*l - 29. Let i(d) be the first derivative of x(d). Factor i(o).
-o*(o - 2)*(o - 1)*(o + 1)/2
Suppose -4*r - 35 - 69 = 0. Let t = r - -28. Suppose -4 - 29*g**t - 4 - 7*g**2 + 44*g = 0. What is g?
2/9, 1
Let x(s) be the second derivative of -10*s**7/21 + s**6/6 + s**5 - 5*s**4/12 + s - 31. Let x(t) = 0. What is t?
-1, 0, 1/4, 1
Let y = -23476 - -23479. Factor 1/9*s**2 - 1/3 + 10/9*s**y - 8/9*s.
(s - 1)*(2*s + 1)*(5*s + 3)/9
Let w be 4/7*385/1650. Let f(d) be the third derivative of -w*d**5 + 1/6*d**4 + 0 + 8*d**2 + 0*d + 0*d**3 + 1/30*d**6. Factor f(x).
4*x*(x - 1)**2
Let g(i) be the second derivative of i**6/3 + i**5/4 + 25*i. Let w(m) = m**5 + 9*m**4 + 6*m**3. Let o(h) = -6*g(h) + 5*w(h). What is b in o(b) = 0?
0, 3
Let j(f) be the third derivative of 0 + 0*f - 5*f**2 + 1/540*f**6 + 1/270*f**5 - 1/27*f**3 - 1/108*f**4. Factor j(c).
2*(c - 1)*(c + 1)**2/9
Let f = 39430 + -39428. Let t = -21/8 + 95/24. Factor 1/3*b**f - t + b.
(b - 1)*(b + 4)/3
Let v(h) = 9*h**3 - 49*h + 29. Let i(b) = -3*b**3 + 17*b - 10. Let f(x) = -11*i(x) - 4*v(x). Factor f(q).
-3*(q - 1)**2*(q + 2)
Let b(c) = -3*c - 7. Suppose -2*u - 3 - 3 = 0. Let a be b(u). Solve -2/9 + 0*m + 4/9*m**3 + 2/3*m**a = 0 for m.
-1, 1/2
Let r be ((-57)/18 - -3)*414/(-184). Let 3/8*h**4 + 3/8*h - r*h**2 - 3/8*h**3 + 0 = 0. What is h?
-1, 0, 1
Find y, given that -442/11*y + 8/11*y**2 + 10 = 0.
1/4, 55
Let -2/3*q**4 + 2*q**3 + 4/3 - 2/3*q**2 - 2*q = 0. Calculate q.
-1, 1, 2
Let g = -29 - -31. Suppose 0 = -r + 3*j - 3, -4*r + g*j + 14 = 3*j. Factor -5*b**4 + 5*b**r + 0*b + 4*b**4 - 5*b**2 + 2*b - b**3.
-b*(b - 2)*(b - 1)**2
Let n(s) be the first derivative of s**6/30 + s**5/60 - s**4/6 - s**3/6 + 3*s**2 - 3. Let a(j) be the second derivative of n(j). Factor a(w).
(w - 1)*(w + 1)*(4*w + 1)
Let o(k) = -3*k**3 - 48*k**2 - 131*k + 490. Let y(n) = -24*n**3 - 384*n**2 - 1047*n + 3921. Let j(t) = -33*o(t) + 4*y(t). Suppose j(r) = 0. What is r?
-9, 2
Suppose -36*h = -39*h + 54. Suppose 0 = -3*l - 6 + h. Let 0 - x - 4*x**2 + 9/4*x**3 + 23/2*x**l - 35/4*x**5 = 0. What is x?
-2/5, -2/7, 0, 1
Let t(v) be the second derivative of 1/8*v**4 + 0 - 12*v + 3/2*v**2 + 3/4*v**3. Let t(r) = 0. Calculate r.
-2, -1
Let n(l) be the third derivative of 0 + 1/24*l**4 + 8*l**2 + 0*l**3 + 1/30*l**5 + 1/120*l**6 + 0*l. Factor n(x).
x*(x + 1)**2
Let q(g) be the second derivative of -g**5/40 - g**4/3 + 23*g**3/12 + 15*g**2/2 + 30*g. Factor q(y).
-(y - 3)*(y + 1)*(y + 10)/2
Let m(x) be the second derivative of 1/27*x**4 + 0 + 1/135*x**6 + 2/45*x**5 - 1/3*x**2 - 4/27*x**3 + 4*x. Factor m(f).
2*(f - 1)*(f + 1)**2*(f + 3)/9
Let l(w) be the second derivative of 8/15*w**3 + 1/10*w**4 + 4/5*w**2 + 12*w + 0. Solve l(m) = 0.
