 - 110*m**2 = 0 for m.
-1/4, 1/11
Let v(z) be the third derivative of z**9/15120 + z**8/5040 - z**7/315 - z**6/45 + 2*z**5/15 + 8*z**2. Let k(d) be the third derivative of v(d). Factor k(n).
4*(n - 2)*(n + 1)*(n + 2)
Let b(c) be the second derivative of c**6/10 - c**4/4 + 136*c - 2. Solve b(r) = 0.
-1, 0, 1
Suppose -2*a + 10 = 3*a. Factor -8*o - o + 5*o**3 + o**a + 4*o**2 - o.
5*o*(o - 1)*(o + 2)
Let k(g) = -g + 7. Let h be k(4). What is r in 5*r**h + 30*r**2 - 20 + 60 - 1541*r + 1601*r = 0?
-2
Factor -14/9*q**2 - 100/9*q**3 + 0*q + 0 - 14/9*q**4.
-2*q**2*(q + 7)*(7*q + 1)/9
Let v be (-3689)/(-1953) - (8/(-18))/4. Factor 2/3*n**3 - 2/3*n + 0*n**v + 0.
2*n*(n - 1)*(n + 1)/3
Let c(u) be the first derivative of -5*u**6/6 - 17*u**5 + 25*u**4 + 60*u**3 - 479. Determine i so that c(i) = 0.
-18, -1, 0, 2
Let q(n) be the second derivative of n**8/47040 - n**6/5040 - n**4/2 - 22*n. Let l(y) be the third derivative of q(y). Solve l(z) = 0.
-1, 0, 1
Let c be 5/(10/(-12)) + (-1 - -5). Let d be (c - (2 + 0))*3/(-4). Find p such that 0*p + 4/9*p**4 + 0 + 0*p**2 + 2/9*p**5 + 2/9*p**d = 0.
-1, 0
Let q(j) = j**4 + j**3 - 202*j**2 - 375*j - 187. Let o(u) = u**4 + u**3 - 67*u**2 - 125*u - 62. Let w(x) = 7*o(x) - 2*q(x). Solve w(h) = 0.
-3, -1, 4
Let i be 152/56 - 4/(-14). Suppose 0*c - 110 = -5*c + 5*b, 5*b + 20 = 0. Suppose c*p**2 - 6*p**3 - i - 6 + 4*p - 9*p**4 - 3*p + 3*p**5 + 2*p = 0. What is p?
-1, 1, 3
Suppose 2/15*d**2 - 6/5*d + 16/15 = 0. Calculate d.
1, 8
Suppose 1/9*u**3 + 0 + 10/9*u + 11/9*u**2 = 0. What is u?
-10, -1, 0
Factor -21 + w**2 - 20*w - 6*w**2 + 44 - 23.
-5*w*(w + 4)
Suppose 122 = -0*o + 3*o - 2*i, i + 208 = 5*o. Let b = 46 - o. Find a, given that -b*a**3 + 8/7 - 44/7*a + 64/7*a**2 = 0.
2/7, 1
Suppose 6*j - 4*z - 34 = 3*j, 3*z = -2*j + 17. Factor j*y**2 + 23 - 25*y**4 - 30*y**3 - 5*y**5 + 55*y - 20*y - 8.
-5*(y - 1)*(y + 1)**3*(y + 3)
Let n(k) = 6*k**2 + 2*k. Let j be 40/(-6)*6/5. Let b(v) = -v - 2*v**2 + v - v. Let o(s) = j*b(s) - 3*n(s). Factor o(f).
-2*f*(f - 1)
Let a(m) = 2*m**2 - m - 228. Let x be a(11). Determine z, given that 0 - 1/3*z**x + 2/3*z**2 - 1/3*z = 0.
0, 1
Let w(r) = -r**5 + 7*r**4 + 36*r**3 + 41*r**2 + 19*r. Let v(y) = -8*y**4 - 36*y**3 - 40*y**2 - 20*y. Let m(x) = 3*v(x) + 4*w(x). Factor m(z).
-4*z*(z - 4)*(z + 1)**3
Let z(v) = 9*v**2 + 18*v - 27. Let d(l) = l**2 - 1. Let p(y) = -12*d(y) + z(y). Find w such that p(w) = 0.
1, 5
Let b(g) = 39*g**3 + 80*g**2 - 16*g - 5. Let u(c) = -98*c**3 - 200*c**2 + 40*c + 12. Let v(w) = -12*b(w) - 5*u(w). Factor v(i).
2*i*(i + 2)*(11*i - 2)
Let d be (-278)/(-1390) + (-298)/110*(-2 - -1). Factor 2/11*o**4 + 64/11*o + d + 16/11*o**3 + 48/11*o**2.
