derivative of b(o). Factor r(j).
-j**2*(j - 1)*(j + 1)/2
Let f(l) be the first derivative of l**3/12 - 181*l**2/8 - 614. Determine b, given that f(b) = 0.
0, 181
Suppose -3*v - 122 = -20. Let t = -32 - v. Solve -16 - s**2 - 8*s**2 + 24*s + 2*s**3 - 3*s**t = 0 for s.
2
Suppose 0 = 5*w + h - 96 - 48, -3*w = -3*h - 72. Let g = w + -24. Solve 9*n + g*n**2 + 66 - n**2 - 78 = 0 for n.
-4, 1
Let h be 9 + (12 + -1 - 18). Let n be 8 + 959/(-245) + 4/(-14). Find c, given that 7/5*c**h - 6/5 - n*c = 0.
-2/7, 3
Let q be 2 - 2/(-7) - (-6)/(-21). Let u(p) = -p**2 - p + 4. Let w be u(0). Solve 4*h**3 + 4*h**3 - 4*h**2 + w*h**4 - q*h**3 = 0.
-2, 0, 1/2
Let 8*g**2 + 169*g**4 + g**3 - 7*g**3 - 349*g**4 + 0*g**3 + 177*g**4 + g**5 = 0. Calculate g.
-2, 0, 1, 4
Suppose 4*x = -2*w + 20, -2*x + 5*x = 12. Let s(v) = v + 2. Let t be s(w). Factor 4375*z**3 - 4375*z**3 - 4*z**4 + t*z**2.
-4*z**2*(z - 1)*(z + 1)
Let v = 84 - 81. Factor 19*z + 0*z**3 - 16*z**2 + 39*z - 24 - 4*z**v - 14*z.
-4*(z - 1)**2*(z + 6)
Let j = 231 - 215. Suppose 12*n**3 - 32*n**4 - 92*n + 20*n**4 + 24 + 84*n**2 - j*n**4 = 0. What is n?
-2, 3/7, 1
Let s(m) be the third derivative of -16 - 80/3*m**3 - 2/3*m**7 + 98/3*m**4 + 0*m - 2*m**2 - 361/30*m**6 - 6*m**5. Determine x, given that s(x) = 0.
-10, -1, 2/7, 2/5
Let p(k) = -k**3 + 8*k**2 + 26*k - 36. Let i be p(10). Suppose 29*a**3 + 8 - a**5 - 10*a**5 - 58*a**2 - 36*a + i*a**4 + 8*a**2 = 0. What is a?
-1, 2/11, 2
Let i = -1650469/5 - -330094. Let -4/5 + 3/5*l + i*l**2 = 0. What is l?
-4, 1
Suppose -81 = 3*i - 2*r - 67, 0 = 14*i - 2*r - 8. Factor 3*v - 9 - 1/4*v**i.
-(v - 6)**2/4
Let r(l) be the first derivative of l**3/4 + 3237*l**2/4 + 3492723*l/4 + 1493. Suppose r(m) = 0. Calculate m.
-1079
Let x(t) = 17*t - 16. Let g be x(57). Let c = 957 - g. Factor -c*p**3 - 4/5 - 12/5*p + 36/5*p**2.
-4*(p - 1)**2*(5*p + 1)/5
Let n = -927 - -934. Suppose -5*k - 3 = -28. Factor 5*g**3 - 2*g**3 + 24*g**4 + n*g**3 + 5*g**k - 9*g**4.
5*g**3*(g + 1)*(g + 2)
Suppose 13*q + 20 = 18*q. Suppose 0 = -6*f + q*f + 284. Determine a so that f*a**3 - 138*a**3 + 3*a**2 - 11*a**2 = 0.
0, 2
Let b(d) be the second derivative of -d**7/210 + d**6/30 - 9*d**5/100 + 7*d**4/60 - d**3/15 - 12911*d. Find m such that b(m) = 0.
0, 1, 2
Suppose 10*u + 4*p - 52 = 0, -13794*p - 6 = u - 13795*p. Factor 3/7*r**u + 36/7 - 39/7*r.
3*(r - 12)*(r - 1)/7
Let j = -215 - -223. Let h(m) = -10*m**5 + 6*m**4 - 4*m**3 + 8*m. Let c(u) = -u**5 + u**4 - u**3 + u. Let y(n) = j*c(n) - h(n). Solve y(z) = 0 for z.
-2, 0, 1
Suppose 12*h - 3572 = 8*h. Let z(c) be the first derivative of -4*c + 23*c**2 + 13*c**2 + 10 + h*c**3 - 1001*c**3. Find v, given that z(v) = 0.
1/9
Suppose 4 = 4*q - 2*j, -2*q - 3*j + 16 = 3*q. Factor 4*u**3 + 8*u**q - 83*u + 16*u + 35*u.
