 second derivative of -2*d - 1/6*d**3 + 0*d**2 - k*d**4 + 0. Factor r(v).
-v*(4*v + 1)
Let l(p) = p + 10. Let f be l(-7). Let h(z) be the third derivative of -1/12*z**f + 1/48*z**4 + 0*z - 1/240*z**6 + 1/120*z**5 + 2*z**2 + 0. Factor h(r).
-(r - 1)**2*(r + 1)/2
Let d(b) be the second derivative of b + 0 + 1/60*b**5 + 0*b**2 + 1/36*b**4 + 0*b**3. Solve d(i) = 0 for i.
-1, 0
Let q(p) = -p**4 + p**3 + p**2 - 11*p + 5. Let c(s) = 6*s - 3. Let a(l) = 5*c(l) + 3*q(l). Factor a(n).
-3*n*(n - 1)**2*(n + 1)
Suppose 36*f = 40*f - 32. Find b, given that -8/3*b - 2*b**3 - 10/3*b**4 + f*b**2 + 0 = 0.
-2, 0, 2/5, 1
Let g(q) be the first derivative of q**4/30 - q**2/15 + 12. Factor g(i).
2*i*(i - 1)*(i + 1)/15
Suppose 0 = 4*q + 5*t - 92, 80 = -2*q + 5*q + t. Suppose 5*l = l + q. Determine b so that -4 - l*b**2 - 11*b - 3*b - 2*b**4 - 11*b**2 - 10*b**3 = 0.
-2, -1
Let x(d) = -3*d**3 + 6*d**2 + 3*d - 1. Let t(g) = -3*g**3 + 6*g**2 + 3*g. Let i(z) = 5*t(z) - 6*x(z). Factor i(w).
3*(w - 2)*(w - 1)*(w + 1)
Let b = -16/57 - -18/19. Factor 2/9*c**3 + 4/9*c + 0 - b*c**2.
2*c*(c - 2)*(c - 1)/9
Let x(h) be the first derivative of -h**5/20 - 9*h**4/16 - 2*h**3/3 + 24. Factor x(f).
-f**2*(f + 1)*(f + 8)/4
Let u(a) be the first derivative of -a**6/240 - a**5/40 - a**4/16 + 2*a**3/3 - 2. Let v(x) be the third derivative of u(x). Factor v(n).
-3*(n + 1)**2/2
Suppose 5*w - 4*f + 8 = 38, -3 = w + f. Solve -d**2 + 3*d**3 + 5*d**2 - w*d - 5*d**3 = 0.
0, 1
Factor 0 + 4/7*b**2 + 0*b.
4*b**2/7
Let x be ((-1)/2)/((-3)/36*2). Factor -1/4*w**5 + 0*w + 1/4*w**x + 0 + 1/4*w**4 - 1/4*w**2.
-w**2*(w - 1)**2*(w + 1)/4
Let a(z) = -z**2. Let w(d) = 12*d**2. Let s(t) = 8*a(t) + w(t). Factor s(v).
4*v**2
Let j(x) be the second derivative of -x**7/210 + x**6/30 - 9*x**5/100 + 7*x**4/60 - x**3/15 + 31*x. Factor j(d).
-d*(d - 2)*(d - 1)**3/5
Factor -4 - 4 - 2*c + 3*c**3 - c**3 + 8*c**2.
2*(c - 1)*(c + 1)*(c + 4)
Let i(t) = 3*t**5 + 6*t**4 - 3*t**3 + 6*t**2 + 6*t + 6. Let n(v) = -v**5 - v**4 + v**3 - v**2 - v - 1. Let f(w) = -i(w) - 6*n(w). Factor f(q).
3*q**3*(q - 1)*(q + 1)
Let r(n) = n**3 + 2*n - 1. Let k be r(1). Let m(f) be the third derivative of 1/30*f**5 + 1/6*f**4 + 1/3*f**3 + 0*f + 0 - f**k. Solve m(l) = 0.
-1
Let w = 4041 - 206017/51. Let r = w - 2/17. Factor r*q + 4/3 + 1/3*q**2.
(q + 2)**2/3
Let i(y) = -y**2 + 16*y - 19. Let l(w) = w + 1. Let g(c) = 5*i(c) - 30*l(c). Determine t, given that g(t) = 0.
5
Let y(n) = -n**3 + n**2 - n + 2. Let m be y(0). Factor -m*r**2 + 3*r**2 - 2*r**2.
-r**2
Suppose 4*t + h - 24 = -71, -3*h - 33 = 3*t. Let p = -12 - t. Find z such that -3*z**3 - 1/2*z - 2*z**2 - 2*z**4 - 1/2*z**5 + p = 0.
-1, 0
Let m(j) be the second derivative of j**4/12 - j**2/2 - 14*j. Let m(i) = 0. What is i?
