+ 4/3*t**3 + 0*t**2. Determine m so that o(m) = 0.
-14, 0
Let i(r) be the first derivative of 6*r**4 - 13*r**3/3 - 15*r**2 + 7*r + 56. Let l(g) = -16*g**3 + 9*g**2 + 20*g - 5. Let a(k) = 5*i(k) + 7*l(k). Factor a(h).
2*h*(h + 1)*(4*h - 5)
Let x = -1261 - -1236. Let o be (x - -23)*(-1)/8. Factor -49/4 + 7/2*j - o*j**2.
-(j - 7)**2/4
Let h = 25222/18645 - 1350/1243. Factor 0 + 2/3*a**2 - h*a.
2*a*(5*a - 2)/15
Let z(f) be the third derivative of 0*f**6 - 1/450*f**5 + 0*f**3 + 0*f - 37*f**2 + 0 + 1/1575*f**7 + 0*f**4. Let z(i) = 0. Calculate i.
-1, 0, 1
Let n(h) be the second derivative of -h**4/9 + 142*h**3/9 + 48*h**2 + 113*h + 2. Solve n(s) = 0 for s.
-1, 72
Suppose -8 = 10*l - 12*l, -3*i = 3*l - 24426. Suppose 0 + 8135*h**2 - h**5 - i*h**2 + 3*h**4 + 2*h + 0 - h**3 = 0. Calculate h.
-1, 0, 1, 2
Suppose -1444/3*d + 0 + 4/3*d**3 - 480*d**2 = 0. What is d?
-1, 0, 361
Let o(r) be the third derivative of -3*r**6/220 + 32*r**5/55 + 131*r**4/132 + 2*r**3/3 - 942*r**2. Factor o(n).
-2*(n - 22)*(3*n + 1)**2/11
Let m(c) = -21*c**3 - 63*c**2 - 96*c - 18. Let r(t) = 6*t**3 + 18*t**2 + 26*t + 5. Let h(s) = 5*m(s) + 18*r(s). Factor h(y).
3*y*(y - 1)*(y + 4)
Let v(z) be the first derivative of 16/7*z - 4 + 2/21*z**3 + 6/7*z**2. Find j, given that v(j) = 0.
-4, -2
Let m(a) be the first derivative of 0*a + 4/27*a**3 - 16 + 0*a**2 + 1/18*a**4. Factor m(d).
2*d**2*(d + 2)/9
Factor 732*v - 797*v**2 - 745*v**2 + 1540*v**2.
-2*v*(v - 366)
Let v(b) = b**3 + 13*b**2 - 3*b - 39. Let z(o) = 2*o**3 + 3*o**2 + 7*o + 5. Let n be z(-2). Let a be v(n). Factor a*t**2 - 8/15*t + 0 + 2/15*t**3.
2*t*(t - 2)*(t + 2)/15
Suppose -96 - 19683/2*u**2 - 1944*u = 0. Calculate u.
-8/81
Suppose -456*d = -465*d - 1827. Let t = -203 - d. Suppose t*q + 0 - 10/3*q**2 + 5/3*q**3 = 0. What is q?
0, 2
Suppose -z - 5*i - 3 - 8 = 0, -5*z = -3*i - 1. Let t be 0/z*-1 - (-4 - -4). Factor t - 4*k - 596*k**2 - 2 + 594*k**2.
-2*(k + 1)**2
Find s such that -456*s**2 - 284/3*s**3 - 4*s**4 - 882*s + 2/3*s**5 - 612 = 0.
-3, -2, 17
Let r(a) = -17*a + 322. Let w be r(19). Let p be (w + (-5)/(-4))/((-23)/(-24)). Factor p*g**2 + 0*g - 2/23*g**3 + 0.
-2*g**2*(g - 3)/23
Let g be (-15)/(-45)*(3*3)/(-136 + 140). Let 0 - 1/2*n**3 + 0*n**2 + 0*n - g*n**4 - 1/4*n**5 = 0. Calculate n.
-2, -1, 0
Let c(h) be the second derivative of 0 + 56*h - 2/3*h**3 + 3*h**2 + 1/24*h**4. Factor c(o).
(o - 6)*(o - 2)/2
Let q(y) be the first derivative of -y**4/16 + 131*y**3/12 - 129*y**2/4 + 254. Determine h, given that q(h) = 0.
0, 2, 129
Factor -250 - 102/5*o**2 - 2/5*o**3 - 270*o.
-2*(o + 1)*(o + 25)**2/5
Let c(k) be the second derivative of 10*k + 35/2*k**4 + 75/2*k**2 - 110/3*k**3 + 2 - 1/6*k**6 - 3*k**5. Factor c(x).
