2.
-2*(g - 8)*(g - 1)/3
Let o(j) be the third derivative of 0*j**3 + 0*j + 0*j**4 - 1/40*j**6 + 0 + 1/20*j**5 + 12*j**2. Suppose o(m) = 0. Calculate m.
0, 1
Factor 224357 - 1384*s + 15075 - s**2 + 3*s**2.
2*(s - 346)**2
Let h(f) be the third derivative of 7/120*f**5 - 1/12*f**4 + 0*f - f**3 - 1/120*f**6 - 13*f**2 + 0. Let s(i) be the first derivative of h(i). Factor s(x).
-(x - 2)*(3*x - 1)
Let s(d) be the first derivative of -d**4/12 - 383*d**3 - 1320201*d**2/2 - 505636983*d - 921. Find l, given that s(l) = 0.
-1149
Let b(d) be the first derivative of 2/27*d**3 - 2 + 0*d**2 + 7/90*d**5 - 22*d + 1/6*d**4. Let t(v) be the first derivative of b(v). Factor t(o).
2*o*(o + 1)*(7*o + 2)/9
Let q(n) = n**3 - 4*n + 3. Let w be q(2). Let t(d) = 71*d + 5043. Let a be t(-71). Factor 4/7*r**a + 2/7*r**4 + 6/7*r**w + 0*r + 0.
2*r**2*(r + 1)*(r + 2)/7
Let p(d) = 23*d - 226. Let r be p(10). Let -3*o**3 + 4626*o - 2*o**3 + 10 + r*o**2 - 4611*o - 4*o**2 = 0. Calculate o.
-1, 2
Let j = 65795 + -131587/2. Suppose -21/2*y - j*y**4 - 27/2*y**2 - 3 - 15/2*y**3 = 0. What is y?
-2, -1
Let j(k) = k**3 + 21*k**2 + 2*k + 46. Let y be j(-21). Find n, given that -6*n - 97*n**2 - 92*n**2 - y + 280*n**2 - 93*n**2 = 0.
-2, -1
Let i(r) be the third derivative of r**6/660 - 8*r**5/55 + 175*r**4/44 + 1250*r**3/33 - 2*r**2 - 341. What is p in i(p) = 0?
-2, 25
Suppose -24*m + 223 = -19*m + 2*f, -4*f + 231 = 5*m. Suppose -32 = -51*i + m*i. Factor 0*z**2 + 1/8*z**3 + 0 + 0*z - 1/4*z**5 + 1/8*z**i.
-z**3*(z - 1)*(2*z + 1)/8
Let z(w) be the first derivative of -2*w**3 + 11 + 16*w - 1/5*w**5 + 18*w**2 - 5/3*w**4. Let x(y) be the first derivative of z(y). Factor x(p).
-4*(p - 1)*(p + 3)**2
Suppose -295137*n - 295103*n - n**2 + 730 + 590099*n = 0. Calculate n.
-146, 5
Find s, given that 1/2*s - 1/4*s**2 + 0 + 1/4*s**5 - 3/4*s**3 + 1/4*s**4 = 0.
-2, -1, 0, 1
What is o in -23/3*o**3 - 99*o**2 - 351*o + 1/3*o**4 - 396 = 0?
-4, -3, 33
Let q(c) be the first derivative of -c**4/20 + c**3/15 + 3*c**2 - 706. Factor q(m).
-m*(m - 6)*(m + 5)/5
Let k(l) be the first derivative of l**6/8 - 33*l**5/20 - 27*l**4/16 + 99*l**3/4 - 977. Solve k(y) = 0.
-3, 0, 3, 11
Let i(r) be the second derivative of 172*r + 25/11*r**2 + 0 + 8/11*r**3 - 1/66*r**4. What is w in i(w) = 0?
-1, 25
Factor -2026/15*h - 2024/15 - 2/15*h**2.
-2*(h + 1)*(h + 1012)/15
Suppose -12 = -4*z - 2*z. Factor -9 + 33 + 10*c**z + 32 - 8*c**2 + 32*c.
2*(c + 2)*(c + 14)
Let j = 12765/4 - 3190. Let n(d) be the second derivative of 0*d**2 + j*d**4 + 0 + 17*d - 5/3*d**3 + 5/4*d**5. What is i in n(i) = 0?
-1, 0, 2/5
Let m(n) be the third derivative of -5*n**8/1848 - 58*n**7/1155 + 13*n**6/220 + 82*n**5/165 - 47*n**4/33 + 16*n**3/11 + 163*n**2. Suppose m(y) = 0. Calculate y.
-12, -2, 2/5, 1
Let i(q) be the first derivative of 7*q**6/216 + 17*q**5/4 - 55*q**4/9 - 91*q**3 - 73. Let w(r) be the third derivative of i(r). Factor w(v).
