
-2*r**2*(r + 24)/7
Let q(x) be the third derivative of -1/252*x**4 + 11/63*x**3 + 0 + 84*x**2 + 1/1260*x**6 + 0*x - 11/630*x**5. Factor q(h).
2*(h - 11)*(h - 1)*(h + 1)/21
Let z = -3279614/11 + 298148. Factor 46/11*a**2 + 0 + z*a**3 + 12/11*a.
2*a*(a + 3)*(7*a + 2)/11
Let z(m) be the third derivative of m**5/12 - 5*m**4/24 - 75*m**3 - 517*m**2. Factor z(g).
5*(g - 10)*(g + 9)
Let w = 228 - 231. Let f be (-9)/(-2) - w*4/(-72). Determine s, given that 4/3*s + f*s**3 + 1/3*s**5 + 4*s**2 + 0 + 2*s**4 = 0.
-2, -1, 0
Find j such that 324/7 + 207/7*j**2 + 15/7*j**4 - 414/7*j**3 + 960/7*j = 0.
-1, -2/5, 2, 27
Let b(l) be the first derivative of -5*l**4/4 - 35*l**3 - 315*l**2/2 + 425*l - 3832. Find j, given that b(j) = 0.
-17, -5, 1
Let f(v) be the second derivative of 0 + 19*v - 5/6*v**3 + 0*v**2 + 5/12*v**4. Let f(a) = 0. What is a?
0, 1
Let v = -257/41 + 2097/328. Let d(b) be the second derivative of 0 + 1/40*b**5 + 15*b + 1/4*b**3 + v*b**4 + 1/4*b**2. Factor d(c).
(c + 1)**3/2
Let x(b) = -b**3 - 5*b**2 + 5*b - 4. Let p be 3/(-18) - 385/66. Let u be x(p). Factor 4/5*i**u + 12/5*i - 16/5.
4*(i - 1)*(i + 4)/5
Let w(k) be the first derivative of -k**5/300 - 13*k**4/120 + 6*k**2 + 46. Let m(f) be the second derivative of w(f). Factor m(c).
-c*(c + 13)/5
Let z be 4 - ((-2 - 4) + 8). Let -36 + 27*i**2 - 22*i**2 - 4*i**z = 0. Calculate i.
-6, 6
Factor 1/2*l**5 - 35*l**4 + 36 - l**2 + 143/2*l - 72*l**3.
(l - 72)*(l - 1)*(l + 1)**3/2
Let h be (-264)/(-1782) - 874/14283. Find g such that 0*g**2 + 6/23*g**4 + h*g**5 + 0 + 4/23*g**3 + 0*g = 0.
-2, -1, 0
Let o(f) be the second derivative of -f**5/70 + 709*f**4/21 - 501260*f**3/21 - 1008200*f**2/7 + 6691*f. Factor o(w).
-2*(w - 710)**2*(w + 2)/7
Let z be (-291)/27 + 6/(-27). Let m = z - -15. Suppose 29 - m*s**2 - 29 = 0. Calculate s.
0
Let m = -1147 + 1724. Solve 128*v + 4*v**4 + 65 - 38*v**2 - m - 40*v**3 + 25*v**2 + 109*v**2 = 0 for v.
-2, 4
Suppose -2*l + 24 = -4*w, -20*l + 25*l + 5*w = 0. Find v, given that -192 - 95*v + 47*v + v**4 - 33*v**3 + 108*v**2 + 2*v**l = 0.
-1, 4
Let v(h) be the third derivative of h**6/1080 + h**5/36 - 50*h**3 + 63*h**2. Let g(s) be the first derivative of v(s). Factor g(w).
w*(w + 10)/3
Let w(u) be the first derivative of 2*u**3/21 - 12*u**2 - 170*u/7 + 1044. Determine z so that w(z) = 0.
-1, 85
Let i be ((-38)/(-665))/(16/200). Let b(q) be the first derivative of i*q**2 + 2/21*q**3 + 0*q - 22. Solve b(w) = 0.
-5, 0
Suppose 2*k = -13*k + 150. Suppose -37*c**2 - k*c**3 - 47*c**2 - 408*c + 376*c = 0. What is c?
-8, -2/5, 0
Let d(l) be the second derivative of l**7/1260 + l**6/120 + l**5/30 + l**4/18 - 31*l**2 + 65*l. Let p(y) be the first derivative of d(y). Factor p(u).
u*(u + 2)**3/6
Let t = -297363 + 6244715/21. Factor 0*s - t*s**3 - 2/21*s**4 + 0 - 1058/21*s**2.
