+ 57*q - 11. Let f(y) = -6*l(y) + 11*o(y). Factor f(n).
-n*(n - 12)*(n - 1)
Let h(p) be the second derivative of -5/7*p**3 - 3 + 11/21*p**2 + 10*p + 2/63*p**4. Determine o so that h(o) = 0.
1/4, 11
Let p(c) be the third derivative of 1/84*c**4 + 3*c**2 + 2/21*c**3 - 1/420*c**6 - 1/70*c**5 + 0 - 4*c + 1/735*c**7. Determine g, given that p(g) = 0.
-1, 1, 2
Let h be (-2)/(-4)*(-1 + -1)*-5. Suppose 5*m**h - 15*m**4 - 8 - 35*m - 10*m**3 + 40*m + 30*m**2 - 7 = 0. What is m?
-1, 1, 3
Factor 0*q + 1/2*q**4 + 0 + 14*q**3 + 26*q**2.
q**2*(q + 2)*(q + 26)/2
Let -15/4*c**2 + 2 - 11/4*c**3 + 9/2*c = 0. Calculate c.
-2, -4/11, 1
Let p(n) be the second derivative of n**6/540 + n**5/180 - 4*n**3/3 + n**2 - 13*n + 3. Let u(x) be the second derivative of p(x). Find m, given that u(m) = 0.
-1, 0
Suppose y = -4*i - i + 19, -5*i = 4*y - 31. Let b(h) = -3*h**2 + 9*h - 26. Let k(m) = -5*m**2 + 8*m - 26. Let u(w) = y*k(w) - 6*b(w). Factor u(n).
-2*(n - 2)*(n + 13)
Let a = -3407/129 - -1150/43. Determine i, given that 4 + 7/3*i + a*i**2 = 0.
-4, -3
Suppose x - 2*s + 7*s = -23, 5*x + s - 5 = 0. Determine l so that 6*l**2 - 91*l + 2*l**4 + 89*l + 0*l**2 - x*l**3 - 4*l**3 = 0.
0, 1
Let l(j) = 11*j + 119. Let k be l(-10). Determine r so that 16*r**4 + 2*r**2 + 3*r**5 - 6*r**2 - 4*r**4 - 2*r**5 - k*r**4 = 0.
-2, 0, 1
Suppose h - 728 = -27*h. Factor 76*k + 4*k**2 + 67*k - 2*k**2 + h - 171*k.
2*(k - 13)*(k - 1)
Let i be (-3)/(-18*170/(-2312)*(-6)/9). Factor -16/5*d - 1/5*d**3 + i*d**2 + 0.
-d*(d - 16)*(d - 1)/5
Suppose 27*s = 43*s - 32. Factor -2325*h + 162077 - 211*h + 14*h**3 + 293548 - 9*h**3 + 675*h**s + 32911*h.
5*(h + 45)**3
Suppose -40*y + 83 + 61 = 24. Let h(q) be the second derivative of -1/6*q**2 + 0 - 18*q + 1/36*q**y + 1/72*q**4. Factor h(c).
(c - 1)*(c + 2)/6
Let w be 123/20 - ((-524)/655 + (-7)/(-10)). What is k in -20*k**3 - 205/4*k + 110*k**2 + w = 0?
1/4, 5
Let u(s) = 12*s - 38. Let b be u(4). Suppose -5*k**2 + 14*k**3 - 25*k - 2*k**2 - 3*k**2 + 11*k**3 + b = 0. What is k?
-1, 2/5, 1
Let v(f) = 2*f. Let j be v(1). Let w be 32 - (13888/279 + -18). Factor 0*d - 4/9*d**j + 0 + w*d**3.
2*d**2*(d - 2)/9
Let p be 52/(-182) - (-34)/(-112)*-3. Let t(g) be the second derivative of 5/48*g**4 - 5/12*g**3 + 5*g + p*g**2 + 0. Find x, given that t(x) = 0.
1
Suppose 0 = 3*u - 9, m = 9*u - 4*u - 13. Let g(h) = -907*h + 10884. Let z be g(12). Factor -1/3*r + z - 8/3*r**m.
-r*(8*r + 1)/3
Suppose -3*v = -l - 92, v = -8*l + 5*l + 34. Let p = -28 + v. Find y such that 2 + 8*y**2 + 0*y**2 + 2*y**2 - 5*y**5 - 7*y + 16*y - 4*y**p - 12*y**4 = 0.
-1, -2/5, 1
Factor 5/3*d**5 + 2285/3*d**2 + 0 + 2275/3*d**4 + 0*d - 4565/3*d**3.
5*d**2*(d - 1)**2*(d + 457)/3
Let d(m) be the third derivative of -m**5/240 + 147*m**4/32 - 439*m**3/12 + 255*m**2 - 8*m - 2. What is l in d(l) = 0?
