of -m**5/10 + m**3/3 + 11*m + 3. Factor q(i).
-2*i*(i - 1)*(i + 1)
Let h(j) = j**2 - j + 1. Let r(y) = -4*y**2 + 5*y - 4. Let t(g) = 6*h(g) + 2*r(g). Factor t(f).
-2*(f - 1)**2
Let a be (-4)/(-4 + 0)*0. Let j(h) be the first derivative of a*h**2 + 0*h + 2/21*h**3 - 2/35*h**5 + 1 + 0*h**4. Factor j(u).
-2*u**2*(u - 1)*(u + 1)/7
Let o be (-33)/231 - 15/(-7). Factor 2/15*a**5 - 2/15*a + 0*a**3 + 0 - 4/15*a**4 + 4/15*a**o.
2*a*(a - 1)**3*(a + 1)/15
Suppose -72 = -49*w + 25*w. What is r in 3/2*r**3 - w*r + 0 - 3/2*r**2 = 0?
-1, 0, 2
Factor 3*j**4 + 52*j - 76*j - 15*j**2 - 9 - 3*j**2.
3*(j - 3)*(j + 1)**3
Suppose 19*z - 18*z + 2*z**2 + 4*z**3 - 3*z**3 = 0. What is z?
-1, 0
Let 7 - 11*f - 19 - 4*f**2 + f**2 - 4*f = 0. What is f?
-4, -1
Let c(q) = -1. Let g(j) = -3*j**4 - 12*j**3 - 15*j**2 - 6*j + 6. Let k(l) = 6*c(l) + g(l). Suppose k(o) = 0. What is o?
-2, -1, 0
Let c(o) be the first derivative of o**6/24 - o**5/4 + 5*o**4/8 - 5*o**3/6 + 5*o**2/8 - o/4 - 5. Factor c(d).
(d - 1)**5/4
Let q(i) = -4*i**3 - 10*i - 7. Let o(m) = m**3 - 1. Let x(s) = 4*s**3 + 7*s + 4. Let z(u) = o(u) - x(u). Let a(g) = -5*q(g) + 7*z(g). Let a(y) = 0. Calculate y.
-1, 0, 1
Let n = -58 - -61. Let j(k) be the first derivative of 0*k + n*k**3 + 15/4*k**4 + k**2 - 2 + 1/2*k**6 + 11/5*k**5. Factor j(a).
a*(a + 1)**3*(3*a + 2)
Let k(p) be the second derivative of -p**5/20 + p**4/12 + 4*p. Find t, given that k(t) = 0.
0, 1
Let y(s) be the first derivative of -5*s**3/6 + 5*s**2/4 + 5*s + 9. Factor y(m).
-5*(m - 2)*(m + 1)/2
Let b(o) be the second derivative of o**8/11200 + o**7/2100 - o**6/1200 - o**5/100 - o**4/4 - 2*o. Let u(q) be the third derivative of b(q). Solve u(n) = 0.
-2, -1, 1
Let x be ((-4)/8)/(3/110). Let m = x + 19. Determine k so that 2/3*k**2 - m*k**3 + 4/3*k + 0 = 0.
-1, 0, 2
Let a(y) be the first derivative of -33*y**4/4 + 42*y**3 - 54*y**2 - 24*y + 3. Determine m, given that a(m) = 0.
-2/11, 2
Let k be (51/(-6) - -6)/(-5). Factor k*x**2 - 3/2*x**3 + x + 1/2*x**5 - 1/2*x**4 + 0.
x*(x - 2)*(x - 1)*(x + 1)**2/2
Let k(r) be the third derivative of -r**8/6720 + r**6/720 + r**4/24 - 2*r**2. Let v(i) be the second derivative of k(i). Let v(d) = 0. Calculate d.
-1, 0, 1
Let z(k) be the first derivative of 1/12*k**3 - 3 + 1/4*k**2 + 0*k. Determine j, given that z(j) = 0.
-2, 0
Let k(v) be the second derivative of -v**6/165 - v**5/110 + 5*v**4/22 - 23*v**3/33 + 10*v**2/11 + 17*v. Find t such that k(t) = 0.
-5, 1, 2
Let a(p) be the second derivative of -p**5/420 - p**4/168 + p**3/21 + 11*p**2/2 + 6*p. Let z(d) be the first derivative of a(d). Find q such that z(q) = 0.
-2, 1
Let y(o) be the third derivative of -o**5/12 + 5*o**4/8 - 5*o**3/3 - 2*o**2. Factor y(s).
