 be the first derivative of w(p). Factor z(s).
-s*(s - 1)
Let j be -2 + 183*(-2)/(-180). Let y(p) be the second derivative of 1/20*p**5 - 2*p + 0*p**2 - j*p**6 + 1/12*p**4 - 1/6*p**3 + 0. Factor y(o).
-o*(o - 1)**2*(o + 1)
Let r(m) be the first derivative of -2*m**3/3 - 5*m**2 + 12*m - 28. Determine a so that r(a) = 0.
-6, 1
Suppose -3*i - i = -12. Suppose 7*q = i*q. Solve q + 1/2*o**2 - o = 0.
0, 2
Let f(p) be the second derivative of 2/5*p**2 - 1/5*p**3 + 0 + 1/30*p**4 - 3*p. Factor f(b).
2*(b - 2)*(b - 1)/5
Let m = 3/763 + 751/3052. Solve -1/4*w**2 + 1/2*w - m = 0.
1
Factor -9 - 1/4*b**2 - 3*b.
-(b + 6)**2/4
Determine t so that -10/3*t**3 - 14/3*t**2 + 16/3*t + 8/3 = 0.
-2, -2/5, 1
Let v be (-4 - -4)/(1/1*1). Suppose -3*d + 6*d + 5*b = -20, -2*d - b - 4 = 0. Determine i, given that 0 + d*i - 2/7*i**4 + 2/7*i**2 + v*i**3 = 0.
-1, 0, 1
Let q(r) be the second derivative of -3*r**7/14 - 11*r**6/30 + 7*r**5/20 + 11*r**4/12 + r**3/3 + 3*r. Suppose q(s) = 0. Calculate s.
-1, -2/9, 0, 1
Let a be (-4)/6 + 70/15. Solve j**4 - 12*j + 3*j**5 + 12*j**2 - 10*j**4 + 9*j**3 - 3*j**a = 0 for j.
-1, 0, 1, 2
Let j(l) = -2*l - 1. Let s be j(-3). Find v such that 0*v**3 - s*v**2 - 4*v**2 + 3*v**2 + 3*v**3 = 0.
0, 2
Suppose 5*d + 9 = -2*z, 4*z - 4*d - 18 = 6. Let c(u) be the first derivative of 1 + 5*u - 4*u**2 - 4*u**3 + 6*u**z - 3*u. Factor c(a).
2*(a - 1)*(3*a - 1)
Factor 0 - 32/3*u**4 - 16*u**3 - 6*u**2 - 2/3*u.
-2*u*(u + 1)*(4*u + 1)**2/3
Factor 2/7*h**4 + h**2 + 0 + 2/7*h + h**3.
h*(h + 1)*(h + 2)*(2*h + 1)/7
Suppose 5*l + 12 = -3*r + 4*r, -2*r = 2*l. Factor -2*z**3 + 2*z**2 - 4*z**2 + r*z**2 + 2*z - 2 + 2*z**2.
-2*(z - 1)**2*(z + 1)
Let s be (-32)/6*-12*3/112. Find m, given that 12/7*m - s - 12/7*m**3 + 3/7*m**4 + 9/7*m**2 = 0.
-1, 1, 2
Let g(h) be the second derivative of h**4/84 - 3*h**3/14 + h**2 - 16*h - 1. Factor g(v).
(v - 7)*(v - 2)/7
Let f(y) be the second derivative of -y**5/5 + 7*y**4/3 - 16*y**3/3 - 32*y**2 - 2*y. Factor f(t).
-4*(t - 4)**2*(t + 1)
Let y(z) be the third derivative of 1/120*z**6 + 1/210*z**7 + 3*z**2 + 0*z**3 + 0*z + 0*z**4 + 0*z**5 + 0. Factor y(i).
i**3*(i + 1)
Suppose -3*j - 84 = 4*j. Let f be 2*9/j - -2. Factor 1/4 - f*t**2 + 1/4*t**4 + 0*t + 0*t**3.
(t - 1)**2*(t + 1)**2/4
Let o(j) be the second derivative of 1/24*j**4 + 9/4*j**2 + 0 + 1/2*j**3 + 4*j. What is u in o(u) = 0?
-3
Suppose 25*q + 0 - 50 = 0. Factor 0 - 3/2*w**q + 1/4*w + 2*w**3.
w*(2*w - 1)*(4*w - 1)/4
Let g(d) be the second derivative of d**4/4 - 9*d**3 + 243*d**2/2 - 22*d. Factor g(t).
3*(t - 9)**2
Let t(r) be the third derivative of r**7/1080 + r**6/1080 - r**4/8 - r**2. Let y(s) be the second derivative of t(s). Determine j, given that y(j) = 0.
-2/7, 0
Let k be 2*3 + 0 + 1. Let a(t) = 13*t**2 + 25*t. Let i(u) = -6*u**2 - 12*u. Let w(v) = k*i(v) + 3*a(v). Factor w(s).