2, 439
Suppose -7*p - 18 = -13*p. Let w be (-800)/192*((-8)/p)/2. Suppose -w - 4/3*j**2 + 5*j + 1/9*j**3 = 0. Calculate j.
2, 5
Factor 0 + 73441/4*w + 271/2*w**2 + 1/4*w**3.
w*(w + 271)**2/4
Let j(a) = 68*a**3 - 190*a**2 + 100*a + 22. Let x(y) = 23*y**3 - 63*y**2 + 33*y + 7. Let d = -221 + 235. Let g(n) = d*x(n) - 5*j(n). Factor g(k).
-2*(k - 3)*(k - 1)*(9*k + 2)
Let s(d) be the third derivative of -24*d**4 - 1/40*d**6 + 0*d - 10 - 144*d**3 - 13/10*d**5 + 8*d**2. Find t, given that s(t) = 0.
-12, -2
Factor 312/5*v + 632/5 - 2/5*v**2.
-2*(v - 158)*(v + 2)/5
Let b be (1 + 0/11)/((-2)/(-4)). Let n(x) be the second derivative of -b*x**3 + 0*x**2 - 3/4*x**5 + 0 - 9*x + 1/10*x**6 + 2*x**4. Solve n(u) = 0.
0, 1, 2
Let i = 5/102266 + 306773/511330. Determine q so that -99/5*q + i*q**2 - 102/5 = 0.
-1, 34
Let z(h) = -2*h**3 - 1780*h**2 - 396052*h + 2. Let n(o) = -4*o**3 - 3560*o**2 - 792105*o + 5. Let y(a) = 2*n(a) - 5*z(a). Factor y(l).
2*l*(l + 445)**2
Determine s, given that -189/2*s - 381/4 + 189/2*s**3 + 96*s**2 - 3/4*s**4 = 0.
-1, 1, 127
Let g be 12/(-21*(-10)/345). Factor 27/7 - 90/7*m**3 + 27/7*m**4 + g*m**2 - 99/7*m - 3/7*m**5.
-3*(m - 3)**2*(m - 1)**3/7
Let a be (-4 + 1)*(-2 + 24). Let l be 16 + -22 + a/(-9). Determine d, given that 0*d + 2*d**4 + 4/3*d**3 - 8/3*d**2 + 2/3 - l*d**5 = 0.
-1, -1/2, 1
Let w be (-18)/33*(-66)/12. Let h(z) be the second derivative of 11/5*z**5 - 14/3*z**w + 2/3*z**4 + 4*z**2 + 0 - 8/21*z**7 + 21*z - 8/15*z**6. Solve h(j) = 0.
-2, -1, 1/2, 1
Let x(k) be the third derivative of -k**7/1260 - k**6/5 - 19*k**5/24 - 71*k**4/72 - 3381*k**2. Factor x(f).
-f*(f + 1)**2*(f + 142)/6
Let h = 24 - 11. Suppose -h*u = -17*u + 204. Factor -39*f - 6 + 3*f**2 + u*f + 15.
3*(f + 1)*(f + 3)
Suppose -4*m - 5*k = -49, 4*m = 4*k - 3 + 7. Suppose -5 = -m*b + 7. Factor -9 - 4*i + 5*i**2 - 3 - i**4 + 4*i**b + 8*i.
-(i - 3)*(i - 1)*(i + 2)**2
Let r(q) = -2*q**3 - 2*q**2 + 2*q. Let o(d) = 9*d**3 + 21*d + 90. Let m(n) = -o(n) - 6*r(n). Find l such that m(l) = 0.
-5, -2, 3
Let k = 209 + -200. Let u be (k/(-12))/((-2)/8). Let -30/23*l**2 + 2/23*l**u - 250/23 + 150/23*l = 0. Calculate l.
5
Let n be 6 + -4 - 1/1. Suppose -27 = -4*r + 5*l, r = 3*r - 5*l - n. Factor -r*y**2 + 12 + 11*y**2 + 10*y + 0.
-2*(y - 6)*(y + 1)
Factor 200 - 4/3*v**2 - 292/3*v.
-4*(v - 2)*(v + 75)/3
Let -27412/3*c - 12*c**3 + 13712*c**2 + 4568/3 = 0. What is c?
1/3, 1142
Let z(x) be the second derivative of 3*x**5/80 + 15*x**4/16 - 225*x**3/8 + 1875*x**2/8 - 4962*x - 1. Factor z(o).
3*(o - 5)**2*(o + 25)/4
Factor -195*t**3 + 104*t**3 - 30*t - 9*t**2 + 8 + 95*t**3.
(t - 4)*(t + 2)*(4*t - 1)
Let n(w) be the first derivative of w**4 + 16*w**3/3 + 6*w**2 + 2339. Factor n(v).
