
-4*(x - 2)*(x - 1)**2/5
Let m(t) be the third derivative of 0 + 1/100*t**6 - 2/525*t**7 - 1/75*t**5 + 1/120*t**4 + 0*t + 0*t**3 + 1/1680*t**8 + 23*t**2. Factor m(g).
g*(g - 1)**4/5
Suppose 4*j - 7*j + 4*o = -32, -6 = -2*j - 5*o. Suppose 3*w = -w + j. Solve 2*h**3 + w*h**3 + 12*h**2 - 8*h**2 = 0.
-1, 0
Let x(n) be the third derivative of n**6/120 + n**5/5 + 3*n**4/2 - 51*n**2 - n. Factor x(s).
s*(s + 6)**2
Let q be 0 - (-1 + ((-10)/35 - -1)). Solve 0 + 2/7*m**2 - q*m = 0.
0, 1
Suppose -3 = 2*f - l, 5 = -5*f + 3*l + 2*l. Let a be 3 - 1 - 2/(f/(-2)). Let -2*j**3 + a - 4/7*j**2 + 8/7*j**4 + 0*j = 0. What is j?
-1/4, 0, 2
Suppose -2*k = 3*n - 23, -4*n = -5*k - 0*k. Let u(d) be the first derivative of 1/7*d**2 - 4 - 1/14*d**k - 2/21*d**3 + 2/7*d. Determine v so that u(v) = 0.
-1, 1
Determine j, given that 20/3*j**2 + 0 + 14*j = 0.
-21/10, 0
Let w be 17/153 - (-1)/(-9). Let r(v) be the third derivative of -1/20*v**5 + 0 + 0*v**3 + w*v + 4*v**2 - 1/4*v**4. Factor r(o).
-3*o*(o + 2)
Let f be -36*3/(-26) - 10*10/25. Factor -f*a**5 + 0*a + 0 + 2/13*a**2 + 2/13*a**3 - 2/13*a**4.
-2*a**2*(a - 1)*(a + 1)**2/13
Suppose 2*d - 275 = -9*d. Factor 673*v**2 - 4*v**3 + 360 + 1380*v + d*v**3 + 14*v**3 - 243*v**2.
5*(v + 6)**2*(7*v + 2)
Let i(k) be the second derivative of -1/90*k**5 + 0*k**2 + 12*k + 0*k**3 - 1/9*k**4 + 1/135*k**6 + 1. Factor i(z).
2*z**2*(z - 3)*(z + 2)/9
Let h = 189 + -123. Let c = 68 - h. Let -6/7*x - 3/7*x**c - 3/7 = 0. What is x?
-1
Let j(t) = 6*t**3 - 15*t**2 - 9*t + 7. Let c(o) = o**3 - o**2 + o + 1. Let f = 38 + -43. Let p(n) = f*j(n) + 35*c(n). Factor p(r).
5*r*(r + 4)**2
Suppose -2*d - 3*d = -50. Suppose 0*f - d = -5*f. Factor -o**2 - 5*o - f*o**2 - 2*o**2.
-5*o*(o + 1)
Factor -100 + 1227*c**4 + 22*c**3 - 114*c**2 - 1229*c**4 + 4*c**3 + 190*c.
-2*(c - 5)**2*(c - 2)*(c - 1)
Let o be 1/((-45)/8)*-13*70/364. Factor 2/9*z**2 + 0 - o*z.
2*z*(z - 2)/9
Let f(j) be the second derivative of -5*j**8/2688 - j**7/140 - 3*j**6/320 - j**5/240 - j**2/2 - 6*j. Let a(r) be the first derivative of f(r). Factor a(w).
-w**2*(w + 1)**2*(5*w + 2)/8
Let f = 2/149 - -292/447. Let b = 1459/24 + -465/8. Determine x so that 0 + b*x**3 + 4/3*x - f*x**4 - 10/3*x**2 = 0.
0, 1, 2
Let m be (-4)/6*(-162)/189*(-84)/(-8). Find z, given that 3*z**4 - 3/4*z + 3/2*z**3 - m*z**2 + 3 - 3/4*z**5 = 0.
-1, 1, 4
Let p(b) be the third derivative of b**9/3780 + b**8/560 + b**7/315 + b**4/8 - 14*b**2. Let o(c) be the second derivative of p(c). Factor o(t).
4*t**2*(t + 1)*(t + 2)
Suppose 139 - 69 = 27*v + 70. Let 4/3*q**3 + v*q**4 - 2/3*q - 2/3*q**5 + 0*q**2 + 0 = 0. Calculate q.
-1, 0, 1
Suppose -4 = 9*k - 5*k. Let q be 2*(4 + k)/3. Solve -3*r**q - 1/2 - 2*r - 1/2*r**4 - 2*r**3 = 0.
