tive of -w**7/252 - w**6/20 + w**5/12 - 493*w. Find p, given that d(p) = 0.
-10, 0, 1
What is l in -4/7*l + 0 + 3*l**2 - 25/7*l**5 + 29/7*l**3 - 3*l**4 = 0?
-1, 0, 4/25, 1
Suppose -7*v**2 - 26*v**2 - 32*v**3 - 391*v**4 + 392*v**4 = 0. What is v?
-1, 0, 33
Suppose 2/3*a**3 + 32/3*a + 0 + 20/3*a**2 = 0. What is a?
-8, -2, 0
Let o be (-24)/54*3*-3. Let g(m) be the first derivative of o + 2/7*m + 6/7*m**3 - 6/7*m**2. Factor g(q).
2*(3*q - 1)**2/7
Let h(a) = 3*a - 4. Let f be h(2). Let r(x) be the first derivative of -5 + 0*x - 9/16*x**4 - 7/12*x**3 + 1/4*x**f. Factor r(k).
-k*(k + 1)*(9*k - 2)/4
Let j(n) be the second derivative of n**4/6 - n**3 + 5*n + 6. Find v, given that j(v) = 0.
0, 3
Suppose -11664/5*a**2 + 2/5*a**5 - 108/5*a**4 + 0*a + 0 + 1944/5*a**3 = 0. Calculate a.
0, 18
Let y(x) be the third derivative of 5*x**8/84 + 8*x**7/21 + 25*x**6/24 + 19*x**5/12 + 35*x**4/24 + 5*x**3/6 - 248*x**2. What is s in y(s) = 0?
-1, -1/2
Let d be ((-20)/30)/(30/(-18)). Find x, given that d*x**2 + 4/5 + 6/5*x = 0.
-2, -1
Let x = -957 - -957. Let j(a) be the second derivative of -1/5*a**5 + x + 3*a**4 + 32*a**2 - 16*a**3 - 6*a. Find k such that j(k) = 0.
1, 4
Let s(h) be the first derivative of -h**5/5 + 15*h**4/4 - 28*h**3 + 104*h**2 - 192*h - 75. Determine a so that s(a) = 0.
3, 4
Let t = -829/16 + 52. Let s(i) be the second derivative of 1/20*i**5 - t*i**4 + 1/4*i**3 - 1/8*i**2 - 5*i + 0. Find m such that s(m) = 0.
1/4, 1
Let x = 318503/350 + -910. Let u(n) be the third derivative of x*n**7 + 0*n**3 + 0*n**4 + 1/560*n**8 + 4*n**2 + 0*n + 3/200*n**6 + 1/100*n**5 + 0. Factor u(i).
3*i**2*(i + 1)**3/5
Factor -2/7*i**3 + 2*i**2 + 16/7 - 4*i.
-2*(i - 4)*(i - 2)*(i - 1)/7
Suppose 0*q = 4*q - 16. Factor -d**2 - 3*d - 16 - 23*d**3 + 3*d**3 + 4*d**5 + 35*d - 3*d**2 + 4*d**q.
4*(d - 1)**3*(d + 2)**2
Let m = 1696 + -3389/2. Find s such that 0 + s**2 + 1/2*s**4 - m*s**3 + 0*s = 0.
0, 1, 2
Solve -12/11*n - 10/11*n**2 + 0 + 12/11*n**3 + 10/11*n**4 = 0.
-6/5, -1, 0, 1
Let h(p) be the third derivative of p**6/960 - p**5/160 - 11*p**4/96 + p**3/2 + 109*p**2. Factor h(f).
(f - 6)*(f - 1)*(f + 4)/8
Let q(s) be the third derivative of 0*s - 1/50*s**5 + 0 - 1/15*s**3 + 18*s**2 - 1/300*s**6 - 1/20*s**4. Determine x, given that q(x) = 0.
-1
Suppose -320*k**2 + 40*k**3 + 0 + 0*k - 5/4*k**4 = 0. What is k?
0, 16
Factor -8*a - 2 + 9/2*a**2.
(a - 2)*(9*a + 2)/2
Let t be (-3)/9 + -32*(-1)/6. Let m(v) be the second derivative of -t*v + 0*v**2 + 0*v**5 + 0 + 1/16*v**4 - 1/40*v**6 + 0*v**3. What is p in m(p) = 0?
-1, 0, 1
Let f(a) = 416*a - 4160. Let p be f(10). Suppose -1/2*u**2 + 0 + p*u + 1/2*u**3 = 0. What is u?
0, 1
Let q(n) be the first derivative of n**3/15 + 204*n**2/5 + 41616*n/5 - 514. Factor q(w).
