- 4)*(a - 1)*(a + 2)/3
Let k be 0 + (10/8 - 1). Let x = 73720 + -294859/4. Solve -k*v**4 - 19/4*v - 9/4*v**3 - x*v**2 - 3/2 = 0.
-6, -1
Let v(o) be the second derivative of 0 - 1/6*o**5 - 13/6*o**3 + 0*o**4 + 0*o**2 - o + 1/72*o**6. Let a(s) be the second derivative of v(s). Factor a(l).
5*l*(l - 4)
Let i(n) = -n**3 + 79*n**2 + 81*n - 80. Let y be i(80). Let t(f) be the second derivative of y*f**2 - 11*f - 1/12*f**5 - 5/18*f**3 - 5/18*f**4 + 0. Factor t(w).
-5*w*(w + 1)**2/3
Suppose -13 = -3*p + 23. Suppose -3*g + 12 = -p. Solve g*q + 5*q**4 + 15 - 13 - q**5 - 6 + q**3 - 8*q**3 - q**2 = 0.
-1, 1, 2
Let q be (-4 - 1)*(6/15)/(-1). Factor -48 + 15*j - 2*j**3 + 17*j - q*j**3 + 2*j**2 + 2*j**2.
-4*(j - 2)**2*(j + 3)
Let g = -13 + 13. Suppose g = -5*v + 8 + 12. Determine p so that 74*p**3 - 17*p - 57*p**4 - 24*p**2 + 17*p**v + 4 + 3*p = 0.
-2/5, 1/4, 1
Suppose 2*s**2 - 334*s**2 + 9714754*s**4 + 544 - 9714758*s**4 - 548*s**3 + 548*s - 208*s**2 = 0. What is s?
-136, -1, 1
Let l be (2/(-4))/((-18)/(-216)) - (6 + -14). Let 0*f**l + 0 + 1/5*f**4 + 0*f - 1/5*f**3 = 0. What is f?
0, 1
Let s(o) be the first derivative of -4*o**3/3 + 34*o**2 - 120*o - 1579. Factor s(j).
-4*(j - 15)*(j - 2)
Let r(b) be the first derivative of b**5/25 + 21*b**4/4 + 2344*b**3/15 - 11424*b**2/5 - 25088*b/5 + 6863. Determine l so that r(l) = 0.
-56, -1, 8
Let l be (-3240)/(-192)*2 - 27. Factor -13/4 - 1/2*b**2 + l*b.
-(b - 13)*(2*b - 1)/4
Let b(m) = -19*m**2 + 29*m + 46. Let t(r) = 12*r**2 - 19*r - 31. Let w(z) = 5*b(z) + 8*t(z). Find p, given that w(p) = 0.
-2, 9
Let h be (10 - 0)/(((-1125)/(-30))/5). Factor -1/6*r**3 - 10/3*r + 8/3 + h*r**2.
-(r - 4)*(r - 2)**2/6
Let p(i) be the first derivative of -61/15*i**2 - 106/45*i**3 - 2/15*i**4 - 8/5*i + 52. Let p(o) = 0. Calculate o.
-12, -1, -1/4
Let n(u) be the second derivative of u**5/120 - u**4/4 + 5*u**3/12 + 17*u**2/6 + 947*u. Determine k, given that n(k) = 0.
-1, 2, 17
Let m = 88948/17 + -5232. Let f(w) be the second derivative of 36/17*w**2 + 1/102*w**4 - m*w**3 + 0 + 17*w. Solve f(j) = 0 for j.
6
Let j(q) = -2*q**2 + 301*q - 11317. Let n be j(75). Let -56/5*l**2 - 4/5*l**5 - 28/5*l + 32/5*l**3 + 16/5*l**4 + n = 0. Calculate l.
-2, -1, 1, 5
Suppose 110 - 321 = -2*s + 5*n, 3*s = n + 323. Suppose -94*k = -s*k + 28. Find h, given that -2/9*h - 2/9*h**k + 4/3 = 0.
-3, 2
Let h(v) be the first derivative of -2*v**5/65 + v**4/2 - 18*v**3/13 - 97*v**2/13 - 112*v/13 + 1750. Suppose h(x) = 0. What is x?
-1, 7, 8
Factor -2/5*z**5 - 792/5*z**3 + 0 - 268/5*z**4 - 788/5*z**2 - 262/5*z.
-2*z*(z + 1)**3*(z + 131)/5
Let w(j) = -9034*j - 45167. Let k be w(-5). Factor -4/3*y + 4/3*y**k - 4 + 35/9*y**2 + 1/9*y**4.
(y - 1)*(y + 1)*(y + 6)**2/9
Let h = -684/101 + 6560/909. Factor -h*j**3 - 2/3*j**2 + 8/9 + 2/9*j**4 + 8/9*j.
