1, 2/27
Let r(b) be the third derivative of -b**6/60 + 3*b**5/5 + 229*b**4/12 + 126*b**3 - 3*b**2 - 1006*b. Let r(w) = 0. What is w?
-7, -2, 27
Factor 0 - 5/4*o**2 - 1455/4*o.
-5*o*(o + 291)/4
Factor 190008*b + 5*b**4 - 4*b**4 + 3*b**4 - 436*b**3 + 255527*b**2 + 1210*b**3 + 1245*b**3 - 63504.
(b + 1)*(b + 252)**2*(4*b - 1)
Let b = 580562/85761 + -2/6597. Let -80/13*v**2 + 32/13 - 14/13*v**3 - b*v = 0. What is v?
-4, -2, 2/7
Let k = 626423/5 - 125284. Factor -k*f - 6/5 + 3/5*f**2.
3*(f - 2)*(f + 1)/5
Let d(l) = 2*l**3 + 514*l**2 + 488*l - 6144. Let b be d(-256). Let b - 1/3*s**2 - 19/3*s = 0. Calculate s.
-19, 0
Let q(l) be the second derivative of l**7/112 + l**6/16 - 51*l**5/160 - 17*l**4/32 + 2*l**3 + 21*l**2/4 - 1963*l. Find o, given that q(o) = 0.
-7, -1, 2
Let x(h) be the first derivative of h**6/3 - 4*h**5/5 - 10*h**4 - 16*h**3 - 3073. Factor x(r).
2*r**2*(r - 6)*(r + 2)**2
Let f(d) be the second derivative of 9/5*d**2 + 5*d - 1 - 13/60*d**4 - 1/10*d**3 - 1/150*d**6 + 7/100*d**5. Factor f(l).
-(l - 3)**2*(l - 2)*(l + 1)/5
Factor 10*m**2 + 3002*m + 17*m**2 - 46*m**2 + 13*m**2 - 2004 + 12*m**2.
2*(m + 501)*(3*m - 2)
Let s be 106515/6075 - (66/9 + -5). Determine y so that 1444/5 + s*y + 1/5*y**2 = 0.
-38
What is d in 0*d + 1/2*d**3 + 515/2*d**2 + 0 = 0?
-515, 0
Let s(w) = w**4 + w**3 - w**2 + w - 2. Let l(g) = -14*g**4 - 132*g**3 - 322*g**2 + 94*g + 302. Let z(i) = 3*l(i) + 3*s(i). Suppose z(j) = 0. What is j?
-5, -1, 12/13
Let i(n) be the third derivative of -n**6/24 + 7*n**5/24 - 5*n**4/12 - 25*n**3 + 46*n**2 + n. Let j(d) be the first derivative of i(d). Factor j(r).
-5*(r - 2)*(3*r - 1)
Suppose 10*i**2 - 16/5*i**4 + 12/5*i**3 + 1/5*i**5 - 77/5*i + 6 = 0. What is i?
-2, 1, 15
Let q be (-8)/(-36) + ((-460)/96)/(1215/(-324)). Solve -1 - q*p**3 - 3/2*p + 4*p**2 = 0 for p.
-1/3, 1, 2
Factor -i**3 - 350 - 151*i**2 + 59*i + 147*i**2 + 56*i + 0*i**3 + 0*i**3.
-(i - 5)**2*(i + 14)
Suppose -7019*y + 7026*y = 28. Let -m + 15/2*m**2 + y*m**3 + 0 = 0. Calculate m.
-2, 0, 1/8
Let q(l) be the third derivative of -2*l**7/105 + 41*l**5/20 - 121*l**4/24 + 5*l**3 - 2*l**2 + 255. Factor q(c).
-(c - 5)*(c + 6)*(2*c - 1)**2
Let f(p) be the first derivative of p**6/10 - 12*p**5/25 - 27*p**4/20 + 36*p**3/5 + 3368. Solve f(v) = 0 for v.
-3, 0, 3, 4
Let p be 18/9*((-82)/(-4))/(-1). Let z = p + 73. Factor -3*a**2 + a**2 - 38*a - z + 54*a.
-2*(a - 4)**2
Suppose 0 = -5*c - 50 + 60. Factor 19 + c*o**2 - 7 + 4 - 9*o - 9*o.
2*(o - 8)*(o - 1)
Suppose -u + 91*u + 13*u = 309. Let r(q) be the first derivative of -5 + 4/27*q**u + 0*q - 4/3*q**2. Factor r(b).
4*b*(b - 6)/9
Let d be 4 - (-2)/(5 + -18 + 11). Let x(l) be the first derivative of d*l**4 + 20/3*l**3 + 10 + 4*l**2 + 0*l - 2/3*l**6 - 4/5*l**5. Factor x(p).
