*2 + 6*c + 2*c**2 + 8*c**2 + 0*c.
2*c*(c + 1)*(c + 3)
Suppose -4*w - 34 + 42 = 0. Let t(r) be the first derivative of -1/12*r**4 - 4/3*r**2 - w + 4/3*r + 5/9*r**3. Factor t(h).
-(h - 2)**2*(h - 1)/3
Suppose -5 = -u + 12. Let q = u - 8. Determine a so that 4*a**2 - q + 0*a**2 - 4*a**2 - a**2 - 6*a = 0.
-3
Let l(j) be the third derivative of 2*j**3/3 + 8*j**2. Let r(d) = d**3 + d**2 - d + 8. Let y(k) = 9*l(k) - 4*r(k). Find h such that y(h) = 0.
-1, 1
Suppose -l = l - 4*z, 5*l + z = 22. Let n be ((-6)/(-54))/(2/6)*l. Factor -n*g + 0*g**3 + 2*g**2 - 2/3*g**4 + 0.
-2*g*(g - 1)**2*(g + 2)/3
Let j(s) = 3*s - 9. Let q(k) = 4*k - 9. Let p(l) = -5*j(l) + 4*q(l). Let z be p(-6). Factor -9/2*d + 9/2*d**2 - 3/2*d**z + 3/2.
-3*(d - 1)**3/2
Let q(x) be the third derivative of x**5/12 - 5*x**4/8 + 5*x**3/3 - 2*x**2 + 3. Factor q(j).
5*(j - 2)*(j - 1)
Let l(s) = -s**5 - 2*s**4 + s**3 + s**2. Let d(o) = 7*o**5 + 22*o**4 - 15*o**3 - 75*o**2. Let z(y) = d(y) + 3*l(y). Factor z(w).
4*w**2*(w - 2)*(w + 3)**2
Factor -1/5*h**3 + 14/5*h - 7/5*h**2 + 48/5.
-(h - 3)*(h + 2)*(h + 8)/5
Let x be -4 - (-120)/28 - (-515)/35. Let b be (x/30)/(1/8). Find g, given that -10/7*g**3 + 12/7*g - 19/7*g**2 + 9/7*g**b + 4/7 + 4/7*g**5 = 0.
-2, -1/4, 1
Let h(y) = 3*y**2 - 4*y - 3. Let u = 21 + -19. Let j(z) = -9*z + 19*z - 6*z - u*z**2 + 3. Let w(d) = 3*h(d) + 4*j(d). Determine g, given that w(g) = 0.
-3, -1
Let h(y) = 2*y**3 + 4*y**2 + y - 2. Let k be h(-2). Let q be k - (0 + (-50)/11). Factor -q*x**3 - 6/11*x**2 - 2/11*x**4 - 2/11*x + 0.
-2*x*(x + 1)**3/11
Suppose 5*p - 18 = -8. Find t such that 5*t**4 - 4*t + 10*t**4 + 10*t**p - 8*t**3 - 13*t**4 = 0.
0, 1, 2
Let x = -2 - -12. Let w(r) = r**2 - 11*r + 10. Let z be w(x). Solve 10*k**2 + z*k**2 - 9*k**2 = 0 for k.
0
Let n(r) be the first derivative of r**6/180 - r**5/10 + 3*r**4/4 - 2*r**3/3 + 8. Let s(i) be the third derivative of n(i). Factor s(a).
2*(a - 3)**2
Find u such that 79*u + 996 + 77*u + 3*u**2 + 1032 = 0.
-26
Suppose 82/3*o**2 - 2/3*o**3 + 50/3*o**5 - 16*o + 8/3 - 30*o**4 = 0. What is o?
-1, 2/5, 1
Solve -5/2*j**4 + 0 + 10*j**2 + 1/2*j**3 - 2*j = 0.
-2, 0, 1/5, 2
Let d(v) be the third derivative of v**8/168 - v**7/45 + v**6/90 + 10*v**2 + 3*v. Factor d(f).
2*f**3*(f - 2)*(3*f - 1)/3
Let k(q) = 7*q**2 - 2*q + 4. Let l(u) = -12*u + 51. Let s be l(5). Let x(y) = -3*y**2 + y - 2. Let d(p) = s*x(p) - 4*k(p). Factor d(m).
-(m - 1)*(m + 2)
Let v = -36 + 56. Factor -10*q**3 - 5*q + v*q**2 - 5*q**2 + 0*q**2.
-5*q*(q - 1)*(2*q - 1)
Let r(b) be the first derivative of 0*b + 1/30*b**3 - 1/60*b**4 + 2 - 5/2*b**2 + 1/300*b**5. Let y(a) be the second derivative of r(a). Solve y(j) = 0 for j.