(w + 204)**2/5
Let g(p) be the second derivative of -p**4/12 + p**2/2 + 11*p. Let s(h) = -2*h**3 - 13*h**2 - 16*h - 5. Let r(u) = -3*g(u) + s(u). Solve r(m) = 0 for m.
-2, -1
Factor -5*z**2 + 24 - 24 + 50 - 45*z.
-5*(z - 1)*(z + 10)
Suppose -5*n + 73 = -102. Factor 24 + n*t**2 - 3*t + 2*t**4 + 9*t - 62*t - 16*t**3 + 11*t**2.
2*(t - 3)*(t - 2)**2*(t - 1)
Let s = 48 - 45. Let 3*h**4 + 19*h**3 + 14*h**2 + 32*h**3 - 39*h**s + 6*h + h**2 = 0. What is h?
-2, -1, 0
Let u(p) = 5*p**2 - 71*p - 1363. Let j(z) = -2*z**2 - z - 2. Let b(c) = 12*j(c) + 4*u(c). Factor b(n).
-4*(n + 37)**2
Let h(y) be the first derivative of 2*y**3/27 - 100*y**2/9 + 5000*y/9 + 204. Factor h(b).
2*(b - 50)**2/9
Let d(a) = -6*a**4 + 13*a**3 + 36*a**2 - 61*a + 18. Let p(v) = v**4 - 2*v**3 - 6*v**2 + 10*v - 3. Let u(s) = 6*d(s) + 39*p(s). Factor u(n).
3*(n - 1)**3*(n + 3)
Let r(h) be the second derivative of 8*h**7/105 + h**6/10 - h**5/15 + 3*h**2 + 10*h. Let a(k) be the first derivative of r(k). Determine j so that a(j) = 0.
-1, 0, 1/4
Let x = 219 + -219. Suppose x = 3*u - 118 + 118. Suppose 1/4*y**4 + u + y**2 - y**3 + 0*y = 0. Calculate y.
0, 2
Let h be 3*-2*(-1)/2. Let d = -15 - -19. Suppose 5*p - 3*p**h - 4*p + d*p**3 + 2*p**2 = 0. Calculate p.
-1, 0
Let x be (-7 - 413/(-63))*6/(-8). Let l(n) be the third derivative of x*n**3 + 0*n**4 - 1/30*n**5 + 0 + 0*n - 8*n**2. Let l(m) = 0. What is m?
-1, 1
Suppose 0 = -l + 4*t + 16, l + t = -4 + 15. Let r = 16 - l. Let -3*s + 0*s - r*s**2 + 46 - 45 = 0. Calculate s.
-1, 1/4
Let c(v) be the first derivative of v**3/4 - 261*v**2/2 + 22707*v + 262. Factor c(h).
3*(h - 174)**2/4
Let b(f) = -2*f**2 + 4*f + 4. Let h(k) = k**3 - 3*k**2 + 8*k + 8. Let j(q) = -14*b(q) + 6*h(q). Determine r so that j(r) = 0.
-2, -2/3, 1
Let j = -48619/5 + 9725. Factor 2/5*t**4 + j*t + 14/5*t**2 + 0 + 2*t**3.
2*t*(t + 1)**2*(t + 3)/5
Suppose -3*u - 4*a = -28, -3*u - 32 = -4*a - 4. Solve -8/7*j**3 - 2/7*j**4 + 0*j - 8/7*j**2 + u = 0 for j.
-2, 0
Let i(y) be the third derivative of y**6/480 - 23*y**5/240 + 13*y**4/32 + 21*y**3/8 - 199*y**2. Let i(b) = 0. Calculate b.
-1, 3, 21
Suppose 11*t = 5844 + 10898. Let m = -13678/9 + t. What is x in -8/9 + 28/9*x**2 - m*x = 0?
-2/7, 1
Let i(r) = 7*r**5 + 3*r**4 - 16*r**3 - 25*r**2 + 51*r - 20. Let o(m) = -m**5 + m**4 + m**2 - m. Let x(c) = -i(c) - 5*o(c). Suppose x(b) = 0. What is b?
-5, -2, 1
Let u(d) be the second derivative of -3*d**4 + 1/189*d**7 + 11/15*d**5 - 24*d - 13/135*d**6 - 9*d**2 + 0 + 7*d**3. Factor u(k).
2*(k - 3)**4*(k - 1)/9
Let y(j) be the first derivative of -2*j**5/35 + 13*j**4/14 - 22*j**3/21 - 13*j**2/7 + 24*j/7 - 15. Solve y(r) = 0 for r.
-1, 1, 12
Let d(a) = -575*a**2 + 195*a. Let i(l) = 41*l**2 - 17*l. Let g(h) = -h. Let q(m) = 3*g(m) - i(m). Let c(s) = 4*d(s) - 55*q(s). Factor c(f).
