 + 3)*(m + 22)/3
Suppose -13*o = -18*o + 15. Suppose o*t - 3*f = -0*f - 12, 0 = -4*t + 5*f - 20. Factor t*b**4 - 6*b**3 - 30 - 2*b**2 + 8*b**4 + 30.
2*b**2*(b - 1)*(4*b + 1)
Suppose 19*y - 78 = 17. Suppose 0 = 2*d + d + y*w - 35, -d + 7 = -3*w. Solve -4*n - 20*n**2 - 12*n - d - 6*n - 5*n**3 - 3*n = 0 for n.
-2, -1
Let c = 196 - 201. Let w(m) = 6*m**2 - 2*m - 3. Let y(l) = l**2. Let p(j) = c*y(j) + w(j). Factor p(r).
(r - 3)*(r + 1)
Let u be (8/30)/4 - ((-7106)/2805)/(-38). Suppose 1/2*z**2 + 0*z + 0*z**3 - 1/2*z**4 + u = 0. Calculate z.
-1, 0, 1
Suppose -142*g = -136*g - 12. Solve -968 - 3*x**2 + 11*x**g + 88*x - 10*x**2 = 0.
22
Let o(f) = 96*f + 488. Let c be o(-5). Suppose 0 = -2*m + 5 + 1. Factor n**3 + 7 + m*n**5 - 6*n**3 - n**4 + c*n - 3 + n**2 - 2*n**5.
(n - 2)**2*(n + 1)**3
Find u, given that 5*u**5 - 2242*u**2 + 324*u + 4530*u**2 - 2130*u**2 - 151*u**4 - 3*u**5 - 326*u**3 - 7*u**4 = 0.
-2, -1, 0, 1, 81
Let o(u) be the first derivative of 49*u**4/12 + 13888*u**3/9 - 3974*u**2/3 + 1136*u/3 - 7045. Suppose o(i) = 0. Calculate i.
-284, 2/7
What is x in -321*x - 34347/2 - 3/2*x**2 = 0?
-107
Let m(z) be the third derivative of 4/3*z**4 + 1/168*z**8 - 16/15*z**5 + 2/5*z**6 + 0 + 0*z**3 - 6*z**2 - 8/105*z**7 + 0*z. Factor m(d).
2*d*(d - 2)**4
Let q(c) be the second derivative of 121/10*c**5 + 9*c**2 + 55/6*c**4 - 231*c - 19*c**3 + 0. What is g in q(g) = 0?
-1, 3/11
Let s(p) be the second derivative of -2 + 13*p + 123/10*p**5 - 1/14*p**7 + 87/2*p**3 - 32*p**4 - 9/5*p**6 - 33*p**2. Solve s(j) = 0.
-22, 1
Let x(y) be the second derivative of -5*y**7/42 + 18*y**6 - 213*y**5/4 + 265*y**4/6 - 2*y - 1725. Factor x(l).
-5*l**2*(l - 106)*(l - 1)**2
Let -42/11*p + 0 - 4/11*p**2 = 0. Calculate p.
-21/2, 0
Factor -2/5*l**5 + 0*l**2 + 0 + 6/5*l**3 + 0*l - 4/5*l**4.
-2*l**3*(l - 1)*(l + 3)/5
Let k(d) be the first derivative of 1/4*d**3 - 27/8*d**2 - 14 + 27/2*d. Factor k(v).
3*(v - 6)*(v - 3)/4
Let w = -2948/3 + 5899/6. Factor 0 - 13/6*k**2 - w*k - 2/3*k**3.
-k*(k + 3)*(4*k + 1)/6
Suppose -1312*x + 13 - 64 = -1329*x. Let p(k) be the first derivative of k**4 + x + 0*k**2 - 2/3*k**6 - 4/3*k**3 + 0*k + 4/5*k**5. Factor p(d).
-4*d**2*(d - 1)**2*(d + 1)
Let m = -1/62040 + 1939/15510. Suppose 1/2*z**2 + m*z**3 - 1/8*z - 1/2 = 0. Calculate z.
-4, -1, 1
Suppose -2*y + 3*h = 5*h - 4, 0 = -5*y + 2*h + 17. Suppose 35*c - 4*c - 8*c - 20*c**y + 22*c - 25*c**2 = 0. What is c?
-9/4, 0, 1
Factor -1/9*s**2 - 109/3 - 112/9*s.
-(s + 3)*(s + 109)/9
Let n(x) be the third derivative of x**7/42 + 107*x**6/3 + 46222*x**5/3 + 151940*x**4 + 604920*x**3 - 6884*x**2 - 1. Let n(i) = 0. Calculate i.
-426, -2
Let u(g) = 4*g**2 + 50*g + 46. Let l(k) = k**2 + 2*k + 1. Suppose -10 = -13*f - 23. Let j(w) = f*u(w) + 2*l(w). What is x in j(x) = 0?
