35/48*s**5 + 125/96*s**4 + 0*s. Factor t(m).
5*m*(m + 1)*(m + 5)**2/4
Let t(p) be the third derivative of -p**8/4480 + p**7/1120 + p**6/960 - p**5/160 - 31*p**3/3 - 140*p**2. Let y(j) be the first derivative of t(j). Factor y(s).
-3*s*(s - 2)*(s - 1)*(s + 1)/8
Let v(i) be the second derivative of -5/9*i**4 + 1/15*i**5 - 26/9*i**3 - 14/3*i**2 - 253*i + 0. Factor v(h).
4*(h - 7)*(h + 1)**2/3
Let c(r) be the second derivative of 3*r**4 - 1478*r**3/3 - 1496*r**2 - 680*r. Factor c(b).
4*(b + 1)*(9*b - 748)
Let j(c) be the second derivative of -c**6/40 + 261*c**5/80 - 1935*c**4/16 + 1849*c**3/8 - 1244*c. Find b such that j(b) = 0.
0, 1, 43
Let k(t) be the second derivative of 1/100*t**6 - 151*t + 1/10*t**2 - 1/12*t**3 + 0 + 1/40*t**5 - 1/24*t**4. Suppose k(w) = 0. Calculate w.
-2, -1, 1/3, 1
Suppose 0 = 4*b + 39 + 73. Let s(i) = 36*i**2 + 712*i - 56. Let d(t) = 4*t**2 + 79*t - 6. Let y(r) = b*d(r) + 3*s(r). Factor y(o).
-4*o*(o + 19)
Let z(x) be the first derivative of -2*x**5/55 + 3*x**4/11 - 16*x**3/33 - 6*x**2/11 + 18*x/11 + 1177. Let z(t) = 0. Calculate t.
-1, 1, 3
Suppose -71/3*l - 4/3*l**2 + 1/3*l**3 - 22 = 0. What is l?
-6, -1, 11
Let x(l) be the second derivative of -16*l**2 + 0 - 1/10*l**5 + 10/3*l**3 + 7/6*l**4 + 90*l. Factor x(r).
-2*(r - 8)*(r - 1)*(r + 2)
Suppose -256 - 68 = 4*v. Let c = 89 + v. Factor c*r**3 - 2*r**3 - 5*r**4 - 6*r - 11*r**4 + 13*r**4 + 3*r**2.
-3*r*(r - 2)*(r - 1)*(r + 1)
Let r be ((-20034)/(-798) - 12/114) + -21. Suppose 258*q**2 + 57*q**r - 15/2*q**5 + 513/2*q**3 + 0 + 66*q = 0. What is q?
-2, -1, -2/5, 0, 11
Let p = -271 - -176. Let y = p + 133. Factor y*l**2 + 43*l**2 + 2*l**3 - 82*l**2.
l**2*(2*l - 1)
Suppose -6*p - 36 = 3*v, -470*p - 5*v - 93 = -471*p. Factor 216/7*l**p + 4/7*l**4 - 864*l + 448 + 2692/7*l**2.
4*(l - 1)**2*(l + 28)**2/7
Let g = -2627/92 - -24379/828. Factor -16/3*d - g - 22/9*d**2.
-2*(d + 2)*(11*d + 2)/9
Suppose -366*m - 72 - 3*m**5 + 6*m**5 - 4*m**4 + 42*m**2 - 27*m**3 - 2*m**4 + 426*m = 0. Calculate m.
-2, 1, 2, 3
Suppose -r = -2*s - 35, 7*s + 105 = 3*r + 2*s. Let n = 45 - r. Factor 1 + 9 + 2*v**3 - n*v**2 - 3*v + v.
2*(v - 5)*(v - 1)*(v + 1)
Factor -3*a**2 + 3/4*a**5 - 9/2*a**4 + 27/4*a**3 + 0 + 0*a.
3*a**2*(a - 4)*(a - 1)**2/4
Let f = -1737475/21 - -82737. Find s, given that 2/7 + 8/21*s + f*s**2 = 0.
-3, -1
Let q(r) be the second derivative of -120/7*r**3 + 88/7*r**2 - 24/7*r**5 - r + 247/21*r**4 - 113 + 6/35*r**6. Solve q(u) = 0 for u.
2/3, 1, 11
Let d(m) be the second derivative of -m**5/10 + 4*m**4/3 - 20*m**3/3 + 16*m**2 + 203*m. Determine s, given that d(s) = 0.
2, 4
Suppose 136/5 - 26/5*j**2 - 2/5*j**4 + 144/5*j - 36/5*j**3 = 0. Calculate j.
