 - 1/7*c**4 + 2/7*c**3 = 0. Calculate c.
-1, 0, 1, 2
Let s(f) be the third derivative of -16*f**2 - 1/2625*f**7 + 0*f**3 + 0*f**4 + 0*f + 1/500*f**6 - 1/375*f**5 + 0. What is w in s(w) = 0?
0, 1, 2
Let g(p) = p**3 - 7*p**2 + 8*p - 9. Let k be g(6). Factor -10*h**k + 17*h**2 - h**5 - 9*h**3 - 42*h**2 - 7*h**4 - 5 + 1 - 16*h.
-(h + 1)**3*(h + 2)**2
Let a be ((-6)/(-72))/(-3 - -2)*-45. Let h(q) be the second derivative of a*q**4 + 4*q - 5/3*q**3 + 0*q**2 + 0. Factor h(u).
5*u*(9*u - 2)
Factor 1/2*s**2 + 1/4*s**5 + 19/2 - 10*s**4 - 77/4*s + 19*s**3.
(s - 38)*(s - 1)**3*(s + 1)/4
Let i(y) = y**5 + y**4 - y + 1. Let p(l) = 6*l**5 + 12*l**4 + 12*l**3 + 8*l**2 - 2*l + 4. Let q be 3 + 4*2/(-4). Let n(r) = q*p(r) - 4*i(r). Factor n(x).
2*x*(x + 1)**4
Let j(s) = -s**3 + s**2 - s + 8. Let b be j(0). Let f(d) = -d + 11. Let l be f(b). Factor 68*r**4 - 65*r**4 + l - 6*r**2 + 0.
3*(r - 1)**2*(r + 1)**2
Let a = -16226 - -16228. Factor -8/23 + 6/23*k + 2/23*k**a.
2*(k - 1)*(k + 4)/23
Suppose -6*n = 10 - 34. Let r(t) be the third derivative of 4*t**2 + 0*t - 1/4*t**n - 1/20*t**5 + 0 + 0*t**3 + 1/40*t**6. Let r(y) = 0. What is y?
-1, 0, 2
Let k(u) = -u**5 + 16*u**4 - 24*u**3 + 24*u**2 - 16*u + 8. Let g(i) = 0 + 2*i**2 + 1 - 5*i**2 + 2*i**2 + i**4. Let b(t) = 24*g(t) - 3*k(t). Factor b(d).
3*d*(d - 2)**4
Suppose -4*k + h + 38 = 3*h, -4*k + 23 = -h. Factor -z**2 - z**2 - k + 6 + 3*z**2.
(z - 1)*(z + 1)
Let b(x) = 4*x**2 + 3*x - 3. Let s(u) = -u**2 - u. Let a(l) = -b(l) - 2*s(l). Let t(q) = 5*q**2 + 3*q - 7. Let h(w) = -7*a(w) - 3*t(w). Factor h(j).
-j*(j + 2)
Let l = -752 + 2258/3. Let q(t) be the second derivative of -t**2 + 0 - l*t**3 + 9/40*t**5 + 5*t + 1/8*t**4. Factor q(d).
(d - 1)*(3*d + 2)**2/2
Let y = -547 - -610. Let p = 43 + -22. Solve -90*q**2 + q + p*q**3 + 5*q + y*q**2 = 0 for q.
0, 2/7, 1
Let r(l) be the first derivative of l**5/30 - 2*l**3/9 + 131. Factor r(j).
j**2*(j - 2)*(j + 2)/6
Let b be 4/(-18) + 152/36. Let y(g) = g**3 + 4*g**2 + 3*g. Let h be y(-2). Factor -2*i + 6*i**h + 0*i**3 - 4 - b*i**3 + 4.
-2*i*(i - 1)*(2*i - 1)
What is i in -27 + 0*i**4 + 45/8*i**3 - 45/2*i - 3/8*i**5 + 15/4*i**2 = 0?
-2, 3
Let n = -2134 + 8537/4. Factor 0*a - n*a**5 + 0 + 1/4*a**2 - 1/4*a**4 + 1/4*a**3.
-a**2*(a - 1)*(a + 1)**2/4
Let h(w) be the third derivative of -w**5/12 - 25*w**4/12 + 55*w**3/6 - 13*w**2. Factor h(l).
-5*(l - 1)*(l + 11)
Factor 726 - 365 - 21*c**2 - 3*c**3 - 30*c - 361.
-3*c*(c + 2)*(c + 5)
Let p(o) be the first derivative of o**5/100 - o**4/12 - 13*o**3/30 - 7*o**2/10 - 18*o + 6. Let n(v) be the first derivative of p(v). Factor n(t).
(t - 7)*(t + 1)**2/5
Let o be ((-1)/(-20))/(18 + 385/(-22)). Solve -1/5*l**2 + 0 + o*l + 1/5*l**4 - 1/10*l**5 + 0*l**3 = 0 for l.
