 of 0 + 0*h - 1/2*h**3 - 49/80*h**5 + 21*h**2 + 7/8*h**v. Factor b(j).
-3*(7*j - 2)**2/4
Let -1/8*x**2 + 0 + 321/4*x = 0. Calculate x.
0, 642
Let d(g) = -33*g - 303. Let m(c) = 658*c + 6055. Let b(n) = -119*d(n) - 6*m(n). Let o be b(-13). Determine q so that -4/5*q**2 - 4/5*q + o - 1/5*q**3 = 0.
-2, 0
Factor -111160*w**2 - 352*w**3 - w**5 + 0*w**5 + 32*w**4 + 112696*w**2 - 2304*w.
-w*(w - 12)**2*(w - 4)**2
Let l(b) be the first derivative of 3*b**5/5 + 39*b**4 + 147*b**3 - 6*b**2 - 588*b - 805. Suppose l(y) = 0. Calculate y.
-49, -2, 1
Factor -180*x**2 - 54*x**3 - 375/2 + 825/2*x.
-3*(x + 5)*(6*x - 5)**2/2
Let g be (5 - -2)*45/2205. Let t(i) be the first derivative of 34 + g*i**4 + 0*i + 2/7*i**3 + 0*i**2 - 2/35*i**5. Find k such that t(k) = 0.
-1, 0, 3
Let r(q) be the first derivative of -4/5*q**2 - 1/15*q**3 + 2 + 0*q. Factor r(c).
-c*(c + 8)/5
Let m(h) be the first derivative of -3*h**4 - 1384*h**3/3 + 466*h**2 + 464*h - 176. Suppose m(y) = 0. Calculate y.
-116, -1/3, 1
Let 29/4*z**4 - 209/4*z**2 - 1/4*z**5 + 7/4*z**3 + 87/2*z + 0 = 0. What is z?
-3, 0, 1, 2, 29
Let x(h) be the first derivative of -h**7/1470 - 29*h**6/2520 - h**5/120 - h**3/3 - 3*h + 82. Let t(n) be the third derivative of x(n). What is c in t(c) = 0?
-7, -1/4, 0
Let m(r) = -9*r**2 + 509*r - 26457. Let o(q) = -8*q**2 + 502*q - 26456. Let b(l) = -6*m(l) + 7*o(l). Find x, given that b(x) = 0.
115
Let f(p) be the third derivative of -p**6/900 - 28*p**5/225 - 196*p**4/45 + 388*p**2. Factor f(x).
-2*x*(x + 28)**2/15
Let x(i) = i**3 - 2*i**2 - 22*i + 74. Let k be x(4). Let a be 16/k + (-5)/25*0. Factor -2*w**3 + 0 + 32/9*w**2 + a*w.
-2*w*(w - 2)*(9*w + 2)/9
Let w be ((-165)/132)/(1/(-4)). Factor 11*l + 5*l + 9 + w + 4*l**2 - 2.
4*(l + 1)*(l + 3)
Suppose 3*a - 272 + 254 = 0. Let p be (-2)/a - -3*35/45. Factor 0*i + 0*i**p + 0 - 2*i**4 - 4/3*i**3.
-2*i**3*(3*i + 2)/3
Let j(r) = r**5 + 3*r**4 - r**3 - r**2 - 2. Let w(h) = 12*h**5 + 24*h**4 - 26*h**3 + 14*h**2 + 32*h - 20. Let a(g) = 20*j(g) - 2*w(g). Solve a(d) = 0 for d.
-2, -1, 0, 2, 4
Let z(a) be the third derivative of -132*a**2 + 0 + 0*a - 533/56*a**4 - 79/140*a**5 - 169/14*a**3 - 3/280*a**6. Factor z(u).
-3*(u + 13)**2*(3*u + 1)/7
Let w = 3096 - 3096. Let u(q) be the third derivative of 0*q + 0 + 0*q**4 + 0*q**6 + 1/210*q**7 + 15*q**2 + w*q**3 - 1/60*q**5. Factor u(n).
n**2*(n - 1)*(n + 1)
Let s(o) be the third derivative of 8*o**8/105 + 368*o**7/525 - 6239*o**6/300 - 19709*o**5/75 + 2536*o**4/15 - 128*o**3/3 - 8690*o**2. What is i in s(i) = 0?
-8, 1/8, 10
Let q(t) = -7*t + 2*t**2 + 16 - 6*t - 8*t + 13*t. Let w be q(3). Find p such that -w + 5*p**2 + 160*p - 150*p - 5 = 0.
