**5 + 8/3*z - 22/3*z**4 - 8/3*z**2 = 0 for z.
-1, -1/2, 0, 2/7, 2
Let -1513/3*k + 758*k**2 + 84 - 3*k**3 = 0. What is k?
1/3, 252
Let z(b) be the second derivative of -96*b**2 - 1/10*b**6 - 48*b**3 - 2*b - 7 - 9/5*b**5 - 13*b**4. Solve z(x) = 0.
-4, -2
Let d(i) be the first derivative of -i**4/6 - 32*i**3/3 - 15*i**2 + 188*i/3 + 3261. Factor d(k).
-2*(k - 1)*(k + 2)*(k + 47)/3
Let s(m) be the second derivative of -m**6/30 + 5*m**5/4 - 199*m**4/12 + 141*m**3/2 + 324*m**2 + 7*m - 447. Factor s(c).
-(c - 9)**2*(c - 8)*(c + 1)
Factor -250*h**2 + 5*h - 24*h**3 + 19*h**3 - 222 + 472.
-5*(h - 1)*(h + 1)*(h + 50)
Let j(r) be the first derivative of -r**7/140 - 11*r**6/180 + r**5/15 + 73*r**3 + 182. Let s(o) be the third derivative of j(o). Suppose s(f) = 0. What is f?
-4, 0, 1/3
Let b(r) = 8*r**3 + 7310*r**2 + 1652553*r + 824464. Let x(m) = -12*m**3 - 10968*m**2 - 2478829*m - 1236696. Let o(n) = -11*b(n) - 7*x(n). Factor o(l).
-2*(l + 454)**2*(2*l + 1)
Let i(w) be the first derivative of -100*w - 1/12*w**3 - 5*w**2 + 28. Determine b so that i(b) = 0.
-20
Factor 202 + 305/3*j + 1/3*j**2.
(j + 2)*(j + 303)/3
Let i(v) be the third derivative of 29/36*v**4 - 2/3*v**3 + 0 - 1/45*v**6 - 19/90*v**5 + 3*v**2 - 5*v. Let i(r) = 0. Calculate r.
-6, 1/4, 1
Let y be 10*(-36)/(-45) + (-1900)/247. Solve -y*p + 2*p**2 - 6/13 - 16/13*p**3 = 0.
-3/8, 1
Let g be (108/48)/(3/20). Let v be ((-40)/g - 0)*-75. Determine c, given that 9*c**3 - 85*c**2 + v*c + 54 + c**3 - 134 = 0.
1/2, 4
Let y = 39299/50 - 1565/2. Let i = 423/100 - y. Factor 3/4*t**2 + 0 - i*t.
3*t*(t - 1)/4
Let q(t) be the second derivative of -t**7/147 + 62*t**6/35 - 7473*t**5/70 - 54086*t**4/21 - 152592*t**3/7 - 627264*t**2/7 - 5*t + 219. Factor q(s).
-2*(s - 99)**2*(s + 4)**3/7
Let y = 1668815 + -1668813. Find s, given that 16*s + 9*s**y + 0 + 1/2*s**3 = 0.
-16, -2, 0
Let x be 14/(-4) + 19/(5 + -4) + -14. Suppose 3/2*c**4 + 3/2*c**3 + 0 - 3/2*c**2 - x*c = 0. Calculate c.
-1, 0, 1
Let g(n) be the first derivative of -n**4/7 - 8*n**3/7 + 128*n/7 - 6079. Solve g(s) = 0.
-4, 2
Let d(k) = -k**2 - 60*k + 120*k - 26 - 77*k. Let h be d(-15). Find v such that -78 + 78 + h*v**3 - 10*v**4 - 6*v**5 = 0.
-2, 0, 1/3
Let w(y) = -y**2 + 7*y + 1. Let q be w(4). Suppose 3*o**5 - 8*o**4 + q*o**4 + 4*o**4 - 3*o**3 - 9*o**2 = 0. Calculate o.
-3, -1, 0, 1
Let n be 3 + 1 + 5 + 0. Suppose 0 = 3*p - n - 0. Solve 1 - p*t**2 + 18 - 8*t**3 + 24*t - 1 - t**2 + 2*t**4 = 0.
-1, 3
What is b in 3*b**3 - 6920*b - 11*b**2 - 6912*b - 7*b**2 + 13832*b = 0?
0, 6
Let d(t) be the first derivative of -32*t**2 + 16/3*t**3 + t - 1/3*t**4 + 18. Let a(q) be the first derivative of d(q). Factor a(y).
-4*(y - 4)**2
Let n be (104/832)/(3 + 0 - (-5)/(-2)). Factor 0 - n*f**2 - 7/4*f.
