ermine b so that l(b) = 0.
4/17
Suppose 0 = 4*y - 4*c - 16, -2*c + 10 = -4*y + 18. Let j(o) be the third derivative of 0*o**3 + 0 + 0*o + y*o**4 + o**2 - 1/12*o**5. Factor j(k).
-5*k**2
Let q(n) be the first derivative of n**7/3360 - n**6/1440 + 42*n**3 - 29. Let t(v) be the third derivative of q(v). Find y such that t(y) = 0.
0, 1
Let f be (11 - (-189)/(-14))/(((-70)/8)/7). Factor 0 - 1/3*l + 4/3*l**f.
l*(4*l - 1)/3
Let i(c) be the third derivative of -c**9/15120 + c**8/5040 + c**7/630 - c**5/15 + c**4/12 + 8*c**2. Let s(b) be the third derivative of i(b). Solve s(x) = 0.
-1, 0, 2
Let y(g) = -5*g**3 - 67*g**2 - 143*g - 73. Let z(a) = 7*a**3 + 68*a**2 + 145*a + 74. Let l(f) = -5*y(f) - 4*z(f). What is w in l(w) = 0?
-1, 23
Find g, given that 154*g**2 - 411845 + 1390*g - 159*g**2 + 1480*g = 0.
287
Let v be -18 + (-7)/91*(-57 - 216). Let i = -1226/5 + 246. Solve 2/5*l**v - i + 4/5*l**2 - 2/5*l = 0.
-2, -1, 1
Let g be 1521/45 + (-1344)/105 + 12. Suppose -3/4*f**2 + g*f - 363 = 0. What is f?
22
Let k(w) be the first derivative of -3*w**4/20 - 152*w**3/15 + 145*w**2/2 + 110*w + 4765. Find n, given that k(n) = 0.
-55, -2/3, 5
Factor -1/8*u**2 + 119/2 - 5/2*u.
-(u - 14)*(u + 34)/8
Find i, given that 3*i**5 - i**3 - 9*i**4 - 11*i**3 - 3*i**3 - 4*i**2 + 12*i + 9*i**2 + 4*i**2 = 0.
-1, 0, 1, 4
Let p(o) be the third derivative of o**6/1140 - 614*o**5/285 - 150*o**2 - 19. Suppose p(b) = 0. Calculate b.
0, 1228
Let j(h) be the second derivative of h**5/80 + 85*h**4/48 + 266*h**3/3 + 3249*h**2/2 + h + 2511. Determine d, given that j(d) = 0.
-38, -9
Let p(y) = -88*y**3 + 427*y**2 - 465*y - 72. Let s(j) = j**2 - 3*j. Let r(t) = -p(t) - s(t). Suppose r(m) = 0. Calculate m.
-3/22, 2, 3
Let c(n) = 4*n**2 + 26*n - 3. Let q be 10*5*(-7)/(-70). Let j(t) = 7*t**2 + 51*t - 5. Let m(z) = q*c(z) - 3*j(z). Factor m(y).
-y*(y + 23)
Let s = 355 - 880. Let c = s + 527. Find d, given that d - 2/5 - 4/5*d**c + 1/5*d**3 = 0.
1, 2
Factor 1/2*w**4 + 0*w + 0 + 85849/2*w**2 - 293*w**3.
w**2*(w - 293)**2/2
Solve -21/5*j**3 + 172/5*j + 48 - 12/5*j**2 - 1/5*j**4 = 0.
-20, -2, 3
Factor 5*h**5 + 240*h**3 - 15360*h - 1466*h**2 - 10289*h**4 - 1709*h**2 + 10379*h**4 - 25*h**2.
5*h*(h - 6)*(h + 8)**3
Let c be (-146)/2409*-55 + (-2)/(-3). Suppose c*v + 16/3 - 4/3*v**2 = 0. What is v?
-1, 4
Let c(r) = 15*r**3 - 120*r**2 - 960*r - 2580. Let m(a) = -a**3 + 1. Let l be (1*5/(-2))/(15/120). Let f(s) = l*m(s) - c(s). Factor f(j).
5*(j + 8)**3
Let y = -1020644 - -1020647. Factor 0*q**2 + 0 + 2/15*q**y - 2/15*q.
2*q*(q - 1)*(q + 1)/15
Let j(r) be the first derivative of 0*r + 1/2*r**4 - 18*r**3 + 155 + 26*r**2. Factor j(b).
2*b*(b - 26)*(b - 1)
Let i(a) = 9*a + 2. Suppose 3*l + 4*z + 8 = 0, -3*l - 14*z - 6 = -11*z. Let x be i(l). Suppose 0 + 1/11*g**x - 1/11*g = 0. Calculate g.