-3*s*(s + 3)
Let t = -9 + 16. Factor 15*q**3 + 16 + 60*q**2 + 35*q**3 - 65*q - t*q.
2*(q + 2)*(5*q - 2)**2
Let d(f) be the third derivative of 0*f**4 - 1/120*f**5 + 0*f**3 - 1/420*f**7 - 1/120*f**6 + 0 + 0*f - 3*f**2. Factor d(j).
-j**2*(j + 1)**2/2
Let t = -1 + -2. Let g be t/6*-2 + 1. Let -3*z**3 + 0*z**3 + g*z**2 + 2*z**3 = 0. What is z?
0, 2
Suppose 4/5*w + 0 + 2/5*w**3 - 6/5*w**2 = 0. Calculate w.
0, 1, 2
Let r(u) be the first derivative of -u**9/13608 + u**7/3780 + 2*u**3/3 - 3. Let d(j) be the third derivative of r(j). Factor d(w).
-2*w**3*(w - 1)*(w + 1)/9
Let t(a) be the second derivative of a**7/8820 - a**5/420 - a**4/3 - 3*a. Let x(r) be the third derivative of t(r). Let x(w) = 0. What is w?
-1, 1
Let a = -12 + 16. Let p(b) be the second derivative of 0 - 2*b + 1/6*b**3 + 0*b**2 - 1/24*b**a. Solve p(o) = 0 for o.
0, 2
Let o = 379 + -376. Factor -1/4*y**4 - 1/4*y**2 + 0*y - 1/2*y**o + 0.
-y**2*(y + 1)**2/4
Let c(v) = -3*v + 4. Let m be c(3). Let f = 8 + m. Factor 0*t + 14/3*t**4 - 4/3*t**2 + 0 - 10/3*t**f.
2*t**2*(t - 1)*(7*t + 2)/3
Suppose -5*b = 3*p + 15, 4*b + p + p = -10. Let m be b/(-3) + 2 + 3. Factor -w**4 - m - w**3 + 10 + w**2 + w - 5.
-w*(w - 1)*(w + 1)**2
Let f(p) be the first derivative of -p**4/8 + p**3/6 + p**2/4 - p/2 - 21. Suppose f(h) = 0. What is h?
-1, 1
Let b = -2/109 + 783/1090. Let y(m) be the second derivative of -3/7*m**7 - m**6 + 0*m**2 - 1/6*m**4 + 0 - m + 0*m**3 - b*m**5. Factor y(r).
-2*r**2*(r + 1)*(3*r + 1)**2
Suppose -3 - 3 = -2*c. Suppose -8 - 5*s**3 - 61*s**2 - 2*s**5 - 53*s**c + 4 - 28*s - 2*s**5 - 25*s**4 = 0. What is s?
-2, -1, -1/4
Suppose 3*i = i + 12. Let x(f) be the second derivative of 0 + 0*f**5 + 0*f**2 + 1/40*f**i - 3/16*f**4 - 3*f - 1/4*f**3. Find w, given that x(w) = 0.
-1, 0, 2
Let a be -33*1/(-21) + 6/14. Factor -4/9 + 2/9*j + 2/9*j**a.
2*(j - 1)*(j + 2)/9
Let g(h) be the second derivative of -2*h**6/135 + h**4/9 - 4*h**3/27 - 2*h + 1. Let g(j) = 0. Calculate j.
-2, 0, 1
Solve -5*d - 6*d**2 + 30*d**2 + 6 + 14*d + 2*d**4 + 11*d + 12*d**3 = 0.
-3, -1
Let n be (1 - 1)/(8/(-4)). Suppose m**4 + n - 12*m**2 + 0 + 3*m**5 + 8*m**4 = 0. Calculate m.
-2, 0, 1
Let s = 314/93 - 84/31. Find m, given that 2/3*m - s - 2/3*m**3 + 2/3*m**2 = 0.
-1, 1
Let n(s) = -s. Let j(q) = -q**3 - 4*q**2 - 8*q. Let o(c) = c - 7. Suppose -4*a + 3*a + 8 = 0. Let g be o(a). Let x(w) = g*j(w) - 4*n(w). Factor x(l).
-l*(l + 2)**2
Let p(f) = -2*f - 18. Let o be p(-9). Solve 0 + 2/9*x - 2/9*x**3 + o*x**2 = 0.
-1, 0, 1
Let f = 12 + -8. Solve -u**f - 2*u**2 + 3*u**2 - u - 2*u + 4*u - u**3 = 0.
-1, 0, 1
Let t be (-6)/(-8)*24/9. Let g be 9/12*t/3. Determine p, given that 3*p**2 + 1/2*p**4 + g - 2*p - 2*p**3 = 0.