2*(j - 2)**2*(j + 1)**2/9
Let y(i) = i**3 + 838*i**2 - 34425*i - 72252. Let n(x) = -5*x**3 - 1675*x**2 + 68850*x + 144505. Let u(m) = -2*n(m) - 5*y(m). Find p such that u(p) = 0.
-2, 85
Let r(p) be the third derivative of -p**6/24 + 47*p**5/12 - 25*p**4 - 9750*p**3 - 108*p**2 + 9. Factor r(o).
-5*(o - 30)**2*(o + 13)
Let h(q) = -27*q**2 + 42*q. Suppose 3*s - 24 = -s. Let w(v) = -8*v + 25*v - s*v**2 - 5*v**2. Let a(k) = -5*h(k) + 12*w(k). Factor a(g).
3*g*(g - 2)
Let w be ((-200)/(-120))/(5/3) - (-2275)/245. Factor -6/7*x**3 - 96/7 + 0*x**2 + w*x.
-6*(x - 2)**2*(x + 4)/7
Suppose 5*p = 15, 68*c - 2*p = 63*c + 34. Let b(j) be the third derivative of 0*j + 0 + 1/36*j**4 - 1/90*j**5 + c*j**2 + 2/3*j**3. Factor b(f).
-2*(f - 3)*(f + 2)/3
Let i(w) = -3*w + 53. Let l be i(16). Determine x so that -720*x**3 - 160*x**4 - 4*x**5 - 1250*x**2 + 2*x**5 - 2*x**l - 955*x - x**5 - 137 - 133 = 0.
-27, -2, -1
Let o be ((88 + -88)/10)/(-20). Solve -25/3*p**3 + o - 23/3*p + 47/3*p**2 + 1/3*p**4 = 0.
0, 1, 23
What is h in 6657 + 6709 - 12946 + 3*h**2 - 117*h = 0?
4, 35
Let y be (18 - (-3 + 28))*(-52)/91. Factor 0*q**y + 0 + 8/7*q**3 - 1/7*q**5 + 0*q**2 - 16/7*q.
-q*(q - 2)**2*(q + 2)**2/7
Let w(g) be the second derivative of -2/5*g**2 + 1/30*g**4 + 0 - 1/15*g**3 - 11*g. Factor w(a).
2*(a - 2)*(a + 1)/5
Let j = -23/3360 - -1/112. Let l(z) be the third derivative of 0 + 1/12*z**4 + 1/6*z**3 + j*z**6 - 37*z**2 + 1/48*z**5 + 0*z. Factor l(b).
(b + 1)*(b + 2)**2/4
Let t(b) be the third derivative of -2*b**7/105 + 2333*b**6/30 - 604506*b**5/5 + 234547550*b**4/3 + 941821904*b**3/3 + 14*b**2 + 278. Find m such that t(m) = 0.
-1, 778
Let s(x) be the third derivative of 0*x**3 - 1/180*x**6 + 0*x - 25*x**2 + 1/1260*x**7 + 0*x**4 - 3 + 1/90*x**5. Factor s(i).
i**2*(i - 2)**2/6
Suppose 3*b - 30 + 6 = -2*n, 3*n = -5*b + 36. Suppose -36 = -3*l + 4*a - 0*a, l + 5*a - n = 0. Let 36 + 12*j**2 + 58*j - l - 14*j = 0. Calculate j.
-3, -2/3
Let o(x) be the first derivative of 117*x**4 + 3268*x**3/3 + 1376*x**2 - 48*x - 1314. What is b in o(b) = 0?
-6, -1, 2/117
Let c(y) be the third derivative of -y**6/480 - 23*y**5/120 + 2*y**2 - 15. Determine n so that c(n) = 0.
-46, 0
Let d = 279 - 273. Let j(k) = 2*k**3 - 10*k**2 - 37*k - 35. Let p(t) = 2*t**3 - 12*t**2 - 36*t - 34. Let u(c) = d*j(c) - 5*p(c). Factor u(i).
2*(i - 5)*(i + 1)*(i + 4)
Let b(i) be the second derivative of 5*i**5 - 235*i**4/3 + 1472*i**3/3 - 1536*i**2 + 4851*i. Find j, given that b(j) = 0.
3, 16/5
Let z = 1103089357/732755 + 4/146551. Let b = z + -1505. Factor -b - 1/5*s**2 - 3/5*s.
-(s + 1)*(s + 2)/5
Let g(l) be the second derivative of 1 - 25/4*l**2 - 3*l + 5/48*l**4 + 15/8*l**3. Solve g(p) = 0.
-10, 1
Let g(l) be the first derivative of 0*l + 41 + 28/33*l**3 + 8/55*l**5 - 23/22*l**4 + 5/11*l**2. Suppose g(k) = 0. Calculate k.
