 the first derivative of -r**3/2 - 45*r**2/2 - 87*r/2 - 72. Factor d(l).
-3*(l + 1)*(l + 29)/2
Let v(q) be the first derivative of q**4/18 - 4*q**3/9 + 8*q**2/9 - 17. Factor v(p).
2*p*(p - 4)*(p - 2)/9
Factor 166*m**2 + 8*m - 330*m**2 + 166*m**2 - 4*m - 2*m**3.
-2*m*(m - 2)*(m + 1)
Let i(l) = 27*l**4 + 96*l**3 - 87*l**2 - 156*l + 21. Let y(c) = 5*c**4 + 19*c**3 - 17*c**2 - 31*c + 4. Let m(s) = -4*i(s) + 21*y(s). Factor m(d).
-3*d*(d - 3)**2*(d + 1)
Factor -73*y**2 - 89*y - 8 - 73*y - 136 - 6*y - 14*y**3 - y**4.
-(y + 3)**2*(y + 4)**2
Let u = -126 + 126. Let n(v) be the second derivative of u*v**2 + 1/6*v**4 - 4*v + 1/10*v**5 + 0 + 0*v**3. Determine y, given that n(y) = 0.
-1, 0
Let c(h) be the second derivative of -2*h + 0 - 1/16*h**4 + 1/40*h**5 + 0*h**3 - 4*h**2 - 1/320*h**6. Let o(x) be the first derivative of c(x). Factor o(f).
-3*f*(f - 2)**2/8
Let b(t) be the first derivative of t**4/4 - 4*t**3/9 - 59*t**2/6 + 20*t/3 - 72. Factor b(j).
(j - 5)*(j + 4)*(3*j - 1)/3
Find h, given that -31/3*h**2 - 845/3 - 1/3*h**3 - 299/3*h = 0.
-13, -5
Factor 3*p**4 - 25*p - 15*p**3 + 4*p + 6 + 430*p**2 - 403*p**2.
3*(p - 2)*(p - 1)**3
Let g(n) = 5*n**2 + 6*n + 4. Let p(l) = l**2 + l. Suppose 0 = 4*f - 25 + 29. Let x(m) = f*g(m) + 6*p(m). Solve x(d) = 0.
-2, 2
Let t(f) = -57*f**2 - 66*f + 66. Let a(r) = 7*r**2 + 8*r - 8. Let v(j) = 33*a(j) + 4*t(j). Solve v(c) = 0.
0
Let j be 45/(-60)*40/(-14). Factor -75/7*k - 1/7*k**3 - j*k**2 - 125/7.
-(k + 5)**3/7
Let r(k) = -k**2 + 19*k - 12. Let q be r(10). Let f = q - 307/4. Determine b so that f*b**3 - 9/4*b**5 + 3*b**4 + 0 - 3*b**2 + b = 0.
-1, 0, 2/3, 1
Let a be (3/(-36))/(100/(-15) + 5). Let x(t) be the second derivative of 0 - 1/2*t**3 - 9*t + 0*t**4 + a*t**5 + t**2. Factor x(w).
(w - 1)**2*(w + 2)
Suppose 24738*j**4 + 111372*j**3 + 54065*j**2 - 832*j - 218*j - 72*j**3 + 5 + 31442*j**4 = 0. Calculate j.
-1, 1/106
Let t = 434 + -431. Let a(y) be the second derivative of 0*y**4 + 0 - 1/50*y**5 - 1/75*y**6 + 10*y + 0*y**2 + 0*y**t. Factor a(f).
-2*f**3*(f + 1)/5
Let l(f) be the first derivative of 2/27*f**3 - 6 - f**2 - 20/9*f. Factor l(o).
2*(o - 10)*(o + 1)/9
Suppose -2 = -33*q + 35*q. Let t be (-102)/(-198) + q/3. Determine p, given that 2/11*p**2 + 0 - t*p = 0.
0, 1
Let k(b) be the second derivative of -13*b**6/105 - 37*b**5/70 + 29*b**4/21 - 8*b**3/21 - 248*b. Find x such that k(x) = 0.
-4, 0, 2/13, 1
Let o(i) = 2*i**2 - 8. Let w be o(-3). Let j be (-8 - -11)*(w/(-18) - -1). Factor 0*m + j*m**4 + 0*m**2 + 0 + 0*m**3 + 10/3*m**5.
2*m**4*(5*m + 2)/3
Let m be ((-8)/14 + 0)*-7. Let x(d) be the second derivative of -m*d + 0 - 7/33*d**3 - 1/110*d**5 - 5/66*d**4 - 3/11*d**2. Factor x(h).
-2*(h + 1)**2*(h + 3)/11
Find o, given that -14/13*o - 12/13 - 2/13*o**2 = 0.
