. What is f?
-1, 0, 1
Let y(z) = 7*z**3 + z**2 - 4*z - 1. Let h(r) = 14*r**3 + 3*r**2 - 7*r - 3. Let u(f) = -3*h(f) + 7*y(f). Factor u(o).
(o - 1)*(o + 1)*(7*o - 2)
Let r(a) be the first derivative of -2*a**5/55 - a**4/22 + 4*a**3/33 + 10. Factor r(l).
-2*l**2*(l - 1)*(l + 2)/11
Let f(j) be the third derivative of -j**7/525 - j**6/300 + j**5/150 + j**4/60 - 5*j**2. Factor f(u).
-2*u*(u - 1)*(u + 1)**2/5
Let n(a) = 8*a**4 - 4*a**3 - 14*a**2 - 32*a - 18. Let d(z) = 7*z**4 - 3*z**3 - 14*z**2 - 31*z - 17. Let j(s) = -6*d(s) + 5*n(s). Suppose j(h) = 0. What is h?
-2, -1, 3
Let i be (-220)/(-132)*(0 + 1). Factor 0*f**2 - 2/3*f**3 + i*f**5 + 0*f - f**4 + 0.
f**3*(f - 1)*(5*f + 2)/3
Let w = -20 + 20. Let n(o) be the third derivative of -1/240*o**5 + w*o**4 + 0*o**3 + 0 + o**2 + 1/480*o**6 + 0*o. Factor n(v).
v**2*(v - 1)/4
Solve -3/5*c**3 + 0 - 2/5*c**2 + 12/5*c**4 + 0*c - 7/5*c**5 = 0.
-2/7, 0, 1
Factor 0 + 1/2*w**5 + 1/2*w**4 + 0*w - 1/2*w**3 - 1/2*w**2.
w**2*(w - 1)*(w + 1)**2/2
Let n(m) = 6*m**3 - 2*m - 6. Let x(p) = 5*p**3 - 3*p - 6. Let j(t) = -4*n(t) + 5*x(t). Let j(s) = 0. What is s?
-2, -1, 3
Determine a, given that a - 4*a**2 + 5*a**2 - 2*a = 0.
0, 1
Let f = 73804841297/1365 + -54069484. Let r = 1/273 - f. Suppose r*b + 7/5*b**2 + 4/5 = 0. What is b?
-2, -2/7
Suppose -g + 6 = -0*g. Let o(d) be the third derivative of -2*d**2 + 0 + 0*d**4 + 0*d + 0*d**3 - 1/420*d**g + 1/210*d**5. Solve o(x) = 0.
0, 1
Let v(p) = -p**2 - 3*p + 4. Let l be v(0). Let r(n) be the second derivative of -n**2 + 0 + 2*n - 5/3*n**3 - 7/6*n**l - 3/10*n**5. Solve r(h) = 0 for h.
-1, -1/3
Let x = 7 - 14. Let s = 10 + x. Suppose -1/2*b**s - 3/2*b**2 - 1/2 - 3/2*b = 0. Calculate b.
-1
Let r(l) be the second derivative of l**6/1980 - l**5/660 - 2*l**3/3 - 3*l. Let m(s) be the second derivative of r(s). Find v such that m(v) = 0.
0, 1
Let -2/5*z**4 - 1/5*z**3 + 1/5*z**5 + 0*z + 2/5*z**2 + 0 = 0. Calculate z.
-1, 0, 1, 2
Let t = -8437935/427 + 19761. Let p = 8432/3843 + t. Factor -10/9*s**4 - 2/9 + 20/9*s**3 - p*s**2 + 10/9*s + 2/9*s**5.
2*(s - 1)**5/9
Let t(l) be the first derivative of 8/9*l + 1/6*l**4 - 22/27*l**3 + 8/9*l**2 + 2. Factor t(o).
2*(o - 2)**2*(3*o + 1)/9
Suppose -2*x - 2*k + 8 = 0, -5*x = -2*x - 2*k - 27. Let t be (-261)/(-126) - (-3)/x. Determine j so that 0 + 2*j**3 - t*j**2 - 1/2*j**4 + j = 0.
0, 1, 2
Determine p, given that 0 + 3/2*p**2 + p = 0.
-2/3, 0
Let d(k) = 2*k + 16. Let n be d(-9). Let p(f) = 3*f**5 - 4*f**4 + f - 2. Let c(b) = b**5 - b**4 - b**2 + b - 1. Let y(t) = n*p(t) + 4*c(t). Factor y(x).
-2*x*(x - 1)**3*(x + 1)
Let t(n) be the first derivative of -n**6/180 + n**4/12 + n**3/3 + 1. Let h(b) be the third derivative of t(b). Suppose h(j) = 0. What is j?
