m) = 3*m**2 + 3*m. Let o = 11 + -16. Let l(c) = o*p(c) + q*f(c). Determine b, given that l(b) = 0.
-1, 0
Let y(l) = 4*l**2 + 6*l + 2. Let c(r) = 9*r**2 + 13*r + 4. Let p(o) = -6*c(o) + 13*y(o). Let p(g) = 0. Calculate g.
-1, 1
Let a(m) be the second derivative of m**7/462 - m**6/330 - 3*m**5/110 - m**4/66 + 5*m**3/66 + 3*m**2/22 + 16*m. Determine i so that a(i) = 0.
-1, 1, 3
Let p(u) = u**2 + u - 1. Let i(y) = 2*y**2 + y - 1. Let h be (-3 - -4)*1/1. Let w(c) = h*i(c) - p(c). Let w(l) = 0. Calculate l.
0
Let m = -11913/4 + 2946. Let a = -32 - m. Factor 2 + g - 1/2*g**2 - a*g**3.
-(g - 2)*(g + 2)**2/4
Let b(d) be the third derivative of 1/8*d**4 + 0*d + 0 + 1/120*d**6 + 1/20*d**5 - d**2 + 1/6*d**3. Factor b(r).
(r + 1)**3
Suppose 2*a + 60 = 6*a. Suppose -5 = -4*z + a. Factor 1/4*d - 1/4 + 1/2*d**2 - 1/4*d**4 + 1/4*d**z - 1/2*d**3.
(d - 1)**3*(d + 1)**2/4
Let o(a) be the third derivative of a**5/75 + a**4/15 + 2*a**3/15 - 4*a**2. Let o(q) = 0. What is q?
-1
Let o = -3007/5355 - -48/85. Let b(d) be the third derivative of o*d**7 - 1/36*d**4 + 0*d**3 + d**2 + 1/180*d**6 - 1/90*d**5 + 0 + 0*d. Factor b(z).
2*z*(z - 1)*(z + 1)**2/3
Let j(y) be the second derivative of 2*y + 1/120*y**5 + 0 + 0*y**3 + 1/96*y**4 + 1/2*y**2 + 1/480*y**6. Let w(t) be the first derivative of j(t). Factor w(n).
n*(n + 1)**2/4
Let v(h) be the first derivative of 2/15*h**3 + 3 + 0*h + 3/5*h**2. Factor v(t).
2*t*(t + 3)/5
Let j(h) be the second derivative of 0 - 1/9*h**3 + 0*h**2 + 1/3*h**4 + h - 1/6*h**5. Find l, given that j(l) = 0.
0, 1/5, 1
Let i(p) = 4*p + 1. Let y(g) = -g**2 + g - 1. Let s(l) = i(l) - y(l). Let o be s(-3). Factor -4*r**2 - 2*r + o*r**3 - r + 5*r.
2*r*(r - 1)**2
Let q(i) be the third derivative of i**5/20 - 3*i**4/8 + i**3 + 5*i**2. Find z, given that q(z) = 0.
1, 2
Suppose -7 = -2*g + 1. Let k(z) = -7*z - 25. Let y be k(-4). Factor 2*p**g + y*p**2 - 2*p**3 + 0*p**4 - 5*p**2 + 2*p**5.
2*p**2*(p - 1)*(p + 1)**2
Let d(x) = -9*x**3 - 5*x**2 + x + 5. Let z(t) = t**3 + t. Let l(w) = -d(w) - 4*z(w). Factor l(c).
5*(c - 1)*(c + 1)**2
Let v = 8 - 3. Let k = -12 + v. Let c(u) = -5*u**4 - 3*u**3 + u**2 - 15*u + 15. Let b(s) = 2*s**4 + s**3 + 7*s - 7. Let m(a) = k*b(a) - 3*c(a). Factor m(r).
(r - 1)**2*(r + 2)**2
Let u be ((-2)/(-4) - -2)*(-54)/(-810). Factor -u*q**2 - 1/6*q + 1/3.
-(q - 1)*(q + 2)/6
Factor -10/19*d**4 + 18/19*d**3 + 4/19*d - 14/19*d**2 + 2/19*d**5 + 0.
2*d*(d - 2)*(d - 1)**3/19
Let u = -735/4 + 2209/12. Solve -u*k**4 - 1/3*k**5 + 2/3*k**2 - 1/3 + 2/3*k**3 - 1/3*k = 0 for k.
-1, 1
Let l = -3 + 3. Let v(m) be the second derivative of 1/60*m**6 + 0*m**5 - 1/24*m**4 + 0*m**2 + 0*m**3 + l + 2*m. Factor v(o).
o**2*(o - 1)*(o + 1)/2
Let c(q) be the third derivative of q**7/630 + q**6/120 - q**5/36 - q**4/24 + 2*q**3/9 - 40*q**2. Factor c(u).
