r*j**2 = 0?
0
Let c(i) be the first derivative of -3*i**4/4 + i**3 + 6*i**2 - 12*i + 22. Factor c(v).
-3*(v - 2)*(v - 1)*(v + 2)
Let y = -125 + 129. Let t(n) be the second derivative of 1/27*n**3 + 0 + y*n + 1/9*n**2 - 1/90*n**5 - 1/54*n**4. Find z such that t(z) = 0.
-1, 1
Let d be -8*4/(-10) - (-1)/(-5). Factor -6/7*y**d + 2/7*y**2 + 0 + 6/7*y**4 - 2/7*y**5 + 0*y.
-2*y**2*(y - 1)**3/7
Let h(p) = p**3 + 7*p**2 + 4*p - 8. Suppose 3*u + 0*g = -2*g - 20, 4*g + 4 = 0. Let l be h(u). Factor -1/5*k**l + 0 + 1/5*k**2 + 1/5*k**3 - 1/5*k.
-k*(k - 1)**2*(k + 1)/5
Factor 11*z**2 + 2*z**4 - 39*z**2 + 11*z**2 + 19*z**2 + 4*z**3.
2*z**2*(z + 1)**2
Let b be 2 - ((-2)/2 - 2). Let a(c) be the third derivative of 0*c - 1/36*c**4 - 2/27*c**3 + 0 - 1/270*c**b + 2*c**2. Factor a(z).
-2*(z + 1)*(z + 2)/9
Suppose 5/4*s + 1/4*s**5 + 1/4 + 5/4*s**4 + 5/2*s**2 + 5/2*s**3 = 0. Calculate s.
-1
Let n be ((-18)/(-60))/((-6)/(-1016)). Let d = -50 + n. Solve -2/5 + d*i - 2/5*i**2 = 0.
1
Let m = -9 - -14. Let o(v) be the third derivative of -1/245*v**7 + 0*v**3 + 1/105*v**6 + 0*v + 0 + 3*v**2 - 1/42*v**4 + 1/210*v**m. Factor o(x).
-2*x*(x - 1)**2*(3*x + 2)/7
Let f be 1*-6*32/(-96). Find x, given that -2/11*x**f + 2/11*x + 0 = 0.
0, 1
Let k(a) be the first derivative of 0*a**2 + 0*a - 1/3*a**6 - 2/3*a**3 - 6/5*a**5 - 3/2*a**4 + 2. Factor k(y).
-2*y**2*(y + 1)**3
Let a(g) = -g**4 + 4*g**3 + g**2 + 4. Let j(l) = 1 + l**3 - 10*l + 10*l + 0. Let d(i) = a(i) - 4*j(i). Find q such that d(q) = 0.
-1, 0, 1
Let z = 5 - 1. Factor 3*a**3 - 3*a**4 + 2*a**z - 5*a**4 - 5*a**3.
-2*a**3*(3*a + 1)
Factor 0*i + 3/5*i**2 - 3/5.
3*(i - 1)*(i + 1)/5
Let n(q) be the first derivative of 9 + 2/5*q + 3/2*q**2 + 28/15*q**3. Let n(y) = 0. What is y?
-2/7, -1/4
Suppose 5*i - 21 = 2*p, 5*i - 9 = -4*p + 24. Let f = -438/5 + 88. Suppose 0 + 0*q + f*q**p = 0. Calculate q.
0
Let g(c) be the first derivative of c**5/20 - 3*c**2/2 - 4. Let w(u) be the second derivative of g(u). Factor w(k).
3*k**2
Let q be 3/((-8)/(-32)*6). Solve 3/5*r**5 + 0 - 3/5*r**q - 9/5*r**3 + 3/5*r**4 + 6/5*r = 0.
-2, -1, 0, 1
Let x(j) be the first derivative of j**5/240 - j**4/96 - j**3/12 + j**2/2 + 4. Let r(g) be the second derivative of x(g). Find z, given that r(z) = 0.
-1, 2
Factor 1/5*t**4 - 2/5*t**3 - 4/5*t**2 + 0*t + 1/10*t**5 + 0.
t**2*(t - 2)*(t + 2)**2/10
Let r(j) = 7*j. Let x(f) = -8*f + 1. Let c(b) = -7*r(b) - 6*x(b). Let i be c(-8). Suppose 8 + 8*n - 2*n**i + 3*n**2 + 4*n**2 - 3*n**2 = 0. What is n?
-2
Let u(h) be the third derivative of -h**8/4200 - h**7/2100 + h**6/900 + h**5/300 + h**3/2 + h**2. Let d(c) be the first derivative of u(c). Factor d(z).
-2*z*(z - 1)*(z + 1)**2/5
Let r(p) = 78*p**4 + 90*p**3 + 21*p**2 - 36*p. Let i(n) = -11*n**4 - 13*n**3 - 3*n**2 + 5*n. Let a(b) = -15*i(b) - 2*r(b). Suppose a(y) = 0. Calculate y.
