 7 - 6 - (-4 - -1). Let n(u) be the third derivative of u**3 + 1/20*u**5 + 0*u + 4*u**2 + 0 + 11/24*u**l. Solve n(y) = 0.
-3, -2/3
Let x be 507/(-238) + (9 - -3)/4. Let m = -15/34 + x. Factor 15/7*i**3 + 0 + m*i**4 + 24/7*i**2 + 12/7*i.
3*i*(i + 1)*(i + 2)**2/7
Let a = -57 - -302. Let d be (-14)/4*(-20)/a. What is l in d*l**2 + 0 + 0*l**3 - 2/7*l**4 + 0*l = 0?
-1, 0, 1
Let z(s) be the second derivative of -s**4 + 2*s**3/3 - s**2/6 + 5*s - 44. Suppose z(g) = 0. Calculate g.
1/6
Let i(r) be the first derivative of -2*r - 1 + 0*r**5 + 0*r**3 + 1/36*r**4 - 1/90*r**6 + 0*r**2. Let j(g) be the first derivative of i(g). Factor j(v).
-v**2*(v - 1)*(v + 1)/3
Suppose 5 = 27*l - 76. Let j(p) be the second derivative of 0*p**4 - 1/50*p**5 + 0*p**2 + 1/15*p**l + 7*p + 0. Factor j(v).
-2*v*(v - 1)*(v + 1)/5
Let w(r) be the third derivative of r**6/60 + 77*r**5/450 + 7*r**4/18 + 8*r**3/45 + 88*r**2. Determine c so that w(c) = 0.
-4, -1, -2/15
Let b(f) be the third derivative of -1/180*f**5 + 0 - 8*f**2 - 1/9*f**4 - 8/9*f**3 + 0*f. Factor b(o).
-(o + 4)**2/3
Let h = 15 + -12. Let a be 1 - (-6 + h) - 2. Factor 4*r + 9*r + a*r**2 + 6 - 5*r.
2*(r + 1)*(r + 3)
Suppose -190/3*g**2 - 9*g**5 - 24 + 260/3*g + 90*g**4 - 75*g**3 = 0. What is g?
-1, 2/3, 9
Let j(o) = -o - 9. Let h be j(-19). Suppose 6*v = h + 8. Let -2/11*m**2 + 0 + 0*m + 4/11*m**v - 2/11*m**4 = 0. Calculate m.
0, 1
Let j(a) = -a**3 + 2*a**2 - a + 4. Let p(d) = -3*d**3 + 5*d**2 - 3*d + 11. Suppose -5*f = -7 - 13. Let q(u) = f*p(u) - 11*j(u). What is k in q(k) = 0?
-1, 0
Let u be (-49)/(-5) + (66/(-6) - -2). Suppose 864/5 + 72/5*d**2 + u*d**3 + 432/5*d = 0. Calculate d.
-6
Let c = 191 + -191. Let m(r) be the second derivative of c - 3*r + 1/60*r**5 - 1/18*r**3 + 0*r**4 + 0*r**2. Find h such that m(h) = 0.
-1, 0, 1
Let j = -2/2303 - 85207/4606. Let w = j - -20. Find o such that -2*o**3 + 0 + 0*o - 1/2*o**2 - w*o**4 = 0.
-1, -1/3, 0
Let y(b) = 13*b + 67. Let n be y(-5). Let r(i) be the first derivative of -5 - 5*i**n + 5/3*i**3 + 0*i + 5/4*i**4. Factor r(t).
5*t*(t - 1)*(t + 2)
Let i(u) = -3*u**2 + 24*u - 43. Let n(o) be the first derivative of 2*o**3 - 24*o**2 + 87*o + 5. Let w(a) = 9*i(a) + 5*n(a). Factor w(k).
3*(k - 4)**2
Suppose -5*k + 20 = -0. Let 30*f - k*f**2 - 30 - f**2 - 10 = 0. Calculate f.
2, 4
Let n be 1 - -2 - 112/(-8). Let p be (n/6 + -3)*-4. Determine h, given that 1/3*h**2 + 0 + 0*h - p*h**3 = 0.
0, 1/2
Let x = 457/102 + 1/51. Let n be -2 - -6 - (10 + -8). Solve -x - 3*f - 1/2*f**n = 0.
-3
Let a(t) = 9*t**2 + 115*t + 210. Let g(q) = -2*q**2. Let n(h) = -a(h) - 2*g(h). Factor n(u).
-5*(u + 2)*(u + 21)
Let c = 31718 + -158586/5. Suppose -c + 1/2*u**5 - 19/10*u**3 + 14/5*u + 4/5*u**4 - 7/5*u**2 = 0. Calculate u.
