 second derivative of z + 1/42*h**4 - h + 1/21*h**3 + 0*h**2. Factor y(p).
2*p*(p + 1)/7
Suppose 0 = 2*v - 26*v. Let l(m) be the third derivative of -1/350*m**7 + 0*m**4 + 0*m**3 + 1/100*m**6 + v*m - 5*m**2 + 0 - 1/100*m**5. Factor l(z).
-3*z**2*(z - 1)**2/5
Let m be (-793)/7 - -1 - (-8)/28. Let l be 1*-1 + m/(-48). Factor -1 + l*s - 1/3*s**2.
-(s - 3)*(s - 1)/3
Let f(m) be the second derivative of -m**5/160 + 9*m**4/32 + 121*m**3/48 + 93*m**2/16 - 331*m. Solve f(t) = 0.
-3, -1, 31
Let k(d) be the second derivative of 7*d**5/30 - 22*d**4/9 + 25*d**3/3 - 6*d**2 + 114*d. Factor k(s).
2*(s - 3)**2*(7*s - 2)/3
Let t(v) = 29*v**2 - 127*v + 253. Let u(h) = -24*h**2 + 128*h - 252. Let m(y) = 4*t(y) + 5*u(y). Factor m(p).
-4*(p - 31)*(p - 2)
Let h = 5738 - 5736. Let -5/4*s**3 + 0*s + 5/2*s**h + 0 = 0. Calculate s.
0, 2
Suppose 0 + 5/3*f - 1/3*f**2 = 0. Calculate f.
0, 5
Let a(l) = -l**2 + 8*l - 5. Let o be a(7). Suppose o*h + 10 = 7*h. Determine f, given that 4 + f**3 + 2*f**3 - 4 + 6*f**h = 0.
-2, 0
Let n(m) be the first derivative of -m**2/2 - 7*m + 8. Let a be n(-10). Factor -1 + g - 2*g**2 - g**a - 1 + 4.
-(g - 1)*(g + 1)*(g + 2)
Let x(q) be the second derivative of -q**6/90 - 17*q**5/20 - 25*q**4/18 + 125*q. Factor x(g).
-g**2*(g + 1)*(g + 50)/3
Let a be -4 - (54/15 + -4)/(4/42). Determine h, given that -3/5 + a*h**2 + 2/5*h = 0.
-3, 1
Solve -4*m**3 + 2/3*m**5 - 2 + 10/3*m + 4/3*m**2 + 2/3*m**4 = 0.
-3, -1, 1
Let u(t) be the first derivative of -3*t**8/784 - 23*t**7/490 - t**6/7 + 4*t**5/35 + 2*t**2 - 4*t - 36. Let x(s) be the second derivative of u(s). Factor x(k).
-3*k**2*(k + 4)**2*(3*k - 1)/7
Let u(l) be the second derivative of -l**5/10 + l**3 + 2*l**2 + 191*l. Find w such that u(w) = 0.
-1, 2
Let i(q) be the third derivative of 0*q**3 + 3 + 0*q**4 + 1/60*q**5 - 3*q**2 - 1/60*q**6 + 0*q. Solve i(n) = 0 for n.
0, 1/2
Let q = -1643/2 - -822. Factor -1/2 + 5/4*s - q*s**2.
-(s - 2)*(2*s - 1)/4
Let b(l) be the second derivative of 0*l**3 - 8*l - 9/2*l**2 - 1/20*l**4 + 1/150*l**5 + 0. Let q(i) be the first derivative of b(i). Factor q(o).
2*o*(o - 3)/5
Suppose -2*i = n - 10, 2*i + 26 = 6*i + 5*n. Factor -11*d**2 - 2*d**3 - i*d**2 + 14*d**2 - d**4.
-d**2*(d + 1)**2
Let g(k) be the third derivative of -k**5/180 + k**4/6 - 10*k**3/9 + 184*k**2. Factor g(z).
-(z - 10)*(z - 2)/3
Let c be (12/(-15))/(-5*(-126)/(-1350)). What is u in -12/7*u + c + 3/7*u**2 = 0?
2
Let u(g) = -5*g**3 + 4*g**2 + 20*g - 34. Let a(x) = -5*x**2 - 20*x + 15 + 2*x**3 + 20 + 4*x**3 - x**3. Let m(p) = 6*a(p) + 5*u(p). Find o such that m(o) = 0.
-2, 2
Let k(d) be the second derivative of -12*d - 1/6*d**4 + 0*d**2 + 0 + 5/3*d**3. Factor k(a).
-2*a*(a - 5)
Let j(d) = 5*d - 4. Suppose 17 = -5*n - 3. Let k(g) = 37*g - 13*g - 14*g - 11*g - g**2. Let c(s) = n*j(s) - 4*k(s). What is v in c(v) = 0?
