t i be m(-6). Let 4/3*c**i - 4 - 8/3*c = 0. Calculate c.
-1, 3
Let r be 24/210*(-90)/204. Let b = 83/714 - r. Find x, given that -b*x**2 + 1/3 - 1/6*x = 0.
-2, 1
Let a be (-2)/(-5) - (-1368)/(-45). Let p be 6/(-4)*40/a. Factor 10*q + 10*q + 348*q**p - 343*q**2 + 15.
5*(q + 1)*(q + 3)
Suppose 192 - 717 = -15*y. Factor -34 - h**2 + 25*h - y - 32 + 77.
-(h - 24)*(h - 1)
Suppose 2410 - 112*d**4 - 5220 - 1160*d**2 + 916*d + 2546 - 4*d**5 + 624*d**3 = 0. Calculate d.
-33, 1, 2
Let k be (-27)/(-14) - (-27)/(-45)*95/(-798). Factor 3/4*w**k - 3*w**3 + 3*w - 3/4.
-3*(w - 1)*(w + 1)*(4*w - 1)/4
Suppose 0 = -r - 5*l + 370 - 395, -4*r - 10 = 5*l. Let d(v) be the third derivative of 0*v - 19*v**2 - 5/6*v**4 - 1/12*v**r + 0 - 5/2*v**3. Solve d(z) = 0.
-3, -1
Let m(h) be the first derivative of -3721/2*h**2 + 61/3*h**3 - 118 - 1/12*h**4 + 226981/3*h. Factor m(o).
-(o - 61)**3/3
Factor -x**2 + 0*x**3 - 2/3*x + 1/3*x**4 + 0.
x*(x - 2)*(x + 1)**2/3
Let g(a) be the first derivative of a**3/8 - 21*a**2/8 + 1132. Let g(f) = 0. What is f?
0, 14
Let x(j) be the second derivative of -j**6/120 - 29*j**5/4 - 28033*j**4/16 + 145*j**3/6 + 21025*j**2/2 + 803*j. Determine b, given that x(b) = 0.
-290, -1, 1
Let b(o) be the second derivative of o**6/480 - o**5/80 - o**4/6 - o**3/2 + 50*o**2 - 83*o. Let c(i) be the first derivative of b(i). Solve c(a) = 0.
-2, -1, 6
Let r(l) = -131*l + 526. Let m be r(4). Let g(c) be the second derivative of 10*c**m + 5/12*c**4 + 0 - 10/3*c**3 + 10*c. Suppose g(s) = 0. What is s?
2
Let p be -962*((-150)/20 - -8). Let c = 483 + p. Find t, given that -3/4*t**c + 3*t - 3 = 0.
2
Let x(z) be the second derivative of -z**5/40 - 61*z**4/8 + 187*z**3/3 + 10*z - 280. Suppose x(m) = 0. Calculate m.
-187, 0, 4
Let n be 6/(4 + -5 - 1) + 57. Let o be (-4)/(-18)*n/24. Factor 1/8*h**3 - 1/2 - o*h + 1/8*h**2.
(h - 2)*(h + 1)*(h + 2)/8
Let t = 1848 + -1848. Let j(y) be the second derivative of -1/5*y**5 + 1/3*y**3 - 11*y + 1/21*y**7 + 0 + t*y**6 + 0*y**2 + 0*y**4. Factor j(f).
2*f*(f - 1)**2*(f + 1)**2
Let w(t) be the third derivative of 1/3*t**4 + 0*t**7 - 1/12*t**6 + 0*t**5 + 0*t**3 - 2*t**2 + 0 - 23*t + 1/168*t**8. Solve w(z) = 0 for z.
-2, -1, 0, 1, 2
Let y(h) = -195*h**2 - 3*h + 9. Let k be y(3). Let r be 2/(-13) - 3*610/k. Factor 2/9*f**2 - r*f + 0.
2*f*(f - 4)/9
Suppose 5*d = 381 - 71. What is k in 27*k**2 - 3*k**4 + 24*k**3 - d*k**2 + 14*k**2 = 0?
0, 1, 7
Let w(f) be the third derivative of -f**7/525 + f**6/30 - 9*f**5/50 + 3*f**4/10 + 47*f**2 + 10*f. Factor w(x).
-2*x*(x - 6)*(x - 3)*(x - 1)/5
Let a be ((-186)/(-10) + 2 + 1)*58890/94224. Find s, given that 1/8*s**4 - a*s - 27/8*s**2 + 81/2 + 3/4*s**3 = 0.
-6, 3
Let h(o) be the second derivative of o**4/4 - 1843*o**3 + 10189947*o**2/2 - 7255*o. Factor h(m).
