ivative of -d**6/30 - d**5/20 + d**4/4 + d**3/6 - d**2 - 23*d. Factor j(b).
-(b - 1)**2*(b + 1)*(b + 2)
Let b(o) be the third derivative of -o**11/831600 + o**10/378000 + o**5/12 + o**2. Let c(h) be the third derivative of b(h). Let c(d) = 0. Calculate d.
0, 1
Let k(h) = h**4 + 4*h**2 + 2*h - 1. Let z(c) = 3*c**4 + 9*c**2 + 5*c - 2. Let m(o) = o**2 + 5*o + 4. Let r be m(-3). Let x(i) = r*z(i) + 5*k(i). Factor x(j).
-(j - 1)**2*(j + 1)**2
Let i be (3/(-9))/(2/(-12)). Suppose h - i = -0*h. Let j(n) = -n**3 - 3*n - 2. Let c(b) = -3*b**3 - 7*b - 5. Let v(t) = h*c(t) - 5*j(t). Solve v(a) = 0.
-1, 0, 1
Find t such that 39*t + 11 - 8*t**2 + 4 + 33*t**2 + 5*t**3 - 4*t = 0.
-3, -1
Factor 6*h**5 - 86*h**3 - 26*h**5 - 68*h**4 - 8*h - 60*h**2 + 2*h**3 + 16*h**2.
-4*h*(h + 1)**3*(5*h + 2)
Let t(j) be the second derivative of j**5/140 + j**4/28 + j. Factor t(v).
v**2*(v + 3)/7
Let x(b) be the third derivative of -b**8/672 + b**6/240 + 5*b**2. Let x(k) = 0. What is k?
-1, 0, 1
Determine x so that 0 + 8/5*x**2 + 2/5*x**3 + 8/5*x = 0.
-2, 0
Let w be (-340)/(-153) + (-4)/18. Suppose 0 = -5*t + 5*f + 25, 0*t + 10 = -4*t - w*f. Factor -1/4*h**2 + 1/4*h + t + 1/4*h**4 - 1/4*h**3.
h*(h - 1)**2*(h + 1)/4
Factor -6/5*v**2 + 0*v - 1/5*v**3 + 0.
-v**2*(v + 6)/5
Let v(c) = 48*c**3 - 93*c**2 + 51*c - 15. Let y(w) = 24*w**3 - 47*w**2 + 26*w - 8. Let k(n) = 5*v(n) - 9*y(n). Find z such that k(z) = 0.
1/4, 1/2, 1
Let m be 0 - 0 - (5 - 8). Suppose -m*l + 2*g = -4 + 1, 5*l - 4*g = 3. Factor 0 + 7*y - 2 - 10*y + y**l.
(y - 2)*(y + 1)**2
Let j(i) be the first derivative of i**4/4 - 2*i**2 + 3. Suppose j(p) = 0. What is p?
-2, 0, 2
Let t(n) be the second derivative of -1/30*n**4 + 0*n**3 - 1/50*n**5 + 4*n + 0 + 0*n**2. Factor t(s).
-2*s**2*(s + 1)/5
Suppose -4 + 19 = 5*f. Let c(j) be the second derivative of 0*j**f - 1/48*j**4 + 1/8*j**2 + 0 + j. Factor c(b).
-(b - 1)*(b + 1)/4
Let v(g) = g + 11. Let h be v(-9). Factor -l + 5*l**2 - 5*l**2 + 0*l**2 + l**h.
l*(l - 1)
Let o(r) be the third derivative of 0 + 0*r**4 - 1/140*r**7 + 3/40*r**6 + r**2 + 0*r**3 + 0*r - 9/40*r**5. Factor o(i).
-3*i**2*(i - 3)**2/2
Let p(u) be the third derivative of u**7/1785 - 4*u**5/255 + 16*u**3/51 + 14*u**2. Factor p(i).
2*(i - 2)**2*(i + 2)**2/17
Let u(d) = d**3 + 9*d**2 + 18*d + 5. Let n be u(-6). Let b(p) be the second derivative of 0 - 1/26*p**4 - 1/13*p**3 - 1/130*p**n + p - 1/13*p**2. Factor b(z).
-2*(z + 1)**3/13
Suppose -5 - 5 = -5*y. What is b in b**4 + y*b**3 - 4*b**2 - 3*b**3 + b + 3*b**2 = 0?
-1, 0, 1
Suppose m = 3*m - 10. Let d(q) = -7*q**2 + 3*q. Let k(o) be the first derivative of -o**3 + o**2/2 - 1. Let c(y) = m*k(y) - 2*d(y). Solve c(b) = 0.
-1, 0
Suppose 4*g = 5*i - 30, 0*i - 4*i + 33 = -5*g. Let n(l) be the first derivative of 2 + 4*l + 40/3*l**3 + 13*l**i. Determine t, given that n(t) = 0.