5*(v + 44)*(7*v - 2)/3
Let n(f) be the second derivative of -3*f**5/160 - 13*f**4/32 - 2*f**3 - 15*f**2/4 - 33*f. Let n(g) = 0. Calculate g.
-10, -2, -1
Let t be 15/22 - (-62)/(-341). Suppose 4 = 5*v + 3*j, 3*v + 5*j - j = -2. Solve 0 + y + t*y**4 - y**3 - 1/2*y**v = 0.
-1, 0, 1, 2
Let d(v) = -v**3 + 22*v**2 + 16*v - 65. Let x be d(22). Let i = 287 - x. Let 0*p**4 + 2/11*p**5 - 4/11*p**3 + 2/11*p + i + 0*p**2 = 0. What is p?
-1, 0, 1
Let f = 877 + -869. Let c be ((-1)/6)/(-9 + f)*44. Find i such that -2/3*i**5 + 28/3*i**2 + 2 - 2/3*i**4 + 4*i**3 + c*i = 0.
-1, 3
Let r be (-200)/(-35) - (-32)/112. Suppose 0 = -r*p + 2*p + 4, l - 4*p = -4. Let l + 4/3*j + 16/3*j**3 - 14/3*j**2 - 2*j**4 = 0. What is j?
0, 2/3, 1
What is f in 6646658/5 - 7292/5*f + 2/5*f**2 = 0?
1823
Let b(u) be the second derivative of u**7/84 - u**6/15 - 9*u**5/20 - 5*u**4/6 - 7*u**3/12 + 739*u. Factor b(r).
r*(r - 7)*(r + 1)**3/2
Let x(u) = 3*u**5 - 4*u**4 + 19*u**3 + 40*u**2 + 29*u - 5. Let c(b) = 2*b**5 - 2*b**4 + 10*b**3 + 20*b**2 + 15*b - 3. Let j(t) = 10*c(t) - 6*x(t). Factor j(y).
2*y*(y - 3)*(y + 1)*(y + 2)**2
Find d such that 1350/7 + 2/7*d**3 + 270/7*d - 54/7*d**2 = 0.
-3, 15
Let j(t) be the third derivative of 1/60*t**5 + 0*t - t**2 - 40 + 2*t**3 - 13/24*t**4. Suppose j(r) = 0. Calculate r.
1, 12
Let r = 9911 + -9911. Solve 5/6*g**2 + r + 5*g = 0 for g.
-6, 0
Suppose 33*p - 1139 + 1073 = 0. Factor 24*i + 3/2*i**3 - 51/2*i**p + 0.
3*i*(i - 16)*(i - 1)/2
Let t = 143758 + -143758. Factor 1/2*v**3 + t*v**2 + 0 - 9/2*v.
v*(v - 3)*(v + 3)/2
Factor 0 + 2233/2*w - 1/2*w**2.
-w*(w - 2233)/2
Let c(p) be the third derivative of 5/14*p**4 + 1/84*p**6 + 0*p - 9/70*p**5 + 0 - 8/21*p**3 + 185*p**2. Determine t, given that c(t) = 0.
2/5, 1, 4
Suppose 0 = 2*d - 4*a - 72, 10*a = 2*d + 12*a - 108. Let y(l) be the first derivative of 36*l**2 + 9*l**3 + 3/4*l**4 + d*l + 12. Determine o so that y(o) = 0.
-4, -1
Let u(i) be the second derivative of -i**6/240 - i**5/80 + 3*i**4/8 + i**3/24 - 35*i**2/16 - 2503*i. Let u(q) = 0. What is q?
-7, -1, 1, 5
Let q(r) be the second derivative of -6*r**2 + 1/360*r**6 + 0*r**4 - 1/45*r**5 + 0*r**3 + 8*r + 0. Let c(m) be the first derivative of q(m). Factor c(d).
d**2*(d - 4)/3
Let z = -8760 + 96376/11. Find i such that -z + 28/11*i - 6/11*i**2 = 0.
2/3, 4
Let t(w) be the first derivative of -42 + 0*w**2 - 1/2*w**4 + 0*w + 14/3*w**3. Solve t(f) = 0 for f.
0, 7
Factor -819433*z - 99850773 - 111262*z - 221350*z - 3912*z**2 - 4*z**3 - 123267*z - 38733131.
-4*(z + 326)**3
Let n(h) be the third derivative of h**6/420 - 11*h**5/14 - h**4/84 + 55*h**3/7 - 2*h**2 + 28*h + 24. Factor n(w).
