hat 1086*u**2 - 33120*u - 3709*u**3 - 3715*u**3 + 21600 + 7415*u**3 = 0.
2/3, 60
Suppose 5*p - p = 12. Suppose -2*u - p + 9 = 0. Factor 7*r - 3*r**2 - u*r**2 + 2*r**3 - r**2 - 2.
(r - 2)*(r - 1)*(2*r - 1)
Let r(i) be the second derivative of i**9/22680 - i**8/5040 + i**6/540 - i**5/180 - 5*i**4/6 - 7*i. Let l(n) be the third derivative of r(n). Factor l(f).
2*(f - 1)**3*(f + 1)/3
Let s(a) be the first derivative of 1056*a**6/5 - 23632*a**5/25 + 3741*a**4/5 - 1117*a**3/5 + 223*a**2/10 + 6*a/5 + 107. Find l, given that s(l) = 0.
-2/99, 1/4, 3
Let m = 317107/60 + -5285. Let b(j) be the third derivative of -m*j**5 + 0 + 5*j**2 - 1/3*j**3 + 0*j + 3/8*j**4. Let b(i) = 0. Calculate i.
2/7, 1
Let f(g) be the third derivative of -g**5/150 + g**4/10 - 2*g**2 + 66. Factor f(o).
-2*o*(o - 6)/5
Factor 0 - 4/9*h**2 + 32/9*h.
-4*h*(h - 8)/9
Let z = 3611/6 + -601. Let f(p) be the second derivative of -z*p**4 - 2/3*p**3 + 4*p + 0*p**2 + 7/10*p**5 + 0. Suppose f(w) = 0. What is w?
-2/7, 0, 1
Suppose 184*l**2 - 33*l**3 + 4*l**4 + 83 - 15*l**3 + 17 - 240*l = 0. What is l?
1, 5
Factor -2/13*j**2 - 42/13 - 44/13*j.
-2*(j + 1)*(j + 21)/13
Let h(g) be the third derivative of 11*g**6/180 + 142*g**5/45 - 349*g**4/36 + 6*g**3 + 2*g**2 - 45. Solve h(k) = 0 for k.
-27, 2/11, 1
Let k(z) = -8*z**2 + 6. Let t be k(-3). Let w = t + 66. Determine m, given that w + 2/5*m + 22/5*m**4 + 2/5*m**2 - 18/5*m**3 - 8/5*m**5 = 0.
-1/4, 0, 1
Let g = -78683 + 395518/5. Let t = 423 - g. Suppose 3/5*p**2 + 9/5 + t*p = 0. Calculate p.
-3, -1
Let u = -60/7 + 956/105. Let c be (-3)/3 - 17/(-15). Find l, given that 8/15*l - c*l**2 - u = 0.
2
Let m(c) = -c**3 + 13*c**2 - 16*c + 4. Let y be m(10). Factor y*u**4 - 15*u**2 - 70*u**4 + 3*u**3 - 71*u**4 + 9*u.
3*u*(u - 1)**2*(u + 3)
Let m(r) be the first derivative of -9/2*r**2 + 3*r**3 - 3/4*r**4 + 3*r + 15. Find v, given that m(v) = 0.
1
Let z = 1/688 + 147/17200. Let i(c) be the second derivative of -z*c**5 + 2*c + 0 + 4/5*c**2 - 1/30*c**4 + 2/15*c**3. Factor i(h).
-(h - 2)*(h + 2)**2/5
Let p(l) be the first derivative of -1/14*l**4 + 2/3*l**3 - 6/7*l**2 - 14 + 0*l. Let p(y) = 0. What is y?
0, 1, 6
Let s(r) be the third derivative of -r**8/2016 + r**7/360 - r**6/180 - 11*r**5/60 - 4*r**2. Let w(d) be the third derivative of s(d). Factor w(m).
-2*(m - 1)*(5*m - 2)
Let f(h) = 2*h**4 + h**3 - h + 4. Suppose 0 = -10*g - 31 + 1. Let u(a) = -a**4 - 3. Let k(n) = g*u(n) - 2*f(n). Factor k(l).
-(l - 1)*(l + 1)**3
Let c(w) be the second derivative of 1/4*w**4 + 0*w**2 - 2*w + 0 + 1/6*w**3 + 9/80*w**5. Let c(s) = 0. What is s?
-2/3, 0
Let d be -21*1/4 + (0 - 12/(-2)). Determine i, given that 0*i**2 + d*i - 1/4*i**3 + 1/2 = 0.
-1, 2
Let q(f) be the third derivative of -f**3 - 25*f**2 - 1/8*f**4 + 1/20*f**5 + 0 + 0*f. Factor q(h).