-5*(s - 2)*(s - 1)
Factor d**3 - 3*d**4 + 0*d**3 - 271*d**5 + 3*d**2 - 2*d + 272*d**5.
d*(d - 2)*(d - 1)**2*(d + 1)
Let b(y) be the first derivative of 3*y**5/80 + 4*y - 2. Let r(a) be the first derivative of b(a). Find q, given that r(q) = 0.
0
Let g(u) be the second derivative of u**6/6 + u**5/4 - 5*u**4/6 - 4*u. Solve g(n) = 0.
-2, 0, 1
Let k(l) be the third derivative of -l**5/360 + l**4/144 + l**3/6 - 13*l**2. What is b in k(b) = 0?
-2, 3
Let t(o) be the third derivative of 7/540*o**6 - 2/27*o**3 + 1/135*o**5 - 7/108*o**4 + 0*o - 8*o**2 + 0. Find z, given that t(z) = 0.
-1, -2/7, 1
Let a(b) be the first derivative of 3*b**5/20 + 3*b**4/4 + b**3 + b + 2. Let s(k) be the first derivative of a(k). Determine v, given that s(v) = 0.
-2, -1, 0
Let w(a) be the third derivative of -2*a**2 + 0*a - 3/20*a**5 - 1/40*a**6 - 1/2*a**3 - 3/8*a**4 + 0. Determine c, given that w(c) = 0.
-1
Let g = 6/263 + 669/5260. Let y(a) be the first derivative of -g*a**4 + 1 + 3/10*a**2 + 1/15*a**3 - 1/5*a. Factor y(h).
-(h - 1)*(h + 1)*(3*h - 1)/5
Let c(s) be the third derivative of -1/180*s**5 + 0*s + 0*s**3 + 0 + 0*s**4 + 1/360*s**6 + s**2. Factor c(m).
m**2*(m - 1)/3
Let y(p) = -7*p**4 - 36*p**3 - 42*p**2 - 18*p - 4. Let j(r) = r**4 + r - 1. Let v(k) = 2*j(k) - 2*y(k). Factor v(l).
2*(l + 3)*(2*l + 1)**3
Let j be (-8)/(-32)*4 - (-2)/(-6). Let h = -9 - -11. Let 4/3*l - 2/3*l**h - j = 0. Calculate l.
1
Let w(p) be the third derivative of -p**5/180 + 5*p**2. Suppose w(h) = 0. Calculate h.
0
Let v(j) = j**5 + 8*j**4 + 7*j**3 - 8*j**2 - 4. Let o(a) = 2*a**5 + 15*a**4 + 13*a**3 - 15*a**2 - a - 7. Let t(z) = -4*o(z) + 7*v(z). Factor t(i).
-i*(i - 1)*(i + 1)*(i + 2)**2
Let o(l) be the first derivative of -4 - l**4 + 6/5*l**5 - 4/3*l**3 + 3*l**2 - 2*l - 1/3*l**6. Solve o(f) = 0 for f.
-1, 1
Let n(i) = 4*i**2 - i + 4. Let x(j) = -2*j**2 - 2. Suppose -20 - 7 = 3*m. Let b(d) = m*x(d) - 4*n(d). Solve b(r) = 0.
-1
Let k(l) be the first derivative of -2 - 1/3*l**3 - 3*l**2 - 9*l. Factor k(m).
-(m + 3)**2
Let j be (3/(-108))/((-5)/3). Let i(l) be the second derivative of 3/80*l**5 + j*l**6 + 0 - 1/12*l**4 - 1/168*l**7 + 2*l - 1/6*l**3 + 0*l**2. Factor i(f).
-f*(f - 2)**2*(f + 1)**2/4
Solve 9/5*c**3 - 3/5*c**5 - 3/5*c**2 + 0 - 6/5*c + 3/5*c**4 = 0.
-1, 0, 1, 2
Let a(v) = -v**3 + 2*v + 4. Let o be a(2). Factor 1/3*i**4 + 2/3*i**3 + o + 0*i**2 + 0*i.
i**3*(i + 2)/3
Suppose -5*p = -3*l - 5, -14*l + 17*l + p - 1 = 0. Let 0 + 0*h + h**5 + 1/2*h**2 + l*h**3 - 3/2*h**4 = 0. Calculate h.
-1/2, 0, 1
Let k(o) = -o**2 - 9*o + 10. Let j be k(-6). Let v be ((-8)/6)/(j/(-6)). Factor -2/7*d**2 - v*d + 4/7.
-2*(d - 1)*(d + 2)/7
Factor -5 - 3*b + 1 + b**2 + 2*b + 2.
(b - 2)*(b + 1)
Suppose -2*o + 14 = -12. Suppose 0 = -4*r + o - 1. Suppose -1/4*j**r - 1/4 - 3/4*j**2 - 3/4*j = 0. What is j?
