+ 45*k - 5/3*k**3 + 5/12*k**4. Solve r(v) = 0.
-3, 3
Solve 312/11*i + 12168/11 + 2/11*i**2 = 0 for i.
-78
Let s(k) be the first derivative of 3*k**4/26 - 7780*k**3/39 + 1262304*k**2/13 - 1679616*k/13 - 291. Factor s(g).
2*(g - 648)**2*(3*g - 2)/13
Find n, given that 51 - 14 - 11 - 26 - 26*n**4 - 14*n**2 + 40*n**3 = 0.
0, 7/13, 1
Let u = 24 + -18. Suppose -5*f - u*f = -44. Factor -8*j + 20*j**2 + 45*j**f - 24*j**5 + 47*j**4 - 4*j**5 - 108*j**3 + 32*j**2.
-4*j*(j - 1)**3*(7*j - 2)
Let l(h) = h**2 + 14*h + 9. Let w be l(-14). Suppose 1 = 2*f + 5*q, q + 1 = -3*f + w. Solve -4*p**3 + 22*p**2 - 30*p**2 + 7*p**5 - f*p**5 + 8*p**4 = 0 for p.
-2, -1, 0, 1
Let u(z) = -z**3 + 1148*z**2 - 2281*z + 1149. Let n(a) = -3*a**3 + 2296*a**2 - 4563*a + 2295. Let m(x) = -3*n(x) + 5*u(x). Factor m(s).
4*(s - 285)*(s - 1)**2
Let g be -7*1*(1 - 1 - 4/14). Let u(y) be the third derivative of -1/480*y**6 + 0*y**3 + 1/96*y**4 + 2*y**g + 0 + 0*y + 0*y**5. What is i in u(i) = 0?
-1, 0, 1
Suppose i + 2 = -11*s + 13*s, 2*s = 2*i. Let -96/11*p**3 - 2/11*p**4 - 41472/11 - 1728/11*p**s - 13824/11*p = 0. Calculate p.
-12
Determine k so that 720/11*k - 190/11*k**3 - 1800/11 + 34/11*k**4 - 2/11*k**5 + 278/11*k**2 = 0.
-2, 3, 5, 6
Let o(t) = -6*t**2 - 321*t + 192. Let f(b) = -6*b**2 - 315*b + 195. Let q(r) = -5*f(r) + 6*o(r). Find x such that q(x) = 0.
-59, 1/2
Let o(m) be the first derivative of 5*m + 5/3*m**3 + 66 + 5*m**2. Factor o(t).
5*(t + 1)**2
Let u(v) be the first derivative of -v**5/10 + 5*v**4/8 + 4*v**3 + 454. Factor u(p).
-p**2*(p - 8)*(p + 3)/2
Factor 2/11*p**2 + 32*p + 0.
2*p*(p + 176)/11
Suppose 23 = 4*z + 3. Factor -13 - 13*k - 19 - 138*k**4 + 4*k**z - 3*k + 4*k**3 + 122*k**4 + 40*k**2.
4*(k - 2)**3*(k + 1)**2
Let n(t) = t**2 + 17*t - 14. Let m be n(-18). Factor -9989*v + 905*v - 7116*v - 144*v**3 - 2430*v**2 - 3*v**m - 30375.
-3*(v + 3)*(v + 15)**3
Suppose 0 = 6*w - 8*w + 232. Suppose -l + 2*x + w = -x, l = -2*x + 116. Suppose l*r**5 - 8*r**5 + 39*r**3 + r**2 - 144*r**4 - 4*r**2 = 0. Calculate r.
0, 1/6, 1
Let k be (7 + -19)/(0 - 2). Factor 0*u**3 + 7*u**2 - k - 9*u**2 - 3*u**3 + u**3 + 10*u.
-2*(u - 1)**2*(u + 3)
Let n be (-595)/175*-228*(0 - (-4)/6). Factor -76/5*f**3 - 858/5*f**2 - 2/5*f**4 - n*f - 2312/5.
-2*(f + 2)**2*(f + 17)**2/5
Suppose 5*a + 2471 = i - 399, a + 555 = 4*i. Let m = -571 - a. Determine n, given that 0*n - 2/3*n**3 + 2/3*n**m + 0*n**2 + 0 = 0.
0, 1
Let o(c) be the third derivative of -11/12*c**4 + 0*c + 7/480*c**6 + 59*c**2 + 0 - 61/240*c**5 - 5/6*c**3. Find t such that o(t) = 0.
-1, -2/7, 10
Suppose 0*u = -2*u. Let y be (1/5)/(1407/5628). Let 0 + y*z**4 + u*z**3 + 0*z**2 + 0*z - 14/5*z**5 = 0. What is z?
