1258*t + 259*t + 5*t**3 - 25*t**2.
5*(t - 18)**2*(t + 31)
Find v, given that -24*v + 2/7*v**2 + 486/7 = 0.
3, 81
Let l(h) be the second derivative of -h**9/20160 + h**7/672 - h**5/40 + 55*h**4/12 - 2*h + 11. Let v(g) be the third derivative of l(g). Solve v(d) = 0.
-2, -1, 1, 2
Let o be 6480/190 - 4/38. Factor 15*u**3 + 3*u**4 - u**4 + 2*u**4 + 48*u**2 - 3*u**4 - 30*u - o*u.
u*(u - 1)*(u + 8)**2
Let l(b) be the first derivative of -b**5/480 - 7*b**4/32 - 147*b**3/16 - b**2 - 11*b + 32. Let r(i) be the second derivative of l(i). Factor r(j).
-(j + 21)**2/8
Let j(h) be the second derivative of 0*h**2 + 1/20*h**5 + 97*h + 0 + 2*h**3 - 7/12*h**4. Factor j(b).
b*(b - 4)*(b - 3)
Let g(b) be the first derivative of -b**6/14 - 33*b**5/35 - 99*b**4/28 - 37*b**3/7 - 3*b**2 - 48. Determine w so that g(w) = 0.
-7, -2, -1, 0
Let o(b) = 224*b - 14. Let g be o(7). Suppose -19*j - g = -21*j. Factor j - 777 - 4*f**4 - 4*f**5.
-4*f**4*(f + 1)
Let o(c) = -12*c**2 - 6819*c - 27. Let f(g) = g**2 + 525*g + 2. Let t(j) = 27*f(j) + 2*o(j). Find i, given that t(i) = 0.
-179, 0
Let s(r) = -r**2 + r - 20. Let n be s(0). Let z = -16 - n. Suppose 0*k**z - 3*k**4 - 14*k**3 - 14*k**3 + 22*k**3 = 0. What is k?
-2, 0
Let l(b) = 0*b**2 - b**2 + 237*b + 3*b**2 - 20 - 2*b**2 - 2*b**2. Let u(z) = -3*z**2 + 237*z - 24. Let x(t) = -6*l(t) + 5*u(t). Factor x(d).
-3*d*(d + 79)
Let o be (-1)/(-30)*-3 + 2/((-200)/(-35)). Factor -5/4*a + o*a**2 + 0.
a*(a - 5)/4
Let y = -54 + 55. Let r be (y + -3)*(-2 - -1). Suppose 25*n**r - 10 + 40*n - 25*n**3 + 10*n**2 - 10 = 0. What is n?
-1, 2/5, 2
Suppose -3*l - 12 = 0, -x - 5*l = -6*x - 20. Let m(v) = 2*v + 18. Let k be m(x). Factor -9*c - 22*c**k + 0*c - 17*c**2 + 36*c**2.
-3*c*(c + 3)
Let i be -2 - ((-36)/17 + 8/(-68)). Let j = 5/81 + 77/1377. Let 2/17*k**3 - j*k + i*k**2 - 4/17 = 0. Calculate k.
-2, -1, 1
Let i(h) be the third derivative of 0 + 1/24*h**5 + h**2 + 1/72*h**6 - 5/6*h**3 + 0*h**4 + 0*h. Let w(l) be the first derivative of i(l). Factor w(v).
5*v*(v + 1)
Let c be 3 - (-4 - (4 - 32)/4). Let k(q) be the second derivative of -5/12*q**4 + 5/6*q**3 + c - 33*q + 5*q**2. Factor k(u).
-5*(u - 2)*(u + 1)
Let p = 11 + -11. Let s(b) = -2*b**2 + b + 2. Let c be s(p). Solve 7 + 9 - 5*n**c + 15*n**2 + 16*n - 6*n**2 = 0.
-2
Suppose 2*t - 3*v = -2939, 0 = -2*t + 6*t + v + 5913. Let f = -13261/9 - t. What is g in -4/9*g + 0 + 20/9*g**2 - f*g**3 + 16/9*g**4 = 0?
0, 1/2, 1
Suppose -13 = -5*g + 57. Let a be (10 + -12)*g/(-4). Factor 5*t**3 + 2*t**3 - 5*t**4 - 2*t**2 + a*t**2 - 5*t - 2*t**3.
-5*t*(t - 1)**2*(t + 1)
Let a(g) be the first derivative of 2*g**3/9 + 863*g**2 + 5176*g/3 - 9501. Factor a(l).
2*(l + 1)*(l + 2588)/3
Factor 225/4 + 17/2*i + 1/4*i**2.
(i + 9)*(i + 25)/4
Let q(v) be the second derivative of -13/16*v**4 + 0 - 3/80*v**5 - 3/2*v**3 + 0*v**2 + 87*v. Let q(k) = 0. Calculate k.
