Let c be -2 + (-3)/((-3)/5). Factor 3/4*u**c + 1/4*u**4 - 1/4*u**5 + 0 + 1/2*u - 5/4*u**g.
-u*(u - 1)**3*(u + 2)/4
Let k(z) be the third derivative of -z**7/15 + 107*z**6/30 - 4283*z**5/70 + 5350*z**4/21 - 10000*z**3/21 - 5*z**2 + 19*z. Factor k(p).
-2*(p - 1)**2*(7*p - 100)**2/7
Find f such that 4*f**3 - 34/7*f**2 + 0 - 60/7*f + 2/7*f**4 = 0.
-15, -1, 0, 2
Suppose 2*g = -3*q + 383, -3*g + 475 = 4*q - 102. Suppose o - 30 = -27. Solve -199 + g - 6*b**2 - 9*b - b**o = 0 for b.
-3, 0
Let w(f) = -6*f**2 + 42*f + 52. Let j(n) = 7*n**2 - 43*n - 55. Let b(p) = -4*j(p) - 5*w(p). Let b(i) = 0. What is i?
-1, 20
Let t = -517 + 521. Let j(x) be the second derivative of 0*x**2 + 1/20*x**5 - 1/8*x**t + 1/12*x**3 - x + 0. Factor j(y).
y*(y - 1)*(2*y - 1)/2
Let y(z) = 82*z**3 - 78*z**2 + 18*z + 8. Let a(x) = -x**3 - x. Let n be 7 + 3/(-1) + -14. Let j(g) = n*a(g) - y(g). Factor j(k).
-2*(3*k - 2)**2*(4*k + 1)
Let x(w) be the second derivative of -w**5/420 - w**4/56 - 7*w**2 - 14*w. Let i(p) be the first derivative of x(p). What is d in i(d) = 0?
-3, 0
Suppose 5*g = -5*w + 15, 1 - 5 = -2*g - 3*w. Let i be -2 + 0/8 - 5*-1. Factor 3*s**2 - 2*s**2 - 3*s**3 - 5*s**3 + g*s**i.
-s**2*(3*s - 1)
Let j(v) be the first derivative of v**3/27 + v**2/18 - 2*v/9 + 83. Solve j(l) = 0.
-2, 1
Let j(v) be the third derivative of 1/120*v**6 + 1/12*v**3 + 0 + 0*v + 0*v**4 - 14*v**2 - 1/40*v**5. Factor j(l).
(l - 1)**2*(2*l + 1)/2
Solve 40*o**5 - 5*o**3 + o**3 - 36*o + 239*o**4 - 80*o**2 - 505*o**4 + 344*o**4 + 2 = 0 for o.
-1, 1/20, 1
Let o(t) = 4*t**2. Let k(g) = -11*g**2 - 17*g - 38. Let d(n) = -4*k(n) - 12*o(n). Factor d(b).
-4*(b - 19)*(b + 2)
Let l be 0/3*(9 + -10). Find g such that -1/3 + 1/3*g**2 + l*g = 0.
-1, 1
Let r be (-16 + 598/39)*-3. Solve 1/3*w**r + 0 - w**3 + 1/3*w - 5/3*w**4 - 2/3*w**5 = 0.
-1, 0, 1/2
Let w be 4/(-22)*3/(-12)*-9914. Let t = w + 451. Solve 2/11*h**4 + 0*h + 0 - t*h**3 + 0*h**2 = 0 for h.
0, 2
Let n = 95/7 + -71/14. Let q = n - 25/3. Factor 0*f**3 - q*f**4 - 1/6 + 0*f + 1/3*f**2.
-(f - 1)**2*(f + 1)**2/6
Let u(a) be the second derivative of 2*a + 32/45*a**6 + 0 + 2*a**2 + 35/9*a**3 + 5/63*a**7 + 12/5*a**5 + 37/9*a**4. Find g, given that u(g) = 0.
-3, -1, -2/5
Let h(f) be the first derivative of -4*f**3 + 2*f**2 - 17 + 0*f + 5/4*f**4. Find d, given that h(d) = 0.
0, 2/5, 2
Let q(i) be the second derivative of -3*i**5/20 + 9*i**4/4 - 9*i**3 + 2*i + 3. Determine x so that q(x) = 0.
0, 3, 6
Let q = -3464 + 3464. Factor -4/3*k - 2*k**2 + q.
-2*k*(3*k + 2)/3
Let y(w) be the second derivative of 13*w**4/6 - 14*w**3/3 + w**2 + 452*w. Factor y(b).
2*(b - 1)*(13*b - 1)
Let x(n) be the second derivative of 3*n**5/70 + 5*n**4/14 - 13*n**3/7 + 3*n**2 - 401*n. Factor x(h).
6*(h - 1)**2*(h + 7)/7
Factor 39 + 7*k**2 - 12*k**2 - 42*k + 2*k**2 + 6*k.
