vative of d(m). Factor q(a).
(a - 2)*(a + 1)/4
Let j(z) be the second derivative of -z**7/84 + z**6/60 + z**5/40 - z**4/24 + 4*z. Solve j(s) = 0.
-1, 0, 1
Let k(d) be the third derivative of -d**7/280 + d**6/80 - d**4/16 + d**3/8 + 3*d**2. Factor k(r).
-3*(r - 1)**3*(r + 1)/4
Factor 37*m + 449*m**2 - 446*m**2 - 13*m.
3*m*(m + 8)
Let d(j) be the third derivative of j**6/40 + 3*j**5/5 + 6*j**4 + 32*j**3 - 3*j**2. Solve d(r) = 0 for r.
-4
Suppose -11 = -3*l + 2*j - 3*j, -2*l = 4*j - 24. Let b(n) be the first derivative of 1 + 0*n - 1/8*n**l - 1/12*n**3. Solve b(i) = 0 for i.
-1, 0
Factor -3*i**2 - 5/3*i**3 - 2/3 - 7/3*i - 1/3*i**4.
-(i + 1)**3*(i + 2)/3
Suppose -q - q = -8. Let d(s) be the third derivative of -1/48*s**q + 1/120*s**5 + 0*s**3 + s**2 + 0*s + 0. Let d(k) = 0. What is k?
0, 1
Let j be 26/(-10) + (-4)/10. Let b(q) = 2. Let t(n) = 4*n**3 - n**4 + 5 - 2 - 5*n**3. Let u(v) = j*b(v) + 2*t(v). Find d such that u(d) = 0.
-1, 0
Let y be 8/2 - 0/(-36). Determine r, given that 0 + 10/3*r**2 + 4/3*r + 8/3*r**3 + 2/3*r**y = 0.
-2, -1, 0
Let n(z) be the first derivative of -7*z**5/6 + 27*z**4/8 - z**3/9 - 3*z**2 - 4*z/3 - 12. Find l, given that n(l) = 0.
-2/5, -2/7, 1, 2
Factor 20 + 3*c**2 - 5 - 3*c - 11*c - 4*c.
3*(c - 5)*(c - 1)
Let m(b) be the second derivative of -11/42*b**4 - 3*b + 0*b**2 - 17/105*b**6 + 2/21*b**3 + 3/10*b**5 + 0 + 5/147*b**7. Suppose m(f) = 0. Calculate f.
0, 2/5, 1
Let s(p) = p + 4. Let c be 6*(-1)/6*-8. Let g be s(c). Let g*i**5 + 0*i + 3*i - 6*i**3 - 9*i**5 = 0. Calculate i.
-1, 0, 1
Let h = -35 - -38. Suppose -g + 0*g**2 + 1/2*g**4 + g**h - 1/2 = 0. What is g?
-1, 1
Suppose -3*o + 3 = -6. Suppose o*a - 1 = 5. Factor -p**5 - 30*p**4 - 21*p**2 + 2 + 40*p**3 + 9*p**5 + p**a.
2*(p - 1)**4*(4*p + 1)
Let n(j) be the third derivative of -j**5/60 + j**4/6 - 2*j**3/3 + j**2. Factor n(t).
-(t - 2)**2
Let y(q) = 5*q**2 - q - 1. Let s be y(-1). Let r be 2*s/(10/4). Determine b, given that 6*b**5 + r*b**4 - 4*b**5 + 0*b**5 - b**3 + 3*b**3 = 0.
-1, 0
Suppose -3*i + 12 + 0 = 0. Let w = 7 - i. Suppose -3/2 - 3*z**3 + 0*z**2 + w*z + 3/2*z**4 = 0. What is z?
-1, 1
Let q(k) be the first derivative of 0*k**3 + k**2 + 1/5*k**5 - 1/2*k**4 + 3 - k. Factor q(s).
