-4/5, 0
Let y = -116624 + 116626. Factor 0 - y*i - 8/3*i**2 - 2/3*i**3.
-2*i*(i + 1)*(i + 3)/3
Let p = -381 - -371. Let l be 10/(-50)*p/3. Find y such that -2*y - 4/3 + l*y**3 + 0*y**2 = 0.
-1, 2
Let v(t) = t**4 + 2. Let a(g) = 249*g**4 + 2816*g**3 - 1048*g**2 + 96*g + 14. Let d(x) = 2*a(x) - 14*v(x). Factor d(i).
4*i*(i + 12)*(11*i - 2)**2
Let f(g) = g**3 - 6*g**2 - 50*g + 300. Let o be f(6). Let t(y) be the third derivative of 2/3*y**3 - 1/15*y**5 + o*y**4 + 0*y + 7*y**2 + 0. Solve t(u) = 0.
-1, 1
What is d in 11244 - 11403 + 780*d + 5864 - 5*d**2 = 0?
-7, 163
Let w(a) be the third derivative of a**5/90 + a**4/4 + 14*a**3/9 - 12*a**2 - 40. Let w(b) = 0. What is b?
-7, -2
Solve -16/3*v + 2/3*v**2 + 0 = 0.
0, 8
Let o(p) be the first derivative of 2/3*p**4 - 8*p**2 + 28 + 12*p + 4/9*p**3. Factor o(z).
4*(z - 1)*(z + 3)*(2*z - 3)/3
Let o = 3267617/5 - 653523. Factor o*n**3 + 1/5*n**4 + 0*n - 3/5*n**2 + 0.
n**2*(n - 1)*(n + 3)/5
Factor 2406104/3*s + 1/3*s**4 + 134*s**3 + 0 + 17956*s**2.
s*(s + 134)**3/3
Let k be ((-152)/12 - -8)*24/(-28). Let w(n) be the third derivative of 0*n**k - 22*n**2 + 0*n**3 + 0 + 1/120*n**5 + 0*n. Solve w(r) = 0.
0
Suppose -4*x - 40 = -4*n, -4*n + 45*x - 20 = 47*x. Factor 0*s + 2/11*s**4 - 8/11*s**2 + n + 0*s**3.
2*s**2*(s - 2)*(s + 2)/11
Let f be 26208/13832 - (-4)/38. Let w(v) be the first derivative of -2/9*v - 2/45*v**5 + 4/27*v**3 - 23 + 0*v**4 + 0*v**f. Suppose w(g) = 0. What is g?
-1, 1
Let o(v) be the second derivative of -11*v + 0*v**2 + 1/30*v**6 + 5/84*v**4 + 0 + 11/140*v**5 + 1/294*v**7 + 0*v**3. Solve o(l) = 0.
-5, -1, 0
Suppose 7862*o - 8510*o - o**5 - 143 + 153*o**3 - 279*o**2 - 20*o**3 + 39*o**4 + 899 = 0. What is o?
-3, 1, 2, 42
Let w be 5/(7 - 2) + 14/(-18). Let f = 293/315 - 17/35. Suppose -2/3*p**2 - 2/9*p**5 + 0 + f*p + 2/3*p**4 - w*p**3 = 0. What is p?
-1, 0, 1, 2
Suppose 5*k + 12*h - 2200 = 15*h, 5*k = 2*h + 2200. Let u be (-3)/10 - (-692)/k. Suppose 0 - 10/11*r**3 + u*r**2 + 12/11*r = 0. Calculate r.
-3/5, 0, 2
Let -196*n**2 - 12*n + 352 + 151*n**2 + 41*n**2 = 0. What is n?
-11, 8
Suppose -13*h - 7*h + 40 = 0. Let u(q) be the second derivative of 37/21*q**4 + 6/7*q**5 + 8/7*q**h + 40/21*q**3 + 0 + 6/35*q**6 - 5*q. Factor u(f).
4*(f + 1)**2*(3*f + 2)**2/7
Solve 118 + 2*k - 80*k - 48*k + 20*k**2 - 12 = 0 for k.
1, 53/10
Find x such that -16 - 11/2*x**3 - 32*x - 21*x**2 - 1/2*x**4 = 0.
-4, -2, -1
Find n, given that -135 - 501/2*n**3 - 2259/2*n - 1821/2*n**2 - 45/2*n**4 = 0.
-5, -3, -2/15
Suppose 2*w - 15*w = -26. What is c in -2 + w*c**4 + 6*c**2 - 45*c + 55*c - 10*c**3 - 6 = 0?
-1, 1, 4
Let s(l) be the second derivative of -l**6/105 - 6*l**5/35 + 29*l**4/42 + 4*l**3/7 - 4*l**2 + 46*l - 4. Determine i, given that s(i) = 0.
