 + 1)**2*(7*f - 2)
Factor 3*a**2 - 5/2*a + 3/4 - 3/2*a**3 + 1/4*a**4.
(a - 3)*(a - 1)**3/4
Let k = 5 + -3. Suppose 15 = -k*v + 7*v. Solve p + p - 5*p + 1 - p**3 + v*p**2 = 0 for p.
1
Determine g so that 12/7*g + 4/7*g**2 - 16/7 = 0.
-4, 1
Let b(v) = -v**5 - v**4 - v. Let l(u) = u**5 - 7*u**4 - u**3 + 5*u**2 - 4*u. Let c(a) = -2*b(a) + l(a). Factor c(n).
n*(n - 1)**2*(n + 1)*(3*n - 2)
Let d be 2/(-6) - 38/(-6). Let x(r) be the third derivative of 1/24*r**4 + 1/120*r**d + 0 - 2*r**2 + 0*r - 1/30*r**5 + 0*r**3. Let x(c) = 0. Calculate c.
0, 1
Let d(t) be the first derivative of -t**8/10920 + t**6/780 + t**5/390 - t**3 - 6. Let f(b) be the third derivative of d(b). Determine x, given that f(x) = 0.
-1, 0, 2
Let q = 64 + -62. Factor -2/7*h + 0 + 2/7*h**q.
2*h*(h - 1)/7
Let p(v) be the first derivative of -2*v - 2/3*v**2 - 1/36*v**4 + 2/9*v**3 + 2. Let j(m) be the first derivative of p(m). Let j(y) = 0. Calculate y.
2
Suppose 3*v = -4*j + 42, 3*v + 28 = 4*j - v. Let s = j - 9. Factor 1/5*c**2 + s - 1/5*c**3 + 0*c.
-c**2*(c - 1)/5
Let 16*h**4 - 4*h + 4*h**3 + 15*h**2 - 53*h**2 + 22*h**2 = 0. Calculate h.
-1, -1/4, 0, 1
Suppose -6*z = -z - 20. Factor 10 - 2*j**3 + 2*j**4 - z*j**2 - 10.
2*j**2*(j - 2)*(j + 1)
Let j be (-8)/(-40) - (-94)/5. Factor 4*x**3 - 17*x**2 - 64 + j*x**2 + 26*x**2 + 32*x.
4*(x - 1)*(x + 4)**2
Let c(k) be the second derivative of k**7/1260 - k**6/180 + k**5/60 - k**4/6 + 2*k. Let y(p) be the third derivative of c(p). Suppose y(w) = 0. What is w?
1
Factor 1 + 59*h - 3*h**3 - 6*h**2 + 17 - 44*h.
-3*(h - 2)*(h + 1)*(h + 3)
Let p(c) be the first derivative of -c**6/360 - c**5/30 - c**4/6 + 2*c**3/3 + 3. Let n(r) be the third derivative of p(r). Factor n(b).
-(b + 2)**2
Let u(c) be the first derivative of c**4/18 - c**3/3 + 2*c**2/3 + c - 2. Let l(h) be the first derivative of u(h). Factor l(p).
2*(p - 2)*(p - 1)/3
Let w = -169 - -172. Find m, given that 1/3 - 1/3*m**2 - 1/3*m**w + 1/3*m = 0.
-1, 1
Let c = -266 + 7981/30. Let p(w) be the second derivative of 2*w + 1/75*w**6 + 0*w**2 - c*w**4 + 1/15*w**3 - 1/50*w**5 + 0. Factor p(i).
2*i*(i - 1)**2*(i + 1)/5
Let s(q) = -5*q**3 - q**2 + 3*q + 5. Suppose -j = -4*j + 33. Let p(r) = 26*r**3 + 4*r**2 - 15*r - 26. Let l(t) = j*s(t) + 2*p(t). Factor l(v).
-3*(v - 1)*(v + 1)**2
Let c(d) = -4*d**3 + 3*d. Let o = -25 - -39. Let a(f) = 9*f**3 - 7*f. Let y(m) = o*c(m) + 6*a(m). Factor y(p).
-2*p**3
Let f(z) = 128*z**2 - 41*z - 3. Let g(a) = a**2 + a - 1. Let q(c) = 2*f(c) - 10*g(c). Let w(b) = -245*b**2 + 91*b - 5. Let j(x) = -3*q(x) - 4*w(x). Factor j(m).
2*(11*m - 2)**2
Let b(j) be the second derivative of j**7/63 - j**6/15 + j**5/15 + j**4/9 - j**3/3 + j**2/3 + 7*j. Factor b(d).
