21)*(11 + -4). Let h(g) = g**3 + 3*g**2 - g. Let r be h(w). Factor 10*b**3 - 15*b + r*b**2 - 15*b**2 - b.
2*b*(b + 4)*(5*b - 2)
Let w(c) be the second derivative of -c**4/6 - 11*c**3/3 - 10*c**2 + c - 10. Let w(j) = 0. What is j?
-10, -1
Let d(t) = -t**2 + t - 1. Let g(y) = y**4 + 2*y**3 - 7*y**2 - 4*y - 8. Let j(c) = -4*d(c) + g(c). Factor j(w).
(w - 2)*(w + 1)**2*(w + 2)
Let o(u) be the third derivative of -u**5/300 + 7*u**4/120 - u**3/3 + 107*u**2. Factor o(i).
-(i - 5)*(i - 2)/5
Let z be (2*(-55)/20)/(-2). Let v(k) be the first derivative of -8/3*k**5 - 10/9*k**3 - 4 + 0*k + z*k**4 + 8/9*k**6 + 1/6*k**2. Solve v(h) = 0.
0, 1/4, 1
Suppose 381 = 31*m - 28*m. Let g = 127 - m. Factor 0 - 1/2*f**5 - 1/2*f + f**3 + g*f**2 + 0*f**4.
-f*(f - 1)**2*(f + 1)**2/2
Let q = -2/3339 - -3347/13356. Factor -9/4*l - q*l**2 - 2.
-(l + 1)*(l + 8)/4
Factor -1764/5*o - 3/5*o**3 + 8232/5 + 126/5*o**2.
-3*(o - 14)**3/5
Let b(p) be the third derivative of 16/3*p**3 + 0 + 7/15*p**5 + 0*p - 45*p**2 + 5*p**4. Find s such that b(s) = 0.
-4, -2/7
Let m(p) be the second derivative of -p**7/11340 + p**6/810 - 4*p**4/3 + 25*p. Let s(k) be the third derivative of m(k). Factor s(v).
-2*v*(v - 4)/9
Let c(a) be the second derivative of a**5/30 - a**4/4 + 2*a**3/3 - 3*a**2/2 - 18*a. Let k(d) be the first derivative of c(d). Factor k(w).
2*(w - 2)*(w - 1)
Let l(g) be the second derivative of g**6/150 - 13*g**5/20 - 11*g**4/10 + 80*g. Suppose l(h) = 0. Calculate h.
-1, 0, 66
Let z(a) = 7*a**4 + 3*a - 7. Let b(h) = -h + 1. Let d(g) = 5*b(g) + z(g). Let p(u) = 21*u**4 - u**3 - 7*u - 7. Let j(y) = 7*d(y) - 2*p(y). Factor j(q).
q**3*(7*q + 2)
Let f(b) be the third derivative of b**6/780 - b**5/390 - b**4/156 + b**3/39 + 2*b**2 + 2. Factor f(g).
2*(g - 1)**2*(g + 1)/13
Let m(a) be the third derivative of a**5/210 + a**4/42 - 5*a**3/7 + 95*a**2. Determine p, given that m(p) = 0.
-5, 3
Let a be (6 - 270/48) + 27/120. Let p(u) be the first derivative of -1 - 1/15*u**3 + a*u - 1/5*u**2. Factor p(h).
-(h - 1)*(h + 3)/5
Let p(z) be the third derivative of z**6/720 + z**5/60 - z**4/4 - 16*z**3/3 + 10*z**2. Let v(j) be the first derivative of p(j). What is i in v(i) = 0?
-6, 2
Let i(o) be the third derivative of -o**6/30 - o**5/15 + 28*o**4/3 - 96*o**3 - 4*o**2 - 19. Let i(p) = 0. What is p?
-9, 4
Let w(h) = 5*h**4 + 7*h**3 + 14*h**2 + 20*h + 12. Let o(y) = y**4 - y**2 + 1. Suppose -11*r + 0 = -11. Let k(d) = r*w(d) - 4*o(d). Determine b so that k(b) = 0.
-2, -1
Let t(f) = 5*f**3 + 39*f**2 + 70*f + 3. Let w(j) = -6*j**3 - 38*j**2 - 68*j - 4. Let g(b) = 4*t(b) + 3*w(b). Factor g(s).
2*s*(s + 2)*(s + 19)
Let i(j) be the third derivative of -j**7/70 - j**6/20 + 2*j**5/5 + 9*j**4/4 + 9*j**3/2 - 3*j**2 + 12*j. Factor i(x).
-3*(x - 3)*(x + 1)**2*(x + 3)
Let y(f) be the third derivative of -f**8/1848 + f**7/1155 + 17*f**6/660 - 17*f**5/330 - 4*f**4/33 + 16*f**3/33 + 50*f**2 + 2*f. Find j, given that y(j) = 0.
