 18)**2
Let y(x) be the third derivative of 0*x**4 + 0 + 21*x**2 + 0*x**3 + 1/30*x**5 + 0*x + 1/60*x**6. Factor y(b).
2*b**2*(b + 1)
Suppose -d + 2 = -10. Let o = d + -8. Factor -4 - 2*k**2 - k**2 - o*k - k**2 + 12*k.
-4*(k - 1)**2
Let v(q) = -q**2 + 87*q + 6. Let x(k) = 85*k + 5. Let g(p) = 5*v(p) - 6*x(p). Factor g(c).
-5*c*(c + 15)
Let y be (-12)/(-18) - 20/3. Let f(z) = z**2 - 3*z - 6. Let w(n) be the first derivative of -n**3 + 4*n**2 + 17*n + 5. Let u(h) = y*w(h) - 17*f(h). Factor u(t).
t*(t + 3)
Let b(n) be the third derivative of -n**5/140 - n**4/56 + 3*n**3/7 + 73*n**2 + 2*n. What is y in b(y) = 0?
-3, 2
Let l be ((-36)/70)/((-7)/(-210)*-9). Factor -3/7*j**4 - 36/7*j - 39/7*j**2 - l - 18/7*j**3.
-3*(j + 1)**2*(j + 2)**2/7
Let m(c) = 4*c**2 + 3*c. Suppose 8*b - 10 - 14 = 0. Let h(f) = 7*f**2 + 6*f. Let p(z) = b*h(z) - 5*m(z). Solve p(j) = 0 for j.
-3, 0
Let z = 21/52 + 995/884. Factor 40/17*k**2 - z*k + 4/17 - 18/17*k**3.
-2*(k - 1)**2*(9*k - 2)/17
Let w(p) be the second derivative of p**10/7560 - p**9/3024 - p**8/3360 + p**7/840 - 3*p**4/4 + 3*p. Let f(l) be the third derivative of w(l). Factor f(t).
t**2*(t - 1)**2*(4*t + 3)
Suppose -16 = -5*f - c, 14 - 32 = -3*c. Factor -2/13*y**3 - 16/13*y**2 - 12/13 - f*y.
-2*(y + 1)**2*(y + 6)/13
Let v(q) be the first derivative of 0*q - 1/60*q**6 + 0*q**4 + 0*q**3 + 2*q**2 + 4 + 0*q**5. Let g(x) be the second derivative of v(x). Solve g(s) = 0.
0
Let g(d) be the second derivative of -d**7/42 - 7*d**6/10 - 6*d**5 - 25*d**4/3 + 124*d. What is x in g(x) = 0?
-10, -1, 0
Let c(n) = -n**3 - 2*n**2 - 1. Let y(b) = 2*b**3 - 2*b + 16. Let d(f) = -4*c(f) - y(f). Find l, given that d(l) = 0.
-3, -2, 1
Let j(m) be the third derivative of -19/12*m**5 + 0 + 35/8*m**4 - 13*m**2 - 25/6*m**3 + 0*m + 1/8*m**6. Suppose j(k) = 0. Calculate k.
1/3, 1, 5
Let n(x) be the second derivative of x**6/15 - 9*x**5/10 - 6*x**4 - 4*x**3/3 + 48*x**2 + x. Find g, given that n(g) = 0.
-2, 1, 12
Let -4/13*m + 30/13 - 2/13*m**2 = 0. What is m?
-5, 3
Let j = -2193 + 8775/4. Suppose -9/4*p**2 - 3/4*p**4 - j*p - 9/4*p**3 + 0 = 0. Calculate p.
-1, 0
Let l(h) = h**3 - 2*h. Let n be l(2). Let w(s) be the second derivative of -1/3*s**n - 3*s + 2*s**3 + 0 - 4*s**2. Suppose w(m) = 0. What is m?
1, 2
Let z(y) be the first derivative of -1/12*y**3 + 0*y + 1/16*y**4 - 1/4*y**2 + 18. Factor z(d).
d*(d - 2)*(d + 1)/4
Let l(r) be the first derivative of -2*r**5/5 + 17*r**4 - 698*r**3/3 + 1020*r**2 - 1800*r - 33. Solve l(z) = 0.
2, 15
Let s(k) = -k**2 + 24*k + 4. Let m be s(20). Suppose -38*f**4 - 249*f**3 - 12 - m*f - 207*f**2 + 39*f**3 - 37*f**4 = 0. Calculate f.
-1, -2/5
Let g be 25/10 + 1/(-2). Find o, given that 0 - 4/7*o + 20/7*o**g = 0.
0, 1/5
Determine t so that -7*t**3 - 1671678 + 6*t - t**4 + t**2 + 1671678 + t**5 = 0.