-5*f*(9*f - 2)
Find h, given that 18*h + 27/2*h**3 + 6 - 75/2*h**2 = 0.
-2/9, 1, 2
Let b = -69/13 + 535/91. Let m(k) be the second derivative of -5/42*k**4 - 8/21*k**3 - 1/70*k**5 + 0 - 10*k - b*k**2. Determine r so that m(r) = 0.
-2, -1
Let s(l) be the third derivative of l**8/84 - 4*l**7/105 - 2*l**6/5 + 6*l**5/5 + 9*l**4/2 - 61*l**2. Factor s(x).
4*x*(x - 3)**2*(x + 1)*(x + 3)
Let g = -271 - -815/3. Let w(y) be the second derivative of 3/2*y**4 + y + 0 + g*y**3 + 0*y**2. Find n such that w(n) = 0.
-2/9, 0
Let o(x) be the third derivative of -x**9/26880 + x**8/2688 - x**7/6720 - x**6/160 + x**5/5 - 10*x**2. Let n(f) be the third derivative of o(f). Solve n(b) = 0.
-2/3, 1, 3
Let c be (-47)/846 + 249/594. Factor -26/11*f**3 + c*f**2 + 0 + 0*f.
-2*f**2*(13*f - 2)/11
Let b(a) = -a**3 + a**2 - 2. Let w(k) = k**4 + 11*k**3 - 15*k**2 + 22. Let p(j) = -44*b(j) - 4*w(j). Factor p(t).
-4*t**2*(t - 2)*(t + 2)
Let n = -7604/15 - -507. Let x(b) be the first derivative of 4 - 2/5*b**2 - 4/5*b - n*b**3. Factor x(p).
-(p + 2)**2/5
Let x(r) be the third derivative of r**7/420 - 2*r**6/15 + 89*r**5/120 - 29*r**4/24 - r**2 + 22. Factor x(m).
m*(m - 29)*(m - 2)*(m - 1)/2
Let v(a) = -13*a + 705. Let p be v(54). Let 0 + 2/3*r**2 - 1/9*r**p + 0*r - 1/3*r**5 - 10/9*r**4 = 0. Calculate r.
-3, -1, 0, 2/3
Let y(w) = -3*w + 30. Let f be y(11). Let x(h) = 9*h**2 - 9*h - 3. Let j(m) = m**3 - 10*m**2 + 10*m + 2. Let n(g) = f*j(g) - 2*x(g). What is o in n(o) = 0?
0, 2
Suppose -6*v - 21 = -3. Let t be (-266)/(-228) + 2/v. Suppose 0 + 0*r - r**2 + t*r**3 = 0. What is r?
0, 2
Let i(t) = -t**2 - 26*t + 471. Let f be i(12). Factor -f*g**4 - 69/8*g**3 - 9/8*g**2 + 0*g + 6*g**5 + 0.
3*g**2*(g - 3)*(4*g + 1)**2/8
Let j(b) be the first derivative of 18*b + 2/3*b**3 - 6*b**2 - 4. Let j(u) = 0. Calculate u.
3
Let t be ((-3)/10)/(-3)*31 + 15/(-150). Determine z, given that 0*z + 0 - 9/2*z**t - 3/2*z**4 - 3*z**2 = 0.
-2, -1, 0
Let v be (-36)/4 - (8 - 22). Let w(l) be the second derivative of -13*l + 3/10*l**v + 0 - 1/80*l**6 - 3*l**4 - 48*l**2 + 16*l**3. Factor w(q).
-3*(q - 4)**4/8
Let u(h) = 5*h**3 + 72*h**2 - 2*h + 2. Let n(a) = -a**3 + a - 1. Let j(p) = 2*n(p) + u(p). Factor j(o).
3*o**2*(o + 24)
Let g(i) = -3*i**2 + 2*i + 2. Let a be g(-1). Let k be 1*2 + -6 + (a - -7). Factor k*u + 1/3 - 1/3*u**2.
-(u - 1)*(u + 1)/3
Let r(n) be the second derivative of -n**9/7560 - n**8/672 - n**7/420 + n**6/40 - 3*n**4/4 + 20*n. Let j(d) be the third derivative of r(d). Factor j(z).
-2*z*(z - 1)*(z + 3)**2
Let k be -35*3*8/60. Let h be k/4*(-16)/14. Suppose -h + 0 + 8 - 8*v + 2*v**2 + 4 = 0. Calculate v.
2
Let f(u) = -6*u**4 + 18*u**3 + 21*u**2 - 18*u - 15. Let s(z) = -z**4 + z**3 - z + 1. Let b(r) = -