0, 1
Suppose -56*x + 488*x + 5622 = -779*x + 8044. Let i be (-3)/2*(-4)/18. Factor i*m**x + 13/3 - 14/3*m.
(m - 13)*(m - 1)/3
Let z(r) be the first derivative of 56*r**5/5 - 68*r**4 + 146*r**3 - 131*r**2 + 52*r - 1565. Let z(m) = 0. Calculate m.
1/2, 13/7, 2
Let z(i) be the third derivative of i**2 + 8/105*i**7 + 14 - 1/3*i**6 - 1/168*i**8 + 0*i**4 + 8/15*i**5 + 0*i + 0*i**3. Factor z(u).
-2*u**2*(u - 4)*(u - 2)**2
Let t(n) be the first derivative of -49*n**4 + 5992*n**3/3 - 1688*n**2 + 480*n - 13730. Factor t(o).
-4*(o - 30)*(7*o - 2)**2
Suppose 5*v - 20 = 11*j - 6*j, -3*j = -5*v + 16. Let w be v/7*175/375. Suppose w*i**2 - 8/15 - 2/5*i = 0. What is i?
-1, 4
Let j = -23222/7 + 3318. What is n in -54/7*n - j*n**3 - 20/7 - 30/7*n**2 = 0?
-5, -2, -1/2
Let o be (-200)/(-72)*3 + 1/(-3). Let -44*b**3 + 36*b**5 + o*b + 14*b - 28*b**4 + 28*b**2 - 14*b = 0. What is b?
-1, -2/9, 0, 1
Let k(y) be the second derivative of 128*y**7/21 - 224*y**6/5 + 81*y**5/5 - 5*y**4/3 - 16*y - 28. Factor k(r).
4*r**2*(r - 5)*(8*r - 1)**2
Let q = 4255754/9 - 472860. Determine b so that 4 + 2/3*b**3 + 2/9*b**4 - q*b**2 - 10/3*b = 0.
-3, 1, 2
Let u(j) = -5*j - 198. Let b be u(-18). Let o be (36/(-42))/(b/56). Factor 2/9*w**2 + 2/9*w**4 + 0 + 0*w + o*w**3.
2*w**2*(w + 1)**2/9
Let g(a) be the first derivative of -11 + 12/7*a**3 + 27/14*a**4 - 8*a + 4/7*a**2. Let f(w) be the first derivative of g(w). Factor f(o).
2*(9*o + 2)**2/7
Let g(h) be the second derivative of 0*h**2 - 144*h + 0 + 1/12*h**4 + 1/2*h**3. Factor g(t).
t*(t + 3)
Let v(z) be the third derivative of -z**6/40 - z**5/24 - 3*z**2 - 4406. Find k such that v(k) = 0.
-5/6, 0
Let k be (-6 + 2640/448)/((-9)/48). Factor -k*t**2 + 0 + 52/7*t.
-4*t*(t - 13)/7
Let q = 51/305 - -2/61. Let i be (-25)/175*(-154)/220*2. Factor -3/5*j**2 - 3/5*j**3 + 0 - q*j - i*j**4.
-j*(j + 1)**3/5
Let z(r) = -110*r**3 + 1145*r**2 - 2595*r. Let p = 126 - 81. Let x(b) = -5*b**3 + 52*b**2 - 118*b. Let o(h) = p*x(h) - 2*z(h). Let o(j) = 0. What is j?
0, 4, 6
Let k(o) be the second derivative of -o**4/30 - 356*o**3/15 + 357*o**2/5 - 36*o - 47. Factor k(d).
-2*(d - 1)*(d + 357)/5
Suppose n - 4*o = -13, -o = -n - 1 - 0. Factor -18*t**4 - 15*t**3 - 5*t**n + 20*t**4.
2*t**3*(t - 10)
Let a = -436280/3 + 143314. Let o = 2113 + a. Let 1/3*h**3 - 2/3 - o*h + 2/3*h**2 = 0. What is h?
-2, -1, 1
Find k, given that 2/5*k**4 + 8662/5*k**2 + 254/5*k**3 + 0 + 7442*k = 0.
-61, -5, 0
Factor 4/3*y**4 - 4/3*y**2 + y**3 + 0 + 1/3*y**5 - 4/3*y.
y*(y - 1)*(y + 1)*(y + 2)**2/3
Let j(m) be the first derivative of m**4/30 + 46*m**3/9 + 38*m**2/5 - 2200. Find n such that j(n) = 0.
-114, -1, 0
Factor 2352637/2 - 3/4*u**4 - 1195/4*u**3 - 158403/4*u**2 - 6951777/4*u.