-14, -1, 1, 2
Let y(h) be the third derivative of -h**5/240 + 193*h**4/24 - 37249*h**3/6 + 1063*h**2. Factor y(c).
-(c - 386)**2/4
Let k(h) = 36*h**2 - 55816*h + 51949808. Let z(v) = 11*v**2 - 18606*v + 17316603. Let a(w) = 2*k(w) - 7*z(w). Factor a(p).
-5*(p - 1861)**2
Factor 1969/7*c - 1970/7 + 1/7*c**2.
(c - 1)*(c + 1970)/7
Suppose -7*o = 13 + 8. Let j be 7 - 3*4/(-18)*o. Determine y so that -39*y**4 + 85*y**4 - y**5 + 2*y**j + 2*y**3 - 4*y**2 - 3*y - 42*y**4 = 0.
-3, -1, 0, 1
Solve -2/3*u**2 + 4676/3*u - 2733122/3 = 0.
1169
Let h(y) be the first derivative of y**6/6 + 213*y**5/10 + 1431*y**4/2 + 2809*y**3/6 + 925. Factor h(w).
w**2*(w + 53)**2*(2*w + 1)/2
Let k be (-12)/(-2) - ((0 - 8) + 794). Let r = 783 + k. Let 7/3*p + r*p**2 + 1/3*p**4 + 5/3*p**3 + 2/3 = 0. Calculate p.
-2, -1
Suppose 35 = 11*n - 31. Suppose -n*d = d + d. Let d + 2/5*p - 9/5*p**2 + 7/5*p**3 = 0. Calculate p.
0, 2/7, 1
Let b(w) be the third derivative of -w**5/105 + 173*w**4/21 - 1076*w**2. Solve b(a) = 0.
0, 346
Let b be (2/(-32))/((-12)/(-72) + 1/(-4)). Let m be (-2)/(-12)*36/16. Let b*h - m*h**2 + 9/8 = 0. What is h?
-1, 3
Factor -2368 + 6778*g - g**2 - 3*g**2 - 11596*g + 7190*g.
-4*(g - 592)*(g - 1)
Let k(d) be the first derivative of -3*d**4/16 + d**3/2 + 9*d**2/8 + 1229. What is t in k(t) = 0?
-1, 0, 3
Factor -2120/3 + 12718/9*d - 6356/9*d**2 - 2/9*d**3.
-2*(d - 1)**2*(d + 3180)/9
Factor -336 - 3*h**3 - 440*h + 849*h**2 - 334*h - 11*h**3 - h**3 + 276*h.
-3*(h - 56)*(h - 1)*(5*h + 2)
Let a(r) be the second derivative of r**4/66 - 7*r**3/33 - 18*r**2/11 - 1448*r. Let a(g) = 0. Calculate g.
-2, 9
Suppose -17969 = -4*g - 2*o - 5919, 0 = 4*g - o - 12059. Suppose -14 = g*f - 3021*f. Suppose -f*n**2 + 32/5*n - 6/5*n**3 + 24/5 = 0. Calculate n.
-3, -2/3, 2
Let b(m) be the third derivative of 0*m + 1/900*m**6 + 0 - 32*m**2 - 2/25*m**5 - 192/5*m**3 + 12/5*m**4. Let b(w) = 0. What is w?
12
Let k = -50 - -53. Let d(r) be the first derivative of -8*r**2 + r**3 - 2*r**k + 0*r**3 - r**2 - 16. Let d(g) = 0. Calculate g.
-6, 0
Suppose -814/9*b**3 - 810*b + 506*b**2 + 2*b**4 + 156 = 0. Calculate b.
2/9, 3, 39
Factor 88/5*w**2 + 1152 - 2/5*w**3 - 1248/5*w.
-2*(w - 20)*(w - 12)**2/5
Suppose 14*i = 12*i + 72. Let r be 10 - 6*42/i. Factor 3/2*s + 3/4*s**4 - 3/2*s**r - 3/4*s**2 + 0.
3*s*(s - 2)*(s - 1)*(s + 1)/4
Let z(k) be the first derivative of k**6/12 + 10*k**5 - 51*k**4/2 - 417. Determine f, given that z(f) = 0.
-102, 0, 2
Let v(n) = n**3 + 2*n**2 - n - 1. Let c(g) = g**4 + 38*g**3 + 19*g**2 - 94*g - 65. Let y(l) = 2*c(l) - 22*v(l). Factor y(u).
2*(u - 2)*(u + 1)**2*(u + 27)
Suppose -5*n - 23*w = -20*w + 20, -8 = -2*n + 2*w. Let g be 17/153*(3 + n - -1). Find f such that g*f**5 - 8/3*f + 0 + 2*f**3 - 5/3*f**4 + 4/3*f**2 = 0.