-2*s**2*(s + 23)**2/21
Suppose -2*y = -426*i + 422*i + 16, 38 = 5*y + 3*i. Find g such that -11/2*g - 5*g**3 - 1/6*g**5 - 23/3*g**2 - 3/2 - 3/2*g**y = 0.
-3, -1
Let v(r) be the first derivative of 21 - 16/5*r**3 + 36/5*r**2 + 0*r - 11/10*r**4 - 2/25*r**5. Factor v(c).
-2*c*(c - 1)*(c + 6)**2/5
Let v(s) be the second derivative of -s**6/72 + s**5/12 + s**3/2 + 24*s. Let x(t) be the second derivative of v(t). Factor x(p).
-5*p*(p - 2)
Let h(c) be the third derivative of -c**5/135 + 767*c**4/27 + 2048*c**3/9 + 2*c**2 + 39*c + 7. Let h(o) = 0. What is o?
-2, 1536
Let m(z) be the first derivative of -z**3/9 - 3*z**2 + 21*z - 1412. Factor m(w).
-(w - 3)*(w + 21)/3
Suppose 0*f + 0*f**2 + 0 + 5/2*f**4 + 25*f**3 = 0. Calculate f.
-10, 0
Let u(t) be the third derivative of -17/10*t**4 + 0 - 867/5*t**3 - 1/150*t**5 + 8*t**2 + 9*t. Let u(n) = 0. What is n?
-51
Let p(x) be the third derivative of -x**6/420 + x**4/12 - 2*x**3/7 - 4*x**2 + 151*x - 1. Solve p(r) = 0.
-3, 1, 2
Let p(c) be the first derivative of c**5/210 + 17*c**4/42 + 289*c**3/21 + 89*c**2/2 + 2*c + 103. Let j(h) be the second derivative of p(h). Factor j(d).
2*(d + 17)**2/7
Let g = 89456 + -178911/2. Factor 5/2 - 2*y - g*y**2.
-(y - 1)*(y + 5)/2
Let p(l) = -8*l**3 - 19*l**2 + 2*l + 19. Let w(x) = -38*x**3 - 96*x**2 + 10*x + 96. Let y(b) = 14*p(b) - 3*w(b). Suppose y(v) = 0. What is v?
-11, -1, 1
Suppose -1065 = -137*j - 76*j. Solve -23/3*s**2 - 3/2*s**4 - 11/2*s - 3/2 - 1/6*s**j - 5*s**3 = 0.
-3, -1
Let v(d) = -8*d**3 + 2647*d**2 - 2080*d - 581. Let b(l) = -6*l**3 + 1324*l**2 - 1040*l - 290. Let a(u) = -11*b(u) + 6*v(u). Let a(w) = 0. Calculate w.
-74, -2/9, 1
Suppose 3312 = -514*o + 522*o. What is a in 192*a**2 - o*a**2 + 24*a + 202*a**2 + 4*a**3 = 0?
0, 2, 3
Suppose 0 = -18*f - 18*f + 105*f + 74*f. Let r(y) be the first derivative of -1/16*y**4 + f*y - 1/12*y**3 + 25 + 0*y**2. Factor r(x).
-x**2*(x + 1)/4
Let m(g) be the second derivative of 0 + 1/240*g**5 - 1/18*g**4 + 62*g + 1/8*g**3 + 3/4*g**2. Factor m(l).
(l - 6)*(l - 3)*(l + 1)/12
Let m(y) be the third derivative of 5/2016*y**8 - 105*y**2 - 1/63*y**7 + 5/144*y**6 + 0*y - 1/36*y**5 + 0 + 0*y**4 + 0*y**3. Find t such that m(t) = 0.
0, 1, 2
Let f(r) be the second derivative of r**7/21 - 2*r**6/3 + 39*r**5/10 - 37*r**4/3 + 68*r**3/3 - 24*r**2 - 4*r + 372. Factor f(k).
2*(k - 3)*(k - 2)**3*(k - 1)
Find r, given that -103*r**2 + 411/4 + 1/4*r**4 - 205/2*r + 205/2*r**3 = 0.
-411, -1, 1
Let f(k) be the second derivative of -k**7/84 + 23*k**6/60 - 93*k**5/40 + 49*k**4/24 + 47*k**3/6 - 18*k**2 + 1795*k - 2. Determine n so that f(n) = 0.
-1, 1, 4, 18
Let z = -24928/9 + 2770. Let q(p) be the first derivative of 1/3*p**2 + z*p**3 + 0*p + 21. Let q(m) = 0. What is m?
