 m be 8 + 702/(-143) - 144/132. Factor 5/3*a - 11/3*a**m - 1/3*a**4 + 7/3*a**3 + 0.
-a*(a - 5)*(a - 1)**2/3
Let t = -104 + 1513. Let d = t - 15469/11. Find q such that -16/11*q**3 - d*q**2 - 2/11 + 16/11*q + 32/11*q**4 = 0.
-1, 1/4, 1
Let n(y) be the second derivative of -y**4/12 - 127*y**3/3 + 255*y**2/2 - 17*y - 8. Find v, given that n(v) = 0.
-255, 1
Let l = -371199/4 - -92800. Find z, given that 1/4 - l*z**2 + 1/4*z**3 - 1/4*z = 0.
-1, 1
Factor 1/5*c**3 + 8712/5 + 561/5*c - 58/5*c**2.
(c - 33)**2*(c + 8)/5
Suppose 15*l - 14 = 526. Suppose 150*b**3 - 98*b**5 - l*b**2 - 18*b**4 - 22*b**4 - 55*b**4 - 17*b**4 = 0. What is b?
-2, 0, 3/7
Let i(y) be the third derivative of y**7/420 + y**6/5 + 35*y**5/8 - 625*y**4/24 + 33*y**2 - 6. Find k, given that i(k) = 0.
-25, 0, 2
Let b be 11 + 2892/(-240) + 5 + (-1)/(-20). Let t = -2341/11 - -213. Factor 14/11*x**3 - 12/11*x**2 - t*x**b + 0*x + 0.
-2*x**2*(x - 6)*(x - 1)/11
Suppose 235*v = 242*v - 2205. Let o = v - 313. Factor 0 - 1/2*l + 2*l**3 - 3/2*l**o.
l*(l - 1)*(4*l + 1)/2
Suppose 3955946*c + 485*c**2 - 3954066*c + 1273 + 587 + 5*c**3 = 0. What is c?
-93, -2
Factor -105*r**4 + 24357*r**2 + 234375 + 53540*r - 7107*r**2 - 175415*r - 3*r**5 + 150*r**3.
-3*(r - 5)**3*(r + 25)**2
Let f(h) be the first derivative of -2*h**4 + 17/3*h**3 - 9/2*h**2 - 13 + 9*h. Let l(p) = -2*p**3 + 4*p**2 - 2*p + 2. Let v(j) = -4*f(j) + 18*l(j). Factor v(g).
-4*g**2*(g - 1)
Suppose -3/5*j**4 + 348 - 1743/5*j - 1737/5*j**2 + 1743/5*j**3 = 0. Calculate j.
-1, 1, 580
Let w(c) = -10*c**5 - 30*c**4 - 75*c**3 + 75*c**2 + 395*c + 330. Let q(t) = -t**5 + 2*t**4 + t**3 - t**2 - t + 2. Let v(h) = -5*q(h) + w(h). Solve v(g) = 0.
-4, -2, 2
Suppose -4*r - 16 = 0, 5*f = -5*r + 3968 + 797. Let c = -954 + f. Solve 4/9*m**5 + 32/9*m**c + 0*m - 16/9*m**2 + 0 - 20/9*m**4 = 0.
0, 1, 2
Let t(b) be the second derivative of -b**6/195 + 11*b**5/130 - 4*b**4/13 - 5619*b. Let t(s) = 0. What is s?
0, 3, 8
Factor 2/9*l**2 - 32/9*l - 32/9 + 2/9*l**3.
2*(l - 4)*(l + 1)*(l + 4)/9
Suppose -212*c + 7814 - 724 = 175*c - 650. Let -c*r - 16/3 - 86/3*r**2 - 6*r**4 - 58/3*r**3 - 2/3*r**5 = 0. What is r?
-4, -2, -1
Suppose 1300 = -327*k + 985*k - 674. Suppose 30*u**2 - 40/3*u**k - 45 + 0*u + 5/3*u**4 = 0. Calculate u.
-1, 3
Factor -440*u**2 + 4*u**4 - 295*u - 77*u**2 - 160*u**3 + 9*u**2 - 49*u.
4*u*(u - 43)*(u + 1)*(u + 2)
Suppose z - 38*s = -35*s + 3, 10*z = 4*s + 4. Let c(b) be the third derivative of 1/15*b**5 - 1/12*b**4 + 1/60*b**6 + z + 0*b - b**2 - 2/3*b**3. Factor c(f).
2*(f - 1)*(f + 1)*(f + 2)
Let a(b) = 10271*b + 51355. Let j be a(-5). Find r such that 0*r**2 + 0*r + j - 6*r**3 - 1/3*r**4 = 0.
