w) = -f(w) - 15*o(w). Let r(x) = 0. What is x?
-1/5, 5
Let t = -96/5051 - -484121/1288005. Let i = t - 2/85. Let 0 - i*z + 1/3*z**2 = 0. Calculate z.
0, 1
Factor 2/7 + 4/7*c + 2/7*c**2.
2*(c + 1)**2/7
Let y = 46 + -46. Let l(r) be the first derivative of -1 + 2/15*r**3 - 1/5*r**2 + y*r. What is p in l(p) = 0?
0, 1
Factor -9/5 - 6/5*t**2 + 21/5*t.
-3*(t - 3)*(2*t - 1)/5
Suppose 0*d**4 + 2/7*d**2 + 0 - 3/7*d**3 + 1/7*d**5 + 0*d = 0. Calculate d.
-2, 0, 1
Factor -3*h**5 + 89*h - 178*h - 9*h**4 + 89*h - 6*h**3.
-3*h**3*(h + 1)*(h + 2)
Let h = 9949/12350 - -1/475. Let o = -4/13 + h. Determine c, given that -1/2*c**2 + o*c**3 - 1/2*c + 1/2 = 0.
-1, 1
Let j(p) be the second derivative of 3*p + 1/50*p**5 - 1/10*p**4 + 0 + 0*p**2 + 0*p**3. Let j(v) = 0. Calculate v.
0, 3
Let w(y) = 2*y + 2. Let i be w(-1). Let h(t) be the first derivative of 0*t**3 - 3/20*t**4 + i*t + 0*t**2 - 1/25*t**5 + 4. Factor h(f).
-f**3*(f + 3)/5
Factor -7*f - 9*f + 24*f**2 + 14*f - 2.
2*(3*f - 1)*(4*f + 1)
Let i(g) = -14 + 1 + 4*g**3 + 0*g**3 - 13*g**2 - 19*g**3 + 15*g. Let f(c) = 7*c**3 + 6*c**2 - 7*c + 6. Let k(o) = 13*f(o) + 6*i(o). Factor k(s).
s*(s - 1)*(s + 1)
Suppose 2*v + 36 = 2*l + 6*v, 4*v = -3*l + 44. Suppose 2*m + 2*m = l. Factor 2 + o**3 - m*o**2 - 2*o + 0*o + o**3.
2*(o - 1)**2*(o + 1)
Let u(i) = -6*i**2 - 5*i + 6. Let l(g) = 9*g**2 + 7*g - 9. Let y(o) = 5*l(o) + 7*u(o). Factor y(r).
3*(r - 1)*(r + 1)
Suppose 5*c - 27 = -27. Let 2*k**5 + 2/5*k**3 + 0*k + 16/5*k**4 - 4/5*k**2 + c = 0. What is k?
-1, 0, 2/5
Suppose 3/5*w**2 - 6/5*w + 3/5 = 0. What is w?
1
Let f(c) be the first derivative of 2 - 1/9*c**4 + c - 1/18*c**3 + 0*c**2 - 1/20*c**5. Let p(r) be the first derivative of f(r). Solve p(w) = 0.
-1, -1/3, 0
Let i be 2 - 1 - 4/(-2). Suppose 0 = -i*b + 6. Factor 11 - 11 + b*p**2.
2*p**2
Let d(u) be the second derivative of u**6/30 + u**4/12 - u**3/6 - u**2/2 + 4*u. Let r(b) = b**3 - 2*b**2 + 1. Let j(f) = -2*d(f) - 2*r(f). Solve j(c) = 0.
-1, 0, 1
Let i be 1*20/5*(-64)/(-26). Factor 50/13*q + i*q**4 + 4/13 + 352/13*q**3 + 216/13*q**2.
2*(q + 2)*(4*q + 1)**3/13
Let t(a) be the third derivative of -a**8/6720 - a**7/5040 + a**6/360 - a**5/60 - 2*a**2. Let f(p) be the third derivative of t(p). Let f(i) = 0. What is i?
-1, 2/3
Let o(s) be the second derivative of -s**6/12 + s**5/8 + 6*s. Factor o(z).
-5*z**3*(z - 1)/2
Let z = -29 + 349/12. Let f(d) be the third derivative of 0 - z*d**4 + 3*d**2 + 0*d - 1/9*d**3 + 2/45*d**5. What is u in f(u) = 0?
-1/4, 1
Let f(n) be the first derivative of -5 + 0*n - 3/8*n**2 - 1/12*n**3. Let f(p) = 0. What is p?
-3, 0
Let r(d) = -16*d + 2. Let a be r(-1). Factor -2*o**2 - 10*o**2 - a + 30*o + 2*o**3 + 0*o**3 - 2*o**2.
