 - k*c**2 + 1/3*c**5 = 0 for c.
-1, 1
Let d be (4/(-90)*4)/((-992)/1240). Let d*i**5 - 8/9*i**4 + 10/9*i**3 + 0 + 0*i - 4/9*i**2 = 0. What is i?
0, 1, 2
Suppose a + 4*a + k + 30 = 0, 6 = -a + k. Let j be (-2)/8 + a/(-8). Suppose -j*i + 0 - 1/4*i**2 = 0. What is i?
-2, 0
Let c(p) = 24*p**4 + 104*p**3 - 138*p**2 + 24*p. Let b(j) = -8*j**4 - 34*j**3 + 45*j**2 - 8*j. Let t(f) = -16*b(f) - 5*c(f). Let t(k) = 0. What is k?
-4, 0, 1/2
Let b(d) = 51*d**2 - 69*d - 300. Let v(a) = 5*a**2 - 7*a - 30. Let i(c) = -2*b(c) + 21*v(c). Find m, given that i(m) = 0.
-2, 5
Suppose 3*h = -4*q + 25 + 10, -h = -q. Find d, given that 4 - 8*d**3 + 9*d**5 - 7*d**q - 4*d**2 + 3*d + 3*d = 0.
-1, 1, 2
Determine r, given that 1/12*r**3 - 5/3 - r + 3/4*r**2 = 0.
-10, -1, 2
Let w be 8/18*(-9)/(-24)*102/68. Factor -w*b**3 - 1/2 + 1/2*b**2 + 1/4*b.
-(b - 2)*(b - 1)*(b + 1)/4
Let c(d) = -d**3 + d**2. Let y(i) = -i**4 - 13*i**3 + 28*i**2 - 14*i. Let v(o) = 4*c(o) - 4*y(o). Factor v(f).
4*f*(f - 1)**2*(f + 14)
Suppose -6*p + 50 = 14. Factor -p + 24 - 3*u + 2*u**2 - 9*u.
2*(u - 3)**2
Factor 111/2*f**3 + 0 + 969/2*f**2 + 3/2*f**4 - 1083/2*f.
3*f*(f - 1)*(f + 19)**2/2
Let t be ((-2)/4)/((-2)/(-48)). Let y be ((-18)/t)/((-3)/(-4)). Factor -2*i + 4*i**y - 10 + 10 - 2*i**3.
-2*i*(i - 1)**2
Suppose 0 = 2*g + 3*o - 9 + 26, 0 = 4*g - o - 15. Find r such that -8/7 + 110/7*r**g - 24/7*r = 0.
-2/11, 2/5
Let s(k) = 13*k**3 + 5*k**2. Let u(v) = -3*v**3 - v**2. Let y = 6 + -3. Suppose 3*a + 3 = -y. Let g(m) = a*s(m) - 9*u(m). Suppose g(b) = 0. Calculate b.
0, 1
Let a(b) be the third derivative of -b**5/150 - 2*b**4/15 - b**3 - 3*b**2 + 12. Factor a(t).
-2*(t + 3)*(t + 5)/5
Let x(i) be the second derivative of i**7/168 + i**6/120 - i**5/60 - 3*i**3 - 14*i. Let d(r) be the second derivative of x(r). Factor d(v).
v*(v + 1)*(5*v - 2)
Let f(r) be the second derivative of r**4/8 + 35*r**3/12 + 11*r**2/2 - 59*r - 1. Factor f(n).
(n + 11)*(3*n + 2)/2
Let n(z) = 2*z**2 - 5*z + 2. Let v(i) = -i. Let q be v(5). Let o(g) = 3*g**2 - 9*g + 3. Let c = -43 + 46. Let u(b) = c*o(b) + q*n(b). Factor u(a).
-(a + 1)**2
Let y(q) be the second derivative of -20*q**2 + 0 + 9*q + 1/4*q**5 + 5/6*q**4 - 10/3*q**3. Factor y(n).
5*(n - 2)*(n + 2)**2
Factor 0 - 2/7*j**3 + 36/7*j - 34/7*j**2.
-2*j*(j - 1)*(j + 18)/7
Let l(s) = -2*s**4 + s**3 + 2*s**2 + 3*s + 2. Let j(w) = -12*w**4 + 7*w**3 + 12*w**2 + 19*w + 13. Let o(x) = -6*j(x) + 39*l(x). Factor o(u).
-3*u*(u - 1)*(u + 1)*(2*u + 1)
Let g(i) = i**2 + 2*i - 3*i - 4 + 3. Let n(a) = -2*a**3 + a**2 + a + 5. Let f(t) = 10*g(t) + 2*n(t). Factor f(u).
-4*u*(u - 2)*(u - 1)
Let a be (-2687 + 1 + 1)/(-1). Let b be a/55 + 2/11. Suppose 14*n**3 - 36*n**2 - 43*n**4 - 83*n**4 + 95*n**3 + b*n**5 + 4*n = 0. Calculate n.