-4, -1, 1, 4
Let g(z) be the first derivative of 2*z**3/3 + 67*z**2/11 + 12*z/11 + 11. Solve g(s) = 0.
-6, -1/11
Let z be 3*(-2 - 40/(-12)). Let t(j) = j**2 - 10*j - 18. Let y(l) = 16 - 31 + 3*l**2 - 22 - 21*l. Let o(i) = z*y(i) - 10*t(i). Factor o(u).
2*(u + 4)**2
Let x(b) be the third derivative of 1/60*b**4 + 0*b**3 + b**2 - 4/525*b**7 + 0 + 0*b - 1/25*b**5 + 3/100*b**6. Suppose x(a) = 0. Calculate a.
0, 1/4, 1
Factor 2/7*i**3 - 144/7 - 136/7*i - 4*i**2.
2*(i - 18)*(i + 2)**2/7
Let p(g) be the third derivative of g**8/896 - g**7/56 + 39*g**6/320 - 37*g**5/80 + 17*g**4/16 - 3*g**3/2 - 128*g**2 + g. Solve p(h) = 0.
1, 2, 3
Let p(b) be the first derivative of -2/5*b**3 - 2/5*b - 3/5*b**2 - 30 - 1/10*b**4. Factor p(a).
-2*(a + 1)**3/5
Let y = -16 + 18. Factor 86*z**2 - 85*z**y - z + 4*z.
z*(z + 3)
Suppose 0 = -3*b + 2*j, 16*b - 19*b + 5*j - 9 = 0. Let k(h) be the first derivative of -4/7*h - 3/7*h**b - 6 - 2/21*h**3. Factor k(n).
-2*(n + 1)*(n + 2)/7
Find u, given that -68/7*u**2 + 100/7*u - 48/7 + 17/7*u**3 - 1/7*u**4 = 0.
1, 2, 12
Let x = -14 - -11. Let i(v) = -3*v**5 + 10*v**4 - 4*v**3 - 3*v + 3. Let l(k) = -7*k**5 + 20*k**4 - 8*k**3 - 5*k + 5. Let w(r) = x*l(r) + 5*i(r). Factor w(z).
2*z**3*(z - 1)*(3*z - 2)
Let q be (-291)/(-36) + 184/(-23). Let a(l) be the second derivative of 0*l**5 + 0 + 1/120*l**6 + 6*l + 0*l**2 - 1/16*l**4 - q*l**3. Factor a(o).
o*(o - 2)*(o + 1)**2/4
Let z(f) = -6*f**3 - 3*f**2 + 6*f - 3. Let k(n) be the first derivative of 9*n**2 - 2 - 17/4*n**4 - 3*n**3 - 8*n. Let x(t) = -3*k(t) + 8*z(t). Factor x(b).
3*b*(b - 1)*(b + 2)
Let j(k) be the second derivative of -k**5/100 - k**4/60 + k**3/30 + k**2/10 - 303*k. Factor j(s).
-(s - 1)*(s + 1)**2/5
Determine k so that 13*k + 35*k**2 - 5*k**4 + 4*k**3 + 17*k - 4*k**3 = 0.
-2, -1, 0, 3
Suppose -10*v = -13*v + 6. Determine p, given that 4*p + 0*p**2 + 4*p**v + 2 - 4*p**3 + 1 - 7 = 0.
-1, 1
Suppose -578/11 - 2/11*v**2 - 68/11*v = 0. What is v?
-17
Suppose 0 = 6*u + 104 - 122. Let k(q) be the third derivative of 0*q + 0 - 4*q**2 - 1/390*q**5 + 0*q**u - 1/156*q**4. Solve k(j) = 0.
-1, 0
Factor -52/7 - 204/7*z**2 + 207/7*z - 4/7*z**3.
-(z + 52)*(2*z - 1)**2/7
Let v(t) = -3*t**3 + 2*t**2 + t - 1. Let i(l) = -26*l**3 + 13*l**2 + 5*l - 5. Let u(w) = -i(w) + 5*v(w). Factor u(g).
g**2*(11*g - 3)
Suppose 8*l + 2 = 18. Let g = -127 - -212. Factor 2 - 9*z**l + g*z - 85*z + 10 + 3*z**3.
3*(z - 2)**2*(z + 1)
Suppose 3*x - 6 = 0, 2*w - 5 = -w + 2*x. Suppose w*s**5 + 1 - s**5 + 14*s**2 - 2*s**3 - 12*s**4 + 6*s**4 - 9 = 0. What is s?