-1
Factor -17*g**2 - 43865*g + 3*g**2 + 89*g**2 + 43595*g + 5*g**3.
5*g*(g - 3)*(g + 18)
Let h be (113/(-3))/(38/(-6) - -6). Let x = -903/8 + h. Factor -3/8*a + 1/8*a**4 + 0 + 3/8*a**3 - x*a**2.
a*(a - 1)*(a + 1)*(a + 3)/8
Let u be (-7)/((-175)/10)*(-6 + 1). Let y be (-4 - -2) + (1 - (-1 + u)). Find l such that 2/3 + 1/3*l**y - l = 0.
1, 2
Let u(j) be the third derivative of -j**7/14 + 11*j**6/24 - 5*j**5/12 - 5*j**4/8 + 15*j**2 - 2*j. Factor u(y).
-5*y*(y - 3)*(y - 1)*(3*y + 1)
Let p(d) be the first derivative of d**7/5040 - d**6/360 + d**5/80 - d**3/3 - 2. Let r(w) be the third derivative of p(w). Let r(j) = 0. Calculate j.
0, 3
Let f(t) be the first derivative of -2*t**5/45 - t**4/2 - 16*t**3/27 - 160. Factor f(k).
-2*k**2*(k + 1)*(k + 8)/9
Suppose 2*g + 2*z + 293 = z, -5*z = -5*g - 710. Let u = 437/3 + g. What is h in 2/9*h - 2/3 + u*h**2 - 2/9*h**3 = 0?
-1, 1, 3
Solve -9*d**3 + 0 + 14*d**2 - 1/4*d**5 + 5/2*d**4 - 8*d = 0.
0, 2, 4
Let r(f) be the third derivative of 25*f**2 + 1/5*f**5 + 0*f**4 - 1/40*f**6 + 1/112*f**8 + 0 - 2/35*f**7 + 0*f**3 + 0*f. Factor r(d).
3*d**2*(d - 4)*(d - 1)*(d + 1)
Factor -501*o**3 - 4*o**4 - 31940*o**2 - 115520 - 118560*o - o**4 - 279*o**3.
-5*(o + 2)**2*(o + 76)**2
Let q(c) be the second derivative of c**4/6 - 13*c**3/8 - 5*c**2/8 - 8*c. Let q(k) = 0. What is k?
-1/8, 5
Let b be 2*1/(-2)*3. Let h = 1 - b. Find a such that a**3 - a**2 - a + h - 3 + 0 = 0.
-1, 1
Let g be ((-2)/(-10))/((-80)/(-15)). Let b(r) be the second derivative of 1/48*r**4 - g*r**5 - 4*r + 0*r**3 + 0*r**2 + 0 - 1/30*r**6. What is x in b(x) = 0?
-1, 0, 1/4
Let a = 18/83317 + 1171785/4915703. Let r = a - 5/59. What is w in 2/13*w**2 + r*w - 4/13 = 0?
-2, 1
Determine u so that -1/3*u**2 - 192 + 16*u = 0.
24
Let y(r) = -44*r**2 - 10*r + 4. Let t(s) = -45*s**2 - 10*s + 4. Suppose -5*b = 31 - 1. Let a(n) = b*t(n) + 5*y(n). Factor a(x).
2*(5*x - 1)*(5*x + 2)
Factor a**2 - 9 + 172 + 54*a + 196 + 370.
(a + 27)**2
Let b(v) = -v + 30. Let s(p) = p**2 + 16*p + 53. Let l be s(-14). Let x be b(l). Let 2/3*u**2 - 1/3*u - 2/3*u**4 + 0 + 0*u**3 + 1/3*u**x = 0. Calculate u.
-1, 0, 1
Solve 40*f**5 + 70*f**4 + 21*f**3 + 107*f + 5*f**2 - 107*f + 14*f**3 = 0.
-1, -1/2, -1/4, 0
Determine c, given that c**3 + 0 + 0*c + 1/3*c**4 - 6*c**2 = 0.
-6, 0, 3
Let d(t) be the second derivative of -t**8/10920 - t**7/5460 - 23*t**3/6 - 7*t. Let j(w) be the second derivative of d(w). Find f, given that j(f) = 0.
-1, 0
Let j(v) be the first derivative of -v**6/30 - 7*v**5/25 + 27*v**4/20 - 29*v**3/15 + v**2 - 474. Factor j(m).
-m*(m - 1)**3*(m + 10)/5
Let p(a) be the second derivative of -7*a**4 - 68*a**3/3 - 16*a**2 + 15*a. Let p(s) = 0. What is s?
-4/3, -2/7
Let r = 132601/120 + -1105. Let m(i) be the third derivative of 0 - 1/6*i**3 + 0*i + r*i**5 - 4*i**2 - 1/48*i**4. Find u, given that m(u) = 0.