0, 2/7
Let w(n) be the first derivative of 7*n**6/300 + n**5/50 - 7*n**4/60 - n**3/5 + n**2/2 + 29*n - 14. Let z(g) be the second derivative of w(g). Solve z(l) = 0.
-1, -3/7, 1
Suppose -3*t = -4*k - 1, -5*t - 3*k + 12 = -3*t. Suppose 37*j - 36*j = t. Let -3/7 - 3/7*i**j + 3/7*i + 3/7*i**2 = 0. Calculate i.
-1, 1
Let v = -23292 + 23295. Let n(r) be the first derivative of -2/5*r**2 + 4/5*r + 1/15*r**v - 2. Factor n(x).
(x - 2)**2/5
Let z(t) be the first derivative of 0*t + 25/2*t**2 - 8 - 2*t**3 + 2/3*t**4 - 1/15*t**5. Let q(h) be the second derivative of z(h). Factor q(d).
-4*(d - 3)*(d - 1)
Determine s, given that 62 + 200*s**2 - 58*s**3 + 86*s - 38*s**3 - 98 + 26*s**2 + 120*s**3 = 0.
-9, -2/3, 1/4
Determine g so that -219/2*g**2 + 107/8*g**4 + 3/8*g**5 + 0 + 18*g**3 + 34*g = 0.
-34, -4, 0, 1/3, 2
Let j = -4984 - -4990. Let c(n) be the first derivative of -n**4 - 13 - 2/5*n**5 + n**2 - 2*n + 4/3*n**3 + 1/3*n**j. Find z such that c(z) = 0.
-1, 1
Let k(j) = 2*j + 52. Let p be k(-22). Let s be (3/9)/(484/60 - p). Find c, given that 0*c + 2/3*c**s + 0 + 4/3*c**2 + 8/3*c**4 + 10/3*c**3 = 0.
-2, -1, 0
Suppose 5*l = -2*j + 1690, 5*j - 3645 = 3*l + 518. Let q = j + -833. Factor 5/3*w**q - 1/3*w**3 + 1/3*w - 5/3.
-(w - 5)*(w - 1)*(w + 1)/3
Let x(i) = 2*i**3 - 25*i**2 + 61*i + 94. Let l(p) = 4*p**3 - 51*p**2 + 121*p + 186. Let r(h) = 6*l(h) - 10*x(h). Factor r(v).
4*(v - 11)*(v - 4)*(v + 1)
Let d(t) be the third derivative of -t**8/504 + 11*t**7/315 - 8*t**6/45 + 2*t**5/45 + 4*t**4/3 - 4*t**2 - 18*t. Find z, given that d(z) = 0.
-1, 0, 2, 4, 6
Let c = -42641 + 42641. Find u, given that 2/3*u**4 + c*u - 4/3*u**3 + 0 + 0*u**2 = 0.
0, 2
Let g(h) be the third derivative of -h**5/180 + 451*h**4/12 - 203401*h**3/2 - 2*h**2 + 112. Factor g(x).
-(x - 1353)**2/3
Let x be (6*(-4)/16)/(-77 - -17). Let n(d) be the second derivative of 1/8*d**4 + x*d**5 + 0 - 2*d + 0*d**2 + 1/6*d**3. What is u in n(u) = 0?
-2, -1, 0
Factor -1570*t**3 - 115*t + 120*t**2 + 780*t**3 + 785*t**3.
-5*t*(t - 23)*(t - 1)
Factor 16*j**3 + 10524*j**2 - 129104 + 664547*j - 66742 + 1064677*j + 7517 - 244635.
4*(j + 329)**2*(4*j - 1)
Suppose -5*l - 2*x + 21 = 0, -3*x = -3*l - l + 3. Suppose 6*a - l*a = 6. What is j in 14/9*j**a - 2/3*j**4 + 0 - 4/9*j - 4/9*j**3 = 0?
-2, 0, 1/3, 1
Find c such that -8357*c**2 - 186*c**3 + 8869*c**2 - 4*c**5 - 512*c - 54*c**3 + 52*c**4 + 192 = 0.
1, 2, 6
Determine k, given that -2277*k - 84 + 2*k**2 - 5*k**2 - 238 - 1271 - 681 = 0.
-758, -1
Let l be (-68)/20 + 3 - (-4160)/25. Determine a, given that -181*a**2 - 5*a**3 - 13*a + 3*a + l*a**2 = 0.
-2, -1, 0
Let k(i) be the first derivative of 14*i**4 + 244/3*i**3 + 144*i - 99 + 4/5*i**5 + 168*i**2. Factor k(r).
4*(r + 1)**2*(r + 6)**2
Determine i so that 14/11*i - 2/11*i**4 + 10/11*i**3 + 26/11*i**2 + 0 = 0.