-(u + 133)**3*(3*u - 2)/4
Let q be -1341*(-10)/(-50)*-5. Suppose -3*i + 1350 - q = 0. Factor 0 + 0*y**2 - 5/4*y**5 + 0*y + 0*y**4 + 0*y**i.
-5*y**5/4
Let s(b) = -745*b**2 + 176395*b - 35255. Let q(f) = 31*f**2 - 7350*f + 1469. Let t(g) = 145*q(g) + 6*s(g). Suppose t(u) = 0. Calculate u.
1/5, 295
Suppose -3*y = -7*o + 21, o + 4*y + 185 - 157 = 0. Determine v, given that -10/7*v**2 + 22/7*v**3 + o - 2*v**4 + 2/7*v**5 + 0*v = 0.
0, 1, 5
Solve -114828/5*w**4 + 286572/5*w**2 + 18768/5 + 140808/5*w - 294/5*w**5 + 49998/5*w**3 = 0.
-391, -1, -2/7, 2
Let d(w) be the second derivative of w**6/10 + 31*w**5/20 + 49*w**4/12 - 59*w**3/6 - 12*w**2 - w - 86. Solve d(v) = 0.
-8, -3, -1/3, 1
Let l be (-3)/(-1 + 0) - 5635/(-23). Suppose 36 - 3*u + 276*u**2 - l*u**2 - 2*u + 4*u**3 + 65*u = 0. Calculate u.
-3, -1
Let v(b) be the third derivative of -b**6/24 - 115*b**5/4 - 6235*b**4 - 73960*b**3/3 + 3324*b**2. Suppose v(q) = 0. Calculate q.
-172, -1
Let z(j) be the second derivative of -j**5/10 - 26*j**4/3 - 725*j**3/3 - 1250*j**2 - 9*j - 184. Factor z(h).
-2*(h + 2)*(h + 25)**2
Let u(l) = -2*l**3 - 116*l**2 - 1094*l. Let c(v) = 2*v**3 + 115*v**2 + 1057*v. Let p(x) = 6*c(x) + 7*u(x). Factor p(n).
-2*n*(n + 14)*(n + 47)
Let l(x) = 10062*x + 120750. Let z be l(-12). Suppose z*k + 0 - 3/2*k**3 + 0*k**2 = 0. What is k?
-2, 0, 2
Let d(h) be the second derivative of 1/168*h**7 + 1/120*h**6 - 3/80*h**5 + 0 + 46*h + 0*h**2 - 1/48*h**4 + 1/12*h**3. Factor d(i).
i*(i - 1)**2*(i + 1)*(i + 2)/4
Let g(l) be the first derivative of -l**5/720 + 5*l**4/288 + 7*l**3/36 + 13*l**2 - 72. Let v(t) be the second derivative of g(t). Factor v(j).
-(j - 7)*(j + 2)/12
Let r(y) be the second derivative of -5*y**4/48 - 155*y**3/24 - 495*y**2/4 - 3783*y. What is u in r(u) = 0?
-22, -9
Let k be (8 + -2)*26/52. Solve 96*w**k + 0*w - 16 + 195*w**2 - 23*w**2 - 12*w**3 + 0*w = 0 for w.
-2, -1/3, 2/7
Let p = 4156 - 4153. Let u(c) be the third derivative of -1/126*c**7 + 0*c**4 + 0*c + 0 + 1/36*c**6 - 24*c**2 + 0*c**p + 1/12*c**5. Factor u(b).
-5*b**2*(b - 3)*(b + 1)/3
Let c(j) be the third derivative of -j**5/30 + 157*j**4/3 - 209*j**3 + 4679*j**2. Factor c(b).
-2*(b - 627)*(b - 1)
Let f be (-7)/(-2)*14812/1127. Let z(b) = 8*b**2 - 368*b + 2. Let g be z(f). Solve -28/17*d - 4/17*d**3 + 24/17*d**g + 10/17 - 2/17*d**4 = 0.
-5, 1
Let t(z) be the first derivative of 2*z**5/15 + 65*z**4/3 + 86*z**3/3 - 5185. Factor t(x).
2*x**2*(x + 1)*(x + 129)/3
Let j be 0 + 10 - (-15390)/(-1620). Let o be 78/240 - 2/10. Let j - o*r**2 + 0*r = 0. What is r?
-2, 2
Let t(c) = 2*c**3 - 6*c. Let w(g) = g + 2. Let s be w(-4). Let q(l) = -l - 49. Let j be q(-48). Let f(b) = -b**2 + b. Let p(i) = j*t(i) + s*f(i). Factor p(h).
-2*h*(h - 2)*(h + 1)
Suppose 44*r - 177 -