-1, 1
Let p be (-16)/(240/(-75)) + 44/(-10). Factor 0*q + 0*q**3 + 9/5*q**4 - p*q**5 + 0 - 12/5*q**2.
-3*q**2*(q - 2)**2*(q + 1)/5
Let l(m) be the first derivative of m**4/7 - 4*m**3/21 + m**2/14 - 11. What is c in l(c) = 0?
0, 1/2
Factor 0*q - 10/7*q**4 - 4/7*q**5 + 0 - 2/7*q**2 - 8/7*q**3.
-2*q**2*(q + 1)**2*(2*q + 1)/7
Let k(j) be the third derivative of 1/280*j**7 + 0*j**4 + 1/1344*j**8 + 1/240*j**5 + 1/160*j**6 + 0*j**3 + 0 + 3*j**2 + 0*j. Factor k(y).
y**2*(y + 1)**3/4
Let n(p) be the second derivative of -p**8/5600 + p**7/3150 + p**6/600 - p**5/150 + p**4/12 + p. Let r(z) be the third derivative of n(z). Factor r(o).
-2*(o - 1)*(o + 1)*(3*o - 2)/5
Let j = -118/77 + 20/11. Factor -2/7*i**2 - j*i + 0.
-2*i*(i + 1)/7
Find u such that 38*u**2 + 60*u**2 - 240*u + 2*u**2 + 144 = 0.
6/5
Let i(f) = -f**3 + 7*f**2 - 6*f - 7. Let o be i(6). Let j = -4 - o. Determine t so that 0*t**2 + 2/7*t**4 + 0*t + 0*t**j + 0 = 0.
0
Let j(n) be the third derivative of 0*n**3 + 1/660*n**6 + 2*n**2 + 0*n + 0*n**5 - 1/132*n**4 + 0. Factor j(o).
2*o*(o - 1)*(o + 1)/11
Let l(z) = -z**2 - 7*z + 6. Let j be l(-8). Let o be (j - -2)/(2 - 4). Let o + 30/7*n**3 - 4/7*n + 2*n**5 + 2/7*n**2 + 38/7*n**4 = 0. Calculate n.
-1, 0, 2/7
Let u(f) be the first derivative of 2*f**3/63 + 16*f**2/21 + 128*f/21 + 12. Factor u(x).
2*(x + 8)**2/21
Let m(l) be the first derivative of 2*l**3/3 - 14*l**2 + 41. Factor m(t).
2*t*(t - 14)
Let b be (-3)/(-2)*2*1. Suppose t + b = 5. Factor m**3 + 2*m**3 + t*m**2 - 5*m**3 + 0*m**2.
-2*m**2*(m - 1)
Let a(c) be the first derivative of -4*c - 4*c**2 - 5 - 4/3*c**3. Factor a(g).
-4*(g + 1)**2
Let m(p) = 2*p + 6. Let s be m(-1). Let d(r) be the second derivative of -1/120*r**6 + 1/20*r**5 + 0*r**2 - s*r + 0 + 1/12*r**3 - 5/48*r**4. Factor d(f).
-f*(f - 2)*(f - 1)**2/4
Suppose 4*y + 12 - 28 = 0. Factor 0*v**2 + 2/3*v**3 - 1/3 + 1/3*v**y - 2/3*v.
(v - 1)*(v + 1)**3/3
Let l(v) be the first derivative of -v**5/40 - 5*v**4/16 - 25*v**3/24 + 19. Factor l(z).
-z**2*(z + 5)**2/8
Factor -1/3*j**2 + 0 + 1/3*j**4 + 1/3*j**3 + 0*j - 1/3*j**5.
-j**2*(j - 1)**2*(j + 1)/3
Let m be 9*(1 - (-10)/(-6)). Let r(z) = 8*z**2 + 8*z - 6. Let a(i) = 7*i**2 + 7*i - 5. Let p(l) = m*a(l) + 5*r(l). Solve p(k) = 0 for k.
-1, 0
Let z(u) be the second derivative of 7*u**5/30 - 2*u**4/3 + u**3/3 + 2*u**2/3 + 2*u - 17. Factor z(b).
2*(b - 1)**2*(7*b + 2)/3
Let z(h) be the first derivative of 4*h**3/21 + 2*h**2/7 - 8*h/7 - 12. Suppose z(l) = 0. What is l?
-2, 1
What is g in -8/3*g**3 + 4/3 + 32/3*g**4 + 6*g**5 - 10/3*g - 12*g**2 = 0?
-1, 2/9, 1
Let w(s) be the third derivative of -1/40*s**6 - s**2 + 0*s**3 + 0*s - 1/60*s**5 - 1/336*s**8 + 0 - 1/70*s**7 + 0*s**4. Solve w(k) = 0.