0, 2/7, 1
Factor -10/13*j**3 + 4/13 - 14/13*j + 2/13*j**4 + 18/13*j**2.
2*(j - 2)*(j - 1)**3/13
Let l(d) be the third derivative of -d**7/840 - 5*d**6/432 + d**5/60 - 31*d**4/24 + 26*d**2. Let p(o) be the second derivative of l(o). Factor p(c).
-(c + 3)*(9*c - 2)/3
Factor -4*d + 4/9*d**2 + 32/9.
4*(d - 8)*(d - 1)/9
Suppose -5*h + 468 = -9*h. Let p = -116 - h. Let -1/8*o**5 - 3/2*o - 1/4*o**2 + 0*o**4 + p + 7/8*o**3 = 0. Calculate o.
-2, 1, 2
Let g(p) be the first derivative of -441*p**5/25 + 357*p**4/20 + 16*p**3/3 + 2*p**2/5 + 169. Determine b so that g(b) = 0.
-2/21, 0, 1
Let p(r) be the third derivative of r**5/40 - 7*r**4/4 + 13*r**3 - 154*r**2 + 2. What is f in p(f) = 0?
2, 26
Suppose -5*q + 152 = -4*j, 2*q + 16 - 81 = 3*j. Let a = 30 - q. Find k, given that -6/5*k**a + 3/5*k**3 - 3/5*k + 6/5 = 0.
-1, 1, 2
Let g(k) be the first derivative of -2*k**2 - 2*k**3 - 2 - 2/3*k - 2/3*k**4. Factor g(j).
-2*(j + 1)**2*(4*j + 1)/3
Let a = 1692 + -11842/7. Factor 0*u**2 + a*u**3 - 2/7*u + 0.
2*u*(u - 1)*(u + 1)/7
Let j(g) be the third derivative of -6/5*g**3 + 11/20*g**4 + 0 + 0*g - 3/50*g**5 - 4*g**2. Suppose j(c) = 0. Calculate c.
2/3, 3
Let t(f) = 20*f**4 + 36*f**3 - 4*f**2 - 28*f - 8. Let y(a) = -7*a**4 - 12*a**3 + a**2 + 9*a + 3. Let m(g) = -3*t(g) - 8*y(g). Find z such that m(z) = 0.
-3, -1, 0, 1
Factor 16*s**4 - 4*s**5 - 3*s**5 + 9*s**5 + 30*s**3.
2*s**3*(s + 3)*(s + 5)
Solve 0 - 4*g - 19/3*g**2 - 1/3*g**4 - 8/3*g**3 = 0 for g.
-4, -3, -1, 0
Let b(h) be the second derivative of 4*h - 97/18*h**4 + 25/63*h**7 + 0 + 32/9*h**3 - 4/3*h**2 - 19/9*h**6 + 139/30*h**5. Factor b(p).
2*(p - 1)**3*(5*p - 2)**2/3
Let p(o) be the first derivative of o**4/18 + 2*o**3/9 - o**2 + 10*o/9 + 74. Determine z so that p(z) = 0.
-5, 1
Let v(s) be the third derivative of s**8/161280 - s**6/5760 + s**5/30 - 9*s**2. Let f(g) be the third derivative of v(g). Determine x, given that f(x) = 0.
-1, 1
Let a(i) be the second derivative of -1/21*i**7 + 0 + 0*i**4 - 11*i + 0*i**2 + 0*i**3 + 0*i**5 - 2/15*i**6. Suppose a(b) = 0. What is b?
-2, 0
Let w(x) = -x**2 + 6*x - 6. Let m be w(4). Suppose -2*f + 4 - f - 2*f**m + f = 0. Calculate f.
-2, 1
Let r = -98 + 100. Let h(t) = -t**3 - t**2 + 1. Let w(f) = -19*f**3 - 43*f**2 - 32*f + 1. Let b(c) = r*w(c) - 18*h(c). Factor b(d).
-4*(d + 1)*(d + 2)*(5*d + 2)
Suppose 2*n = -3*b - 0*b + 310, b = -4*n + 120. Solve 34 + 240*c - b*c**3 + 2 + 357*c**2 - 47*c**3 = 0.
-2/7, 3
Let g(c) be the second derivative of 16*c**7/147 + 8*c**6/21 + 33*c**5/70 + 5*c**4/21 + c**3/21 - 94*c. Suppose g(l) = 0. What is l?
-1, -1/4, 0
Let v(h) be the third derivative of h**8/1008 - h**7/63 - 17*h**6/120 - 17*h**5/45 - 7*h**4/18 + 2*h**2 + 62*h. Determine s so that v(s) = 0.