-2, 2/5, 1
Let o(x) = -4*x**4 + 14*x**3 - 14*x**2 - 2*x. Let b(f) = 12*f**4 - 41*f**3 + 41*f**2 + 7*f. Let a(h) = -2*b(h) - 7*o(h). Solve a(i) = 0.
0, 2
Let q(v) be the second derivative of 20*v - 1/70*v**5 + 1/147*v**7 + 0*v**2 + 0 - 1/21*v**4 + 2/105*v**6 + 0*v**3. What is l in q(l) = 0?
-2, -1, 0, 1
Let w(y) be the third derivative of -y**8/10080 + y**6/1080 + 5*y**4/12 + 24*y**2. Let n(d) be the second derivative of w(d). What is o in n(o) = 0?
-1, 0, 1
Let k(f) be the third derivative of 2/35*f**7 - 13/60*f**6 + 0*f**3 + 2/5*f**5 + 0*f + 0 - 1/3*f**4 + 49*f**2 - 1/168*f**8. Factor k(q).
-2*q*(q - 2)**2*(q - 1)**2
Factor -5 - 3 - 5 + 1 - 1012*l**2 - 178*l + 4 - 242*l**3.
-2*(l + 4)*(11*l + 1)**2
Let t(g) be the third derivative of g**5/240 + g**4/16 - 7*g**3/24 + 490*g**2. Factor t(h).
(h - 1)*(h + 7)/4
Let o be (-594)/(-12)*(0 + (-6)/(-9)). Let f(d) = -d**3 + 33*d**2 + d - 30. Let g be f(o). What is n in -1/2 - 1/2*n**g + 1/2*n**2 + 1/2*n = 0?
-1, 1
Let k(b) = 711*b - 7106. Let f be k(10). Factor 3/5*v**3 + 3/5*v**f - 3*v - 9/5*v**2 - 6/5.
3*(v - 2)*(v + 1)**3/5
Let j(n) be the second derivative of n**6/10 + 21*n**5/20 - n**4/4 - 7*n**3/2 - 347*n. Solve j(r) = 0 for r.
-7, -1, 0, 1
Let a(w) be the first derivative of -w**6/3 - 12*w**5/5 + w**4/2 + 76*w**3/3 - 64*w - 4. Solve a(j) = 0.
-4, -1, 1, 2
Factor 4/7 - 2*p + 8/7*p**3 - 10/7*p**2.
2*(p - 2)*(p + 1)*(4*p - 1)/7
Suppose -71*u + 27*u + 31*u + 39 = 0. Let -4/3*y**u - 2 + 8/3*y**2 - 2/3*y**4 + 4/3*y = 0. What is y?
-3, -1, 1
Let n(j) be the second derivative of -j**8/112 - j**7/840 + j**6/480 + 7*j**2/2 - 5*j. Let i(s) be the first derivative of n(s). Determine q so that i(q) = 0.
-1/3, 0, 1/4
Let z(x) be the second derivative of 16*x + 0*x**3 + 0*x**2 + 0*x**4 + 0 - 1/10*x**6 + 3/20*x**5. Let z(a) = 0. Calculate a.
0, 1
Suppose 160/11*j**2 + 0 + 24/11*j - 982/11*j**3 - 168/11*j**4 = 0. What is j?
-6, -2/21, 0, 1/4
Let o be -15 + 1425/38 + -21. Let o*l**3 + 0 - 1/2*l + l**4 + 0*l**2 = 0. What is l?
-1, 0, 1/2
Let d(a) be the first derivative of -a**5/20 - a**4/2 - 23*a**3/12 - 7*a**2/2 - 3*a - 10. Determine g, given that d(g) = 0.
-3, -2, -1
Factor -4*v**3 + 22 - v**3 + 3*v - 108*v + 68 + 40*v**2.
-5*(v - 3)**2*(v - 2)
Let y be (92/(-10) - -10)*10. What is t in 7/2*t**4 + 1/2*t**5 - y*t + 4*t**2 - 8 + 8*t**3 = 0?
-2, 1
Let k = 102 - 100. Factor 9*s**2 + 7*s**2 + 4*s - 4 - k - 14*s**2.
2*(s - 1)*(s + 3)
Let n(f) be the second derivative of -4*f**6/15 + f**5/5 + f**4/3 - 3*f - 17. What is h in n(h) = 0?
-1/2, 0, 1
Let a(l) = 12*l**2 - 192*l + 782. Let q(k) = 4*k**2 - 64*k + 261. Let v = -17 + 3. Let u(y) = v*q(y) + 5*a(y). Factor u(f).
4*(f - 8)**2
Let u(r) be the third derivative of 0*r - 1/108*r**5 + 2/27*r**3 + 23*r**2 + 0 - 1/27*r**4. Factor u(s).