-1, 1, 2
Let h(m) be the second derivative of m**4/30 + 8*m**3/5 + 2*m - 53. Factor h(n).
2*n*(n + 24)/5
Let m(b) be the third derivative of 0*b**3 + 0*b + 1/10*b**5 + 0 - 1/18*b**4 - 7/180*b**6 + 4*b**2. Factor m(w).
-2*w*(w - 1)*(7*w - 2)/3
Let x(i) be the first derivative of 0*i**2 + 1/14*i**4 + 0*i - 6 - 2/21*i**3. Factor x(p).
2*p**2*(p - 1)/7
Let c(o) be the second derivative of -3*o**7/14 + 23*o**6/15 - 67*o**5/60 - 55*o**4/9 + 14*o**3/9 + 8*o**2/3 + 121*o + 1. Determine q so that c(q) = 0.
-1, -2/9, 1/3, 2, 4
Let n = -5 - -14. Suppose 6*a - 652 + 88 = 0. Factor -a*l**2 - 10*l + n + 21 + 95*l**2 - 5.
(l - 5)**2
Let k(z) be the third derivative of z**8/168 - 11*z**7/45 + 1663*z**6/540 - 2329*z**5/270 + 86*z**4/9 - 16*z**3/3 + 16*z**2. Let k(a) = 0. Calculate a.
1/3, 1, 12
Let n(c) be the second derivative of -c**7/210 - 7*c**6/300 - c**5/200 + 7*c**4/120 + c**3/20 - 246*c. Determine m so that n(m) = 0.
-3, -1, -1/2, 0, 1
Factor 18/7 + 2/21*a**3 - 2/7*a**2 - 6/7*a.
2*(a - 3)**2*(a + 3)/21
What is r in -2*r**2 + 106*r - 244*r + 106*r = 0?
-16, 0
Factor -24/11 + 2/11*t**2 - 2/11*t**3 + 16/11*t.
-2*(t - 2)**2*(t + 3)/11
Determine m so that 18*m - 8*m**4 - 18*m**3 + 2 + 9 - 5 + 26*m**2 - 24 = 0.
-3, -1, 3/4, 1
Suppose 6*a + 52 = -20. Let f be 2 - (-8)/(-6)*a/(-9). Suppose 0*t - 2/9*t**2 + f = 0. What is t?
-1, 1
Let j(f) = -3*f**2 + 2. Let y(x) = 24*x**2 + 49 - 9*x**2 - x - 60. Let u = 3 - 5. Let o(w) = u*y(w) - 11*j(w). Determine t, given that o(t) = 0.
-2/3, 0
Let k(q) = -7*q**3 - 12*q**2 + 48*q - 46. Let n(j) = -20*j**3 - 35*j**2 + 142*j - 137. Let h(m) = -17*k(m) + 6*n(m). Determine r, given that h(r) = 0.
-10, 2
Let p(h) be the first derivative of h**7/5460 + h**6/780 + h**5/390 + 20*h**3/3 + 22. Let l(y) be the third derivative of p(y). Let l(f) = 0. What is f?
-2, -1, 0
Let u(k) be the second derivative of -3*k**5/20 + k**4/2 + 5*k**3/2 - 9*k**2 + k - 15. Let u(h) = 0. What is h?
-2, 1, 3
Let c(x) be the third derivative of 1/24*x**6 + 0 + 15*x**2 - 5/3*x**4 + 0*x - 1/12*x**5 + 10*x**3. Determine a so that c(a) = 0.
-3, 2
Suppose 4*n + 8 = -0*d + 5*d, -3*d = 3*n - 21. Find p, given that -p**4 - 2*p**4 - 26 + 9*p**2 - 3*p + 20 + n*p**3 = 0.
-1, 1, 2
Let m be ((-244)/(-180))/((-4)/48). Let z = m + 50/3. What is r in -4/5*r - 2/5 - z*r**2 = 0?
-1
Let a(g) be the third derivative of -g**7/735 + 22*g**6/21 - 2420*g**5/7 + 1331000*g**4/21 - 146410000*g**3/21 + 425*g**2. Factor a(q).
-2*(q - 110)**4/7
Suppose 0 = 8*r - 15*r - 7. Let a be 5/(-12)*8*(-2 - r). Factor 4/3 + 2/3*o**3 + 8/3*o**2 + a*o.
2*(o + 1)**2*(o + 2)/3
Let s be (25/78)/(-5)*3/15. Let v = 307/390 - s. Factor -2/5*t**4 + v*t + 0*t**2 + 2/5 - 4/5*t**3.
-2*(t - 1)*(t + 1)**3/5
Let m(n) = -1. Let y(p) = p - 2. Let u be y(3). Let w(t) = 5*t**3 - 1