= 0. Calculate o.
-6, -1, -2/5
Let i be (76/(-12))/(3/3)*-3. Suppose -3*v - 14 = -l, i - 1 = -l - 5*v. Let 300*j**l + 0*j + 17*j + 3 - 75*j**2 + 375*j**3 + 28*j = 0. Calculate j.
-1/5
Suppose -9*n = -14*n + g + 8, 4*n - 5*g = -23. Let z(f) be the first derivative of 0*f + 4/3*f**n + 40 + 10*f**2. Find a such that z(a) = 0.
-5, 0
Factor 624100/7 - 1576/7*l**2 + 2/7*l**3 + 308890/7*l.
2*(l - 395)**2*(l + 2)/7
Suppose 200*t + 3 - 3 = 0. Let o(p) be the second derivative of 0*p**2 + 0*p**5 - 1/399*p**7 + 2/57*p**4 + 0*p**3 + t + 11*p - 1/95*p**6. Factor o(w).
-2*w**2*(w - 1)*(w + 2)**2/19
Let i(v) be the second derivative of 3*v**2 - 9/4*v**3 - 3/40*v**5 + 2*v + 3/4*v**4 - 22. Factor i(r).
-3*(r - 4)*(r - 1)**2/2
Let o(c) be the second derivative of 1/32*c**4 - 5*c + 27/16*c**2 - 3/8*c**3 - 14. Factor o(r).
3*(r - 3)**2/8
Let x(p) be the first derivative of -p**7/3360 + p**6/720 + 7*p**5/480 + p**4/24 + 40*p**3 + 20. Let h(c) be the third derivative of x(c). Factor h(j).
-(j - 4)*(j + 1)**2/4
Let l(d) be the second derivative of -5*d**4/12 - 6485*d**3 - 75699405*d**2/2 - 10830*d. Solve l(s) = 0 for s.
-3891
Let h(c) be the first derivative of 2*c**3/9 - 28*c**2 + 2806*c/3 - 5435. Factor h(w).
2*(w - 61)*(w - 23)/3
Let q(t) be the third derivative of -4*t**2 + 1/60*t**5 - 8 + 11/6*t**3 + 0*t + 1/2*t**4. Factor q(l).
(l + 1)*(l + 11)
Let n(r) be the first derivative of 1/2*r**3 - 3/4*r**4 + 3/2*r**2 + 130 - 3/10*r**5 + 0*r. Find v such that n(v) = 0.
-2, -1, 0, 1
Suppose -2*d = 4*b - 440, -2*b - 4*d = 3*b - 556. Find f such that -b - 2*f**3 + 2568*f**2 + 36*f - 2*f**3 - 2556*f**2 = 0.
-3, 3
Factor -1073598 - 102524*s**3 + 2516*s**4 - 289328*s**3 + 674174 - 1190692*s**2 - 1195744*s - 4*s**5.
-4*(s - 316)**2*(s + 1)**3
Let j(r) be the third derivative of r**5/60 - 635*r**4/4 + 1209675*r**3/2 + 2*r**2 - 42*r + 5. Determine z so that j(z) = 0.
1905
Let u(r) be the second derivative of 1/3*r**3 - 1/2*r**4 + 0*r**2 + r + 3/10*r**5 - 1/15*r**6 - 46. Let u(p) = 0. What is p?
0, 1
Factor -24300/7 + 7020/7*z - 78/7*z**3 - 3/7*z**4 + 33/7*z**2.
-3*(z - 5)**2*(z + 18)**2/7
Let m(g) = -3*g**3 + 7*g**2 + 4. Let k(v) be the third derivative of v**6/120 - v**5/30 - v**3/6 + 2*v**2 + 23*v. Let w(h) = 4*k(h) + m(h). Factor w(p).
p**2*(p - 1)
Let f = 300 + -404. Let p be (f/(-273))/(36/42). Solve 4/9 + 10/9*x + p*x**2 = 0.
-2, -1/2
Let w = 1475 - -1043. Let a = w - 2491. Factor -183/2*c**2 - a*c**3 - 3/2*c**4 - 150 + 270*c.
-3*(c - 1)**2*(c + 10)**2/2
Let u(q) be the third derivative of -q**6/180 - 7*q**5/60 - q**4 + 17*q**3/2 + 56*q**2. Let m(n) be the first derivative of u(n). What is k in m(k) = 0?
-4, -3
Let g(i) be the third derivative of -i**8/560 - 3*i**7/70 + 71*i**6/200 - 93*i**5/100 + 19*i**4/20 - 7997*i**2. Find l such that g(l) = 0.
