r?
-1, 15
Let k = 1213868 + -1213866. Let 7/2*f**k - 6*f + 0 - 1/2*f**3 = 0. Calculate f.
0, 3, 4
Let y(b) be the second derivative of 2*b**6/15 + 8*b**5/5 + 6*b**4 - 54*b**2 + 16*b + 12. Factor y(d).
4*(d - 1)*(d + 3)**3
Factor 278258 - 2*t**2 - 7*t**2 + 14*t**2 - 3*t**2 - 1492*t.
2*(t - 373)**2
Find o such that -5602*o**5 - 591*o**3 - 1805*o + 1530*o**4 - 4362*o**2 + 6569*o + 5629*o**5 - 1368 = 0.
-57, -2, 2/3, 1
Let g = -2811 + 2815. Let r(q) be the third derivative of 0*q**g + 0*q + 1/150*q**6 + 0 + 0*q**3 - 19*q**2 - 2/525*q**7 + 0*q**5. Factor r(o).
-4*o**3*(o - 1)/5
Let j(u) be the third derivative of u**5/210 + 30*u**4/7 + 716*u**3/21 - 31*u**2 - 4*u - 6. Determine q, given that j(q) = 0.
-358, -2
Let d be (-4)/(-34) + (-15741)/(-153). Factor 12*i**2 + 4*i**3 - d + 103.
4*i**2*(i + 3)
Let w(n) be the first derivative of 3/5*n**4 + 3/25*n**5 - 67 + 0*n + n**3 + 3/5*n**2. Determine d so that w(d) = 0.
-2, -1, 0
Suppose -340*o + 4 = -344*o. Let m(u) = -6*u**4 - 14*u**3 - 10*u**2. Let g(i) = i**4 - 2*i**2 - 2*i + 1. Let d(q) = o*m(q) - g(q). Factor d(a).
(a + 1)**3*(5*a - 1)
Suppose -5 = -i, -q + 2 = 2*q - 2*i. Suppose 5*k - 3*x + q*x = 26, x - 6 = -k. Solve -2*v**4 + 2*v**2 - 2*v + 3*v**4 - 10*v**2 + k*v**2 = 0.
-1, 0, 2
Let t(g) = -5*g**2 + 385*g + 37639. Let q(v) = 7*v**2 - 384*v - 37640. Let x(w) = 3*q(w) + 4*t(w). Let x(j) = 0. Calculate j.
-194
Find p such that 2/7*p**4 + 2888 - 5814/7*p - 58/7*p**2 + 54/7*p**3 = 0.
-19, 4, 7
Suppose c + 1 - 5 = 0. Factor 5*o**5 + 12*o**2 + 8*o**2 - 27*o**3 - 20*o**c + 43*o**3 - 21*o**3.
5*o**2*(o - 4)*(o - 1)*(o + 1)
Let c(o) be the third derivative of 2*o**7/105 + 37*o**6/30 + 116*o**5/5 - 18*o**4 - 2592*o**3 + 2735*o**2. Factor c(l).
4*(l - 3)*(l + 4)*(l + 18)**2
Let t(n) be the second derivative of -n**6/105 - 47*n**5/35 - 365*n**4/42 - 452*n**3/21 - 180*n**2/7 + 142*n - 4. Suppose t(f) = 0. Calculate f.
-90, -2, -1
Let h(n) be the third derivative of -n**6/96 - 17*n**5/24 - 615*n**4/32 - 270*n**3 + 2*n**2 - 203*n. Factor h(g).
-5*(g + 9)**2*(g + 16)/4
Suppose 38088 - 276*p + 1/2*p**2 = 0. Calculate p.
276
Let c(a) = a**2 - a. Let h(t) = 8*t**2 - 65*t + 841. Suppose 37 = -2*w + 5*y, 0 = 5*w - 3*y + 149 - 47. Let m(k) = w*c(k) + 3*h(k). Let m(v) = 0. Calculate v.
29
What is q in 79/3*q**3 - 11/3*q**4 + 4*q + 0 - 80/3*q**2 = 0?
0, 2/11, 1, 6
Factor -68*t + 168*t**2 + 32 + 4*t**2 + 39*t - 17*t - 158*t.
4*(t - 1)*(43*t - 8)
Factor -2/13*w**3 - 810/13 - 46/13*w**2 - 342/13*w.
-2*(w + 5)*(w + 9)**2/13
Let x(d) be the second derivative of -d**6/15 - 33*d**5/5 - 245*d**4/6 + 68*d**3 + 1116*d**2 + 528*d. Let x(g) = 0. Calculate g.
