is a in r(a) = 0?
0
Let a = 33 - 30. Let g(o) be the first derivative of -1/18*o**4 + 0*o + 4/27*o**a - 1/9*o**2 + 3. Factor g(k).
-2*k*(k - 1)**2/9
Suppose -4*p**2 - 6*p**2 + 11*p**2 - 2*p = 0. What is p?
0, 2
Let r(p) be the second derivative of 3*p**5/4 - 4*p**4/3 + 2*p**3/3 + 4*p. What is h in r(h) = 0?
0, 2/5, 2/3
Suppose -4*q + 9 = -3*c - 22, 0 = -3*q + 12. Let f be 6/(-5)*c/7. Determine d, given that -2/7*d**2 - 4/7 - f*d = 0.
-2, -1
Let z(s) be the third derivative of -s**5/60 + s**4/6 - 2*s**3/3 - 3*s**2. Factor z(q).
-(q - 2)**2
Let l(x) be the first derivative of x**7/2940 - x**6/315 + x**5/105 + 4*x**3/3 + 5. Let m(h) be the third derivative of l(h). Factor m(u).
2*u*(u - 2)**2/7
Let j(g) be the third derivative of g**6/360 - g**5/60 + g**4/36 + g**2. Find s such that j(s) = 0.
0, 1, 2
Let f(d) be the first derivative of -d**8/6720 - d**7/1680 + 4*d**3/3 + 7. Let t(b) be the third derivative of f(b). Determine n, given that t(n) = 0.
-2, 0
Let h be 12/9 - (-2)/3. Let m be (-48)/(-27) - h/(-9). Factor 2*c + 0*c**2 + 2*c**m - 4*c**2.
-2*c*(c - 1)
Let d(u) be the third derivative of u**6/120 + u**5/5 + 2*u**4 + 32*u**3/3 - 7*u**2. Solve d(w) = 0.
-4
Let v(d) be the first derivative of -2 + 0*d - d**2 + 1/15*d**3 + 1/150*d**5 - 1/30*d**4. Let i(n) be the second derivative of v(n). Factor i(k).
2*(k - 1)**2/5
Let t be (9 + -9)*(0 + 1). Let s(j) be the second derivative of 0 - 1/18*j**4 + 1/20*j**5 + j + t*j**2 + 0*j**3. Solve s(o) = 0.
0, 2/3
Let f(i) = -3*i**2 + 2*i + 2. Let g(a) = a**2 - a + 1. Let j(z) = -3*f(z) - 6*g(z). Suppose j(k) = 0. Calculate k.
-2, 2
Let m(b) = -b**3 - b**2 + 1. Let j(u) = 11*u**3 - 11*u**2 - 5*u - 1. Let a(c) = 5*j(c) + 15*m(c). Suppose a(p) = 0. What is p?
-1/2, 1/4, 2
Let l(m) be the second derivative of -m**8/2184 - m**7/1365 + m**6/780 + m**5/390 - 3*m**2/2 + 3*m. Let c(w) be the first derivative of l(w). Factor c(j).
-2*j**2*(j - 1)*(j + 1)**2/13
Let f(w) be the third derivative of -w**6/720 - w**5/80 - w**4/24 + w**3 + 3*w**2. Let d(x) be the first derivative of f(x). Factor d(p).
-(p + 1)*(p + 2)/2
Let g(d) be the first derivative of d**4/28 + 2*d**3/7 + 9*d**2/14 + 4*d/7 - 6. Find y, given that g(y) = 0.
-4, -1
Determine l, given that -2/3*l + 4/9 - 10/9*l**2 = 0.
-1, 2/5
Let w(f) be the third derivative of 0 + 0*f + 1/210*f**6 + 1/245*f**7 + 0*f**4 + 0*f**5 + 0*f**3 + 1/1176*f**8 - f**2. Factor w(r).
2*r**3*(r + 1)*(r + 2)/7
Let t be 6/2 - 15/6. Determine f, given that -1/2*f**3 + 1/2*f**2 - t + 1/2*f = 0.
-1, 1
Let v = -2811046/293 - -9594. Let i = v + 14369/879. Find x such that 0 + 28/3*x**2 + i*x**3 + 4/3*x = 0.
-2/7, 0
Let a be ((-3)/(-3))/(1/21). Let v be (-26)/56 - a/(-28). Find p such that v*p**3 + 6/7*p + 6/7*p**2 + 2/7 = 0.
-1
Let y be (-6 + (-20)/(-4))*1/(-3). What is b in y*b**5 + 2*b**3 - 4/3*b**2 + 0 + 1/3*b - 4/3*b**4 = 0?