-6, -1
Suppose 5*k + 5*v - 60 = -20, 5*v = 2*k + 19. Let n be (-10)/(-25)*(1 + (-3)/18). Factor -1/3*i**2 + 1/3*i**k + 0 - 1/3*i + n*i**4.
i*(i - 1)*(i + 1)**2/3
Let p be -3*((-40)/12 + -2). Suppose -q = b - 4*q - 6, -5*b = -q - p. Factor 2*k**3 + b*k**2 + k**4 - 6*k**3 - k + k**3.
k*(k - 1)**3
Let k be (4/8)/((-2)/(-4)). Let c be (-3)/(k + 10/(-4)). Solve -9*l + 0 + 5*l + 2*l + 2*l**c - 4 = 0.
-1, 2
Solve 4/9*r**3 + 10/9 - 22/9*r**2 + 8/9*r = 0.
-1/2, 1, 5
Let f be (1 + (-2 - 0))*7. Let u = f - -9. Solve -10*o - 7*o - 27 - 3*o**u - o = 0 for o.
-3
Let l(x) be the third derivative of 0 + 0*x + 14*x**2 + 1/48*x**5 - 1/32*x**4 + 0*x**3. Suppose l(a) = 0. What is a?
0, 3/5
Find c, given that 51842/5 + 644/5*c + 2/5*c**2 = 0.
-161
Solve -4/3*i + 80/3*i**4 + 52/3*i**3 + 0 - 2/3*i**2 = 0 for i.
-1/2, -2/5, 0, 1/4
Let w(b) = b**2. Let y(i) = 12*i**2 + 4*i + 2. Suppose 0 = 6*c - c. Suppose 30 = 3*a - c*a. Let n(t) = a*w(t) - y(t). Factor n(v).
-2*(v + 1)**2
Suppose -35 = -2*t - 5*p, 19*t - 14*t - 47 = p. Let v be (-13)/(-11) - (11 - t). Solve -10/11*w**2 - 6/11 + 14/11*w + v*w**3 = 0.
1, 3
Let m be (-10*5/300)/((-1)/2). Let y(w) be the first derivative of 3 - 1/15*w**5 + m*w**3 + 0*w + 0*w**4 - 1/3*w**2. Let y(v) = 0. Calculate v.
-2, 0, 1
Let n(s) = s**3 - s**2 - s - 1. Let q(j) = 4*j**3 + 16*j**2 - 4*j - 14. Let m(g) = n(g) + q(g). Factor m(x).
5*(x - 1)*(x + 1)*(x + 3)
Let t be (-84)/(-42) + (-37)/20. Let n(k) be the second derivative of -3/4*k**4 + k + 0 + 0*k**3 + t*k**5 + 0*k**2. Factor n(z).
3*z**2*(z - 3)
Suppose -2 = -s + 7. Let k be (-7)/(-7)*6/s. Factor k*u**2 + 0*u + 1/3*u**3 + 0.
u**2*(u + 2)/3
Let p = -733 + 520. Let c = p + 213. Factor -8/11*f**4 - 2/11*f - 12/11*f**3 - 8/11*f**2 - 2/11*f**5 + c.
-2*f*(f + 1)**4/11
Suppose 0 = 23*i - 226 + 88. Let f(h) = -7*h + 44. Let q be f(i). Factor 0*d**3 + 0 + 2/7*d - 2/7*d**5 - 4/7*d**q + 4/7*d**4.
-2*d*(d - 1)**3*(d + 1)/7
Let i(z) be the third derivative of -3*z**5/130 - z**4/39 + 28*z**3/39 - 135*z**2. Determine q so that i(q) = 0.
-2, 14/9
Factor -6/5*i**2 + 9/5*i + 1/5*i**3 - 4/5.
(i - 4)*(i - 1)**2/5
Suppose 1 + 9 - 131*u**2 - 364*u**2 - 166*u + 481*u = 0. What is u?
-1/33, 2/3
Let k(y) be the third derivative of y**6/30 + 3*y**5/5 + 7*y**4/3 + 134*y**2. Let k(z) = 0. What is z?
-7, -2, 0
Suppose 0 = 5*s, -2 = -i + s + 2*s. Suppose 0 = -2*m - 6*m. Find j, given that m + 0*j**i + 3/7*j**3 + 0*j = 0.
0
Let h(u) be the third derivative of -17*u**5/210 - 22*u**4/21 - 5*u**3/7 - u**2 + 182*u. Suppose h(l) = 0. What is l?
-5, -3/17
Let k(y) = -y**4 - y**3 + y**2 - y + 1. Let o(h) = -5*h**5 - 41*h**4 - 147*h**3 - 195*h**2 - 48*h - 6. Let a(z) = -30*k(z) - 5*o(z). Solve a(u) = 0 for u.