-2, -1, 0, 1, 3
Let o(l) = 3*l**4 + 8*l**3 + 25*l**2. Let t(w) = -2*w**4 - 8*w**3 - 26*w**2. Let c(m) = -6*o(m) - 7*t(m). What is s in c(s) = 0?
-2, 0, 4
Let s(p) be the third derivative of 7*p**5/240 - 31*p**4/24 - 3*p**3/2 + p**2 + 7*p. Factor s(w).
(w - 18)*(7*w + 2)/4
Let l(q) be the second derivative of 0*q**2 + 34*q + 1/25*q**5 + 2/5*q**4 + 2/3*q**3 + 0. Solve l(d) = 0 for d.
-5, -1, 0
Let o be ((-5)/4)/5 - (0 - 289/68). Suppose 4/3*f**2 - 68/3*f + 68/3*f**3 - 8 + 20/3*f**o = 0. What is f?
-3, -1, -2/5, 1
Let x be ((-20)/60)/((-2)/12). Solve 12*n + 4*n**3 - 12 + 24*n - 8*n - 20*n**x + 0*n**3 = 0.
1, 3
Let o(g) be the third derivative of 0*g + 2*g**3 + 0 + 7/12*g**4 - 26*g**2 + 1/30*g**5. Suppose o(r) = 0. What is r?
-6, -1
Let s(r) be the first derivative of 1/9*r**2 - 8 + 0*r + 1/4*r**4 + 1/54*r**6 - 1/9*r**5 - 7/27*r**3. Factor s(g).
g*(g - 2)*(g - 1)**3/9
Let j(d) = -7*d**3 + d**2 + 2*d - 15. Let m(w) = 3*w**3 - w + 6. Let z(f) = 4*j(f) + 9*m(f). Factor z(p).
-(p - 3)*(p - 2)*(p + 1)
Let y be 12 + (-837)/72 + (-6)/16. Solve 0*t - 12/11*t**2 + y + 6/11*t**4 + 6/11*t**3 = 0 for t.
-2, 0, 1
Let n(b) be the third derivative of -b**7/42 - b**6/3 + 5*b**5/2 - 20*b**4/3 + 55*b**3/6 + 180*b**2 + b. Factor n(u).
-5*(u - 1)**3*(u + 11)
Let g be 2/3 - 21/(-9). Let q be (-9)/g + (-126)/(-2). Factor q*t**3 + 2*t**4 - t**2 - t**4 - 2*t - 58*t**3.
t*(t - 1)*(t + 1)*(t + 2)
Let q = -7562 - -52937/7. Factor -3/7*j**3 - 12/7*j**2 + 18/7 - q*j.
-3*(j - 1)*(j + 2)*(j + 3)/7
Let k(o) be the third derivative of -o**5/15 - o**4/3 + 2*o**3 + 485*o**2. Factor k(h).
-4*(h - 1)*(h + 3)
Let x(r) = -5*r**2 + 40*r - 91. Let d(k) = -18 + 5*k - k**2 + 3*k + 0*k**2. Let i(w) = 22*d(w) - 4*x(w). Find s, given that i(s) = 0.
4
Let d(f) be the third derivative of -f**8/224 + f**7/90 - f**6/720 - f**5/90 + 4*f**2. What is b in d(b) = 0?
-4/9, 0, 1
Find t such that 54*t**3 - 51*t**2 + 3/2*t**5 + 0 + 33/2*t - 21*t**4 = 0.
0, 1, 11
Factor 0 + 0*v - 1/2*v**4 - 13/2*v**3 + 7*v**2.
-v**2*(v - 1)*(v + 14)/2
Let d(s) = s**3 + 3*s**2 - 2*s + 2. Let q(a) = -a**2 + a - 1. Let n(h) = 3*h - 44. Let w be n(18). Let m(r) = w*q(r) + 5*d(r). Factor m(c).
5*c**2*(c + 1)
Let j(w) be the third derivative of 0*w**4 + 1/40*w**6 + 0*w - 1/56*w**8 + 0*w**3 - 1/70*w**7 + 0 + w**2 + 0*w**5. Factor j(i).
-3*i**3*(i + 1)*(2*i - 1)
Suppose -j + 3*s - 5*s - 4 = 0, 5*s + 23 = 4*j. Suppose -j*c + q - 1 = 0, -4*c - 4*q = -8*c - 4. Determine v so that c - 4/9*v + 2/9*v**2 = 0.
0, 2
Suppose 35*u = 32*u + 291. Let k = u + -94. Factor -12/5*g - 39/5*g**2 + 12/5 - k*g**3.
-3*(g + 1)*(g + 2)*(5*g - 2)/5
Let r(d) be the first derivative of 2/65*d**5 - 4 - 1/13*d**4 + 2/13*d**2 + 0*d**3 - 2/13*d. What is u in r(u) = 0?