2*(o - 3)**2*(o - 1)
Determine c, given that c**4 + 19*c + 5*c + c**2 + 6*c**3 - 9*c**3 - 3*c**3 + 16 = 0.
-1, 4
Let j(h) be the second derivative of h**4/12 - 2*h**3/3 + 2*h**2 - 23*h. Factor j(o).
(o - 2)**2
Let h(x) = 1 + 0 + x - 2. Let k(b) = -2*b**2 + 4*b - 6. Let p(j) = 6*h(j) - k(j). Factor p(g).
2*g*(g + 1)
Let d(h) = -6*h**2 + 0*h**2 + h**3 - 6*h**2 - 2*h**2 + 5. Let c be d(14). Determine t, given that 0*t**2 + 0*t - 3*t**3 - 3/2*t**c + 0 - 9/2*t**4 = 0.
-2, -1, 0
Factor 1/9*a**2 + 1/9*a + 0.
a*(a + 1)/9
Let z(b) be the second derivative of b**7/28 - b**6/60 - b**5/8 + b**4/24 + b**3/6 - 3*b. Find h, given that z(h) = 0.
-1, -2/3, 0, 1
Let b(i) = i**2 + 5*i. Let l(n) = n**2 + 6*n. Let y(k) = -3*b(k) + 2*l(k). Factor y(z).
-z*(z + 3)
Let v(r) be the second derivative of r**6/360 - r**5/120 + r**3/3 + 4*r. Let o(q) be the second derivative of v(q). Determine j, given that o(j) = 0.
0, 1
Let l(j) be the second derivative of j**6/150 + j**5/20 + j**4/20 - 3*j**3/10 - 31*j. Factor l(c).
c*(c - 1)*(c + 3)**2/5
Suppose 0 = 3*a - 2*z - 10, 4*a - 8*a + 2*z = -10. Factor 1/5 - 1/5*p**2 + a*p.
-(p - 1)*(p + 1)/5
Let n(w) be the third derivative of w**6/540 - w**5/135 + w**4/108 + 22*w**2. Factor n(s).
2*s*(s - 1)**2/9
Let c = 2060/2277 - 4/253. Let n be 2 + -2 + 1 + 1. Suppose 8/9 - c*w + 2/9*w**n = 0. What is w?
2
Let d be 62/10 - (-2)/(-10). Let x be (0 + d)*1/33. Factor -2/11*b**2 - 4/11*b - x.
-2*(b + 1)**2/11
Let w(r) be the first derivative of -2*r**6 + 8*r**5 - r**4 - 24*r**3 + 8*r**2 + 32*r - 1. Let w(u) = 0. Calculate u.
-1, -2/3, 1, 2
Let w be 10/25 + 199/(-35). Let c = -319/63 - w. Determine b, given that 4/9*b + 2/9 + c*b**2 = 0.
-1
Suppose 3*k = 2*k - 5*a - 17, -3*k + 5*a = -49. Let j(g) = -3*g - 9. Let d(v) = v**2 - 9*v - 26. Let s(x) = k*j(x) - 3*d(x). Factor s(n).
-3*(n - 2)*(n + 1)
Let i = 93 + -88. Let n(k) be the third derivative of -5/16*k**4 - 1/4*k**3 + 0 + 0*k - 3*k**2 - 3/80*k**6 - 7/40*k**i. Let n(z) = 0. Calculate z.
-1, -1/3
Let y(k) = k. Suppose 2*m - 5*n = -11, -2*m - 3*n + 7 = -2*n. Let g be y(m). Factor -29*j**2 - 36*j - 12*j**2 - 4 - 25*j**g - 15*j**2.
-(9*j + 2)**2
Let l be (2 - (-18)/7) + (-72)/126. Factor 2/5*f**2 + 4/5*f**3 + 0*f + 0 + 2/5*f**l.
2*f**2*(f + 1)**2/5
Suppose 2*f - 2*b + 28 = f, -38 = f - 4*b. Let m be -1 - (f/8 + 1). Factor 1/4*r**4 + m + 3/2*r**2 + r**3 + r.
(r + 1)**4/4
Suppose -4*l - 6 = -7*l. What is g in 4/3*g**4 - 2/3*g + 4/3*g**3 + 4/3 - 8/3*g**l - 2/3*g**5 = 0?
-1, 1, 2
Suppose -3*f + 0 = -6. Factor -3*l**3 + l**4 + f*l**4 - l**4 + l**4.
3*l**3*(l - 1)
Let u(i) be the first derivative of 25*i**3/3 - 185*i**2/2 + 70*i - 18. Suppose u(s) = 0. What is s?
