d m, given that -24/5*m + 0 + 178/5*m**3 - 128/5*m**2 - 26/5*m**4 = 0.
-2/13, 0, 1, 6
Suppose -4*j + 100 = 4*z, -86 = -4*z + 5*j - 2*j. Suppose 16*a = -z*a + 78. Let t + 0 - 1/2*t**3 - 1/2*t**5 + 3/2*t**4 - 3/2*t**a = 0. Calculate t.
-1, 0, 1, 2
Let t(m) be the third derivative of -1/4*m**5 - 4*m**2 + 0*m + 3/8*m**4 + 15 + m**3. Determine w so that t(w) = 0.
-2/5, 1
Suppose 8*a + 598 + 434 = 0. Let p = a - -129. Factor p*m**2 + 1 + 2*m**2 - 4*m - 14 - 3.
2*(m - 4)*(m + 2)
Let q(d) be the second derivative of d**5/10 + 27*d**4/2 + 230*d**3/3 - 312*d**2 - 2*d - 221. Solve q(p) = 0.
-78, -4, 1
Determine h, given that -479*h**3 - 148*h**2 + 140*h**3 + 576*h - 21 + 48*h**4 - 299 - 2*h**5 + 129*h**3 + 56*h**3 = 0.
-2, 1, 4, 20
Suppose 4*f + 1410 - 1466 = -10*y, -3*y = -4*f + 30. Factor -15*b + 20 - 15/2*b**y + 5/2*b**3.
5*(b - 4)*(b - 1)*(b + 2)/2
Suppose 2*y + 2*f - 34 = 0, 5*y - 21 = 1828*f - 1829*f. Find h, given that 1/2*h**2 - y - 1/2*h = 0.
-1, 2
Let a be 1 - 0 - (-28 - (0 - 2)). Factor -15*n**4 + 2 - a + 75*n**3 + n**5 + 120*n - 145*n**2 - 11.
(n - 6)**2*(n - 1)**3
Let x(d) be the first derivative of -2*d**5/75 - 26*d**4/15 - 194*d**3/45 + 10*d**2 - 1033. Suppose x(l) = 0. What is l?
-50, -3, 0, 1
Let r(w) be the first derivative of w**6/15 - 4*w**5/5 - 11*w**4/10 + 325. Factor r(n).
2*n**3*(n - 11)*(n + 1)/5
Let c(y) be the second derivative of -y**6/30 - 41*y**5/5 - 1681*y**4/3 - 2*y - 485. What is p in c(p) = 0?
-82, 0
Let m be ((-126)/105)/(3/(-140)). Factor -50*h**3 + 6*h - 51*h**3 + 47*h**2 - 8 + m*h**3.
-(h - 1)*(5*h + 2)*(9*h - 4)
Let f(c) = 2*c**2 + 10*c - 5. Let x(z) be the third derivative of z**5/20 + 5*z**4/8 - 7*z**3/6 + 152*z**2. Let n(g) = -7*f(g) + 5*x(g). Factor n(q).
q*(q + 5)
Solve 129/5*d**3 + 0 - 528/5*d + 9/5*d**4 - 1542/5*d**2 = 0.
-22, -1/3, 0, 8
Let i be (-4 - (-76)/12) + 4/(-12). Suppose -66 - 34*a - 49*a + 20*a - 12*a**i + 15*a**2 = 0. What is a?
-1, 22
What is v in 544/7*v**2 - 2/7*v**5 + 0 + 0*v + 236/7*v**3 - 22/7*v**4 = 0?
-17, -2, 0, 8
Suppose 29*p - 11 = -6*p + 59. Let r(g) be the first derivative of 15 - 4*g**p + 2/3*g**3 + 8*g. Find o, given that r(o) = 0.
2
Suppose -8*z - 5 = -21. Factor 6*l**z + 75 - 3*l**3 - 75 - 3*l.
-3*l*(l - 1)**2
Let y(w) be the second derivative of w**4/20 - 349*w**3/30 - 117*w**2/5 + 3668*w. Factor y(c).
(c - 117)*(3*c + 2)/5
Let h(v) be the second derivative of -8/5*v**4 - 74*v + 21/5*v**2 - 3/20*v**5 + 23/10*v**3 + 0. Let h(k) = 0. Calculate k.
-7, -2/5, 1
Suppose -74*f + 272 = 62*f. Factor 8/3*p + 7/3 + 1/3*p**f.
(p + 1)*(p + 7)/3
Let u(j) be the first derivative of -j**4/36 - 347*j**3/27 + 700*j**2/9 - 156*j + 1901. Factor u(a).
