 h = -8/15 + 1/5. Let q = 0 - h. Solve i - q*i**2 - 2/3 = 0.
1, 2
Let j(u) be the second derivative of -u**5/100 + u**3/10 + u**2/5 + 14*u. Factor j(t).
-(t - 2)*(t + 1)**2/5
Factor -3*p**2 - 12*p + 8*p - p**2 + 0*p.
-4*p*(p + 1)
Let i(r) be the first derivative of -2/3*r**2 + 2 + 0*r - 14/9*r**3 + 2/3*r**4. Solve i(t) = 0 for t.
-1/4, 0, 2
Let u(q) = -3*q**4 - 3. Let a(v) = -3*v**4 - v**3 - 4. Suppose 4*i - 20 = 9*i. Let f(s) = i*u(s) + 3*a(s). Let f(c) = 0. What is c?
0, 1
Let a be ((-28)/(-10))/((-105)/(-150)). Suppose -11/4*c**3 - 3/4 - 13/4*c - 1/2*c**a - 19/4*c**2 = 0. What is c?
-3, -1, -1/2
Let t(r) be the second derivative of -1/6*r**3 - 1/12*r**4 + 2*r + 0 + 0*r**2. Factor t(a).
-a*(a + 1)
Let x(q) = -2*q**2 + 2*q + 7. Let j(p) = -p**2 + p + 1. Let c(y) = -3*j(y) - x(y). Factor c(v).
5*(v - 2)*(v + 1)
Let o(d) = -2*d**3 - 40*d**2 - 102*d - 2. Let h(l) = 5*l**3 + 120*l**2 + 307*l + 7. Let y(t) = -2*h(t) - 7*o(t). Factor y(j).
4*j*(j + 5)**2
Solve q**3 - 4*q**2 - 2*q**3 - 26*q**2 - 4*q**3 = 0.
-6, 0
Let c(r) be the first derivative of -r - 1/5*r**5 - 2 - 5/12*r**4 + 0*r**2 - 1/3*r**3 - 1/30*r**6. Let x(y) be the first derivative of c(y). Factor x(f).
-f*(f + 1)**2*(f + 2)
Let q be 1 + -1*(-57)/(-63). Let c(p) be the first derivative of q*p**3 + 1/14*p**4 + 0*p**2 + 2 + 0*p. Solve c(a) = 0 for a.
-1, 0
Let -4/3*x**3 + 0 + 2/3*x**4 - 2/3*x**2 + 4/3*x = 0. What is x?
-1, 0, 1, 2
Let b(z) be the third derivative of -z**6/600 + z**5/150 + z**4/120 - z**3/15 - 9*z**2. Factor b(c).
-(c - 2)*(c - 1)*(c + 1)/5
Let p be (-12)/(-14) - (-29)/(-42). Let 32/3 - 8*l - p*l**3 + 2*l**2 = 0. What is l?
4
Let y(r) be the first derivative of -2*r**5/15 + r**4/2 - 2*r**3/3 + r**2/3 + 66. Determine m, given that y(m) = 0.
0, 1
Let a(x) be the first derivative of 1 + 0*x - 1/180*x**6 + 0*x**2 + x**3 - 1/30*x**5 + 1/4*x**4. Let v(q) be the third derivative of a(q). Solve v(o) = 0 for o.
-3, 1
Let o(k) be the second derivative of k**4/18 + 2*k**3/9 - k**2 + 2*k. Find s, given that o(s) = 0.
-3, 1
Let o(u) be the third derivative of -1/280*u**8 + 0*u**3 + 0*u - 3*u**2 + 0*u**4 + 1/100*u**6 + 1/150*u**5 - 1/525*u**7 + 0. Suppose o(z) = 0. Calculate z.
-1, -1/3, 0, 1
Let 0 + 0*r**2 - 3/2*r + 9/2*r**3 - 3*r**4 = 0. What is r?
-1/2, 0, 1
Let l(s) be the second derivative of s**4/6 - s**3 + 19*s. Determine w, given that l(w) = 0.
0, 3
Let t be (-2 - -5)/(9/12). Suppose 5*c - t*l = -3*l + 4, 0 = 2*l + 8. Solve -h - h - 2*h**2 + 0*h**2 + c*h**2 = 0.
-1, 0
Let z(q) be the first derivative of q**6/33 - q**4/11 + q**2/11 - 31. Factor z(f).
2*f*(f - 1)**2*(f + 1)**2/11
Let i be 7 + -7 + 30/(-6) + 9. Factor 0*j + 0*j**2 + 1/2*j**i + 0 + 1/2*j**3.
j**3*(j + 1)/2
Factor u**2 - 196*u**3 + u**2 + 205*u**3.
u**2*(9*u + 2)
Let f be (-3)/9*9/(-6). Determine t so that 1/2*t**2 - f*t**4 + 0*t + 0*t**3 + 0 = 0.