2
Let x be ((-36)/24)/((5 - (-5)/(-2)) + -3). Find h such that 16/15*h**x - 2/3*h**4 + 0 - 2/15*h**2 - 4/15*h = 0.
-2/5, 0, 1
Let x(q) be the first derivative of -2/21*q**6 - 12 - 13/7*q**4 + 24/35*q**5 + 0*q - 8/7*q**2 + 16/7*q**3. Let x(k) = 0. Calculate k.
0, 1, 2
Let r be (-3 + -129)*5/(-10). Let p = r - 64. Factor 2/5*f + 0 + 0*f**3 - 4/5*f**p + 4/5*f**4 - 2/5*f**5.
-2*f*(f - 1)**3*(f + 1)/5
Let q(j) be the first derivative of -12 - 9/5*j**5 - 22/3*j**3 - 6*j**4 - j - 4*j**2. Factor q(d).
-(d + 1)**2*(3*d + 1)**2
Let l(r) be the first derivative of 2/9*r**3 + 5/42*r**4 - 23 + 2/21*r**2 + 0*r. Determine x so that l(x) = 0.
-1, -2/5, 0
Let k(b) = 60*b - 900. Let x be k(15). Let x + 1/3*c**2 - 5/3*c = 0. What is c?
0, 5
Let w = -16503 + 16503. Let -2/3*r**3 + w*r**2 - 4/3 + 2*r = 0. What is r?
-2, 1
Let u = 1471 - 7353/5. Let l(p) be the first derivative of 2*p**3 - u*p**5 + 2 + 4*p - 1/2*p**4 + 5*p**2. Find v such that l(v) = 0.
-1, 2
Let q(f) = -f**4 - f**3 - f**2. Let z(i) = 24*i**4 - 4*i**3 + 68*i**2 - 32*i. Let v(s) = -20*q(s) - z(s). Factor v(d).
-4*d*(d - 2)**3
Suppose -j + 13*j - 60 = 0. Suppose -l**4 - 6 + 7*l + 236*l**3 + 4*l**j - 7*l**2 - 251*l**3 + 18*l**2 = 0. What is l?
-2, -3/4, 1
Solve -68*c**4 + 68*c**2 + 32*c**3 + 24*c**3 - 52*c**3 + 3*c + 20*c**5 - 27*c = 0 for c.
-1, 0, 2/5, 1, 3
Let p = 21925/18 + -1218. Let v(u) be the third derivative of 0 + p*u**3 - 3*u**2 - 1/48*u**4 + 0*u + 1/360*u**5. Solve v(j) = 0 for j.
1, 2
Let i(l) = 10*l**3 - 16*l - 1. Let z(a) = a**3 + 191 + 2*a**3 - 191 - 5*a. Let d(g) = -4*i(g) + 14*z(g). What is r in d(r) = 0?
-2, 1
Let h(k) be the third derivative of -11*k**2 + 0*k + 0 - 1/6*k**4 - 1/10*k**5 + 0*k**3 - 1/60*k**6. Factor h(m).
-2*m*(m + 1)*(m + 2)
Let x(b) be the second derivative of b**6/255 + b**5/85 + b**4/102 + 16*b - 1. Factor x(w).
2*w**2*(w + 1)**2/17
Let h(w) be the third derivative of w**6/600 - w**5/60 - w**4/120 + w**3/6 - 231*w**2. Find u such that h(u) = 0.
-1, 1, 5
Let t(y) be the first derivative of -y**8/9240 + y**7/1540 - y**5/165 - y**3/3 - 4. Let o(k) be the third derivative of t(k). Suppose o(r) = 0. Calculate r.
-1, 0, 2
Let w(o) be the first derivative of -o**5/10 + 7*o**3/6 + 3*o**2/2 + 108. Factor w(y).
-y*(y - 3)*(y + 1)*(y + 2)/2
Suppose -11*r + 80 = 5*r. Solve 6*o**2 - 596*o - r*o**2 + 597*o = 0.
-1, 0
Let w(x) be the second derivative of -5/4*x**4 - 12*x - 5/2*x**2 - 9/4*x**5 + 25/6*x**3 + 0. Find m such that w(m) = 0.
-1, 1/3
What is f in -76/9 - 2/9*f**2 + 26/3*f = 0?
1, 38
Let v(o) be the second derivative of -3*o**7/14 + 7*o**6/10 - 3*o**5/4 + o**4/4 + 81*o. Find k, given that v(k) = 0.
0, 1/3, 1
Let i = -8431/10 + 4218/5. Determine v so that 1/2*v**2 - 1/2 - 1/2*v**3 + i*v = 0.
