(g) = -g**3 + g**2 + g. Let x(s) = 2*a(s) - 18*u(s). Solve x(v) = 0.
-2, -1, 2/5
Let q(m) be the first derivative of 0*m - 1/5*m**5 + 0*m**2 + 1/2*m**4 - 1/3*m**3 - 2. Factor q(p).
-p**2*(p - 1)**2
Let w = 11 - 9. Factor -h**2 + 16*h**3 - 15*h**3 + w + 5*h + 5*h**2 + 0.
(h + 1)**2*(h + 2)
Let i = -167/8 + 21. Let k(m) be the first derivative of -i*m**4 + 1/24*m**6 - 1/4*m + 1/8*m**2 - 1/20*m**5 + 1/6*m**3 + 1. Suppose k(z) = 0. Calculate z.
-1, 1
Suppose -5 = -3*b + p, -p - 27 = -2*b - 24. Factor 12/7*u + 18/7 + 2/7*u**b.
2*(u + 3)**2/7
Suppose -8*r = -18 - 6. Factor -5/4*d**4 + 0*d**r + 5/2*d**2 + 5/2*d + 3/4 - 1/2*d**5.
-(d + 1)**4*(2*d - 3)/4
Let z(u) be the first derivative of -11/3*u**3 + 0*u - 1/2*u**4 + 4 + 1/2*u**2. Let r(s) = -3*s**3 - 21*s**2 + 2*s. Let g(x) = -6*r(x) + 11*z(x). Factor g(h).
-h*(h - 1)*(4*h - 1)
Let c(z) = -30*z**3 + 21*z**2 + 9*z + 24. Let b(h) = 6*h**3 - 4*h**2 - 2*h - 5. Let l(p) = -24*b(p) - 5*c(p). Factor l(k).
3*k*(k - 1)*(2*k - 1)
Suppose 0 = 36*a - 48*a. Factor 2/7*i**2 + 4/7*i + a.
2*i*(i + 2)/7
Let a(v) be the second derivative of -v**8/1176 + v**6/210 - v**4/84 - v**2 - 2*v. Let d(l) be the first derivative of a(l). Solve d(h) = 0.
-1, 0, 1
Let l be 3*4/4 + 0. Let x(g) be the second derivative of 3*g + 0 + 0*g**l + 1/24*g**4 + 0*g**2. Suppose x(h) = 0. Calculate h.
0
Suppose 3*p + 5*t = 6*p - 1, 0 = 2*p + 3*t - 7. Suppose 4*a + 2*a**2 + 12*a**2 - 4*a**p = 0. What is a?
-2/5, 0
Let u(b) be the second derivative of -b**4/30 + b**3/5 - 2*b**2/5 + 37*b. What is m in u(m) = 0?
1, 2
Let g(r) be the second derivative of r**5/180 + r**4/18 + 2*r**3/9 - 9*r**2/2 - 2*r. Let s(d) be the first derivative of g(d). Factor s(t).
(t + 2)**2/3
Let r(u) be the third derivative of -u**5/42 - u**4/42 - 9*u**2. Let r(d) = 0. Calculate d.
-2/5, 0
Suppose -4*y - 18 = w, 4*w + 0*y - 13 = y. Let s(f) be the first derivative of 2/3*f**3 - w*f + f**2 - 1/2*f**4 + 1. Suppose s(p) = 0. Calculate p.
-1, 1
Let n(j) = 15*j**2 - 16*j - 24. Let c(i) be the third derivative of 7*i**5/60 - i**4/3 - 2*i**3 - 6*i**2. Let r(k) = -7*c(k) + 3*n(k). Solve r(q) = 0.
-1, 3
Solve 6/5*i**2 - 9/5*i**3 - 9/5*i**4 + 0 + 6/5*i**5 + 0*i = 0 for i.
-1, 0, 1/2, 2
Let b be (-2)/(-8)*(-4)/(-20). Let j(o) be the second derivative of 1/12*o**4 + 0*o**2 + 0 - 3*o + 1/6*o**3 - b*o**5 - 1/30*o**6. What is k in j(k) = 0?
-1, 0, 1
Let v(s) be the first derivative of 2*s**5/5 + s**4/2 - 2*s**3/3 - s**2 - 5. Solve v(p) = 0 for p.
-1, 0, 1
Suppose 4*j + 7*j**2 + j**2 + 0*j + 4*j**3 = 0. Calculate j.
-1, 0
Let h(p) be the second derivative of -p**7/175 - p**6/150 - 3*p**2/2 + 4*p. Let i(o) be the first derivative of h(o). Factor i(n).
-2*n**3*(3*n + 2)/5
Determine f so that 9 - 15/2*f - 3/2*f**2 = 0.