-1, 0, 1
Suppose -12*t**5 + 23*t**4 - 3*t**3 - 6*t**2 - 3*t**5 + t**4 = 0. Calculate t.
-2/5, 0, 1
Suppose -144*q + 152*q - 1320 = 0. Factor 126*d**2 - q*d**3 - 204/5*d + 24/5 + 75*d**4.
3*(d - 1)*(5*d - 2)**3/5
Let c(g) = -3*g**3 - 3*g**2 + 15*g. Let k(n) = -n**3 - n**2 + 0*n - n + 5*n. Let x(t) = -4*c(t) + 15*k(t). Determine m so that x(m) = 0.
-1, 0
Factor -1/3*d**2 - 1/3*d**3 + 1/3*d**4 + 0 + 1/3*d**5 + 0*d.
d**2*(d - 1)*(d + 1)**2/3
Let n(h) be the third derivative of -h**8/5040 - h**7/2520 + h**6/360 - h**5/30 + 3*h**2. Let j(v) be the third derivative of n(v). Factor j(g).
-2*(g + 1)*(2*g - 1)
Let m(g) be the first derivative of -g**5/25 + 2*g**3/15 - g/5 + 12. Factor m(v).
-(v - 1)**2*(v + 1)**2/5
Let n(l) be the third derivative of 1/15*l**3 + 0 + 1/150*l**5 - 1/30*l**4 - 6*l**2 + 0*l. Determine j so that n(j) = 0.
1
Factor -3/4*f**2 + 3*f - 3.
-3*(f - 2)**2/4
Let q(r) be the first derivative of -4*r**5/5 - 3*r**4 + 20*r**3/3 + 6*r**2 - 16*r - 5. Factor q(j).
-4*(j - 1)**2*(j + 1)*(j + 4)
Let c(m) be the third derivative of 0*m**3 + 0 - 1/90*m**5 - 5*m**2 + 1/360*m**6 + 1/72*m**4 + 0*m. Factor c(z).
z*(z - 1)**2/3
Determine n, given that 24/7*n**3 + 12/7*n**4 + 0 + 16/7*n**2 + 0*n + 2/7*n**5 = 0.
-2, 0
Let r(f) be the third derivative of -4/5*f**5 - 7/30*f**6 + 4/3*f**3 + 0*f + 0 + 7*f**2 - 1/2*f**4. Factor r(o).
-4*(o + 1)**2*(7*o - 2)
Let t = 5 - 3. Let u be (-1)/3 - 32/(-6). Suppose -s**u + 2*s**4 - 3*s**4 + t*s**5 = 0. What is s?
0, 1
Let t be 2/(-9) - 58/(-18). Factor -x**4 + t*x**4 - 3*x**3 + x**3.
2*x**3*(x - 1)
Let h = -16 - -16. Let x(u) be the second derivative of h*u**3 - 1/54*u**4 - u + 0 - 1/90*u**5 + 0*u**2. Factor x(p).
-2*p**2*(p + 1)/9
Let p = -89 + 92. Factor 27/2*w**2 + 9/2*w + 27/2*w**p + 1/2.
(3*w + 1)**3/2
Let y(a) = -a - 4. Let v be y(-3). Let i(p) = 2*p**2. Let o be i(v). What is k in 3/2*k + o*k**2 - 1/2 = 0?
-1, 1/4
Suppose 3*l - 35 = -2*l. Suppose 2*y = l*y. What is q in 0 - 2/3*q**3 + y*q + 2/3*q**2 = 0?
0, 1
Let x(z) be the first derivative of -z**3/6 + 9*z**2/8 + 5*z/4 + 15. Factor x(g).
-(g - 5)*(2*g + 1)/4
Let f(j) be the first derivative of 9*j**5/10 + 3*j**4/8 - j**3/3 + 6. What is m in f(m) = 0?
-2/3, 0, 1/3
Let u be 1/(1 - (-54)/(-56)). Factor 28*a - u*a + 4*a**2 - 4.
4*(a - 1)*(a + 1)
Let l(a) be the first derivative of 1/35*a**5 - 1/28*a**4 + 0*a - 6 + 1/14*a**2 - 1/21*a**3. Suppose l(r) = 0. What is r?
-1, 0, 1
Let w(x) be the first derivative of -1 + 1/7*x**2 + 4/7*x - 2/21*x**3. Let w(q) = 0. What is q?
-1, 2
Let g be ((-4)/6)/(10/(-6)). Let l(s) be the first derivative of 3 - g*s**2 - 2/15*s**3 + 0*s. Find p such that l(p) = 0.
