z*t(a) - 6*b(a). Suppose o(f) = 0. What is f?
-3, 1
Let g be 6/(-2) - (-8 - -5). Suppose -2*v = 3*a - 4, -4*v + g*v + 2*a + 8 = 0. Factor -2/5*h**3 + 2/5*h**v + 0*h + 0.
-2*h**2*(h - 1)/5
Let v(n) be the first derivative of -50*n**6/21 + 44*n**5/7 + 6*n**4/7 - 16*n**3/3 - 16*n**2/7 - 28. Let v(w) = 0. Calculate w.
-2/5, 0, 1, 2
Suppose -8*v - 4 = -10*v. Solve 0*f**2 + 4*f**2 + 3*f**5 - 3*f**3 + 2*f**v - 6*f**4 = 0 for f.
-1, 0, 1, 2
Let s be (122/14 - 3) + 6/21. Let g(y) be the second derivative of 2*y + 0*y**2 + 0 - 1/20*y**5 + 1/60*y**4 + 2/75*y**s + 0*y**3. Determine n so that g(n) = 0.
0, 1/4, 1
Let 10*h**3 + 11*h + 3*h**4 + 3 + 46/3*h**2 + 1/3*h**5 = 0. What is h?
-3, -1
Let o(s) = s - 4. Let x be o(3). Let u(m) = -m - 1. Let i be u(x). Determine p, given that 15*p**3 + 0*p**2 + i*p**5 - 2*p - 19*p**4 - p**2 + 7*p**5 = 0.
-2/7, 0, 1
Let 3/2*r**4 - 3/4*r**5 + 0 + 0*r**2 + 0*r**3 + 0*r = 0. What is r?
0, 2
Let a(h) be the second derivative of h**4/32 + 3*h**3/16 - 7*h + 2. Factor a(b).
3*b*(b + 3)/8
Let v be (3 - 32/12)*(-1 - -2). Let q(i) be the first derivative of 3 + 0*i - 3/4*i**4 + 0*i**2 - v*i**3. Factor q(u).
-u**2*(3*u + 1)
Factor 3*o + 4*o + 16*o**2 + 20*o**4 - 7*o - 48*o**3.
4*o**2*(o - 2)*(5*o - 2)
Let c be (2/(-12))/((-35)/(-125)). Let r = -2/21 - c. Factor r*n**3 - 1/4*n + 0*n**2 + 0 - 1/4*n**5 + 0*n**4.
-n*(n - 1)**2*(n + 1)**2/4
Let -39*k - 26*k**2 + 9*k**3 + 54 + 4*k + 3*k**4 - 10*k + 5*k**2 = 0. What is k?
-3, 1, 2
Let l be (-1)/3*(1 - 3). Let i(r) be the first derivative of l*r**3 + 4*r - 3*r**2 - 4. Solve i(b) = 0.
1, 2
Let l(g) be the third derivative of -g**8/112 + g**7/420 + 3*g**6/40 + 3*g**5/40 - g**4/24 + 10*g**2. Determine y, given that l(y) = 0.
-1, 0, 1/6, 2
Let v(a) = -a**3 - 7*a**2 + 8*a + 2. Let p be v(-8). Let -27/2*r**p - 18*r - 6 = 0. Calculate r.
-2/3
Let s(l) be the third derivative of -l**9/3024 - l**8/1680 + 5*l**3/6 + 8*l**2. Let n(j) be the first derivative of s(j). Determine q so that n(q) = 0.
-1, 0
Let h(n) = 6*n**2 - 2*n - 8. Let p(v) = -v**2 + 1. Let k be (0 - 2) + (6 - 5). Let t(f) = k*h(f) - 4*p(f). Determine s so that t(s) = 0.
-1, 2
Let d(v) = v**2 + 5*v + 6. Let o be d(-4). Solve g**4 - 2*g**3 - 3*g**4 + 0*g**4 - o*g**2 - 2*g**3 = 0 for g.
-1, 0
Let t(y) be the second derivative of 4*y**6/15 + y**5/5 - 5*y**4/8 - 2*y**3/3 - y**2/4 + 24*y. What is c in t(c) = 0?
-1, -1/4, 1
Let x = -2 + 13. Let v be 6/(-33) - (-2)/x. What is f in -5/2*f**3 + 0*f - f**2 + 5/2*f**5 + f**4 + v = 0?
-1, -2/5, 0, 1
Determine z, given that -6*z**3 - 4*z**4 - 2 + 9*z + 4 + 2*z**2 - 3*z = 0.
-1, -1/2, 1
Suppose -l + 2*l = 5*r - 8, 0 = -2*r - 4*l + 12. Factor 2/3*g**3 + 2/3*g**r + 0 + 0*g.
2*g**2*(g + 1)/3
Let r(s) be the third derivative of -s**7/105 + 4*s**5/15 - 16*s**3/3 - 10*s**2. Factor r(a).
