*z - 1/2*z**4 + 0*z**2.
-z**4*(z + 1)/2
Let v = -10 + 12. Factor -4*b**4 - 60*b**3 - 40*b**4 - 114*b - 36*b**v + 106*b - 12*b**5.
-4*b*(b + 1)**3*(3*b + 2)
Let d(a) = -a**2 + 9*a - 17. Let v be d(6). Factor -2*l**4 + v + 4*l**2 - 8*l**3 - 6 + 33*l - 13 - 9*l.
-2*(l - 1)**2*(l + 3)**2
Let b(a) be the second derivative of -50*a**7/399 - 7*a**6/57 + 12*a**5/95 + 7*a**4/114 - 2*a**3/57 - 80*a + 1. Solve b(i) = 0 for i.
-1, -2/5, 0, 1/5, 1/2
Suppose 0 = 5*a + 39*y - 35*y + 13, 4*a - 33 = 3*y. Find n, given that 3*n**2 - 6/5*n + 6/5*n**a + 0 - 3*n**4 = 0.
-1, 0, 2/5, 1
Let t(z) be the third derivative of -z**7/560 + 3*z**6/160 - 13*z**5/160 + 3*z**4/16 - z**3/4 - 22*z**2 - 2*z. Let t(p) = 0. Calculate p.
1, 2
Let l(b) = b**3 + 26*b**2 - 120*b + 4. Let t be l(-30). Suppose 0 + 12/7*q**2 - 8/7*q - 6/7*q**3 + 1/7*q**t = 0. Calculate q.
0, 2
Let f(c) be the third derivative of -c**8/112 + 11*c**7/140 - c**6/15 + 5*c**3/3 - 11*c**2. Let j(t) be the first derivative of f(t). Factor j(a).
-3*a**2*(a - 4)*(5*a - 2)
Let n(z) be the second derivative of -z**10/30240 + z**9/7560 - z**7/1260 + z**6/720 + 7*z**4/6 + 15*z. Let y(a) be the third derivative of n(a). Factor y(f).
-f*(f - 1)**3*(f + 1)
Factor -65 - 4*c**2 - 167*c**3 + 165*c**3 + 69 + 2*c.
-2*(c - 1)*(c + 1)*(c + 2)
Let i(v) be the second derivative of -1 - 19*v - 75*v**2 - 5/2*v**3 - 33/20*v**5 + 33/4*v**4 + 1/10*v**6. Factor i(g).
3*(g - 5)**2*(g - 2)*(g + 1)
Let y(m) be the second derivative of -3*m**5/20 + 53*m**4/4 + 109*m**3/2 + 165*m**2/2 + 288*m. Determine g so that y(g) = 0.
-1, 55
Let h(c) be the second derivative of c**8/1344 + c**7/126 - c**6/144 - c**5/6 - 2*c**4/3 - 13*c. Let n(g) be the third derivative of h(g). Factor n(b).
5*(b - 1)*(b + 1)*(b + 4)
Let y be 0/(8/(-7 + 3)). Let n(k) be the first derivative of 0*k + 1/12*k**6 + 0*k**3 + 0*k**2 + 1 + y*k**5 - 1/8*k**4. Solve n(i) = 0 for i.
-1, 0, 1
Let y(u) be the second derivative of 2/3*u**2 + 9*u - 5/9*u**3 + 2/9*u**4 + 0 - 1/30*u**5. Determine v so that y(v) = 0.
1, 2
Let v = -8719/3 - -2909. What is y in 0 - v*y + 16/3*y**2 - 10/3*y**3 + 2/3*y**4 = 0?
0, 1, 2
Let g(j) = 6*j**4 + 6*j**3 - 16*j**2 + 10*j. Let c(q) = q**4 - q**3 + q. Let z(x) = 10*c(x) - g(x). Solve z(o) = 0 for o.
0, 2
Let h(v) be the third derivative of 1/300*v**5 + 0*v**3 + 1/120*v**4 + 0 - 7*v**2 + 0*v. Factor h(n).
n*(n + 1)/5
Let k(c) = -c**2 - 66*c - 305. Let n be k(-61). Factor -3/7*r**3 + n + 0*r**2 + 0*r**4 + 0*r + 3/7*r**5.
3*r**3*(r - 1)*(r + 1)/7
Factor 175*v**3 - 1620*v - 508*v**4 - 230*v**2 + 513*v**4 + 1670*v**2.
5*v*(v - 1)*(v + 18)**2
Let a = -117 - 618. Let t be (3*28/a)/((-2)/5). Find j such that -4/7 - t*j**2 - 6/7*j = 0.
-2, -1
Let i(x) be the first derivative of x**4/4 - 4*x**3/3 + 5*x**2/2 - 3*x - 7. Let d be i(3). Factor -d*t**2 + 2*t + 5*t - 4*t.