0, 1
Suppose -521*c + 518*c + 6 = 0. Let -14/3*r - 44/3*r**3 - c*r**5 + 26/3*r**4 + 12*r**2 + 2/3 = 0. Calculate r.
1/3, 1
Let b(r) be the third derivative of r**6/420 - r**4/84 + 2*r**2. Factor b(z).
2*z*(z - 1)*(z + 1)/7
Let o(n) be the third derivative of -n**9/1512 + n**8/420 - n**6/90 + n**5/60 + 4*n**3/3 + 7*n**2. Let d(q) be the first derivative of o(q). Factor d(x).
-2*x*(x - 1)**3*(x + 1)
Factor 25/4*l**2 - 15/2 - 65/4*l.
5*(l - 3)*(5*l + 2)/4
Let i = -9 + 11. Suppose 2*a**i + 0 - 3*a + 0 + 7*a = 0. What is a?
-2, 0
Let d(h) be the third derivative of -1/30*h**5 - h**2 + 0 - 1/30*h**6 - 2/3*h**3 + 0*h + 5/12*h**4. Factor d(k).
-2*(k - 1)*(k + 2)*(2*k - 1)
Let p(a) be the third derivative of -a**6/960 + a**4/192 - 24*a**2. Let p(g) = 0. Calculate g.
-1, 0, 1
Let a(l) be the first derivative of 0*l - 1/3*l**2 + 2 + 1/6*l**4 + 0*l**3. Solve a(z) = 0.
-1, 0, 1
Let u(y) = -3*y**3 - 6*y**2 + 6*y. Let k(c) be the third derivative of -c**6/15 - 19*c**5/60 + 19*c**4/24 - 2*c**2. Let r(i) = -6*k(i) + 17*u(i). Factor r(x).
-3*x*(x - 2)**2
Let b = 411 - 2871/7. Find w, given that -2/7*w**3 + 2/7 + b*w**2 - 6/7*w = 0.
1
Suppose -5*y + 7*y**4 + 70 - 31 + 2*y**3 + 3*y**5 - 40 - 6*y**2 = 0. What is y?
-1, -1/3, 1
Factor 5*h**2 + 513*h + 505*h - 1078*h.
5*h*(h - 12)
Let v(r) be the second derivative of r**7/14 - r**6/5 - 3*r**5/20 + r**4/2 + 5*r. Find w such that v(w) = 0.
-1, 0, 1, 2
Let l(f) be the second derivative of f**7/168 + f**6/120 - 3*f**5/80 - f**4/48 + f**3/12 + 41*f. Let l(u) = 0. What is u?
-2, -1, 0, 1
Suppose 2*x - 3*m = 1, 6 = 4*x - 3*m + 1. Factor 5/4*i**3 - 1/2 + 7/4*i - 9/4*i**x - 1/4*i**4.
-(i - 2)*(i - 1)**3/4
Let w(r) be the third derivative of -r**7/420 + r**6/120 + r**5/30 - r**4/6 + r**2. What is o in w(o) = 0?
-2, 0, 2
Let b be (-3)/(-7) - 80/7. Let d = 123/11 + b. Determine t so that d*t + 0 + 0*t**2 - 2/11*t**3 = 0.
-1, 0, 1
Suppose 2*i + 4 + 22*i**2 - 3 - 21*i**2 = 0. What is i?
-1
Let m(z) be the second derivative of -1/189*z**7 + 1/45*z**5 + 0*z**2 - 1/27*z**3 + 0 - z + 0*z**6 + 0*z**4. Solve m(w) = 0 for w.
-1, 0, 1
Let b(i) be the first derivative of -1/90*i**6 + 1/40*i**5 + 1/24*i**4 + 0*i**2 - 2/3*i**3 + 0*i - 2. Let x(w) be the third derivative of b(w). Factor x(p).
-(p - 1)*(4*p + 1)
Let y = 48 - 46. Factor -3/4*l - 1/4 - 1/4*l**3 - 3/4*l**y.
-(l + 1)**3/4
Let x(w) be the first derivative of w**2/2 - 3*w - 1. Let i be x(5). Find q such that 1 - i*q + 2*q**2 + q**3 + q - 3*q**2 = 0.
-1, 1
Let w be ((-2)/5)/(4/(-40)). Factor -2*d + 0*d**4 - 2*d**2 - 2*d + 2*d**4 - w*d**2.
2*d*(d - 2)*(d + 1)**2
Let z be (-4)/(-8)*-33*4/(-6). Suppose 3*p = r + 11, p + 7 + 6 = -3*r. Factor 2*a**2 - a**3 + 0*a**5 - p*a**4 + 8 - 16*a - 2*a**5 + z*a**3.