(u - 1)**2*(u + 1)*(u + 4)/3
Let f(q) be the third derivative of -q**6/24 - q**5/12 + 5*q**4/12 + 24*q**2. Factor f(o).
-5*o*(o - 1)*(o + 2)
Determine w, given that 4*w - 6 + 9*w**2 + 15*w**2 + 3 + 12*w**5 - 5 - 16*w**4 - 16*w**3 = 0.
-1, -2/3, 1
Let o(i) be the first derivative of -i**8/400 + 2*i**7/175 - 11*i**6/600 + i**5/100 - i**3/3 + 1. Let d(x) be the third derivative of o(x). Factor d(g).
-3*g*(g - 1)**2*(7*g - 2)/5
Suppose -h - 4 = 5*f, 7 + 15 = 4*h + f. Let k = h + -5. Let y(z) = z**2 - z. Let a(g) = 2*g**3 + 3*g**2 - 7*g + 2. Let o(b) = k*a(b) - 5*y(b). Factor o(q).
2*(q - 1)**2*(q + 1)
Let d be 10/2 + -1 + (-629)/185. Let -d - 2/5*w + 1/5*w**2 = 0. What is w?
-1, 3
Let t(x) be the third derivative of 5*x**8/336 + x**7/21 - x**5/6 - 5*x**4/24 - 55*x**2. Factor t(z).
5*z*(z - 1)*(z + 1)**3
Let z(n) be the first derivative of n**2 - 1/12*n**4 + 1/6*n**3 + 1 + 2*n. Let v(o) be the first derivative of z(o). Determine s so that v(s) = 0.
-1, 2
Let u(r) be the third derivative of -r**5/600 - r**4/80 + r**3/15 - 17*r**2. Let u(x) = 0. Calculate x.
-4, 1
Find b, given that 6*b**2 + 0*b - 2*b**2 + 0*b + 4*b = 0.
-1, 0
Let k(s) be the first derivative of -1 + 2/3*s**3 - 2*s**2 + 2*s. Find n, given that k(n) = 0.
1
Factor -4/7 - 24/7*c - 36/7*c**2.
-4*(3*c + 1)**2/7
Let v be (-54)/(-42) + (-4)/14. Let l = 4 - v. Factor -2*d**5 - 2*d + 5*d**3 - d**l + 0*d**5.
-2*d*(d - 1)**2*(d + 1)**2
Let v(x) be the first derivative of -4 + 7/5*x**4 + 22/25*x**5 - 1/5*x**2 + 1/5*x**6 + 4/5*x**3 - 2/5*x. Factor v(f).
2*(f + 1)**4*(3*f - 1)/5
Suppose 4*s = -i + 2, -5*s = -5*i - 11 - 4. Suppose 4*v - b - 2 = 11, -4*b - s = v. Solve 2*m**2 + 2*m - 5*m - v*m**5 + 4*m**5 + 2*m - 2*m**4 = 0.
-1, 0, 1
Factor 0 - 2/5*l**3 + 2/5*l**2 + 0*l.
-2*l**2*(l - 1)/5
What is a in -2*a**5 - 158*a**4 + 0*a**5 - 12*a**3 + 172*a**4 = 0?
0, 1, 6
Let p(h) be the second derivative of -h**4/30 + 2*h**3/15 - h**2/5 + 3*h. Solve p(a) = 0.
1
Let m = -129 - -129. Let q(j) be the first derivative of m*j + 0*j**2 - 4 + 9/5*j**5 + 1/2*j**6 + j**3 + 9/4*j**4. Solve q(z) = 0 for z.
-1, 0
Let h be -34 - -40 - (-1 - -7). Let h + 4/13*a - 10/13*a**2 = 0. What is a?
0, 2/5
Suppose 0 = 2*d + 5*h - 11, 5*d - 12 = -2*h + 5. Suppose -i + d*i = 4. Find u such that 1/3 - 1/3*u**i + 0*u = 0.
-1, 1
Let n(z) be the third derivative of -14*z**7/15 + 7*z**6/10 + 8*z**5/5 + 2*z**4/3 + 10*z**2. Find i, given that n(i) = 0.
-2/7, 0, 1
Let p(r) be the third derivative of r**8/216 + r**7/189 - r**6/270 + r**2. Find t such that p(t) = 0.
-1, 0, 2/7
Let j(h) be the third derivative of -h**8/84 - 2*h**7/35 - h**6/10 - h**5/15 + 6*h**2. Find t such that j(t) = 0.
-1, 0
Suppose -3*v + 3 = -2*v. Suppose a + 4*a - 2*a**2 - v*a = 0. What is a?
