 0*t**2 + 0 + 0*t - 3/5*t**5 + 2/5*t**n - 1/5*t**4.
-t**3*(t + 1)*(3*t - 2)/5
Let v(a) be the third derivative of -2*a**7/105 + 41*a**6/30 + a**5/5 - 125*a**4/6 + 164*a**3/3 - a**2 - 3000. Suppose v(u) = 0. Calculate u.
-2, 1, 41
Let i(t) be the first derivative of t**5 - 45/4*t**4 - 50 + 200*t**2 + 20*t**3 - 960*t. Factor i(x).
5*(x - 4)**3*(x + 3)
Let p be (1/(-1)*(2 - 2))/(-1). Suppose i = 7*h - 19, -5*h = 5*i + 14 + 1. What is u in p*u - 8/13 + 6/13*u**h + 2/13*u**3 = 0?
-2, 1
Suppose -42*i - 9119 + 9119 = 0. Factor i*c + 6*c**5 + 0 - 10/3*c**3 + 2/3*c**2 + 2*c**4.
2*c**2*(c + 1)*(3*c - 1)**2/3
Let d = 211 - 207. Solve -9*w**2 + 4*w**5 - 17*w + 29*w + 9*w**d - w**5 - 15*w**3 = 0.
-4, -1, 0, 1
Determine z, given that 1/4*z**2 + 0 + 5/2*z - 1/4*z**4 - 5/2*z**3 = 0.
-10, -1, 0, 1
Suppose -r + 3*r + z - 7 = 0, -31 = -5*r + 2*z. Factor 11*l - r*l**3 - 20*l**2 - 26 + 6 - 36*l + 10.
-5*(l + 1)**2*(l + 2)
Factor 137430 - 137526 + 2*v**3 - v**3 - 21*v - 28*v**2 - 104*v.
(v - 32)*(v + 1)*(v + 3)
Let u(t) be the third derivative of -t**8/756 + 2*t**7/945 + t**6/18 + 23*t**5/135 + 5*t**4/27 - 1218*t**2. Determine q, given that u(q) = 0.
-2, -1, 0, 5
Let w(i) be the first derivative of -3*i**2 - 1/15*i**3 + 31/5*i - 54. Find o, given that w(o) = 0.
-31, 1
Let x(p) = -64*p**3 - 193*p**2 - 2352*p - 2160. Let m(f) = 20*f**3 - f**2. Let t(w) = 3*m(w) + x(w). Factor t(v).
-4*(v + 1)*(v + 18)*(v + 30)
Let s be (8897/(-82) - -48)*(-10)/275. Determine g, given that -1/5*g**5 + s*g**4 + 0*g - 11/5*g**2 + 1/5*g**3 + 0 = 0.
-1, 0, 1, 11
Let f(h) be the third derivative of h**9/211680 + h**8/70560 - 26*h**5/15 + 3*h**2 - 3*h. Let x(r) be the third derivative of f(r). Factor x(s).
2*s**2*(s + 1)/7
Let z(w) = 16*w**5 - 10*w**4 + 12*w**3. Let d(p) = -35*p**5 + 19*p**4 - 26*p**3. Let q(v) = 3*d(v) + 7*z(v). Factor q(u).
u**3*(u - 1)*(7*u - 6)
Let w be ((-9)/3 + 20/25)*-5. Let p(o) be the first derivative of 45*o + 35/3*o**3 - 5/4*o**4 - 75/2*o**2 + w. Factor p(u).
-5*(u - 3)**2*(u - 1)
Let r(f) be the third derivative of -1/6*f**5 - 1 + 0*f - f**2 + 1/8*f**6 + 5/3*f**3 - 5/8*f**4. Factor r(j).
5*(j - 1)*(j + 1)*(3*j - 2)
Let q(i) = 2*i**2. Let m(f) be the second derivative of -5*f**4/12 + 5*f**3/6 - 5*f**2 - 17*f - 2. Let o(x) = m(x) + 5*q(x). Let o(p) = 0. Calculate p.
-2, 1
Let d(r) be the first derivative of -15*r**4/4 - 11*r**3/2 + 177*r**2/4 + 90*r + 8407. Find b, given that d(b) = 0.
-5/2, -1, 12/5
Let q(x) = -x**2 - 10*x + 15. Let y be q(-11). Let k(a) be the second derivative of 0 - 40*a**2 - 20/3*a**3 - 18*a - 5/12*a**y. Solve k(b) = 0.
-4
Let w be 2/(78/579) + (-12)/(-78). Factor -f - 20*f + 2*f - 3*f**3 + 10*f - w*f**2 + 3*f**4.
3*f*(f - 3)*(f + 1)**2
Factor -2/7*u**2 - 1088/7 + 40*u.