-5*(x - 1)**3*(x + 15)
Suppose 2*o + 241 = 245. Let n be (-92)/(-69) + (-1 - 0). Factor -2/3 - n*i**o - i.
-(i + 1)*(i + 2)/3
Let r(c) be the first derivative of 3/4*c**4 + 13/3*c**3 - 5*c**2 + 0*c - 1/6*c**6 - c**5 - 94. Factor r(k).
-k*(k - 1)**2*(k + 2)*(k + 5)
Suppose 76*n + 722*n**2 - 375*n**2 - 395*n**2 - n**4 - n**3 - 16 + 5*n**4 = 0. Calculate n.
-4, 1/4, 2
Let d(l) = -3*l**4 - 18*l**3 + 57*l**2 + 3*l. Let v(o) = -2*o**3 + o**2 - o. Let q(p) = d(p) + 3*v(p). Factor q(i).
-3*i**2*(i - 2)*(i + 10)
Let p = 2392/61 - -9608/427. Factor 2/7*h**5 + 0 - p*h + 216/7*h**2 + 180/7*h**3 + 34/7*h**4.
2*h*(h - 1)*(h + 6)**3/7
Let i be ((-408)/(-198) + -2)/(10*2/80). Let s(f) be the third derivative of -1/330*f**5 + 16*f**2 + 1/66*f**4 + 0*f + i*f**3 + 0. Let s(q) = 0. Calculate q.
-2, 4
Let w be (-6 - 18/(-4))*2 + -1115. Let o = w - -10064/9. What is b in 4/9*b**2 - 2/9 + 0*b**3 + 0*b - o*b**4 = 0?
-1, 1
Let j = 393/1604 - -2/401. Let f(v) be the first derivative of -j*v**3 - 32 - 15/2*v**2 - 75*v. Factor f(s).
-3*(s + 10)**2/4
Let c(p) be the third derivative of p**8/312 - 19*p**7/1365 - 11*p**6/780 + 43*p**5/390 + 2*p**4/39 - 20*p**3/39 + 684*p**2. Find r such that c(r) = 0.
-1, 5/7, 2
Suppose 3*o = g + 29, -7*o - 22 = -9*o + 2*g. Suppose -o*u + 84 = 30. Factor -14*l**2 + 5*l**2 + 5*l**2 + u*l**2 - 4*l.
2*l*(l - 2)
Suppose -2*u + 157 = -0*u + r, 0 = -3*u - 4*r + 243. Solve u*b**2 + 6*b**5 + 79*b**2 - 3*b**5 + 9*b**3 - 12*b - 12*b**4 - 144*b**2 = 0.
-1, 0, 1, 2
Let y(i) be the third derivative of -5*i**5/16 - 1745*i**4/16 - 121801*i**3/8 + 1672*i**2. Suppose y(p) = 0. What is p?
-349/5
Let w(p) = 2*p**4 - p**3 + 13*p**2 - 23*p. Let y(q) = -3*q**4 - 28*q + 37*q + 2*q**3 + 169*q**2 + 36*q - 196*q**2. Let o(m) = 5*w(m) + 3*y(m). Factor o(h).
h*(h - 2)**2*(h + 5)
Let w(z) = z**2 - 15*z - 40. Let y be w(20). Suppose y*b = 21*b. Find h such that b + 0*h + 2/13*h**2 = 0.
0
Let q(w) be the third derivative of 1/1020*w**6 - 1/51*w**4 + 0*w + 8/1785*w**7 - 8*w**2 - 4/255*w**5 - 1 + 0*w**3 + 1/952*w**8. Solve q(u) = 0 for u.
-2, -1, -2/3, 0, 1
Let b(f) be the third derivative of -f**5/90 - 7*f**4/12 + 60*f**3 - 5099*f**2. Factor b(l).
-2*(l - 15)*(l + 36)/3
Let x(n) be the third derivative of 49*n**2 + 0*n - 7/2*n**3 - 1/40*n**5 + 0 - 15/16*n**4. Suppose x(z) = 0. Calculate z.
-14, -1
Let v(p) be the first derivative of -p**4/16 - 163*p**3/4 - 79707*p**2/8 - 4330747*p/4 + 23. Let v(c) = 0. What is c?
-163
Let j(f) = 5*f**2 - 607*f - 272. Let o(m) = 15*m**2 - 1823*m - 831. Let k(q) = 21*j(q) - 6*o(q). Suppose k(c) = 0. What is c?
-2/5, 121
Let s be 35 + ((-4)/(-8))/(2/(-12)). Let y be 4/s + (-7)/56. Factor 4/9*f + 4/9*f**2 + y.