-2, 0
Let z be (-3)/(-3) + (1 - 2). Suppose 3*m - 4*m + u = z, 24 = 2*m + 4*u. Suppose v + 2*v**m - 3*v**4 - v = 0. What is v?
0
Let t(j) = -j + 14. Let r be t(12). Factor -3/4*c**3 + 0 + 3/4*c**5 + 3/4*c**4 + 0*c - 3/4*c**r.
3*c**2*(c - 1)*(c + 1)**2/4
Let v(d) = -33*d**2 + 26*d - 6. Let k(z) = 65*z**2 - 53*z + 13. Let j(x) = 6*k(x) + 15*v(x). Factor j(f).
-3*(5*f - 2)*(7*f - 2)
Let h(o) be the first derivative of -o**6/40 - o**5/30 + o**4/24 + 3*o**2/2 + 2. Let f(j) be the second derivative of h(j). Find z such that f(z) = 0.
-1, 0, 1/3
Let j = 247 + -245. Let 0*m - 2/3*m**j + 8/3 = 0. What is m?
-2, 2
Let y(b) be the third derivative of b**10/75600 - b**8/5040 + b**6/360 - b**5/30 - 2*b**2. Let j(s) be the third derivative of y(s). Factor j(x).
2*(x - 1)**2*(x + 1)**2
Suppose -2*b - 2*b = -11*b. Let z(v) be the second derivative of v + 1/12*v**4 + b*v**2 - 1/20*v**5 + 0 - 1/30*v**6 + 1/6*v**3. Factor z(s).
-s*(s - 1)*(s + 1)**2
Let j(m) = m - 2. Let x be j(5). Suppose x*g**3 - 2*g**4 - g**3 + 2*g**4 + 2*g**2 - 2*g - 2*g**4 = 0. Calculate g.
-1, 0, 1
Let n(v) = 4*v**2 - v. Let l be n(1). Determine p so that -4 + 24*p + l*p**2 - 5 - 19*p**2 = 0.
3/4
Factor -1/8*h**4 + 1/4*h**3 + 1/8 + 0*h**2 - 1/4*h.
-(h - 1)**3*(h + 1)/8
Factor -40*n**2 + 40 - 40*n**3 + 80*n**3 + 5*n - 45*n**3.
-5*(n - 1)*(n + 1)*(n + 8)
Let k(a) be the first derivative of -3*a**6/2 - 6*a**5/5 + 9*a**4/4 + 2*a**3 + 22. What is i in k(i) = 0?
-1, -2/3, 0, 1
Let r = 6 - 2. Determine t so that t**4 - 2*t**r - 4 + 3 + 4*t**2 - 2*t**2 = 0.
-1, 1
Let u(g) = 3*g**2 + 3*g - 2. Let k be u(2). Let s be (4/8)/(2/k). Factor 4*c**2 - c**2 + 2*c**3 - 5*c**2 - s*c.
2*c*(c - 2)*(c + 1)
Find h such that 6/13*h**4 - 4/13*h**2 - 2/13 - 4/13*h**3 - 2/13*h**5 + 6/13*h = 0.
-1, 1
Let 6/7*h**2 + 6/7*h - 2*h**3 - 4/7 + 6/7*h**4 = 0. Calculate h.
-2/3, 1
Let g(t) = -7*t**2 + 73*t - 39. Let d(i) = -2*i**2 + 18*i - 10. Let l(w) = -9*d(w) + 2*g(w). Determine s so that l(s) = 0.
1, 3
Let c = 206 - 5767/28. Let y(q) be the third derivative of 1/21*q**3 - 2/105*q**5 + 0*q + c*q**4 + 0 + 2*q**2. Factor y(r).
-2*(r - 1)*(4*r + 1)/7
Let y be 1 + 1*(2 + -1). Let y*j**2 + 5*j - 5*j + 2*j**3 = 0. What is j?
-1, 0
Let f = 452 - 452. Solve 2/17*v**4 + f*v - 2/17*v**2 + 0 + 0*v**3 = 0.
-1, 0, 1
Let i = 0 - 0. Suppose a + 25 = 5*j, -2*a + i = j + 6. Suppose h**2 + 0 - h - j + 3 + h**3 = 0. Calculate h.
-1, 1
Let n(j) be the second derivative of j**5/110 + j**4/33 - j**3/33 - 2*j**2/11 + 11*j. Factor n(g).
2*(g - 1)*(g + 1)*(g + 2)/11
Let z(c) = c**2 - 1. Let w be z(-4). Let k(r) = 3*r**2. Let o(v) = 14*v**2 - 2*v. Let n(y) = w*k(y) - 3*o(y). Factor n(q).
3*q*(q + 2)
Let c(s) = s**3 - 5*s**2 + s - 9. Let b(o) = -o**3 + 5*o**2 - o + 8. Let m(k) = -4*b(k) - 3*c(k). Let l 