1
Let w(l) = l + 14. Let c be w(-11). Let n(a) = a**3 - a**2. Let v(d) = -d**5 - 2*d**3 + 4*d**2 - d. Let k(j) = c*v(j) + 12*n(j). Factor k(s).
-3*s*(s - 1)**2*(s + 1)**2
Let o(p) be the first derivative of -15 + 1/7*p**3 - 3/35*p**5 - 3/14*p**4 + 3/7*p**2 + 0*p. Solve o(i) = 0.
-2, -1, 0, 1
Let y(h) be the first derivative of -h**5/5 + h**3 + h**2 + 352. Solve y(c) = 0.
-1, 0, 2
Let p be (262/(-36))/(2/(-6)). Let g = p - 37/2. Factor 2/3*u**3 - g*u**2 - 8/3 + 16/3*u.
2*(u - 2)**2*(u - 1)/3
Suppose 18*m - 36 - 56 = -20. Suppose 8/11*n**2 + 0 + 22*n**m - 8*n**3 + 0*n = 0. What is n?
0, 2/11
Let r(k) be the second derivative of 5*k**4/12 + 5*k**3/2 + 45*k**2/2 + 22*k. Let n(a) = a. Let y(s) = 15*n(s) + r(s). Factor y(f).
5*(f + 3)**2
Let p = 3213/4180 - 7/220. Let v(q) be the first derivative of -p*q**5 + 12/19*q**2 - 46/57*q**3 + 8/19*q - 8 - 33/19*q**4. Let v(f) = 0. What is f?
-1, -2/7, 2/5
Let q(m) be the second derivative of -m**5 + 4*m**4 - 6*m**3 + 4*m**2 + 5*m + 42. Factor q(b).
-4*(b - 1)**2*(5*b - 2)
Solve -14/5*x**3 + 8/5*x + 24/5*x**2 + 0 = 0.
-2/7, 0, 2
What is m in 1/4*m**2 - 5*m + 9 = 0?
2, 18
Let r(s) be the first derivative of s**5 - 5*s**4/4 - 10*s**3 + 10*s**2 + 40*s + 182. Let r(h) = 0. What is h?
-2, -1, 2
Let n(t) be the first derivative of -13/24*t**3 + 20 - 1/8*t - 3/8*t**2 - 3/8*t**4 - 1/10*t**5. Factor n(a).
-(a + 1)**2*(2*a + 1)**2/8
Let t(n) = 15*n**2 - 20*n + 65. Let x(g) = g**2 + g + 2. Let u(d) = -t(d) + 10*x(d). Suppose u(p) = 0. What is p?
3
Factor 5*w**4 - 5*w**2 - 6*w + 46*w - 30*w**2 - 15 + 5*w**2.
5*(w - 1)**3*(w + 3)
Let m be (9/(-45))/(56/(-160)). Factor m*r + 26/7*r**2 + 0.
2*r*(13*r + 2)/7
Let i(r) = -3*r**3 + 2*r**2 + 123*r - 165. Let s(w) = 2*w**3 - 62*w + 82. Let h(p) = 2*i(p) + 5*s(p). Suppose h(f) = 0. What is f?
-5, 2
Let v be 25*((44 - 50) + (-62)/(-10)). Let i(m) be the second derivative of -v*m + 0 + m**2 - 1/12*m**4 + 1/6*m**3. Factor i(b).
-(b - 2)*(b + 1)
Let h(w) = 6*w**2 + 5. Let f(u) = 7*u**2 + 6. Let g(x) = -5*f(x) + 6*h(x). Let g(r) = 0. Calculate r.
0
Let n(d) be the second derivative of d**5/4 + 20*d**4/3 + 145*d**3/6 + 35*d**2 - 11*d + 4. Factor n(f).
5*(f + 1)**2*(f + 14)
Let j(a) be the second derivative of -3*a**5/110 + 26*a**4/11 + 107*a**3/11 + 162*a**2/11 - 84*a - 1. Let j(r) = 0. What is r?
-1, 54
Let c be 3*4/(-12) - -2. Let y be 92/14 - 6/c. Let 6/7*v**2 - 16/7*v**3 + y*v + 0 + 6/7*v**4 = 0. What is v?
-1/3, 0, 1, 2
Let a = 6 - 8. Let y be 4 - 1/a*-2. Determine n so that 0 - 1/5*n - 1/5*n**y - 2/5*n**2 = 0.
-1, 0
Let w(x) be the third derivative of -28*x**2 - 149/60*x**6 + 0*x + 243/2*x**3 + 29/210*x**7 - 1/336*x**8 - 567/8*x**4 + 207/10*x**5 + 0. Factor w(b).
-(b - 9)**3*(b - 1)**2
Let d(s) be the second derivative of s**4/24 + 31*s**3/12 + 15*s**2/2 - 68*s - 2. What is b in d(b) = 0?