-3*t*(t - 1)
Let j(y) be the second derivative of 1/5*y**5 + 5/6*y**4 + 15*y + 0 - 2/3*y**3 + 0*y**2 - 1/3*y**6. Determine l so that j(l) = 0.
-1, 0, 2/5, 1
Let v be (2/8)/((-3)/(-18))*(-48)/(-36). Let v - 47/2*t**2 + 5/2*t**5 - 29/2*t**4 + 4*t + 59/2*t**3 = 0. What is t?
-1/5, 1, 2
Let q(k) be the first derivative of 2*k**3/13 + 178*k**2/13 + 118*k/13 - 649. Factor q(r).
2*(r + 59)*(3*r + 1)/13
Let o(q) be the first derivative of q**4/8 + q**3/2 - 4*q**2 + 6*q - 440. Determine g, given that o(g) = 0.
-6, 1, 2
Let a = -1629/11 - -25733/165. Let f = 1624/195 - a. What is y in 0*y + 0 - f*y**2 - 10/13*y**3 = 0?
-3/5, 0
Let z be (3 - 5) + -1 + 8. Suppose -b - 2 + z = 0. Factor -4*k**2 + 3*k**2 + k**b + 2*k**4 + 0*k**2.
k**2*(k + 1)*(2*k - 1)
Let k be 0 + 6*2/3. Let q(o) = -2*o + 15. Let t be q(6). Solve 5*m**4 + 2*m**2 - t*m**k + 0*m**3 + 4*m**3 = 0.
-1, 0
Let y(r) be the first derivative of -2*r**3/33 + 256*r**2/11 - 32768*r/11 - 442. Factor y(x).
-2*(x - 128)**2/11
Let z(i) be the third derivative of i**6/6 + 13*i**5/12 + 35*i**4/12 + 25*i**3/6 + 43*i**2. Find a, given that z(a) = 0.
-5/4, -1
Let w(k) be the third derivative of 5*k**9/4536 + k**8/1260 - 17*k**3/6 - 24*k**2. Let x(i) be the first derivative of w(i). Suppose x(t) = 0. Calculate t.
-2/5, 0
Factor 19*q**4 - 12*q**2 - 14*q**4 - 8*q**2.
5*q**2*(q - 2)*(q + 2)
Let 2/7 - 2/3*d + 10/21*d**2 - 2/21*d**3 = 0. Calculate d.
1, 3
Find h such that -162 - 135*h**2 + 857*h**4 - 105*h + 9*h**3 - 860*h**4 + 24*h**3 + 348*h = 0.
2, 3
Let c(o) = 4*o**2 + 22*o + 6. Let g(p) = -11*p**2 - 67*p - 17. Let z(k) = 17*c(k) + 6*g(k). Factor z(b).
2*b*(b - 14)
Let b(g) = -5*g**4 - 5*g**3 - 11*g**2 - 7*g - 4. Let v(o) = -9*o**4 - 10*o**3 - 21*o**2 - 13*o - 7. Let n(y) = 7*b(y) - 4*v(y). Find t, given that n(t) = 0.
-3, -1, 0
Let s(l) be the second derivative of 135*l**7/14 + 6*l**6 - 77*l**5/4 - 15*l**4 - 10*l**3/3 - 33*l. Suppose s(h) = 0. What is h?
-1, -2/9, 0, 1
Factor 2/11*u**3 + 8/11 - 2/11*u**2 - 8/11*u.
2*(u - 2)*(u - 1)*(u + 2)/11
Let m(t) be the first derivative of -3*t**7/28 - 7*t**6/40 - 3*t**5/40 + 10*t + 6. Let f(h) be the first derivative of m(h). Determine c, given that f(c) = 0.
-2/3, -1/2, 0
Let r(q) be the first derivative of -9*q**4/14 - 8*q**3/7 + 5*q**2 + 100*q/7 - 86. Factor r(u).
-2*(u - 2)*(3*u + 5)**2/7
Let k(h) be the third derivative of -1/10*h**5 + 0 - 2/9*h**3 + 0*h - 1/315*h**7 + 15*h**2 - 7/36*h**4 - 1/36*h**6. Factor k(v).
-2*(v + 1)**3*(v + 2)/3
Let l = 2808 + -2808. Factor 0*y**4 + 0*y**2 + 0*y + 8/5*y**3 + l - 2/5*y**5.
-2*y**3*(y - 2)*(y + 2)/5
Determine w, given that -728*w + 676 + 53*w**2 + 11*w**3 - 25*w**3 + 13*w**3 = 0.
1, 26
Let i(f) be the second derivative of -5*f**4/12 + 5*f**3/6 + 4*f. Let r(j) = j - 1. Let t(a) = i(a) + 5*r(a). Determine k so that t(k) = 0.
