 -w**6/54 - 2*w**5/45 + w**4/36 + 2*w**3/27 - 11. Let g(i) = 0. Calculate i.
-2, -1, 0, 1
Let i(q) = -5*q**2 - 65*q + 25. Let f(g) = -g**2 - 16*g + 6. Let x(z) = -25*f(z) + 6*i(z). Solve x(u) = 0.
0, 2
Let j(d) be the second derivative of -d**4/18 + 4*d**3/9 - 4*d**2/3 - 4*d. Factor j(l).
-2*(l - 2)**2/3
Let i(j) be the second derivative of -3*j + 0 + 1/9*j**3 - 1/36*j**4 + 1/2*j**2. Factor i(u).
-(u - 3)*(u + 1)/3
Let a(h) = -h**2 - 2*h + 2. Let m be a(2). Let k(w) = w**2 + 5*w - 6. Let y be k(m). Find p such that p**2 + y - 1/2*p - 1/2*p**3 = 0.
0, 1
Let q(t) be the third derivative of t**6/270 - t**5/45 - t**4/6 - 10*t**3/27 - 34*t**2. Let q(n) = 0. Calculate n.
-1, 5
Factor 4*h**2 + 16/7 - 64/7*h.
4*(h - 2)*(7*h - 2)/7
Let x be (-6 + -2)/(-2)*(-10)/(-30). Let t(z) be the third derivative of -1/3*z**4 + 3*z**2 + x*z**3 + 0 + 1/30*z**5 + 0*z. Factor t(s).
2*(s - 2)**2
Determine a so that 0 - 2/3*a**3 + 0*a - 2/9*a**4 - 4/9*a**2 = 0.
-2, -1, 0
Let c be -3 + -1 - (-24)/3. Find x such that 0*x**3 + 0*x + 2/5*x**c - 4/5*x**2 + 2/5 = 0.
-1, 1
Let w(b) be the second derivative of -b**6/20 - 3*b**5/10 - 3*b**4/4 - b**3 - 3*b**2/4 - 3*b. Suppose w(g) = 0. What is g?
-1
Let w(d) be the first derivative of -1/7*d**2 - 1/14*d**4 + 0*d - 1 - 4/21*d**3. Solve w(i) = 0 for i.
-1, 0
Solve 12/11*a**2 + 16/11 + 2/11*a**3 + 24/11*a = 0.
-2
Let 0 + 8/11*x**2 + 0*x + 2*x**3 = 0. What is x?
-4/11, 0
Let w(l) = -4*l**2 + 6*l - 8. Let g(j) = 11*j**2 - 18*j + 24. Let h(o) = -6*g(o) - 17*w(o). Factor h(i).
2*(i - 1)*(i + 4)
Factor -13/7*y**2 + 60/7*y - 10/7*y**3 - 36/7 - 1/7*y**4.
-(y - 1)**2*(y + 6)**2/7
Let y = 1151/1524 - 2/381. Factor 9/2*i**2 - 3*i + 3/4 - 3*i**3 + y*i**4.
3*(i - 1)**4/4
Let m(b) be the second derivative of -b**6/540 - b**5/180 - b**3/3 + 3*b. Let g(v) be the second derivative of m(v). Factor g(n).
-2*n*(n + 1)/3
Factor -3*b**3 + 9*b + 13*b**3 + 16*b**2 + 0*b**4 + 2*b**4 - b.
2*b*(b + 1)*(b + 2)**2
Let i = 4 + -9. Let t(y) = 7*y**2 + 11*y - 1. Let n(v) = v**2 + v - 1. Let q(w) = i*n(w) + t(w). Factor q(l).
2*(l + 1)*(l + 2)
Let l(o) be the third derivative of o**6/60 + o**5/12 + o**4/6 + o**3/6 + 8*o**2. Determine v so that l(v) = 0.
-1, -1/2
Let j(t) be the third derivative of 0*t + 0*t**3 - 1/12*t**4 - 2/105*t**7 + 6*t**2 + 1/168*t**8 + 1/15*t**5 + 0*t**6 + 0. Solve j(l) = 0.
-1, 0, 1
Let k(p) be the third derivative of 0*p**6 + 0 - 1/315*p**7 + 0*p + 1/1008*p**8 + 0*p**5 - p**2 + 0*p**4 + 0*p**3. Factor k(y).
y**4*(y - 2)/3
Suppose 0*m + 3*i = 5*m - 25, 4*m = 2*i + 18. Find f such that 3*f - f**3 - 4*f + 0*f**m - 3*f**2 - f = 0.
-2, -1, 0
Let f(v) be the third derivative of 0*v + 0*v**3 + 0 - 2/105*v**7 + 1/15*v**5 - 3*v**2 + 1/12*v**4 - 1/168*v**8 + 0*v**6. Solve f(q) = 0 for q.