4*u*(u - 2)*(u + 4)
Let l(t) be the third derivative of -t**8/84 - 24*t**7/35 - 161*t**6/15 + 12*t**5/5 + 323*t**4/6 + 8*t**2 - 102*t. Suppose l(x) = 0. What is x?
-19, -17, -1, 0, 1
Let q(l) = -424*l - 845. Let f be q(-2). Let b be (-22)/36 - 39/(-26). What is c in 0 + 4/9*c**2 - 4/9*c**f + b*c = 0?
-1, 0, 2
Let a(i) be the third derivative of i**7/630 - i**6/90 - i**5/2 + 121*i**4/24 - 69*i**2. Let w(s) be the second derivative of a(s). Factor w(v).
4*(v - 5)*(v + 3)
Suppose 0 = -s - 4*t - 384, 2*s + 1057 = -3*t + 304. Let r = s + 375. Determine n so that -2/3 - 4/3*n - 1/6*n**r - 5/6*n**2 = 0.
-2, -1
Suppose -4*h = 5*b + 168511 - 168474, -13 = -2*h + b. Factor 1/5*l**5 + 0*l + 0*l**h - 3/5*l**3 + 0 + 2/5*l**4.
l**3*(l - 1)*(l + 3)/5
Let m(v) = -v**3 - 6*v**2 + 18*v + 18. Let x be m(-8). Factor -115*i + 4 - 12*i**x + 237*i**2 + 20*i + 6.
5*(5*i - 1)*(9*i - 2)
Let k = 1888 + -1888. Let g(m) be the third derivative of 0*m + 0*m**4 + k*m**3 - 1/245*m**7 - 1/84*m**6 + 0 + 12*m**2 - 1/105*m**5. Factor g(l).
-2*l**2*(l + 1)*(3*l + 2)/7
Factor 0 - 16*o + 1/5*o**2.
o*(o - 80)/5
Let k be 444/(-1480)*(-5)/6. Suppose -3*p = p - 12. Factor -3/4*j**2 + j - k*j**p + 0.
-j*(j - 1)*(j + 4)/4
Let q = 2647/9 + -293. Let o(w) be the first derivative of q*w**3 - 17 + 8/3*w**2 - 8/3*w. Factor o(j).
2*(j + 2)*(5*j - 2)/3
Let p(a) be the second derivative of -a**6/105 - 41*a**5/70 + 43*a**4/14 - 131*a**3/21 + 44*a**2/7 + 6172*a. Find n, given that p(n) = 0.
-44, 1
Let d(u) = -u**2 - 14*u. Let m(b) = 4*b**3 + 404*b**2 - 1180*b. Let i(c) = -4*d(c) - m(c). Determine q so that i(q) = 0.
-103, 0, 3
Let u(x) = -58*x**2 - x + 59*x**2 - 13 - 21. Let i(n) = -12*n**2 + 15*n + 441. Let z(o) = 2*i(o) + 27*u(o). Factor z(w).
3*(w - 3)*(w + 4)
Suppose -g + 5*j = -10, -8*g - 54 = -3*g + j. Let z be 1/(g/16)*(-206)/2472. Suppose 8/15*h - 2/5*h**2 + 0 - z*h**3 = 0. Calculate h.
-4, 0, 1
Let k be 3/2 + (-12)/(-8). Suppose -3*x - 2*x + 1 = 4*o, -5*x = 2*o + 7. Find g, given that -36*g**o + 30*g**4 + 3*g**k + 4*g**5 - g**5 = 0.
0, 1
Let f(d) be the third derivative of -d**6/160 + 9*d**5/80 + 53*d**4/16 - 30*d**3 - 4087*d**2. Factor f(o).
-3*(o - 15)*(o - 2)*(o + 8)/4
Suppose -w - w - 52 = -5*z, -2*z + 88 = -4*w. Let t = w + 23. Determine n so that -n + 4*n + n**t - 3*n**2 + 5*n**2 = 0.
-1, 0
Let n be 11 + (-2 - -6) + (-399)/27. Factor 14/9*f - 8/3 - n*f**2.
-2*(f - 4)*(f - 3)/9
Suppose 6*b - 171 = 189. Suppose -33*j - b = -48*j. Determine o, given that -1/2*o**3 - 1/4*o**j + 0*o + 1/2*o**5 + 0 + 1/4*o**2 = 0.
-1, 0, 1/2, 1
Let t(m) be the second derivative of 13*m + 1/3*m**2 - 2 - 1/18*m**4 + 1/12*m**5 - 5/18*m**3. Factor t(d).
(d - 1)*(d + 1)*(5*d - 2)/3
Suppose -2*o - 14*l = -16*l - 40, 19*o + 5*l + 52 = 0. Determine w, given that 1452/5 + 132/5*w + 3/5*w**o = 0.