-(a - 2)**2*(a + 351)/9
Let h(f) be the third derivative of -f**5/240 - 31*f**4/32 - 45*f**3/4 + 5*f**2 - 299. Determine j, given that h(j) = 0.
-90, -3
Let d(g) be the second derivative of -7*g**5/80 + 107*g**4/24 - 5*g**3 - 13*g - 11. Factor d(x).
-x*(x - 30)*(7*x - 4)/4
Let b = 24545/39 - 8173/13. Factor 0 - b*n - 16/9*n**2 + 2/3*n**3.
2*n*(n - 3)*(3*n + 1)/9
Let n(s) be the first derivative of s**5/20 + 9*s**4/2 + 68*s**3/3 - 484. Factor n(d).
d**2*(d + 4)*(d + 68)/4
Factor -668/5*u - 134 + 2/5*u**2.
2*(u - 335)*(u + 1)/5
Suppose 0 - 2/7*p**4 + 10*p**3 + 2250/7*p - 750/7*p**2 = 0. What is p?
0, 5, 15
Let u = -61161/7 - -8738. Let o(z) be the second derivative of -1/14*z**3 - 3/140*z**5 + 0 - 4/21*z**4 + 11*z + u*z**2. Factor o(s).
-(s + 1)*(s + 5)*(3*s - 2)/7
Let d(a) be the first derivative of a**6/120 - 3*a**5/40 - a**4/2 - 68*a**3/3 + 116. Let t(l) be the third derivative of d(l). Factor t(u).
3*(u - 4)*(u + 1)
Suppose -10 = -9*l + 8*l - f, -3*l - 4*f = -37. Let m(s) be the first derivative of 20/3*s + 27 + 5/9*s**l + 25/6*s**2. Factor m(i).
5*(i + 1)*(i + 4)/3
Let c(p) be the second derivative of p**6/120 + p**5/5 + 15*p**4/16 - 27*p**3/4 - 1887*p. Factor c(j).
j*(j - 2)*(j + 9)**2/4
Let m = -2/51729 - -34496/258645. Let d(r) be the third derivative of -m*r**3 - 1/60*r**5 - 10*r + 7/600*r**6 + 0 - 2/15*r**4 + r**2. What is b in d(b) = 0?
-1, -2/7, 2
Let u be (4/(-14))/(6/(-42)). Factor -2*m + 9*m**3 - 3*m**4 - 21*m**u + 6*m**3 + 11*m.
-3*m*(m - 3)*(m - 1)**2
Let n be 36/(-27) + 1 + 17/33. Suppose 10*d + 20 = 20*d. Find a such that 4/11*a**d - n*a**3 + 0 - 2/11*a = 0.
0, 1
Let h(m) be the second derivative of 65*m**7/42 + 25*m**6/2 + 151*m**5/4 + 195*m**4/4 + 40*m**3/3 - 30*m**2 + 2753*m. Solve h(k) = 0 for k.
-2, -1, 3/13
Let i(z) be the second derivative of -4*z**7/231 - 76*z**6/165 - 177*z**5/110 + 118*z**4/33 - 64*z**3/33 + 2*z - 2392. Find u, given that i(u) = 0.
-16, -4, 0, 1/2
Find t such that 70/3*t**4 - 250*t + 2/3*t**5 + 748/3*t**3 - 750 + 2180/3*t**2 = 0.
-15, -5, -1, 1
Let i be (-496)/620*15/(-4). Let t(o) be the first derivative of 6*o**2 + 8*o - 4 + 4/3*o**i. Determine s so that t(s) = 0.
-2, -1
Let t(d) be the third derivative of d**7/735 + 2*d**6/105 + 13*d**5/210 + d**4/14 - 25*d**2 - 5*d. Factor t(h).
2*h*(h + 1)**2*(h + 6)/7
Let x be -36 + 2/(2/3). Let g be (x/(-12))/((-4)/(-32)). Factor g*k + 4*k**2 + 12*k - 30*k.
4*k*(k + 1)
Let u be (-1024)/(-3072) + (-50)/(-12). Solve 13/2*s + u + 2*s**2 = 0 for s.
-9/4, -1
Suppose 0 = 2*a + d, a + 4*d + 11 = 4. Suppose -4*x - f = 20 - 26, 4*x - 4*f - 16 = 0. Find b such that -21*b**2 + a - 5 + 0*b**2 + 27*b - x = 0.
2/7, 1
Let q(r) be the first derivative of r**6 - 244*r**5/5 + 527*r**4/2 - 1688*r**3/3 + 580*r**2 - 288*r + 3925. Solve q(m) = 0 for m.
2/3, 1, 2, 36
Suppose 10*v = -19 - 21. Let d be -3*v/(-12) - -3. Factor -20*x**2 - d*x - 9*x + 8*x**3 + 20 + 6*x - 3*x**3.