-1, 0, 2
Let d(v) be the third derivative of -44 + v**2 + 8/315*v**7 + 179/18*v**4 + 0*v + 37/30*v**6 - 20/3*v**3 - 88/15*v**5. Solve d(q) = 0 for q.
-30, 1/4, 1
Let m be 135/180 + 0 + 82/88. Let r = -13/11 + m. Factor -r*y**2 - 1/2 - y.
-(y + 1)**2/2
Suppose 43*o + 32 = 59*o. Let v(j) be the second derivative of 18*j - 3*j**o + 9/20*j**5 + 0 + 1/10*j**6 + 1/4*j**4 - 3/2*j**3. What is x in v(x) = 0?
-2, -1, 1
Let n be 3934/(-1967)*-3*1/(-4)*-2. Factor 9/2*b**2 - 17/4*b - 1/4*b**n + 0.
-b*(b - 17)*(b - 1)/4
Let g(o) be the first derivative of o**8/6720 - o**6/120 - o**5/30 - 10*o**3/3 - 3*o**2/2 + 167. Let k(i) be the third derivative of g(i). Factor k(z).
z*(z - 4)*(z + 2)**2/4
Let b be (22 + -19 + (-27)/36)*168/10. Let f(a) be the first derivative of 486/5*a - b*a**2 + 39 - 3/10*a**4 - 34/5*a**3. Factor f(l).
-6*(l - 1)*(l + 9)**2/5
Let w = 1803/5 + -7197/20. Determine u, given that -27/4*u**3 + 21/2 - 39/4*u**2 - w*u**4 + 27/4*u = 0.
-7, -2, -1, 1
Factor 0 + 6*l**3 + 84*l - 181/2*l**2 + 1/2*l**4.
l*(l - 8)*(l - 1)*(l + 21)/2
Let a(j) = 23*j - 434. Let h be a(19). Let r(w) be the second derivative of 1/66*w**4 + 0 + 4/11*w**2 - 17*w + 5/33*w**h. Solve r(c) = 0 for c.
-4, -1
Suppose -2*n + 75 = 5*d, -n = n - 3*d - 35. Factor 125 + 2*x**2 - 22*x + 2*x**2 - 34*x + 16*x - n.
4*(x - 5)**2
Let i(v) be the second derivative of -131 + 21/2*v**2 - 59/12*v**3 - 1/40*v**5 + 3/4*v**4 - v. Solve i(r) = 0 for r.
1, 3, 14
Let 5820/11 + 6/11*y**2 - 1194/11*y = 0. Calculate y.
5, 194
Let z(o) be the first derivative of 0*o + 21/16*o**4 + 1/4*o**3 - 5 + 0*o**2. Solve z(j) = 0 for j.
-1/7, 0
Let v(q) be the third derivative of -7/6*q**4 + 2/15*q**5 + 0*q + 8/3*q**3 + 0 + 92*q**2 + 1/30*q**6. Determine m so that v(m) = 0.
-4, 1
Let z be 1/(-45) - (2/46 + 6270/(-23598)). Solve -2/5*u**3 - 1/5*u**2 + z*u + 0 = 0.
-1, 0, 1/2
Suppose -x - 18*t + 3 = -17*t, 3*t = -x + 5. Factor -18864 - 4*h**2 - x*h + 18861 + 5*h**2.
(h - 3)*(h + 1)
Let o be (740/(-222))/((-125)/180). Let 32/5*q + 0 + 4*q**4 - o*q**3 - 4/5*q**5 - 16/5*q**2 = 0. What is q?
-1, 0, 2
Suppose 0*n - 5*n = 2*g - 10, 0 = -5*n + 2*g - 10. Let r be 2/((-14)/(-4) - 3) + n. Factor 6*j**2 - 3*j**5 + 3*j - 24*j**4 + r*j**4 + 14*j**4.
-3*j*(j - 1)*(j + 1)**3
Let 2*x**3 + 12/5*x**2 + 1/5*x**5 - 12/5*x**4 - 11/5*x + 0 = 0. Calculate x.
-1, 0, 1, 11
Let z = 103 - 75. Let c be 48/364*-1 - (-8)/z. Factor 0 - c*f**2 + 4/13*f.
-2*f*(f - 2)/13
Let v(t) be the third derivative of -t**5/3 - 1075*t**4/24 + 45*t**3 - 97*t**2. Determine d so that v(d) = 0.
-54, 1/4
Let b be ((-12)/(-270)*-96)/((-262)/6943). Factor -320/3 - b*d**2 - 52/15*d**4 + 544/3*d + 464/15*d**3 + 2/15*d**5.
2*(d - 10)**2*(d - 2)**3/15
Let s(x) be the first derivative of x**3/12 - 57*x**2 + 12996*x - 72. De