-17, -2, -1, 2
Suppose -3*r = 6, 3*u + 4*r + 8 = -0*u. Suppose 6*h - 12 = -u. Suppose -20*o + 1 - 8 - 7*o**2 - 1 - 5*o**h = 0. Calculate o.
-1, -2/3
Suppose 3*q = 8*q + 3*k - 14205, 5 = -k. Solve 339 + 14823*z**2 - 94 - q*z**3 + 108*z**4 + 262 + 4889*z**2 - 521*z**2 - 6162*z = 0 for z.
1/6, 13
Let u(a) be the third derivative of -4*a**2 + 1/30*a**5 + 1/420*a**7 + 0*a + 0 - 1/8*a**4 + 1/40*a**6 - 5/12*a**3. Factor u(o).
(o - 1)*(o + 1)**2*(o + 5)/2
Let f = 1357/4 - 10855/32. Let h(a) be the second derivative of 1/8*a**3 - 6*a + 0 - f*a**4 - 3/16*a**2. Solve h(s) = 0 for s.
1
Let a be 10/30*((-27)/18 - -6). Factor -a*z**3 - 21/8*z**5 + 0*z + 0 + 6*z**4 + 0*z**2.
-3*z**3*(z - 2)*(7*z - 2)/8
Let o(n) be the third derivative of -n**6/200 + 13*n**5/100 + n**4 - 70*n**3 + 294*n**2. Let o(m) = 0. What is m?
-7, 10
Let s(o) be the first derivative of -o**6/15 + 46*o**5 - 16703*o**4/2 + 98842*o**3/3 - 49192*o**2 + 163592*o/5 - 423. Factor s(n).
-2*(n - 286)**2*(n - 1)**3/5
Let l(t) be the second derivative of -4/3*t**3 + 1/18*t**4 + 1 + 0*t**2 + 34*t. Factor l(q).
2*q*(q - 12)/3
Let m(x) be the first derivative of x**4/2 - 430*x**3/9 + 352*x**2/3 - 280*x/3 - 9918. Suppose m(d) = 0. Calculate d.
2/3, 1, 70
Let t be (345/(-2))/3*((-2844)/60 + 47). Determine s, given that -155/4*s**4 + 6*s + 7/2*s**3 + 25/4*s**5 + 0 + t*s**2 = 0.
-2/5, 0, 1, 6
Factor -627 - 4*f**3 + 2*f**3 - 3549 - 140*f**2 + 1076*f + 4*f**3 + 388*f.
2*(f - 58)*(f - 6)**2
Let y be (54 + -30)*3/4. Factor y*q**3 + 16*q**2 - 7*q - 9*q + 12*q + 2*q.
2*q*(q + 1)*(9*q - 1)
Let t(h) be the third derivative of -h**8/1680 + 8*h**7/75 - 1007*h**6/200 - 1083*h**5/50 + 1306*h**2. Let t(l) = 0. What is l?
-2, 0, 57
Solve -596/3*w + 1168 + 2/3*w**2 = 0.
6, 292
Let c(y) be the third derivative of y**6/600 - 41*y**5/300 + 2*y**4 + 672*y**3/5 + 1240*y**2. Let c(j) = 0. What is j?
-7, 24
Let f = -1530215/406 + 3769. Let c = f - -829/6902. Factor -c*o**2 - 12/17*o - 10/17.
-2*(o + 1)*(o + 5)/17
Let a = 1270702/21 - 423558/7. Factor 0 - 2/3*m**5 - 2/3*m + 0*m**4 + 0*m**2 + a*m**3.
-2*m*(m - 1)**2*(m + 1)**2/3
Let d be (12278/(-10524)*(-27)/42*-1)/(6/(-16)). Factor 2/5*j**d + 36/5*j + 34/5.
2*(j + 1)*(j + 17)/5
Let p = 27186632/15 + -1812442. Find c such that 4/3*c**2 + 6/5*c + p*c**3 + 0 = 0.
-9, -1, 0
Let r(h) be the first derivative of 2*h**3/15 + 414*h**2/5 - 1664*h/5 - 2129. Solve r(t) = 0.
-416, 2
Solve -88/7*g**2 + 1/7*g**5 + 30/7*g**4 + 450/7 - 615/7*g + 222/7*g**3 = 0 for g.
-15, -2, 1
Let -50 - 72*v - 93*v - 46*v**2 + 4574*v**3 - 4577*v**3 = 0. Calculate v.
-10, -5, -1/3
Let u = -3543 + 5261. Let -39600*g**3 + 80 - 122*g + 8725*g**5 + 8498*g**4 + 8150*g**5 - u*g + 14360*g**2 + 1627*g**4 = 0. Calculate g.
-2, 2/15, 1
Let z(t) be the first derivative of t**5/160 + 5*t**4/64 + 3*t**3/8 - t**2 + 5*t - 30. Let w(q) be the second derivative of z(q). Let w(u) = 0. Calculate u.
