z(o) = 5*v(o) + y(o). Factor z(a).
5*(a - 4)*(a + 2)**2
Let f(m) be the first derivative of -2*m**6/3 + 4*m**5 - 7*m**4 - 4*m**3/3 + 16*m**2 - 16*m + 214. Suppose f(x) = 0. What is x?
-1, 1, 2
Let b(w) = 25*w**3 + 10*w**2 - 60*w - 50. Let f(p) = p**4 - 25*p**3 - 11*p**2 + 61*p + 50. Let r(n) = -4*b(n) - 5*f(n). Factor r(t).
-5*(t - 5)*(t - 2)*(t + 1)**2
Factor 3/8*c - 1/8*c**3 - 1/4 + 0*c**2.
-(c - 1)**2*(c + 2)/8
Factor 36/13*h**2 - 70/13*h**3 + 0 + 2/13*h**5 + 0*h + 32/13*h**4.
2*h**2*(h - 1)**2*(h + 18)/13
Let d(j) = 2*j**2 - 13*j + 13. Let z(v) be the second derivative of v**4/6 - 2*v**3 + 6*v**2 - 18*v. Let a(q) = 4*d(q) - 5*z(q). Determine i so that a(i) = 0.
2
Let l be 95/114*(-2)/(-45). Let o(m) be the second derivative of -5*m + 0*m**2 - 1/54*m**4 + 1/135*m**6 - 1/90*m**5 + 0 + l*m**3. What is a in o(a) = 0?
-1, 0, 1
Let b be ((-28)/70)/((-16)/(-12)*1 - 2). Factor -1/5 - 1/5*k**3 - 3/5*k - b*k**2.
-(k + 1)**3/5
Let j(s) be the second derivative of -s**4/15 - 2*s**3/15 + 12*s**2/5 + 24*s. Factor j(p).
-4*(p - 2)*(p + 3)/5
Find p such that -120*p**2 + 50/3*p**5 + 0 - 442/3*p**3 + 40/3*p**4 - 24*p = 0.
-3, -2/5, 0, 3
Factor -1/2*n**4 - 9*n**3 + 0 + 0*n + 19/2*n**2.
-n**2*(n - 1)*(n + 19)/2
Let g(t) be the third derivative of 5/3*t**3 + 1/3*t**5 + 11*t**2 + 0*t - 1/24*t**6 - 25/24*t**4 + 0. Factor g(w).
-5*(w - 2)*(w - 1)**2
Let q = -136 - -433/3. Let t = q - 7. Factor 2/3*h - 2/3*h**2 + t.
-2*(h - 2)*(h + 1)/3
Factor 3/2*w**3 - 108*w**2 - 20736 + 2592*w.
3*(w - 24)**3/2
Suppose -110*f + 304*f = 0. Let d be -2*(-4 + 2)/2. Factor 0*c**d + 2/3*c**4 + 0*c**3 - 2/3*c**5 + f + 0*c.
-2*c**4*(c - 1)/3
Let g(q) be the third derivative of q**6/120 + q**5/10 + 3*q**4/8 + q**2 - 30*q. Let g(a) = 0. Calculate a.
-3, 0
Determine d so that 45*d**4 + 59*d + 8*d + 8*d - 128*d**5 - 170*d**2 + 123*d**5 - 70*d**3 + 125 = 0.
-1, 1, 5
Let u(v) = -v - 6. Let l be u(-6). Suppose l = 5*r - 1 - 9. Let -5*q**r + 14*q**2 - 12*q**2 = 0. What is q?
0
Let r(x) be the second derivative of x**7/14 + x**6/10 - 3*x**5/10 - x**4/2 + x**3/2 + 3*x**2/2 + 24*x. Factor r(k).
3*(k - 1)**2*(k + 1)**3
Let j be (-137)/630 - 6/(-108)*4. Let v(r) be the third derivative of -1/28*r**4 + 0 + j*r**5 + 2/21*r**3 + 0*r + 3*r**2. Suppose v(n) = 0. Calculate n.
1, 2
Let r(p) be the first derivative of 0*p**2 + 3/8*p**4 + 0*p**3 + 0*p + 14. Factor r(m).
3*m**3/2
Suppose -60 = -18*f - 6. Let x(i) be the second derivative of -1/4*i**2 + 0 + 1/48*i**4 + i - 1/24*i**f. Find l such that x(l) = 0.
-1, 2
Let n = 23135/4 - 5783. Suppose n*r**3 + 1/2 + 13/8*r**2 + 3/2*r + 1/8*r**4 = 0. What is r?
-2, -1
Let p(n) = -12*n**3 - 32*n**2 - 198*n - 110. Let j = 56 - -12. Let s(v) = v**3 + 3*v**2 + 18*v + 10. Let c(u) = j*s(u) + 6*p(u). Find y, given that c(y) = 0.
