 + 87*w - 2862. Let p(o) = o**3 + 17*o**2 + 22*o - 716. Let v(d) = -9*p(d) + 2*s(d). Solve v(l) = 0 for l.
-12, 5
Let o(s) be the second derivative of s**6/30 + 31*s**5/20 + 23*s**4/2 + 106*s**3/3 + 52*s**2 - s + 57. Factor o(j).
(j + 1)*(j + 2)**2*(j + 26)
Let b(u) be the first derivative of -u**6/1440 + u**5/480 + u**4/48 - 3*u**3 - 3. Let j(d) be the third derivative of b(d). Let j(c) = 0. Calculate c.
-1, 2
Suppose -3*u + 14 = 4*q - 2*q, -4*q + 6 = -5*u. Suppose -q*f**2 + 61*f**5 + 4*f**4 + f**3 - 63*f**5 + f**3 = 0. Calculate f.
-1, 0, 1, 2
Let l(c) be the first derivative of c**7/189 + c**6/135 - c**5/90 - c**4/54 + 2*c + 2. Let j(g) be the first derivative of l(g). Factor j(x).
2*x**2*(x - 1)*(x + 1)**2/9
Suppose -4/15*g - 64/5*g**3 + 0 - 10/3*g**2 - 78/5*g**4 = 0. What is g?
-1/3, -2/13, 0
Let z be 0 - (-20)/(3 + 1). Factor -a + 25*a**2 - 21*a - z*a**3 + 6*a - 5*a**4 + a.
-5*a*(a - 1)**2*(a + 3)
Solve -6/5*s**3 - 24/5 + 2*s**4 + 56/5*s - 34/5*s**2 - 2/5*s**5 = 0 for s.
-2, 1, 2, 3
Let y(h) be the third derivative of -h**6/240 - h**5/30 - h**4/16 + 2*h**2 + 3*h. Find g such that y(g) = 0.
-3, -1, 0
Let s(d) be the third derivative of d**6/1020 + 3*d**5/170 + 5*d**4/68 - 25*d**3/51 - 20*d**2. Determine l so that s(l) = 0.
-5, 1
Suppose -4*i - 51 = -71. Determine w so that 0*w + 0*w**2 + 1/4*w**i + 0 - 3/4*w**4 + 1/2*w**3 = 0.
0, 1, 2
Factor -d**2 - 72*d**3 + 62*d**3 - 2*d**4 - 11*d**2 + 16 + 8*d.
-2*(d - 1)*(d + 2)**3
Let h = 1087/135 + -212/27. Find y such that -h*y**5 - 2/5*y**2 + 2/5*y**4 + 1/5*y**3 + 0 + 0*y = 0.
-1, 0, 1, 2
Let h(g) be the first derivative of g**6/24 - 5*g**5/12 + 5*g**4/12 + 20*g**3/3 + 28*g**2 - 6. Let l(w) be the second derivative of h(w). Factor l(a).
5*(a - 4)*(a - 2)*(a + 1)
Let j = -103 - -159. Let c = -111/2 + j. Factor -2/3*d + c*d**2 + 1/6.
(d - 1)*(3*d - 1)/6
Factor 0 + 4/11*q - 2/11*q**2.
-2*q*(q - 2)/11
Let w = -469 - -473. Solve 1/3*b - w + 1/3*b**2 = 0 for b.
-4, 3
Let y(v) be the third derivative of -v**5/20 + v**3/2 + 70*v**2. Factor y(z).
-3*(z - 1)*(z + 1)
Let x(o) be the third derivative of -o**7/12600 - o**6/1200 - o**5/300 - o**4/24 - 8*o**2. Let s(d) be the second derivative of x(d). Factor s(a).
-(a + 1)*(a + 2)/5
Let z(v) be the second derivative of 13*v**5/10 - 23*v**4/6 + 7*v**3/3 + 3*v**2 + 155*v + 1. Solve z(d) = 0.
-3/13, 1
Suppose 0 = 2*x - 1 + 5. Let r = x - -9. Determine h so that 5*h**5 + 27*h**3 - 3*h - 22*h**3 + 15*h**4 - 15*h**2 - r*h = 0.
-2, -1, 0, 1
What is p in -93*p**2 + 4*p**3 + p**4 + 4*p**3 + 100*p**2 = 0?
-7, -1, 0
Factor -48 + 6*l + 5*l**2 - l**2 - 3*l**2 - 2*l - 6*l.
(l - 8)*(l + 6)
Factor -2/7*u**2 - 204/7*u + 0.
-2*u*(u + 102)/7
Let a(v) = 2*v**2 + 178*v + 3200. Let b(f) = -3*f. Let x(g) = -a(g) - 6*b(g). Let x(k) = 0. Calculate k.