-1/4, 0, 1, 5
Let 204*h + 495*h - 3*h**2 - 73*h + 112*h - 45387 = 0. What is h?
123
Let i be (-2)/(-63)*35*(-9)/(-15). Let a(w) be the first derivative of -1/2*w**4 - 28 + i*w**3 - 2*w + w**2. What is g in a(g) = 0?
-1, 1
Let s be 1 - 7 - (1 - -37). Let y be (100/45)/(s/(-18)). Factor -y*v + 8/11*v**2 + 4/11 - 2/11*v**3.
-2*(v - 2)*(v - 1)**2/11
Let l be (3/(-4))/(48/(-4608)). Find v such that -4*v**2 - v**2 + 8*v**2 + 0*v**2 + 75*v + l = 0.
-24, -1
Let r(w) = -8*w**2 + 2*w + 14. Let h(y) = y**3 + 8*y**2 - 2*y - 15. Let l(j) = 2*h(j) + 3*r(j). Factor l(c).
2*(c - 3)*(c - 2)*(c + 1)
Suppose -10*w + 5/2*w**3 - 175/2*w**2 + 350 = 0. What is w?
-2, 2, 35
Let l = 9125/2134 - -239/1067. Factor 6 + l*b + 3/4*b**2.
3*(b + 2)*(b + 4)/4
Let l be 13710/(-180) - (0 - (-2)/(-12)). Let n be (-6)/36 - l/24. Factor -3/2*t - 9/2*t**2 + n.
-3*(t + 1)*(3*t - 2)/2
Let t = 16/699 - 519389/1398. Let k = 373 + t. Factor -k*v - 9/4 - 1/4*v**2.
-(v + 3)**2/4
Let t = 223517 + -223514. Suppose 0 - 2/5*a**4 + 1/10*a**5 + 1/2*a**t - 1/5*a**2 + 0*a = 0. Calculate a.
0, 1, 2
Suppose 183*v - 346 + 102 - 122 = 0. Let m be -1*6/(-5) - -2. What is h in m*h**3 - 288/5 + 16/5*h**v - 2/5*h**4 - 192/5*h = 0?
-2, 6
Suppose -2*a = -24*y + 27*y - 32, 2*y + 2*a = 22. Factor 35*h**3 + y*h**3 + 3785*h**2 - 5*h**3 - 3689*h**2 + 88*h + 28 + 4*h**4.
4*(h + 1)**3*(h + 7)
Let q(f) = 4*f - 54. Let p be q(14). Suppose 2*y = p*b + y, b = y - 2. Factor -5*t**3 - 27*t**2 - 5*t - 12*t**2 + 49*t**b.
-5*t*(t - 1)**2
Let q = 69 - 51. Let x(m) = m**2 - 18*m + 13. Let c be x(q). Suppose -c*i**2 + 11*i**3 + 15*i**4 - 7 - 5*i - 6*i + 5 = 0. What is i?
-1, -2/5, -1/3, 1
Let s be -3 + 0 + 1 + 28 + -4. Factor s*v + 8*v**2 + 3*v**4 - 57*v + 8 + 18*v**2 - 12*v**3 + 11*v - v**4.
2*(v - 2)**2*(v - 1)**2
Let y(u) = 2*u + 6. Let d be y(2). Let o(x) = x**2 - 1. Let t(r) = -r**2 - 9*r + 2. Let f(s) = d*o(s) + 5*t(s). Determine p so that f(p) = 0.
0, 9
Let s(h) be the third derivative of h**7/105 - 2*h**6/45 - h**5/240 + h**4/24 - 8*h**3 + 14*h**2. Let b(c) be the first derivative of s(c). Factor b(d).
(d - 2)*(4*d - 1)*(4*d + 1)/2
Let u(l) be the first derivative of l**6/2 + 39*l**5/5 - 75*l**4/4 - 409*l**3 + 1980*l**2 - 2700*l - 371. Suppose u(g) = 0. What is g?
-10, 1, 3
Suppose -3 - 22 = -37*r + 59 - 10. Determine m so that -18/13*m**r + 8/13*m + 12/13*m**3 - 2/13*m**4 + 0 = 0.
0, 1, 4
Let h(v) = -7*v + 15. Let l be h(-3). Suppose 3*f + 2*c + c = l, 2*c - 39 = -3*f. Factor f*q**5 - q**4 - 10*q**5 - 7*q**5 - q**4.
-2*q**4*(q + 1)
Let y = -42 + 42. Determine f, given that 4*f**2 - f**4 + y*f**4 - 2*f**3 + 6630 - 6630 - f**4 = 0.
-2, 0, 1
Let n(w) b