*j**5 + 3*j**3 - 3*j**5 = 0.
-1, -1/2, 0, 1
Let b(h) = -h**3 - 3. Let a(g) be the first derivative of g**4/4 - 11*g**3/3 + 3*g**2/2 + 15*g + 100. Let i(r) = -a(r) - 5*b(r). Factor i(s).
s*(s + 3)*(4*s - 1)
Let y(n) be the second derivative of n**6/10 + 9*n**5/20 - 9*n**4/4 - 27*n**3/2 - 3810*n. Factor y(o).
3*o*(o - 3)*(o + 3)**2
Suppose -620*c = -649 - 1648 + 1057. Factor -80/7*g + 72/7 + 26/7*g**c - 2/7*g**3.
-2*(g - 9)*(g - 2)**2/7
Let y be -2*(-4)/60*(-20)/(-14). Let w(d) be the second derivative of 1/140*d**5 + 5/84*d**4 + y*d**3 + 0 - 16*d + 2/7*d**2. Factor w(r).
(r + 1)*(r + 2)**2/7
Let p(w) be the third derivative of -3*w**8/280 + 19*w**7/525 + 7*w**6/300 - 19*w**5/150 + w**4/30 - 235*w**2 - 3*w + 1. Find j, given that p(j) = 0.
-1, 0, 1/9, 1, 2
Let z(s) = s**5 + 19*s**4 - 16*s**3 - 16*s**2 + 6. Let v(p) = 15*p**5 + 265*p**4 - 225*p**3 - 220*p**2 + 85. Let c(u) = 6*v(u) - 85*z(u). Factor c(y).
5*y**2*(y - 4)*(y - 2)*(y + 1)
Suppose 0 = -0*z - 5*z - 3*q - 8, -2*q = 2*z. Let l(n) = n**3 + 5*n**2 + 3*n + 1. Let j be l(z). Factor 4*o**4 - 5*o**4 - o**4 + 3*o**5 - o**j.
2*o**4*(o - 1)
Suppose 2*r + 5*m - 33 = 0, 2*m - 9 = -4*r + 17. Let j(s) be the third derivative of 3*s**2 - 1/300*s**r + 0 + 1/750*s**5 + 0*s - 2/75*s**3. Factor j(i).
2*(i - 2)*(i + 1)/25
Let v(m) be the third derivative of -3*m**8/112 + 23*m**7/420 - m**6/48 - m**2 - 65*m - 7. Factor v(w).
-w**3*(w - 1)*(18*w - 5)/2
Let l = 12521/2 + -6259. Let s(q) be the second derivative of -l*q**3 - 3*q**2 + 24*q + 0 + 0*q**4 + 3/20*q**5. Solve s(d) = 0.
-1, 2
Let s(x) be the third derivative of -7/12*x**5 + 2/21*x**7 + 0*x**3 + 0*x + 0 + 5/12*x**4 - 52*x**2 + 1/6*x**6. Suppose s(k) = 0. Calculate k.
-2, 0, 1/2
Let z(q) be the first derivative of -2*q**5/25 - 3*q**4/5 - 50. Factor z(r).
-2*r**3*(r + 6)/5
Let a(k) be the third derivative of -k**5/20 + 33*k**4/2 - 131*k**3/2 - 62*k**2 - 3*k. Factor a(z).
-3*(z - 131)*(z - 1)
Suppose 2249 + 2250 - 4535 + 20*s**2 + 2*s**3 + 14*s = 0. What is s?
-9, -2, 1
Let s(i) = -8*i + 4. Let t be s(-2). Suppose -4*b + 0*b - 4*n = -t, b - 4*n = 0. Factor -13*d**4 - 21*d**b + 38*d**4 - 24*d**2 - 4*d**3.
4*d**2*(d - 3)*(d + 2)
Let h(b) be the second derivative of 34/3*b**3 + 16*b**2 + 1/5*b**5 + 10/3*b**4 + 6 - 2*b. Factor h(f).
4*(f + 1)**2*(f + 8)
Let n(v) = -v**3 - 37*v**2 + 303*v + 35. Let k be n(7). What is q in -5/2*q**2 - 3*q - 1/2*q**3 + k = 0?
-3, -2, 0
Let t(r) = r**3 + 343*r**2 + 356*r - 7. Let f(b) = 2*b - 1. Let o(k) = 7*f(k) - t(k). What is a in o(a) = 0?
-342, -1, 0
Let g = 462620 - 424684705/918. Let y = g - -2/459. Let -2*l**3 - y - l + 7/2*l**2 = 0. What is l?
-1/4, 1
Suppose -195 = -63*j - 69. Factor 0 - 10/7*b**j - 6/7*b - 2/7*b**3 + 2/7*b**4.