-18, 0
Let k = -431/385 + 93/55. Let v(i) be the first derivative of -2/21*i**3 - k*i - 3/7*i**2 - 32. Factor v(x).
-2*(x + 1)*(x + 2)/7
Let o be (-1 - 1) + 9 + -2404. Let b = -2392 - o. Factor -5/3*z**3 + b*z**2 - 20/3 + 0*z.
-5*(z - 2)**2*(z + 1)/3
Let t(h) be the second derivative of 57/7*h**3 + 0 + 2/105*h**5 + 722/21*h**2 + 72*h + 2/3*h**4. Factor t(b).
2*(b + 2)*(2*b + 19)**2/21
Let q(g) = 141*g + 2115. Let w be q(-15). Suppose w - 1/2*v**2 - 3*v + 2/3*v**3 + 1/6*v**4 = 0. Calculate v.
-3, 0, 2
Let m(p) be the second derivative of 1000*p**6/3 - 990*p**5 - 80399*p**4/12 - 267*p**3 - 4*p**2 - 282*p. Factor m(r).
(r - 4)*(r + 2)*(100*r + 1)**2
Suppose 4*j + 13 = -4*w + 5, 5*j = -3*w - 16. Suppose 0 = -2*b - 5*i - 20, -b + w*b - 4*i = 16. Factor 0 + 0*p**3 + b*p - 2/5*p**5 - 8/5*p**2 + 6/5*p**4.
-2*p**2*(p - 2)**2*(p + 1)/5
Let w(x) be the first derivative of 3*x**5/20 - 219*x**4/16 - 136*x**3 - 951*x**2/2 - 720*x + 3953. Solve w(c) = 0.
-3, -2, 80
Let b be ((-51057)/39711)/(6/(-14)). Let -4/11*d**2 + 0 + 0*d + 2/11*d**b = 0. What is d?
0, 2
Let w = -539 - -541. Factor -35*b**2 + 3*b**3 + 55*b - 8*b**3 - 4*b**2 - 11*b**w.
-5*b*(b - 1)*(b + 11)
Let v(w) be the third derivative of w**8/168 - 5*w**7/21 + 11*w**2 - 4. Factor v(h).
2*h**4*(h - 25)
Let f(g) = 76*g**3 + g**2 + 3*g + 4. Let r be f(-2). Let v = r + 608. Solve -2/13*b**4 + 10/13*b + 2/13*b**5 - 12/13*b**3 + 6/13 - 4/13*b**v = 0 for b.
-1, 1, 3
Let w be -10*(570/25 + -23). Let 0*p**w + 0 + 2/5*p**4 + 0*p - 6/5*p**3 = 0. What is p?
0, 3
Let u(g) be the first derivative of 2*g**5/15 + 18*g**4 - 146*g**3/3 + 110*g**2/3 - 205. Solve u(a) = 0.
-110, 0, 1
Let c be (-2)/(-5) - 3248/20. Let s be (-36)/c*(20 + -2). Let 28*z**s - 64/5 + 416/5*z - 496/5*z**3 + 98/5*z**5 - 544/5*z**2 = 0. Calculate z.
-2, 2/7, 2
Suppose -19*o = 17*o - 432. Suppose o*d - 2 = 46. Suppose 0*q + 0*q**2 - 1/2*q**5 - 1/2*q**d + q**3 + 0 = 0. What is q?
-2, 0, 1
Let 196*u**2 + 2*u**5 - 34*u**4 - 126*u + 99*u**3 - 6391 + 25*u**3 + 12530 - 6301 = 0. Calculate u.
-1, 1, 9
Suppose -4*j + 282 - 122 = 0. What is n in -4 - j*n**3 + 15*n**4 - 68*n**2 - 21 - 82*n**2 - 14*n - 106*n = 0?
-1, -1/3, 5
Let w = 1961/248 + -467/62. Determine q so that -25/8*q**2 + 0 - w*q = 0.
-3/25, 0
Let g(l) be the third derivative of -l**8/21 + 6*l**7/5 - 283*l**6/24 + 12053*l**5/240 - 289*l**4/32 - 4913*l**3/6 - l**2 - 502. Suppose g(n) = 0. Calculate n.
-1, 4, 17/4
Suppose -4*u + 4 = 6*q - q, 0 = -5*u + 5. Suppose -11*c + 4*d = -8*c, 5*c + 3*d = q. Solve 18/11*n**4 + 6/11*n**3 - 4/11*n**2 + c*n + 0 = 0 for n.
-2/3, 0, 1/3
Let n(j) = 5*j**3 + 2*j**2 - 2*j - 1. Let w(m) = 20*m**3 + 44*m**2 + 140*m + 90. Let d(u) = 6*n(u) - w(u). Determine y, given that d(y) = 0.