-3, -2/5, 0
Suppose -c - 51 = -3*l - 173, 4*c + 45 = -l. Let d = -38 - l. Factor 1/6*v**d - 1/6*v**2 + 0 + 0*v.
v**2*(v - 1)/6
Let t = 4 + 2. Let v(y) = 6*y - 34. Let u be v(t). Find b, given that u*b**4 + 0 + 0*b + 4/3*b**3 + 2/9*b**2 + 8/9*b**5 = 0.
-1, -1/4, 0
Let w(l) be the first derivative of -1/3*l + 0*l**2 + 11 + 1/9*l**3. Find m, given that w(m) = 0.
-1, 1
Let b(m) be the first derivative of 23*m**3/6 + 11*m**2 - 2*m + 34. Factor b(y).
(y + 2)*(23*y - 2)/2
Let j be 1 - -1 - (-3 - -3). Factor -2*o + 0*o**j + 10*o - 4*o**2 + 12*o - 24.
-4*(o - 3)*(o - 2)
Let v(p) be the second derivative of 1/45*p**6 + 0*p**3 + 0 + 7*p + 0*p**5 - 1/18*p**4 + 0*p**2. Factor v(a).
2*a**2*(a - 1)*(a + 1)/3
Let a be 12/(-18) - -1 - (-7 - 32/(-6)). Determine x so that 15/2*x**2 - 13/2*x + 1/2*x**4 + a - 7/2*x**3 = 0.
1, 4
Let s(c) = 3*c**4 - 21*c**3 - 27*c**2 - 15*c - 6. Let o(n) = n**4 + n**2 - 1. Let z(j) = 6*o(j) - s(j). Factor z(k).
3*k*(k + 1)**2*(k + 5)
Let -27*z**3 - 4*z**5 + 15*z**3 + 75*z**4 + 52*z**3 - 3*z**3 + 20*z**2 + 62*z**3 = 0. Calculate z.
-1, -1/4, 0, 20
Factor -2/9*w**4 + 0 - 88/9*w - 10/3*w**3 - 32/3*w**2.
-2*w*(w + 2)**2*(w + 11)/9
Suppose 2*j + j = 0. Factor -3*z**5 + 2*z**4 + 4*z**3 + z**4 - 3*z**2 - z**3 + j*z**4.
-3*z**2*(z - 1)**2*(z + 1)
Let l(n) = -8*n**3 + 17*n**2 - 9*n - 7. Let s(o) = 4*o**3 - 9*o**2 + 5*o + 3. Suppose 0 = -4*z + 6*z - 6. Let f(u) = z*l(u) + 7*s(u). Factor f(r).
4*r*(r - 2)*(r - 1)
Let p(s) = 73*s - 1095. Let q be p(15). Factor 0 + 0*r - 3/4*r**4 + 3/4*r**2 + q*r**3.
-3*r**2*(r - 1)*(r + 1)/4
Let b = -1625/18 + 826/9. Factor -3*j - b*j**2 - 3/2.
-3*(j + 1)**2/2
Let d be 8 - (2 + -3) - 4. Let -6*j**3 - 2*j**3 + 8*j**4 - 2*j**2 - 6*j**2 + 4*j**3 + 4*j**d = 0. What is j?
-2, -1, 0, 1
Let s(v) = 16*v**2 + 16*v + 10. Let z = 4 - -2. Let t(r) = -5*r**2 - 5*r - 3. Let j(b) = z*s(b) + 20*t(b). Factor j(q).
-4*q*(q + 1)
Let i(x) be the second derivative of -x**6/30 + 11*x**5/10 - 10*x**4 - 11*x**3/3 + 121*x**2/2 + 236*x. Find t, given that i(t) = 0.
-1, 1, 11
Let r(h) = 2*h**2 + 5*h - 13. Let y(q) = -q**2 - 3*q + 6. Let w(p) = -6*r(p) - 13*y(p). Determine b so that w(b) = 0.
-9, 0
Let i(v) be the first derivative of -2*v**3/15 - v**2/5 + 12*v/5 + 16. Solve i(g) = 0.
-3, 2
Let t(g) = 4*g**2 - 101*g + 3. Let r(h) = 12*h**2 - 302*h + 10. Let y(o) = 3*r(o) - 10*t(o). Factor y(x).
-4*x*(x - 26)
Let f = 1539 + -1533. Let l(j) be the second derivative of 3/10*j**5 + 0*j**2 - 7/60*j**f - 1/8*j**4 + 0 - 1/6*j**3 - 6*j. Find z, given that l(z) = 0.
-2/7, 0, 1
Suppose 7*d - 54 = 4*d. Suppose d*p**3 - 33*p**2 + 3*p + 36*p**2 - 3*p = 0. What is p?
-1/6, 0
Suppose -2*x + 36 = -4*d - 4, -d + 46 = 3*x. Let m = -14 + x. Find q such that -1/5 - 3/5*q - 2/5*q**m + 1/5*q**5 + 2/5*q**3 + 3/5*q**4 = 0.
-1, 1
Let v(h) be the