-3, 1
Let z(t) be the third derivative of -t**8/112 - 7*t**7/20 - 419*t**6/80 - 721*t**5/20 - 88*t**4 + 280*t**3 + 47*t**2 + 5*t + 5. What is o in z(o) = 0?
-10, -7, -4, 1/2
Find y such that 0 - 2/5*y**3 - 68/5*y - 14*y**2 = 0.
-34, -1, 0
Let o(q) = -q + 24. Let k be o(7). Let a(x) = -x + 23. Let t be a(k). What is r in t*r**2 + 2*r**2 - 12*r**3 - 5*r**2 + 5*r**2 = 0?
0, 2/3
Factor 30/7*q + 0 - 297/7*q**2.
-3*q*(99*q - 10)/7
Let o(u) = -5*u**3 + 582*u**2 - 84096*u - 170524. Let l(s) = 2*s**3 - 2. Let p(t) = -2*l(t) - o(t). Find d such that p(d) = 0.
-2, 292
Find o, given that -1274/23 - 462/23*o - 54/23*o**2 - 2/23*o**3 = 0.
-13, -7
Let o(j) be the third derivative of -7*j**6/90 + 23*j**5/30 - j**4 - 22*j**3 + 26*j**2. Let k(n) be the first derivative of o(n). Find v such that k(v) = 0.
2/7, 3
Let g = -1191004 - -1191007. What is y in -9/5*y**5 - 24/5*y**4 - 18/5 - 3*y + 42/5*y**2 + 24/5*y**g = 0?
-3, -1, -2/3, 1
Let s(d) = 12*d - 5. Let n be s(1). Let t be ((-135)/(-63))/(2/n). Factor 5/4*r**2 - t*r - 35/4.
5*(r - 7)*(r + 1)/4
Suppose 0 = -54*c - 105 + 375. Let o(r) be the second derivative of 0*r**3 + 0*r**2 + 1/36*r**4 - c*r + 0 + 1/60*r**5. Factor o(u).
u**2*(u + 1)/3
Factor 1288*b + 756*b**2 + 376*b**2 - 4*b**3 - 2416*b.
-4*b*(b - 282)*(b - 1)
Let w = 1/223230 + 17513987/223230. Let l = w + -388/5. Factor -l - 2/7*j**2 + 8/7*j.
-2*(j - 3)*(j - 1)/7
Suppose z - 41 = -4*m, z - 2 = -z. Suppose -m*x + 10*x**3 - 12*x**2 - 2*x**4 + 11 + 2*x**4 - 4*x**4 + 5*x**4 = 0. What is x?
-11, -1, 1
Let c(m) be the second derivative of -m**6/120 + m**5/20 + 11*m**4/24 - m**3/6 - 21*m**2/8 - 1645*m. Find o such that c(o) = 0.
-3, -1, 1, 7
Let y be (((-224)/180)/(-7))/((-9)/((-900)/80)). Find x, given that 7/9*x**4 - y*x**3 + 0 - 7/9*x**2 + 2/9*x = 0.
-1, 0, 2/7, 1
Let n = 11 - 9. Factor 3*k**n - 621*k + 11*k**2 + 132 + 155*k.
2*(k - 33)*(7*k - 2)
Let z be ((-34)/(-12) + -3)*-8 - (-147)/(-126). Let o(d) be the second derivative of 22*d + z*d**4 - 4/3*d**3 + 0 + 4*d**2. What is f in o(f) = 0?
2
Let p = -7323 + 7328. Let z(w) be the second derivative of 3/5*w**p + 0*w**2 + w**3 + 17*w + 5/4*w**4 + 0 + 1/10*w**6. Factor z(m).
3*m*(m + 1)**2*(m + 2)
Let b(n) be the first derivative of n**3/8 + 369*n**2/16 + 183*n/4 + 1391. Factor b(f).
3*(f + 1)*(f + 122)/8
Factor 3/2*m**3 - 720*m - 3*m**2 - 5616.
3*(m - 26)*(m + 12)**2/2
Let f be 11 + (299/(-91) - 8) - 46/(-14). Factor 4/5*w**f - 1/10*w**4 - 3/5*w**2 + 7/10 - 4/5*w.
-(w - 7)*(w - 1)**2*(w + 1)/10
Let q(y) be the second derivative of -y**4/6 + 11*y**3/3 - 28*y**2 - 2*y - 14. Suppose q(m) = 0. What is m?
4, 7
Let k = 4367/10500 - -2/2625. Let o(c) be the third derivative of 0*c + k*c**4 + 0 + 4/105*c**7 + c**2 - 1/12*c**6 - 1/3*c**3 - 1/10*c**5. Solve o(v) = 0.
-1, 1/4, 1
Suppose 48 - 2/9*p**2 + 38/9*p = 0. What is p?