-19, 0, 1, 2
Factor 1260*r - 3*r**4 + 0*r**4 - 4301*r**3 + 4*r**4 + 4900 + 4283*r**3 - 59*r**2.
(r - 14)**2*(r + 5)**2
Let t(z) = 8*z**2 + 44*z - 8. Suppose l + 7*n = 2*n, -25 = -4*l + 5*n. Let k(u) = -9*u**2 - 43*u + 10. Let y(f) = l*t(f) + 4*k(f). Factor y(c).
4*c*(c + 12)
Let h = -184 - -462. Suppose h*d - 278*d - 6*d**2 + d**4 - d**3 = 0. What is d?
-2, 0, 3
Let c(n) be the second derivative of -14*n - 5/24*n**4 + 0*n**2 - 1/72*n**6 + 0 - 4/3*n**3 + 1/12*n**5. Let d(p) be the second derivative of c(p). Factor d(b).
-5*(b - 1)**2
Find l such that -3/7*l**4 + 96*l**2 - 669/7 - 666/7*l**3 + 666/7*l = 0.
-223, -1, 1
Let i be (-965)/386*(-81)/45. Solve -9/2*n**3 - 3/2*n**2 + 3/2*n**4 + i*n + 0 = 0 for n.
-1, 0, 1, 3
Factor 64005*u**2 - 17*u**3 + 172*u**3 + 0*u**4 - 5*u**4 - 64925*u**2.
-5*u**2*(u - 23)*(u - 8)
Let m(j) be the first derivative of -1/6*j**2 + 1/6*j**4 - 1/18*j**6 + 71 + 1/3*j + 1/15*j**5 - 2/9*j**3. Factor m(l).
-(l - 1)**3*(l + 1)**2/3
Let x(z) be the third derivative of z**7/630 - 2*z**5/15 - 103*z**4/24 - 151*z**2. Let u(q) be the second derivative of x(q). Factor u(f).
4*(f - 2)*(f + 2)
Factor -108/5*h**4 + 0*h + 228/5*h**3 + 0 - 116/5*h**2 - 4/5*h**5.
-4*h**2*(h - 1)**2*(h + 29)/5
Suppose -2*q + 321 = -23. Let r = q - 170. Find n, given that -4/7 - 1/7*n**r + 5/7*n = 0.
1, 4
Let u(k) = -k**5 + 7*k**4 + 27*k**3 - 27*k**2 - 50*k + 2. Let n(p) = -3*p**4 + p**2 - 1. Let c(q) = -10*n(q) - 5*u(q). What is t in c(t) = 0?
-5, -1, 0, 2, 5
Let m = -286511 - -1432559/5. Solve 0*s + 4/5*s**3 + m*s**2 + 0 = 0.
-1, 0
Let h(r) be the third derivative of -r**9/35280 + r**8/3136 - r**7/980 - 25*r**4/6 + 216*r**2. Let i(v) be the second derivative of h(v). Factor i(k).
-3*k**2*(k - 3)*(k - 2)/7
Let q(a) be the first derivative of a**6/90 - 11*a**5/15 + 11*a**3 - 65. Let y(s) be the third derivative of q(s). Solve y(j) = 0.
0, 22
Let l(o) be the first derivative of -29 + o**4 + 40/7*o**2 - 104/21*o**3 + 32/7*o. Solve l(z) = 0 for z.
-2/7, 2
Let y(m) be the third derivative of -m**7/105 + 9*m**6/20 + 7*m**5/30 - 65*m**4/4 + 54*m**3 + 3*m**2 + 207*m. Suppose y(q) = 0. What is q?
-3, 1, 2, 27
Let d(r) = r**5 + 4*r**3 - r**2 + r. Let w(k) = 4*k**5 + 10*k**4 - 27*k**3 + k**2 + 55*k. Let t(f) = -15*d(f) + 5*w(f). Find g, given that t(g) = 0.
-13, -1, 0, 2
Let u = -2/29 + 64/87. Suppose -7424 = 80*h - 7584. Determine j so that -u*j - 2/3*j**3 + 0 + 4/3*j**h = 0.
0, 1
Suppose -552*k = -804 - 300. Suppose 52/7*c**k - 48/7*c + 0 - 4/7*c**3 = 0. Calculate c.
0, 1, 12
Let l(q) be the first derivative of q**6/2 - 17*q**5/15 - 11*q**4/12 + 17*q**3/9 + q**2/3 + 2669. Let l(f) = 0. Calculate f.
-1, -1/9, 0, 1, 2
Let y(t) = 34 + 29 + 2*t - 26. Let n be y(-21). Let g(a) = 25*a**2 - 5*a. Let c(z) = z**3 - 24*z**2 + 4*z. Let r(u) = n*c(u) - 4*g(u). What is f in r(f) = 0?
