12*m + 21 = -3. Let o(j) = -3*j**3 - j**2 - 2. Let f(c) = m*g(c) + o(c). Factor f(t).
-t*(t - 2)*(t + 1)
Let l(q) be the first derivative of -q**7/210 - q**6/40 - q**5/60 + q**4/8 + q**3/3 + 17*q**2/2 - 12. Let h(v) be the second derivative of l(v). Factor h(c).
-(c - 1)*(c + 1)**2*(c + 2)
Let v be (52/(-130))/((-1)/5). Factor -10*z**v - 3*z + 0 + 19*z - 3 - 5 + 2*z**3.
2*(z - 2)**2*(z - 1)
Let k(s) = -2*s**2 + 17*s + 11. Let l be k(8). Suppose -j = -l + 17. Suppose 1/2*z**4 + 1/2*z**3 + 7/4*z - j*z**2 - 1/4*z**5 - 1/2 = 0. Calculate z.
-2, 1
Let x = -32/25 - -221/75. Let y = 2 + -4/3. Let -1/3*v**3 - x*v + 4/3*v**2 + y = 0. Calculate v.
1, 2
Let r(m) be the first derivative of m**5/40 - m**3/12 - 11*m - 1. Let n(u) be the first derivative of r(u). Factor n(g).
g*(g - 1)*(g + 1)/2
Let w = 896 + -892. Let l(s) be the second derivative of s + 3/4*s**w - 1/10*s**6 + 0 - 3/10*s**5 + 0*s**2 + 0*s**3. Find r, given that l(r) = 0.
-3, 0, 1
Let q = 65736/7 + -9390. Let 4/7*p**4 - q*p**3 + 2/7*p**5 + 8/7*p - 8/7*p**2 + 0 = 0. Calculate p.
-2, 0, 1
Let j = 35 - 33. Find l, given that l**2 - 5*l**4 - 5 + 0*l**4 + 8*l**j + l**2 = 0.
-1, 1
Find k, given that 135 - 55*k - 77*k + 45*k**2 - 5*k**3 - 3*k = 0.
3
Let a = -45 + 45. Let y(b) be the third derivative of a*b + 1/4*b**3 + 1/40*b**5 + 0 + 3*b**2 + 1/6*b**4 - 1/120*b**6. Factor y(c).
-(c - 3)*(c + 1)*(2*c + 1)/2
Let y(p) be the second derivative of p**4/4 + 7*p**3/2 + 9*p**2 - p - 42. Solve y(s) = 0 for s.
-6, -1
Factor -7*w**2 - 140 + 195*w - 2*w**2 - 16*w**2.
-5*(w - 7)*(5*w - 4)
Factor 8/9 + 2/9*h**2 + 16/9*h - 2/3*h**3.
-2*(h - 2)*(h + 1)*(3*h + 2)/9
Let p(m) be the second derivative of 0*m**2 + 1/14*m**7 + 9/4*m**5 - 7/10*m**6 - 9/4*m**4 + 4 - 2*m + 0*m**3. Let p(j) = 0. What is j?
0, 1, 3
Let y(b) = -7*b**4 - 17*b**3 - b**2 + 17*b + 4. Let m(z) = -2*z**4 + 1. Let l(q) = 4*m(q) - y(q). Factor l(j).
-j*(j - 17)*(j - 1)*(j + 1)
Let v be (-4)/(-2 + (3 - -1)). Let i = v + 3. Factor i - t + 0 + t**2 + 4 - 7.
(t - 2)*(t + 1)
Factor -27/8*d + 0 + 0*d**2 + 3/8*d**3.
3*d*(d - 3)*(d + 3)/8
Let d be (-5)/24 + 3/9. Let g be (494/117 + -4)/((-16)/(-36)). Factor 0 - 1/4*q + d*q**4 + 5/8*q**2 - g*q**3.
q*(q - 2)*(q - 1)**2/8
Let n(c) be the first derivative of 5*c**3/18 - 25*c**2/12 + 10*c/3 - 96. Find a, given that n(a) = 0.
1, 4
Let g(t) be the third derivative of -t**8/336 + t**7/70 + t**6/12 - t**5/2 - 3*t**4/8 + 9*t**3/2 - 59*t**2. Let g(x) = 0. What is x?
-3, -1, 1, 3
Let t(h) be the first derivative of h**6/1980 + h**5/132 + h**4/33 + 6*h**3 + 16. Let d(y) be the third derivative of t(y). Factor d(u).
2*(u + 1)*(u + 4)/11
Let k(x) be the third derivative of -x**8/5040 - x**7/630 - x**5/15 - 11*x**2. Let b(i) be the third derivative of k(i). Find q such that b(q) = 0.