-f*(f + 7)/4
Suppose 0 = 5*n - 4*o + 45, 5*o - 30 = -0*n + n. Let j = -3 - n. Determine p so that -20*p**3 - 6*p**j + 23*p**3 - 3*p + 3 + 3 = 0.
-1, 1, 2
What is s in -3/7*s**5 - 96/7*s**2 + 0 - 18*s**3 + 39/7*s**4 + 96*s = 0?
-2, 0, 4, 7
Let m be (-4)/(-14)*(20 + -6). Suppose 4*d + 3*l - 3 = 70, 0 = -d - m*l + 28. Find n, given that 2*n**2 - 256 - 98*n**2 - n**4 + 27*n - 283*n - d*n**3 = 0.
-4
Let t = -42 - -53. Suppose 3*b - 12 = 0, b = l + 3*b - t. Factor 29*c**2 - 12*c**2 + 12*c**3 + 12*c + c**2 + l + 3*c**4.
3*(c + 1)**4
Let s(v) = -63*v**4 + 44*v**3 + 27*v**2. Let z(h) = -24*h**4 + 15*h**3 + 9*h**2. Let l(m) = 3*s(m) - 8*z(m). Factor l(i).
3*i**2*(i + 1)*(i + 3)
Let b = -2234 - -8937/4. Let o(j) be the second derivative of -5/3*j**3 + b*j**5 - 8*j + 0 + 0*j**2 - 5/12*j**4. What is g in o(g) = 0?
-1, 0, 2
Let n(r) be the first derivative of -5*r**3/3 - 25*r**2 + 55*r + 797. Let n(f) = 0. Calculate f.
-11, 1
Let j(n) be the second derivative of n**4/8 - 57*n**3/4 - 177*n**2/2 + 354*n + 3. Factor j(w).
3*(w - 59)*(w + 2)/2
Suppose -19*b + 20*b - 60 = 0. Let p be (9/30)/(6/b). Factor -1/3*m**4 - 2/3*m + 0 + 0*m**p + m**2.
-m*(m - 1)**2*(m + 2)/3
Let h = -42220 - -42222. Let 0 - z + 5/2*z**h - 3/2*z**3 = 0. What is z?
0, 2/3, 1
Let s = 188 + -182. Let m be 470/130 + (3 - s). Solve 10/13*p + 2/13*p**2 + m = 0.
-4, -1
Let i = 786 + -781. Suppose 9*u - 14*u + 25 = 3*g, 4*u = -i*g + 33. Factor -1/3*y**u - 4/3 - 5/3*y.
-(y + 1)*(y + 4)/3
Let u = 611158 + -6722736/11. Factor -10/11*o - 4/11 + 2/11*o**3 + u*o**4 - 6/11*o**2.
2*(o - 2)*(o + 1)**3/11
Let v(s) be the second derivative of -3*s**5/140 + s**4/28 + 23*s**3/7 + 120*s**2/7 - 2219*s. What is g in v(g) = 0?
-5, -2, 8
Suppose 53*j = 39*j + 98. Let p(b) be the third derivative of 0 + 0*b + 0*b**4 - 1/60*b**5 - 1/60*b**6 + 0*b**3 - 1/210*b**j + 2*b**2. Factor p(k).
-k**2*(k + 1)**2
Let f(d) be the second derivative of d**4/24 - 25*d**3/4 - 832*d + 2. Factor f(k).
k*(k - 75)/2
Factor 24*c**2 + 0*c + 3/7*c**3 + 0.
3*c**2*(c + 56)/7
Let s(w) be the third derivative of 49*w**6/120 - 4907*w**5/60 + 695*w**4/3 - 264*w**3 + w**2 - 32*w - 37. What is p in s(p) = 0?
4/7, 99
Let x be ((-7203)/(-30870))/((-2)/(-42)) + (-2)/5. Determine k so that 0 + x*k - 1/2*k**2 = 0.
0, 9
Suppose 0 = 5*r + 15, r = -5*b + 50 - 8. Suppose b*h = -7*h. Solve 1/4*g**4 + h*g + 3/2*g**3 + 0*g**2 + 0 = 0 for g.
-6, 0
Let f = -55 - -62. Suppose f*g - 122 - 382 = 0. Factor -4*m**3 + 144 + 84*m**2 - 96*m + g*m**2 - 200*m**2.
-4*(m - 1)*(m + 6)**2
Find z such that -2792*z - 1100*z**2 + 2221*z**2 - 1123*z**2 = 0.
-1396, 0
Let d(a) be the third derivative of 0 + 0*a - 131*a**2 - 1/44*a**4 + 2/33*a**3 - 1/66*a**5. Factor d(v).