3*(m - 1843)**2
Determine l, given that 186/7*l + 45/7 + 57/7*l**2 = 0.
-3, -5/19
Factor -2/13*a**3 + 0 - 40/13*a + 42/13*a**2.
-2*a*(a - 20)*(a - 1)/13
Solve -2/9*w**5 - 16/9*w**3 - 4/3*w**2 + 0 + 2*w + 4/3*w**4 = 0 for w.
-1, 0, 1, 3
Let p(d) be the third derivative of d**5/105 - 59*d**4/14 + 352*d**3/21 + 3*d**2 + 1. Solve p(o) = 0.
1, 176
Let o(z) = z**2 + 12*z + 25. Let c be o(-12). Let f = c - 23. Let -40*m**2 - 40*m**f + 36 + 77*m**2 + 3*m = 0. What is m?
-3, 4
Let y(b) be the second derivative of -b**7/70 + b**6/10 - b**5/4 + b**4/4 - 87*b**2/2 + 25*b. Let v(m) be the first derivative of y(m). Factor v(u).
-3*u*(u - 2)*(u - 1)**2
Let v be 12/(-26) - (9/(648/(-32)) + 1061/(-468)). Suppose -3/8*a**2 + v + 3/8*a = 0. What is a?
-2, 3
Suppose -14*c + 15*c = 4. Suppose -16*r + 14*r + c = 0. Let -8*b**2 + 30*b + 2*b**2 + b**r - 40 = 0. Calculate b.
2, 4
Let g(t) be the first derivative of t**5/80 - 15*t**4/32 + 7*t**3/4 + 45*t**2/2 + 47. Let u(c) be the second derivative of g(c). Determine v so that u(v) = 0.
1, 14
What is a in -25*a**3 + 24*a + 16 + 4 - 35*a**2 - 1067*a**4 + 1066*a**4 + a**5 + 16 = 0?
-3, -2, -1, 1, 6
Factor 43*a**2 + 388*a + 428*a - 333*a**2 - 5*a**3 - 1687 - 1193 + 1059*a.
-5*(a - 3)**2*(a + 64)
Let 36*i**3 + 4*i**4 + 88*i**3 + 1546*i**2 + 207*i + 208 - 6352 - 1999*i - 674*i**2 = 0. What is i?
-16, -2, 3
Let g = -73 - -77. Let h(o) = -2*o**2 + 11*o + 1. Let t be h(g). Suppose 5*f + t*f**3 - 7*f**3 - 14*f**3 + 10*f**2 - 7*f**3 = 0. What is f?
-1/3, 0, 1
Let q(u) be the third derivative of -u**8/168 - 4*u**7/15 - 19*u**6/5 - 96*u**5/5 + 2271*u**2 - 1. Factor q(o).
-2*o**2*(o + 6)**2*(o + 16)
Let o(d) be the first derivative of d**8/11760 + d**7/1960 + d**6/840 + d**5/840 - 13*d**3/3 + 37. Let s(f) be the third derivative of o(f). Factor s(w).
w*(w + 1)**3/7
Let u(h) be the first derivative of 5*h**4/4 + 200*h**3/3 + 985*h**2/2 - 1190*h + 4907. Factor u(s).
5*(s - 1)*(s + 7)*(s + 34)
Suppose -5*q + 2*q + 339 = 0. Let t = q - 109. Suppose -647 + 24*c**3 + 3*c**t + 647 = 0. Calculate c.
-8, 0
Determine v so that 1350*v + 1/5*v**4 - 10125 + 0*v**2 - 6*v**3 = 0.
-15, 15
Factor 11/7*j**3 + 1450/7*j + 136 + 509/7*j**2.
(j + 1)*(j + 2)*(11*j + 476)/7
Let a(k) = 3*k**3 - 63*k**2 + 126*k + 3. Let c be a(2). Let v(f) be the first derivative of -3/2*f**2 + 1/3*f**3 + 2*f + c. Find m such that v(m) = 0.
1, 2
Let v = 22 + -17. Suppose 2*j + 108 = v*j. Determine c, given that -3*c**3 - 20*c**2 - 10 - j*c + 2*c**2 - 11 - 3 = 0.
-2
Suppose 6330*k - 6347*k + 34 = 0. Let o(x) be the first derivative of 5/6*x**3 + 5/2*x**k + 11 + 5/2*x. Find a such that o(a) = 0.
-1
Let c(p) be the first derivative of -6 + 1/40*p**5 + 0*p**2 - 23/3*p**3 + 0*p**4 - 1/240*p**6 + 0*p. Let x(b) be the third derivative of c(b). Factor x(s).