-6, 1
Let u = -11 + 15. Suppose u*v = 4, 2*v - 2 = -5*c + 20. Factor -28*n**4 + 30*n**5 + 37*n**5 + c*n**3 - 18*n**5.
n**3*(7*n - 2)**2
Let j(g) = 2*g**3 - 10*g**2 + 2*g. Suppose 0 = -3*a + 2*f + 3, -f = 4*a - 2 - 2. Let v(k) = -k**2. Let r(i) = a*j(i) - 6*v(i). Factor r(m).
2*m*(m - 1)**2
Suppose 10/7*i**2 - 4/7 + 6/7*i = 0. Calculate i.
-1, 2/5
Let k(b) be the first derivative of 2*b**6/3 + 4*b**5/5 - b**4 - 4*b**3/3 + 6. Let k(x) = 0. What is x?
-1, 0, 1
Factor 29 - 15 + z**3 - 4*z**2 + 4*z + z - 16.
(z - 2)*(z - 1)**2
Let f(t) = -61*t**2 + 19*t + 5. Let d(x) = -41*x**2 + 13*x + 3. Let o(l) = 7*d(l) - 5*f(l). Let p(s) = s**2 - s. Let b(g) = o(g) - 6*p(g). Factor b(z).
2*(2*z - 1)*(3*z + 2)
Let n be (-5)/(-70)*2*4. Factor 0 + 2/7*j**3 + n*j + 6/7*j**2.
2*j*(j + 1)*(j + 2)/7
Let d(k) be the first derivative of k**4/8 - k**3/3 + k**2/4 + 4. Suppose d(l) = 0. Calculate l.
0, 1
Let y(k) be the third derivative of -k**7/1995 + 7*k**6/570 - 61*k**5/570 + 7*k**4/19 - 12*k**3/19 + 19*k**2. Factor y(z).
-2*(z - 6)**2*(z - 1)**2/19
Let t(h) be the third derivative of 1/5*h**5 - h**3 + 0 - 2*h**2 + 1/8*h**4 + 1/112*h**8 - 1/20*h**6 + 0*h - 1/35*h**7. Suppose t(a) = 0. What is a?
-1, 1, 2
Let h(s) = s**2 - 7*s. Let k be h(7). Let y(v) be the third derivative of -v**2 + k*v - 1/18*v**4 + 0 - 1/90*v**5 - 1/9*v**3. Determine w, given that y(w) = 0.
-1
Let i(u) = u**3 + 4*u**2 + 5*u + 4. Let t be i(-3). Let g(a) = -a. Let f be g(t). Factor -2 + 2 + d**f + d.
d*(d + 1)
Suppose 5*k + 42 = -3*t, -3 = -2*k + k. Let w = 23 + t. What is a in 4/5*a**2 + 0*a - 2/5*a**3 - 2/5*a**w + 0 = 0?
-2, 0, 1
Let d(u) be the first derivative of u**5/30 - u**4/24 - u**3/6 + u**2/12 + u/3 + 6. Factor d(b).
(b - 2)*(b - 1)*(b + 1)**2/6
Let u(z) = -z**2 - 1. Let i(b) = -10*b**2 - 4*b - 4. Let j(q) = -2*i(q) + 18*u(q). Factor j(l).
2*(l - 1)*(l + 5)
Factor 0*i - 3/7*i**2 + 3/7*i**3 + 0.
3*i**2*(i - 1)/7
Let c(f) = f**4 - f**3 - 4*f + 2. Let g(j) = -j**4 - j**3 - 1. Let h(o) = c(o) + 2*g(o). Let x(z) = z**3 + z. Let k(n) = -h(n) - 4*x(n). Factor k(i).
i**3*(i - 1)
Let u be 1 + -1 - (-2 + 3). Let l(b) = -b**2 - 7*b - 6. Let h(a) be the second derivative of a**3/6 + a**2/2 - 3*a. Let t(p) = u*l(p) - 6*h(p). Factor t(c).
c*(c + 1)
Let c(z) = -2*z + 36. Let n be c(0). Factor -12*l + n*l + 3*l**3 + 12 + 6*l**2 + 9*l**2.
3*(l + 1)*(l + 2)**2
Suppose 5*v = 4*x - 9, 3 = 4*x - 3*v + 4. Let b be (x/40)/(2/(-4)). Solve 1/5 + 4/5*u + 6/5*u**2 + b*u**4 + 4/5*u**3 = 0.
-1
Let p be (-2)/(-4) + (-12)/(-8). Factor 0*a**p - 10*a**4 + 11*a**4 - a**2.
a**2*(a - 1)*(a + 1)
Let t = -156 - -158. Suppose 2*f - 1/2*f**2 - t = 0. What is f?
2
Let p(r) be the first derivative of -r**9/7560 + r**7/2100 + 4*r**3/3 - 6. Let i(x) be the third derivative of p(x). Factor i(b).