-3*(k - 1)*(k + 13)
Let l(r) = -2*r**4 - 14*r**3 + 12*r**2 + 16*r - 14. Let c(w) = -4*w**4 - 14*w**3 + 13*w**2 + 17*w - 15. Let x(y) = 2*c(y) - 3*l(y). Factor x(z).
-2*(z - 6)*(z - 1)**2*(z + 1)
Determine o so that 6 + 10*o + 2*o**3 - 4*o**3 - 4*o**2 + 6*o**2 = 0.
-1, 3
Let r = 84 - 81. Let w = 18/19 - -21/38. Determine h so that -w*h**4 - 9/2*h + 9/2*h**r - 3/2*h**2 + 3 = 0.
-1, 1, 2
Let y(j) = -j**4 - j**3 + j**2 - j. Let b(x) = -20*x**4 + 152*x**3 - 1380*x**2 - 7744*x - 8464. Let z(l) = -b(l) + 16*y(l). Determine d, given that z(d) = 0.
-2, 23
Let o(p) be the second derivative of 0*p**5 + 0*p**4 + 0 + 1/40*p**6 + 7*p + 0*p**3 - 9/2*p**2. Let c(z) be the first derivative of o(z). Factor c(m).
3*m**3
Let v(k) be the first derivative of -k**4/5 - 2*k**3/3 + 18*k**2/5 + 943. Factor v(a).
-2*a*(a - 2)*(2*a + 9)/5
Factor 2/3*r**2 + 18*r + 0.
2*r*(r + 27)/3
Suppose 2/5*r**2 + 16 - 44/5*r = 0. What is r?
2, 20
Let c(f) = 9*f**2 - 5*f - 5. Let b be c(-1). Suppose 4*z = 3*v + 5*z - 9, -3*v + 5*z = b. Determine a so that 3/5*a**v + 0 + 1/5*a**4 + 0*a + 4/5*a**3 = 0.
-3, -1, 0
Let s(y) be the first derivative of -5*y**8/336 + y**7/42 + y**6/24 - y**5/12 - y**2 + 14. Let d(f) be the second derivative of s(f). Factor d(o).
-5*o**2*(o - 1)**2*(o + 1)
Let f(r) = 9*r**2 + 89*r - 86. Let t(m) = 7*m**2 + 89*m - 87. Let d(b) = 3*f(b) - 4*t(b). Factor d(s).
-(s - 1)*(s + 90)
Let o(v) = 12*v - 2 + 7 - 21*v**2 - 18*v - 20*v**2. Let d(c) = -61*c**2 - 9*c + 7. Let j(i) = -5*d(i) + 7*o(i). Factor j(x).
3*x*(6*x + 1)
Let p(s) be the third derivative of 0*s**4 + 0*s + 0*s**6 + 3/112*s**8 + 3*s**2 - 3/70*s**7 + 0 + 0*s**3 + 1/45*s**5. Factor p(u).
u**2*(3*u - 2)**2*(3*u + 1)/3
Let g(o) be the second derivative of -o**7/210 + o**6/30 - 3*o**5/100 - o**4/12 + 2*o**3/15 - 197*o. What is h in g(h) = 0?
-1, 0, 1, 4
Find w such that 8/5*w**2 + 2/15*w**3 + 14/3*w + 16/5 = 0.
-8, -3, -1
Let c(z) = -2*z**3 - 14*z**2 - 12*z + 4. Let p(x) = -x**3 - x**2 + 1. Let v(j) = -c(j) + 4*p(j). Factor v(h).
-2*h*(h - 6)*(h + 1)
Suppose 26*l + 24 = 32*l. Factor -2*m**5 - 6*m - m**4 + 3*m**3 - 3*m**4 + 9*m**2 - 5*m**l + 5*m**5.
3*m*(m - 2)*(m - 1)**2*(m + 1)
Factor 1/7*o**3 + 8/7*o**2 + 19/7*o + 12/7.
(o + 1)*(o + 3)*(o + 4)/7
Let i = -4/11 + 80/99. Let o = i + 73/18. Find m such that 0*m + 0 + 3/2*m**5 - 3/2*m**2 - 9/2*m**4 + o*m**3 = 0.
0, 1
Let 32*a**4 - 39*a**3 + 6*a**5 + 79*a**3 - 6 - 6 - 20*a**2 - 46*a + 3*a**5 - 3*a**5 = 0. Calculate a.
-3, -2, -1, -1/3, 1
Let r be (-5)/(-35) + (1461/(-819) - -2). Let x(p) be the first derivative of 3 + 9/13*p**2 - 4/13*p - r*p**3. Factor x(v).
-2*(v - 1)*(7*v - 2)/13
Let b(y) = -y**3 - 9*y**2 + 7*y + 63. Let a be b(-9). Let c(o) be the second derivative of -o**2 + 0*o**4 - 1/2*o**3 + 1/20*o**5 + a - 11*o. Factor c(j).