-1, 0
Let g(j) be the second derivative of -j**5/10 - j**4/3 + 5*j**3/3 + 6*j**2 - j + 15. Factor g(q).
-2*(q - 2)*(q + 1)*(q + 3)
Suppose 3*v = 4*l + 26, 5*v + 4*l + 8 = -2. Let q(b) be the second derivative of 1/8*b**4 - 1/4*b**3 + b + 0 + 0*b**v. Solve q(c) = 0.
0, 1
Let i(o) = -4*o**2 - 28*o + 12. Let h(w) = -w - 9. Let a be h(-12). Let s(u) = -u**2 - 9*u + 4. Let j(g) = a*i(g) - 10*s(g). Factor j(b).
-2*(b - 2)*(b - 1)
Let p(g) be the third derivative of g**5/240 - g**4/48 + g**3/24 - 3*g**2. Find o such that p(o) = 0.
1
Let z = -14/11 - -114/55. Factor 4/5*c**4 - z*c**2 + 2/5*c - 2/5*c**5 + 0 + 0*c**3.
-2*c*(c - 1)**3*(c + 1)/5
Let f be -2*80 + 6/(-2). Let n = -1139/7 - f. Factor 0*s + 2/7 - n*s**2.
-2*(s - 1)*(s + 1)/7
Let k(h) be the first derivative of 1/4*h**4 + 1 + 0*h + 1/3*h**3 - 1/5*h**5 - 1/2*h**2. Factor k(j).
-j*(j - 1)**2*(j + 1)
Let g(a) = 7*a**2 - 8*a**2 - 1 + 5*a - 3. Let d(y) = y - 1. Let p(q) = -3*d(q) + g(q). Factor p(b).
-(b - 1)**2
Let q = 343/11 - 31. Factor 20/11*a**2 + 2/11 + q*a**5 + 20/11*a**3 + 10/11*a**4 + 10/11*a.
2*(a + 1)**5/11
Let q(d) be the second derivative of -1/14*d**7 - d + 0 + 3/10*d**5 + 0*d**6 + 0*d**2 + 0*d**4 - 1/2*d**3. Determine c, given that q(c) = 0.
-1, 0, 1
Let f(w) = 3*w**3 + 10*w**2 + 4. Let s(b) = 12*b**3 + 39*b**2 + 15. Let z(c) = -15*f(c) + 4*s(c). Determine l, given that z(l) = 0.
-2, 0
Let y(r) be the second derivative of -r**7/8820 - r**6/2520 - 5*r**4/12 + r. Let j(i) be the third derivative of y(i). Suppose j(b) = 0. Calculate b.
-1, 0
Let g(x) be the second derivative of -x**5/90 + x**4/27 + x**3/27 - 2*x**2/9 - 7*x. Find u, given that g(u) = 0.
-1, 1, 2
Let w(i) be the third derivative of i**5/60 + i**4/24 - 2*i**2. Suppose w(q) = 0. What is q?
-1, 0
Let r(w) = w**5 - w**4 - w**3 + w**2 + w - 1. Let d(x) = 3*x**5 - 3*x**4 + 3*x**3 + 3*x**2 - 6. Let i(a) = -d(a) + 6*r(a). Suppose i(o) = 0. Calculate o.
-1, 0, 1, 2
Let q(o) be the first derivative of 5*o**4/4 + 35*o**3/3 + 20*o**2 - 80*o - 19. Factor q(z).
5*(z - 1)*(z + 4)**2
Let w(z) be the second derivative of -z**7/525 + z**5/150 + z**2/2 + 2*z. Let r(u) be the first derivative of w(u). Factor r(t).
-2*t**2*(t - 1)*(t + 1)/5
Determine q so that 20/7*q - 48/7*q**2 - 2/7 - 20/7*q**3 + 50/7*q**4 = 0.
-1, 1/5, 1
Let v(m) be the third derivative of -m**7/168 - m**6/96 + m**5/48 + 5*m**4/96 + m**2 - 11*m. Determine s, given that v(s) = 0.
-1, 0, 1
Factor 5*t**4 + 9*t - 9*t - 5*t**2.
5*t**2*(t - 1)*(t + 1)
Let j be (-3)/24 - (-740)/32. Let i = 47/2 - j. Determine m, given that i*m**4 + 0*m**2 - 1/2 + m**3 - m = 0.
-1, 1
Let x(s) be the second derivative of s**5/10 + s**4/6 - 8*s. Solve x(w) = 0.
-1, 0
Solve 0 + 3/4*y**5 + 3/4*y**4 + 0*y**2 + 0*y + 0*y**3 = 0.
-1, 0
Let j(u) be the third derivative of -5*u**8/16128 - u**7/1008 - u**6/720 + u**5/30 +