-2/5, -1/4
Let z(r) be the first derivative of 2*r**6/15 - 8*r**5/25 - 3*r**4/5 + 16*r**3/15 + 8*r**2/5 + 34. Determine v so that z(v) = 0.
-1, 0, 2
Let u(a) be the third derivative of -a**6/720 + a**5/120 - a**3/2 - a**2. Let f(k) be the first derivative of u(k). Factor f(q).
-q*(q - 2)/2
Let b = 7 - 4. Let v(n) be the first derivative of -1 - 2*n + 2*n**b + 7*n**2 + 2 - 9*n**2. Solve v(q) = 0 for q.
-1/3, 1
Let c(o) be the first derivative of -3*o**2/2 - 3*o + 6. Let n be c(-2). Solve 0 + 6/7*z**4 - 4/7*z**n - 2/7*z**5 + 0*z + 0*z**2 = 0.
0, 1, 2
Find n such that -1/2*n**4 - 1/2*n**2 + 0*n + 0 - n**3 = 0.
-1, 0
Let p(o) be the second derivative of 13*o**7/252 - o**6/90 - 13*o**5/60 + o**4/18 + 13*o**3/36 - o**2/6 + 10*o. Suppose p(w) = 0. What is w?
-1, 2/13, 1
Let c(b) be the third derivative of 7/30*b**7 + 7/48*b**8 - 1/15*b**5 - 4*b**2 + 0*b**4 + 0 + 0*b - 1/30*b**6 + 0*b**3. Solve c(g) = 0.
-1, -2/7, 0, 2/7
Let h be -1 + (4 - -3) + -3. Determine o, given that -o**h + 5*o**2 + 42*o - 9 - 45*o + 0*o**3 = 0.
-1, 3
Let h(u) be the first derivative of -u**6/600 + u**5/100 - 2*u**3/3 - 2. Let l(p) be the third derivative of h(p). Solve l(m) = 0 for m.
0, 2
Suppose 83 - 39*i**2 - 265*i - 16*i**2 - 33 = 0. What is i?
-5, 2/11
Let o(n) = 8*n**4 + 5*n**3 - 13*n**2 + 5*n. Let v(m) = -16*m - 12*m**3 - 20*m**4 + 32*m**2 + 0*m**4 + 4*m. Let s(y) = -12*o(y) - 5*v(y). Factor s(b).
4*b**2*(b - 1)*(b + 1)
Let u = 19/5 + -2304/605. Let l = u + 245/363. Find c such that 0*c - 2/3*c**2 + l = 0.
-1, 1
Let k(d) = 11*d**2 + 19*d - 6. Suppose -u - 2*u + 18 = 0. Let s(t) = t**2 + t. Let b(r) = u*s(r) - k(r). Factor b(c).
-(c + 3)*(5*c - 2)
Factor 1/3*a**2 + 0*a + 0.
a**2/3
Let q(m) = m - 21. Let s be q(11). Let f be (-16)/s + (-15)/25. Factor f + w + 0*w - 3*w**3 - w**2 - 2*w + 4*w**3.
(w - 1)**2*(w + 1)
Let o be (6/8)/(4*(-11)/(-44)). Let m = 18/7 - 9/28. Factor -o*u**3 + 0 - 3/2*u + m*u**2.
-3*u*(u - 2)*(u - 1)/4
Let w(x) be the first derivative of -x**4 - 2/5*x**5 + 2*x**2 + 2/3*x**3 - 3 + 0*x. Factor w(q).
-2*q*(q - 1)*(q + 1)*(q + 2)
Let w(g) = -g**4 - g**3 - g**2 + 1. Let t(i) = -i**5 + i**4 + 2*i**3 + 3*i**2 - 3. Let f(q) = t(q) + 3*w(q). Let f(z) = 0. Calculate z.
-1, 0
Let s(r) be the second derivative of r**7/3360 - r**6/720 + r**5/480 + r**3/6 + r. Let z(l) be the second derivative of s(l). Let z(o) = 0. What is o?
0, 1
Let p = -21 - -9. Let q be (-1)/p + 1/4. Determine o so that -q + 0*o**4 + 7/3*o**3 - o + 1/3*o**2 - 4/3*o**5 = 0.
-1, -1/2, 1
Let r(x) = 2*x**2 - 9*x + 13. Let j be r(4). Suppose -2*m + j = -0*h - h, -h = -m + 7. Factor 147*w**m + 4 - 343/2*w**3 - 42*w.
-(7*w - 2)**3/2
Let l(c) = c**3 + 8*c**2 - c - 8. Let t be -2 + (-3 - -5 - 8). Let j be l(t). Solve 1/3*u**5 + j + 0*u**2 - 2/3*u**4 + 1/3*u**3 + 0*u = 0 for u.