(j - 2)*(j + 1)**2
Let o(h) be the first derivative of -7*h**5/5 + 37*h**4/4 - 22*h**3 + 22*h**2 - 8*h + 68. Factor o(i).
-(i - 2)**2*(i - 1)*(7*i - 2)
Let q(j) = 3*j + j**3 - 9*j - 3 + 8*j. Let g(f) = -f**2 - f + 2. Let r(t) = -3*g(t) - 2*q(t). Determine z, given that r(z) = 0.
0, 1/2, 1
Factor -41/5*g - 8 - 1/5*g**2.
-(g + 1)*(g + 40)/5
Let h(l) be the third derivative of 19*l**2 + 1/39*l**4 + 0*l + 1/390*l**5 + 0*l**3 + 0. Determine c so that h(c) = 0.
-4, 0
Let i(r) = 21*r**3 + 125*r**2 - 133*r + 26. Let a(y) = -10*y**3 - 62*y**2 + 66*y - 12. Let j(w) = -13*a(w) - 6*i(w). Factor j(l).
4*l*(l - 1)*(l + 15)
Factor 0 + 12/5*g**2 - 3*g**4 - 18/5*g**3 + 24/5*g - 3/5*g**5.
-3*g*(g - 1)*(g + 2)**3/5
Suppose -5*s = -3*h + 2*h + 24, -s = -2*h + 12. Factor -64*r**2 - 3*r**5 - 24 - 14*r**h - 10*r**4 - 50*r**2 - 59*r**3 - 16*r**3 - 84*r.
-3*(r + 1)**2*(r + 2)**3
Let l(h) be the third derivative of -h**5/330 - h**4/33 + 4*h**3/11 - 272*h**2. Factor l(x).
-2*(x - 2)*(x + 6)/11
Let l(w) = 3*w**2 + 3*w**2 - 3*w - w**3 + 29 - 36. Let j be l(5). Determine t, given that 1/5*t**5 + 0*t + 2/5*t**j + 0 - 3/5*t**4 + 0*t**2 = 0.
0, 1, 2
Let x be (76 + -19)*10/6. Let n = x + -283/3. Find v such that 32/3 + 16/3*v + n*v**2 = 0.
-4
Let g be 12 - 2 - (-28)/(840/(-282)). Determine y, given that 1/5 + 2/5*y**2 - g*y**4 + 2/5*y**3 - 3/5*y + 1/5*y**5 = 0.
-1, 1
Let w(t) be the second derivative of t**3/6 - 3*t**2/2 - 3*t. Let o be w(3). Factor -2*s**3 + s - 2*s**4 + 0 + o*s**2 + s**5 + 0 + 4*s**2 - 2.
(s - 2)*(s - 1)**2*(s + 1)**2
Let r(w) be the second derivative of 7/10*w**6 + 0*w**2 + 4*w**3 + 0 + 27/10*w**5 - 3*w + 1/14*w**7 + 5*w**4. Suppose r(p) = 0. What is p?
-2, -1, 0
Let t be ((-459)/1530)/((-3)/5). Factor 2*l**3 + t*l**4 + 2*l + 1/2 + 3*l**2.
(l + 1)**4/2
Let k(a) be the third derivative of -a**10/30240 + a**9/5040 - a**8/3360 - a**4/8 - 15*a**2. Let u(z) be the second derivative of k(z). Solve u(n) = 0 for n.
0, 1, 2
Let u(s) be the third derivative of -5*s**8/336 + s**7/42 + s**6/12 - s**5/6 - 5*s**4/24 + 5*s**3/6 + 348*s**2. Factor u(c).
-5*(c - 1)**3*(c + 1)**2
Let z(b) be the first derivative of -8*b + 5 - 14/5*b**5 - 16*b**2 - 50/3*b**3 - 19/2*b**4 - 1/3*b**6. Factor z(i).
-2*(i + 1)**3*(i + 2)**2
Suppose -56*s + 57*s = -54. Let y = 57 + s. Let 4*r**4 - 4/5 - 18/5*r - 16/5*r**2 + 18/5*r**y = 0. What is r?
-1, -1/2, -2/5, 1
Let j(b) = b**2 - 7*b. Let x be j(7). Suppose 3*p = y + 6, p - 56 + 22 = -5*y. Factor 2 + 2*a**2 - y*a + 4*a**2 + 0*a**2 - 2*a**3 + x*a**2.
-2*(a - 1)**3
Let l(s) = -s**3 + 5*s**2 - 3*s - 4. Let k be l(3). Factor 3 - 8*f**2 + 0*f**2 + k*f**2 + 3*f**3 - 3*f + 0*f**2.
3*(f - 1)**2*(f + 1)
Let g(q) = -