-1, 1
Let t = -581 + 583. Factor 4/5*v**4 + 0*v + 0 - 4/5*v**t + 0*v**3.
4*v**2*(v - 1)*(v + 1)/5
Let f be 3 - 5 - (-601 + -3). Factor -20*x**3 + 295 + 347 + 35*x**2 + 170*x - f.
-5*(x - 4)*(x + 2)*(4*x + 1)
Let m be 1 + (49 - 2/(-1)). Let v = 418 - 393. Let 90*g**2 + 67*g + 40 - 35*g**3 - v*g**4 + 21*g + m*g = 0. Calculate g.
-2, -1, -2/5, 2
Let o(n) be the first derivative of -5/4*n**4 + 5/3*n**3 - 5*n - 6 + 5/2*n**2. Factor o(x).
-5*(x - 1)**2*(x + 1)
Suppose 2187/7 - 162/7*v + 3/7*v**2 = 0. What is v?
27
Let l(h) be the third derivative of -h**6/300 + h**5/150 + 3*h**4/20 - 3*h**3/5 - 29*h**2. Factor l(x).
-2*(x - 3)*(x - 1)*(x + 3)/5
Suppose 3*q + 17*l + 57 = 18*l, 72 = -3*q - 4*l. Let v be (-74)/(-26) + q/(-130). Factor 4/3*h**2 + 0*h - 2/3*h**v + 0 - 16/3*h**4 - 10/3*h**5.
-2*h**2*(h + 1)**2*(5*h - 2)/3
Let h be 1 + 5/(-70)*-7. Solve -1 + h*f - 1/2*f**2 = 0 for f.
1, 2
Let m(s) = 11*s - 5. Let y be m(1). Let p be (y/(-4))/(6/(-19)) - 4. Determine f, given that -p*f**2 + f + 1 = 0.
-2/3, 2
Let i = -3318/11 - -302. Let g be (18/(-132))/(1/(-4)). Find v, given that -g*v - 2/11*v**2 - i = 0.
-2, -1
Let f be (-3 - (1 - 0)) + 30. Factor 14*a + 6*a**2 + f*a**3 - 55*a**3 - 12 + 23*a**3 - 2*a**4.
-2*(a - 1)**2*(a + 2)*(a + 3)
Factor -40/7*b**2 + 256/7*b - 512/7 + 2/7*b**3.
2*(b - 8)**2*(b - 4)/7
Let d(o) be the first derivative of o**6/57 - 8*o**5/19 - o**4/38 + 40*o**3/57 - 365. Solve d(r) = 0 for r.
-1, 0, 1, 20
Let r(h) = -7*h**3 - 6*h**2 - 5*h. Let q(j) = j**3 + j**2 + j. Suppose 11*s = 13*s - 8. Suppose 0 = -5*g + s - 34. Let l(a) = g*q(a) - r(a). Solve l(v) = 0.
-1, 0, 1
Factor 4*f**4 - 1084*f**3 + 256*f**2 + 569*f**3 + 579*f**3.
4*f**2*(f + 8)**2
Let u(n) be the first derivative of -n**4/20 - 2*n**3/15 - n**2/10 + 31. Factor u(q).
-q*(q + 1)**2/5
Let p(h) be the first derivative of h**5/80 - 12*h - 3. Let i(k) be the first derivative of p(k). Factor i(o).
o**3/4
Let o(s) = 7*s**2 + 12*s + 3. Let z(x) = -x. Let k(t) = -o(t) + 10*z(t). Factor k(j).
-(j + 3)*(7*j + 1)
Factor 34 - 140 + 54 + 36 + 4*u**2.
4*(u - 2)*(u + 2)
Let i(j) be the third derivative of j**7/420 - 7*j**6/240 + 13*j**5/120 + j**4/16 - 3*j**3/2 + 39*j**2 + 3. Factor i(q).
(q - 3)**2*(q - 2)*(q + 1)/2
Suppose -5*p + 25 = 0, -3*w + 4*p + 11 = 5*p. Determine l, given that -2*l**2 - 3*l**4 - 6*l**3 + 5*l**w + 9*l**3 - l - 2*l = 0.
-1, 0, 1
Find a such that 4/5*a**4 - 296/5*a**3 + 5764/5*a**2 + 5184/5 - 10656/5*a = 0.
1, 36
Factor -22*f**2 - 251 - 17*f + 122 + 125 - 9*f.
-2*(f + 1)*(11*f + 2)
Let y be 4*(282/40 - -5*(-77)/55). Factor -13/5*d + y*d**2 + 0.
d*(d - 13)/5
Let 0 - 1/2*w**2 - 7*w = 0. What is w?
-14, 0
Suppose -18*y = 2*g - 16*y + 4, -5*y - 28 = -g. Let 