-4*p*(p - 2)*(p + 1)**3
Suppose -2*m = -0*t + t + 458, 454 = -t - m. Let p = t - -455. Solve 0 + 1/2*l + 1/4*l**p + 5/4*l**4 + 7/4*l**2 + 9/4*l**3 = 0.
-2, -1, 0
Let a(q) be the second derivative of q**4/10 - 48*q**3/5 + 276*q**2/5 + 45*q - 4. Factor a(v).
6*(v - 46)*(v - 2)/5
Let o(i) be the second derivative of 0*i**2 - 9/28*i**4 + 0*i**3 + 24*i + 3/140*i**5 + 1. What is d in o(d) = 0?
0, 9
Factor -330 + 455*a - 500/3*a**2 + 20/3*a**3.
5*(a - 22)*(2*a - 3)**2/3
Let o(t) be the first derivative of -4/11*t**4 - 32/11*t**2 - 2/55*t**5 - 16/11*t**3 - 32/11*t + 54. Factor o(y).
-2*(y + 2)**4/11
Suppose 353*b - 351*b - 12 = 0. Suppose 0 = -20*c + b - 6. Let -1/6*r**2 + 0 + c*r = 0. Calculate r.
0
Let p = -137 - -238. Let p*a**5 + 196*a**2 - 42*a**3 - 38*a**4 + 14*a**4 - 103*a**5 = 0. What is a?
-7, 0, 2
Let m be 236*5/900 + -1. Let k = m - -2/15. Factor -2/9*y**2 - 2/9 - k*y.
-2*(y + 1)**2/9
Let f(o) be the second derivative of -15625*o**4/18 + 500*o**3/9 - 4*o**2/3 - 13*o - 7. Factor f(p).
-2*(125*p - 2)**2/3
Determine g so that 4/3*g + 0 + 26/9*g**3 + 38/9*g**2 = 0.
-1, -6/13, 0
Let w(a) = -a**2 + 6*a - 4. Let n be w(4). Let i be -2 - (-14 + 2) - n. Determine s so that -4*s**2 + i*s**2 - 3*s - s = 0.
0, 2
Let i be (1 - 1)*(-58)/116. Let j(u) be the second derivative of 1/60*u**3 + 0*u**2 + 10*u + i - 1/60*u**4 + 1/200*u**5. Factor j(g).
g*(g - 1)**2/10
Let g = -105 + 1369/13. Let j be (-25)/(-1950)*(2 - -10). Let -j*c - 4/13*c**2 + 2/13*c**3 + g*c**4 + 0 = 0. What is c?
-1, -1/2, 0, 1
Factor 3/4*v**4 + 15*v**2 + 12*v + 6*v**3 + 0.
3*v*(v + 2)**2*(v + 4)/4
Let t(l) = -1056 + 1045 + 2*l - 7*l**2 + 0*l**2. Let f(z) = 10*z**2 - 2*z + 16. Let w(q) = 5*f(q) + 7*t(q). Factor w(g).
(g + 1)*(g + 3)
Factor 102*z - 1768*z + 46*z + 108*z**3 - 5*z**4 - 720*z**2 - 213*z**3.
-5*z*(z + 6)**2*(z + 9)
Let w(i) be the first derivative of 0*i - 40/3*i**3 - 145 - 6*i**2. Factor w(x).
-4*x*(10*x + 3)
Let z(d) = d**2 - 7*d + 22. Let f be z(3). Suppose 13*i**2 - 1 - 78*i - 12 - 1 - f + 8*i**2 = 0. What is i?
-2/7, 4
Let u be (8 - 227/30)/1. Let w(c) be the second derivative of -6/5*c**5 + 0*c**2 + 3*c + 0 + u*c**6 + 2/7*c**7 - 1/4*c**4 + 1/3*c**3. Solve w(y) = 0.
-2, -1/3, 0, 1/4, 1
Let b be (5 + -4 - 130/135)/((-168)/(-126)). Let w(p) be the first derivative of b*p**4 + 4/27*p**3 + 2/9*p + 5/18*p**2 + 6. Factor w(m).
(m + 1)**2*(m + 2)/9
Let d(l) be the third derivative of 0 + 1/360*l**5 - 5/9*l**3 + 0*l - 1/144*l**4 + 142*l**2. Factor d(s).
(s - 5)*(s + 4)/6
Factor -6*w + 0 - 3/5*w**2 + 6*w**3 + 3/5*w**4.
3*w*(w - 1)*(w + 1)*(w + 10)/5
Suppose -2*s + 9288 + 2962 = 0. Determine b so that -373*b - 4*b**2 + 3*b**2 + 0*b**2 - s + 23*b - 4*b**2 = 0.
-35
Determine o, given that 15/8*o**5 - 237/8*o**2 - 6*o - 75/8*o**3 + 69/8*o**4 + 15/2 = 0.