2*(d - 1)**4*(d + 1)/3
Let y be 14/(-3)*(-6)/10. Let d be 4/10 + (-102)/(-30) + -3. Suppose 0 - d*v + y*v**2 = 0. What is v?
0, 2/7
Suppose -2*s = s - 9. Suppose -2*f - 2*f + s*f + 1 + 3*f + f**2 = 0. What is f?
-1
Let l = 748 + -1491/2. Factor 1/6*h**3 + 3/2 + l*h + 7/6*h**2.
(h + 1)*(h + 3)**2/6
Let m(w) be the second derivative of -w**8/224 - w**7/105 - w**6/240 - w**2/2 - 3*w. Let t(j) be the first derivative of m(j). Factor t(o).
-o**3*(o + 1)*(3*o + 1)/2
Let y be (44/5)/(144/120). Find x such that -y*x - 4/3 - 6*x**2 = 0.
-1, -2/9
Let v(m) = 5*m**3 + 7*m**2 - 3*m. Let b(n) = 14*n**3 + 20*n**2 - 8*n. Let p(d) = -3*b(d) + 8*v(d). Factor p(w).
-2*w**2*(w + 2)
Let k be 362/240*(-12)/(-18) + -1. Let p(o) be the third derivative of 1/180*o**5 + 0*o**4 + 2*o**2 + 1/630*o**7 + 0 + 0*o + 0*o**3 - k*o**6. Factor p(w).
w**2*(w - 1)**2/3
Let r(c) be the second derivative of -c**5/20 - 5*c**4/12 + 4*c**3/3 + 6*c**2 - 4*c. Let n be r(-6). Factor n - 1/2*a**3 + 0*a**2 + 0*a.
-a**3/2
Let w = 467/140 - 23/7. Let r(h) be the second derivative of 0*h**2 + 1/126*h**7 + w*h**5 + 1/30*h**6 + 1/36*h**4 - 4*h + 0 + 0*h**3. Find o such that r(o) = 0.
-1, 0
Let n(g) be the first derivative of -4*g**3/3 + 10*g**2 - 16*g + 36. Factor n(z).
-4*(z - 4)*(z - 1)
Let m(z) be the second derivative of -z**7/420 + z**6/300 + z**5/50 - z**4/30 + 7*z - 1. Solve m(u) = 0 for u.
-2, 0, 1, 2
Let q(s) be the first derivative of 0*s**2 + 1 + 0*s - 2/21*s**3 + 2/35*s**5 + 0*s**4. Factor q(m).
2*m**2*(m - 1)*(m + 1)/7
Suppose -2*i - i + 12 = 0. Factor 2*d**3 - 4*d**3 + d + d**3 - 3*d**2 + 2*d**2 + d**i.
d*(d - 1)**2*(d + 1)
Let f(v) be the second derivative of -v**6/15 + v**5/10 + v**4/6 - v**3/3 - 8*v + 1. Find q such that f(q) = 0.
-1, 0, 1
Let b = 367/273 + -1/91. Suppose 2/3 + 2/3*f**4 - 2/3*f + b*f**3 - 2/3*f**5 - 4/3*f**2 = 0. What is f?
-1, 1
Let c(g) be the second derivative of -g**6/60 + g**5/40 + g**4/12 - 12*g. Factor c(b).
-b**2*(b - 2)*(b + 1)/2
Let i be (-26)/(-169) - 2/13. Let o(c) be the second derivative of 0*c**2 + i + 1/18*c**4 - 2*c - 1/9*c**3. Factor o(a).
2*a*(a - 1)/3
Let f(m) be the first derivative of 1 + 0*m**3 + 0*m + 0*m**4 + 2/35*m**5 + 0*m**2. Factor f(u).
2*u**4/7
Let g(c) be the first derivative of c**4/24 - c**2/12 + 8. Let g(q) = 0. What is q?
-1, 0, 1
Let n(j) = -j - 5. Suppose 4*o = 3*h - 6*h - 38, -3*h - 14 = o. Let b be n(o). Factor -v**2 - b*v**2 + v**3 + 3*v - 1 + v**2.
(v - 1)**3
Let n(i) be the first derivative of -1/12*i**3 + 2 + 0*i**4 + 2*i + 0*i**2 + 1/40*i**5. Let b(g) be the first derivative of n(g). Suppose b(t) = 0. What is t?
-1, 0, 1
Let o(m) be the third derivative of -m**7/1680 + m**6/480 - m**5/480 + 3*m**2. Find l such that o(l) = 0.
0, 1
Let w(p) be the third derivative of p**7/6300 - p**6/1350 + p**5/900 - 5*p**3/6 + 8*p**2. Let c(x) be the first derivative of w(x). Factor c(t).