-3*s*(s - 2)/2
Let b = 2402 - 60034/25. Let x = -6/25 + b. Solve 1/5*c**4 + 0*c + 0 - 1/5*c**3 - x*c**2 = 0 for c.
-1, 0, 2
Let -1/6*a**5 + 0 - 45/2*a + 11/3*a**4 - 41*a**2 - 44/3*a**3 = 0. Calculate a.
-1, 0, 9, 15
Let l(q) = 21 - 2*q**2 + 0*q**2 - 7 + 3. Let u be l(0). Solve -10 - 30*g**2 + u*g - 15*g**2 - 5*g**4 + 25*g**3 + 18*g = 0 for g.
1, 2
Let z be (128/(-14))/(-2) + (-42)/(-98). Suppose l = -z*q - 16, 2*l = q + 2*q + 20. Determine n, given that 0*n**3 + 0*n**2 + 3/5*n**l + 0*n + 0 = 0.
0
Let n be 4272/7680*16 + 1*(-2)/4. Let 3/5*w**3 + 147/5*w + 0 + n*w**2 = 0. What is w?
-7, 0
Let l be ((-8)/3)/2*(-89)/3560. Let z(h) be the third derivative of 1/3*h**4 - h**2 + l*h**5 + 0*h + 0 + h**3. Factor z(i).
2*(i + 1)*(i + 3)
Let t(p) be the second derivative of -p**7/26460 + p**6/840 - 2*p**5/315 + 17*p**4/6 - 129*p. Let k(b) be the third derivative of t(b). Factor k(m).
-2*(m - 8)*(m - 1)/21
Let u(g) be the third derivative of -g**8/6720 + 13*g**7/6720 - g**6/96 - 83*g**5/60 + 86*g**2. Let y(o) be the third derivative of u(o). Factor y(r).
-3*(r - 2)*(4*r - 5)/4
Let w be 78/117 - 1*8/(-6). Solve 5*x**4 + 265*x**3 - 6*x**2 - 245*x**3 - 8*x**2 - 46*x**w = 0 for x.
-6, 0, 2
Let u = 8405 + -8398. Let h(o) be the second derivative of -2/15*o**3 + 1/10*o**5 - 1/10*o**2 + 12*o + 2/75*o**6 + 0 - 1/60*o**4 - 4/105*o**u. Factor h(c).
-(c - 1)**2*(2*c + 1)**3/5
Let 0*s - 1/4*s**2 + 4 = 0. What is s?
-4, 4
Let g(j) be the first derivative of 32/3*j**3 + 176 + 12/5*j**5 + 0*j + 13*j**4 - 24*j**2. Find b, given that g(b) = 0.
-3, -2, 0, 2/3
Suppose 4*v - 2*u - u = 135, -25 = 5*u. Factor -40*o**3 - 193*o + 35*o**2 + 163*o + v*o**2 + 5*o**4.
5*o*(o - 6)*(o - 1)**2
Let a(z) be the third derivative of -z**6/240 - 2*z**5/15 + z**4/48 + 4*z**3/3 - 1435*z**2. Factor a(k).
-(k - 1)*(k + 1)*(k + 16)/2
Factor -12*y**3 + 39*y - 243*y - 69 + 320*y**2 - 35.
-4*(y - 26)*(y - 1)*(3*y + 1)
Factor 272/5*v**3 - 15210 - 2/5*v**4 + 10608*v - 10028/5*v**2.
-2*(v - 65)**2*(v - 3)**2/5
Let l(u) = 3*u**2 + 38*u + 48. Let o be l(-14). Determine z, given that -60*z + 0*z**3 + 4*z**3 + 23381*z**2 - o - 23333*z**2 = 0.
-13, -1, 2
Let n(l) = -123*l**4 + 291*l**3 + 171*l**2 + 21*l + 21. Let x(y) = -12*y**4 + 29*y**3 + 17*y**2 + 2*y + 2. Let d(a) = 2*n(a) - 21*x(a). What is r in d(r) = 0?
-1/2, 0, 5
Factor 12/11*g**2 + 10/11*g + 2/11*g**3 + 0.
2*g*(g + 1)*(g + 5)/11
Let m(o) = -o + 6. Let k be m(-9). Suppose k = -2*p + 5*p. Let z(h) = -2*h**2 - 8*h + 5. Let d(f) = f**2 + 4*f - 2. Let y(v) = p*d(v) + 2*z(v). Factor y(u).
u*(u + 4)
Let d(l) be the third derivative of -3/100*l**5 - 1/100*l**6 + 2/5*l**3 - 41*l**2 + 0 + 0*l + 1/10*l**4 + 1/350*l**7. Factor d(m).
3*(m - 2)**2