Factor -b*j**2 - j + 0 + 5/4*j**3.
j*(j - 2)*(5*j + 2)/4
Let w(x) = -80*x**2 + 80. Let k be -1 + 2/6 + 352/33. Let a(t) = 9*t**2 + 5 - 4 - k. Let j(q) = 35*a(q) + 4*w(q). What is z in j(z) = 0?
-1, 1
Let x be 41426/2184 + (-20)/24. Let j = x - 226/13. Let 3/8*t**2 + j*t + 0 = 0. Calculate t.
-2, 0
Let l(y) be the third derivative of y**6/30 - 257*y**5/60 - 153*y**4/8 - 33*y**3 - y**2 + 1047*y. Solve l(m) = 0.
-1, -3/4, 66
Let t(l) be the first derivative of 8/3*l**2 - 728/15*l**5 + 0*l + 64 + 80/9*l**3 - 98/3*l**6 - 19/3*l**4. Suppose t(v) = 0. What is v?
-1, -2/7, 0, 1/3
Let g be (-6)/8 - (235 + -192 - 525/12). What is n in g + 23/5*n**2 + 1/5*n**3 + 0*n = 0?
-23, 0
Let y = -5961/26 + 29909/130. Solve 0*g - y - 1/5*g**3 + 3/5*g**2 = 0 for g.
-1, 2
Let y = -6719 - -6719. Let u(i) be the third derivative of 0*i**3 - 36*i**2 + 1/60*i**6 + 1/6*i**4 - 1/10*i**5 + 0*i + y. Solve u(d) = 0 for d.
0, 1, 2
Let o(k) = -2 - 1 + 17*k**2 + 1 + 3*k**2. Let l be o(-2). Factor -5*x**2 + l*x**3 - 41*x**3 - 42*x**3 + 20*x + 20.
-5*(x - 2)*(x + 1)*(x + 2)
Suppose 58 + 257*v**3 + 3/2*v**5 - 306*v**2 + 83/2*v - 52*v**4 = 0. What is v?
-1/3, 1, 4, 29
Let n(c) be the third derivative of c**5/210 + 5*c**4/84 - 1253*c**2. Solve n(u) = 0 for u.
-5, 0
Determine m, given that -70/17*m + 76/17*m**2 - 2/17*m**3 - 148/17 = 0.
-1, 2, 37
Let z(a) be the second derivative of a**5/30 + a**4/9 - 181*a**3/9 - 182*a**2/3 + 1223*a. Factor z(m).
2*(m - 13)*(m + 1)*(m + 14)/3
Let l = -74837 - -74841. Find s, given that 2/5*s**2 - 6/5*s - l = 0.
-2, 5
Suppose 424/3*w + w**2 - 284/3 = 0. What is w?
-142, 2/3
Suppose 154*x + 52 = 394 + 2430. Let -3/7*p**2 - x*p - 123/7 = 0. What is p?
-41, -1
Let l(v) = -4*v**2 - 135*v + 47. Let j be l(-34). Suppose j - 3 = 5*g. Solve -10/3 + 5/3*r - 5/3*r**3 + 10/3*r**g = 0 for r.
-1, 1, 2
Solve 0 + 444/5*v + 3/5*v**4 - 69*v**2 - 102/5*v**3 = 0 for v.
-4, 0, 1, 37
Let v be 0 + 69/21 + -2. Let b = -537732/7 + 76821. Factor 3/7*w**2 - 3/7*w**3 + v + b*w.
-3*(w - 3)*(w + 1)**2/7
Let x(j) = -14*j**3 + 30*j**2 + 34*j - 20. Let q(a) = 19*a - a**2 + 24*a + 0*a**3 - 2*a**3 + 3*a**3 - 46*a. Let v(r) = -10*q(r) - x(r). Factor v(g).
4*(g - 5)*(g - 1)*(g + 1)
Let j(p) be the first derivative of -p**6/27 + 104*p**5/45 + 28*p**4/9 - 316*p**3/27 - 55*p**2/9 + 212*p/9 - 578. Suppose j(a) = 0. What is a?
-2, -1, 1, 53
Let h(n) = 7*n + 10. Let m be h(-6). Let z be (m/(-24))/((-2)/(-15)). Factor -11*b**3 - z*b**4 + 17*b**3 + 7*b**4 + 9*b**2.
-3*b**2*(b - 3)*(b + 1)
Let o(k) = -k**3 - k**2 - k + 1. Let r be o(-2). Let s = r - 0. Factor -h - 19*h + 20*h**2 - s*h**3 + 2*h**3.
-5*h*(h - 2)**2
Let d = 2548432/3 + -849453. Factor -d*f**2 - 1/3*f**5 - 16/3 - 56/3*f - 11/3*f**4 - 43/3*f**3.