-1, 2
Factor 5/2 + 5/4*h**3 - 5/2*h**2 - 5/4*h.
5*(h - 2)*(h - 1)*(h + 1)/4
Find u, given that -1/3*u + 2/3 - u**2 + 1/3*u**3 + 1/3*u**4 = 0.
-2, -1, 1
Let m(u) = -23*u**3 - 82*u**2 + 532*u - 608. Let y(b) = 8*b**3 + 27*b**2 - 177*b + 203. Let j(h) = 3*m(h) + 8*y(h). Solve j(z) = 0 for z.
-10, 2
Let c = 3464 + -3462. Suppose -4/3 + 4/3*r**c + 14/3*r - 14/3*r**3 = 0. Calculate r.
-1, 2/7, 1
Let w(s) be the second derivative of s**7/21420 + s**6/1530 + s**5/255 - 3*s**4/4 + 26*s. Let l(t) be the third derivative of w(t). Let l(a) = 0. What is a?
-2
Let g(n) = -n**3 - 12*n**2 + 14*n + 16. Let b be g(-13). Find j, given that -2 - 24*j - b*j**2 + 21*j + 3*j**2 + j**3 = 0.
-1, 2
Suppose -47*b + 80*b = 99. Determine y so that 3/4 + 15/4*y - 15/4*y**b - 3/4*y**2 = 0.
-1, -1/5, 1
Factor h**2 + 6 + 16 + 18*h + 43.
(h + 5)*(h + 13)
Factor -7*x - 65*x**4 + 7*x - 33050 + 55*x**3 + 10*x**2 + 33050.
-5*x**2*(x - 1)*(13*x + 2)
Let s(f) be the second derivative of f**6/30 + f**5/10 - f**4/4 - 2*f**3/3 + 2*f**2 - 12*f + 7. What is b in s(b) = 0?
-2, 1
Let c(p) = 2*p**2 + 10*p + 4. Let g(l) = 3*l**2 + 20*l + 7. Let a(r) = -7*c(r) + 4*g(r). Solve a(q) = 0 for q.
0, 5
Let l(v) be the second derivative of 23*v**6/30 - v**5/10 + 117*v. Factor l(o).
o**3*(23*o - 2)
Factor 432/5 - 2/5*m**4 + 216/5*m + 34/5*m**3 - 36*m**2.
-2*(m - 6)**3*(m + 1)/5
Let r(c) be the third derivative of 0*c - 1/120*c**4 - 1/300*c**5 - 5*c**2 + 0*c**3 + 0. Factor r(n).
-n*(n + 1)/5
Solve 110*d**2 - 15 + 114*d**2 + 12*d - 4*d - 225*d**2 = 0.
3, 5
Let y(w) be the second derivative of w**8/16800 + w**7/2100 + w**6/900 - 2*w**4 - 3*w + 1. Let b(r) be the third derivative of y(r). Factor b(c).
2*c*(c + 1)*(c + 2)/5
Determine l, given that l**2 + 1/3*l**3 - 1/3*l - 1 = 0.
-3, -1, 1
Let g be (((-2)/3)/(345/(-621)))/2. Factor 3/5*c + 0 + 0*c**2 - g*c**3.
-3*c*(c - 1)*(c + 1)/5
Factor 8/13 + 4/13*u**2 + 2/13*u**3 - 14/13*u.
2*(u - 1)**2*(u + 4)/13
Let l = 60788/15 + -4052. Solve 0 + 4/15*b**2 + 2/15*b**5 + 0*b + l*b**4 + 2/3*b**3 = 0.
-2, -1, 0
Solve 0 - 3/5*u**2 - 3*u = 0 for u.
-5, 0
Let f(y) be the second derivative of 0*y**2 - 1/24*y**4 - y + 1/16*y**3 - 3. Factor f(a).
-a*(4*a - 3)/8
Solve -3/8*l**3 + 27/8 + 21/8*l**2 + 51/8*l = 0 for l.
-1, 9
Let n(v) = -v**3 + 2*v**2 - 7*v. Let m(i) be the third derivative of i**4/24 + 14*i**2. Let u(q) = 21*m(q) + 3*n(q). Factor u(r).
-3*r**2*(r - 2)
Let j = -223 - -223. Let r(a) be the first derivative of 1/6*a**3 - 3 - 1/4*a**2 + j*a. Solve r(p) = 0 for p.
0, 1
Let x(r) be the third derivative of -5*r**6/56 + r**5/2 - 11*r**4/14 + 4*r**3/7 - 30*r**2 + 2. Factor x(u).
-3*(u - 2)*(5*u - 2)**2/7
Let u(z) be the first derivative of z**4/12 + 32*z**3/3 + 51