4*f*(f + 1)/9
Let w = 5140 - 5135. Let x(l) be the third derivative of 2/9*l**3 + 1/180*l**6 - 1/315*l**7 + 0*l - w*l**2 + 1/30*l**5 + 0 - 5/36*l**4. Factor x(f).
-2*(f - 1)**3*(f + 2)/3
Let y(b) = -6*b**3 + 21*b**2 + 24*b - 69. Let g(m) = 7*m**3 - 22*m**2 - 21*m + 72. Let p(n) = 5*g(n) + 6*y(n). Factor p(r).
-(r - 18)*(r - 1)*(r + 3)
Let d be ((-2)/(-13))/((-91)/7852). Let g = d - -180/13. Factor 8/7*s**3 + 0 + 4/7*s**2 - g*s**4 - 8/7*s.
-4*s*(s - 2)*(s - 1)*(s + 1)/7
Factor -13*h**3 + 1032*h + 9727829 + 115*h**3 - 9728565 - 7*h**4 - 508*h**2.
-(h - 4)*(h - 2)**2*(7*h - 46)
Let d(l) be the third derivative of l**6/360 + 2*l**5/9 + 533*l**4/72 + 1183*l**3/9 - 13*l**2 + 15*l. Solve d(u) = 0 for u.
-14, -13
Let a(k) be the second derivative of 19/18*k**2 - 182*k + 0 + 1/108*k**4 + 10/27*k**3. Factor a(t).
(t + 1)*(t + 19)/9
Let r(t) be the third derivative of -t**8/112 + 407*t**7/70 + 817*t**6/40 + 409*t**5/20 + 5217*t**2. Factor r(o).
-3*o**2*(o - 409)*(o + 1)**2
Let u(i) be the first derivative of 5*i**4/4 + 10*i**3/3 - 255*i**2/2 + 540*i + 904. Factor u(a).
5*(a - 4)*(a - 3)*(a + 9)
Let 4*n**2 - 5*n**2 + 4*n**2 - 1412 - 1111 + 3711 - 600*n = 0. Calculate n.
2, 198
Let n(y) be the first derivative of -4/25*y**5 - 1/10*y**4 - 1/15*y**6 + 0*y**3 + 0*y - 64 + 0*y**2. Factor n(z).
-2*z**3*(z + 1)**2/5
Let g(i) = -2*i**3 + 6*i**2 + 6*i - 1. Let k be g(-1). Let s be (3 - (k - 3))*(-16)/(-32). Factor 5/4*l**3 + 0 - s*l + 5/4*l**2.
5*l*(l - 1)*(l + 2)/4
Let 88 - 173/2*q**2 - 36*q - 1/2*q**5 + 73/2*q**3 - 3/2*q**4 = 0. Calculate q.
-11, -1, 1, 4
Suppose -715 = -1482*y + 1339*y. Let u(g) be the first derivative of 0*g - 5/24*g**4 - 1/3*g**5 - y + 5/9*g**3 + 5/36*g**6 + 0*g**2. Find k such that u(k) = 0.
-1, 0, 1, 2
Let y(d) be the third derivative of 1/3*d**4 + 0*d + 1/15*d**6 + 1/3*d**5 + 5 + 0*d**3 - 5*d**2. What is b in y(b) = 0?
-2, -1/2, 0
Let o(d) be the third derivative of d**7/210 - 547*d**6/120 - 1097*d**5/60 - 183*d**4/8 + 12138*d**2. Let o(v) = 0. What is v?
-1, 0, 549
Determine q so that 10/11*q**3 + 26/11*q**2 - 8/11*q**4 - 18/11 - 10/11*q = 0.
-1, 1, 9/4
Find p such that 4/3*p**2 + 0*p + 144*p**3 + 0 - 217/3*p**4 = 0.
-2/217, 0, 2
Let h = -4454 - -4456. Let y(v) be the first derivative of -5/2*v**h - 5/3*v**3 + 18 + 0*v. Find c, given that y(c) = 0.
-1, 0
Let d(k) be the third derivative of 0*k + 1/160*k**5 + 0 - 7/16*k**4 + 49/4*k**3 + 87*k**2. Determine z so that d(z) = 0.
14
Let c(q) be the first derivative of 6*q**6/7 - 244*q**4/7 + 648*q**3/7 + 54*q**2/7 - 216*q/7 + 5536. Determine s so that c(s) = 0.
-6, -1/3, 1/3, 3
Let a(s) be the first derivative of 11*s**3/6 - 3*s**2 - 10*s + 637. Factor a(v).
(v - 2)*(11*v + 10)/2
Let t(b) be the third derivative of -b**5/240 + 33*b**4/32 + 25*b**3/6 - 1822*b**2 + 1. Determine q, given that t(q) = 0.
-1, 100
Let p = -2284 - -95929/42. Let h(a) be the secon