2*(x + 1)*(x + 207)/7
Let c(j) be the third derivative of 0*j**3 + 13/30*j**5 + 4/105*j**7 - 12*j**2 + 0*j - 53/60*j**6 + 0*j**4 + 0. Factor c(b).
2*b**2*(b - 13)*(4*b - 1)
Determine q, given that -145/2 - 2005/4*q**2 + 835/4*q**3 + 15/4*q**4 + 1445/4*q = 0.
-58, 1/3, 1
Factor 103794*f - 115624*f - 57*f**2 + 31*f**2 + 6997445 + 31*f**2.
5*(f - 1183)**2
Let q be -14 + 1577/114 - -4*(-21)/(-216). Suppose 16/9*k**4 - q*k**5 + 128/9*k + 0 - 64/9*k**2 - 8/3*k**3 = 0. Calculate k.
-2, 0, 2, 4
Suppose 257821 = -1561*j + 2131021. Factor -j + 1040*w - 676/3*w**2.
-4*(13*w - 30)**2/3
Let c(z) be the first derivative of -3*z**4/4 + 42*z**3 + 918*z**2 + 5832*z - 1936. What is n in c(n) = 0?
-6, 54
Let j(m) be the third derivative of -m**7/1575 - 59*m**6/45 - 173459*m**5/225 + 11623*m**4/3 - 38809*m**3/5 + 4*m**2 - m + 251. Factor j(d).
-2*(d - 1)**2*(d + 591)**2/15
Let h(y) be the first derivative of 3*y**2 + 25 - 8*y - 1/3*y**3. Solve h(l) = 0 for l.
2, 4
Factor -46*j**4 - 46*j**4 + 224*j + 225*j**2 + 94*j**4 + 144*j**3 + 320*j + 327*j**2.
2*j*(j + 2)**2*(j + 68)
Suppose 0 = 146*s - 152*s + 36. Let u(a) be the first derivative of -6/5*a - 8/15*a**3 - 7/5*a**2 + s. Solve u(q) = 0 for q.
-1, -3/4
Let r = 27366 - 27353. Let q(p) be the first derivative of -1/9*p**3 + 1/36*p**4 - 1/9*p + 1/6*p**2 - r. Factor q(c).
(c - 1)**3/9
Let t(n) be the first derivative of n**4/5 + 44*n**3/5 + 889. Find r such that t(r) = 0.
-33, 0
Suppose -53*y + 44*y - 48 = -25*y. Factor -35/3*b**2 - 15*b**y + 10/3*b + 0.
-5*b*(b + 1)*(9*b - 2)/3
Let h(i) be the first derivative of -i**5 + 13*i**4 - 35*i**3 + 37*i**2 - 16*i + 2929. Factor h(w).
-(w - 8)*(w - 1)**2*(5*w - 2)
Factor -81/7*l**2 + 3/7*l**4 - 162/7 + 3/7*l**3 - 243/7*l.
3*(l - 6)*(l + 1)*(l + 3)**2/7
Let g be (-223782)/159705 + (1 - -2). Let c = g - -1/819. Factor -2/5*v**2 + c - 8/5*v + 2/5*v**3.
2*(v - 2)*(v - 1)*(v + 2)/5
Let t be 19 - (3864/(-980) + 1*2/(-35)). Find u such that 7/2 - 1/2*u**5 + 11/2*u**4 + t*u**2 - 29/2*u - 17*u**3 = 0.
1, 7
Suppose -4*v = 4*u - 12, -2*v + 29*u = 28*u - 6. Factor 6*a + 0*a**2 - 5*a - 13*a + 8*a**2 + a**3 + v*a**3.
4*a*(a - 1)*(a + 3)
Let t(a) = 2*a**2 - 162*a + 622. Let i(b) = b**2 - 3*b - 3. Let z(m) = -6*i(m) + t(m). Factor z(c).
-4*(c - 4)*(c + 40)
Let c = -3/130 - 2269/260. Let u = -29/4 - c. Suppose 0 - 5/2*p**3 - u*p**4 - p**2 + 0*p = 0. Calculate p.
-1, -2/3, 0
Let n be (-27)/(-4) + (-9)/12. Let z be ((-78)/(-18) - 2)/(1/n). Factor -2*u**5 - 13*u**2 - z*u**3 - 4*u**4 - 6*u**4 + 7*u**2.
-2*u**2*(u + 1)**2*(u + 3)
Suppose -120*r + 20*r**4 + 490*r**2 - 215*r**3 + 0*r**5 + 14*r**5 + 6*r**5 - 300*r**3 = 0. Calculate r.
-6, 0, 1/2, 4
Suppose 0 = 25*m - 34 - 91. Suppose 2*r = m*q, -r = 8*q - 4*q. Let -1/2*b**4 - 1/2*b**2 + b**3 + 0 + q*b = 0. Calculate b.