4*v*(v + 1)*(v + 3)
Let r be 273/78*8/14. Let 8/13*m**4 + 0 + 10/13*m**3 - 14/13*m**r - 4/13*m = 0. What is m?
-2, -1/4, 0, 1
Let u(w) = -5*w**2 - 6*w - 1. Let x(k) = k**2 + k. Let z = 35 - 17. Let s be (-4)/z - 190/(-45). Let a(c) = s*x(c) + u(c). Find m, given that a(m) = 0.
-1
Let z(f) = -16*f**3 - 571*f**2 - 39192*f + 80642. Let x(c) = 2*c**3 + c**2 + 2. Let v(a) = -7*x(a) - z(a). Factor v(y).
2*(y - 2)*(y + 142)**2
Let l(c) be the first derivative of 800/11*c + 59 - 360/11*c**2 - 26/11*c**3 - 1/22*c**4. Factor l(a).
-2*(a - 1)*(a + 20)**2/11
Let x(v) be the second derivative of 0*v**2 + 2 - 1/135*v**6 + 1/54*v**4 - 105*v + 1/30*v**5 - 1/9*v**3. Factor x(u).
-2*u*(u - 3)*(u - 1)*(u + 1)/9
Suppose 103*v - 113*v = 0. Suppose 5*b - 2*k = -v*k + 16, -12 = 4*k. Determine y, given that -2/3*y + 2*y**b + 2/3*y**4 - 2*y**3 + 0 = 0.
0, 1
Let f(p) = 195*p**2 - 1926*p + 5517. Let x(l) = l**3 + 197*l**2 - 1920*l + 5520. Let d(n) = -4*f(n) + 3*x(n). Factor d(r).
3*(r - 51)*(r - 6)**2
What is t in -91*t**3 + 6*t + 5*t**5 - 17*t**2 - 7*t**5 + 99*t**3 + 0*t**5 + 5*t**4 = 0?
-2, 0, 1/2, 1, 3
Solve 246*x - 2 - 14629/2*x**2 - 15625/2*x**4 - 15375*x**3 = 0.
-1, 2/125
Determine q so that -240 + 68*q + 24*q**2 - 41*q**2 - 54*q + 19*q**2 = 0.
-15, 8
What is f in -11282*f + 26*f**2 + 21*f**3 - f**4 - 7*f**3 - 25 + 10*f**3 + 11258*f = 0?
-1, 1, 25
Let b(z) = 6243*z - 131101. Let k be b(21). Factor 4*l**k + 16/5 - 32/5*l - 4/5*l**3.
-4*(l - 2)**2*(l - 1)/5
Let x(q) be the second derivative of -q**4/72 + 61*q**3/36 - 5*q**2 - 637*q. Factor x(b).
-(b - 60)*(b - 1)/6
Find a, given that 0 - 176/3*a**2 + 146/5*a**3 + 8/15*a = 0.
0, 2/219, 2
Let 15*g**3 - 181*g**2 - 10*g - 5*g**4 - 5*g**5 + 289*g**2 - 103*g**2 = 0. Calculate g.
-2, -1, 0, 1
Find z, given that 2244/5*z**2 + 55146/5*z**3 + 24/5*z + 24843*z**4 + 0 = 0.
-2/5, -2/91, 0
Let m(a) be the second derivative of -a**5/150 - a**4/90 + 4*a**3/9 - a + 993. Determine p, given that m(p) = 0.
-5, 0, 4
Suppose -10*v = -516 + 496. Let g(n) be the first derivative of n**3 + 3/7*n**v + 15/28*n**4 + 0*n + 6. Let g(d) = 0. What is d?
-1, -2/5, 0
Let n(k) = 4*k**4 + 33*k**3 + 177*k**2 + 246*k - 12. Let i(y) = y**4 + 2*y**2 + y - 4. Let q(x) = -12*i(x) + 4*n(x). Let q(l) = 0. Calculate l.
-27, -3, 0
Let l be 3 - (1 - (-141)/21) - (1162 - 1169). Determine x, given that -2/7*x**3 - l*x + 0 - 18/7*x**2 = 0.
-8, -1, 0
Let o(m) = -48*m + 3600. Let v be o(75). Let s(u) be the third derivative of 32*u**2 + v - 1/90*u**5 + 0*u**3 + 1/9*u**4 + 0*u. Factor s(t).
-2*t*(t - 4)/3
Let z(n) be the first derivative of -7*n**5/20 + 3*n**4/2 + 2*n**3 + 152*n**2 + 185. Let c(r) be the second derivative of z(r). Factor c(v).
-3*(v - 2)*(7*v + 2)
Suppose 4088*f = 4087*f + 7. Suppose