5)*(l + 4)
Let q = 48751 - 97501/2. Factor 2*n - 6 - q*n**4 + 9/2*n**2 + 0*n**3.
-(n - 3)*(n - 1)*(n + 2)**2/2
Solve 0 - 66*t**4 + 21*t - 102/5*t**2 - 9/5*t**5 - 528/5*t**3 = 0 for t.
-35, -1, 0, 1/3
Factor -4*j**3 - 4255/2*j - 529/4 - 737/4*j**2.
-(j + 23)**2*(16*j + 1)/4
Let q(s) be the second derivative of -1/2*s**6 - 4 + 0*s**2 + 4*s + 0*s**4 - 1/10*s**5 + 0*s**3. Let q(l) = 0. What is l?
-2/15, 0
Let m(x) be the second derivative of x**7/84 + 101*x**6/60 + 506*x**5/5 + 10043*x**4/3 + 196988*x**3/3 + 761332*x**2 + x - 1620. Solve m(y) = 0.
-22, -13
Let l(k) = 4*k**2 + 17*k - 5. Let p be l(-8). Let v = p + -112. Factor 6*a**v - 6*a + 10*a**3 - 19*a**3 + 9*a**2.
-3*a*(a - 2)*(a - 1)
Suppose 4*l - 16 = 0, -3*d - l = -4*l + 57. Let n be (-2)/((-14)/(-91) + d/13). Factor 3/2*m**3 + 4 - 1/2*m**4 + m**n - 6*m.
-(m - 2)**2*(m - 1)*(m + 2)/2
Let x(u) be the second derivative of -u**5/100 - 7*u**4/40 - u**3 - 128*u**2 + 281*u. Let f(d) be the first derivative of x(d). Let f(q) = 0. Calculate q.
-5, -2
Let s(z) = -z**2 - 5*z - 4. Let t be s(-3). Let c be ((-1479)/(-116))/(-51)*40*(-5)/10. Determine r so that 0 + 0*r**t + 0*r**4 + 1/5*r**3 - 1/5*r**c + 0*r = 0.
-1, 0, 1
Let k(p) be the third derivative of 0 + 1/480*p**6 + 0*p - 1/80*p**5 + 0*p**3 + 0*p**4 + 24*p**2. Factor k(w).
w**2*(w - 3)/4
Let -17*y**4 - 63*y + 13*y**4 + 171*y**3 + 503*y**3 + 201*y**2 + 48*y**5 + 427*y**4 - 35*y**3 = 0. Calculate y.
-7, -1, 0, 3/16
Let q(x) be the first derivative of -x**3/15 - 3*x**2/10 + 4*x/5 + 378. Find p such that q(p) = 0.
-4, 1
Suppose m = -4*z - 20, 5*m - 211 = 4*z - 239. Let k be -7 + m/((-40)/55). Factor -14/5*t**2 + 2*t**3 - 2/5*t**k + 0 + 6/5*t.
-2*t*(t - 3)*(t - 1)**2/5
Determine o so that 24601*o**2 - 12301*o**2 - 12300*o**2 + 2*o**5 + 38*o**4 - 84*o**3 = 0.
-21, 0, 2
Let a be (-1888)/(-140) + (-46)/161 + -7*1 + -6. Suppose a*b + 0 - 7/5*b**3 - 3/10*b**2 = 0. What is b?
-1/2, 0, 2/7
Let o(z) be the first derivative of -z**6/60 - 3*z**5/40 - z**4/24 + z**3/4 + z**2/2 + 25*z + 82. Let v(k) be the first derivative of o(k). Factor v(j).
-(j - 1)*(j + 1)**2*(j + 2)/2
Let h = -92 - -96. Suppose -3*q - 11 = -u, -2*q - h = -0. Factor -4 + 6*s - 4*s**3 + u*s + 4*s**2 - 7*s.
-4*(s - 1)**2*(s + 1)
Let c(z) = -82*z**2 - 2*z + 3. Let u be c(-2). Let p = -2245/7 - u. Suppose 0 - 3/7*q**5 + q**3 + 2/7*q**4 + p*q**2 + 0*q = 0. Calculate q.
-1, -1/3, 0, 2
Let w be (-128)/34976*(-1)/(-2). Let o = w + 14213/2186. Solve o*k**3 + 0 - 13/2*k**4 + 2*k**2 - 2*k**5 + 0*k = 0 for k.
-4, -1/4, 0, 1
Let u = 440 - 438. Let w be (-10)/75*7/((-7)/u). Factor -4/15*d**4 + w*d**2 + 2/15*d**5 - 2/15*d + 0*d**3 + 0.
2*d*(d - 1)**3*(d + 1)/15
Let x = -930848/45 - -103432/5. Let z be (-32)/18 - (-4)/2. Factor 0 + x*u**3 + 10/9*u**2 + 4/9*u + z*u**4.