-40
Let d be (-2 + 110/33)*3. Solve 0*p**3 + 0 + 15/4*p**2 - 5/4*p**d - 5/2*p = 0 for p.
-2, 0, 1
Let t(d) be the second derivative of -3*d + 0*d**2 + 3/2*d**3 + 7/240*d**6 - 1/8*d**4 + 1/16*d**5 + 0. Let y(j) be the second derivative of t(j). Factor y(h).
3*(h + 1)*(7*h - 2)/2
Let i(s) = 31*s**3 + 25*s**2 - 56*s. Let y(g) = 11*g**3 + 8*g**2 - 19*g. Let u(b) = 6*i(b) - 17*y(b). Determine n so that u(n) = 0.
0, 1, 13
Determine r so that 23*r + 92*r + 14*r**2 - 22*r**2 + 8*r**2 + r**2 = 0.
-115, 0
Let -40/3 + 94/3*d**2 + 52/3*d**3 - 106/3*d = 0. Calculate d.
-5/2, -4/13, 1
Let g be ((-8)/(-40))/(2*8/20). Factor 0 + g*v**2 - 1/4*v.
v*(v - 1)/4
Suppose p + 2*h = 6, -30 = 4*p + 5*h - 45. Let m(q) be the third derivative of 1/72*q**4 + 0*q + p*q**3 - q**2 + 0 + 1/360*q**5. Find o, given that m(o) = 0.
-2, 0
Factor 112716 - 97*k - 431*k - 42*k - 920*k - 1711 + 5*k**2.
5*(k - 149)**2
Find x, given that 1/4*x**4 - 7/4*x**2 - 1/2*x**3 + 2*x + 3 = 0.
-2, -1, 2, 3
Suppose 0 = 2*s - 3*k + 1 + 1, 4*k = -4*s - 24. Let b = s - -6. Determine y, given that 14*y**3 + 0*y - y - b + 2*y**2 - 13*y**3 = 0.
-2, -1, 1
Suppose 28*s - 99 + 15 = 0. Let l(b) be the second derivative of 0*b**3 - s*b - 1/4*b**4 + 0 + 0*b**2. Suppose l(n) = 0. What is n?
0
Let s(g) = 4*g**3 - 6*g**2 + 3*g. Let y(u) = -u**2 + u. Let l(x) = -x + 2. Let a be l(-4). Let w(j) = a*y(j) - 3*s(j). Determine d, given that w(d) = 0.
0, 1/2
Factor 152/15 + 8/15*k - 38/15*k**2 - 2/15*k**3.
-2*(k - 2)*(k + 2)*(k + 19)/15
Suppose -4*q + 4*w + 300 = 0, 0 = -3*q - 3*w + 13 + 206. Let r be 37/q*(-8)/(-3). Factor 14/3*m**5 + 32/3*m**2 + 68/3*m**3 + 52/3*m**4 - r - 2/3*m.
2*(m + 1)**4*(7*m - 2)/3
Let x be 0/((-7)/((-7)/(-3))). Suppose 3*i - 4*s = -0 - 3, -s = 4*i - 15. Solve 2/3*z + x + 1/3*z**2 - 1/3*z**4 - 2/3*z**i = 0.
-2, -1, 0, 1
Let i(v) be the third derivative of v**6/420 + 3*v**5/7 + 675*v**4/28 - 207*v**2. Factor i(x).
2*x*(x + 45)**2/7
Let l(x) = -x**2 - 7*x + 8. Let f be l(-5). Factor -6 + f - o + 4*o**2 + 7*o + 10*o.
4*(o + 1)*(o + 3)
Let w = 16 + -17. Let j be w/(((-64)/(-40))/(6/(-15))). Factor 1/4 + j*x**3 - 1/4*x - 1/4*x**2.
(x - 1)**2*(x + 1)/4
Let i = -14 - -16. Let k be 4/(-20) + (-221)/(-5). Factor 38*z**3 - 6*z**2 + 0 - k*z**2 + i*z**5 - 14*z**4 + 29*z - 8 + 3*z.
2*(z - 2)**2*(z - 1)**3
Let d(f) be the first derivative of f**4/5 - 4*f**3/5 - 18*f**2/5 - 4*f + 141. Solve d(q) = 0 for q.
-1, 5
Suppose -9 = -4*y - g - 0, 2*y + 2*g - 6 = 0. Let p be (42/(-9) - -3) + 4/y. Suppose 1/3*r**4 + 0 - 1/3*r**3 - p*r**2 + 1/3*r = 0. What is r?
-1, 0, 1
Suppose -1978 = a - 11804. Suppose -94*t - 3468*t**2 - 16 + 234*t + a*t**3 + 268*t = 0. Calculate t.