-2*(a - 2)**2*(a + 2)**2
Let j(m) = -3*m**5 + 9*m**4 - 9*m**3 + 8*m**2 + 5*m - 5. Let g(s) = 3*s**5 - 9*s**4 + 9*s**3 - 7*s**2 - 4*s + 4. Let u(a) = -5*g(a) - 4*j(a). Factor u(i).
-3*i**2*(i - 1)**3
Let v be 2*4*(-6)/(-12). Factor -k**2 - 10*k + 10*k + k**v.
k**2*(k - 1)*(k + 1)
Let f(u) be the first derivative of -u**8/840 + u**7/280 + u**6/120 - u**5/60 - u**3/3 + 5. Let r(m) be the third derivative of f(m). What is z in r(z) = 0?
-1, 0, 1/2, 2
Let j(i) be the third derivative of -i**7/315 + i**6/90 + i**5/90 - i**4/18 + 8*i**2. Find t, given that j(t) = 0.
-1, 0, 1, 2
Factor -4/11 + 8/11*u + 1/11*u**2 - 2/11*u**3.
-(u - 2)*(u + 2)*(2*u - 1)/11
Let b(n) be the second derivative of n**7/21 - 4*n**6/15 + 7*n**4/3 - 17*n**3/3 + 6*n**2 - 28*n. Find m such that b(m) = 0.
-2, 1, 3
Let f(l) = l**3 + 16*l**2 + 13*l - 28. Let n be f(-15). Factor 0 + 1/2*b**4 - 1/2*b**3 + 1/2*b - 1/2*b**n.
b*(b - 1)**2*(b + 1)/2
Let x(b) be the third derivative of 0*b**5 + 0*b**3 + 1/600*b**6 - 1/120*b**4 + 0 + 2*b**2 + 0*b. Suppose x(u) = 0. What is u?
-1, 0, 1
Let w be (-42)/(-12)*116/6. Let d = w + -67. Factor 0 - 2/3*t**3 + 0*t**2 - 4/3*t**4 + 0*t - d*t**5.
-2*t**3*(t + 1)**2/3
Let s(w) be the second derivative of w**2 + 0 + 1/12*w**4 - 10*w + 1/2*w**3. Factor s(a).
(a + 1)*(a + 2)
Factor 28 - 3*k - 7*k**2 + 33 - 57.
-(k + 1)*(7*k - 4)
Determine x so that -3/5*x**3 - 6/5 - 3/5*x**4 + 3/5*x + 9/5*x**2 = 0.
-2, -1, 1
Suppose 6*y - 5*y**2 + 14 - 8 + 2*y**2 - 9 = 0. What is y?
1
Let x(c) be the third derivative of 0*c - 1/10*c**3 + 1/600*c**6 - 1/60*c**5 + 6*c**2 + 0 + 7/120*c**4. Factor x(n).
(n - 3)*(n - 1)**2/5
Suppose -i - 13 = -2*i - 3*y, 15 = 3*y. Let c be 3/5 + i/(-30). Factor 2/3*s**2 - 2/3 - 2/3*s + c*s**3.
2*(s - 1)*(s + 1)**2/3
Let g(l) = -l**3 - 5*l**2 - 5*l + 5. Let q be 3/3 - (1 - 23). Let c(v) = -v**3 + 2*v**2 - q - 3*v**2 + 24 - v. Let t(a) = -3*c(a) + g(a). Factor t(k).
2*(k - 1)**2*(k + 1)
Let t be (-1)/4 + (-1)/(-4). Let n(b) = -b**3 + 23*b**2 - 30*b + 178. Let r be n(22). Solve 1/2*o**5 + o**4 + t - o**r - 1/2*o + 0*o**3 = 0.
-1, 0, 1
Let r be -1 - ((-92)/84 + 0). Let a(c) be the first derivative of -r*c**3 + 0*c + 2 + 1/7*c**2. Let a(i) = 0. Calculate i.
0, 1
Let n = -40/13 - -466/143. Determine g so that -2/11*g**2 + 4/11 + n*g = 0.
-1, 2
Let b(x) = -x**2 + x + 1. Let c(d) = 5*d**2 - 7*d - 4. Let w(p) = -30*b(p) - 5*c(p). Solve w(k) = 0 for k.
-2, 1
Factor -21*y - 27*y**2 - 15*y**3 - 11 - y**4 - 3*y**4 + 5 + y**4.
-3*(y + 1)**3*(y + 2)
Let t(v) be the first derivative of -v**3/5 + 6*v**2/5 - 9*v/5 + 32. Factor t(i).
-3*(i - 3)*(i - 1)/5
Let x(i) be the third derivative of -i**9/90720 + i**8/10080 - i**7/2520 + i**6/1080 - i**5/30 + i**2. Let p(t) be the third derivative of x(t). Factor p(v).