-2*(u - 136)*(u - 4)/7
Suppose 5 + 2 = 7*w. Let x be w/(-1) + 4*9/12. Suppose -x*v**2 - 3 - v**2 + 75 + 5*v**2 - 24*v = 0. What is v?
6
Suppose 8/9*h + 38/9*h**2 + 0 + 10/9*h**4 + 46/9*h**3 - 2/3*h**5 = 0. What is h?
-1, -1/3, 0, 4
Let y = -11685 + 116853/10. Let w(b) be the first derivative of 0*b + 8 - 9/20*b**4 + 3/5*b**3 - y*b**2 + 3/25*b**5. Factor w(s).
3*s*(s - 1)**3/5
Let v be -6 + 8/(-6)*-6. Factor -17*t**2 - 5 - 10*t**2 - 8*t**v - 40*t.
-5*(t + 1)*(7*t + 1)
Let j = -552 + 550. Let l be j/(-10) - (198/30)/(-3). Factor -18/5*n**4 - n**5 + 8/5*n**2 + 0*n - l*n**3 + 0.
-n**2*(n + 2)**2*(5*n - 2)/5
Factor -5078*c + 10396*c**2 + 9618*c + 20 + 2116*c**3 - 5456*c.
4*(c + 5)*(23*c - 1)**2
Let u(f) = 65*f**2 - 15*f + 14. Let a(j) = 179*j**2 - 44*j + 43. Let v(k) = -4*a(k) + 11*u(k). Determine y, given that v(y) = 0.
2, 9
Let m(i) = -96*i**3 - 22810*i**2 + 11418*i - 1418. Let u(w) = 32*w**3 + 7603*w**2 - 3806*w + 473. Let h(v) = 3*m(v) + 10*u(v). Factor h(p).
2*(p + 238)*(4*p - 1)**2
Let r(x) = -x**2 - 12*x + 12. Let d be r(-8). Let h = -30 + d. Factor 2*a**2 - 11*a - 6 + h*a - 7*a.
2*(a - 3)*(a + 1)
Let q be 23/(-2)*(-3 + (-520)/(-56) - 8). Find v, given that 8/21 - 16/7*v + q*v**4 - 10/7*v**2 + 54/7*v**5 + 278/21*v**3 = 0.
-1, 2/9
Suppose -12*j + 1068 - 12 = 0. Let -61*o + 27 + 3*o**2 + 119*o - j*o = 0. What is o?
1, 9
Suppose -105*n = 38 - 209 - 249. Let t(i) be the second derivative of 1/9*i**3 + 0*i**5 - 8*i + 0 + 1/12*i**n + 0*i**2 - 1/90*i**6. Factor t(r).
-r*(r - 2)*(r + 1)**2/3
Suppose 10646*j = c + 10649*j - 33, -5*j + 41 = -3*c. Find g such that -1944*g - 1/2*g**c - 54*g**2 - 23328 = 0.
-36
Factor 100/9 + 10/3*k + 2/9*k**2.
2*(k + 5)*(k + 10)/9
Suppose -3*r = 4*r - 11*r - 29*r. Let v(m) be the third derivative of 0*m - 23*m**2 + 1/15*m**4 - 1/75*m**5 + r*m**3 + 0 - 1/150*m**6. Factor v(p).
-4*p*(p - 1)*(p + 2)/5
Determine h so that -1/2*h**4 + 47*h + 9*h**3 - 36*h**2 - 39/2 = 0.
1, 3, 13
Let v = -793 + 801. Factor -18*c**3 + 67*c + v*c - 15*c + 9*c**2 - 3*c**4 + 36.
-3*(c - 2)*(c + 1)**2*(c + 6)
Let j = -175174 + 525526/3. Factor j*i**5 - 4*i**2 + 0*i - 20/3*i**4 + 0 + 28/3*i**3.
4*i**2*(i - 3)*(i - 1)**2/3
Let g(j) = j**4 - j**3 - j**2. Suppose 8*l + 233 - 65 = 0. Let z(h) = 8*h**4 - 22*h**3 + 71*h**2 - 160*h + 96. Let q(s) = l*g(s) + 3*z(s). Factor q(m).
3*(m - 6)*(m - 4)**2*(m - 1)
Suppose -j - 3*l + 29 = 3*j, l - 23 = -3*j. Suppose -5*t - s = -17, 5*s - j = 2. Factor 14*n**2 + 10*n**2 - 6*n**t + 2*n**3 - 23*n**4 + 4*n - n**4.
-4*n*(n - 1)*(n + 1)*(6*n + 1)
Find r, given that -90*r + 7/2*r**4 + 18 - 36*r**3 + 209/2*r**2 = 0.
2/7, 1, 3, 6
Let m(r) = -212*r + 355. Let g be m(5). Let d = g + 6347/9. Factor 8/9 - d*t**2 + 0*t.