-1
Let r be (8 - 10)*(-1)/2. Let z be -2*1/(-1)*r. Factor 2/9*a - 2/9 - 2/9*a**3 + 2/9*a**z.
-2*(a - 1)**2*(a + 1)/9
Let r(n) be the second derivative of n**4/4 - 3*n**3 + 15*n**2/2 - 17*n. Suppose r(y) = 0. What is y?
1, 5
Let x(i) = i**4 - i**3 + i**2 - 1. Let t(b) = 3*b**5 + 4 - 13*b**3 - 4*b**5 + 17*b**3 - 7*b**4. Let j(v) = t(v) + 4*x(v). Let j(k) = 0. Calculate k.
-2, 0, 1
Let o(f) = 4*f**4 - 11*f**3 + 4*f**2 + 3*f. Let h(v) = 4*v**4 - 10*v**3 + 4*v**2 + 2*v. Let a(n) = -3*h(n) + 2*o(n). Suppose a(r) = 0. Calculate r.
0, 1
Let s(h) be the second derivative of -1/60*h**5 + 1/126*h**7 + 2*h + 0*h**4 + 0 + 0*h**3 + 0*h**2 + 0*h**6. Determine d so that s(d) = 0.
-1, 0, 1
Let b be (-4)/((-128)/102) - 3. Let n(h) be the third derivative of h**2 + 1/40*h**5 + b*h**4 + 1/6*h**3 + 0 + 0*h - 1/60*h**6. Solve n(x) = 0.
-1, -1/4, 2
Let c(f) be the second derivative of 1/48*f**4 - 1/8*f**3 + 1/4*f**2 + 3*f + 0. Factor c(z).
(z - 2)*(z - 1)/4
Let v(p) be the first derivative of 8 - 2/45*p**5 + 7/9*p**2 - 4/9*p + 5/18*p**4 - 2/3*p**3. Determine u so that v(u) = 0.
1, 2
Let l be ((-5)/((-140)/24))/((-40)/(-630)). Factor -1 - l*x**2 - 15/2*x.
-(3*x + 1)*(9*x + 2)/2
Let a(o) be the second derivative of -2*o**5 + 12*o**4 + 54*o**2 + 0 + 2/15*o**6 + 4*o - 36*o**3. Factor a(x).
4*(x - 3)**3*(x - 1)
Let y(h) = -3*h**2 + h. Let l(v) = 1 - 3*v + 0*v + 7*v**2 + 0*v. Let a(x) = -6*l(x) - 15*y(x). Factor a(r).
3*(r - 1)*(r + 2)
Let l(f) be the first derivative of f**5/5 - f**4 + 5*f**3/3 - f**2 + 50. Factor l(a).
a*(a - 2)*(a - 1)**2
Solve 3*l**3 - 12*l**2 + 517*l**4 - 19*l**3 - 521*l**4 = 0.
-3, -1, 0
Let f(s) be the first derivative of s**6/2 - 3*s**4/2 + 3*s**2/2 - 2. Factor f(g).
3*g*(g - 1)**2*(g + 1)**2
Let k(p) be the third derivative of -1/150*p**5 + 0*p**4 + 0*p - 1/525*p**7 - 1/150*p**6 + p**2 + 0*p**3 + 0. Suppose k(x) = 0. Calculate x.
-1, 0
Let u(j) = -j**5 - j**4 + j**3 + j + 1. Let z(r) = -6*r**5 - 11*r**4 + 10*r**3 + 4*r**2 + 3*r + 7. Let f(k) = -35*u(k) + 5*z(k). Factor f(x).
5*x*(x - 2)**2*(x - 1)*(x + 1)
Let k(p) = -28*p**5 + 48*p**4 - 14*p**3 - 10*p**2 + 2*p. Let v(q) = q**3 + q**2 - q. Let a(h) = -k(h) - 2*v(h). Factor a(b).
4*b**2*(b - 1)**2*(7*b + 2)
Let q(f) be the second derivative of -f**6/40 - f**5/20 - f**2/2 - f. Let v(h) be the first derivative of q(h). Factor v(x).
-3*x**2*(x + 1)
Let r(g) be the third derivative of -g**8/30240 - g**7/5670 - g**6/3240 - g**4/6 + 3*g**2. Let l(w) be the second derivative of r(w). Factor l(j).
-2*j*(j + 1)**2/9
Let p(j) be the third derivative of 7*j**6/1800 - 3*j**5/200 + j**4/60 + j**3/6 - 2*j**2. Let q(g) be the first derivative of p(g). Find l such that q(l) = 0.
2/7, 1
Let p be ((-4)/45)/(8/(-40)). Solve -p*r**3 + 0 + 0*r - 2/9*r**