0, 1
Let a(q) = 6*q**2 + 6. Let r = 5 - 12. Let j = 3 + r. Let l(o) = -7*o**2 + o - 7. Let z(s) = j*l(s) - 5*a(s). Factor z(t).
-2*(t + 1)**2
Let n(y) = -3*y**3 + 3*y**2 + y - 2. Let c be n(2). Let d be c/105 - 4/(-10). Factor d*m**2 + 2/7*m - 4/7.
2*(m - 1)*(m + 2)/7
Factor 24/7 - 30/7*x**2 - 18/7*x**3 + 24/7*x.
-6*(x - 1)*(x + 2)*(3*x + 2)/7
Factor 5 + 6 - 17 + 3*s**2 - 3*s.
3*(s - 2)*(s + 1)
Let j(y) be the second derivative of -y**7/1260 - y**6/180 - y**5/60 - y**4/36 - y**3/36 - 4*y**2 - 9*y. Let x(k) be the first derivative of j(k). Factor x(d).
-(d + 1)**4/6
Let d = 2 + -5. Let s be 4 - d/6*-4. Determine j so that j**5 + j**3 + s*j**4 + 7 - 7 = 0.
-1, 0
Suppose 0 = 5*b - b - 16. Suppose -r - 3 = -2*j, -b*j - 1 + 19 = 2*r. Find g, given that 0*g + 3/4*g**4 + 3/4*g**5 - 3/4*g**2 + 0 - 3/4*g**r = 0.
-1, 0, 1
Let z = -597 - -597. Factor z + 1/2*h + 1/4*h**2.
h*(h + 2)/4
Suppose 10 = h - 5*a, -5*h + 4*a + 10 = 2. Factor f**2 + 0*f + h - 2 + f.
(f - 1)*(f + 2)
Let k be (-3 - 6)/((-9)/12). Factor u**3 + 4*u + k*u**2 + 3*u**3 + u**4 + u**3 - 4*u**2.
u*(u + 1)*(u + 2)**2
Let l(k) = -9*k**3 - k**2 - 2*k - 1. Let g = 3 - 4. Let p be l(g). Let -q**3 + 5*q**5 - 3*q**5 - q**4 + p - 9 = 0. What is q?
-1/2, 0, 1
Let b(c) be the first derivative of c**4/2 + 10*c**3/3 + 7*c**2 + 6*c - 3. Factor b(r).
2*(r + 1)**2*(r + 3)
Suppose f - 2 = 3. Factor 0*g**2 - f*g**2 + 4*g - 11*g**2 + 7*g**3.
g*(g - 2)*(7*g - 2)
Suppose 0 = 6*n - 9 - 3. Let a(g) be the third derivative of 0*g + 0*g**3 + 1/30*g**5 + 0 + n*g**2 - 1/12*g**4. Solve a(w) = 0.
0, 1
Let n = -1939/2 - -952. Let h = n + 18. Determine c so that 0 + 1/2*c**2 + h*c = 0.
-1, 0
Let f(v) be the first derivative of -2*v**3/33 + 2*v**2/11 + 9. Determine a, given that f(a) = 0.
0, 2
Suppose 0*s + 6 = s. Suppose -2*y**2 + 0*y + s*y - 8*y + 4 = 0. Calculate y.
-2, 1
Let k(r) be the first derivative of -4*r**5/5 - r**4 + 12*r**3 - 22*r**2 + 16*r + 10. Factor k(u).
-4*(u - 1)**3*(u + 4)
Let y = -35/4 - -527/60. Let s(v) be the first derivative of 1/4*v**4 + y*v**6 + 0*v**2 + 4/25*v**5 - 2 + 0*v + 2/15*v**3. Factor s(x).
x**2*(x + 1)**2*(x + 2)/5
Suppose -5*x + 6 = -2*l, -3*x + 5 = -2*l - 1. Let a(n) be the first derivative of -2/21*n**3 - 2 + 2/7*n + x*n**2. Factor a(m).
-2*(m - 1)*(m + 1)/7
Let m be 112/294*(-3)/(-2). Let -4/7*z**3 - 2/7*z**4 + 2/7*z**2 + m*z + 0 = 0. What is z?
-2, -1, 0, 1
Let x(n) be the second derivative of 0 + 1/7*n**2 + 3*n + 2/21*n**3 + 1/42*n**4. Factor x(g).
2*(g + 1)**2/7
Let i(h) = -h**2 - h + 11. Let s be i(0). Determine d so that -s*d + 7*d + 4*d**3 + d**2 + d**2 - 2 = 0.
-1, -1/2, 1
Let x(w) be the second derivative