3*(h - 2)*(h + 1)
Let c(h) be the first derivative of 2*h**7/105 - h**6/15 - h**5/3 + h**4 + 16*h**2 + 30. Let l(t) be the second derivative of c(t). Find u, given that l(u) = 0.
-2, 0, 1, 3
Let g(q) be the third derivative of -q**6/120 + 3*q**5/20 - 5*q**4/6 + 2*q**3 - 9*q**2. Factor g(r).
-(r - 6)*(r - 2)*(r - 1)
Let y(i) = 15*i - 3. Let h be (2/(-4))/((-55)/10 - -5). Let k be y(h). Factor k*a**4 - 6*a**5 + 0*a - 15/2*a**3 + 0 + 3/2*a**2.
-3*a**2*(a - 1)*(2*a - 1)**2/2
Let h(r) be the first derivative of r**5/4 + 5*r**4/6 - 35*r**3/6 + 10*r**2 + 36*r - 22. Let g(m) be the first derivative of h(m). Determine d so that g(d) = 0.
-4, 1
Let u be (-31)/(-7) - (-4)/7. Let i be (4/u)/4*3. Factor -6/5 + 3/5*m**2 - i*m.
3*(m - 2)*(m + 1)/5
Let g(l) be the first derivative of -l**3/3 + 3*l**2 - 8*l - 38. Solve g(d) = 0.
2, 4
Let c(s) be the third derivative of 0*s**4 + 0 - 5*s**2 - 1/20*s**5 + 0*s + 1/200*s**6 + 0*s**3. Factor c(j).
3*j**2*(j - 5)/5
Suppose -9*a + 55 = 2*a. Suppose h - a + 5 = 0. Factor h + 4*d + 4/3*d**2.
4*d*(d + 3)/3
Let v(n) = n - 1. Let a(r) = 57*r**2 + 37*r + 17. Let h(f) = a(f) + 2*v(f). Let q(o) = 7*o**2 + 5*o + 2. Let k(b) = -4*h(b) + 33*q(b). Factor k(s).
3*(s + 1)*(s + 2)
Suppose -29*v - 28*v = 0. Let a(p) be the third derivative of -1/10*p**5 + 0*p + 0*p**4 + 0*p**3 - 1/40*p**6 + 2*p**2 + v. Factor a(y).
-3*y**2*(y + 2)
Let b(p) be the first derivative of -p**7/168 + 2*p**6/45 - p**5/40 + 17*p**3/3 - 29. Let q(d) be the third derivative of b(d). Factor q(i).
-i*(i - 3)*(5*i - 1)
Let a(k) be the second derivative of -k**4/48 - 13*k**3/24 + 7*k**2/4 + 41*k. Factor a(x).
-(x - 1)*(x + 14)/4
Suppose 0 = -3*l - 0*m - m - 3, -2*l + 15 = -5*m. Let b(n) be the second derivative of 3/2*n**2 + 1/8*n**4 + 3/4*n**3 - 3*n + l. Factor b(i).
3*(i + 1)*(i + 2)/2
Let g(u) be the first derivative of -u**4/6 - 10*u**3/9 + 13*u**2/3 - 14*u/3 + 30. Factor g(r).
-2*(r - 1)**2*(r + 7)/3
Let g be 6*1128/(-17370)*(-1 - 0). Let q = g - -2/193. Factor -q*f**3 + 4/5*f**2 + 2/5*f - 4/5.
-2*(f - 2)*(f - 1)*(f + 1)/5
Let h(a) be the third derivative of -a**8/1512 - a**7/945 + a**6/180 + a**5/270 - a**4/54 - 22*a**2 - 3. Let h(z) = 0. What is z?
-2, -1, 0, 1
Let x(n) be the third derivative of 0*n - 1/8820*n**7 + 0*n**5 + 0 + 0*n**3 + n**2 + 1/12*n**4 + 0*n**6. Let j(m) be the second derivative of x(m). Factor j(p).
-2*p**2/7
Let o be 0/2*33/132. Let 0*q - 2/3*q**2 + o + 2/3*q**3 = 0. What is q?
0, 1
Solve 1/3*r**5 + 1/3*r - 2/3*r**3 + 4/3 + 4/3*r**4 - 8/3*r**2 = 0 for r.
-4, -1, 1
Suppose -493 + 1063 = 45*n + 480. Factor -2/3*h**n - 20/3*h - 50/3.
-2*(h + 5)**2/3
Let j(l) = -l**4 - l**2 + 3*l + 2. Let m(o) = -o**2 + o + 1. Let b = -15 + 12. Let s(w) = b*m(w) + j(w). Solve s(n) = 0.