-5, -1, 2/5, 2
Let -2209 + 324*r**2 + 313*r**2 - 956*r**2 - 4014*r - 403*r + 321*r**2 = 0. What is r?
-1/2, 2209
Let -2*y**4 - 34*y**5 + 103*y**5 - 34*y**5 - 22*y**4 - 32*y**5 + 882*y**2 - 105*y**3 = 0. Calculate y.
-6, 0, 7
Suppose g + 4 = -2*r, -g + 342*r = 337*r - 24. Let c(a) be the first derivative of 16/35*a**5 - 17/14*a**g - 1/7*a**2 + 20/21*a**3 + 0*a + 12. Factor c(w).
2*w*(w - 1)**2*(8*w - 1)/7
What is x in 2*x - 4/3 - 2/3*x**3 + 0*x**2 = 0?
-2, 1
Suppose 4*s = 5*r - 243 - 3772, -4000 = -5*r + s. Factor -9*h**4 - 3*h**2 - r*h**5 + 9*h**3 - 798*h**5 + 1600*h**5.
3*h**2*(h - 1)**3
Let d be (21040/(-34716))/((-10)/3). Factor -4/11 - d*c + 6/11*c**3 + 8/11*c**2.
2*(c + 1)**2*(3*c - 2)/11
Let i(y) be the second derivative of -y**5/110 + 59*y**4/66 - 1139*y**3/33 + 7225*y**2/11 - 4098*y. Determine l, given that i(l) = 0.
17, 25
Let u(k) be the second derivative of k**5/5 + 49*k**4 - 606*k**3 + 2754*k**2 - 619*k. Factor u(i).
4*(i - 3)**2*(i + 153)
Let d(r) = 2*r**4 - 26*r**3 + 52*r**2 - 96*r - 44. Let q(k) = -2*k**3 + k**2 - 5*k - 2. Let f(u) = d(u) - 22*q(u). Find m, given that f(m) = 0.
-7, -1, 0
Let i = 646 - 4512/7. Let f be (-88)/(-1320) + (-106)/(-210). Let 2*k**3 - 2*k - i*k**4 + f + 6/7*k**2 = 0. Calculate k.
-1, 2/5, 1
Let a(o) be the first derivative of -o**5/12 + 5*o**4/4 - 25*o**3/6 + 26*o**2 + 2*o + 205. Let j(z) be the second derivative of a(z). Solve j(b) = 0 for b.
1, 5
Let i be (-3 - -1)/(3000/(-24600)). Factor -1681/5 - 1/5*n**2 - i*n.
-(n + 41)**2/5
Suppose 0 = -3*o - w + 83, o - 2*o + w = -21. Let a be o/(-39) + 5/3. Determine m, given that 20*m + 12*m**2 - 42*m**2 - a - 5*m**4 + 20*m**3 - 4 = 0.
1
Let l(i) be the first derivative of i**4/32 - 131*i**3/12 + 777*i**2/16 + 3548. Solve l(u) = 0 for u.
0, 3, 259
Let f(p) = -39*p**2 + 41*p + 931. Let o(l) = -22*l**2 + 16*l + 466. Let r(j) = 4*f(j) - 7*o(j). Factor r(a).
-2*(a - 33)*(a + 7)
Let i(w) = 6*w**3 - 91*w**2 + 189*w - 2608. Let a be i(15). Let g = 193/40 + -29/8. Suppose g*j + 2/5*j**a - 8/5 = 0. Calculate j.
-4, 1
Let i(p) = -p**3 + 10*p**2 - 5*p + 1. Let a be i(8). Let o = a - 74. Factor 8*q**3 - 40*q + 0*q**3 - q**3 + 20 + o*q**2 - 5*q**4 + 3*q**3.
-5*(q - 2)*(q - 1)**2*(q + 2)
Let c be 2/(-6 - 996/(-156)) - 4. Factor -1/5*s**4 + 4/5*s**3 - 1/5 - c*s**2 + 4/5*s.
-(s - 1)**4/5
Let u(p) be the second derivative of -3*p**5/4 + 217*p**4/4 + 357*p**3/2 + 405*p**2/2 - 1024*p. Suppose u(w) = 0. What is w?
-1, -3/5, 45
Suppose -79*w = -103*w - 196*w + 660. Factor 3/2*f + 0 - 3*f**2 + w*f**4 + 0*f**3 - 3/2*f**5.
-3*f*(f - 1)**3*(f + 1)/2
Factor -5*l**2 + 5*l**2 + 0*l**2 + 3*l**2 - 105*l - 7 - 2645.
3*(l - 52)*(l + 17)
Factor -2/15*w**2 + 54/5 - 32/3*w.
-2*(w - 1)*(w + 81)/15
Let