-2, -1, 0, 14
Let g be (-34)/(-51)*(4 + -1). Factor -4 + 5*s**3 + 2*s**3 - 4*s + 0 + 4*s**g - 3*s**3.
4*(s - 1)*(s + 1)**2
Let m(g) be the second derivative of -g**4/3 + 12*g**3 - 162*g**2 - 15*g + 3. Determine a, given that m(a) = 0.
9
Suppose 2*q + 99 = 4*l + l, -4*l = 5*q - 99. Let a = 25 - l. Factor 24/7*o**2 + 4/7*o + a*o**3 - 2/7 + 10/7*o**4.
2*(o + 1)**3*(5*o - 1)/7
Let u = -2 + -28. Let f be (-10)/75 + (-244)/u. Find l such that f*l**2 - 1 - 6 - 10*l - 1 + 10 = 0.
1/4, 1
Let h(b) be the second derivative of 0 + 0*b**4 + 1/60*b**5 + 0*b**3 - 18*b + 0*b**2. Factor h(p).
p**3/3
Suppose 47*c - 51*c = -2*i + 16, -5*i + 16 = -2*c. Let 0 + 2/7*g**3 + 8/7*g - 10/7*g**i = 0. What is g?
0, 1, 4
Let x = 2951/1584 - 15/176. Let -32/9 + x*d - 2/9*d**2 = 0. Calculate d.
4
Let x(f) = -55*f**2 - 16350*f - 1965895. Let i(p) = 8*p**2 + 2334*p + 280842. Let w(l) = -20*i(l) - 3*x(l). Factor w(t).
5*(t + 237)**2
Factor -60*l - 9*l**3 - 54*l**3 + 115*l**2 + 13*l**3 - 5*l**4.
-5*l*(l - 1)**2*(l + 12)
Let o(c) be the second derivative of -17*c**4/54 + 5*c**3/9 + 2*c**2/9 - 3*c - 49. Factor o(m).
-2*(m - 1)*(17*m + 2)/9
Find z, given that -1/2*z**2 + 10 - 1/2*z = 0.
-5, 4
Let f(h) be the third derivative of 15*h**7/7 + 19*h**6/4 + 32*h**5/15 + h**4/3 - 80*h**2. Factor f(v).
2*v*(v + 1)*(15*v + 2)**2
Let j(s) be the second derivative of s**6/24 - s**5/12 - 5*s**4/24 + 5*s**3/6 + 11*s**2/2 + 6*s. Let b(r) be the first derivative of j(r). Factor b(p).
5*(p - 1)**2*(p + 1)
Let y(l) be the second derivative of -1/21*l**3 + 0 + 7*l + 2/147*l**7 + 3/70*l**5 - 1/21*l**6 + 1/42*l**4 + 0*l**2. Solve y(z) = 0.
-1/2, 0, 1
Let x(d) = -1028*d + 6170. Let c be x(6). Let j(a) = -a**3 - 3*a**2 - 2*a + 2. Let k be j(-2). Factor -8/3*b + 2/3*b**k + c.
2*(b - 3)*(b - 1)/3
Let l be -60*(-6)/(-10)*(308/(-147) + 2). Suppose 40/7*g**3 + 4/7*g**5 + 24/7 + 0*g**2 - 44/7*g - l*g**4 = 0. What is g?
-1, 1, 2, 3
Let f(y) = y**3 + 11*y**2 + 10*y + 5. Let s be f(-10). Let l(a) be the second derivative of 0 - a + 1/48*a**4 - 1/3*a**3 - 1/2*a**2 + 1/40*a**s. Factor l(k).
(k - 2)*(k + 2)*(2*k + 1)/4
Let o = -3726 + 11180/3. Factor 0 + 4/3*l**4 - o*l - 7/3*l**2 - 4/3*l**3.
l*(l - 2)*(2*l + 1)**2/3
Let s = 107 - 103. Suppose 5*h - s*b = 28, -4*h + 2*h + 12 = -2*b. Find l such that -2/17*l**h + 0 + 0*l + 6/17*l**3 - 4/17*l**2 = 0.
0, 1, 2
Let g be ((-1890)/380 + 5)/(2/48). Let c = g + -5/38. Factor 0 + x**2 + 0*x + c*x**3.
x**2*(x + 2)/2
Let y(g) be the second derivative of -1/100*g**5 - 1/150*g**6 + 1/30*g**4 + 0*g**2 + 8*g + 0 + 0*g**3. Factor y(i).
-i**2*(i - 1)*(i + 2)/5
Suppose -39 - 285 = -97*f - 33. Suppose 4/7*k**2 - 4/7*k**4 - 2/7*k**f + 0 + 0*k + 2/7*k**5 = 0. What is k?
-1, 0, 1, 2
Let k(h) = -8*h**2 + 42*h - 5. Let y(z) = -3*z**2 + 15*z - 2. Let m(d) = 4*k