 0. Calculate j.
-2, 0, 1
Let o(m) be the third derivative of 0 - 4/9*m**3 - 5/18*m**5 - 28*m**2 + 5/9*m**4 + 0*m. Factor o(w).
-2*(5*w - 2)**2/3
Let u = 181 + -175. Suppose -u*r = r - 21. Let 5/3*v**r + 0 + 0*v + 2/3*v**2 = 0. What is v?
-2/5, 0
Let r(a) be the third derivative of 0 - a**2 - 1/15*a**5 - 7/6*a**4 + 0*a - 20/3*a**3. Let r(d) = 0. What is d?
-5, -2
Let f = -127 + 77. Let a be ((-10)/(-4) + 0)*(-8)/f. Factor 2/5*c**3 + 0 + 2/5*c**2 - a*c - 2/5*c**4.
-2*c*(c - 1)**2*(c + 1)/5
Let k(j) be the second derivative of j**5/80 + j**4/16 - 2*j**3/3 + 3*j**2/2 - 67*j - 3. Solve k(m) = 0 for m.
-6, 1, 2
Suppose 59*c = 47*c. Let u(h) be the second derivative of 0 + 1/70*h**5 + 1/210*h**6 + 0*h**2 + 1/84*h**4 - 7*h + c*h**3. Factor u(v).
v**2*(v + 1)**2/7
Factor 8/9 + 882*o**2 - 56*o.
2*(63*o - 2)**2/9
Let j(g) be the second derivative of g**5/120 + 23*g**4/8 + 3605*g**3/12 + 10609*g**2/12 + 440*g. Suppose j(y) = 0. What is y?
-103, -1
Let f = 47 - 47. Let n(s) be the third derivative of 2/3*s**3 + 1/12*s**4 + s**2 + 0*s - 1/30*s**5 + f. Factor n(c).
-2*(c - 2)*(c + 1)
Let s be (-3)/(-2) + (-244)/(-8). What is g in 2 - 5 - s*g - 13 + 20*g**2 = 0?
-2/5, 2
Let h(j) be the first derivative of -361*j**3 + 798*j**2 - 588*j - 636. Find n, given that h(n) = 0.
14/19
Factor -224/17*n + 128/17*n**2 + 128/17 - 8/17*n**4 - 16/17*n**3 + 2/17*n**5.
2*(n - 2)**4*(n + 4)/17
Factor 220*u**2 - 191*u**3 + 376*u**4 - 19*u**3 - 185*u - 311*u**4 + 45 + 70*u**2 - 5*u**5.
-5*(u - 9)*(u - 1)**4
Let r(o) be the first derivative of -5*o**3/3 - 45*o**2/2 - 40*o - 188. Factor r(z).
-5*(z + 1)*(z + 8)
Factor -m**2 + 2*m**2 - 138*m - 15 + 133*m + 9.
(m - 6)*(m + 1)
Let r(o) be the second derivative of -5/3*o**3 + 21*o - 35/8*o**2 - 5/48*o**4 + 0. Determine l so that r(l) = 0.
-7, -1
Suppose -5*k - 2 = -3*b - 14, 1 = k - 2*b. Factor -4/5*z + 9/5*z**2 + 0 - 2/5*z**k.
-z*(z - 4)*(2*z - 1)/5
Let z(r) be the third derivative of 1/30*r**5 + 0*r + 0 + 22*r**2 + 2*r**3 + 7/12*r**4. Solve z(k) = 0 for k.
-6, -1
Let b = 25 - 46. Let g be 22/b - 20/30 - -2. Determine q so that 4/7*q - 2/7 - g*q**2 = 0.
1
Let c = -129 - -134. Let a(o) be the second derivative of -c*o + 1/3*o**2 + 0 - 5/9*o**3 + 1/6*o**5 - 4/45*o**6 + 1/6*o**4. Determine v, given that a(v) = 0.
-1, 1/4, 1
Let d(z) be the second derivative of -1/40*z**6 - 5/8*z**3 + 3/80*z**5 + 3/4*z**2 + 0 + 2*z + 3/16*z**4. Suppose d(j) = 0. Calculate j.
-2, 1
Suppose 3*c = -4*i + 14, -5*c - 2*i = -0*c. Let o be (c + 4)*(-3)/(-2) - 1. Let -3/5*j - 1/5*j**3 + 1/5 + 3/5*j**o = 0. What is j?
1
Let i be 4*9/(-189)*14/(-12). Let 4/9*d**3 + 8/9*d**2 - 2/9*d - 4/9 - 4/9*d**4 - i*d**5 = 0. Calculate d.
-2, -1, 1
Let q = -187 - -356. Let y = q + -164. Determine o, given that 2/9*o**y + 0*o**2 + 0*o + 0*o**4 - 2/9*o**3 + 0 = 0.