2/5, 7
Let r(m) be the second derivative of m**8/3360 - m**7/630 + m**6/360 + m**4/6 + m. Let i(w) be the third derivative of r(w). Factor i(k).
2*k*(k - 1)**2
Let y(u) = -3*u**3 - 12*u**2 + 21*u + 3. Let i(d) = 3*d**3 + 11*d**2 - 22*d - 4. Let v(m) = 3*i(m) + 4*y(m). What is q in v(q) = 0?
-6, 0, 1
Suppose 0 = -v - 5, 4*t + 5*v + 7 = -6. Suppose 3 = -4*g + 3*g + 4*q, -2 = g - t*q. What is j in -5 + j**2 + 3 + g = 0?
-1, 1
Let i(t) = -3*t**2 + 7*t + 1. Let b(a) be the second derivative of a**4/12 - a**3/2 + 3*a. Let l(s) = 5*b(s) + 2*i(s). Factor l(d).
-(d - 1)*(d + 2)
Let y = 161 - 1125/7. Factor -y - 2/7*s**2 + 4/7*s.
-2*(s - 1)**2/7
Let v = 3 + 1. Let s = v - 3. Suppose -5*r + 5 - 4 - 7*r**2 + s = 0. What is r?
-1, 2/7
Let x(h) be the second derivative of h**9/1512 - h**7/210 + h**5/60 + 5*h**3/6 - 4*h. Let l(y) be the second derivative of x(y). Factor l(a).
2*a*(a - 1)**2*(a + 1)**2
Suppose 0 = -19*o - 16 + 54. Determine i so that 0*i + 0*i**3 + 0*i**o - 1/4*i**4 + 0 = 0.
0
Let z(g) be the second derivative of g**9/1512 + g**8/280 + g**7/210 - 4*g**3/3 + 4*g. Let t(x) be the second derivative of z(x). Solve t(q) = 0 for q.
-2, -1, 0
Let y(v) = -2*v**2 + 2*v - 6. Let l(d) = -1. Let o(t) = -6*l(t) + y(t). Factor o(x).
-2*x*(x - 1)
Let f(c) be the first derivative of c**7/1050 - c**6/600 - c**5/300 + c**4/120 + c**2/2 + 3. Let r(d) be the second derivative of f(d). Factor r(q).
q*(q - 1)**2*(q + 1)/5
Let r(l) be the third derivative of l**5/240 + l**4/96 + l**2. Find d, given that r(d) = 0.
-1, 0
Let s(f) = -f**3 - 30*f**2 + f + 32. Let d be s(-30). Factor -3/4*a**d + 3/2*a - 3/4.
-3*(a - 1)**2/4
Let g(r) be the third derivative of -7*r**5/24 + 15*r**4/16 - 5*r**3/6 - 10*r**2. Determine i, given that g(i) = 0.
2/7, 1
Suppose 0 = o - 3*s - 7, -4*o - s - 11 = -0*s. Let l be (-1)/o*-2*-2. Suppose 1/3*c**l + 0 - 1/3*c = 0. Calculate c.
0, 1
Let j(q) be the third derivative of q**9/100800 - q**8/33600 - q**7/8400 + q**6/1200 + q**5/20 + 4*q**2. Let b(a) be the third derivative of j(a). Factor b(f).
3*(f - 1)**2*(f + 1)/5
Suppose -31*r - 9 = -34*r. Solve 2/5*q**r - 2/5*q**2 + 2/5 - 2/5*q = 0.
-1, 1
Let q(z) be the second derivative of 0*z**2 + 0 - 1/5*z**5 - 6*z + 1/3*z**4 + 0*z**3. Factor q(g).
-4*g**2*(g - 1)
Determine x so that -3*x**2 - x**2 + 6*x + 2*x = 0.
0, 2
Let z(k) be the second derivative of 0*k**3 - 5/98*k**7 + 4/35*k**6 + 0 - 3/140*k**5 + k + 0*k**2 - 1/14*k**4. Factor z(i).
-3*i**2*(i - 1)**2*(5*i + 2)/7
Let j(b) be the third derivative of b**10/30240 - b**8/6720 - b**4/24 + 3*b**2. Let c(u) be the second derivative of j(u). Factor c(l).
l**3*(l - 1)*(l + 1)
Suppose z + 3*y - 3 = 0, -3*y = -5*z - 0*y + 33. Let o = 11 - z. Find j such that -10/3*j**4 + 20/3*j**3 - 20/3*j**2 - 2/3 + 2/3*j**o + 10/3*j = 0.
1
Let w = 70 - 68. Let 8/7*b**w + 2/7 + 8/7*b = 0. What is b?
-1/2
Suppose -u + 2 = -5. Let p(j) = -10*