-2, 0
Let b = 18 - 4. Let g be ((-8)/b)/((-5)/35). Solve -g*h**3 - 10*h**4 + 2*h**4 + 2*h**5 + 3*h**5 = 0.
-2/5, 0, 2
Let c(x) = -x**2 + 11*x - 12. Let i be c(8). Suppose -p - 5*p + i = 0. Let -2/3*k - k**p + 1/3 = 0. Calculate k.
-1, 1/3
Let j = -155/34 + 103/17. Suppose 3/2*p**5 - 3/2*p**2 + 0 + 0*p - 3/2*p**3 + j*p**4 = 0. Calculate p.
-1, 0, 1
Let a = 45 - 40. Suppose 10*k = a*k. Factor 0 + 0*p**2 - 2/9*p**3 + k*p.
-2*p**3/9
Let x(t) be the first derivative of t**6/360 + t**5/120 - t**4/12 - 17*t**3/3 - 4. Let b(o) be the third derivative of x(o). Find w, given that b(w) = 0.
-2, 1
Suppose 71 = 16*o + 7. Let b(i) be the first derivative of 2/9*i**6 - 4/9*i**3 + o + 4/15*i**5 - 1/3*i**4 + 0*i + 0*i**2. Factor b(m).
4*m**2*(m - 1)*(m + 1)**2/3
Let n(u) be the second derivative of 8/3*u**2 + 4/9*u**3 + 0 + 1/36*u**4 + 13*u. Factor n(m).
(m + 4)**2/3
Let z = 424 - 2920/7. Factor 33/7*n + 3*n**3 - 6/7 - z*n**2.
3*(n - 1)**2*(7*n - 2)/7
Let l be (86/252 - (-12)/(-42))/(8/168). Solve l*q**2 - 3/2*q**3 - 1/3*q + 0 - 1/6*q**5 + 5/6*q**4 = 0 for q.
0, 1, 2
Solve -43923/8*y**2 + 0*y - 3/8*y**4 - 363/4*y**3 + 0 = 0.
-121, 0
Let l(x) be the second derivative of x**9/30240 - x**8/13440 - 13*x**4/6 + 4*x. Let n(z) be the third derivative of l(z). Factor n(j).
j**3*(j - 1)/2
Suppose 2*i = 8, 5*j - 4 = j + 2*i. Let f(v) be the second derivative of -4*v + v**j + 2/3*v**4 + 0 + 1/6*v**5 + 2/3*v**2. Factor f(k).
2*(k + 1)**2*(5*k + 2)/3
Solve 15 + 3*i**3 - 3/2*i**5 + 15*i**4 - 3/2*i - 30*i**2 = 0 for i.
-1, 1, 10
Let j(c) be the third derivative of -c**6/420 - c**5/70 + 2*c**4/7 + 80*c**3/21 - 18*c**2 - c. Factor j(g).
-2*(g - 5)*(g + 4)**2/7
Let j(o) be the first derivative of -3/20*o**5 - 1/30*o**6 + 1 - 1/4*o**4 + 0*o**2 - 1/6*o**3 - o. Let l(n) be the first derivative of j(n). Factor l(c).
-c*(c + 1)**3
Let r(j) be the second derivative of j**8/1344 - j**7/168 + j**4/12 + 3*j. Let d(w) be the third derivative of r(w). Determine l, given that d(l) = 0.
0, 3
Let f(u) = -u**3 + 23*u**2 - 129*u + 705. Let i be f(18). Let -1/5*q**i - 6/5*q**2 - 6/5 - 11/5*q = 0. Calculate q.
-3, -2, -1
Factor 2652*u**2 - 1327*u**2 + 5832 - 216*u - 1323*u**2.
2*(u - 54)**2
Let b(l) = -4*l**5 + l**4 - 2*l**3 - 2. Let k(g) = -g**3 - 1. Let d = -28 + 22. Let x(c) = d*k(c) + 3*b(c). Let x(v) = 0. What is v?
0, 1/4
Let i(x) be the first derivative of -x**6/9 + x**5/9 + 7*x**4/36 - 5*x**3/27 - x**2/18 + 59. Suppose i(k) = 0. What is k?
-1, -1/6, 0, 1
Let k be ((-9)/18 + 72/16)*(-16)/(-10). Factor k*q + 208/5*q**3 - 64/5 + 2*q**5 + 224/5*q**2 + 76/5*q**4.
2*(q + 2)**4*(5*q - 2)/5
Factor 2/3*i**2 + 64/3 + 12*i.
2*(i + 2)*(i + 16)/3
Factor 3/5*r**4 - 3/5*r**3 - 3/5*r**2 + 3/5*r**5 + 0 + 0*r.