1
Let 1/3*p**4 + p**3 - 7/3*p - p**2 + 2 = 0. Calculate p.
-3, -2, 1
Suppose 61*h + 0 - 6 = -6. Solve -3*f**4 - 48/7*f**3 - 12/7*f**2 + 0*f + h = 0 for f.
-2, -2/7, 0
Suppose -5*h - 1145 = -1160. Let b(q) be the first derivative of 0*q + 1/7*q**3 - 1/7*q**2 - h - 1/28*q**4. What is i in b(i) = 0?
0, 1, 2
Let y(j) = -14*j**2 + 10*j - 5. Suppose 12*u + 21 = 5*u. Let v(h) = -27*h**2 + 21*h - 9. Let k(s) = u*v(s) + 5*y(s). Factor k(a).
(a - 1)*(11*a - 2)
Suppose l - 17 = -2*x, -5*x + 44 = -3*l - 15. Let w(v) = v + 8. Let u be w(-5). What is z in 0*z + 5*z**3 + 9*z**u + 4*z**2 - x*z**3 - 8*z = 0?
-2, 0, 1
Let q(x) be the first derivative of 4 + 15/8*x**2 - 3/2*x**3 + 9/16*x**4 - 9/8*x - 3/40*x**5. Factor q(z).
-3*(z - 3)*(z - 1)**3/8
Let a(u) = u - 1. Suppose 0 = 12*o - 5 + 245. Let c(b) = -b**4 - 2*b**3 + 7*b - 4. Let z(j) = o*a(j) + 4*c(j). Factor z(s).
-4*(s - 1)*(s + 1)**3
Let g(x) = 7*x**3 + 184*x**2 + 698*x + 680. Let m(j) = 85*j**3 + 2205*j**2 + 8375*j + 8160. Let u(r) = 25*g(r) - 2*m(r). Factor u(y).
5*(y + 2)**2*(y + 34)
Let t(m) = m**3 + 12*m**2 - 13*m + 482. Let b be t(-15). Factor 30/17*s - 8/17*s**b + 8/17.
-2*(s - 4)*(4*s + 1)/17
Suppose 152 = -4*k + 8. Let s be k/18*5/(-2). Suppose -4*w**2 - 2*w**3 - 4*w**2 + 2*w + s*w**2 + w**2 + 2 = 0. Calculate w.
-1, 1
Factor -x**5 + 10 - 7*x**3 + 3*x**5 + 42*x + 0*x**5 + 68*x**2 + 18*x**4 + 57*x**3 + 2*x**3.
2*(x + 1)**4*(x + 5)
Factor -6 + 2*c + 1/2*c**2.
(c - 2)*(c + 6)/2
Let l(j) be the third derivative of -j**6/180 + 3*j**5/40 - 17*j**4/144 - j**3/6 - 410*j**2. Find p, given that l(p) = 0.
-1/4, 1, 6
Let y be ((-1)/4)/((-10)/16). Suppose 3*v - 5*o + 20 = -9*o, -4*v - 5*o - 25 = 0. Determine t, given that v + y*t**2 - 6/5*t**3 + 4/5*t**4 + 0*t = 0.
0, 1/2, 1
Factor -67*j + 6*j**2 - 51*j + 126*j.
2*j*(3*j + 4)
Let j = -571 - -575. Let n(k) be the second derivative of 1/3*k**3 - 3*k - 1/6*k**j + 0*k**2 + 1/15*k**6 - 1/10*k**5 + 0. Factor n(b).
2*b*(b - 1)**2*(b + 1)
Let v(t) = -5*t**3 + 35*t**2 + 55*t + 40. Let h(j) = 2*j**3 - j**2 + j. Let d(k) = -5*h(k) - v(k). Let d(q) = 0. What is q?
-2
Let p = 11 + -8. Suppose 0 = 2*c + 5*u - 30, p*c = 3*u - u + 7. Let -2*j**2 - 8*j - 1 + 4 - 4 - c = 0. Calculate j.
-3, -1
Let j(i) be the second derivative of i**5/4 - i**4/12 - 10*i**3/3 + 2*i**2 - 61*i. Let j(d) = 0. What is d?
-2, 1/5, 2
Let j(b) = 89*b - 83. Let g be j(1). Determine h so that -12/5*h**3 + 27/5*h**2 - 9/5 + g*h = 0.
-1, 1/4, 3
Factor 49729/5 - 446/5*x + 1/5*x**2.
(x - 223)**2/5
Let w = 5 - 3. Factor -4 + 2*p**w + 11*p + 4*p**3 + 2*p**2 - 15*p.
4*(p - 1)*(p + 1)**2
Suppose 8/5*y**2 + 0 - 14/5*y**4 + 6/5*y*