-22
Let o(t) be the third derivative of -4*t + 0 + 96*t**3 + 5*t**2 + 1/60*t**5 + 2*t**4. Factor o(q).
(q + 24)**2
Suppose -20 = -5*i + 5*s, i = 4*s - 9*s - 8. Factor 30*p**3 - 13*p**3 + 3*p - 22*p**3 + i*p.
-5*p*(p - 1)*(p + 1)
Let p = 40 + -40. Suppose p = 11*r - 16*r + 20. Solve -2*f**2 + 6*f**2 + 125*f**4 - 129*f**4 - 4*f**3 + r*f = 0.
-1, 0, 1
Factor -1323/8*q + 165/2*q**2 + 3/4.
3*(q - 2)*(220*q - 1)/8
Suppose -433 - 554 = -7*x. Find o, given that 36*o**4 - 40*o**3 - 52*o - 1 + 3 + o**2 - x*o**2 + 16*o**5 - 18 - 44*o = 0.
-2, -1, -1/4, 2
Let w(n) = -n**2 + 20*n - 31. Let v be w(18). Solve -23*b + 7*b**4 + 20*b**3 + 10 - v*b - 12*b**4 + 51*b**4 - 56*b**2 + 8*b**5 = 0.
-5, -1, 1/4, 1
Let b(y) be the second derivative of -y**7/42 - 11*y**6/15 - 7*y**5/5 + 113*y**4/6 - 275*y**3/6 + 50*y**2 - 45*y - 39. Factor b(g).
-(g - 1)**3*(g + 5)*(g + 20)
Let t(s) = 2*s**2 + s + 1. Let v be 4*(-2)/(-1*8 + 0). Let d be t(v). Solve d*c**4 - 20*c**3 + 111*c**5 + 12*c**2 - 55*c**5 - 52*c**5 = 0 for c.
-3, 0, 1
Let m(y) be the first derivative of 9/13*y**2 - 4/13*y + 7/13*y**4 - 12/65*y**5 + 1/39*y**6 + 44 - 32/39*y**3. Factor m(u).
2*(u - 2)*(u - 1)**4/13
What is a in -120 + 860 - 226*a - 244*a - 22 + 202 + 5*a**2 = 0?
2, 92
Factor 73*n**3 + 0 + 1/2*n**4 + 2736*n**2 + 5184*n.
n*(n + 2)*(n + 72)**2/2
Let u(v) be the third derivative of -v**8/1680 - v**7/420 + v**5/60 + v**4/24 - 55*v**3/6 - 107*v**2. Let y(j) be the first derivative of u(j). Factor y(t).
-(t - 1)*(t + 1)**3
Let k = 1/378 - -125/378. Suppose 0 = -a + 3*r - 0 + 9, -4*a + 3*r + 18 = 0. Let 3 - l - 5/3*l**2 - k*l**a = 0. Calculate l.
-3, 1
Let s = 762385/48 + -15883. Let n(a) be the second derivative of 17*a - 7/12*a**3 + 0 + 49/8*a**2 + s*a**4. Determine c, given that n(c) = 0.
7
Let t(d) be the first derivative of -27*d - 10*d**2 - 5/12*d**4 + 25 + 10/3*d**3. Let m(u) be the first derivative of t(u). Factor m(j).
-5*(j - 2)**2
Suppose -43*i**4 + 22*i**5 + 2452*i**2 + 2450*i**2 + 16*i**3 + 2*i**4 - 7344*i**2 + 2445*i**2 = 0. Calculate i.
-3/22, 0, 1
Let b(z) be the first derivative of -5*z**4/4 - 2750*z**3/3 - 378125*z**2/2 + 1301. Find j, given that b(j) = 0.
-275, 0
Let b be 260/156 + 31/3 + 3*-3. Solve 0*p**b - 3/7*p**5 + 0*p - 3/7*p**4 + 0*p**2 + 0 = 0.
-1, 0
Factor 83346*f**2 + 8*f + 4*f**4 - 166698*f**2 - 12*f**3 + 83348*f**2 + 4*f**5.
4*f*(f - 1)**2*(f + 1)*(f + 2)
Let h be ((-1)/(-30))/(9 + 35/(-4)). Let w = 11/30 + h. Factor 1/4*i**3 - w*i**2 - 1/4*i + 1/2.
(i - 2)*(i - 1)*(i + 1)/4
Factor 2/5*s**3 + 586/5*s + 688/5 - 20*s**2.
2*(s - 43)*(s - 8)*(s + 1)/5
Let o = 78594/13 - 550080/91. Factor 9/7*z**2 - 3/7*z**4 + o*z**3 - 12/7 - 12/7*z.
-3*(z - 2)**2*(z + 1)**2/7
Let h = 778