-1, 1
Let p(w) = -w**2 - w + 1. Suppose s + 4*f = 7*f + 20, 2*f + 35 = 5*s. Let u(v) = 2*v**2 + 11*v + 4. Let x(y) = s*p(y) + u(y). Find j, given that x(j) = 0.
-1, 3
Let y be ((-4)/(-30))/((-2)/(220/(-21))). Let f = y + -10/21. Let 2/9*c**2 + 0*c + f*c**3 + 0 = 0. Calculate c.
-1, 0
Let o = 1874 + -1874. Let q(n) be the first derivative of o*n + 5 + 2/27*n**3 + 0*n**2. Suppose q(p) = 0. Calculate p.
0
Suppose -4*z + 70 = -d, 2*d - 3*z = -62 - 78. Let k be d/42 - (1 - (1 - -3)). Suppose 0 + 0*j**2 - 2/3*j**4 + 0*j - k*j**3 = 0. Calculate j.
-2, 0
Let q(v) be the second derivative of v**6/72 - v**5/24 - 2*v**3 - 4*v. Let a(l) be the second derivative of q(l). Factor a(t).
5*t*(t - 1)
Let z(a) = -10*a**5 - 11*a**2 + 11*a + 11. Let u(h) = 2*h**5 + 2*h**2 - 2*h - 2. Let s(k) = 5*k**2 + 2. Let w be s(-2). Let j(c) = w*u(c) + 4*z(c). Factor j(i).
4*i**5
Let j(g) be the first derivative of -1/24*g**4 - 1/2*g**2 + 0*g + 1/6*g**3 + 6 + 1/240*g**5. Let q(h) be the second derivative of j(h). Let q(t) = 0. What is t?
2
Let c(s) be the first derivative of s**6/240 - s**5/120 - s**4/24 + 5*s**2/2 - 7. Let a(h) be the second derivative of c(h). Find m, given that a(m) = 0.
-1, 0, 2
Let y(t) = -23*t - 34*t**2 - 2 + 1 + 5*t**2. Let k(b) = -10*b**2 - 8*b. Let h be (-1)/2*-2*-2. Let v(r) = h*y(r) + 7*k(r). Solve v(f) = 0 for f.
-1, 1/6
Let h(r) be the first derivative of r**3/2 - 45*r**2/2 + 87*r/2 - 164. Determine d, given that h(d) = 0.
1, 29
Determine d so that 218 + 14702 - 28374 - 856*d - 32342 - 4*d**2 = 0.
-107
Factor -40*a**2 - 45 + 67*a**2 - 42*a**2 - 84*a.
-3*(a + 5)*(5*a + 3)
Let p(s) be the first derivative of s**4/2 + 306*s**3/7 + 7425*s**2/7 - 6534*s/7 - 541. Solve p(r) = 0.
-33, 3/7
Let y(r) = 173*r - 515. Let z be y(3). Solve -18/5*x**4 - z*x**3 - 8/5 + 8/5*x**5 + 38/5*x**2 + 24/5*x = 0 for x.
-1, 1/4, 2
Let i(o) = -14*o**2 - 26*o - 36. Let d(b) = b**2 - b. Let l(q) = -12*d(q) - i(q). Solve l(c) = 0.
-18, -1
Suppose z - 10 = 2. Factor 16*m**2 + z*m**2 + 27*m + 13*m + 16 + 6*m**3.
2*(m + 2)**2*(3*m + 2)
Let p(j) = -j. Let k = 108 - 86. Let o(h) = h**2 - 15*h + 4. Let v(t) = k*p(t) - 2*o(t). Factor v(l).
-2*(l - 2)**2
Let q(z) be the third derivative of -12*z**2 - 11/300*z**5 + 0*z + 0 - 5/6*z**3 - 1/600*z**6 - 7/24*z**4. Determine u so that q(u) = 0.
-5, -1
Let z = 65191/5 - 13038. Determine a, given that -z*a**5 + 0*a - 1/5*a**3 + 0 - 2/5*a**4 + 0*a**2 = 0.
-1, 0
Let g(b) be the second derivative of b**6/10 - 9*b**5/5 + 25*b**4/2 - 42*b**3 + 135*b**2/2 - b - 126. Factor g(p).
3*(p - 5)*(p - 3)**2*(p - 1)
Let b(w) = 9*w**5 - w**4 + 4*w**3 + 4*w**2 - 4. Let y(v) = -20*v**5 + 2*v**4 - 9*v**3 - 9*v**2 + 9. Let r(l) = -9*b(l) - 4*y(l). Suppose r(a) = 0. Calculate a.
0, 1
Let h 