7/350 + 3*q**6/100 + 11*q**5/100 - q**4/10 - 2*q**3/5 - 3*q**2. Factor x(v).
-3*(v - 1)**2*(3*v + 2)**2/5
Let j(s) be the third derivative of s**6/1080 + s**5/540 - 4*s**2. What is x in j(x) = 0?
-1, 0
Suppose -10*c + 4 = -6*c - 2*k, 2*c + 10 = 4*k. Suppose 0 + 4/11*w**2 + 2/11*w + 2/11*w**c = 0. What is w?
-1, 0
Let s(v) = 10*v**2 + 7*v - 10. Let h(o) = -3*o**2 - 2*o + 3. Let g = 14 + -21. Let n(a) = g*h(a) - 2*s(a). Suppose n(t) = 0. Calculate t.
-1, 1
Suppose 0 = 101*z - 98*z - 12. What is f in -4/11*f**3 + 4/11 + 2/11*f**5 + 16/11*f**2 - 14/11*f - 4/11*f**z = 0?
-2, 1
Let d(i) = i**5 - i**4 + i**2 + 1. Let u(v) = -8*v**5 + 16*v**4 + 2*v**3 - 11*v**2 - 11. Let p(s) = 22*d(s) + 2*u(s). Determine r so that p(r) = 0.
-1, -2/3, 0
Let d be ((-15)/280)/(36/(-4)). Let m(k) be the third derivative of 0*k**5 + 0 + 0*k - d*k**8 - 1/60*k**6 + 0*k**3 + 0*k**4 + 2/105*k**7 - 3*k**2. Factor m(a).
-2*a**3*(a - 1)**2
Suppose 2*s + 15*s = 51. Determine d, given that 0*d**s + 0*d + 4/5*d**2 + 0 - 4/5*d**4 = 0.
-1, 0, 1
Let i = 126 - 126. Let w(f) be the se