-2, -4/5, 6
Let v = 70651729/76604108 - 9/321866. Let y = v + 15/68. Let -16/7*w + 10/7*w**4 + 2/7*w**5 + 12/7*w**3 - y*w**2 + 0 = 0. Calculate w.
-2, 0, 1
Let d(z) be the third derivative of -z**7/70 + 121*z**6/20 - 14641*z**5/20 + 249*z**2. Find o, given that d(o) = 0.
0, 121
Let j(u) be the first derivative of 5*u**3/3 - 675*u**2/2 - 680*u + 1166. Determine l so that j(l) = 0.
-1, 136
Let p(r) be the first derivative of -r**5/5 - 3*r**4/2 - 7*r**3/3 + 3*r**2 + 8*r - 800. Determine y so that p(y) = 0.
-4, -2, -1, 1
Let z(c) be the first derivative of c**5/135 + 4*c**4/27 + 14*c**3/27 + 6*c**2 - 2*c + 22. Let u(h) be the second derivative of z(h). Factor u(k).
4*(k + 1)*(k + 7)/9
Let z(g) = -7*g - 3. Let a be z(4). Let f = a + 36. Suppose -65*c**2 + f - 26 + 1 + 15*c**3 + 80*c = 0. What is c?
1/3, 2
Let s(t) = 11130*t + 22269. Let b be s(-2). Factor 0*m + 0 - 3*m**3 - b*m**2 + 3/4*m**4.
3*m**2*(m - 6)*(m + 2)/4
Let t(k) be the second derivative of k**7/840 - 5*k**4/2 - k**3/3 + 34*k. Let c(s) be the third derivative of t(s). Solve c(z) = 0 for z.
0
Factor -207/2*c + 1/2*c**2 + 0.
c*(c - 207)/2
Let m = -28243 + 28245. Solve -68/11*n**m + 130/11*n + 2/11*n**3 - 64/11 = 0.
1, 32
Let t(c) be the third derivative of 0*c - 11/84*c**4 + 5/21*c**3 - 1 - 4/147*c**7 - 31/70*c**5 - 65*c**2 + 17/60*c**6. Let t(n) = 0. Calculate n.
-1/4, 1/5, 1, 5
Factor -2109*i - 44*i**3 + 97*i**3 + 1992 + 486*i**2 + 129*i - 50*i**3.
3*(i - 2)**2*(i + 166)
Solve -25584*b + 9312 + 14801 - 4*b**3 + 29679 - 648*b**2 = 0 for b.
-82, 2
Let a = 3/33121 + 132475/99363. What is n in 10/3*n**2 + 0 + n - 3*n**3 - a*n**4 = 0?
-3, -1/4, 0, 1
Let s be (-5 + 19)*2/22. Suppose -4*u + 74 = -6*v, 16 = -3*u + 43*v - 45*v. Solve -18/11*b + s*b**u + 4/11 = 0 for b.
2/7, 1
Let t be ((-32)/6)/(2716/(-582)). What is c in -36/7*c - 16/7*c**2 - t = 0?
-2, -1/4
Let t = 15691 - 15648. Let d(z) be the first derivative of -30*z + t + 5/3*z**3 - 5/2*z**2. Factor d(j).
5*(j - 3)*(j + 2)
Let x(h) be the first derivative of -h**4/4 - 8*h**3/3 + 31*h**2/2 - 22*h - 2269. Find c, given that x(c) = 0.
-11, 1, 2
Let w = -91/162 + 122/81. Let u(y) be the first derivative of -y - w*y**3 - 1/30*y**5 - 7/24*y**4 + 11 - 17/12*y**2. Factor u(z).
-(z + 1)**2*(z + 2)*(z + 3)/6
Let j(r) = 184*r**3 + 3920*r**2 + 7913*r + 3977. Let w(o) = -22*o**3 - 490*o**2 - 989*o - 497. Let d(x) = 6*j(x) + 50*w(x). Find c, given that d(c) = 0.
-1, 247
Let t = 5442 - 5393. Let r(o) be the second derivative of 1/108*o**4 + 0 - 7/9*o**2 - 13/54*o**3 - t*o. Factor r(q).
(q - 14)*(q + 1)/9
Let d(f) = 28*f - 127 + 22*f + 16*f - 35*f + 472. Let k be d(-11). What is r in 4/5*r**2 + 2/5*r**5 - 2/5 - 2/5*r**k + 2/5*r - 4/5*r**3 = 0?
-1, 1
Determine y, given that 0*y + 9/5*y**3 - 2*y**2 + 1/5*y**4 + 0 = 0.
-10, 0, 1
Let b(m) = -12*m - 148. Let p be b(-12). Let t be (3 + -4)/(p/10). Determine h so that h + 0