2*t*(t - 1)**2/15
Factor -4/5*d**3 + 4/5*d**4 - 12/5*d**2 - 8/5 + 4*d.
4*(d - 1)**3*(d + 2)/5
Let p(f) be the third derivative of f**6/420 - f**5/210 + f**2. Suppose p(n) = 0. What is n?
0, 1
Suppose 2*n + 3*q + 236 = -3*n, 0 = 3*q + 6. Let p be (-3)/7 - n/42. Let p - 1/3*a**3 - a - 3*a**2 + a**4 = 0. Calculate a.
-1, 1/3, 2
Solve 0 - 6/5*f**2 + 9/5*f - 3/5*f**3 = 0.
-3, 0, 1
Suppose -5*o + 34 = -1. Let g(z) = z**3 - 6*z**2 - 6*z - 3. Let m be g(o). Determine t, given that -4 + m*t + 7*t**2 - 4*t**2 - 4*t**2 = 0.
2
Let q(x) = 18*x + 417. Let v be q(-23). Let -6/5*i**2 + 1/5*i**v + 12/5*i - 8/5 = 0. Calculate i.
2
Let y(v) be the third derivative of 1/80*v**5 - 2*v**2 + 0*v**3 + 1/840*v**7 - 1/160*v**6 - 1/96*v**4 + 0 + 0*v. Solve y(t) = 0 for t.
0, 1
Let f be 1 - 4/8*-2. Let o(r) be the second derivative of -r - 2/7*r**f + 1/21*r**3 + 0 + 1/42*r**4. Let o(l) = 0. Calculate l.
-2, 1
Solve 5*y**3 - 10*y**4 + 3*y**3 - 2*y**2 - y**5 + 5*y**5 + 0*y**3 = 0.
0, 1/2, 1
Let l = -433/3 + 145. Factor -2/9*d**2 - 4/9 - l*d.
-2*(d + 1)*(d + 2)/9
Let x(n) be the first derivative of -n**7/210 + n**5/30 - n**3/6 - 3*n**2/2 + 1. Let s(d) be the second derivative of x(d). Solve s(t) = 0 for t.
-1, 1
Let s(p) = 2*p - 5. Let g be s(8). Suppose -4*v + x = -g, -3*v + 2*v + 4 = x. What is t in -2 + 3 - t**3 - 7*t + 4*t + v*t**2 = 0?
1
Let c(p) be the third derivative of -5*p**8/336 + p**7/21 + p**6/12 - 2*p**5/3 + 35*p**4/24 - 5*p**3/3 - 5*p**2. Factor c(v).
-5*(v - 1)**4*(v + 2)
Let u(b) be the first derivative of 2*b**3/3 + 3*b**2/2 - 2*b - 6. Find i such that u(i) = 0.
-2, 1/2
Factor 8*f**2 - 4*f**3 + 2*f**3 + 5*f**3 + 8*f - f**3.
2*f*(f + 2)**2
Let n(c) be the second derivative of -c**5/20 + 2*c**4/3 - 7*c**3/6 + 3*c**2/2 - 2*c. Let v be n(7). Factor -4*j**3 - v*j**2 + 3*j**3 - j**4 + 3*j**2.
-j**3*(j + 1)
Let p(l) be the second derivative of 0*l**2 - 1/6*l**4 - 3*l + 0 - 1/15*l**3. Factor p(y).
-2*y*(5*y + 1)/5
Factor -30 - 17 - 5*s**2 + 81 - 14.
-5*(s - 2)*(s + 2)
Let m(i) be the third derivative of -i**6/240 - i**5/120 + 6*i**2. Factor m(d).
-d**2*(d + 1)/2
Let z = 135 - 2429/18. Let x(y) be the second derivative of 1/3*y**3 - z*y**4 + 3*y + 0 - 2/3*y**2. Find c, given that x(c) = 0.
1, 2
Let l(t) = -t**2 - 6*t + 7. Let k be l(-7). Solve k + 0*o**2 - 1/3*o**3 + 1/3*o = 0.
-1, 0, 1
Let k(f) be the third derivative of f**5/60 - f**4/3 - 10*f**3/3 - f**2 + 26. Determine j, given that k(j) = 0.
-2, 10
Let o be 1/4 + (-28)/(-16) + 1. Let t = 5339/11 + -485. Factor -t*z - 2/11*z**o + 6/11*z**2 + 0.
-2*z*(z - 2)*(z - 1)/11
Let z(u) be the second derivative of u**7/210 + u**6/15 + 2*u**5/5 + 4*u**4/3 - 4*u**3/3 + 2*u. Let r(x) be the second deriv