(s - 1)**3*(s + 1)
Solve 0 - 4/7*a + 2/7*a**3 + 2/7*a**2 = 0.
-2, 0, 1
Let m(d) = -d**3 + 10*d**2 + 10*d + 10. Let g be m(11). Let r be g/2*6*-1. Solve t + 1/3 + t**2 + 1/3*t**r = 0 for t.
-1
Let h be (-3)/(-6)*16/2. Let y be (-2)/(-3) - h/18. Find i such that -2/3*i + 2/9*i**2 + y = 0.
1, 2
Suppose -4*m - 3*t + 28 = 0, -7*m + 24 = -2*m + t. Suppose -m*v = l - 14, -3*v + v + 2 = -2*l. Factor 4*n**3 + 3*n**3 - 4*n**3 + l*n - 8*n**2 + 5*n**3.
2*n*(2*n - 1)**2
Let s be -20*4/(-8)*1. Let w be -1 + (-1 - (-36)/s). Factor -6/5*o**3 + 4/5 + 2/5*o - w*o**2.
-2*(o + 1)**2*(3*o - 2)/5
Let o = 16 - 14. Solve 0 - 1/4*k**3 + 1/4*k**o + 0*k = 0.
0, 1
Factor -2 - 3*v**2 - 4*v + 3*v + 0*v**4 + v**3 - 4*v + v**4.
(v - 2)*(v + 1)**3
Let b(k) be the third derivative of -2*k**7/15 - 3*k**6/10 + k**5/3 + 3*k**4/2 + 4*k**3/3 + 5*k**2. Find f, given that b(f) = 0.
-1, -2/7, 1
Let p(u) be the second derivative of -u**5/5 - 4*u**4/3 - 10*u**3/3 - 4*u**2 - 2*u. Find v such that p(v) = 0.
-2, -1
Let r(t) be the third derivative of t**6/280 + t**5/140 - t**4/28 - 19*t**2. Factor r(z).
3*z*(z - 1)*(z + 2)/7
Let w = 290389/142 - 2045. Let b = 275/1278 - w. Suppose 2/9*y + 0 + b*y**2 = 0. What is y?
-1, 0
Let m(s) = 3*s**2 + s - 2. Let l be m(1). Factor y + 3 + 0*y**3 + 2*y + 4*y**2 - 7*y**l - 3*y**3.
-3*(y - 1)*(y + 1)**2
Let c be -4 + (6 - (7 + -7)). Factor c*a - 1/2*a**2 - 3/2.
-(a - 3)*(a - 1)/2
Let t = 31 - 29. Factor 0*c**t + 0*c + 0 + 3/5*c**3.
3*c**3/5
Let w(k) = 3*k**3 - k**2 + 2. Let u(p) = -16*p**3 + 0*p**3 - 5 + 5*p**2 - 8 + 2. Let v(z) = 2*u(z) + 11*w(z). Let v(j) = 0. What is j?
0, 1
Let j(b) = 2*b + 1. Let f be j(1). Suppose 13 - 4 = f*x. Factor 0*o + 0 - 2/5*o**5 + 0*o**4 + 0*o**2 + 2/5*o**x.
-2*o**3*(o - 1)*(o + 1)/5
Let y(d) be the third derivative of -3*d**5/16 + 11*d**4/32 - d**3/4 - 4*d**2. Find h, given that y(h) = 0.
1/3, 2/5
Suppose -4*k = -i - 6, -2*i + 2*k = -i + 2. Let t be -1 + 0 + (-12)/(-9). Find c, given that 0*c**i + 1/3*c**4 + 0*c + 0 - t*c**3 = 0.
0, 1
Factor 6*h + 8*h - 15*h**3 + 3*h + 5*h**4 + 3*h.
5*h*(h - 2)**2*(h + 1)
Let g be 58/18 - 6/27. Let u(o) be the second derivative of -7/30*o**4 - 3/5*o**3 - g*o - 2/5*o**2 + 0. Solve u(z) = 0.