-2, -2/3
Let i(r) = 2*r**3 + 6*r**2 + 2*r + 2. Let p(o) = -3*o + 1. Let c be p(1). Let u(w) = w**2 + 1. Let y(a) = c*u(a) + i(a). Factor y(x).
2*x*(x + 1)**2
Let g(h) be the second derivative of 4/63*h**3 + 1/441*h**7 + 9*h + 13/210*h**5 + 0*h**2 - 2/21*h**4 + 0 - 2/105*h**6. Let g(d) = 0. Calculate d.
0, 1, 2
Let a(d) be the second derivative of d**5/50 - 2*d**4/15 - d**3/15 + 4*d**2/5 - 147*d. Factor a(y).
2*(y - 4)*(y - 1)*(y + 1)/5
Let w(n) = -5*n**3 + 8*n**2 + 22*n - 44. Let r(q) = 110*q**3 - 175*q**2 - 485*q + 970. Let o(k) = 2*r(k) + 45*w(k). Factor o(u).
-5*(u - 2)**2*(u + 2)
Let z(a) be the second derivative of -a**4/60 + 2*a**3/15 + 16*a**2/5 - 208*a. Factor z(y).
-(y - 8)*(y + 4)/5
Suppose -2/11*l**2 - 86/11*l + 8 = 0. What is l?
-44, 1
Factor 11/10*t**2 + 1/5*t + 0 + 2/5*t**4 + 13/10*t**3.
t*(t + 1)*(t + 2)*(4*t + 1)/10
Factor 0 - 9/5*n**2 - 12*n.
-3*n*(3*n + 20)/5
Determine c so that 8 - 8 + c**3 - 40*c - 96*c**2 - 5*c**4 + 9*c**3 + 116*c**2 = 0.
-2, 0, 2
Let f(o) be the second derivative of -o**6/2340 - o**5/195 + 5*o**4/156 - 6*o**3 + 40*o. Let w(x) be the second derivative of f(x). Factor w(j).
-2*(j - 1)*(j + 5)/13
Let x(o) be the second derivative of -8*o - 3/7*o**7 + 0*o**3 - 1/10*o**5 + 0*o**2 - 2/5*o**6 + 0*o**4 + 0. Factor x(j).
-2*j**3*(3*j + 1)**2
Let o(q) be the second derivative of 3/2*q**3 + 1/60*q**5 + 0 - 7*q + 0*q**2 + 1/180*q**6 + 0*q**4. Let z(p) be the second derivative of o(p). Factor z(u).
2*u*(u + 1)
Let a(d) be the first derivative of -d**4/10 - 8*d**3/5 + d**2/5 + 24*d/5 + 140. Factor a(w).
-2*(w - 1)*(w + 1)*(w + 12)/5
Let u(f) be the second derivative of f**6/240 - f**5/12 + 25*f**4/48 + 37*f**2/2 + 14*f. Let v(j) be the first derivative of u(j). Factor v(o).
o*(o - 5)**2/2
Factor -4/5*y + 3/5*y**3 + 0 - 4/5*y**4 + 4/5*y**2 + 1/5*y**5.
y*(y - 2)**2*(y - 1)*(y + 1)/5
Let b(d) = 8*d**2 + 2. Let n be b(-4). Solve -n*g**3 - 82*g**4 + 110*g**3 - 58*g**4 - 245*g**5 = 0 for g.
-2/7, 0
Let t(x) = -x**2 - 9*x - 9. Let w be t(-7). Suppose -5*g + 162 = c + 44, g = 4*c + 32. Let -3*j**w + g*j**4 + 0*j**3 - 21*j**4 + 4*j**3 + 2*j**3 = 0. What is j?
-1, 0, 2
Solve -24/7*a**3 - 38/7*a**2 - 2/7*a**4 + 24/7*a + 40/7 = 0 for a.
-10, -2, -1, 1
Suppose -17 = -4*h - 3*n, -4 = h + n - 3*n. Suppose h*b + 3*b = 6*b. Factor 2/3*q**3 + b + 0*q**2 + 0*q.
2*q**3/3
Let l(r) be the second derivative of r**5/40 + 31*r**4/24 - 8*r**3/3 - 8*r. Let l(s) = 0. Calculate s.
-32, 0, 1
Suppose -5*w + 90 - 17 = -l, -5*w + 2*l = -76. Suppose -3*n + 26 = w. Factor -2/5*f**n + 0*f - 2/5*f**3 + 0*f**2 + 0.
-2*f**3*(f + 1)/5
Suppose 5*c + 4*j + 7 = 5, 0 = j + 3. Suppose 1/2*h**2 - c + 0*h = 0. What is h?
-2, 2
Let l be (-4)/(-6) + (-44)/(-6). Let a(m) = -m**2 + 12*m - 12. Let q be a(l). Factor -13*d**4 - 4 - 10*d**2 - q*d**3 + 20*d + 29*d**4 - 2*d**2.