-1, 0, 1
Let y(a) be the second derivative of -a**7/2520 - a**6/1080 + 2*a**3/3 + a. Let k(i) be the second derivative of y(i). Solve k(m) = 0.
-1, 0
Let q be (78/(-8))/(9/(-2)) - 2. Solve 0*d - 1/6*d**2 + 1/6*d**5 + q*d**4 - 1/6*d**3 + 0 = 0.
-1, 0, 1
Let m(q) be the second derivative of 243*q**7/49 + 648*q**6/35 + 1809*q**5/70 + 355*q**4/21 + 124*q**3/21 + 8*q**2/7 + 8*q. Find d, given that m(d) = 0.
-1, -2/9
Let f(s) be the third derivative of -s**6/480 + s**4/32 + s**3/12 - 8*s**2. Suppose f(d) = 0. Calculate d.
-1, 2
Let z = -22/9 - -128/45. Factor 0 - 2/5*x - z*x**2.
-2*x*(x + 1)/5
Let t(k) be the third derivative of -k**8/1176 + k**7/735 + k**6/140 - k**5/210 - k**4/42 + 5*k**2. Suppose t(o) = 0. What is o?
-1, 0, 1, 2
Let g(q) = 3*q**3 - 3*q + 3. Let r(d) = -d**4 + 2*d**3 + d**2 - 2*d + 4. Let j(k) = 4*g(k) - 3*r(k). Find t such that j(t) = 0.
-2, -1, 0, 1
Factor -2*j**3 + 2*j**3 + 4 + 0*j**3 + 2*j**3 + 8*j**2 + 10*j.
2*(j + 1)**2*(j + 2)
Let o(d) be the second derivative of -d**6/60 + 3*d**5/40 - d**4/24 - d**3/4 + d**2/2 + 7*d. Factor o(a).
-(a - 2)*(a - 1)**2*(a + 1)/2
Let b(p) be the second derivative of -p**4/84 + p**3/7 + 13*p. Factor b(y).
-y*(y - 6)/7
Let d(t) = t - 4. Let q be d(8). Suppose 4*f - 1 = 4*w - 5, -3*w + 17 = q*f. Let 1/2 + 1/4*m - 1/4*m**f = 0. Calculate m.
-1, 2
Let d(r) be the second derivative of r**5/50 + r**4/6 - 13*r**3/15 + 7*r**2/5 + 22*r. What is u in d(u) = 0?
-7, 1
Let p(h) = h**2 - h. Let r be p(2). Suppose 2*o - 8 = 4*d - r*o, 2*o = -5*d + 25. Solve 6/7*g**4 - 4/7*g**2 - 6/7*g + 2/7*g**5 + 4/7*g**d - 2/7 = 0 for g.
-1, 1
Suppose 33*k = -3*k + 72. Factor -1/2*b - 1/4 - 1/4*b**k.
-(b + 1)**2/4
Let p(h) = -h**2 - 5*h - 2. Let c be 38/(-10) - 1/5. Let a be p(c). What is y in a*y**4 - y - 2*y**2 + 6*y - y**5 - 4*y = 0?
-1, 0, 1
Factor 18/5*h**4 + 84*h**3 + 616*h + 2714/5*h**2 + 968/5.
2*(h + 11)**2*(3*h + 2)**2/5
Let h(l) = -5*l**3 - 4*l**2 + l - 3. Let u(y) = -9*y**3 - 8*y**2 + y - 6. Let n(m) = 11*h(m) - 6*u(m). Let d be n(5). Factor -4*a**3 + 10*a**2 - d*a**2 + a + a.
-a*(a - 2)*(4*a + 1)
Factor -48*a + a**3 + 24*a + 20*a - 3*a**2.
a*(a - 4)*(a + 1)
Let n(p) be the first derivative of -p**4 + 6*p**2 - 8*p - 30. Let n(f) = 0. Calculate f.
-2, 1
Suppose 2*y + 5*w = 23 + 1, 4*y + 2*w - 16 = 0. Suppose 3*p + 4*i - 22 = 0, 9 - 3 = -3*p + 3*i. Determine z, given that -z - z - 2*z + z**p - 6 + z**y = 0.
-1, 3
Factor -g**4 + 0 + 0*g**2 + 1/2*g**5 + 0*g + 1/2*g**3.
g**3*(g - 1)**2/2
Let l(z) be the second derivative of -z**7/252 + z**6/90 - z**5/120 - 10*z. Solve l(k) = 0 for k.
0, 1
Let z(g) = 15*g**4 - 32*g**3 + 88*g**2 - 85*g + 36. Let r(u) = 4*u**4 - 8*u**3 + 22*u**2 - 21*u + 9. Let i(p) = 22*r(p) - 6*z(p). Factor i(t).