-8, 27
Let j(t) = -7*t**3 - t**2 - t - 5. Let u(k) = -5*k**3 - 2*k**2 - 3*k - 6. Let v(m) = 2*j(m) - 3*u(m). Let g be v(-2). Factor -1/6*x**3 + 0 + 1/2*x - 1/3*x**g.
-x*(x - 1)*(x + 3)/6
Let h(n) be the second derivative of -n**4/3 - 176*n**3/3 - 3*n + 277. Factor h(o).
-4*o*(o + 88)
Let l(p) = -p + 2. Let r be l(-8). Factor 11*b + 5*b**2 + r*b + 28 - b - 13.
5*(b + 1)*(b + 3)
What is r in -1658 + 7*r**2 + 306*r + 930 - 9*r**2 - 1036 = 0?
6, 147
Let t(i) = i**3 + 7*i**2 + 8*i + 5. Let u be t(-6). Let k be 8 + u + (4 - 1). Find y, given that 3*y**3 + 8*y**4 - 11*y**k + 2*y**4 - 2*y**2 = 0.
0, 1, 2
Let h(s) be the second derivative of 0*s**2 + 0 + 194*s + 7/160*s**5 - 1/8*s**3 + 19/96*s**4. Find q, given that h(q) = 0.
-3, 0, 2/7
Let u = -5/41784 + 368911021/710328. Let x = -519 + u. Factor 2/17*t**3 + 8/17 + 0*t - x*t**2.
2*(t - 2)**2*(t + 1)/17
Solve -464593*l - 27139438 - 41616*l**2 + 2719660*l + 27139438 + 192*l**3 = 0 for l.
0, 867/8
Let x(y) be the second derivative of y**7/1995 + y**6/228 + y**5/285 - 2*y**4/57 + 10*y**2 - 58*y - 2. Let p(z) be the first derivative of x(z). Factor p(d).
2*d*(d - 1)*(d + 2)*(d + 4)/19
Let c be 1 - 3 - 21*12/(-117). Let o(i) = i**3 - 21*i**2 - 173*i - 63. Let d be o(-6). Factor 0*a**2 + 2/13*a - c*a**d + 0.
-2*a*(a - 1)*(a + 1)/13
Let u(k) be the first derivative of 2/25*k**5 - 8/15*k**3 + 1/5*k**4 - 8/5*k**2 + 0*k + 79. Find r such that u(r) = 0.
-2, 0, 2
Let r(s) be the third derivative of -s**8/1176 + 2*s**7/735 + 3*s**6/140 - 3*s**5/35 - 37*s**2 - 18*s. Solve r(y) = 0 for y.
-3, 0, 2, 3
Let a = -14511 + 14511. Let w(q) be the first derivative of -2/21*q**3 - 5 + a*q**2 - 1/42*q**6 - 4/35*q**5 - 5/28*q**4 + 0*q. Let w(h) = 0. Calculate h.
-2, -1, 0
Determine v, given that -4/5*v**2 + 3/5*v + 2 = 0.
-5/4, 2
Let j(d) be the first derivative of 4/5*d**2 + 0*d + 3/10*d**4 - 2/5*d**5 - 69 + 8/5*d**3. Let j(t) = 0. Calculate t.
-1, -2/5, 0, 2
Let u(r) be the second derivative of -r**4/30 + 358*r**3/3 - 160205*r**2 + 2445*r - 2. Factor u(j).
-2*(j - 895)**2/5
Let g(p) be the third derivative of p**7/70 + p**6/8 + 3*p**5/20 - 5*p**4/8 - 2*p**3 + 3*p**2 - 827*p. Determine f, given that g(f) = 0.
-4, -1, 1
Let s(t) be the first derivative of 0*t - 4/3*t**3 - 40*t**2 + 38. Let s(p) = 0. What is p?
-20, 0
Let n(d) be the second derivative of d**5/40 - 343*d**4/8 + 117649*d**3/4 - 40353607*d**2/4 - 2*d + 235. Factor n(m).
(m - 343)**3/2
Let a(s) be the first derivative of s**5/5 - s**3/3 - 1916. Find v such that a(v) = 0.
-1, 0, 1
Let h(r) = 4*r**3 + r**2 + 7*r - 3. Let s(b) = 25*b**3 + 320*b**2 + 41*b - 332. Let f(n) = 6*h(n) - s(n). Let f(i) = 0. What is i?
-314, -1, 1
Let o(t) be the first derivative of 6*t**5/35 - 20*t**4/7 - 2*t**3/21 + 990*t**2/7 + 1296*t/7 - 2609. Solve o(s) 