3*r**2*(r - 1)*(r + 1)**2/5
Let t(c) be the third derivative of -c**5/300 - 19*c**4/60 - 361*c**3/30 + 15*c**2 + 4. Factor t(x).
-(x + 19)**2/5
Let l(b) be the first derivative of -b**6/40 + b**5/4 - b**4/4 - 4*b**3 + 41*b**2/2 + 11. Let w(m) be the second derivative of l(m). Solve w(i) = 0.
-1, 2, 4
Let t(g) be the third derivative of -g**8/672 + g**7/120 - g**6/240 - 11*g**5/240 + g**4/24 + g**3/6 + 4*g**2 - 11*g. Find i, given that t(i) = 0.
-1, -1/2, 1, 2
Let y(o) be the second derivative of -24*o - 5/36*o**4 + 0*o**2 + 0 + 1/9*o**3 - 1/126*o**7 + 1/20*o**5 + 1/90*o**6. Factor y(j).
-j*(j - 1)**3*(j + 2)/3
Let p(k) = k**2 - 15*k - 12. Let r be p(15). Let a be 2/12 + (-22)/r. Let -2/5 - 4/5*t**3 + 6/5*t**a + 0*t = 0. What is t?
-1/2, 1
Let u = 199 + -199. Let v be (u/(-2))/(-7 - -5). Factor -1/5*y**4 + v - 1/5*y**5 + 1/5*y**3 + 0*y + 1/5*y**2.
-y**2*(y - 1)*(y + 1)**2/5
Let u(l) be the first derivative of -2*l**5/5 + l**4/2 + 2*l**3 - 5*l**2 + 4*l - 37. Factor u(q).
-2*(q - 1)**3*(q + 2)
Let -4/7*s**4 - 6*s**2 + 90/7*s**3 - 44/7*s + 0 = 0. Calculate s.
-1/2, 0, 1, 22
Let x = -275/4 + 139/2. Find k such that 0 + 0*k**2 + x*k**3 - 3/4*k = 0.
-1, 0, 1
Factor -6/11*x**2 + 2/11*x**3 + 16/11 - 12/11*x.
2*(x - 4)*(x - 1)*(x + 2)/11
Let d(w) be the second derivative of -w**4/18 - 140*w**3/9 - 139*w**2/3 - 36*w. Factor d(n).
-2*(n + 1)*(n + 139)/3
Let x = 1286 + -1286. Factor x*v**2 + 2/3*v - 2/9*v**3 - 4/9.
-2*(v - 1)**2*(v + 2)/9
Let r be (-34)/6 - (-4)/6. Let o be 4/(-8)*(r - 1). Suppose d**o + 2*d**3 - 6*d**3 - 6*d**2 + 3*d**4 = 0. Calculate d.
-1, 0, 2
Factor -2/9 + 2/9*h**2 + 1/9*h - 1/9*h**3.
-(h - 2)*(h - 1)*(h + 1)/9
Let h(s) be the second derivative of 3*s**5/5 - 9*s**4/4 + 5*s**3/2 - 200*s. Factor h(b).
3*b*(b - 1)*(4*b - 5)
Find r, given that 109*r**2 - 5*r**3 + 135*r**2 + 83 - 215*r**2 + 6*r**3 + 17 + 104*r = 0.
-25, -2
Let w(u) = 11*u**2 + 19*u + 113. Let c(m) = -4*m**2 - 6*m - 38. Let i(b) = 17*c(b) + 6*w(b). Find h such that i(h) = 0.
-2, 8
Let r(l) be the second derivative of -l**4/20 - 3*l**3/10 - 49*l + 1. Factor r(j).
-3*j*(j + 3)/5
Let b(n) be the second derivative of n**4/32 + 7*n**3/16 - 3*n**2/2 + 4*n + 16. Factor b(y).
3*(y - 1)*(y + 8)/8
Let -2/11*k**2 - 16*k - 174/11 = 0. Calculate k.
-87, -1
Let i(u) be the first derivative of -u**6/1440 + u**5/120 - u**4/32 + 28*u**3/3 + 3. Let v(c) be the third derivative of i(c). What is a in v(a) = 0?
1, 3
Let k(z) be the second derivative of 0*z**2 - 3/5*z**5 + 1/10*z**6 + 0 + 5/4*z**4 - 10*z - z**3. Let k(n) = 0. What is n?
0, 1, 2
Let c(s) be the first derivative of -9/4*s - 9 - 3/4*s**2 + 1/4*s**3. Let c(p) = 0. What is p?
-1, 3
Factor 25/4*b**2 + 0 + 5*b + 5/4*b**3.
5*b*(b + 1)*(b + 4)/4
Solve -8/7 - 4/7*j**2 + 12/7*j = 0 for j.
1