-1, 0
Let t = 43931/5 - 8786. Let u(w) be the first derivative of -6/5*w**2 + t*w**3 + 9/5*w - 12. What is b in u(b) = 0?
1, 3
Let l(a) = -39*a - 26. Let q(y) = -44*y - 26. Let i(v) = -4*l(v) + 3*q(v). Let p be i(-1). What is m in -3/4*m**3 - 1/2*m**p + m + 1/8*m**4 + 0 + 1/8*m**5 = 0?
-2, 0, 1, 2
Let m(g) be the first derivative of g**6/6 + 68*g**5/15 - 14*g**4/3 + 2*g**2 - 5*g + 51. Let r(a) be the second derivative of m(a). Factor r(n).
4*n*(n + 14)*(5*n - 2)
Let k be 144/21*126/135. Let x(l) be the first derivative of -k*l + 28/15*l**3 + 35 - 52/5*l**2. Factor x(p).
4*(p - 4)*(7*p + 2)/5
What is c in -20*c**3 - 4296*c**2 - 4*c**5 - 4290*c**2 + 8578*c**2 - 16*c**4 = 0?
-2, -1, 0
Suppose -223 + 1168 = -5*r. Let y = r + 1339/7. Factor 16/7*m + 12/7*m**2 - y.
4*(m + 2)*(3*m - 2)/7
Let l(m) be the third derivative of m**5/60 - 5*m**4/3 - 46*m**3 - 146*m**2 + 3*m. Determine b, given that l(b) = 0.
-6, 46
Let n be 1/12 + (-2506)/504. Let k = 470/63 + n. Let k + 12/7*c - 6/7*c**2 = 0. Calculate c.
-1, 3
Let s(o) be the second derivative of 25/12*o**4 + 0*o**2 + 1/4*o**5 - o + 0*o**3 + 6. What is k in s(k) = 0?
-5, 0
Let j(g) be the third derivative of g**8/168 + 22*g**7/105 + 27*g**6/10 + 182*g**5/15 - 539*g**4/12 - 686*g**3 - 3*g**2. Factor j(u).
2*(u - 2)*(u + 3)*(u + 7)**3
Suppose -33*c + 85*c = 104. Find v such that 11*v**3 - 21*v**3 - 26*v**3 + 12*v**5 - 15*v**2 - 8*v**5 - 5*v**c - 12*v**4 = 0.
-1, 0, 5
Let j(m) be the first derivative of 2*m**3/9 + 12*m**2 - 168*m - 10577. Determine k so that j(k) = 0.
-42, 6
Let b be 2 - 16/6 - -1. Let u = 151608 - 454820/3. Factor b*j**4 - 1/3*j**2 - u*j + 4/3*j**3 + 0.
j*(j - 1)*(j + 1)*(j + 4)/3
Let s(a) = -a + 10. Let x be s(7). Suppose -47*m**2 + 0 + 5*m**3 + 175*m - 15*m**2 + 245 - x*m**2 = 0. Calculate m.
-1, 7
Let q = -483969 - -483972. Factor 0*y + 0*y**2 + 0 - 4/5*y**q + 18/5*y**4.
2*y**3*(9*y - 2)/5
Let d(l) be the second derivative of -12825/8*l**5 - 275/3*l**3 + 2835*l**6 + 5975/12*l**4 + 171*l - 8505/4*l**7 + 0 + 10*l**2. Factor d(h).
-5*(7*h - 1)**2*(9*h - 2)**3/2
Let o(x) = -13*x**5 - 5*x**4 - 59*x**3 - 100*x**2 - 43*x. Let y(i) = -3*i**5 - i**4 - i**3 + i. Let s(c) = o(c) - 5*y(c). Determine k so that s(k) = 0.
-4, -1, 0, 6
Suppose 60 = 163*p - 151*p. Suppose -576*l + 1050 + 6510 + p*l**2 + 136*l + 3236 - 1116 = 0. What is l?
44
Suppose -4*j - 5*c = -2 - 1, -4*c = -4*j + 12. What is h in -8*h**3 + 2 + 44*h**5 - 6 - 19*h**5 - 4*h**4 + 8*h**j - 21*h**5 + 4*h = 0?
-1, 1
Let o(q) be the third derivative of -5/96*q**4 - 2 + 0*q**3 + 0*q + 7/80*q**5 - 18*q**2 - 1/120*q**6. Factor o(a).
-a*(a - 5)*(4*a - 1)/4
Let s be 52 - 4*(-1)/(-12)*3. Suppose 5*k - 327 = n, -n + s = 3*k - 150. Factor -k + 86 + z**2 - 6*z**