-1, 0, 1/3
Let d - 6*d**4 - d**5 - 13*d**3 - 5*d + 0*d + 0*d - 12*d**2 = 0. Calculate d.
-2, -1, 0
Let k be (3/(-2))/((-36)/96). Factor 2*b**4 - 20/3*b**2 + 14*b - k*b**3 + 2/3*b**5 - 6.
2*(b - 1)**3*(b + 3)**2/3
Factor -3*j**4 - 54*j + 3*j**3 + 12*j**2 + 24*j + 18*j.
-3*j*(j - 2)*(j - 1)*(j + 2)
Let y(a) = a - 12. Let w be y(9). Let z be ((-2)/w)/(88/33). Let -z*h**4 + 3/4*h**3 + 1/4*h + 0 - 3/4*h**2 = 0. What is h?
0, 1
Let z(f) be the third derivative of -f**6/360 + 7*f**4/72 + f**3/3 + 22*f**2. Let z(o) = 0. What is o?
-2, -1, 3
Let x be (-3 - -3)/(0 + 1). Find a, given that x + 2*a - 2 - 6*a**2 - 2*a**3 + 2*a**4 + 0*a**3 + 6 = 0.
-1, 1, 2
Let h be (-3 + 0)*(-8)/3. Let i be (8/(-3))/(h/(-12)). Factor -f**2 - i - f**2 - 4 + 8*f.
-2*(f - 2)**2
Let z(h) be the first derivative of 1 + 1/60*h**5 - 1/6*h**3 + 0*h + 0*h**4 - 1/2*h**2. Let x(b) be the second derivative of z(b). Factor x(s).
(s - 1)*(s + 1)
Let z(q) = q + 1. Let u be z(3). Let m be (-25)/(-10) - (-2)/u. Factor 2*f**m - 2 - 6*f**2 + 6*f + 4*f**3 - 4*f**3.
2*(f - 1)**3
Let v(f) = -4*f**2 - 45*f + 49. Let h(l) = 2*l**2 + 22*l - 24. Let s(q) = 9*h(q) + 4*v(q). Factor s(k).
2*(k - 1)*(k + 10)
Suppose 9*o = 4 + 14. Let q(a) be the second derivative of 1/3*a**3 - 2/3*a**o + 2/15*a**6 + 0 - 13/30*a**5 + 1/3*a**4 + a. Suppose q(u) = 0. Calculate u.
-1/2, 2/3, 1
Let k(q) be the second derivative of 0*q**2 + 0 + 3/4*q**4 - 3/10*q**6 + 3/20*q**5 - q - q**3 + 1/14*q**7. Suppose k(t) = 0. What is t?
-1, 0, 1, 2
Let b(o) = -3*o - 48. Let i be b(-16). Factor 0 + i*q - 2/5*q**2 - 2/5*q**3.
-2*q**2*(q + 1)/5
Let r = 4 + -1. Factor 2*s - 3*s + s + s - 3*s**2 - 4*s**r.
-s*(s + 1)*(4*s - 1)
Suppose 5*o - k - k = -13, -2*k = 2*o + 8. Let t = o + 3. Solve 0*l + t*l**3 - 1/2*l**4 + 0*l**2 + 0 = 0 for l.
0
Factor 18*p**2 + 24*p**2 - 4*p**4 - 50*p**2 + 12*p**3.
-4*p**2*(p - 2)*(p - 1)
Let j(z) = 12*z**2 - 17*z + 3. Let o(k) = -103*k**2 - 30 + 164*k + 7*k - 17*k**2. Suppose 16*r - 20*r - 8 = 0. Let s(p) = r*o(p) - 21*j(p). Factor s(w).
-3*(w - 1)*(4*w - 1)
Factor 0 - 1/9*y + 2/9*y**2 - 1/9*y**3.
-y*(y - 1)**2/9
Let k(x) be the third derivative of 0*x + 0*x**5 + 0 - 2*x**2 + 1/40*x**6 - 3/8*x**4 - x**3. Determine g so that k(g) = 0.
-1, 2
Let j(x) be the third derivative of x**6/30 + 4*x**5/15 + 2*x**4/3 - 4*x**2. Solve j(y) = 0 for y.
-2, 0
Let d be (-8)/6*(-6)/16. Let w(t) be the first derivative of -8*t - 10/3*t**3 - 8*t**2 - 2 - d*t**4. Suppose w(l) = 0. Calculate l.
-2, -1
Factor 2/13*q**5 - 4/13*q - 2/13*q**4 - 6/13*q**3 + 10/13*q**2 + 0.
2*q*(q - 1)**3*(q + 2)/13
Let q(s) = -2*s**2 + 7*s**2 + 3*s - 2 - 2. Let j(p) = -6*p**2 - 4*p + 5. Let c(h) = -4*j(h) - 5*q(h). What is k in c(k) = 0?