-1, 1
Let a = 1149/2 - 572. Factor 0*z**2 + 5/4*z - 1/2 + a*z**4 - 5/2*z**3 - 3/4*z**5.
-(z - 1)**4*(3*z + 2)/4
Let k(g) be the third derivative of -27*g**7/595 - 3*g**6/68 + 16*g**5/255 - g**4/51 + 17*g**2. Determine w, given that k(w) = 0.
-1, 0, 2/9
Suppose 0 = -3*g - 2*g + 10. Factor -4*j**3 - 12*j - 11*j - 9*j - 16 - 10*j**g - 10*j**2.
-4*(j + 1)*(j + 2)**2
Let h(o) be the first derivative of -2*o - 1/6*o**4 - 3 + 1/3*o**3 + 0*o**2. Let c(q) be the first derivative of h(q). Suppose c(n) = 0. Calculate n.
0, 1
Let f(i) be the first derivative of i**2 + 0*i**3 + 4 + 4/5*i**5 - 3/2*i**4 + 0*i. Suppose f(d) = 0. What is d?
-1/2, 0, 1
Let b(q) = -q**2 + 2*q + 3. Let z be b(3). Let g be (4 + z)*(-1)/(-1). Factor d**4 + 4*d**4 - 2*d**5 - d**g - 2*d**3.
-2*d**3*(d - 1)**2
Factor 4/17*k**2 + 0 + 6/17*k**3 + 2/17*k**4 + 0*k.
2*k**2*(k + 1)*(k + 2)/17
Let l be (-1 - -4) + 3 - 2. Suppose -l*h = 4*d - 4, -h - 4*d + 4 = 2*h. Factor h - 4/5*t + 2*t**3 - 6/5*t**2.
2*t*(t - 1)*(5*t + 2)/5
Let s(g) be the third derivative of -g**7/1155 - g**6/660 + g**5/110 + 5*g**4/132 + 2*g**3/33 - 3*g**2. Solve s(i) = 0 for i.
-1, 2
Let l(u) be the third derivative of -u**7/21 + u**6/48 + 5*u**5/48 + 5*u**4/96 + 8*u**2. Suppose l(a) = 0. Calculate a.
-1/2, -1/4, 0, 1
Let y(t) = -t**3 - 6*t**2. Let k be y(-6). Let a be 1/(-3 - k - -6). Find n such that a*n - 1/3*n**3 + 2/3 - 2/3*n**2 = 0.
-2, -1, 1
Let t(y) be the first derivative of 49*y**9/576 + 21*y**8/160 + 3*y**7/40 + y**6/60 + 2*y**3/3 - 3. Let o(b) be the third derivative of t(b). Factor o(x).
3*x**2*(7*x + 2)**3/4
Let a = 35 + -25. Suppose -5*d + 0 = -a. Factor -2/5*c**d - 2/5 + 4/5*c.
-2*(c - 1)**2/5
Let p be 6 - (371/77 + 1). Factor -2/11*w**3 + p*w**2 + 0*w + 0.
-2*w**2*(w - 1)/11
Let k = -4/189 - -1339/756. Solve -1/2*t + 5/4*t**5 + k*t**2 + 0 - 7/4*t**4 - 3/4*t**3 = 0.
-1, 0, 2/5, 1
Let v be (-7 + 1)*(-12)/162. Solve -2/9*i**4 + 0*i + 0*i**2 + 0 - v*i**3 = 0.
-2, 0
Let r(d) be the second derivative of -d**9/105840 + d**8/47040 + d**4/4 + 5*d. Let o(z) be the third derivative of r(z). Factor o(a).
-a**3*(a - 1)/7
Suppose -3*l + 6 = -12. Let f be (2/(-12))/((-3)/l). Solve 0 - 2/3*t - f*t**2 = 0 for t.
-2, 0
Let v(w) be the first derivative of 3*w**4/4 - 7*w**3/3 - 3*w**2 + 30. Suppose v(q) = 0. What is q?
-2/3, 0, 3
Factor -p**2 - 8*p**2 - p + 3*p**3 + 6 - 7*p**4 + 10*p**4 - 2*p.
3*(p - 1)**2*(p + 1)*(p + 2)
Let w(s) be the third derivative of s**6/1080 + s**5/90 + s**4/24 + 2*s**3/27 + 10*s**2. Factor w(b).
(b + 1)**2*(b + 4)/9
Let l = 580 + -1738/3. Solve 0*t - l*t**2 + 0 = 0.
0
Let m(t) = 6*t**2 - 15*t + 24. Let f(i) = -5*i**2 + 16*i - 25. Let b(d) = -3*f(d) - 2*m(d). Let b(x) = 0. What is x?
3
Suppose 3*v - 4*v + 2 = 0. Determine u, given that 0*u**v - 1 + 3/2*u - 1/2*u**3 = 0.