-(f + 1)**3*(f + 4)**2/3
Let o(k) = -34*k**3 - 58*k - 94. Let a(s) = 120*s**3 + 175*s + 281. Let m(j) = -2*a(j) - 7*o(j). Factor m(r).
-2*(r - 6)*(r + 2)*(r + 4)
Let t(l) be the first derivative of -43/4*l**4 + 210*l**3 - 1666*l**2 + 2744*l + 1/5*l**5 + 246. Solve t(d) = 0.
1, 14
Let t be (-57)/12 + 3 - (-16)/(-56)*-7. Find h such that t*h**2 + 0 - 13/4*h = 0.
0, 13
Suppose 74*g - 27*g = 3854. Suppose -88 + g = -2*m. Find j, given that 1/10*j - 3/10*j**m + 0 - 1/5*j**4 + 0*j**2 = 0.
-1, 0, 1/2
Let d(w) be the third derivative of 72*w**2 + 0 + 0*w - 7/90*w**6 + 0*w**3 - 2/315*w**7 + 0*w**4 - 4/15*w**5. Factor d(k).
-4*k**2*(k + 3)*(k + 4)/3
Suppose -96/11*b + 64/11*b**3 - 18/11*b**5 - 32/11 - 48/11*b**2 + 30/11*b**4 = 0. What is b?
-1, -2/3, 2
Let y(j) be the second derivative of -10*j**3 + 2*j + 235 + 1/3*j**4 + 72*j**2. Solve y(i) = 0 for i.
3, 12
Let w(a) be the first derivative of -5*a**4/12 - 15*a**3 - 85*a**2/2 - 125*a/3 - 3201. What is v in w(v) = 0?
-25, -1
Let q(d) be the second derivative of -d**4/12 + 713*d**3/18 - 79*d**2 + 6*d + 199. What is s in q(s) = 0?
2/3, 237
Solve 77/6*g - 79/3 + 1/6*g**2 = 0 for g.
-79, 2
Let d(n) = 4*n**3 + 222*n**2 - 186*n + 4. Let g(p) = 9*p**3 + 666*p**2 - 559*p + 14. Let v(i) = -7*d(i) + 2*g(i). Determine j, given that v(j) = 0.
-23, 0, 4/5
Let r(d) be the third derivative of -d**8/1008 - d**7/90 - d**6/20 - d**5/9 - d**4/9 + 64*d**2 - 9*d. Factor r(o).
-o*(o + 1)*(o + 2)**3/3
Let i(w) be the second derivative of -w**4/48 + w**3/2 - 964*w. Find v such that i(v) = 0.
0, 12
Let x be (-60)/(-810)*171*3/14. Find r, given that 15/7*r**2 - 2/7 + x*r**3 + r**4 + 1/7*r = 0.
-1, 2/7
Let t(x) be the second derivative of 0 + 53*x - 3*x**2 - 1/12*x**4 + 7/6*x**3. Let t(o) = 0. What is o?
1, 6
Suppose -1/7*t**2 + 1/7*t**3 + 0 - 12/7*t = 0. Calculate t.
-3, 0, 4
Let r(a) be the first derivative of 145 - 3/10*a**4 - 2/25*a**5 + 1/30*a**6 + 4/3*a**3 - 19/10*a**2 + 6/5*a. Solve r(y) = 0.
-3, 1, 2
Let w(g) be the second derivative of -3*g**5/20 + 17*g**4/4 - 7*g**3 - 48*g**2 + 1551*g. Factor w(t).
-3*(t - 16)*(t - 2)*(t + 1)
Let p(c) = 1134*c - 200716. Let i be p(177). Find s such that -14/3*s + 1/3*s**i - 32/3 = 0.
-2, 16
Let v be (730/25 - 10)/((-6)/(-100)). Let t = -3518/11 + v. Factor -8/11*r - t*r**2 + 0.
-2*r*(r + 4)/11
Let d(y) = -2*y**2 + 80*y - 608. Let p(f) = 12*f**2 - 395*f + 3038. Let u(t) = 11*d(t) + 2*p(t). Determine s so that u(s) = 0.
-51, 6
Factor 0*r + 0 - 31/2*r**3 + 1/4*r**4 - 180*r**2.
r**2*(r - 72)*(r + 10)/4
Let w(i) be the second derivative of -16*i**7/21 + 344*i**6/15 - 161*i**5/10 - 73*i**4/3 - 7*i**3 + 642*i - 3. Suppose w(h) = 0. What is h?
-1/4, 0, 1, 21
Let r(o) be the first derivative of 2*o**5/5 + 125*o**4/6 - 202*o**3/3 + 73*o**2 - 88*o/3 - 1306. Let r(w) = 0. What is w?