-1, 0, 1
Let k(z) be the first derivative of -z**2 - 8 - 1/100*z**5 + 1/20*z**4 + 3/10*z**3 + 0*z. Let d(j) be the second derivative of k(j). Factor d(h).
-3*(h - 3)*(h + 1)/5
Let f(i) be the third derivative of i**6/900 + 2*i**5/75 + 4*i**4/15 - 7*i**3/3 - 2*i**2. Let b(m) be the first derivative of f(m). Factor b(a).
2*(a + 4)**2/5
Factor -2/11*k**3 + 18/11*k + 0 - 16/11*k**2.
-2*k*(k - 1)*(k + 9)/11
Let o(v) be the first derivative of -1/36*v**6 + 0*v**2 + 2/15*v**5 + 1/3*v**4 + 0*v + 1 + 5/3*v**3. Let r(s) be the third derivative of o(s). Factor r(q).
-2*(q - 2)*(5*q + 2)
Let f be 7 - 3*1/3. Let v be 4/f*1/3. Suppose 0 + 0*i + 0*i**3 - v*i**5 - 2/9*i**4 + 0*i**2 = 0. Calculate i.
-1, 0
Suppose -65*a = -66*a - 2*z - 11, -3*z = a + 18. Find j such that 12*j**2 + 0 + 15/2*j**a - 6*j = 0.
-2, 0, 2/5
Let d(o) be the second derivative of -o**8/420 + 4*o**7/105 - 8*o**6/45 + 2*o**3/3 + 39*o. Let m(w) be the second derivative of d(w). Let m(q) = 0. What is q?
0, 4
Let y(r) be the third derivative of 0 + 0*r**4 + 6*r**2 + 0*r**3 + 0*r**5 + 1/252*r**8 + 0*r + 1/45*r**6 + 2/105*r**7. Factor y(t).
4*t**3*(t + 1)*(t + 2)/3
Let z = 577/748 + -4/187. Let z*x**3 + 3/4 + 9/4*x + 9/4*x**2 = 0. Calculate x.
-1
Let c be (-56)/(-48) + (-1)/6. Let x be -2*((-4 - -3) + c/4). Determine n, given that -x + 3*n**2 + 0*n + 0*n**3 - 3/2*n**4 = 0.
-1, 1
Suppose -6 = h + g - 13, 2*g = 2*h + 10. Suppose -1/3*y**4 - 4*y**2 - h - 2*y**3 - 10/3*y = 0. Calculate y.
-3, -1
Suppose -3*f + 0 = u - 8, 0 = -5*f + u + 16. Suppose -f = i - 5. Factor 0*x - 1/5*x**i + 1/5.
-(x - 1)*(x + 1)/5
Let y be 2 + -3 + (-1 - -9). Let p(x) be the first derivative of -x**2 + 3*x - y + 1/9*x**3. Factor p(u).
(u - 3)**2/3
Let v(s) = s**2 + s + 4. Let g be v(0). Let r be (1 + 6)/1*18/147. Factor 2/7*o + r*o**3 + 6/7*o**2 + 2/7*o**g + 0.
2*o*(o + 1)**3/7
Let m(b) be the third derivative of -b**7/735 + b**6/140 - b**4/21 - 2*b**2 + 2. Suppose m(n) = 0. Calculate n.
-1, 0, 2
Suppose 8*q = -4*q + 24. Suppose -2*n + 4 = -4*m, -m - 2*n + q = -2. Determine y, given that 1/5*y**5 + 0*y**2 + 0*y + 4/5*y**3 - 4/5*y**4 + m = 0.
0, 2
Let y(w) be the second derivative of -w**7/147 - 13*w**6/105 - 24*w**5/35 - 6*w**4/7 + 159*w. Factor y(c).
-2*c**2*(c + 1)*(c + 6)**2/7
Suppose -12*i = -14*i - 4. Let f be (i/(-14))/(12/28). Let f*x**2 + 0 + 2/3*x = 0. What is x?
-2, 0
Let n = 2027 + -2025. Factor 2 + 0*t + 1/2*t**3 - 3/2*t**n.
(t - 2)**2*(t + 1)/2
Let j(d) be the first derivative of d**4/3 - 332*d**3/9 + 1120*d**2 + 2352*d + 249. Factor j(o).
4*(o - 42)**2*(o + 1)/3
Let v(m) = 11*m + 82. Let k be v(-7). Let u(n) be the first derivative of -1/5*n**k + n**2 + 1 + 0*n - 5/3*n**3 + n**4. Solve u(d) = 0.
0, 1, 2
Let b(u) = 3*u**3 - 5*u + 6. Let c(v) = v**3 - v + 2. Let y(l) = -2*b(l) + 4*c(l). Factor y(x).