-12, -1, 0
Let k(c) be the first derivative of -16/39*c**3 - 4/65*c**5 + c**2 + 1/39*c**6 + 20/13*c - 7/13*c**4 - 51. Let k(s) = 0. What is s?
-2, -1, 1, 5
Let v be (-5)/(-30) - (-92)/24. Factor 0*z**5 - 6*z**3 + 14*z**2 + 3*z**v - 11*z + 3 - 6*z**4 + z**5 + 2*z**4.
(z - 1)**4*(z + 3)
Suppose 4600/7*i - 176/7*i**4 + 2000/7 - 1678/7*i**3 - 4740/7*i**2 - 6/7*i**5 = 0. What is i?
-10, -1/3, 1
Let x(n) be the second derivative of 19*n**4/12 - 709*n**3/2 - 56*n**2 + n + 6. Factor x(m).
(m - 112)*(19*m + 1)
Factor 0 - 111/7*o**2 + 18/7*o**3 + 3/7*o**4 + 90/7*o.
3*o*(o - 3)*(o - 1)*(o + 10)/7
Let g(p) be the first derivative of -3*p**2 - 145 + 0*p - 1/3*p**3. Factor g(d).
-d*(d + 6)
Let h be -5 - (12/2 + -3 - 3). Let w(c) = c**3 + 3*c**2 - 11*c - 1. Let l be w(h). Solve o**3 - o**2 - 2 + 3*o + 2*o**2 - 2*o**4 - 4*o**3 + 3*o**l = 0.
-1, 1, 2
Factor 46*u**3 - 23*u**3 - 2490*u + 53*u**3 + 2298*u + 584*u**2.
4*u*(u + 8)*(19*u - 6)
Let y be ((-87)/(-116))/(49/(-14) + 6). Let -2/5*a + 1/10*a**2 + y = 0. Calculate a.
1, 3
Let r(p) be the third derivative of p**6/40 - 4*p**5 + 725*p**4/8 - 875*p**3 - 1796*p**2. Factor r(v).
3*(v - 70)*(v - 5)**2
Let u(n) = -20*n**2 - 40*n - 35. Let o(q) = 17*q**2 + 39*q + 34. Suppose z - 2*m + 6*m = -3, 3*m = 3*z - 21. Let s(l) = z*o(l) + 4*u(l). Factor s(f).
5*(f + 1)*(f + 6)
Let t = 23 - 7. Suppose 7*f - 77 = 314 - 125. Solve 16*c**2 - 16 - 4*c**3 + f*c - 18*c - t*c = 0.
-1, 1, 4
Let o(p) = -6*p**2 - 146*p + p**4 - 148*p + 4*p**4 - 1 + 10*p**3 + 292*p. Let u(d) = -4*d**4 - 9*d**3 + 6*d**2 + d + 1. Let a(s) = 5*o(s) + 6*u(s). Factor a(w).
(w - 1)**4
Let c = 3240 + -3238. Let t(y) be the second derivative of 0 - 1/18*y**4 + 5/18*y**3 + y + 1/2*y**c. Factor t(i).
-(i - 3)*(2*i + 1)/3
Suppose 5*g + 30 = 4*l, 5*l + g = -3*g + 58. Factor -59 + 26*r**2 - 16*r - 38 - 4*r**4 + l*r**2 + 49.
-4*(r - 2)**2*(r + 1)*(r + 3)
Factor -2/11*x**2 + 364 + 258/11*x.
-2*(x - 143)*(x + 14)/11
Let j(k) be the first derivative of 0*k + 15/2*k**2 - 5/3*k**3 - 116. Factor j(w).
-5*w*(w - 3)
Let -5008*v + 24990*v**2 - 93650/3*v**3 + 8/3 = 0. What is v?
1/1873, 2/5
Let w(y) be the second derivative of 2 - 6*y + 1/54*y**4 - 2/3*y**2 + 5/27*y**3. Factor w(j).
2*(j - 1)*(j + 6)/9
Let x(j) = 97*j**3 - 46*j**3 + 6*j**2 - 38*j**3 + 2*j + 6. Let b(m) = 2*m**3 + m**2 + m + 1. Let q(g) = 6*b(g) - x(g). Factor q(d).
-d*(d - 2)*(d + 2)
Let j(w) = 19*w**2 + 162*w - 190. Let p(h) = 12*h - 9*h**2 - 52 + 53 - 94*h + 94. Let q(r) = 4*j(r) + 9*p(r). Factor q(i).
-5*(i - 1)*(i + 19)
Let m(t) be the second derivative of -4/195*t**6 - 85/78*t**4 - 10/13*t**2 - 24/65*t**5 - 17/13*t**3 - 2 + 50*t. Determine a so that m(a) = 0.