-62, -3, 2
Let u be ((-296)/(-12))/((-2)/(-12)). Determine a so that -11*a + u*a**2 + 502*a**3 - 69*a - 282*a**3 - 16 - 272*a**3 = 0.
-2/13, 1, 2
Let h(q) = -q**3 - 47*q**2 - 351*q - 70. Let z be h(-9). Let l(s) be the first derivative of 1/6*s**3 + 9/2*s**2 + 81/2*s + z. Factor l(c).
(c + 9)**2/2
Let s(j) be the first derivative of 21*j**5/40 - 93*j**4/32 - 31*j**3/4 - 9*j**2/2 - 12. Let s(g) = 0. Calculate g.
-1, -4/7, 0, 6
Let o(j) = 658*j - 2628. Let x be o(4). Find n such that -15/4*n**2 - 9/4*n - 7/4*n**3 + 0 - 1/4*n**x = 0.
-3, -1, 0
Let m(t) be the first derivative of t**3/36 + 105*t**2/2 + 33075*t - 6666. Factor m(j).
(j + 630)**2/12
Suppose -8*u - 9*u = 2958. Let b = u + 177. Find n, given that -1/3*n**b + n + 0*n**2 + 2/3 = 0.
-1, 2
Let w(t) be the first derivative of 0*t - 65 - 1/36*t**6 + 0*t**2 - 1/24*t**4 + 0*t**3 - 1/15*t**5. Determine u so that w(u) = 0.
-1, 0
Let v = -1163 + 450. Let g = -4983/7 - v. Factor -2/7*r**4 + 0*r**2 + 6/7*r**3 + 0 - g*r.
-2*r*(r - 2)**2*(r + 1)/7
Factor -94*t + t**5 - 336 - 548*t - 831*t**3 - 1505*t**2 - 163*t**4 + 188*t - 720*t + 0*t**5.
(t - 168)*(t + 1)**3*(t + 2)
Let t(q) be the third derivative of q**7/315 + 3*q**6/10 + 81*q**5/10 - q**2 + 2432*q. Factor t(g).
2*g**2*(g + 27)**2/3
Let t(n) be the third derivative of n**7/280 + n**6/4 - 127*n**5/80 + 43*n**4/16 - 1076*n**2. Determine l so that t(l) = 0.
-43, 0, 1, 2
Let y(m) be the second derivative of -m**5/20 + m**3/6 - 39*m. Let c(w) = -8*w**3 - 8*w**2 - 4*w - 4. Let b(k) = -c(k) + 6*y(k). Factor b(z).
2*(z + 1)**2*(z + 2)
Let o(v) be the second derivative of 79*v**6/135 + 713*v**5/90 + 239*v**4/6 + 81*v**3 + 6*v**2 + 4*v + 385. Factor o(l).
2*(l + 3)**3*(79*l + 2)/9
Let t be ((-400)/(-24))/((-1)/(6/(-4))). Factor 5 + 220*a + 27*a**2 - 313*a + t + 234*a.
3*(a + 5)*(9*a + 2)
Find q such that 2/9*q**3 + 10/9*q**2 + 2/3*q - 2 = 0.
-3, 1
Let i(p) be the first derivative of p**5/5 - 17*p**4/4 - 19*p**3/3 + 17*p**2/2 + 18*p - 1708. Factor i(h).
(h - 18)*(h - 1)*(h + 1)**2
Let q = 1130/3 - 2251/6. Let t(a) be the second derivative of -q*a**3 + 0 + 5/6*a**4 + a**2 - 3/20*a**5 - 22*a. Factor t(o).
-(o - 2)*(o - 1)*(3*o - 1)
Let v(i) be the first derivative of i**6/90 - 7*i**5/120 + i**4/24 + 2*i**3/9 - i**2/3 + 70*i + 73. Let w(h) be the first derivative of v(h). Factor w(j).
(j - 2)**2*(j + 1)*(2*j - 1)/6
Suppose 40*s - 725*s = -557 - 813. Let 10/11*n**s + 0 - 2/11*n**5 + 2/11*n**3 + 0*n - 10/11*n**4 = 0. What is n?
-5, -1, 0, 1
Suppose h = 4*i - 2*h - 528, -3*i = h - 409. Factor -o**2 + o**3 + 137*o + i*o + 1 - 273*o.
(o - 1)**2*(o + 1)
Let a(u) be the first derivative of -2*u**3/27 - 2666*u**2/9 - 3553778*u/9 - 1109. Factor a(o).
-2*(o + 1333)**2/9
Let z be (-150)/(-1800) + (-2)/36. Let o(n) be the second derivative of 1/6*n**3 + z*n**4 + 0*n**2 + 10 - n. Factor o(m).
m*(m + 3)/3
Suppose 37*i = 41*i - 12. Suppose -2*q + 43 = v + 3*q, -3*q = -i*v + 57. What is g in 2*g**2 - 2*g**3 + 16*g**5 - 2*g**4 + 9*g**5 - v*g**5 = 0?