2*(o + 2)**4/11
Let f(j) be the second derivative of 4/15*j**6 + 2/3*j**4 + 0 + 0*j**2 - 1/3*j**3 - 1/21*j**7 - 3/5*j**5 - 2*j. Solve f(w) = 0 for w.
0, 1
Let g(j) be the third derivative of j**7/840 - 11*j**6/240 + 157*j**5/240 - 33*j**4/8 + 27*j**3/2 - 242*j**2 - 2*j. Factor g(f).
(f - 9)**2*(f - 2)**2/4
Let b(u) = -3*u - 31. Let l be b(-11). Let f(v) be the first derivative of 18/5*v**5 + 0*v**3 + 0*v + 0*v**l - v**4 - 7/3*v**6 - 4. Solve f(q) = 0 for q.
0, 2/7, 1
Solve -18/13 - 20/13*u - 2/13*u**2 = 0 for u.
-9, -1
Suppose 5*u + 4*c + 0*c - 32 = 0, 2*u - c - 5 = 0. Let 5*y + 4 - 16*y**3 + 6*y + 12*y**2 + u*y**4 + 5*y - 20 = 0. What is y?
-1, 1, 2
Let s(g) = g**3 + 26*g**2 + 49*g + 30. Let w be s(-24). Let a be 0 - (-2)/w - (-17)/51. What is l in -10/9*l + a - 4/9*l**2 = 0?
-3, 1/2
Let y = -11 + 15. Let z be 3 + y + (0 - -2). Factor 9 + f**2 - z + 2*f.
f*(f + 2)
Suppose 5*v = -h - 27 - 11, 4*h + 5*v = -32. Factor -1/4*b**h + 0*b + 0.
-b**2/4
Suppose 5/4*y**4 + 0 - 85/4*y**2 - 25*y - 1/4*y**5 + 21/4*y**3 = 0. What is y?
-4, -1, 0, 5
Factor 0 - 12321/5*d - 1/5*d**3 - 222/5*d**2.
-d*(d + 111)**2/5
Let m(a) = -2*a**4 - 19*a**3 - 75*a**2 - 95*a - 40. Let l(r) = 2*r**4 + 18*r**3 + 74*r**2 + 94*r + 40. Let w(i) = -3*l(i) - 4*m(i). Factor w(k).
2*(k + 1)**2*(k + 4)*(k + 5)
Factor 5/3*s**5 + 5*s**3 + 35/3*s**4 - 160/3*s - 20 - 115/3*s**2.
5*(s - 2)*(s + 1)**3*(s + 6)/3
Let l(x) = x**3 - 374*x**2 + 47632*x - 2000372. Let j(o) = -o**2 - o - 1. Let k(c) = 12*j(c) + 3*l(c). What is m in k(m) = 0?
126
Factor -4 + 0*k**2 - 14/3*k + 2/3*k**3.
2*(k - 3)*(k + 1)*(k + 2)/3
Let t(a) be the first derivative of -a**6/35 - 9*a**5/140 + a**3/14 - 5*a - 6. Let w(b) be the first derivative of t(b). Factor w(c).
-3*c*(c + 1)**2*(2*c - 1)/7
Let d(p) = 2*p**2 + 26*p + 84. Let f be d(-5). Let v(o) be the second derivative of 0 - 5*o + 0*o**f + 0*o**2 - 1/20*o**5 + 1/6*o**3. Solve v(a) = 0 for a.
-1, 0, 1
Let o(l) be the second derivative of 11*l - 8/3*l**3 + 4*l**2 + 0 - 13/2*l**4 - 27/10*l**5. Factor o(p).
-2*(p + 1)*(3*p + 2)*(9*p - 2)
Let t(r) be the second derivative of -1 - 1/3*r**4 + 4*r**3 + 5*r + 0*r**2. Find w such that t(w) = 0.
0, 6
Let p be ((-196)/63)/4 + (0 - -1). Factor -2/9*a**2 + 2/9 - 2/9*a + p*a**3.
2*(a - 1)**2*(a + 1)/9
Let s(f) be the second derivative of 10*f - 6*f**3 - 9/10*f**5 - 13/4*f**4 - 6*f**2 + 0 - 1/10*f**6. Solve s(q) = 0 for q.
-2, -1
Let d = -120 - -74. Let x = d - -49. Find c such that -2/11*c**2 + 0 + 10/11*c**x - 6/11*c**4 - 2/11*c = 0.
-1/3, 0, 1
Let q(k) be the third derivative of -k**5/45 + 19*k**4/9 - 722*k**3/9 - 3*k**2 + 6*k. What is a in q(a) = 0?
19
Let p be 40950/338 + (-2)/13. Find x, given that 55*x - p*x + 5*x**2 + 56*x = 0.