-2*(v - 1)**3/3
Factor 10*x + 10*x + 15 + 3 - 8*x + 2*x**2.
2*(x + 3)**2
Let f be (-30)/(-4)*48/480. Find s such that 0 - 3/4*s - f*s**3 + 3/2*s**2 = 0.
0, 1
Let k(p) be the first derivative of -p**3 - 9*p**2 + 48*p + 66. Solve k(h) = 0 for h.
-8, 2
Let w = 0 + 2. Suppose l + w = 5. What is m in -l + 5 - 5*m + 2*m + m**2 = 0?
1, 2
Suppose -3*n = 4*t + t + 11, 3*t + 24 = 4*n. Factor n*z**4 - 6*z**3 + 3*z**2 + 4*z - 4*z**4 - 2*z**4 + 2*z.
-3*z*(z - 1)*(z + 1)*(z + 2)
Suppose l - 1 - 2 = 0. Suppose 1 = l*r + 2*b, -20 = 5*b - 0*b. Factor 0*t**r - 2/5*t + 0 + 3/5*t**2 - 1/5*t**4.
-t*(t - 1)**2*(t + 2)/5
Let s = 4 + -4. Let v be (-2 + s + -2)/(-2). Factor 0*m**2 + 2 + m**2 - 3*m**v.
-2*(m - 1)*(m + 1)
Let i be 2 - (6/3 + -5). Let o = 4 + 0. Let -1/2 - q**3 + 1/4*q**i + 3/4*q + 0*q**o + 1/2*q**2 = 0. What is q?
-2, -1, 1
Let r = -79 + 81. Let w(o) be the third derivative of 0*o**3 + 0*o**5 + 0 + 0*o - 1/60*o**6 + 0*o**4 + 0*o**7 + o**r + 1/168*o**8. Factor w(i).
2*i**3*(i - 1)*(i + 1)
Let k(h) be the first derivative of h**4/28 + h**3/7 + 6*h + 1. Let b(a) be the first derivative of k(a). Factor b(o).
3*o*(o + 2)/7
Let u(a) be the first derivative of a**6/6 - 3*a**5/5 + 3*a**4/4 - a**3/3 + 10. Find l, given that u(l) = 0.
0, 1
Solve 10/7*k**3 - 8/7*k - 12/7*k**2 - 2/7*k**4 + 16/7 = 0.
-1, 2
Let i be 68/10 + (98 - 104). Factor -2*c + i + 8/5*c**2 - 2/5*c**3.
-2*(c - 2)*(c - 1)**2/5
Factor 2*m + 4*m - 10*m**2 - 4*m + 2*m**2.
-2*m*(4*m - 1)
Suppose 8 - 32 = -6*m. Factor -m + 6*k**2 - 6*k + 4 - 9*k**2.
-3*k*(k + 2)
Let x be 4*((-162)/(-30) - (3 + 2)). Solve -x*h**2 + 0 - 8/5*h**4 + 2/5*h + 2/5*h**5 + 12/5*h**3 = 0.
0, 1
Suppose 0*w + 3*w = -9, 0 = 2*u + 5*w + 31. Let g be 6/9 + u/21. Factor 0 + 2/7*z + g*z**3 + 4/7*z**2.
2*z*(z + 1)**2/7
Let b = 443/235 - 4/47. Let s(g) be the first derivative of 14/15*g**3 + 4/5*g + 2 - b*g**2. Factor s(l).
2*(l - 1)*(7*l - 2)/5
Let w(g) be the third derivative of g**6/50 - 3*g**5/20 + 3*g**4/10 + 2*g**3/5 - 4*g**2. Solve w(a) = 0.
-1/4, 2
Suppose 4*f - 2 = 6. Factor 6*r**2 + 4*r**4 - f*r + 4*r - 2*r**4 + 6*r**3.
2*r*(r + 1)**3
Let y be 8/6 + 10/15. Factor 3*v**4 + 14*v**2 + 18*v**3 - 6*v**3 - 2*v**y.
3*v**2*(v + 2)**2
Let z = -1408/15 + 94. Factor -4/15*q - z - 2/15*q**2.
-2*(q + 1)**2/15
Suppose 0 = -3*s + 2*s. Let m(v) be the third derivative of 0*v**4 - 3*v**2 + 1/60*v**6 + 0 + s*v + 0*v**3 + 0*v**5. Factor m(j).
2*j**3
Suppose 3*q = 5*i + 19, -4*q + i = -2*i - 18. Factor 0*x**2 + 2 + 2*x - q*x**2 - 3 + 2*x**2.
-(x - 1)**2
Let f be 2*(4 - 3) - 0. Factor -r**f + 1/3*r + 1/3*r**4 - 1/3*r**3 + 2/3.
(r - 2)*(r - 1)*(r + 1)**2/3
Let c(m) be the second derivative of 1/14*m**4 + 1/21*m**3 + 0 - 1/14*m**5 - 2*m + 2