1
Let b(u) = -9*u**2 + 3*u. Let d(p) = -26*p**2 + 10*p. Let q(j) = 14*b(j) - 5*d(j). Find c such that q(c) = 0.
0, 2
Factor 18 - 22*u**2 + 2*u + 19*u**2 + u.
-3*(u - 3)*(u + 2)
Let f be ((-2)/(-16))/((-15)/(-20))*2. Solve 2/3*c**2 - 2/3 + f*c - 1/3*c**3 = 0.
-1, 1, 2
Suppose 2*p = -2*d + 6, d + 2*p - 7*p = 27. Suppose y - d = g - 2*g, 2*g - 4*y = -10. Let -2/3*u + 0*u**2 + 2/9*u**g - 4/9 = 0. Calculate u.
-1, 2
Let t = 1 + -1. Suppose -2*w + 5*a + 4 = -1, t = 2*w + a + 1. Suppose 0 + 1/3*d**3 - 1/3*d**2 - 1/3*d**5 + w*d + 1/3*d**4 = 0. Calculate d.
-1, 0, 1
Let v(j) be the third derivative of -j**2 + 1/24*j**4 + 3/448*j**8 + 0*j - 1/60*j**5 + 1/140*j**7 + 0*j**3 - 11/480*j**6 + 0. What is s in v(s) = 0?
-1, 0, 2/3
Suppose h + 12 = 5*r - 10, 0 = -2*r + 10. Let b(d) be the first derivative of 2/3*d**2 - 2/3*d - 2/9*d**h + 2. Let b(q) = 0. Calculate q.
1
Let z(u) = 16*u**5 - 8*u**3 + 4*u + 6. Let h = 19 - 17. Let s(j) = j**5 - j**4 + j**3 + j**2 + 1. Let n(f) = h*z(f) - 12*s(f). Find g such that n(g) = 0.
-1, 0, 2/5, 1
Let d(x) be the first derivative of -2/11*x - 2/11*x**5 + 5/11*x**4 + 5/11*x**2 + 6 - 20/33*x**3 + 1/33*x**6. Factor d(n).
2*(n - 1)**5/11
Let o(q) be the first derivative of q**3/9 - 2*q**2/3 + 4*q/3 + 2. Find h, given that o(h) = 0.
2
Suppose 0 = -14*q + 35 + 35. Let m(s) be the second derivative of -1/42*s**4 + 0*s**2 + 0 - 1/21*s**6 + 4/35*s**q + 4*s - 2/21*s**3. Let m(a) = 0. Calculate a.
-2/5, 0, 1
Let t = 65 - 65. Factor 1/5*o**2 + t - 1/5*o.
o*(o - 1)/5
Let c(w) be the first derivative of -5*w**4/4 + 20*w**3/3 - 5*w**2/2 - 30*w + 19. Find o, given that c(o) = 0.
-1, 2, 3
Let d be (2 - 0) + (4 - 4). Let y be -1 - d - 7/(-2). Suppose 1/2 + y*u**2 + u = 0. What is u?
-1
Let i(p) = -p**3 - p**2 - p - 1. Suppose -3*q = -6 + 9. Let h(d) = 686*d**4 + 101*d**3 - 417*d**2 + 155*d - 13. Let g(v) = q*h(v) - 3*i(v). Factor g(l).
-2*(l + 1)*(7*l - 2)**3
Let l be (0*10/(-90))/2. Factor 2/3*d**3 - 4/3*d + l + 2/3*d**2.
2*d*(d - 1)*(d + 2)/3
Let l(y) be the second derivative of -y**6/50 + 12*y**5/25 - 24*y**4/5 + 128*y**3/5 - 384*y**2/5 + 8*y. Factor l(t).
-3*(t - 4)**4/5
Factor 30*f - 5*f**2 - 16 - 14 + 8 - 23.
-5*(f - 3)**2
Let v(m) = 2*m**3 - 6*m**2 + 6*m + 1. Let g(r) = 1. Let o(n) = 3*g(n) - v(n). Suppose o(q) = 0. Calculate q.
1
Suppose -4*c - 1 = -13. Determine w so that 4/9*w + 10/9*w**5 - 14/9*w**c + 2/3*w**4 - 2/3*w**2 + 0 = 0.
-1, 0, 2/5, 1
Let d = 163/1629 - -2/181. Let r(k) be the first derivative of -1/3*k - 3 - d*k**3 - 1/3*k**2. What is o in r(o) = 0?
-1
Let w(l) be the first derivative of l**6/6 + 4*l**5/5 + 3*l**4/2 + 4*l**3/3 + l**2/2 - 1. Factor w(h).
h*(h + 1)**4
Solve 12/5 + 36/5*v - 111/5*v**2 + 9*v**3 = 0.
-1/5, 2/3, 2
Let l(p) be the thi