-22, -1
Let l(s) be the first derivative of -2/15*s**5 - 38 + 0*s**2 + 0*s - 7/12*s**4 + 4/9*s**3. Determine x so that l(x) = 0.
-4, 0, 1/2
Suppose -99 + 144 = 15*t. Let n = 12 + 14. Suppose -14 + 5*r**t - 12 + n = 0. Calculate r.
0
Let x(w) be the first derivative of 1517*w - 24*w**2 - 1568*w - 277 - w**3 + 2*w**3. Factor x(z).
3*(z - 17)*(z + 1)
Let b = -1 - -10. Suppose -b*r + 12*r = 9. Factor -n**3 + r*n - 2*n**2 - 6*n**3 + 3*n**3 + 2*n**4 + n**5.
n*(n - 1)**2*(n + 1)*(n + 3)
Let x(u) be the first derivative of -u**3/9 + 169*u**2/4 - 503*u/3 + 3218. Factor x(n).
-(n - 2)*(2*n - 503)/6
Let q = 6/371 - 2304/4823. Let s = 200/39 + q. Factor 0 - s*v**2 + 2/3*v - 16/3*v**3.
-2*v*(v + 1)*(8*v - 1)/3
Factor 60*m**4 - 100*m**3 - 192*m**2 - 130*m**4 + 68*m**4.
-2*m**2*(m + 2)*(m + 48)
Suppose -q = 244*q. Factor -2/7*j**4 + 0*j**3 + 6/7*j**2 + q + 4/7*j.
-2*j*(j - 2)*(j + 1)**2/7
Let y(v) be the first derivative of v**8/336 - v**7/105 - v**6/40 + 2*v**5/15 - v**4/6 + 53*v**2/2 - 34. Let g(q) be the second derivative of y(q). Factor g(a).
a*(a - 2)*(a - 1)**2*(a + 2)
Let t be (-4)/6 - (-42)/9. Suppose 28 + 44 = 9*n. Factor t*v - 2*v**3 - 7*v**3 + n*v**2 - 8 + 5*v**3.
-4*(v - 2)*(v - 1)*(v + 1)
Suppose 5*v - 31 = 4*f, 6*f + 36 = 448*v - 444*v. Let m(c) = 4*c - 19. Let p be m(6). Factor -4/3*i**v - 2/3 + 4/3*i**4 - 1/3*i**p - 2/3*i**2 + 5/3*i.
-(i - 2)*(i - 1)**3*(i + 1)/3
Let p(c) = -c**2 - 277*c + 11623. Let h be p(37). What is w in 9*w - 27/2*w**2 + h*w**3 - 1/2*w**4 + 0 = 0?
0, 1, 3, 6
Let f(w) be the first derivative of -w**4/2 - 328*w**3/3 - 644*w**2 - 1280*w + 2458. What is s in f(s) = 0?
-160, -2
Let f(k) be the third derivative of -k**7/210 + 17*k**6/60 + 37*k**5/15 + 19*k**4/3 + 7*k**2 + 59. Factor f(a).
-a*(a - 38)*(a + 2)**2
Let a(v) = -4*v**2 + 19776*v - 4880224. Let b(h) = -h**2 + 3955*h - 976051. Let o(n) = -3*a(n) + 16*b(n). Suppose o(s) = 0. What is s?
494
Let t(s) be the third derivative of -s**6/72 + 5*s**5/12 - 35*s**4/8 - 247*s**3/6 + s**2 + 91. Let k(d) be the first derivative of t(d). Factor k(r).
-5*(r - 7)*(r - 3)
Suppose 4*k + 11 = -3*j, k = -5*j + 3*k + 25. Factor l + 1330*l**4 - l - 2*l**j - 1332*l**4.
-2*l**3*(l + 1)
Let o(b) be the first derivative of 4*b**6/3 + 66*b**5/25 - b**4/2 - 62*b**3/15 - 3*b**2 - 4*b/5 - 520. Suppose o(q) = 0. What is q?
-1, -2/5, -1/4, 1
Suppose -5 = -8*x - 85. Let g = x + 13. What is a in 5*a**4 + 60*a - 10*a**g + 19 - 20*a - 39 - 15*a**2 = 0?
-2, 1, 2
Let t be (-25966)/(-14616) - (-2 + 4). Let r = -1/812 - t. Let 2/9*q**3 - 2/9*q**5 + 0 + 2/9*q**2 - r*q**4 + 0*q = 0. What is q?
-1, 0, 1
Let j(n) be the first derivative of n**5/30 - 7*n**4/4 - 145*n**3/18 + 75*n**2/2 - 1561. Let j(d) = 0. What is d?