-1, 1
Suppose 35 = j + 6*j. Suppose 0 = 3*i - 0*m + 4*m - 135, j*i = 2*m + 199. Factor 23*q + 4*q**4 - 38 - 16*q**3 - 26 + i*q.
4*(q - 2)**3*(q + 2)
Let r(n) be the second derivative of -2/25*n**2 + 1/25*n**4 + 0 + 1/75*n**3 + 27*n. Factor r(v).
2*(2*v - 1)*(3*v + 2)/25
Let k be (2/(-14))/((-306)/63 + 4). Let s(l) be the third derivative of -k*l**3 - l**2 + 0*l - 1/24*l**4 + 0 - 1/240*l**5. Factor s(r).
-(r + 2)**2/4
Let p(k) be the first derivative of 33*k**4/4 - 46*k**3 + 12*k**2 + 564. Factor p(r).
3*r*(r - 4)*(11*r - 2)
Let a = -57598 - -57600. Let -2/3 + q + 2/3*q**a = 0. What is q?
-2, 1/2
Let y(s) = -11*s**3 + 159*s**2 + 136*s - 19. Let z(c) = -17*c**3 + 239*c**2 + 204*c - 31. Let l(b) = -7*y(b) + 5*z(b). Factor l(d).
-2*(d - 11)*(d + 1)*(4*d - 1)
Let o(i) be the first derivative of 3*i**2 + 0*i**5 + 20 - 4/3*i**3 + 4*i + 1/3*i**6 - 2*i**4. Factor o(w).
2*(w - 2)*(w - 1)*(w + 1)**3
Let b be (152/40 - 2)/(3/5). Let 0*m - 4/3*m**4 - 2/3*m**b + 2/3*m**5 + 0 + 4/3*m**2 = 0. What is m?
-1, 0, 1, 2
Let p(m) = 25*m**2 - 33*m + 41. Suppose 5 + 11 = -4*t. Let g(r) = -9*r**2 + 11*r - 14. Let y(w) = t*p(w) - 11*g(w). Suppose y(s) = 0. What is s?
1, 10
Let v = 1/14 - -19/28. Factor -24 + v*d**5 - 39*d**2 - 15/2*d**3 + 9/4*d**4 - 54*d.
3*(d - 4)*(d + 1)*(d + 2)**3/4
Let p(f) be the first derivative of 6*f**5/25 + 27*f**4/5 - 38*f**3/5 - 66. Let p(s) = 0. Calculate s.
-19, 0, 1
Let l(t) = 24*t**2 - 168*t - 68. Let j(u) = -49*u**2 + 335*u + 135. Let s(b) = -4*j(b) - 9*l(b). Find h, given that s(h) = 0.
-2/5, 9
Determine s, given that -2/3*s + s**5 + 0 + 7/3*s**2 - 7/3*s**4 - 1/3*s**3 = 0.
-1, 0, 1/3, 1, 2
Let r(f) = -6*f**5 - 33*f**4 + 36*f**3 - 3*f**2 + 3*f. Let g(t) = -7*t**5 - 34*t**4 + 37*t**3 - 4*t**2 + 4*t. Let w(m) = -3*g(m) + 4*r(m). Factor w(z).
-3*z**3*(z - 1)*(z + 11)
Let v(c) = 2*c - 2*c + c - 2*c**2 + 3*c**2. Let z(t) = -10*t**2 + 10*t - 10. Let j(y) = 5*v(y) + z(y). Factor j(k).
-5*(k - 2)*(k - 1)
Let n be -9*4/360*-20. Factor -3/7 + 10/7*p + 6/7*p**3 - 1/7*p**4 - 12/7*p**n.
-(p - 3)*(p - 1)**3/7
Factor 0 - 2/13*c**3 - 16/13*c**2 - 14/13*c.
-2*c*(c + 1)*(c + 7)/13
Let r = -2/7695 + 3694/1539. What is q in r*q + 0 - 3/5*q**2 = 0?
0, 4
Let o(x) be the first derivative of -49*x**6/9 - 112*x**5/5 + 157*x**4/6 + 304*x**3/9 - 36*x**2 + 32*x/3 - 119. Find z such that o(z) = 0.
-4, -1, 2/7, 1
Suppose l - 3 = 1, u + 7 = 2*l. Let r(d) be the first derivative of -1/3*d**2 - u + 0*d - 2/9*d**3. Find h such that r(h) = 0.
-1, 0
Let u(r) = -r**2 - 6*r - 7. Let c be u(-3). Suppose 16 + 3*q**3 - 12*q**c - 30 + 12*q + 14 = 0. Calculate q.
0, 2
Let x(a) be the first derivative of -3*a**5 - 115*a**4/4 - 295*a**3/3 - 285*a**2/2 - 90*a + 88. Let x(p) = 0. Calculate p.
-3, -1