-1, 5
Let x(l) be the second derivative of 0*l**2 + 0*l**3 + 7*l + 5/12*l**4 + 1/4*l**5 + 0. Let x(q) = 0. What is q?
-1, 0
Let k(x) be the second derivative of -x**6/360 + x**5/15 - 2*x**4/3 + 17*x**3/6 - 9*x. Let m(v) be the second derivative of k(v). Let m(a) = 0. Calculate a.
4
Let r(z) be the third derivative of z**5/420 + 11*z**4/168 - 2*z**3/7 - 51*z**2 - 1. Let r(t) = 0. Calculate t.
-12, 1
Suppose 2*l - 4*z - 12 = 0, l + 2*z - 3 - 3 = 0. Factor -l*m**3 + 32*m**2 - 24*m**3 - 3*m + 2*m**3 - m.
-4*m*(m - 1)*(7*m - 1)
Suppose 0 = f + 7 - 13. Solve -3*j**3 - f*j**2 + 681*j - 681*j = 0.
-2, 0
Let j(o) be the second derivative of o**6/80 + o**5/10 - o**4/16 - o**3 - 11*o**2 + 7*o. Let w(h) be the first derivative of j(h). Factor w(m).
3*(m - 1)*(m + 1)*(m + 4)/2
Let k(z) be the third derivative of -z**5/210 - 9*z**4/14 - 243*z**3/7 + 85*z**2. Solve k(j) = 0 for j.
-27
Let 307*u**4 - u**5 + 6*u**5 - 98*u**4 + 22800*u**2 + 31*u**4 + 3830*u**3 + 45125*u = 0. What is u?
-19, -5, 0
Let k be 1*12 + 6118/(-644). Factor -1/2*v**4 - k*v**2 + v + 2*v**3 + 0.
-v*(v - 2)*(v - 1)**2/2
Suppose 4*q - 3*w = -25, -4*w = -5*q + 2*q - 24. Let o = q - -12. What is r in 3 + 9*r**2 - 3 + o*r**3 - 4*r - 6*r**4 + r**2 = 0?
-1, 0, 1/3, 2
Let d(v) = -9*v**2 - 9*v**2 + 23*v**2 - 2*v**2 + 11*v. Let j(l) = -l**2 - l. Let f(i) = -2*d(i) - 10*j(i). Suppose f(p) = 0. What is p?
0, 3
Let l(x) be the second derivative of -x**6/135 - x**5/10 + 11*x**4/54 + x**3/3 - 10*x**2/9 - 244*x. Determine b, given that l(b) = 0.
-10, -1, 1
Let o(w) = 3*w**2 + 12*w + 2. Let y(m) = -m**2 - 1. Let z(t) = o(t) + 2*y(t). Factor z(g).
g*(g + 12)
Let v(t) be the first derivative of t**4/72 + t**3/3 + 3*t**2 - 21*t + 13. Let n(a) be the first derivative of v(a). Factor n(c).
(c + 6)**2/6
Let b(a) be the second derivative of a**4/12 - 38*a**3/3 + 722*a**2 + 2*a - 6. Find r such that b(r) = 0.
38
Let a(f) = f**3 - 12*f**2 + 11*f + 4. Let r be a(11). Suppose -34 - 2 = -r*z. Solve -27*g**4 - g**2 - z*g**4 - 2*g**2 - 3*g**2 - 15*g**5 - 27*g**3 = 0 for g.
-1, -2/5, 0
Suppose 65*g + 106 = 108 + 258. Factor 0*j**2 + 3/5*j**g + 0 + 3/5*j**3 + 0*j.
3*j**3*(j + 1)/5
Let z(s) be the second derivative of s**5/80 + s**4/48 + 68*s. Let z(x) = 0. Calculate x.
-1, 0
Let o(h) be the second derivative of h**4/66 - 2*h**3/3 + 96*h**2/11 - 47*h - 3. Factor o(i).
2*(i - 16)*(i - 6)/11
Let j(v) = 6 + 2 - v**2 + 0*v**2 + 8*v. Let r be j(8). What is y in -r*y**4 + 5*y**4 + 3*y**3 + 0 + 0 = 0?
0, 1
Let j(m) be the third derivative of -m**5/20 - 23*m**4/8 - 30*m**3 + m**2 + 29*m. Let j(c) = 0. What is c?
-20, -3
Let j(x) be the third derivative of -x**10/756000 + x**9/30240 - x**8/4032 + 17*x**5/60 + 25*x**2. Let n(o) be the third derivative of j(o). Solve n(t) = 0.