0, 2
Let f(c) be the first derivative of c**7/420 + c**6/36 + c**5/15 + 11*c**3/3 + 20. Let a(x) be the third derivative of f(x). Factor a(p).
2*p*(p + 1)*(p + 4)
Let w be 0 + 5 - 0/1. Suppose -4 = -i - 5*y + 8, -4 = -w*i + 3*y. Let 8*l**3 + 3*l**4 + 12*l**2 - l**2 + 4*l**3 - 2*l**i = 0. What is l?
-3, -1, 0
Let z(t) be the third derivative of t**8/168 + t**7/15 + 3*t**6/10 + 2*t**5/3 + 2*t**4/3 + 82*t**2. Let z(l) = 0. What is l?
-2, -1, 0
Let h be 217/(-63) - (-5 + 0). Factor -4/3 - 2/9*l**2 + h*l.
-2*(l - 6)*(l - 1)/9
Suppose 2*o - 5*o = 4*i - 1, -i + 4*o = -24. Find w such that -i*w - 24*w + 4*w**2 + 4*w + 48 - w**2 = 0.
4
Let j(f) be the third derivative of -f**7/420 + f**6/80 + f**5/24 - f**4/16 - f**3/3 - 227*f**2 + 1. Let j(g) = 0. What is g?
-1, 1, 4
Let u = -1437 - -2989/2. Suppose 2*o - 3*h = 16, 5*h + 45 = 5*o + 10. Solve 0 + 75/2*v**2 + 40*v**o - u*v**3 - 60*v**4 - 5*v = 0 for v.
-1, 0, 1/4, 2
Let x(a) be the second derivative of 1/30*a**6 + 1/9*a**3 - 17/180*a**5 + 0 + 7*a - a**2 + 1/24*a**4. Let w(f) be the first derivative of x(f). Factor w(r).
(r - 1)*(3*r - 2)*(4*r + 1)/3
Let v(f) be the first derivative of -f**5/90 + f**3/27 - 38*f + 31. Let d(h) be the first derivative of v(h). Determine n so that d(n) = 0.
-1, 0, 1
Let u be 172/(-1050) - 12/288*-4. Let x(r) be the third derivative of 0*r**3 + 1/100*r**5 + 0 + 0*r + u*r**7 + 3*r**2 + 1/60*r**4 - 1/75*r**6. Factor x(h).
h*(h - 2)*(h - 1)*(3*h + 1)/5
Let c(m) = -m**2 - 14*m - 29. Let b be c(-11). Factor -x**3 - x**3 + 3*x**b + 8*x**3 + 0*x**3.
3*x**3*(x + 2)
Let q(h) be the second derivative of -15*h - 8/25*h**6 - 2/21*h**7 + 0 + 0*h**2 - 9/25*h**5 + 0*h**3 - 2/15*h**4. Factor q(z).
-4*z**2*(z + 1)**2*(5*z + 2)/5
Let x(f) be the second derivative of f**7/77 + 8*f**6/165 + 7*f**5/110 + f**4/33 - 3*f - 27. Solve x(g) = 0 for g.
-1, -2/3, 0
Factor -3/2*t + 0 + 1/4*t**5 - 1/4*t**4 + 13/4*t**2 - 7/4*t**3.
t*(t - 2)*(t - 1)**2*(t + 3)/4
Find n such that -3/4*n**2 + 3/4*n + 9/2 = 0.
-2, 3
Solve -112*i**2 - 24*i + 126*i**3 - 28*i**4 - 4 - 12*i**3 + 36 = 0 for i.
-1/2, 4/7, 2
Let u be 6787/(-1234) - (-250)/28. What is d in 66/7*d**2 - 32/7*d - u - 10/7*d**3 = 0?
-2/5, 1, 6
Let n(l) be the first derivative of l**3 - 6*l**2 - 15*l - 945. Determine g so that n(g) = 0.
-1, 5
Let z(f) be the second derivative of -f**7/420 + f**6/45 - f**5/15 + 5*f**3/3 - 12*f. Let r(k) be the second derivative of z(k). Suppose r(u) = 0. What is u?
0, 2
Let d(l) be the first derivative of 17/3*l**2 + 26 - 2/15*l**5 + 10/3*l**3 + 1/2*l**4 + 4*l. Find z such that d(z) = 0.
-1, 6
Let s(w) be the third derivative of -w**6/180 - w**5/10 + 3*w**3/2 + 12*w**2. Let v(n) be the first derivative of s(n). Determine t so that v(t) = 0.
-6, 0
Let t be -6*(-1)/(-2)*4/(-4). Factor -15*i**4 + t*i**5 + 3*i**5 - 15*i + 26 + 10*i**2 - 21 + 10*i**3 - i**5.
5*(i - 1)**4*(i + 1)
Supp