0, 1
Find v, given that -2/3*v**4 + 1/3*v**5 + 0 - 1/3*v + 2/3*v**2 + 0*v**3 = 0.
-1, 0, 1
Let d = -425 + 1291/3. Factor -d + 4*l**2 + 0*l - 4/3*l**3.
-4*(l - 2)**2*(l + 1)/3
Suppose -4 = -4*w + 32. Suppose 3*x**2 + 11 - 4*x**2 + 2*x**3 - 2*x - w - x**2 = 0. What is x?
-1, 1
Let x be ((-15)/25)/(6/(-8)). Factor -2/5 + x*g**3 - 4/5*g**2 - 6/5*g + 6/5*g**4 + 2/5*g**5.
2*(g - 1)*(g + 1)**4/5
Let a = 46 + -43. Let j(b) be the first derivative of 0*b + 0*b**4 + 0*b**2 + 0*b**3 - 1/15*b**5 - a. Factor j(k).
-k**4/3
Solve -6/7*u + 0 - 2/7*u**2 = 0 for u.
-3, 0
Suppose -7*g = -3*g. Let x = g + 4. Solve 32*m**2 - 30*m**4 - 32*m**4 - 19*m**4 - 45*m**3 - x*m = 0 for m.
-1, 0, 2/9
Let c be -5*(-451)/4675 + (-2)/(-17). Factor 1/5*i**2 + c*i + 2/5.
(i + 1)*(i + 2)/5
Let k(s) be the third derivative of -s**8/1512 - s**7/945 + s**6/270 + s**5/135 - s**4/108 - s**3/27 + 6*s**2. Find z, given that k(z) = 0.
-1, 1
Let k(b) be the third derivative of b**5/210 - b**3/21 + 3*b**2. Factor k(v).
2*(v - 1)*(v + 1)/7
Let a(v) be the first derivative of -v**4/2 - 10*v**3/3 - 7*v**2 - 6*v - 8. Factor a(z).
-2*(z + 1)**2*(z + 3)
Suppose 24*u - 3*u**2 - 64 + 1/8*u**3 = 0. Calculate u.
8
Let c be (-1)/(3 + (-40)/14). Let s = -7 - c. Factor -i**2 - 1/3*i**3 + s - 2/3*i.
-i*(i + 1)*(i + 2)/3
Let t(v) be the first derivative of v**5/6 - v**4/6 - 3*v**2/2 + 6. Let u(n) be the second derivative of t(n). What is m in u(m) = 0?
0, 2/5
Let f(z) be the first derivative of 14*z**5/65 - 19*z**4/26 + 10*z**3/13 - z**2/13 - 4*z/13 - 31. Factor f(g).
2*(g - 1)**3*(7*g + 2)/13
Let f = 29 - 24. Find o such that -o - f + 5 + o**2 + 1 - 3 = 0.
-1, 2
Suppose 0 = 4*x - 0*o + 3*o - 15, -4*x + 10 = -2*o. Suppose -4*s + 6*s = 3*w - 4, 8 = 5*w - 2*s. Factor j**2 - 3*j**4 + j**5 - 2*j**5 - w*j**2 - 3*j**x.
-j**2*(j + 1)**3
Let w(c) be the third derivative of -c**8/10080 + c**7/3780 + c**6/540 + 7*c**4/24 - c**2. Let l(t) be the second derivative of w(t). Let l(p) = 0. What is p?
-1, 0, 2
Let z(q) be the second derivative of 1/10*q**5 + 0*q**2 - 4*q + 0 + 0*q**3 - 1/12*q**4 - 1/30*q**6. Factor z(a).
-a**2*(a - 1)**2
Let k(u) = u**2 - 5*u - 24. Let m be k(-3). What is p in m + 2/5*p**2 + 2/5*p**3 - 4/5*p = 0?
-2, 0, 1
Let g be (-8)/(-3)*(-7)/(-21). Let k be 4*1*2/36. Factor 4/3*v**2 + k - 8/9*v**3 - g*v + 2/9*v**4.
2*(v - 1)**4/9
Let z(l) be the third derivative of -l**8/3360 + l**7/525 - l**6/200 + l**5/150 + l**4/24 + 2*l**2. Let q(o) be the second derivative of z(o). Factor q(w).
-2*(w - 1)**2*(5*w - 2)/5
Let g(x) be the third derivative of x**6/420 - x**4/84 - 6*x**2. Determine r so that g(r) = 0.
-1, 0, 1
Factor 2/3*d**2 + 1/3 - d.
(d - 1)*(2*d - 1)/3
Let d be 4 + 0 - (0 + 3). Let w be 2/(-2)*d*0. Factor