0, 1
Let t(l) be the third derivative of -11/48*l**4 + 9 - 121/24*l**3 + 0*l - 4*l**2 - 1/240*l**5. Let t(b) = 0. What is b?
-11
Let d(t) = 2*t**4 - t**2 + 3*t. Let m(v) = -8*v**4 - 4*v**3 - 3*v**2 - 11*v + 6. Let z(s) = -5*d(s) - m(s). Solve z(x) = 0 for x.
-1, 1, 3
Let u(p) = 8*p**2 + 35*p + 36. Let n(x) = -7*x**2 - 34*x - 33. Suppose 48*s = -87 + 231. Let l(j) = s*n(j) + 2*u(j). Suppose l(c) = 0. What is c?
-27/5, -1
Let g(c) = c**3 + 35*c**2 + 2677*c + 93893. Let f be g(-35). Factor 1/2*r**3 - 19*r**2 - 324 + f*r.
(r - 18)**2*(r - 2)/2
Let c = 976510 - 976506. Factor -4/5*q - 6/5*q**3 + 0 + 2*q**2 + 2/5*q**5 - 2/5*q**c.
2*q*(q - 1)**3*(q + 2)/5
Let f(g) = -8*g**3 + 218*g**2 + 189*g - 1152. Let t(p) = p**3 - 27*p**2 - 24*p + 144. Let r(d) = 6*f(d) + 51*t(d). Factor r(w).
3*(w - 24)*(w - 2)*(w + 3)
Let i be (5*(-543)/(-6))/(9/36). Suppose i - 1790 = 10*q. Solve 4/3*l + 2/3*l**q - 16/3 = 0 for l.
-4, 2
Let d(h) be the third derivative of -h**5/10 - 14*h**4/3 - 1076*h**2. Determine p so that d(p) = 0.
-56/3, 0
Let z(q) = -317*q**3 + 52*q**2 - 271*q - 263. Let l(s) = -11*s**3 + 2*s**2 - s - 1. Let r(f) = -58*l(f) + 2*z(f). Find c, given that r(c) = 0.
-9, -1, 13
Let i(f) = -53*f - 687. Let y be i(-13). Let d(g) be the third derivative of 1/210*g**5 + 0*g**3 + 0 - 6*g**y - 1/84*g**4 + 0*g. Suppose d(u) = 0. Calculate u.
0, 1
Suppose 1 = -5*n + 5*i - 4, 0 = 5*i + 15. Let g be -2 - n/(-10)*(-16 - -1). Factor d**4 + 3*d + 45*d**2 + g*d**4 - 23*d - 30*d**3.
5*d*(d - 4)*(d - 1)**2
Suppose 7*h - 140 = -105. Factor -6*m**3 + m**3 - 5*m**3 + 6*m**3 + 0*m**5 + 4*m**h.
4*m**3*(m - 1)*(m + 1)
Let r be -6 - -3 - (-2)/(4/62). Suppose 3*d = 4*j + r, -2*j + 16 = 5*d - j. Determine c so that 4*c**5 - 198*c + 7*c**3 + 194*c + 4*c**2 - 7*c**5 - 4*c**d = 0.
-2, -1, 0, 2/3, 1
Let c(b) be the first derivative of 1/12*b**6 + 10/3*b**3 + 41 - 3/4*b**4 - 19/4*b**2 - 1/5*b**5 + 3*b. What is x in c(x) = 0?
-3, 1, 2
Let z(x) be the third derivative of x**7/280 - x**6/20 - 11*x**5/80 + 9*x**4/16 + x**2 + 7. Determine o, given that z(o) = 0.
-2, 0, 1, 9
Suppose 4*m + 0*m = 28. Suppose -2*d - 48 = -5*v, v + 20*d = 23*d + 7. Determine z so that v*z**2 + 4 - m*z**2 - 12*z + 5 = 0.
1, 3
Let u(c) be the first derivative of -2/5*c**2 - 2/5*c - 2/15*c**3 - 137. Determine k so that u(k) = 0.
-1
Let q = -15 + 18. Let k(i) = q*i + 3*i - i**4 + 2*i + i**3 - 7*i. Let x(h) = -16*h**4 + 67*h**3 - 118*h**2 + 67*h - 9. Let s(w) = 28*k(w) - 4*x(w). Factor s(b).
4*(b - 3)**2*(3*b - 1)**2
Let b(l) be the third derivative of -l**7/42 + 7*l**6/6 + l**5/12 - 35*l**4/6 - 1122*l**2. Suppose b(j) = 0. Calculate j.
-1, 0, 1, 28
Let f = 62/637 - -484/637. Solve -3/7*g**2 + 9/7 + f*g = 0 for g.