5*(x - 4)*(x - 1)*(x + 1)
Let n(z) be the second derivative of z**4/30 + 17*z**3/15 - 22*z**2 + 179*z. Let n(x) = 0. What is x?
-22, 5
Let k(y) = 2*y**3 - 45*y**2 - 368*y. Let w(m) = -3*m**3 + 88*m**2 + 738*m. Let i(r) = 10*k(r) + 6*w(r). Factor i(v).
2*v*(v + 17)*(v + 22)
Factor 7936/11 + 488/11*k**2 - 3952/11*k + 1/11*k**3.
(k - 4)**2*(k + 496)/11
Suppose -k = -f - 1, 19*f - 16*f = -k - 11. Let c be (f/(-7)*-7)/((-3)/2). What is d in 2/9*d - 5/9*d**4 + 0 + 1/9*d**3 + 5/9*d**c - 1/3*d**5 = 0?
-1, -2/3, 0, 1
Let m = -511 + 543. Let -10*n**2 + 2*n**3 - 6*n**2 + 11 + m*n - 11 + 0*n**3 = 0. What is n?
0, 4
Let n(l) be the first derivative of 0*l - 2/27*l**3 + 4/9*l**2 - 43. Determine s so that n(s) = 0.
0, 4
Let w(p) be the first derivative of -2*p**6/3 + 184*p**5/15 + 128*p**4 - 2296*p**3/9 + 98*p**2 - 4635. Determine y so that w(y) = 0.
-7, 0, 1/3, 1, 21
Let o(q) be the first derivative of -1/12*q**3 - 17/4*q + 9/4*q**2 + 123. Determine g, given that o(g) = 0.
1, 17
Suppose -24 + 45 = 2*y + y, -s - 25 = -4*y. Find q, given that -23160*q**s - 1456/3*q + 31734*q**4 + 19568/3*q**2 - 15129*q**5 + 32/3 = 0.
2/41, 2/3
Determine d so that -801/2*d**3 - 219/2*d**2 - 465/2*d**4 - 63/2*d**5 + 0 + 90*d = 0.
-5, -12/7, -1, 0, 1/3
Let i(l) = -l**3 - 47*l**2 - 2*l - 91. Let z be i(-47). Factor 8*b**4 - 15*b**3 + 2*b + z*b**3 + 6*b - 20*b**2 + 16*b**3.
4*b*(b - 1)*(b + 2)*(2*b - 1)
Let c be (16 - 8) + 6/(-4)*2. Suppose z + 16*b - 18*b = 6, b = c*z - 12. Let 0 + 2/7*j**3 - 2/7*j**4 + 2/7*j**z - 2/7*j = 0. What is j?
-1, 0, 1
Let z(b) be the first derivative of b**4/6 + 53*b**3/9 - 14*b**2 - 925. Let z(t) = 0. What is t?
-28, 0, 3/2
Factor -6584*v**2 - 6*v**3 - 6*v**3 - 383172*v - 32369*v + 41263*v - 531018*v - 600608.
-4*(v + 274)**2*(3*v + 2)
Let i(d) be the first derivative of d**5/4 - 35*d**4/12 + 25*d**3/3 + 62*d - 12. Let t(a) be the first derivative of i(a). Factor t(h).
5*h*(h - 5)*(h - 2)
Let s(v) = 10*v - 246. Let n be s(27). Suppose n = 11*b - 20. What is q in 8/3*q**3 - 8/3*q - 14/3*q**2 + 2*q**b + 8/3 = 0?
-2, -1, 2/3, 1
Let h(z) be the second derivative of z**8/10080 + z**7/1260 + 59*z**4/12 + 25*z. Let j(v) be the third derivative of h(v). Factor j(f).
2*f**2*(f + 3)/3
Let a(l) = 23*l**3 + 469*l**2 + 432*l - 21. Let g(b) = 11*b**3 + 235*b**2 + 216*b - 12. Let u(j) = 4*a(j) - 7*g(j). Determine r, given that u(r) = 0.
-72/5, -1, 0
Let p be (7 + 200/(-24))*(-15)/4. Factor -b**5 + 22*b**p + 3*b**4 - 11*b**5 - 4*b**5 - 9*b**5.
-3*b**4*(b - 1)
Let c(b) be the second derivative of -82*b + 0*b**2 - 1/3*b**4 + 6*b**3 + 0. Find k such that c(k) = 0.
0, 9
Factor 1/4*a**2 - 11/2*a + 21/4.
(a - 21)*(a - 1)/4
Suppose 251*a + 1/5*a**2 