-5, 0, 2, 45
Let -2000/21 - 3560/21*f**2 - 8/3*f**4 - 124/3*f**3 - 4750/21*f + 2/21*f**5 = 0. What is f?
-5, -1, 40
Let 16/3*c + 8/3 + 2/3*c**2 - 2*c**3 = 0. What is c?
-1, -2/3, 2
Let h = 6837/52 + -1706/13. Factor -27/4 + h*n**3 - 9/4*n + 3/4*n**2.
(n - 3)*(n + 3)**2/4
Let f(s) be the first derivative of -52*s**3/3 + 190*s**2 - 112*s + 384. Find d such that f(d) = 0.
4/13, 7
Let u(n) be the second derivative of -n**5/10 + 17*n**4/3 + 295*n**3/3 - 328*n**2 - 2*n + 10. What is b in u(b) = 0?
-8, 1, 41
Let t(x) be the second derivative of -x**6/540 - x**5/30 + 7*x**4/36 + 95*x**3/6 - 2*x - 19. Let u(h) be the second derivative of t(h). What is b in u(b) = 0?
-7, 1
Let b(z) = -2*z**3 + 1796*z**2 - 457056*z + 42049152. Let i(k) = k**3 - 908*k**2 + 228528*k - 21024576. Let c(o) = -4*b(o) - 7*i(o). Factor c(g).
(g - 276)**3
Factor 1/7*x**3 - 150/7*x**2 - 457/7*x - 306/7.
(x - 153)*(x + 1)*(x + 2)/7
Let z(b) = -280*b**4 - 1116*b**3 + 656*b**2 - 16*b - 16. Let n(t) = 57*t**4 + 223*t**3 - 131*t**2 + 3*t + 3. Let q(k) = -16*n(k) - 3*z(k). Factor q(x).
-4*x**2*(2*x - 1)*(9*x + 32)
Suppose 535*r = 532*r - z + 1, 0 = 5*r + 2*z + 2. Let v = 2323/358 + 2/179. Determine c so that r*c**2 + 3 - v*c - 1/2*c**3 = 0.
1, 6
Let c(v) = v**4 + 4*v**3 + 27*v**2 - 16*v - 28. Let w(g) = 2*g**4 + 2*g**3 + 26*g**2 - 18*g - 28. Let u(d) = 4*c(d) - 3*w(d). Find s, given that u(s) = 0.
-2, -1, 1, 7
Let o be (-706)/(-13*2/(-52)). Let a = o + 1414. Factor 2/5*q + 0*q**a - 1/5*q**4 + 1/5 - 2/5*q**3.
-(q - 1)*(q + 1)**3/5
Suppose -p - 166*o = -167*o + 1, 5*o = -10. Let j be p/8*(-18)/(-81)*-6. Suppose j*q**3 + 0 - 3/2*q**2 + q = 0. Calculate q.
0, 1, 2
Find m such that -4082*m**2 + 114*m**4 - 114*m**3 - 236*m - 2*m**5 + 100*m**3 + 252*m**3 + 3968*m**2 = 0.
-2, -1, 0, 1, 59
Let s(z) be the third derivative of 0 - 5/18*z**5 - 5/9*z**3 + 0*z - 1/24*z**6 - 5/8*z**4 + 41*z**2. Factor s(k).
-5*(k + 1)*(k + 2)*(3*k + 1)/3
Let g be -17 + 2296/136 + 4/34. Let m(n) be the first derivative of 45 + 0*n + g*n**2 + 1/14*n**4 + 2/21*n**3. Factor m(a).
2*a**2*(a + 1)/7
Suppose 3*q - 4*z = 20, -4*q + 2*z - 12 = -8*q. What is w in 6*w**4 - 5*w**q + 6*w**2 + 0*w**4 - 10*w**2 = 0?
-2, 0, 2
Let l(j) be the third derivative of j**6/40 + 29*j**5/10 - 119*j**4/8 + 30*j**3 - 659*j**2. Suppose l(m) = 0. Calculate m.
-60, 1
Let q = 32445 - 32445. Suppose 9/8*a**4 - 21/8*a**2 + q*a + 3/8*a**3 - 3/8*a**5 + 3/2 = 0. Calculate a.
-1, 1, 2
Let k(w) be the second derivative of -7*w**4/16 + 12*w**3 + 21*w**2/2 - 213*w. Factor k(m).
-3*(m - 14)*(7*m + 2)/4
Let f(s) = 14*s**3 + 27*s**2 + s - 37. Let t(k) = -8*k**3 - 13*k**2 - k + 19. Let p be (-41)/41*-6*(0 - -1). Let c(q) = p*f(q) + 10*t(q). Factor c(o).
4*(o - 1)*(o + 1)*(o + 8)
Let q(v) be the third derivative of -v**6/