0, 1
Let j = -1/3313 - -23251/198780. Let q(h) be the third derivative of 0*h + j*h**6 - h**2 + 3/10*h**5 + 0*h**3 + 0 + 1/6*h**4. Solve q(w) = 0.
-1, -2/7, 0
Let n(p) be the third derivative of 4*p**7/105 + p**6/30 - p**5/5 - p**4/6 + 2*p**3/3 - p**2. Factor n(g).
4*(g - 1)*(g + 1)**2*(2*g - 1)
Let x = 2542/45 + -278/5. Factor 10/9*r + 2/9*r**3 - x*r**2 - 4/9.
2*(r - 2)*(r - 1)**2/9
Factor -4*s**2 + 6*s**2 + 0*s**2 - 4*s.
2*s*(s - 2)
Let f(t) = -t**4 + t**3 - t**2 + t + 1. Let w(m) = -3*m**5 - 33*m**4 - 3*m**3 + 213*m**2 - 282*m + 114. Let d(k) = -6*f(k) + w(k). Factor d(i).
-3*(i - 1)**3*(i + 6)**2
Let n(r) be the third derivative of -r**9/30240 - r**8/5880 - r**7/5880 + r**6/1260 - r**5/12 + r**2. Let m(q) be the third derivative of n(q). Solve m(z) = 0.
-1, 2/7
Let y(s) be the first derivative of s**6/240 - s**4/16 - s**3 + 5. Let r(h) be the third derivative of y(h). Factor r(v).
3*(v - 1)*(v + 1)/2
Let -4/5*a - 28/5*a**4 + 18/5*a**2 - 6/5*a**3 + 0 = 0. What is a?
-1, 0, 2/7, 1/2
Let m(o) be the second derivative of -12/5*o**2 + 2*o**3 - 4*o - 63/100*o**5 + 17/10*o**4 + 0. Let m(s) = 0. Calculate s.
-2/3, 2/7, 2
Suppose -9 + 6 = -q. Factor -20*z**2 - q - 30*z**3 - 2*z**4 - 10*z**2 - 13*z**4 - 16*z - 3*z**5 + z.
-3*(z + 1)**5
Let o(m) be the third derivative of -m**7/210 + m**6/18 - m**5/10 - 3*m**4/2 + m**3/3 - 6*m**2. Let n(v) be the first derivative of o(v). Factor n(k).
-4*(k - 3)**2*(k + 1)
Suppose 0 = -6*s + 2*s + 4. Let y(t) = 2*t**2 - 5*t - 2*t**2 - 2*t**2 + s + 6*t**2. Let j(w) = 17*w**2 - 21*w + 4. Let p(d) = -4*j(d) + 18*y(d). Factor p(o).
2*(o - 1)*(2*o - 1)
Suppose 2*w + 11 = 3*s + 5, -4 = -s. Let 2/3*b**4 - 2/3*b**w + 0*b + 2/3*b**5 - 2/3*b**2 + 0 = 0. Calculate b.
-1, 0, 1
Let s(d) be the third derivative of -d**7/210 + d**6/40 - d**4/6 - 8*d**2. What is p in s(p) = 0?
-1, 0, 2
Find p, given that 2/5*p - 2/15*p**3 + 0*p**2 + 4/15 = 0.
-1, 2
Let j(y) = 32*y**3 + 8*y**2 + 12*y - 12. Let m(u) = 13*u**3 + 3*u**2 + 5*u - 5. Let p(a) = -5*j(a) + 12*m(a). Factor p(s).
-4*s**2*(s + 1)
Let n(w) be the third derivative of 0*w**3 + 0*w + 1/24*w**4 - 3*w**2 + 0 - 1/60*w**5. Let n(f) = 0. Calculate f.
0, 1
Let h = 40/7 - 2393/420. Let o(y) be the third derivative of 4*y**2 - 1/525*y**7 + 0*y + 0*y**3 + h*y**4 + 1/150*y**5 - 1/300*y**6 + 0. Factor o(b).
-2*b*(b - 1)*(b + 1)**2/5
Determine u so that 6/13*u**4 + 0*u - 2/13*u**5 + 0 - 4/13*u**3 + 0*u**2 = 0.
0, 1, 2
Suppose -2/7*j**2 - 4/7*j - 2/7 = 0. What is j?
-1
Let d(f) = 3*f**4 + 9*f**3 + 3*f**2 + 5*f + 5. Let l(k) = 2*k**4 + 5*k**3 + 2*k**2 + 3*k + 3. Let p(z) = 3*d(z) - 5*l(z). Solve p(o) = 0 for o.
0, 1
Let p = -23 - -25. Factor 3 - 6 + 0 - 12*a**p - 3 - 3*a**3 - 15*a.
-3*(a + 1)**2*(a + 2)
Let b = -8 - -13. 