0, 4
Suppose 5*l + 15 = 3*u, -2*u - 15 = -0*u + 5*l. Suppose 36*b**3 + u*b - 12*b + 4*b**4 + 58 + 6 + 156*b + 112*b**2 = 0. Calculate b.
-4, -2, -1
Let b be (-442)/24089 - (-22256)/1090. Factor -867/5 - b*r - 3/5*r**2.
-3*(r + 17)**2/5
Let x be 1/(-20) + 7/28. Let w = -250 + 1252/5. Determine v, given that 1/5*v**2 + x + w*v = 0.
-1
Let 24 + 214/3*s + 22*s**3 - 2/3*s**4 + 70*s**2 = 0. Calculate s.
-1, 36
Let v(a) be the first derivative of -5*a**3/12 + 1515*a**2/4 - 459045*a/4 + 534. Let v(u) = 0. What is u?
303
Let k = -66651397/185 - -360279. Let t = -14/37 + k. Let -t*d + d**3 + 8/5 - 1/5*d**4 - 6/5*d**2 = 0. What is d?
-1, 2
Let a(m) = -m**3 + m**2 + 9*m + 16. Let v be a(4). Suppose -2*k**3 + 9*k**3 + 20*k - 3*k**5 - 3*k**v - 6*k**2 - 25*k - 7*k**4 + 17*k**3 = 0. What is k?
-5, -1/3, 0, 1
Let w(p) = 6*p**3 - 88*p**2 + 620*p - 1298. Let d(z) = 7*z**3 - 86*z**2 + 620*z - 1297. Let i(l) = 2*d(l) - 3*w(l). Solve i(g) = 0 for g.
5, 13
Let w be (10/35)/((-10)/15)*350/(-75). Factor 0 + 3/4*q**w - 27/2*q.
3*q*(q - 18)/4
Let c(v) be the first derivative of 0*v**3 + 0*v**2 - 2/5*v**5 + 209 + 5/7*v**4 + 0*v + 1/21*v**6. Determine r so that c(r) = 0.
0, 2, 5
Let z(t) be the third derivative of 1/120*t**5 + 0*t - 1/420*t**7 - 1/72*t**4 + 0*t**3 + 0 + 1/720*t**6 - 177*t**2 + 1/2016*t**8. Factor z(b).
b*(b - 2)*(b - 1)**2*(b + 1)/6
Let q(r) be the third derivative of -r**5/180 - 23*r**4/24 - 34*r**3/9 + 1602*r**2. Factor q(j).
-(j + 1)*(j + 68)/3
Let x be -1*4 - 1 - ((-141858)/396)/71. Let h(a) be the first derivative of 1/66*a**6 + 0*a**2 + 0*a**3 + 0*a + 14 + 1/55*a**5 - x*a**4. Solve h(c) = 0 for c.
-2, 0, 1
Suppose 58/7*t**2 - 2/7*t + 2/7*t**3 - 58/7 = 0. What is t?
-29, -1, 1
Let 0*u - 10*u**2 + 15/2*u**4 - 5/2*u**5 + 0*u**3 + 0 = 0. What is u?
-1, 0, 2
Let o(s) be the second derivative of 0*s**2 - 15 + 2*s - 1/15*s**6 - 1/2*s**5 + 1/6*s**4 + 5/3*s**3. Find d such that o(d) = 0.
-5, -1, 0, 1
Factor 5*p**3 + 217*p + 75*p**2 + 18*p + 684 - 519.
5*(p + 1)*(p + 3)*(p + 11)
Let t(u) be the second derivative of u**6/120 + 33*u**5/80 + 317*u**4/48 + 245*u**3/8 + 225*u**2/4 + 544*u. Solve t(f) = 0.
-15, -2, -1
Let h = -5294 + 5294. Let j(w) be the third derivative of 0*w + 1/60*w**6 + 2/9*w**3 + 8/135*w**5 - 31/108*w**4 + h + 40*w**2. Suppose j(z) = 0. Calculate z.
-3, 2/9, 1
Let p(a) be the third derivative of -a**5/180 - 21*a**4/8 - 460*a**3/9 + 14*a**2 + 55*a. Solve p(k) = 0.
-184, -5
Let f(y) be the third derivative of -y**8/168 - 8*y**7/3 - 37*y**6/2 - 166*y**5/3 - 1105*y**4/12 - 92*y**3 - 2*y**2 + y - 15. Determine m, given that f(m) = 0.
-276, -1
Factor 1/3*f**2 + 426 - 1279/3*f.
(f