-1, 0, 1
Let y(r) be the second derivative of -8*r**6/15 - 2*r**5/5 + 13*r**4/4 - 3*r**3 - 108*r. Factor y(m).
-m*(m + 2)*(4*m - 3)**2
Let i = -307 - -281. Let h be i/(-39)*(-54)/(-21). Factor -3/7*s**5 - 6/7*s**2 + 0 + 0*s - 15/7*s**3 - h*s**4.
-3*s**2*(s + 1)**2*(s + 2)/7
Let v(y) = -3*y**2 - 9 - 4 - 2*y - 14*y. Let c(o) = -8*o + 2*o - 25 - 25*o - 6*o**2. Let n(h) = -4*c(h) + 7*v(h). Factor n(w).
3*(w + 1)*(w + 3)
Let v(t) be the second derivative of t**6/30 - 21*t**5/20 + 59*t**4/6 - 10*t**3 - 100*t**2 - 761*t. Determine p, given that v(p) = 0.
-1, 2, 10
Let j = -82 + 75. Let k be (238/(-30))/j - 6/(-9). Factor -12/5*v - 3/5*v**4 - 12/5 + 6/5*v**3 + k*v**2.
-3*(v - 2)**2*(v + 1)**2/5
Suppose 2*z - 16 = -2*z - 2*p, 0 = -4*z - 3*p + 18. Solve -4*f**3 - 2*f**2 + 5*f**3 - 2*f**z = 0.
-2, 0
Let i(h) = 2*h**2 + 4*h - 20. Let n be i(-7). Factor 10*w**2 - 22*w - 8*w**2 + n + 2*w.
2*(w - 5)**2
Let z(n) be the first derivative of -n**4/10 + 34*n**3/15 + 16*n**2 + 168*n/5 + 56. Find y such that z(y) = 0.
-2, 21
Suppose 0 = -2*j + 5*c - 9, 3*j - c + 2 - 8 = 0. Let z(f) be the first derivative of -1/4*f**2 + 1/6*f**j + 15 + 0*f. Suppose z(r) = 0. Calculate r.
0, 1
Let f(m) be the first derivative of m**6/3 - 2*m**5/5 - 11*m**4/2 + 58*m**3/3 - 26*m**2 + 16*m + 16. Factor f(a).
2*(a - 2)*(a - 1)**3*(a + 4)
Let d(w) = w**2 - 7*w - 4. Let q be d(7). Let p(f) = f**2 - f + 1. Let s(z) = -6*z**3 + 17*z**2 - 8*z - 16. Let h(b) = q*p(b) - s(b). Factor h(k).
3*(k - 2)**2*(2*k + 1)
Let v(p) = -3*p - 10. Let w be v(-3). Let x be (4/1)/((-14)/w). Suppose -x - 2/7*a**2 + 4/7*a = 0. Calculate a.
1
Let d(i) = 2*i**5 - 8*i**4 - 2*i**3 - 4*i**2 - 4*i. Let t(u) = -u**5 + u**4 + u**2 + u. Let r(z) = -d(z) - 4*t(z). Determine y so that r(y) = 0.
-1, 0
Solve -3*v**2 + 0 + 2/3*v = 0 for v.
0, 2/9
Let k(s) = s**2 - 5*s + 5. Let q be k(-5). Let v be (-2)/(-11) - (-100)/q. What is n in 3*n**2 + 8 - 3*n**v - 5*n**2 + 3*n**2 = 0?
-2, 2
Let n(u) be the second derivative of -u**2 - 2/3*u**3 + 0 - u - 1/6*u**4. Find x such that n(x) = 0.
-1
Let h(f) be the third derivative of 361*f**5/30 + 19*f**4 + 12*f**3 + 2*f**2 - 312. Factor h(m).
2*(19*m + 6)**2
Let u(h) be the third derivative of -h**6/160 + 3*h**5/16 + 37*h**4/32 - 51*h**3/8 + 327*h**2 + 2*h. Factor u(r).
-3*(r - 17)*(r - 1)*(r + 3)/4
Let -18*u**2 - 25 + 6*u**3 + 25 - 13*u + 2*u**4 - 41*u = 0. Calculate u.
-3, 0, 3
Let y(h) = 2*h**4 - 2*h**2 - 1. Let k(x) = -4*x**4 + 28*x**3 + 104*x**2 + 3. Let g(b) = -2*k(b) - 6*y(b). Factor g(w).
-4*w**2*(w + 7)**2
Suppose 5*o - 530 = -5*i, 0 = -2*o - 0*i - i + 208. Factor o + 10*n**2 - 15*n**3 + 5*n**4 - 50 - 52.