-2*(t - 2)*(t + 2)/9
Let d(z) be the second derivative of -z**5/180 + z**4/108 + 8*z**3/27 + 10*z**2/9 - 416*z - 2. Determine o so that d(o) = 0.
-2, 5
Let g = -473 - -475. Factor -58*i - i**2 + 3*i**g + 168*i.
2*i*(i + 55)
Let c(d) be the third derivative of -d**6/200 - 51*d**5/100 + 13*d**4/10 + 4*d**2 - 10*d. Factor c(w).
-3*w*(w - 1)*(w + 52)/5
Let w(l) be the third derivative of l**6/420 - 13*l**5/210 - 205*l**4/84 - 575*l**3/21 - 2*l**2 + 716*l. Let w(u) = 0. What is u?
-5, 23
Suppose -509 = 5*q - 604. Factor 4 - 2 + 5*h**2 + q*h - 4*h + 8.
5*(h + 1)*(h + 2)
Let p(v) be the second derivative of -v**4 + 544*v**3/3 - 360*v**2 - 825*v. Solve p(q) = 0.
2/3, 90
Suppose 34*n - 93 = -144*n + 262 + 179. Let -57/2*q**2 + 21/4*q**n + 3/2 - 3/4*q + 225/2*q**4 - 54*q**5 = 0. Calculate q.
-1/3, 1/4, 1/2, 2
Let i(c) be the second derivative of -c**4/78 + 16*c**3/39 - 64*c**2/13 + 518*c + 4. What is q in i(q) = 0?
8
Let l = 1455 - 429. Let h = l + -1024. Factor 1/5*v**3 + 12/5*v - 9/10 - 13/10*v**h.
(v - 3)**2*(2*v - 1)/10
Suppose -7*w = -14*w - 1190. Let s = w - -170. Suppose s*l - 1/3*l**5 - l**4 + 7/3*l**2 - 4/3 + 1/3*l**3 = 0. What is l?
-2, -1, 1
Determine n, given that -2/3*n**2 - 130 + 392/3*n = 0.
1, 195
Let q(n) be the first derivative of 144/13*n + 1/26*n**4 - 20/39*n**3 + 12/13*n**2 + 17. Factor q(l).
2*(l - 6)**2*(l + 2)/13
Let c(i) be the third derivative of i**6/300 + 347*i**5/150 + 15*i**2 - 63. Let c(f) = 0. Calculate f.
-347, 0
Let m be -4*(-45)/48*(444/(-185) + 6). Factor -m*l**2 - 30 + 3/2*l**3 + 36*l.
3*(l - 5)*(l - 2)**2/2
Let h(a) be the third derivative of -83*a**2 + 0*a + 1/270*a**6 + 0*a**3 + 5/54*a**4 + 2/45*a**5 + 0. Determine y, given that h(y) = 0.
-5, -1, 0
Suppose 0 = 11*r - 40*r + 203. Find z such that -8*z**3 - 29*z**2 + 320*z + r*z**3 + 6*z**3 - 51*z**2 = 0.
0, 8
Let n = -135 - -194. Let q = -56 + n. Factor -3*j**2 + 1 + 2*j**q - 3*j**2 + 7 + 0*j**3.
2*(j - 2)**2*(j + 1)
Let s = 1329/54760 - -1/1369. Let i(q) be the third derivative of -10*q**2 + 0*q + s*q**6 - 3/8*q**4 - q**3 + 0 + 0*q**5. Factor i(g).
3*(g - 2)*(g + 1)**2
Let d(i) = -i**3 + 91*i**2 - 12*i + 9568. Let h be d(92). Factor h + 4*a - 4*a**3 + 2/3*a**4 - 2/3*a**2.
2*a*(a - 6)*(a - 1)*(a + 1)/3
Let q be (-6)/45 + 368/60. Let y be 8/q + -38 + 37. Suppose 1/9*h**3 - y - 1/9*h + 1/3*h**2 = 0. What is h?
-3, -1, 1
Solve 96 - 212/7*m - 4/7*m**2 = 0 for m.
-56, 3
Suppose -30/11*r**2 + 2/11*r**4 + 4/11*r**3 + 0 + 0*r = 0. What is r?
-5, 0, 3
Let x(v) be the second derivative of 0*v**3 + 2/5*v**6 + 1/12*v**4 - 3/8*v**5 + 0*v**2 - 1 + 44*v + 4/21*v**7. What is r in x(r) = 0?
-2, 0, 1/4
Let z = 477517/420 + -22737/20. What is p in -z*p**4 - 96/7*p - 12/7*p**3 - 194/21*p**2 - 128/21 = 0?
-8, -1
Let a(o) be the third derivative of o**5/6 - 14*o**4/3 + 33*o**3 - 600*