-1, 3
Let l = 555/2 - 1601/6. Let t(i) be the first derivative of 19 - 17/6*i**4 - 154/15*i**5 + 146/9*i**3 - l*i**2 + 8/3*i + 49/9*i**6. Solve t(z) = 0.
-1, 2/7, 1
Suppose 3*m + 81 = -6*l, 2*m = 5*l - 408 + 489. Suppose 0 = -3*z + 7*z. Solve -2/5*o**2 + z*o + 0 + 4/15*o**m + 2/15*o**4 = 0.
-3, 0, 1
Let z(x) be the first derivative of -2*x**3/15 - 14*x**2/5 - 96*x/5 - 1082. Factor z(l).
-2*(l + 6)*(l + 8)/5
Solve -2*q**3 + 3 + 18*q**3 - 16*q - 4 + 4*q**4 + 8*q**2 - 11 + 0*q**3 = 0.
-3, -1, 1
Find p such that 0*p**3 - 24*p**4 - 26*p**4 + 60*p**4 - 25*p - 104*p**5 - 40*p**2 + 99*p**5 + 30 + 30*p**3 = 0.
-2, -1, 1, 3
Let g = -197 + 199. Let x(b) = -13*b**2 + 3*b - 12. Let l(v) = 2*v**2 + 2. Let z(u) = g*x(u) + 14*l(u). Factor z(i).
2*(i + 1)*(i + 2)
Let c(z) be the first derivative of -2*z**3 - 1/1440*z**6 + 0*z - 1/96*z**4 - 1/240*z**5 + 18 + 0*z**2. Let x(w) be the third derivative of c(w). Factor x(p).
-(p + 1)**2/4
Let q(z) be the second derivative of -5*z**7/42 + z**6/3 + 5*z**5 - 55*z**4/6 - 95*z**3/6 + 50*z**2 + 1754*z - 1. Suppose q(u) = 0. What is u?
-4, -1, 1, 5
Let l(b) = 11764*b**3 - 47644*b**2 - 52084*b - 12772. Let x(o) = -1810*o**3 + 7330*o**2 + 8013*o + 1965. Let i(m) = 5*l(m) + 32*x(m). Factor i(k).
4*(k - 5)*(15*k + 7)**2
Let f(i) be the third derivative of 2*i**7/735 + 59*i**6/105 - 124*i**5/105 - 299*i**4/21 - 34*i**3 + 3723*i**2. Suppose f(s) = 0. What is s?
-119, -1, 3
Determine u so that 5*u**3 + 20*u**3 + 1624*u + 10*u**2 - 10 - 828*u - 821*u = 0.
-1, -2/5, 1
What is h in -420*h**2 + 7879 + 3*h**3 + 222*h**2 - 8071 + 387*h = 0?
1, 64
Let j(k) = -570*k + 24513. Let w be j(43). Find n such that 4/3*n**2 - 4/3 + 2/3*n**w - 2/3*n = 0.
-2, -1, 1
Let b(h) = -81*h**2 - 732*h + 5. Let q be b(-9). Let w(j) be the first derivative of -4*j**2 + q*j + 1/6*j**3 + 19. Factor w(n).
(n - 8)**2/2
Let s(n) be the second derivative of -1/120*n**5 - 4*n**2 - 1/72*n**4 + 0*n**3 - 1/720*n**6 + 0 + 7*n. Let u(a) be the first derivative of s(a). Factor u(f).
-f*(f + 1)*(f + 2)/6
Let j(y) = -95*y**2 + 55 + 39*y - y**3 - 36 + 94*y**2. Let h be j(5). Factor 74/7*a + h*a**2 + 4/7 + 126*a**3.
2*(7*a + 1)**2*(9*a + 2)/7
Let z(l) = -l**2 + 720*l - 721. Let f(w) = 15*w**2 - 11517*w + 11535. Let s(a) = -2*f(a) - 33*z(a). Factor s(k).
3*(k - 241)*(k - 1)
Determine z, given that -22528/5*z**2 - 1792/5*z**3 + 0 + 0*z + 8*z**4 + 4/5*z**5 = 0.
-16, 0, 22
Suppose 15*f - 104 = -5*f - 6*f. Let o(w) be the third derivative of 1/80*w**6 + 0*w + 0 - 19*w**2 + 1/20*w**5 + w**3 - 7/16*w**f. Find m, given that o(m) = 0.
-4, 1
Let j(u) = -27*u**2 - 10230*u + 1365525. Let d(y) = 4*y**2 + 1460*y - 195075. Let q(n) = 48*d(n) + 7*j(n). Suppose q(l) = 0. What is l?
255
Let o be (-3)/(-9) - 1/3. Let s = 1 + o. Suppose 9*h - 5*h*