4*(d - 1)**2*(d + 1)*(4*d - 1)
Suppose -3*g - 227 = -4*y + 2*g, 4*y - 4*g = 224. Factor -4 - 21 - 54*k**2 + y*k**2 + 10*k.
-(k - 5)**2
Let v(z) = -z**3 + 8*z**2 - 24*z + 48. Let s be v(5). Let t(f) be the third derivative of 1/30*f**4 + 0 + 3*f**2 + 0*f**s + 0*f + 1/150*f**5. Factor t(x).
2*x*(x + 2)/5
Factor -18 + 3/5*n**2 - 21/5*n.
3*(n - 10)*(n + 3)/5
Let v(o) = 6*o**2 - 75*o - 195. Let w(b) = -2*b**2 + 24*b + 66. Let h(f) = 2*v(f) + 7*w(f). Factor h(u).
-2*(u - 12)*(u + 3)
Let z(c) be the first derivative of 2*c**6/9 + 4*c**5/5 - 25*c**4/3 + 100*c**3/9 + 16*c**2 - 112*c/3 - 100. Determine f, given that z(f) = 0.
-7, -1, 1, 2
Let w(n) be the first derivative of -n**4/3 + 8*n**3/3 - 8*n**2 - 12*n - 6. Let h(a) be the first derivative of w(a). Factor h(q).
-4*(q - 2)**2
Let k(h) be the second derivative of 0 - 4/3*h**3 - 25*h + 0*h**2 - 1/6*h**4. Determine z so that k(z) = 0.
-4, 0
Let h(g) = -7*g**3 - 49*g**2 + 124*g - 80. Let j(q) = -100*q**3 - 685*q**2 + 1735*q - 1120. Let i(k) = -85*h(k) + 6*j(k). Factor i(d).
-5*(d - 8)*(d - 2)*(d - 1)
Let j = -109/8 + 1/8. Let n = -129/10 - j. Suppose -3/5*v**3 + n*v**2 + 0 + 0*v = 0. What is v?
0, 1
Let r(i) be the second derivative of 0 - 1/600*i**6 + 0*i**4 - 5*i - 2*i**2 + 0*i**3 - 1/150*i**5. Let f(u) be the first derivative of r(u). Factor f(d).
-d**2*(d + 2)/5
Let f(j) be the third derivative of j**8/336 + j**7/42 + j**6/18 + 7*j**3/2 - 10*j**2. Let p(n) be the first derivative of f(n). What is o in p(o) = 0?
-2, 0
Let c(n) be the third derivative of -n**7/105 - 43*n**6/60 - 7*n**5/5 - 378*n**2. What is r in c(r) = 0?
-42, -1, 0
Let o(x) be the first derivative of 2*x**3/15 - 7*x**2/5 - 16*x/5 + 26. Determine p so that o(p) = 0.
-1, 8
Let w(q) be the third derivative of -q**7/42 - 7*q**6/12 - 61*q**5/12 - 35*q**4/2 - 30*q**3 + 790*q**2. Factor w(a).
-5*(a + 1)**2*(a + 6)**2
Let u = -237 - -338. Suppose u - 3*b**2 - b**2 - 209 + 36*b + b**2 = 0. What is b?
6
Let l be ((18/1)/3)/(7 - 8/2). Determine j, given that 4/3*j**4 - 2/3*j**5 - 2*j - 4/3*j**l + 8/3*j**3 + 0 = 0.
-1, 0, 1, 3
Let l be 546/(-3640)*(-4)/7. Let f(o) be the second derivative of 0 - 2/7*o**3 + 2/105*o**6 - 4/7*o**2 + l*o**5 + 1/21*o**4 - 5*o. What is m in f(m) = 0?
-2, -1, 1
Let k(u) = -2*u**3 + 3*u**2 + 10*u. Let h(d) = -d**3 + d**2 + 4*d. Let v(z) = 5*h(z) - 2*k(z). Factor v(o).
-o**2*(o + 1)
Let b(u) = 10*u**3 - 20*u**2 - 65*u - 5. Let v(a) = -15*a**3 + 29*a**2 + 97*a + 7. Let f(c) = -7*b(c) - 5*v(c). Suppose f(h) = 0. What is h?
-2, 0, 3
Let o be ((-3)/30)/((-5)/(-420)*2) + 5. Determine g so that -3/10*g**3 - 1/5*g**4 + o*g**2 - 2/5*g + 1/10*g**5 + 0 = 0.
-2, 0, 1, 2
Let f(d) be the second derivative of d**5/20 + d**4/2 + 5*d**3/6 + d**2 + 4*d. Let j be 