5*n**2*(n - 2)*(n - 1)
Suppose 0 = 961*f - 969*f. Let q(a) be the third derivative of -2*a**2 - 1/12*a**4 + f*a**3 + 0*a + 0 + 2/45*a**5 - 1/180*a**6. Suppose q(k) = 0. Calculate k.
0, 1, 3
Let n(i) be the first derivative of 4*i**5/55 + i**4/22 - 6*i**3/11 - 4*i**2/11 + 8*i/11 - 140. Let n(g) = 0. What is g?
-2, -1, 1/2, 2
Let u(p) be the third derivative of p**8/3024 - p**7/135 + 11*p**6/360 + 96*p**2 + p. Factor u(m).
m**3*(m - 11)*(m - 3)/9
Let x(s) be the first derivative of s**7/2520 - s**6/216 + s**5/45 - s**4/18 - 10*s**3/3 - 6. Let n(f) be the third derivative of x(f). Factor n(w).
(w - 2)**2*(w - 1)/3
Let m(r) be the third derivative of r**7/1575 + r**6/450 + r**2 + 3*r. Determine s, given that m(s) = 0.
-2, 0
Let v(m) be the third derivative of -m**7/210 - m**6/45 - m**5/30 + 7*m**3/3 + 13*m**2. Let j(k) be the first derivative of v(k). Find u, given that j(u) = 0.
-1, 0
Suppose 0 = -2*i - 0*i + 12*i. Let k(y) be the second derivative of 0 + 2*y - 1/4*y**4 + 3/2*y**2 + i*y**3. Suppose k(r) = 0. Calculate r.
-1, 1
Suppose 29*o - 9*o = 0. Let c(f) be the first derivative of o*f + 0*f**2 - 5 + 2/39*f**3. Solve c(s) = 0.
0
Let f(h) be the first derivative of 0*h - 27 + 0*h**2 - 2/17*h**4 - 2/85*h**5 - 2/17*h**3. Determine c, given that f(c) = 0.
-3, -1, 0
Factor 0 - 2*u**2 - 8/5*u**3 + 0*u + 2/5*u**4.
2*u**2*(u - 5)*(u + 1)/5
Let o(t) be the second derivative of -t**5/5 + 2*t**4/3 + 10*t**3/3 - 12*t**2 - 243*t. Factor o(a).
-4*(a - 3)*(a - 1)*(a + 2)
Let k(c) = 4*c**5 - 2*c**4 - 2*c**3 + 26*c**2 - 28*c + 2. Let w(x) = -x**4 - x**3 + x**2 + 1. Let m(l) = -k(l) - 6*w(l). Find d, given that m(d) = 0.
-2, 1
Suppose i - 2*i + 5*w + 7 = 0, -3*w - 9 = -3*i. Find t, given that 79*t**2 + 165*t + 45*t**4 + 121*t**2 + 5*t**5 + 150*t**3 - 97*t**2 + 127*t**i + 45 = 0.
-3, -1
Let i(x) be the second derivative of 3*x**6/10 - 3*x**5/5 - 25*x**4/4 - 13*x**3 - 12*x**2 + 56*x - 3. Factor i(r).
3*(r - 4)*(r + 1)**2*(3*r + 2)
Suppose 2*x - 5*o + 3014 = 0, 4*x + 7302 = -3*o + 1326. Let u = -10447/7 - x. Find d, given that -16/7*d**2 - u*d**3 + 2*d - 2/7 = 0.
-1, 1/4
Let k(w) be the third derivative of -1/180*w**6 + 0*w**3 + 0*w + 0 + 1/45*w**5 - 4*w**2 + 1/12*w**4. Find l, given that k(l) = 0.
-1, 0, 3
Let g(h) be the third derivative of 2*h**7/105 + h**6/30 - h**5/5 - h**4/6 + 4*h**3/3 - 42*h**2. Factor g(p).
4*(p - 1)**2*(p + 1)*(p + 2)
Let q(a) = a**3 + 3. Let k be q(0). Factor -6 + 25 - 30*t + k*t**2 + 15 + 41.
3*(t - 5)**2
Let z(k) = -2*k**3 - 13*k**2 - 18*k + 2. Let t be z(-2). Find f, given that 14/3*f - 10/3*f**2 - t + 2/3*f**3 = 0.
1, 3
Let q(h) = h**3 + 3 + 3*h**3 + 38*h**2 - 3*h**3 - 43*h**2. Let i be q(5). Factor -192 + 4*g**2 - 16*g**2 - 24*g**2 + 144*g + g**3 + 2*g**i.
3*(g - 4)**3
Let h(u) be the third derivative of u**5/240 + 7*u**4/48 + 13*u**3/24 + 87*u**2. Factor h(n).
(n + 1)*(n + 13)/4
Factor -2/17*h**2 + 2/17*h**