2*b*(b - 3)*(b + 1)**2/7
Let x(n) = -n**2 - 5*n + 2. Let h be (-17)/170*12 - (-32)/10. Let l(i) = 2 - 6*i - 2*i**2 + 0 + 0*i. Let f(k) = h*l(k) - 3*x(k). Factor f(c).
-(c - 2)*(c - 1)
Let l be (-2748)/252 - -11 - (-1 + -6 + 7). Let 4/7*z**4 + 6/7*z - 4/21*z**2 - 16/21*z**3 - l*z**5 - 8/21 = 0. What is z?
-1, 1, 4
Let k = -41246 - -41251. Suppose r**4 - r**2 + 1/2*r**k + 3/2*r + 0 - 2*r**3 = 0. Calculate r.
-3, -1, 0, 1
Suppose 0 - 16731/2*j + 11717/4*j**3 - 443/4*j**4 - 78897/4*j**2 + 5/4*j**5 = 0. What is j?
-2/5, 0, 11, 39
Factor 4*c**2 - 1901*c - 6 + 5*c**2 + 1954*c.
(c + 6)*(9*c - 1)
Let b(f) be the first derivative of 5*f**3/12 - 40*f**2 - 165*f - 1217. Suppose b(u) = 0. Calculate u.
-2, 66
Let c be (4 - 198/48) + 49/168. Let x(n) be the second derivative of 8*n + 1/45*n**6 - 7/9*n**3 + 2/3*n**2 + 1/2*n**4 - c*n**5 + 0. Find s such that x(s) = 0.
1, 2
Let w(z) = -z**2 - 3*z + 10. Let b(f) = -17 - 1663*f**2 + 8*f - 12 + 1666*f**2. Let r(q) = 6*b(q) + 17*w(q). Factor r(n).
(n - 4)*(n + 1)
Let t(x) be the first derivative of x**6/30 + 3*x**5/25 - 8*x**4/5 + 4*x**3 - 16*x**2/5 - 298. Factor t(v).
v*(v - 2)**2*(v - 1)*(v + 8)/5
Factor -12*y + 0 + 1/2*y**3 - 7*y**2 + 1/2*y**4.
y*(y - 4)*(y + 2)*(y + 3)/2
Let u(t) be the third derivative of -t**7/630 - 23*t**6/60 + 139*t**5/180 - 1546*t**2. Factor u(j).
-j**2*(j - 1)*(j + 139)/3
Factor -264/5 - 2/5*f**2 + 56/5*f.
-2*(f - 22)*(f - 6)/5
Let l be (-60)/(-18)*(-48)/40. Let w be l/(-10) - ((-111)/(-15) - 7). What is n in w*n**2 + 0 + 4/15*n**3 - 2/15*n**5 + 0*n + 2/15*n**4 = 0?
-1, 0, 2
Let w(k) be the third derivative of -k**5/150 - 31*k**4/60 + 42*k**3 - 8*k**2 - 61*k. Suppose w(i) = 0. What is i?
-45, 14
Find m, given that 22*m**2 - 62/3*m**3 + 62/3*m - 2/3*m**4 - 64/3 = 0.
-32, -1, 1
Suppose 4*h - 2*a = 428, -3*h + 3*a = -0*a - 315. Factor -28 - 233*f - 4*f**2 + h*f + 156*f.
-4*(f - 7)*(f - 1)
Let c = -785/18 - -505/18. Let r = -1373/90 - c. Solve r*t - 1/10*t**2 - 1/5 = 0 for t.
1, 2
Let u be (186/(-2387))/((-1083)/112252) - (0 - (-4)/(-38)). Suppose 80/11*j + 40/11*j**3 + u*j**2 + 24/11 + 6/11*j**4 = 0. What is j?
-3, -2, -1, -2/3
Let r(k) be the first derivative of 5/6*k**6 + 5 + 0*k + 10/3*k**3 - 2*k**5 + 0*k**2 - 5/4*k**4. Factor r(u).
5*u**2*(u - 2)*(u - 1)*(u + 1)
Let r = 220593 + -220591. Solve 10/17*q**r - 16/17*q - 24/17 + 2/17*q**3 = 0.
-6, -1, 2
Let u(y) be the second derivative of y**7/189 + y**6/45 - y**5/15 - 14*y**4/27 - 8*y**3/9 + 949*y. Suppose u(d) = 0. What is d?
-2, 0, 3
Let s(o) = -o**2 - 13*o - 26. Let z be s(-10). Let j be (3/15)/((z/(-5))/(-2)). Let j*m**2 - 1/2 - m + m**3 = 0. Calculate m.
-1, -1/2, 1
Let u = 615/26 + -1637/78. Solve u*o**4 - 2/3*o - 2/3*o**5 - 4*o**3 + 0 + 8/3*o**2 = 0 for o.