-2*b**3*(b - 1)*(b + 1)/5
Factor -2/7*x**4 + 0*x**2 - 8/7*x + 0 + 6/7*x**3.
-2*x*(x - 2)**2*(x + 1)/7
Let w(q) be the third derivative of -q**6/12 - 7*q**5/30 - q**4/6 - 5*q**2. Determine k so that w(k) = 0.
-1, -2/5, 0
Let f(k) be the second derivative of 20*k**7/21 - 74*k**6/15 + 52*k**5/5 - 34*k**4/3 + 20*k**3/3 - 2*k**2 - 3*k. Solve f(i) = 0.
1/5, 1/2, 1
Let h(n) be the second derivative of -n**6/165 - n**5/110 + 5*n**4/66 - n**3/11 + 13*n. Factor h(d).
-2*d*(d - 1)**2*(d + 3)/11
Suppose 2*d = 5*w - 10, 0*d - 4*d = -4*w - 4. Factor 9*a**2 + 2*a + 0 + 15/2*a**3 - 25/4*a**w.
-a*(a - 2)*(5*a + 2)**2/4
Let s(j) be the third derivative of j**9/181440 - j**8/60480 - j**7/3780 + j**6/540 - j**5/12 + 4*j**2. Let x(g) be the third derivative of s(g). Factor x(l).
(l - 2)*(l - 1)*(l + 2)/3
Factor 3/2*w - 1 - 1/2*w**2.
-(w - 2)*(w - 1)/2
Let a be (-14)/49 + 16/7. Solve -2/5*b**4 + 2/5*b**3 + 4/5 - a*b + 6/5*b**2 = 0.
-2, 1
Find i, given that 28*i**5 + 51*i**3 + 4*i**4 - 48*i - 17*i**5 - 14*i**5 - 13*i**4 - 27*i**2 + 36 = 0.
-6, -1, 1, 2
Let v(b) be the second derivative of -b**5/75 - 3*b**4/40 - b**3/15 - 5*b**2/2 - 4*b. Let n(z) be the first derivative of v(z). Factor n(d).
-(d + 2)*(4*d + 1)/5
Let h(c) be the second derivative of c**6/480 + c**5/120 - c**4/24 + c**3/6 - 2*c. Let x(z) be the second derivative of h(z). Suppose x(v) = 0. Calculate v.
-2, 2/3
Suppose -9*q = -6*q - l - 9, 18 = 3*q + 2*l. Suppose 0 + 2/9*t - 2/9*t**q - 2/9*t**3 + 2/9*t**2 = 0. What is t?
-1, 0, 1
Let z = -17 - -19. Factor 6*v + 0*v**2 + v**z - 4*v**2 - 3.
-3*(v - 1)**2
Suppose -p - 36 = -3*p. Let o be 2 + (-3 - p/(-5)). Let 12/5*l - o*l**2 + 6/5*l**3 - 4/5 - 1/5*l**4 = 0. What is l?
1, 2
Let o(f) be the second derivative of f**7/98 + 2*f**6/35 + 3*f**5/28 + f**4/14 - 10*f. Solve o(v) = 0.
-2, -1, 0
Let h = 30 - 21. Factor 3*c**2 - h*c + 64*c**3 - 5 + 3*c**4 - 1 - 55*c**3.
3*(c - 1)*(c + 1)**2*(c + 2)
Let o be -4 + (8 - (0 - -2)). Factor 0*a**3 + 1/2*a**o - 1/4 + 0*a - 1/4*a**4.
-(a - 1)**2*(a + 1)**2/4
Let w(u) be the second derivative of u**6/240 - u**5/20 + 13*u**4/96 - u**3/8 - 12*u. Find d, given that w(d) = 0.
0, 1, 6
Factor 2/5*g - 12/5 + 2/5*g**2.
2*(g - 2)*(g + 3)/5
Let x(d) = 75*d**4 - 270*d**3 + 5*d**2 + 250*d - 70. Let q(r) = r**4 - r**3 - r**2 + r + 1. Let k(a) = 30*q(a) - x(a). Suppose k(c) = 0. Calculate c.
-1, 2/3, 5
Let -6/5 - 3*q - 12/5*q**2 - 3/5*q**3 = 0. What is q?
-2, -1
Suppose -12 = -3*t + 3. Let o(k) be the second derivative of 0*k**2 - 1/24*k**4 - 1/60*k**6 + 0 + 1/20*k**t + 0*k**3 - 3*k. Factor o(i).
-i**2*(i - 1)**2/2
Let r(g) = -g**4 + 3*g**3 + 8*g**2 - 6*g - 10. Let d(o) = 4*o**4 - 8*o**3 - 25*o**2 + 19*o + 31. Let l(n) = 4*d(n) + 14*r(n). Factor l(j).
2*(j - 1)*(j + 