2*(w - 165)*(w - 1)*(w + 1)/7
Let x(c) = 12*c**2 + 1650*c + 1563. Let q(k) = 3*k**2 + 414*k + 391. Let w(b) = 15*q(b) - 4*x(b). Suppose w(n) = 0. Calculate n.
-129, -1
Let b(g) = g**3 + 3*g**2 - 4*g + 3. Let c be b(-4). Suppose -13*n + c*n + 20 = 0. Factor 0*o**n + 9*o**2 + 10*o + 3*o**3 - 4*o.
3*o*(o + 1)*(o + 2)
Let x(m) = 4*m**3 - 12*m**2 + 16*m + 4. Let o be -1 - 2/(-3)*-3. Let q(y) = -4*y**3 + 13*y**2 - 16*y - 3. Let z(i) = o*x(i) - 4*q(i). Factor z(n).
4*n*(n - 2)**2
Suppose 3*c - 5*d + 3*d = -22, 27 = -4*c + 5*d. Let g be (-6)/1*2*2/c. Suppose -3*v**2 + 0 + 18*v**3 + 0 - 19*v**g = 0. What is v?
-3, 0
Suppose 8 = 3*j - j. Suppose -3*u - 1 = j*s - 28, 5*s + u = 20. Determine i so that 6 + 21*i**3 + 3*i + s*i**5 - 42*i**3 - 12*i**2 + 6*i**4 + 15*i**3 = 0.
-2, -1, 1
Let d(q) be the third derivative of 3*q**6/40 + 107*q**5/10 - 145*q**4/8 - 36*q**3 + 273*q**2. Find f such that d(f) = 0.
-72, -1/3, 1
Let t(g) be the second derivative of 2/15*g**3 - 1/15*g**4 + 1/150*g**6 - 2 - 16*g + 0*g**2 - 1/100*g**5. Determine c so that t(c) = 0.
-2, 0, 1, 2
Let l = 2236 - 55894/25. Let t(v) be the first derivative of -l*v**5 + 0*v + 10 - 12/5*v**3 + 27/10*v**2 - 33/20*v**4. Determine p so that t(p) = 0.
-3, 0, 1/2
Let d be (((-3)/5)/(-21 - -20))/(222/185). What is i in -d*i**2 - 2*i + 0 + 1/4*i**3 = 0?
-2, 0, 4
Suppose -21552 - 9*i**4 - 21375*i**2 + 2196*i + 34806 + 4995*i - 843*i**3 + 1782*i**2 = 0. What is i?
-47, -2/3, 1
Suppose 128/3*y + 0 - 32*y**2 - 24*y**3 - 10/3*y**4 = 0. What is y?
-4, 0, 4/5
Let d(j) be the third derivative of -j**6/210 + 4*j**5/35 + 345*j**4/14 + 900*j**3 - 31*j**2 + 19*j + 1. Factor d(b).
-4*(b - 42)*(b + 15)**2/7
Suppose 17/10*j**3 + 0 + 2/5*j - 18/5*j**2 = 0. Calculate j.
0, 2/17, 2
Let t be 7106/16 + (-12)/96 + -1. Let d = -443 + t. Factor -2/3*p**4 + 0 + 0*p**2 + d*p - 4/3*p**3.
-2*p**3*(p + 2)/3
Let l(t) = -t**3 + 17*t**2 - 8*t + 136. Let a be l(17). Let d(w) be the second derivative of 1/20*w**5 + a*w**3 + 0 - 13*w + 0*w**4 + 0*w**2. Factor d(c).
c**3
Suppose -45 = -14*d - 3. Let r be 94/(-282) + ((-2)/d - -1). Factor 1/4*q**2 + 1/4*q + r.
q*(q + 1)/4
Suppose -15*m + 3*m**3 - 132/7*m**2 + 0 = 0. Calculate m.
-5/7, 0, 7
Let g = -1696 + 1693. Let h be g + (-22)/11 - -7. Find z such that -2*z**h - 4/5*z**5 - 26/5*z**3 + 4/5 - 18/5*z**4 + 6/5*z = 0.
-2, -1, 1/2
Let f = -55 - -59. Determine d, given that 6*d**3 + 40*d + 12 + f - 333*d**2 + 361*d**2 = 0.
-2, -2/3
Let c(t) = -2*t - 9. Let a be c(-6). Let k be -2 - (-1)/(a/(-3))*-5. Factor -8*p**4 - 2*p + 6*p**4 + 3*p**4 - k*p**2.
p*(p - 2)*(p + 1)**2
Let b(l) be the third derivative of 0*l + 1/210*l**5 + 0 - 3/7*l**3 - 99*l**2 + 0*l**4. Factor b(f).
2*(f - 3)*(f + 3)/7
Suppose 5*w - 