-(s + 2)*(5*s - 2)/9
Let g(v) = v + 11. Let y be g(-9). Determine j so that j**2 + y*j**2 + j - 4*j**2 = 0.
0, 1
Let r(y) be the first derivative of -y**4/2 + 16*y**3/15 - 423. Factor r(o).
-2*o**2*(5*o - 8)/5
Let x(d) be the third derivative of 13*d**2 + 2/3*d**3 + 1/56*d**8 + 0*d - 1/12*d**4 - 2/15*d**7 - 2/5*d**5 + 0 + 11/30*d**6. Solve x(t) = 0.
-1/3, 1, 2
Let t(g) = -1 - 2*g + 1 - 3. Let x be t(-3). Let h(w) = 5*w**3 + w**2 - w + 3. Let i(o) = 26*o**3 + 4*o**2 - 6*o + 16. Let k(n) = x*i(n) - 16*h(n). Factor k(v).
-2*v*(v + 1)**2
Let w(b) = -7*b**2 + 7*b - 2. Let p(g) = -g**2. Let k be (-1)/(-2)*(-15 - -13). Let q(x) = k*w(x) + 2*p(x). Find y such that q(y) = 0.
2/5, 1
Let y be (460/(-325))/(6/(-45)). Factor 140/13*g**4 + 8/13*g + 50/13*g**5 + 0 + 56/13*g**2 + y*g**3.
2*g*(g + 1)**2*(5*g + 2)**2/13
Let o = 519 - 515. Let z(p) be the second derivative of -1/2*p**2 - 5/12*p**3 - 1/40*p**5 + 0 - 1/6*p**o - p. Factor z(d).
-(d + 1)**2*(d + 2)/2
Solve 12/5*m**3 + 0 - 48/5*m - 4/5*m**5 - 24/5*m**4 + 64/5*m**2 = 0 for m.
-6, -2, 0, 1
Factor -348/5*f - 78/5*f**2 + 3/5*f**3 - 72.
3*(f - 30)*(f + 2)**2/5
Let j(i) be the first derivative of -i**6/50 + 9*i**5/100 - 3*i**4/20 + i**3/10 - 7*i - 3. Let u(f) be the first derivative of j(f). Factor u(l).
-3*l*(l - 1)**3/5
Let y(b) be the first derivative of -7/11*b**4 - 4/11*b - 1/33*b**6 - 32/33*b**3 - 12/55*b**5 - 19 - 9/11*b**2. Let y(u) = 0. Calculate u.
-2, -1
Let x(n) be the first derivative of n**6/3 - 6*n**5/5 - 8*n**4 - 8*n**3 + 106. What is p in x(p) = 0?
-2, -1, 0, 6
Let i(f) be the second derivative of -f**5/10 + 2*f**4/3 - 4*f**3/3 + f + 68. Factor i(g).
-2*g*(g - 2)**2
Solve 2/11*o**2 + 16*o + 352 = 0 for o.
-44
Let b(u) be the second derivative of 5/6*u**4 - 28*u + 0 + 0*u**2 - 1/5*u**5 + 2/3*u**3 - 1/3*u**6. Factor b(i).
-2*i*(i - 1)*(i + 1)*(5*i + 2)
Factor 0*f**3 - 1/4*f**5 + 1/4*f + 0 - 1/2*f**4 + 1/2*f**2.
-f*(f - 1)*(f + 1)**3/4
Let j(u) be the first derivative of -u**4/8 - u**3 - 2*u**2 + 72. Let j(g) = 0. What is g?
-4, -2, 0
Let g = -107 + 90. Let m = -13 - g. Factor 0*f + 4/7*f**3 - 2/7*f**2 - 2/7*f**m + 0.
-2*f**2*(f - 1)**2/7
Factor -1849/3 - 1/3*z**2 + 86/3*z.
-(z - 43)**2/3
Let z(m) be the first derivative of -2*m**6/3 + 4*m**4 + 8*m**3/3 - 6*m**2 - 8*m - 110. Factor z(h).
-4*(h - 2)*(h - 1)*(h + 1)**3
Let w be (-10)/(-24) + -1 + (-2563)/44 + 59. Factor -1/6*n**2 - 1/3*n + w*n**3 + 0.
n*(n - 2)*(n + 1)/6
Let i be 1 + 2*(2 + -1). Determine g, given that 0 - 16 - 40*g + 3*g**3 + 0 - 17*g**i - 2*g**4 - 36*g**2 = 0.
-2, -1
Let p(a) be the second derivative of 5*a**6/3 - 9*a**5/2 + 61*a**4/24 + 3*a**3/2 + a**2/4 - 2*a - 19. Factor p(j).
(j - 1)**2*(10*j + 1)**2/2
Let g(y) be the third derivative of -y**7/105 - 9*y**6