-3, -2
Let f(a) be the third derivative of -a**6/540 + 32*a**5/45 + a**4/108 - 64*a**3/9 - a**2 + 4550. Factor f(z).
-2*(z - 192)*(z - 1)*(z + 1)/9
Let h be (-6*4/16)/(((-1023)/88)/31). Factor 2/7*q**h - 72/7 + 10*q**2 - 24/7*q + 24/7*q**3.
2*(q - 1)*(q + 1)*(q + 6)**2/7
Let k = -17 + 21. Suppose 0 = k*n - n. Solve -4*h - 4*h**2 + 2 + n*h - 12 + 9 = 0.
-1/2
Suppose 6 = 3*s, -13*s = 4*x - 11*s + 24. Let a be -3 + 14 + x + -2. Suppose 0*v - 1/12*v**a + 0 = 0. Calculate v.
0
Factor -2*n + 40*n**4 + 2*n - 201*n**3 - 22*n**4 - 15*n**4.
3*n**3*(n - 67)
Let b(c) be the second derivative of c**4/42 - 93*c**3/7 + 554*c**2/7 + 1533*c. Factor b(x).
2*(x - 277)*(x - 2)/7
Let v be -1 - 9/(-6) - 2/4. Let z be 4/6 + 2188/12 + v. Let -185*q**3 + 2*q**5 - z*q**3 + 372*q**3 + 6*q**4 = 0. What is q?
-2, -1, 0
Let d(g) be the second derivative of -g**7/210 + g**6/90 + g**5/15 - 65*g**3/6 - 18*g - 3. Let h(b) be the second derivative of d(b). Let h(c) = 0. Calculate c.
-1, 0, 2
Find z such that 0*z**4 + 16/5*z**2 - 4/5*z**5 + 36/5*z**3 - 48/5*z + 0 = 0.
-2, 0, 1, 3
Suppose -g = 2*i - 5 - 4, -4*i - 12 = -4*g. Factor -16*a + 15*a**2 - i*a - 7*a - 8*a + 18.
3*(a - 1)*(5*a - 6)
Let y(o) = 2*o**5 - o**3. Let p(m) = 6*m**5 + 31*m**4 - 28*m**3 - m**2 + 2*m. Let b(g) = p(g) - 10*y(g). Solve b(x) = 0.
-2/7, 0, 1/2, 1
Let o = -14317/15 - -4774/5. Let t(k) be the second derivative of 1/105*k**6 + 3/14*k**4 + k + 0 - 1/14*k**5 - o*k**3 + 2/7*k**2. Factor t(z).
2*(z - 2)*(z - 1)**3/7
Let o(n) be the first derivative of 2*n**6/21 + 4*n**5/7 - 24*n**4/7 + 16*n**3/21 + 64*n**2/7 + 2700. Determine u, given that o(u) = 0.
-8, -1, 0, 2
Let l(c) = -c**3 + 42*c**2 - 155*c + 123. Let r be l(38). Suppose -a = r*a. Suppose a*n + 0 - 4/7*n**2 - 2/7*n**3 = 0. What is n?
-2, 0
Let f(d) be the second derivative of 3/2*d**3 + 85 - 1/8*d**4 - 2*d + 21/4*d**2. Factor f(v).
-3*(v - 7)*(v + 1)/2
Suppose 0 = -5*o - 4*q + 72, 12*q - 8*q = -2*o + 24. Suppose o*k = 326 - 294. Factor 4/7*n - 12/7 + 1/7*n**k.
(n - 2)*(n + 6)/7
Let f(s) be the first derivative of s**6/16 - 27*s**5/40 + 39*s**4/32 + 45*s**3/8 - 75*s**2/8 + 751. Determine p so that f(p) = 0.
-2, 0, 1, 5
Let d = 7299 + -29195/4. Let u(a) be the third derivative of -9/20*a**5 + 1/4*a**4 + 0*a - 3/70*a**7 + 0 + 0*a**3 - 34*a**2 + d*a**6. Let u(i) = 0. Calculate i.
0, 1/3, 1, 2
Let c(p) be the first derivative of 2*p**3/3 + 33*p**2/10 + 9*p/5 - 1349. Factor c(y).
(y + 3)*(10*y + 3)/5
Let n(u) = -19*u - 74. Let b be n(-4). Factor -10 - 87*g - 76*g**2 + 11*g**b + 12*g.
-5*(g + 1)*(13*g + 2)
Determine i, given that 867/2*i**3 + 126 - 2136*i + 18003/2*i**2 = 0.
-21, 2/17
Let z(b) be the first derivative of -b**6/4 + 3*b**5/5 + 45*b**4/8