-44, 1/3, 1
Let f(k) be the third derivative of 0 - 7/54*k**4 - 1/945*k**7 + 0*k**3 - 13*k**2 + 0*k - 23/270*k**5 - 1/54*k**6. Factor f(g).
-2*g*(g + 1)*(g + 2)*(g + 7)/9
Let t(q) = -2*q**4 - 38*q**3 + 654*q**2 - 2690*q + 3124. Let f(g) = -6*g**4 - 114*g**3 + 1962*g**2 - 8070*g + 9364. Let k(r) = -3*f(r) + 8*t(r). Factor k(n).
2*(n - 5)**2*(n - 2)*(n + 31)
Find d such that 2/5*d**2 - 372/5 + 118/5*d = 0.
-62, 3
Let h(d) be the second derivative of -8*d**2 - 4/5*d**5 + 1/3*d**4 + 32/3*d**3 - 8 + d. Factor h(b).
-4*(b - 2)*(b + 2)*(4*b - 1)
Let o be 14/(-8) + 504/288. Let t(k) be the second derivative of -3/2*k**2 + 11*k - k**3 + o - 1/4*k**4. Determine v, given that t(v) = 0.
-1
Let o(b) be the first derivative of 2*b**5/15 + b**4/3 - 14*b**3/9 + 4*b**2/3 - 262. What is j in o(j) = 0?
-4, 0, 1
Let v = 197 + -192. Suppose -405*l**5 + v - 1166*l**4 - 885*l + 527*l**4 + 2620*l**2 - 1431*l**4 - 1590*l**3 + 85 = 0. Calculate l.
-3, 2/9, 1/3
Let -800/7*m - 360/7*m**2 - 500/7 - 64/7*m**3 - 4/7*m**4 = 0. What is m?
-5, -1
Let r(w) be the second derivative of -4/11*w**2 + 1/11*w**3 + 1/66*w**4 - 6 - 3*w. Solve r(x) = 0.
-4, 1
Let x = 33/23 - 76/69. Let q(y) be the first derivative of 37 + 0*y + x*y**2 - 1/6*y**4 + 0*y**3. Suppose q(h) = 0. Calculate h.
-1, 0, 1
Factor -7*a**5 + 24*a**3 + 16*a**2 + 12*a**4 + 17*a**5 - 8*a**5.
2*a**2*(a + 2)**3
Let p(z) be the second derivative of -11/6*z**3 + 0 + 0*z**4 + 0*z**2 - 27*z - 1/10*z**5 + 1/90*z**6. Let i(c) be the second derivative of p(c). Factor i(m).
4*m*(m - 3)
Solve 306/7*v**2 - 3/7*v**3 + 0 + 0*v = 0.
0, 102
Find o such that 110/9*o**2 + 26/3*o + 34/9*o**3 + 0 + 2/9*o**4 = 0.
-13, -3, -1, 0
Let m(k) be the first derivative of 51*k**4/4 - 50*k**3 - 9*k**2/2 + 1170. Factor m(w).
3*w*(w - 3)*(17*w + 1)
Let w(r) = -8*r**5 - 16*r**4 + 16*r**3 - 2*r**2 - 8*r - 50. Let u(t) = t**5 + 2*t**4 - 2*t**3 + t + 6. Let z(y) = 17*u(y) + 2*w(y). Factor z(o).
(o - 1)**2*(o + 1)**2*(o + 2)
Suppose 5*f = 4*f + 31. Let r be f - ((-3)/(-1))/1. Solve -20*o**4 + 8*o**2 + 12 - 22*o**3 - 4*o**5 + r*o + 3*o**3 + 13*o**3 - 18*o**3 = 0.
-3, -1, 1
Let b(v) = -v**3 + 6*v**2 - 4*v + 3. Let f = 3 - 1. Let h be b(f). Factor -9*u**2 + 3 - 3 + h*u**2.
2*u**2
Let w = -10867 + 10867. Let v(g) be the third derivative of w*g + 5/6*g**3 - 3*g**2 + 0 + 5/4*g**4 - 7/12*g**5. Factor v(l).
-5*(l - 1)*(7*l + 1)
Let y = -22100 - -22100. Let r(p) be the second derivative of 3/2*p**4 - 23*p + 1/3*p**3 - 9*p**2 - 1/10*p**5 + y. Let r(t) = 0. Calculate t.
-1, 1, 9
Let o be (-1 + 2)*180/(-90)*-1*2. Let y(g) be the first derivative of 2*g**2 + 5 + 1/5*g**5 - 1/3*g**3 - g**o + 0*g. Suppose y(n) = 0. What is n?
-1, 0, 1, 4
Let n be 1/14*4 + ((-8)/(-1) - 35200/4620). Suppose 2 - 