-1, 0, 1
Let k(b) be the first derivative of 961*b + 31*b**2 + 1/3*b**3 - 157. Factor k(w).
(w + 31)**2
Let j be 145/4205*435/3. Factor -6/7*v**4 - 3/7*v**j - 12/7*v + 9/7*v**3 + 12/7*v**2 + 0.
-3*v*(v - 1)**2*(v + 2)**2/7
Suppose -11 = -p + 3*v, -4*p + 6*p - 10 = 2*v. Factor -17576*r**3 - 537*r - 13 - 236*r - 14 + 71*r - 6084*r**p.
-(26*r + 3)**3
Let o = -790/23 + 1925/46. Factor -5/4*j**5 - 5*j**4 - 5/4*j - o*j**3 + 0 - 5*j**2.
-5*j*(j + 1)**4/4
Let b = -1403999/120 - -11700. Let g(o) be the third derivative of 1/60*o**5 - b*o**6 + 1/24*o**4 + 11*o**2 + 0*o + 0*o**3 - 1/210*o**7 + 0. Factor g(m).
-m*(m - 1)*(m + 1)**2
Let u = -364 - -369. Factor 67*c + 9*c + 17*c**2 - u*c**2 + 109 + 83 + 220*c.
4*(c + 24)*(3*c + 2)
Let o(s) be the third derivative of s**7/490 - 11*s**6/140 + 89*s**5/140 + 2*s**4 - 190*s**2 - 6*s. Factor o(h).
3*h*(h - 16)*(h - 7)*(h + 1)/7
Let c = 44 + -42. Find g such that -20*g + 608*g**4 + 6*g - 606*g**4 - c*g**2 + 14*g**3 = 0.
-7, -1, 0, 1
Let s(a) be the third derivative of 0 + 0*a + 1/15*a**5 - a**4 + 121*a**2 - 14/3*a**3. Solve s(q) = 0.
-1, 7
Suppose 0 = 3*k + 5*y - 122, -6*k + 2*k + 128 = -2*y. Let a = k - 26. What is p in a - 3 - p**2 + 3*p - 7 + 0 = 0?
1, 2
Let o(w) be the third derivative of -w**6/1440 - w**5/60 + w**4/2 - 14*w**3/3 + 286*w**2. Let t(c) be the first derivative of o(c). Factor t(n).
-(n - 4)*(n + 12)/4
Let d(i) be the second derivative of -i**4/42 - 40*i**3/21 - 279*i**2/7 + 1069*i. Factor d(p).
-2*(p + 9)*(p + 31)/7
Let n(b) = 0*b - 65*b**2 + 30 + 66*b**2 + b**3 - 3*b. Let v be n(0). Factor -5*k**2 - v*k - 9 - 2 + 2 - 16.
-5*(k + 1)*(k + 5)
Let i(p) be the second derivative of p**6/72 - p**5/24 - 5*p**4/4 - 34*p**3/3 + p**2 - 68*p. Let h(s) be the second derivative of i(s). Let h(n) = 0. What is n?
-2, 3
Solve -648/7 + 332/7*g - 4/7*g**2 = 0.
2, 81
Let p(m) be the second derivative of 5*m**7/21 + 3*m**6/2 + m**5/2 - 15*m**4/4 - 10*m**3/3 + 13*m - 26. Suppose p(t) = 0. Calculate t.
-4, -1, -1/2, 0, 1
Let f be (-2 + (-1 - 35/(-15)))*-9 - 3. Let p(n) be the first derivative of 2/3*n**f - 16*n**2 + 5 + 128*n. What is o in p(o) = 0?
8
Let q(s) be the first derivative of s**6/1620 + s**5/108 - s**4/18 - 67*s**3/3 - 13. Let m(t) be the third derivative of q(t). Determine w so that m(w) = 0.
-6, 1
Let r = -586 - -504. Let p be r/(-20) - (10 - (-676)/(-65)). Factor -3*q + 0 - p*q**2 - 3/2*q**3.
-3*q*(q + 1)*(q + 2)/2
Factor 1452/17*i + 2/17*i**2 - 2912/17.
2*(i - 2)*(i + 728)/17
Suppose 14*l - 13*l = 164. Suppose -8*q = -4*q - l. Suppose -q*j**2 - 19*j**3 - 3*j**4 + 27 + 18*j + 17*j**2 + j**3 = 0. Calculate j.
-3, -1, 1
Fac