-1, 0, 7
Let n(a) be the first derivative of 1/4*a**4 - 12*a + 11 + 0*a**2 - 1/2*a**3. Let d(l) be the first derivative of n(l). Find v, given that d(v) = 0.
0, 1
Let w be (579/(-8244))/((-11)/22). Let r = w - -6/229. Let 1/3 - 2/3*q**2 + r*q**5 - 1/3*q**3 + 1/6*q + 1/3*q**4 = 0. Calculate q.
-2, -1, 1
Let a(f) = 4*f - 1. Let r(o) = 2*o**4 - 8*o**3 - 44*o**2 + 44. Let h(u) = 2*a(u) + r(u). Let h(m) = 0. Calculate m.
-3, -1, 1, 7
Let c be (-2)/(-16)*18 + 1/(-4). Let w(t) be the second derivative of 2*t**3 + 0*t**c + 0 + 1/3*t**4 - 2*t. Factor w(s).
4*s*(s + 3)
Let n(f) be the first derivative of 23*f + 0*f**2 + 3/160*f**5 + 0*f**4 + 0*f**3 - 18. Let x(k) be the first derivative of n(k). Factor x(s).
3*s**3/8
Let i(f) = 5*f**3 - 46*f**2 + 45*f + 19. Let y(c) = 3*c**3 - 23*c**2 - 14 + 14 + 3 + 22*c + 7. Let s(h) = 4*i(h) - 10*y(h). Factor s(k).
-2*(k - 3)*(k - 2)*(5*k + 2)
Let f = -4461 - -356893/80. Let i = f - -131/80. Determine c so that -i*c**2 + 1/5*c**3 - 4 + 24/5*c = 0.
2, 5
Let 4/3*u**2 - 26/15*u - 44/15 + 2/15*u**3 = 0. Calculate u.
-11, -1, 2
Let a(i) = 2*i**2 - 159*i - 39. Let h(c) = -2*c**2 + 317*c + 79. Let j(l) = 11*a(l) + 6*h(l). Find x such that j(x) = 0.
-15, -3/10
Let s(u) = u**3 - 202*u**2 + 9238*u + 140. Let g be s(70). Factor g - 4/7*t**3 + 16/7*t**2 - 12/7*t.
-4*t*(t - 3)*(t - 1)/7
Let z(p) = 2*p**4 - p**3 - 1. Let r be 0/(12/4) - -3. Let d(b) = -7*b**4 + 5*b**3 + 3. Let a(v) = r*z(v) + d(v). Determine n so that a(n) = 0.
0, 2
Let u be (-20)/24 - (-286)/36. Let y = u + -686/99. Find t, given that -y*t**2 + 6/11*t + 8/11 = 0.
-1, 4
Let a = 38354/18469 - 434/1679. Factor a + 2/11*o**3 + 24/11*o**2 + 42/11*o.
2*(o + 1)**2*(o + 10)/11
Let b(y) = y**3 + y**2 - 2. Let l(t) = 4*t**3 + 2*t**2 - 5. Let a be (-10 - 1) + 2 - 5. Let q(o) = a*b(o) + 4*l(o). Determine k, given that q(k) = 0.
-1, 2
Suppose 5/6*x**2 + 130/3*x + 1125/2 = 0. Calculate x.
-27, -25
Let x(j) = 3*j**3 - 116*j**2 + 1159*j. Let u(m) = m**3 - 57*m**2 + 578*m. Let k(f) = -13*u(f) + 6*x(f). Factor k(d).
5*d*(d - 7)*(d + 16)
Let h(x) be the third derivative of -3*x**8/112 + 173*x**7/35 - 323*x**6/120 - 3773*x**5/90 - 421*x**4/6 - 460*x**3/9 + 730*x**2. Suppose h(y) = 0. Calculate y.
-2/3, -1/3, 2, 115
Find u such that 5326/3*u**2 + 75 + 25/3*u**4 + 740/3*u**3 - 740*u = 0.
-15, 1/5
Let p(w) = -17*w**2 - 29014*w - 41847251. Let y(r) = -185*r**2 - 319140*r - 460319760. Let i(j) = 65*p(j) - 6*y(j). Factor i(h).
5*(h + 2893)**2
Let p(g) = 11*g**2 - 146*g + 381. Let z(s) = 45*s**2 - 585*s + 1525. Let b(r) = -25*p(r) + 6*z(r). Find d, given that b(d) = 0.
3, 25
Let r(o) be the first derivative of -2*o**5/25 + 51*o**4/5 - 202*o**3/15 - 1761. Suppose r(i) = 0. Calculate i.
0, 1, 101
Let b(j) be the third derivative of 0*j**3 - 1/336*j**8 