0, 5
Let y be (-1470)/(-105) - 108/8. Factor -2*m**2 + 0 - 3/2*m - y*m**3.
-m*(m + 1)*(m + 3)/2
Let u(w) = w**2 + w. Let o(m) = -4*m**2 + 3*m + 10. Let r(q) = o(q) + 3*u(q). Let b be r(7). Factor n**2 - 4*n + b*n + 1 + 1 - 4.
(n - 2)*(n + 1)
Let l(x) be the third derivative of 13/840*x**7 + 0*x + 0*x**3 + 0 - 1/336*x**8 + 0*x**4 + 1/120*x**5 + 4*x**2 - 11/480*x**6. Find z such that l(z) = 0.
0, 1/4, 1, 2
Let v(w) be the second derivative of 0 - 1/15*w**6 - 4/3*w**4 - 32*w + 9*w**2 - 3/5*w**5 + 2*w**3. Factor v(j).
-2*(j - 1)*(j + 1)*(j + 3)**2
Let g(u) be the second derivative of -9/20*u**5 + 0*u**3 + 12*u + 0*u**2 - 1/2*u**4 + 0 - 1/10*u**6. Solve g(k) = 0 for k.
-2, -1, 0
Let o(u) = 3*u**3 + u**2 - u - 2. Let d be o(3). Determine z, given that 75*z**2 + d*z + 622 - 460*z + 3 - 5*z**3 = 0.
5
Factor -4*m + 32 + 0*m**3 + 8*m**3 + 10*m**2 - 6*m**3 - 40*m.
2*(m - 2)*(m - 1)*(m + 8)
Let u = -13597 + 13599. Factor 4/7*p - 2/7*p**u - 2/7.
-2*(p - 1)**2/7
Let i(c) be the first derivative of c**6/72 + 2*c**5/3 + 40*c**4/3 + 8*c**3 - 23. Let f(n) be the third derivative of i(n). Factor f(h).
5*(h + 8)**2
Solve -24 + 13*k - 2/3*k**2 - 1/3*k**3 = 0 for k.
-8, 3
Factor 72/7 - 27/7*p + 1/7*p**2.
(p - 24)*(p - 3)/7
Factor 161*n + 353*n**2 + 7*n**2 + 2*n**4 - 561*n - 8000 - 1159*n**3 + 1211*n**3.
2*(n - 4)*(n + 10)**3
Let g(o) be the second derivative of o**4/32 - 9*o**3/4 - 57*o**2/4 - 433*o. Factor g(n).
3*(n - 38)*(n + 2)/8
Let y = -43 + 42. Let z(j) = -9*j**3 - 7*j**2 - j + 12. Let r(l) = l**3 - l**2 + l. Let x(d) = y*z(d) - 5*r(d). Factor x(k).
4*(k - 1)*(k + 1)*(k + 3)
Let i = 5/33 - 13/110. Let f(r) be the third derivative of 0 + 0*r - i*r**6 - 6*r**2 + 0*r**4 - 1/105*r**7 + 0*r**3 - 1/30*r**5. Factor f(x).
-2*x**2*(x + 1)**2
Find h, given that -18*h + 131*h**2 - 34*h**2 - 98*h**2 - 17 = 0.
-17, -1
Let w(p) be the first derivative of -3*p**5/25 + 3*p**4/4 + 6*p**3/5 - 16. Factor w(u).
-3*u**2*(u - 6)*(u + 1)/5
Let q(z) be the second derivative of 5*z**4/54 + 82*z**3/27 + 32*z**2/9 - 8*z + 7. Suppose q(g) = 0. Calculate g.
-16, -2/5
Determine r, given that -63*r - 1690*r**2 - 3*r**5 - 12*r + 1810*r**2 - 24*r**4 - 18*r**3 = 0.
-5, 0, 1
Let i(r) = 2*r**2 + 3*r - 3. Let b be i(-4). Let f = -15 + b. Factor -1 - f*w - 19*w**2 + 4*w + 18*w**2.
-(w - 1)**2
Let y(k) = -14*k**4 + 2*k**3 + 4*k**2 + 20*k - 1. Let p(r) = 5*r**4 - r**3 - r**2 - 7*r. Let o(t) = -11*p(t) - 4*y(t). Factor o(v).
(v - 1)**2*(v + 1)*(v + 4)
Let a(g) be the first derivative of 10*g + 5/16*g**4 - 5/2*g**2 - 5/6*g**3 + 6. Find r, given that a(r) = 0.
-2, 2
Let a be -3*(-64)/(-6)*-2*(-11)/(-264). Factor a - 2*o**4 + 1/3*o**5 - 2/3*o**2 + 11/3*o**3 - 4*o.
(o - 2)**3*(o - 1)*(o + 1)/3
Let r(t) be the first 