-2, 1
Let c(j) be the first derivative of j**7/189 + 2*j**6/135 - j**4/27 - j**3/27 + j - 3. Let m(d) be the first derivative of c(d). Factor m(h).
2*h*(h - 1)*(h + 1)**3/9
Suppose -30/7*p**3 - 6/7*p**4 - 54/7*p**2 - 6*p - 12/7 = 0. What is p?
-2, -1
Let u(g) = 3*g - 18. Let b be u(6). Factor 0 + 2/7*z**3 + b*z - 2/7*z**2.
2*z**2*(z - 1)/7
Suppose -a + 3*a - 9 = 3*j, 0 = -2*a - 4*j + 2. Factor 9*i - 1 - 5 - 3*i**3 + 0*i**a.
-3*(i - 1)**2*(i + 2)
Let z(i) be the second derivative of -i**7/231 + i**6/33 - i**5/11 + 5*i**4/33 - 5*i**3/33 + i**2/11 + 27*i. Factor z(l).
-2*(l - 1)**5/11
Suppose 2*t - 7*t = -15. Factor -3/2*l + 1/2 + 3/2*l**2 - 1/2*l**t.
-(l - 1)**3/2
Let r(d) = -d**3 + 10*d**2 - 7*d - 15. Let s be r(9). Let g(q) be the first derivative of -1 + 2/3*q + 1/2*q**2 + 1/9*q**s. Factor g(v).
(v + 1)*(v + 2)/3
Let f be (-1)/((2 + -1)/(-1)). Let h(w) = 2*w. Let m be h(f). Factor m*g + 3*g**4 + 5*g**2 - g + 8*g**3 - g**3.
g*(g + 1)**2*(3*g + 1)
Let f = 244 + -242. Suppose 0*q - 1/2*q**f + 0 = 0. Calculate q.
0
Let x(o) = -o - 3. Let k be x(-7). Factor 0*u**3 - 9*u**2 + 5*u**2 - 2*u**3 + 2*u**k.
2*u**2*(u - 2)*(u + 1)
Let 3*f**5 + 15*f**3 + 3*f**4 + f**2 - 4*f**4 - 14*f**3 - 4*f**4 = 0. What is f?
-1/3, 0, 1
Let i(m) be the first derivative of -m**4/4 - m**3 - 3*m**2/2 - m + 3. Let l(f) be the first derivative of i(f). Suppose l(o) = 0. What is o?
-1
Let g = -111/11 + 1087/99. Factor -g + 8/9*v - 2/9*v**2.
-2*(v - 2)**2/9
Let o(z) = 4*z**2 - 6*z - 6. Let j(h) = h**2 - h - 1. Let a(i) = 6*j(i) - o(i). Let a(u) = 0. Calculate u.
0
Factor 2*t**2 - 8*t + 4*t**2 - 4 - 12*t + 22*t.
2*(t + 1)*(3*t - 2)
Suppose 10/13*d + 12/13 + 2/13*d**2 = 0. What is d?
-3, -2
Let i be (0 - -3) + 57/(-19). Let z(l) be the second derivative of 2*l + 0*l**4 + i*l**2 + 1/20*l**5 + 0*l**3 + 0. Solve z(p) = 0.
0
Let o(a) = -a**2 - 8*a - 4. Let y be o(-6). Factor 8*c - y*c**2 + 4*c**4 - 16 - 6*c**3 + 16 + 2*c**5.
2*c*(c - 1)**2*(c + 2)**2
Let t be (-1)/(3/18*-3). Suppose 2*j + 3*j**t - 15*j + 48 - 12*j + j = 0. Calculate j.
4
Let f(i) = -i**2 - 3*i + 1. Let o = -5 + 3. Let y be f(o). Determine w so that -5*w**4 - 9*w**4 - 4*w + 0*w - 22*w**2 - 32*w**y = 0.
-1, -2/7, 0
Let h(i) be the first derivative of -i**5/50 - i**4/15 - i**3/15 + 2*i + 2. Let c(u) be the first derivative of h(u). Suppose c(p) = 0. Calculate p.
-1, 0
Determine r so that -4 + 10*r**3 + 15*r**3 + 6*r - 27*r**3 = 0.
-2, 1
Let x(d) = -3*d**3 - 3*d**2 + 5*d - 5. Let u(l) = -2*l**3 - 2*l**2 + 3*l - 3. Let k(p) = 5*u(p) - 3*x(p). Find a, given that k(a) = 0.
-1, 0
Let k(a) be the first derivative of -a**6/6 + a**5/5 + 3*a**4/4 - a**3/3 - a**2 - 11. Suppose k(q) = 0. What is q?
-1, 0, 1, 2
Determine c, given that -2/9*c**3 + 14