-2*(a - 1)**3*(a + 2)**2
Suppose -3*g + 4 = -8. Solve -3*u**4 + u**g + 3*u**4 + u**2 - 2*u**3 = 0.
0, 1
Let w be (-5)/(5/(-4)) + 2. Suppose -m = -8 + w. Determine i so that 1/2*i + 5/2*i**3 + 1 - 4*i**m = 0.
-2/5, 1
Let d(f) = -f**3 + f + 2. Let x(p) = 1. Let k(r) = d(r) - 2*x(r). Determine i, given that k(i) = 0.
-1, 0, 1
Let f = 5307/7 - 758. What is k in f*k**2 + 1/7*k + 0 = 0?
-1, 0
Let c(o) = -o**4 - o**3 - o. Let r(z) = -3*z**4 + 55*z**3 - 588*z**2 + 2743*z - 4802. Let i(b) = -2*c(b) + 2*r(b). Factor i(s).
-4*(s - 7)**4
Let d = 9/320 - -1/192. Let r(s) be the second derivative of s + 2/9*s**4 + 0 - 5/9*s**3 + 2/3*s**2 - d*s**5. Suppose r(m) = 0. Calculate m.
1, 2
Suppose -5*r = -4*c - 63, 2*r + 5*c = 3*r - 21. Suppose -17 = -4*n + r. Factor 2*f - 4*f**2 + 2*f**2 - 3*f**2 - n*f**3.
-f*(f + 1)*(7*f - 2)
Let y(j) be the third derivative of 1/40*j**6 + 0 + 0*j + 0*j**3 + 1/210*j**7 + 1/24*j**4 + j**2 + 1/20*j**5. Determine a, given that y(a) = 0.
-1, 0
Suppose -2*d - 8 = -6*d. Suppose 0*k - 4 = -d*k - 2*i, 4*i = -k - 7. Suppose 8*t**2 - 8*t**2 - 2*t**k - 2*t**4 + 4*t**3 = 0. What is t?
-2, 0, 1
Let -3*c + 0 + 3*c**2 + 4*c - 3 - 3*c**3 + 2*c = 0. Calculate c.
-1, 1
Let b(n) be the first derivative of -n**3/12 + n**2/4 - 4. Solve b(z) = 0.
0, 2
Let s be 15/10*(-14)/(-3). Suppose -s*b + 4*b + 12 = 0. Factor -1/4*g**b + 1/4*g**2 + 0 + 0*g**3 + 0*g.
-g**2*(g - 1)*(g + 1)/4
Let p(q) = -7*q**3 - 5*q**2 + 3*q. Let x(t) = 10*t**3 + 7*t**2 - 5*t. Let g(c) = 7*p(c) + 5*x(c). Factor g(k).
k*(k - 2)*(k + 2)
Let d(u) be the third derivative of u**6/420 - u**4/84 - 3*u**2. Factor d(m).
2*m*(m - 1)*(m + 1)/7
Let k be (5/(40/(-3)))/((-9)/12). Factor 0 - k*u**2 + 0*u.
-u**2/2
Let j(v) be the first derivative of -v**3/12 - 3*v**2/8 - 8. Factor j(f).
-f*(f + 3)/4
Let m(f) be the third derivative of -7*f**6/480 - f**5/15 - 11*f**4/96 - f**3/12 - 14*f**2. What is x in m(x) = 0?
-1, -2/7
Let d(f) be the third derivative of f**6/120 - f**5/20 - 5*f**4/24 + f**3 + 2*f**2. Let m be d(4). Factor 2 + 3*l**m - 7*l**2 + 2*l**2.
-2*(l - 1)*(l + 1)
Factor 4/13*g**2 - 2/13*g**3 + 2/13*g - 4/13.
-2*(g - 2)*(g - 1)*(g + 1)/13
Factor -t**3 - 3*t**2 + 8*t**4 + 2*t**3 + 5*t**3 + t**2.
2*t**2*(t + 1)*(4*t - 1)
Let j(r) be the third derivative of -r**7/210 + r**6/120 + r**5/60 - r**4/24 + 2*r**2. Let j(o) = 0. What is o?
-1, 0, 1
Let c = -12 - -16. Suppose 0*u + 4*u = -3*k - 6, c*k + u = 5. Factor 1/4*q**3 + 0 + 0*q + 1/4*q**k.
q**2*(q + 1)/4
Let x(d) be the second derivative of d**6/315 + d**5/210 - d**4/42 - 5*d**3/63 - 2*d**2/21 + 5*d. Suppose x(k) = 0. What is k?
-1, 2
Let t(p) = 3*p**2 - p - 1. Let b be t(-1). Solve -2*k**3 - 4 - 5*k + 4*