-2*(v + 1)*(5*v - 2)/11
Let k be (-14328)/1495296*-32 + (-8)/236. Determine m so that -8/11 - 4/11*m**3 + 10/11*m - 1/11*m**4 + k*m**2 = 0.
-4, -2, 1
Let y(u) be the first derivative of u**4/36 + 5*u**3/6 + 7*u**2/3 + 146*u + 76. Let t(v) be the first derivative of y(v). Factor t(j).
(j + 1)*(j + 14)/3
Let d = 579034 - 579030. Determine s so that -1/2*s**5 + 0 + 0*s**2 + 3*s**3 - 1/2*s**d + 0*s = 0.
-3, 0, 2
Let q be 0 + 4 + 0 - 0. Suppose -q*g + 40 = 4. What is k in 28*k + g - 12*k**2 + 4*k + k + 0*k = 0?
-1/4, 3
Let j(w) be the third derivative of -w**5/360 + 625*w**4/72 - 1249*w**3/36 - 3397*w**2 - w. Factor j(x).
-(x - 1249)*(x - 1)/6
Let i = -770562/2933 + 1839/7. Let m = 859/2933 + i. Solve -m + 4/7*j**2 + 0*j**3 + 0*j - 2/7*j**4 = 0 for j.
-1, 1
Let i be (-14)/196*-2 + 62/6. Let t = -28/3 + i. Factor -4/7 + 0*l + t*l**2 - 4/7*l**4 + 0*l**3.
-4*(l - 1)**2*(l + 1)**2/7
Factor 14*w**3 - 3*w**4 - 56*w - 3*w**2 + 25*w**4 - 21*w**4 + 0*w**2 - w**2.
w*(w - 2)*(w + 2)*(w + 14)
Let z(s) be the first derivative of s**3/2 + 9*s**2 - 399*s/2 + 2175. Factor z(u).
3*(u - 7)*(u + 19)/2
Let b(k) be the first derivative of -k**6/39 - 38*k**5/65 - 9*k**4/13 + 494. Let b(c) = 0. Calculate c.
-18, -1, 0
Solve -89/7*q + 1/7*q**2 - 372/7 = 0 for q.
-4, 93
Suppose 2*t = -5*u + 167, 2*u + 12*t = 17*t + 90. Suppose u*n + 11 - 151 = 0. Find z, given that -2 + 14/3*z - 4/3*z**2 - 4*z**3 + 10/3*z**n - 2/3*z**5 = 0.
-1, 1, 3
Suppose 207 = -2686*o + 2695*o. Let l(c) be the second derivative of 1/3*c**4 + 98*c**2 + 28/3*c**3 + o*c + 0. Find t such that l(t) = 0.
-7
Let q(i) = i**3 - 18*i**2 - 22*i + 60. Let p be q(19). Factor 9*t**5 - 4*t**5 - 2*t**5 - 66*t**2 + 24*t - 24*t**4 + 63*t**p.
3*t*(t - 4)*(t - 2)*(t - 1)**2
Let n(q) be the first derivative of 4*q**5/25 - 83*q**4/5 - 344*q**3/15 + 336*q**2/5 - 3359. Solve n(m) = 0.
-2, 0, 1, 84
Let s be -4 - 3 - (5 - 4)*-7. Let n(x) be the second derivative of s + 0*x**2 + 5/24*x**3 + 1/8*x**4 + 22*x + 1/80*x**5. Factor n(p).
p*(p + 1)*(p + 5)/4
Let o(c) be the first derivative of c**9/1512 + c**8/168 + c**7/140 - c**6/36 - c**5/15 + 10*c**3 + 178. Let t(w) be the third derivative of o(w). Factor t(m).
2*m*(m - 1)*(m + 1)**2*(m + 4)
Let k(t) = -t**3 - 3*t**2 - t - 6. Let x be k(-6). What is l in x + 29*l**3 - 113*l + 39*l**2 + l**3 - 67*l + 3*l**4 = 0?
-6, 1
Suppose -m - 62 = -4*i, 28 = 2*i + 4*m - 3*m. Factor -418*x**2 + 66*x + 421*x**2 + 48 + i.
3*(x + 1)*(x + 21)
Let d(s) = -8*s + 14. Let y be d(6). Let p = -32 - y. Suppose 4*g**4 + 3*g + g**2 - 6*g + p*g - 5*g**4 + g**3 = 0. Calculate g.
-1, 0, 1
Let v(w) = w - 93. Let y be v(96). Let s(h) be the first derivative of 3/2*h**4 - y*h + 0*h**2 - 9/5*h**5 - h**6 - 7 + 4*h**3. Suppose s(n) = 0. Calculate n.
-1, 1/2, 1
Let b(v) be the second derivative of v**7/84 - 1019*v**