2/17
Let m = -9217 - -9220. Find f such that 2/3*f**2 + 0 + 13/3*f**m + 0*f = 0.
-2/13, 0
Let h(r) be the third derivative of -r**5/100 - r**4/40 + 3*r**3/5 + 33*r**2. Solve h(i) = 0 for i.
-3, 2
Let m be -32 + 28 - (1 - 7). Factor -2/5*r - 4/5 + 4/5*r**m + 2/5*r**3.
2*(r - 1)*(r + 1)*(r + 2)/5
Let n(v) be the second derivative of -v**7/6300 + v**6/225 - 4*v**5/75 - v**4 + 10*v. Let t(u) be the third derivative of n(u). What is h in t(h) = 0?
4
Let y(v) be the third derivative of v**5/100 + v**4/40 - 6*v**3/5 + v**2 + 2. Suppose y(n) = 0. What is n?
-4, 3
Let i = 11695/10566 - -5/1174. Find u such that -i*u**3 + 2/9*u**5 - 2/9*u**2 - 8/9 + 16/9*u + 2/9*u**4 = 0.
-2, 1
Let r(i) be the first derivative of i**4/24 + 7*i**3/3 + 33*i**2 - 484*i/3 + 70. Determine c so that r(c) = 0.
-22, 2
Let u(k) be the third derivative of 1/150*k**5 + 0 + 0*k**4 + 0*k**3 - 1/525*k**7 - 34*k**2 + 1/300*k**6 + 0*k - 1/840*k**8. Determine d so that u(d) = 0.
-1, 0, 1
Factor -4*f**3 + 4*f - 67 + 24*f**2 - 19 - 56 + 22.
-4*(f - 5)*(f - 3)*(f + 2)
Factor 3*p**2 + 67*p + 0*p**2 - 37*p - 117.
3*(p - 3)*(p + 13)
Find q such that -10000/9 - 32/3*q**3 - 2104/9*q**2 - 1/9*q**4 + 3200/3*q = 0.
-50, 2
Suppose -4*c + 31 = 3*g - 3*c, 2*c = g - 1. Suppose 3*q - 6 = g. Determine x so that q*x**2 - 3*x**2 + 6 + x**2 - x - 8*x = 0.
1, 2
Let r(k) be the second derivative of -k**5/360 - k**4/9 - 16*k**3/9 - 16*k**2 - 21*k. Let d(z) be the first derivative of r(z). Let d(b) = 0. What is b?
-8
Let o(d) be the second derivative of -52*d**4/3 - 35*d**3 - d**2 - 154*d - 3. Solve o(g) = 0 for g.
-1, -1/104
Solve 3*x + 16*x**2 - 4*x**3 - 4*x**3 + 9*x - 4*x**5 - 10*x**4 - 6*x**4 = 0 for x.
-3, -1, 0, 1
Let x(h) be the first derivative of 5/36*h**4 + 2/3*h**2 + 9 + 1/60*h**5 + 10*h + 4/9*h**3. Let p(r) be the first derivative of x(r). Let p(u) = 0. Calculate u.
-2, -1
Let y = 116/27 + -38/9. Let o = 17/135 + y. Factor 0*a - 1/5*a**3 + 0 + 0*a**2 - o*a**4.
-a**3*(a + 1)/5
Suppose -3*n - 14 = x, 2 = -2*n - 0*n + 3*x. Let l be -3 - ((-464)/(-28))/n. Factor -4/7 - 4/7*f**2 - l*f.
-4*(f + 1)**2/7
Let n(b) be the third derivative of 0 + 0*b**3 - 1/14*b**4 - 2*b**2 + 1/105*b**5 + b. Factor n(v).
4*v*(v - 3)/7
Factor -384/7*n - 2/7*n**3 - 52/7*n**2 - 576/7.
-2*(n + 2)*(n + 12)**2/7
Let k(u) be the second derivative of -3*u**5/70 + 43*u**3/7 + 18*u**2 + 365*u. Determine m so that k(m) = 0.
-6, -1, 7
Factor 0 + 20/7*d**3 + 8/7*d**2 + 0*d.
4*d**2*(5*d + 2)/7
Let u = -2734 + 35544/13. Let 2/13 + u*k**2 + 4/13*k = 0. What is k?
-1
Suppose -r + 25 = 4*r. Suppose -5*b = r*a - 5, -a - 2 - 5 = -b. Let 5/4*d - 1/2 + d**b - d**3 - 1/4*d**5 - 1/2*d**2 = 0. What is d?
-1, 1, 2
Let p(f) be the second derivative of 0 - 5/6*f**3 + 1/120*f**5 - 1/1440*f**6 - 1/32*f**4 + 0*f**2 - 7*f. Let u(j) be the second derivative of 