2*u*(u + 1)**2*(u + 2)/9
Let c = -31297/15 - -2092. Let t = c + -26/5. Factor -t*i**2 + 0 + 1/3*i.
-i*(i - 1)/3
Suppose -2*z + 9 = -81. Let t = -33 + z. Determine f so that 12*f**4 - 48*f + 51*f**2 + 15*f**5 + 21*f**3 + 28*f**5 - 75*f**4 + t - 16*f**5 = 0.
-1, 2/3, 1
Let z(o) be the second derivative of -o**6/90 - o**5/10 - o**4/3 - 5*o**3/3 + 103*o. Let u(i) be the second derivative of z(i). What is l in u(l) = 0?
-2, -1
Let u(i) = -i**3 + 231*i**2 + 448*i - 3. Let r(o) = 4*o**3 - 694*o**2 - 1344*o + 10. Let s(c) = 6*r(c) + 20*u(c). Factor s(n).
4*n*(n + 2)*(n + 112)
Let y(m) be the first derivative of 50/3*m**3 - 1/2*m**4 + 0*m + 10 - 24*m**2. Suppose y(g) = 0. Calculate g.
0, 1, 24
Let s(q) = -1740*q - 20878. Let g be s(-12). Factor -4/9*h - 2/9 - 2/9*h**g.
-2*(h + 1)**2/9
Let k(m) = m - 3. Let w be k(5). Let y = -12874 + 12877. Determine b, given that b**y + 24*b - 17*b**w + b**3 - b**2 + b**3 = 0.
0, 2, 4
Let s(r) = -21*r**3 + 459*r**2 + 57*r - 405. Let o(i) = i**3 - 2*i**2 - 3*i - 1. Let b(k) = -18*o(k) - s(k). Factor b(g).
3*(g - 141)*(g - 1)*(g + 1)
Let y(l) be the third derivative of l**6/360 + 7*l**5/60 - 69*l**4/8 - 13225*l**3/18 - 3611*l**2. Let y(a) = 0. Calculate a.
-23, 25
Factor 30*i**4 + 2002*i + 88*i**4 - 115*i**4 - 3828*i**3 - 1221132 + 1826*i + 1221129*i**2.
3*(i - 638)**2*(i - 1)*(i + 1)
Let a(j) = -36*j**2 + 506*j + 137. Suppose -37*t + 121 = -26*t. Let s(c) = 12*c**2 - 169*c - 46. Let p(q) = t*s(q) + 4*a(q). Factor p(d).
-3*(d - 14)*(4*d + 1)
Factor -4/7*a**3 + 312/7*a**2 - 1196/7*a + 888/7.
-4*(a - 74)*(a - 3)*(a - 1)/7
Find l, given that -1281*l - 268694 - 3*l**2 + 267797 + 381*l = 0.
-299, -1
Let h(b) = -b**3 - 15*b**2 - 3*b - 20. Let r be h(-15). Find v, given that 7*v**2 - 2*v**2 + r*v + 3 - 18 - 15 = 0.
-6, 1
Let w(v) be the first derivative of 1/48*v**4 + 0*v**3 + 35 + 3/160*v**5 - 9*v + 1/240*v**6 + 0*v**2. Let n(u) be the first derivative of w(u). Factor n(g).
g**2*(g + 1)*(g + 2)/8
Let f = -300/451 + 3181348/4059. Let c = 784 - f. Suppose 4/9*s + 4/9*s**3 - c*s**2 + 0 = 0. What is s?
0, 1
Let d(q) be the third derivative of -q**6/1380 - 9*q**5/230 - 37*q**4/138 - 16*q**3/23 - 1387*q**2. Factor d(p).
-2*(p + 1)*(p + 2)*(p + 24)/23
Let g(k) be the third derivative of k**5/300 - 613*k**4/60 + 375769*k**3/30 + 7791*k**2. Determine f, given that g(f) = 0.
613
Suppose -11*g + 3*g + 6*g - 3*p = 3, 0 = 5*p + 5. Factor g + 6/5*b**2 + 2/5*b**3 + 4/5*b.
2*b*(b + 1)*(b + 2)/5
Factor -412/5 - 828/5*w - 4/5*w**3 - 84*w**2.
-4*(w + 1)**2*(w + 103)/5
Suppose -140/11 - 4/11*h**3 - 130/11*h**2 + 346/11*h = 0. Calculate h.
-35, 1/2, 2
Suppose 73*t + 288 = 77*t. Let d be (-564)/t + 9 + -1. Solve -1/2*l**2 + 0 + d*l**4 + 0*l**3 - 1/3*l = 0 for l.
-1, 0, 2
Suppose 0 = -x - 17*x + 57456. Determine a, given that -2 + x*a**2 + 2 - 3194*a**2 + 76*a = 0.