-2*(x - 1)**2*(x + 2)
Let f = 59 + -192. Let x = f - -1465/11. Factor 0 + x*q**2 - 2/11*q.
2*q*(q - 1)/11
Factor 2/3*f**4 + 0 - 2/3*f**2 - 1/3*f + 1/3*f**5 + 0*f**3.
f*(f - 1)*(f + 1)**3/3
Let -8*h**2 - h + 5*h**2 - 8 + 2*h - 4*h**3 + 11*h**2 + 3*h = 0. Calculate h.
-1, 1, 2
Let i(t) be the second derivative of -t**7/4200 + t**6/200 - t**5/40 + 29*t**4/12 - 22*t. Let z(k) be the third derivative of i(k). Factor z(u).
-3*(u - 5)*(u - 1)/5
Let z(f) be the third derivative of -f**5/140 + 47*f**4/56 + 185*f**2. Factor z(y).
-3*y*(y - 47)/7
Suppose -6*r = -248 - 706. Factor 40*s**4 + 122*s**4 + 24*s + r*s**3 + 108*s**2 + 2 + 57*s**3.
2*(3*s + 1)**4
Let m(b) be the third derivative of -5*b**8/336 + b**7/14 - b**5/3 - 3*b**2 + 26*b. Factor m(d).
-5*d**2*(d - 2)**2*(d + 1)
Let i = 0 + 5. Suppose z + 3*c - 6 = 12, 5*c = i*z + 10. Factor r + 0*r**3 - r**z + 0*r.
-r*(r - 1)*(r + 1)
Factor -6*u - 3/2*u**2 - 6.
-3*(u + 2)**2/2
Let m(u) = -u**3 + u**2 + u + 2. Let r(z) = 12*z**3 - 44*z**2 + 7*z - 14. Let k(i) = -21*m(i) - 3*r(i). Factor k(o).
-3*o*(o - 7)*(5*o - 2)
Let f(u) be the second derivative of -u**5/110 - u**4/11 + u + 4. Factor f(w).
-2*w**2*(w + 6)/11
Let q be (-7)/((-147)/(-28)) - 10/(-6). Let d(u) be the second derivative of 0 - q*u**3 + u - 3/4*u**2 - 1/24*u**4. Factor d(w).
-(w + 1)*(w + 3)/2
Let p(o) = -2*o**4 - 11*o**3 + 27*o**2. Let c(d) = -5*d**4 - 35*d**3 + 80*d**2. Let w(l) = -3*c(l) + 10*p(l). Find s, given that w(s) = 0.
-3, 0, 2
Let k(y) be the first derivative of 2*y**6/3 - 2*y**5 + 2*y**4 - 2*y**3/3 + 32. Find q such that k(q) = 0.
0, 1/2, 1
Factor -16 - 24*p - 13*p**2 - 1/4*p**4 - 3*p**3.
-(p + 2)**2*(p + 4)**2/4
Factor -52/3*r + 2/9*r**2 + 338.
2*(r - 39)**2/9
Let i(y) be the first derivative of 10/21*y**3 + 10 - 1/14*y**4 - 18/7*y - 3/7*y**2. Let i(f) = 0. Calculate f.
-1, 3
Let l(a) be the second derivative of 8*a - 6/5*a**5 + 5/6*a**4 - 9*a**2 + 0 + 4*a**3 + 4/15*a**6. Solve l(h) = 0 for h.
-1, 1, 3/2
Let w(v) = v**3 - v**2 - 2*v + 2. Let u(c) = 28*c**4 - 276*c**3 + 312*c**2 - 32*c - 32. Let h(m) = u(m) + 16*w(m). Let h(a) = 0. What is a?
0, 2/7, 1, 8
Let x(h) = -2*h**2 + 0*h - 26*h - 7*h - 16. Let p be x(-16). Factor 1/4*u**3 + 0*u**2 + 1/4*u**5 + p*u + 0 + 1/2*u**4.
u**3*(u + 1)**2/4
Let u(z) be the first derivative of -2*z**6/9 - 292*z**5/15 - 2074*z**4/3 - 113288*z**3/9 - 363562*z**2/3 - 1670420*z/3 + 908. Factor u(d).
-4*(d + 5)*(d + 17)**4/3
Let i(l) be the third derivative of 0*l**5 + 1/96*l**4 + 0 + 0*l - 1/480*l**6 - 20*l**2 - 1/1680*l**7 + 1/48*l**3. Factor i(q).
-(q - 1)*(q + 1)**3/8
Let y(q) = -q - 4. Let c be y(3). Let o(p) = 6*p**3 - 31*p**2 - 25*p + 101. Le