-2*(t - 3)**2*(t - 1)**2
Let u be 18/40 + (-5)/25. Suppose -9*g + 6*g = -15. What is y in -u - 1/4*y**g - 1/4*y - 1/4*y**4 + 1/2*y**3 + 1/2*y**2 = 0?
-1, 1
Let y(l) be the second derivative of l**7/14 - l**6/10 - 9*l**5/20 + l**4/4 + l**3 - 8*l. Determine d so that y(d) = 0.
-1, 0, 1, 2
Let j = 4/483 - -2/23. Let x(w) be the second derivative of -1/10*w**6 - 1/6*w**4 + j*w**7 + w + 0 - 9/20*w**5 + 0*w**2 + 0*w**3. What is m in x(m) = 0?
-1, -1/4, 0, 2
Let x(v) = 2*v**3 + 5*v**2 - 7. Let c(f) = -f**3 + f**2 - f + 1. Let h(d) = c(d) + x(d). Let h(g) = 0. Calculate g.
-6, -1, 1
Let y(h) = 2*h**2 + 2*h - 1. Let k be (10/(-25))/(2/(-20)). Let z(g) = -k - g + 0*g + 5*g**2 + 6*g + 2. Let q(m) = -8*y(m) + 3*z(m). Find v such that q(v) = 0.
-2, 1
Let p(h) be the third derivative of -1/24*h**5 - h**2 + 0*h + 0*h**3 - 1/48*h**4 + 0. Find l such that p(l) = 0.
-1/5, 0
Let y(u) be the third derivative of 0*u**3 - 1/600*u**6 + 0 + 1/120*u**4 + 0*u - 1/1050*u**7 + 1/300*u**5 + 3*u**2. Suppose y(a) = 0. Calculate a.
-1, 0, 1
Suppose m + 13 = 4. Let b(k) = k + 12. Let u be b(m). Factor -4/5*f - 2/5*f**u + 6/5*f**2 + 0.
-2*f*(f - 2)*(f - 1)/5
Let z be (-12)/20 + (-46)/(-60). Let b(f) be the third derivative of -4*f**2 - f**3 - z*f**4 + 0 - 1/90*f**5 + 0*f. Factor b(l).
-2*(l + 3)**2/3
Suppose -2*i + 3*i - 2 = 0. Suppose 3*l = -i + 8. Factor -2*o + 2*o**l + 1/2.
(2*o - 1)**2/2
Let k(a) be the second derivative of -a**6/75 - a**5/25 + 2*a**4/15 + 8*a**3/15 - 12*a. Factor k(p).
-2*p*(p - 2)*(p + 2)**2/5
Let b(y) be the second derivative of -2*y - 1/20*y**4 + 1/10*y**3 - 1/10*y**2 + 1/100*y**5 + 0. Find k such that b(k) = 0.
1
Let f(l) be the third derivative of -l**5/300 + l**4/120 - l**2 - 25*l. Factor f(s).
-s*(s - 1)/5
Determine g so that 0 + 4*g**2 - 12/5*g**3 + 16/5*g**5 - 4/5*g - 4*g**4 = 0.
-1, 0, 1/4, 1
Let j be (-3)/(36/123) - 2. Let s = j - -13. Factor -1/4*n**3 + s*n**2 - 1/2*n + 0.
-n*(n - 2)*(n - 1)/4
Let z(l) be the second derivative of 1/180*l**5 + 0 + 0*l**2 - 1/6*l**3 + 0*l**4 + 2*l + 1/540*l**6. Let w(f) be the second derivative of z(f). Factor w(y).
2*y*(y + 1)/3
Let a be 14/10 + (-27)/(-45). Let q(g) be the first derivative of 2/15*g**3 - 1/5*g**a + 2 + 0*g. Factor q(n).
2*n*(n - 1)/5
Let t(u) = 20*u**3 - 20*u + 14. Let j(i) = -4*i**3 + 4*i - 3. Let b(a) = 14*j(a) + 3*t(a). Suppose b(q) = 0. What is q?
-1, 0, 1
Let k(n) = n**3 + n**2 - n - 1. Let r(u) = u**4 - 6*u**3 - 15*u**2 + 16*u + 40. Let v(g) = 12*k(g) + 3*r(g). Factor v(z).
3*(z - 3)**2*(z + 2)**2
Let o(s) be the second derivative of 5*s**7/42 - s**6/2 + 3*s**5/4 - 5*s**4/12 + 8*s. Factor o(k).
5*k**2*(k - 1)**3
Let z(x) = x**3 - 3*x**2 - 3*x - 4. Let p be z(4). Suppose 6*j - 3*j = p. Factor j + 0*y - 1/3*y**2.
-y**2/3
Let u(i) = -i**3 + 6*i**2 + 15*i + 