0, 38
Factor -8/7*u - 12/7*u**2 + 0 - 4/7*u**3.
-4*u*(u + 1)*(u + 2)/7
Suppose -3*x = 4*j - 55 + 5, 450*x = 445*x + 70. Factor 0 - 1/5*q**3 + 14/5*q**j - 13/5*q.
-q*(q - 13)*(q - 1)/5
Suppose 0 = -21*j + 63*j - 27*j. Let n(s) be the second derivative of 1/20*s**4 + 1/2*s**3 + j - 15*s + 0*s**2. Factor n(r).
3*r*(r + 5)/5
Let a(f) be the third derivative of -2/735*f**7 + 0 - 32/21*f**3 - 4/105*f**6 + 8/21*f**4 + 2*f**2 + 1/588*f**8 + 8/105*f**5 + 57*f. Solve a(i) = 0.
-2, 1, 2
Factor 2/3 - 5/6*a + 1/6*a**2.
(a - 4)*(a - 1)/6
Suppose 0 = -29*z + 5*z + 48. Suppose -2*q + z*p = 0, -7 - 25 = -3*q - 5*p. Solve -1/3*d - 2/3 + d**2 - 1/3*d**q + 1/3*d**3 = 0.
-1, 1, 2
Let w(f) be the first derivative of -2*f**5/35 - 2*f**4/7 - 2*f**3/21 + 6*f**2/7 - 516. Factor w(s).
-2*s*(s - 1)*(s + 2)*(s + 3)/7
Let i(a) be the second derivative of 1/60*a**6 - 1/24*a**4 - 46*a + 1/6*a**3 - 3/40*a**5 + 0 + 1/84*a**7 + 0*a**2. Solve i(j) = 0.
-2, -1, 0, 1
Suppose 26/5*s**3 + 6/5*s**2 - 74/5*s - 2/5*s**4 - 52/5 = 0. What is s?
-1, 2, 13
Suppose 352/3*f - 85/3*f**2 - 1/3*f**3 - 356/3 = 0. What is f?
-89, 2
Let w = 82/87 + 16642/435. Let z be -15 + (91/5 - -8). Solve -z*p + 4/5*p**2 + w = 0.
7
Let t = -12 - -32. Factor -781*z**3 + 397*z**3 - t*z + 20 - 15*z**2 + 394*z**3 + 5*z**4.
5*(z - 1)**2*(z + 2)**2
Let q be 10/30 + (-7)/(-6). Suppose -24*j = -9*j - 30. Factor -5*z - q + 9/2*z**j + 2*z**3.
(z - 1)*(z + 3)*(4*z + 1)/2
Factor -45*o + 16/5*o**4 - 1/5*o**5 + 0 + 48*o**2 - 94/5*o**3.
-o*(o - 5)**2*(o - 3)**2/5
Let h(a) = a**2 - 2*a - 10. Let u be h(-4). Let v be u/(-63) + 102/(-27) + 6. Find g such that -g**3 - 3*g**3 + g**3 + v*g**3 + 4*g - 3*g**2 = 0.
-4, 0, 1
Let y(u) be the third derivative of -3/4*u**4 + 4/3*u**3 - 1/60*u**6 + u + 0 - 101*u**2 + 1/5*u**5. Solve y(p) = 0 for p.
1, 4
Let u be (-1496)/4488 + -2*17/(-75). Let v(f) be the first derivative of -3*f**3 + 3 + u*f**5 + 0*f - 12/5*f**2 - 9/10*f**4. Factor v(p).
3*p*(p - 8)*(p + 1)**2/5
Factor 4820*m - 3*m**3 - 2414*m - 2409*m + 1 - 1 + 6*m**2.
-3*m*(m - 1)**2
Find v such that -1262 + 1262 - 2324*v**2 + 1340*v**2 - 1662*v**2 - 2*v**3 = 0.
-1323, 0
Let c(u) be the second derivative of u**6/180 - 3*u**5/20 - 47*u**4/8 + 126*u**3 + 5292*u**2 - 2564*u. Solve c(m) = 0 for m.
-12, 21
Let w(y) = 691*y + 15896. Let j be w(-23). Determine o so that 4/3*o**2 - 2/3*o**j - 2/3*o + 0 = 0.
0, 1
Let v = -115 + 139. Let -11*x**4 + 5*x + 32*x**4 + v*x**4 + 5*x - 35*x**5 + 25*x**3 - 45*x**2 = 0. What is x?
-1, 0, 2/7, 1
Let l(m) be the third derivative of m**6/120 + 2*m**5/15 + 7*m**4/24 - 1411*m**2. What is t in l(t) = 0?
-7, -1, 0
Suppose -48 = -56*x + 40*x. Let o(j