0, 1
Let f = -5196/115 - -1076/23. Let 4/5*x**2 + f*x + 0 - 8/5*x**3 - 4/5*x**4 = 0. What is x?
-2, -1, 0, 1
Find y such that 761/2*y - 1142/3 + 1/6*y**2 = 0.
-2284, 1
Let b = 33/43027 - -128916/215135. Factor 123/5*f + 126/5 - b*f**2.
-3*(f - 42)*(f + 1)/5
Let s(c) be the first derivative of 1922*c**5/25 + 744*c**4/5 + 384*c**3/5 - 7839. Suppose s(p) = 0. What is p?
-24/31, 0
Suppose -3/4*r**3 + 297/4*r - 45/2*r**2 + 0 = 0. Calculate r.
-33, 0, 3
Let l(j) be the first derivative of -j**6/2 + 9*j**5 - 93*j**4/4 - 63*j**3 + 48*j**2 + 144*j - 3741. Suppose l(g) = 0. What is g?
-1, 1, 4, 12
Let h(o) = o**2 + 3*o. Let p(g) = 2*g**3 + 10*g**2 + 11*g + 7. Let w be p(-3). Let r(n) = n**2 + 16. Let q(t) = w*h(t) - 5*r(t). Suppose q(l) = 0. What is l?
-8, 2
Factor 1964/21*d - 16/3 - 10/3*d**2.
-2*(d - 28)*(35*d - 2)/21
Let o(n) be the first derivative of 2*n**3/51 - 16*n**2/17 - 2*n - 1139. Solve o(u) = 0.
-1, 17
Determine i so that -58 + 16*i**5 - 181*i**3 - 172*i**3 + 456*i**4 - 715*i**2 - 1003*i**2 + 570*i**2 - 495*i + 82*i**3 = 0.
-29, -1, -1/4, 2
Let m = -3017726/21 - -431105/3. Factor m*q**3 + 18/7 + 3/7*q - 12/7*q**2.
3*(q - 3)*(q - 2)*(q + 1)/7
Let y(x) be the first derivative of 44*x**2 + 4/3*x**3 + 484*x + 29. Let y(j) = 0. Calculate j.
-11
Let o(a) be the first derivative of 1/10*a**3 - 45 + 0*a + 3/40*a**4 + 1/20*a**2 + 1/50*a**5. Suppose o(d) = 0. What is d?
-1, 0
Suppose -2537*o = -527*o - 4174 + 3040 - 4896. Factor 36/7 + 3/7*q**o + 9/7*q**2 - 48/7*q.
3*(q - 2)*(q - 1)*(q + 6)/7
Suppose -59*c + 70*c + 107*c = 0. Let f(u) be the third derivative of 9*u**2 - 1/12*u**5 + 25/24*u**4 + c + 0*u + 5*u**3. What is o in f(o) = 0?
-1, 6
Find z such that 80/3 - 26/3*z**2 - 52/3*z - 2/3*z**3 = 0.
-10, -4, 1
Suppose -524*r**2 + 17420*r - 62124 + 45224 + 7*r**3 - 3*r**3 = 0. What is r?
1, 65
Let j(f) be the second derivative of -f**5/180 - 23*f**4/72 - 11*f**3/9 + 20*f**2 - 2*f + 11. Let o(t) be the first derivative of j(t). Factor o(z).
-(z + 1)*(z + 22)/3
Let t(k) be the third derivative of 14*k**5/45 - 37*k**4/8 - k**3 - 21*k**2 + 122*k. Suppose t(d) = 0. What is d?
-3/56, 6
Let k(u) be the third derivative of -u**6/360 - 13*u**5/36 + 91*u**4/18 + 490*u**3/9 - u**2 + 685. Factor k(a).
-(a - 7)*(a + 2)*(a + 70)/3
Let q be -2*18 - (-4 - (-4)/2). Let d = -31 - q. Find n, given that 8*n**3 - 2 - 13*n**d - 30*n**2 + 2 = 0.
-6, 0
Let r be 1*(-1)/3*-1. Suppose -1957 - 2037 = -3529*f + 3064. Factor r*l**f + l + 2/3.
(l + 1)*(l + 2)/3
Let f(z) = -125*z**2 - 5095*z + 5550. Let b(h) = -9*h**2 - 364*h + 397. Let t(j) = -55*b(j) + 4*f(j). Factor t(m).
-5*(m - 1)*(m + 73)
Let -975/2 + 429/2*w**3 - 2583/2*w**2 + 3135/2*w - 3*w**4 = 0. Calculate w.
1/2, 1, 5, 65
Let b(m) = -6*m**3 - 2*m**2 + 338*m + 989. Let c(x) = x**3 - 57*x - 165. Let g(t) = -12