-30, -1
Let q(k) be the second derivative of 5*k - 1/25*k**5 - 1/30*k**4 + 2/15*k**3 + 1/75*k**6 + 0 + 0*k**2. Factor q(s).
2*s*(s - 2)*(s - 1)*(s + 1)/5
Factor 275*f - 149*f**2 + 0*f**3 - 56*f + 3*f**4 + 13*f**3 + 98 - 8.
(f - 3)**2*(f + 10)*(3*f + 1)
Factor o**2 + 27*o + 12544 - 195*o - 29*o - 27*o.
(o - 112)**2
Let k be 7/((-70)/4)*(-3 - -2) + 0. Factor -4/5*b + k + 2/5*b**2.
2*(b - 1)**2/5
Factor -1/2 + r - 1/2*r**2.
-(r - 1)**2/2
Let s = -21 - -21. Suppose s = 2*g + 29 - 33. Determine j, given that -2*j + g + 1/2*j**2 = 0.
2
Let k(o) = o**4 - o**3 + 2*o + 1. Let l(z) = 5*z**4 - 59*z**3 + 100*z**2 + 38*z - 131. Let b(p) = 5*k(p) + l(p). Suppose b(h) = 0. Calculate h.
-1, 7/5, 3
Let m(g) be the third derivative of g**5/100 + 3*g**4/10 - 13*g**3/10 + 379*g**2. Factor m(c).
3*(c - 1)*(c + 13)/5
Let m(c) be the second derivative of -c**8/10920 + c**6/780 - c**5/390 - c**3 + 2*c. Let d(n) be the second derivative of m(n). Factor d(h).
-2*h*(h - 1)**2*(h + 2)/13
Suppose -2*k - d + 88 = d, 4 = -4*d. Factor -6*f**5 + 0 - 1 - 9 - 30*f**4 + 70*f**3 + 11*f**5 - 80*f**2 + k*f.
5*(f - 2)*(f - 1)**4
Let h(s) be the first derivative of 2*s**3/15 + 28*s**2 + 1960*s + 81. Determine z so that h(z) = 0.
-70
Let n be (35/210)/((-1)/(-18)). Solve 0*h**n + 4/3*h - 2/3*h**4 + 2*h**2 + 0 = 0.
-1, 0, 2
Let c(d) = d**2 + d - 3. Suppose -10*s + 45 = -7*s. Let f(w) = 1. Let a(q) = s*f(q) + 5*c(q). Suppose a(x) = 0. What is x?
-1, 0
Let y(c) = -c - 5. Let z be y(-4). Let w be 1 - (0 + -2) - z. Suppose -4*m**2 - 2*m**w + 6*m**2 - 3*m**3 + 3*m**3 = 0. Calculate m.
-1, 0, 1
Let u = -105 + 100. Let l(k) = -5*k**3 + 6*k - 14. Let q(y) = -4*y**3 - y**2 + 7*y - 13. Let r(b) = u*l(b) + 6*q(b). Factor r(d).
(d - 2)**3
Let q be 264/45 - (-22)/165 - 3. Let z(t) be the second derivative of 0 - 8*t - 6*t**2 + 1/3*t**4 - 4/3*t**q. Solve z(w) = 0 for w.
-1, 3
Let -2*f**2 + 10/3*f**4 - 4/3*f**3 + 0*f + 0 = 0. What is f?
-3/5, 0, 1
Suppose -2*l = 5*r - 11, 6*l = -r + l - 7. Let j(a) = 11*a**2 - 8*a - 3. Let n be j(2). Factor -5*p + 2*p**r - n*p**2 + 23*p**2 + p.
2*p*(p - 2)*(p + 1)
Let j = -26 + 27. Let p be 4/18 - (j + 0)/(-36). Factor 1/4*x**4 - 1/4*x + 0 - 1/4*x**2 + p*x**3.
x*(x - 1)*(x + 1)**2/4
Let u(b) = b**2 + 6*b + 2. Let w be u(-7). Suppose -v + w = -3*o - 7, 4*v + 4*o = 0. Factor -3*z**2 + 2*z**v - 4*z**4 + 0*z**4 + z**2 - 4*z**3.
-2*z**2*(z + 1)**2
Let g(r) = -20*r - 13. Let t be g(-1). Let d(b) be the second derivative of 0 + 0*b**6 - 9/20*b**5 - b + 0*b**3 + 1/14*b**t + 0*b**2 + 1/2*b**4. Factor d(p).
3*p**2*(p - 1)**2*(p + 2)
Let c be ((-6)/44)/(182/(-3003)). Factor 3/4*k + 0 + c*k**2.
3*k*(3*k + 1)/4
Let s(b) = -16*b**4 - 1824*b**3 - 311892*b**2 - 23704704*b - 675584040. Let o(t) = -t**4 + t**2 + 2. Let h(n) = 12*o(n) - s