-10, -1, -1/2
Let f = 1193 + -1289. Let t be -3*8/f*1. Suppose l**2 + 0 - l**4 - 3/4*l**3 - t*l**5 + l = 0. Calculate l.
-2, -1, 0, 1
Suppose 4*p**4 + 252*p - 386*p**2 + 23*p**4 + 5*p**4 + 8*p**3 - 26*p**4 = 0. What is p?
-9, 0, 2/3, 7
Suppose 5*m - 9 = 6. Solve -310*b**2 - 16*b**3 - 8*b**3 - 35 - 4*b**m - 215*b - 12*b**3 = 0 for b.
-7, -1/2, -1/4
Suppose 9*x**4 + 197 + 1032*x**3 - 205*x - 197 - 168*x + 31*x + 681*x**2 = 0. What is x?
-114, -1, 0, 1/3
Factor -104 + 1/2*m**2 - 24*m.
(m - 52)*(m + 4)/2
Let g(u) be the third derivative of -u**5/420 + 55*u**4/14 - 659*u**3/42 + u**2 - 1. What is v in g(v) = 0?
1, 659
Let q = -2/148205 + -52790603/1333845. Let n = q + 199/5. Determine g, given that -2/9*g - n*g**2 + 0 = 0.
-1, 0
Let g(f) be the first derivative of -f**6/15 - 104*f**5/25 - 507*f**4/5 - 17576*f**3/15 - 28561*f**2/5 + 310. Solve g(q) = 0 for q.
-13, 0
Find t, given that -11*t**2 + 3*t**2 - 38*t + 46*t**4 + 38*t + 24*t**3 - 68*t**4 + 6*t**5 = 0.
0, 2/3, 1, 2
Let a(h) be the first derivative of -h**5/5 + 2*h**4/3 + 14*h**3/3 + 8*h**2 - 72*h - 35. Let x(l) be the first derivative of a(l). Factor x(s).
-4*(s - 4)*(s + 1)**2
Suppose 16 - 37 = -7*v. Factor -8*k**v - 4*k**4 + 2366*k**5 + 0*k**4 - 2362*k**5.
4*k**3*(k - 2)*(k + 1)
Suppose -5*t - 44*t + 343 = 0. Let p(y) be the third derivative of -1/20*y**5 + 0*y - 1/8*y**4 + 1/70*y**t + 0 + 0*y**3 + 1/40*y**6 - 34*y**2. Factor p(k).
3*k*(k - 1)*(k + 1)**2
Let y(p) = 94 + 33 - 25 + 31*p + 25. Let h be y(-4). Determine o so that 23/10*o**2 + 0 - 1/5*o - 11/10*o**h = 0.
0, 1/11, 2
Factor -31/4*u**2 - 225/4 - 1/4*u**3 - 159/4*u.
-(u + 3)**2*(u + 25)/4
Let d be 24/9*24/16. Find r such that 12*r**4 - 6*r + 0*r**2 - 2*r**4 - 10*r**d - 3*r**4 + 9*r**2 = 0.
-2, 0, 1
Let o(j) be the second derivative of -2*j**6/75 + 17*j**5/25 - 6*j**4 + 72*j**3/5 + 432*j**2/5 - 351*j. Factor o(q).
-4*(q - 6)**3*(q + 1)/5
Let p be 1 - 2/8 - 9/(-36). Let i be 3 + -8 - p*57/(-6). Factor 15/2*g + 33/2*g**3 + 1 + i*g**4 + 37/2*g**2.
(g + 1)*(g + 2)*(3*g + 1)**2/2
Let c(v) = -44*v + 51. Let m(x) = 128*x - 152. Let h(g) = 14*c(g) + 5*m(g). Let y be h(2). Factor 10/7*i**3 - y*i**2 + 4/7*i + 0.
2*i*(i - 1)*(5*i - 2)/7
Let 0 - 1/9*g**2 - 247/9*g = 0. What is g?
-247, 0
Let y = -6951 - -6953. Let c(t) be the second derivative of 0 - 4/5*t**6 + 2/21*t**7 - 4*t**2 - 16/3*t**4 + y*t + 6*t**3 + 14/5*t**5. Solve c(v) = 0.
1, 2
Let -89/2*k + 129/2 + 1/2*k**3 - 41/2*k**2 = 0. What is k?
-3, 1, 43
Let -760*k**3 + 183*k**2 + 56*k**2 + 1024*k + k**2 + 378*k**3 + 378*k**3 = 0. What is k?
-4, 0, 64
Let b be ((-3768)/(-288) - 13)/(6/(-16)*-1). Suppose b*u**2 + 10/9 - 4/3*u = 0. What is u?
1, 5
Let m = 83 + -79. Factor 42*x**2 - 9*x**4 + 9*x**2 + 14*x + m*x + 3*x**