-1, -2/7
Let b = -8/7 + 23/14. What is t in 2*t**3 + b*t**4 + 2*t + 1/2 + 3*t**2 = 0?
-1
Suppose -j - 2*j - 21 = -5*m, j - 4 = -2*m. Suppose 4*t + 0*t - 10 = 2*r, -m*r = -t. Factor -4*b**2 + 3*b**4 + 3*b - t*b**3 + 4*b**2 - 2*b**2 - b**2.
3*b*(b - 1)**2*(b + 1)
Let r(z) = 2 - 11*z**2 - 20 + 11 - 2*z**3 - 6*z. Let w = 5 - 1. Let i(c) = -2*c**3 - 10*c**2 - 6*c - 6. Let m(t) = w*r(t) - 5*i(t). Solve m(n) = 0 for n.
-1
Let i(l) = l**3 + 3*l**2 - 4*l - 4. Suppose -3*d + 6*d = -9. Let f be i(d). Determine w, given that 6*w**2 + 2*w**3 + 4 + 1/4*w**4 + f*w = 0.
-2
Suppose 0*n**2 - 32*n**3 + 12*n**3 - 12*n**4 - 5*n**2 - 3*n**2 = 0. What is n?
-1, -2/3, 0
Let r(a) be the third derivative of -a**9/15120 - a**8/2520 + a**7/1260 + a**6/90 - a**5/15 + 9*a**2. Let i(h) be the third derivative of r(h). Factor i(c).
-4*(c - 1)*(c + 1)*(c + 2)
Let i(r) = -14*r**3 - 10*r**2 + 2*r - 2. Let j(g) = -g**4 + 57*g**3 + 40*g**2 - 9*g + 9. Let f(k) = 18*i(k) + 4*j(k). Determine h, given that f(h) = 0.
-5, -1, 0
Let l(w) be the second derivative of -9*w**5/5 + 5*w**4/3 + 8*w**3/3 - 2*w. Let i(j) = 7*j**3 - 4*j**2 - 3*j. Let a(x) = 16*i(x) + 3*l(x). Factor a(r).
4*r**2*(r - 1)
Factor 0*n**3 + 0*n + 0 + 1/11*n**4 - 4/11*n**2.
n**2*(n - 2)*(n + 2)/11
Let s(p) = -7*p + 9. Let n(h) = 4*h - 4. Let x(l) = 5*n(l) + 3*s(l). Let b be x(5). Factor 0 - 1/4*r**3 + 1/2*r**b - 1/4*r.
-r*(r - 1)**2/4
Let j(k) be the second derivative of k**5/70 + k**4/14 + k**3/7 + k**2/7 + 8*k. Factor j(s).
2*(s + 1)**3/7
Factor 5*d + d**2 + 11 + 11 - 28 + 10.
(d + 1)*(d + 4)
Factor -16*x - 46*x**3 - 4*x**5 - 3*x**2 - 6*x**2 - 39*x**2 - 24*x**4 - 6*x**3.
-4*x*(x + 1)**2*(x + 2)**2
Let i(u) be the first derivative of 3*u**5/25 + u**4/10 - u**3/15 - 13. Find f, given that i(f) = 0.
-1, 0, 1/3
Let f(d) = d**3 + 3*d**2 - 3*d + 38. Let p be f(-5). Factor 1/2*c**p + 1/6*c**2 - 1/3 + 1/6*c**4 - 1/2*c.
(c - 1)*(c + 1)**2*(c + 2)/6
Let s(v) = v**2 + v - 4. Suppose 0 = 3*m + l - 9, m - 5*l - 9 = -2*m. Let g(u) = u - 1. Let n(j) = m*s(j) - 6*g(j). Let n(y) = 0. Calculate y.
-1, 2
Let a be 2/5*(0 - 25/(-15)). Determine c, given that 2/3*c**3 - 2/3*c**2 + a - 2/3*c = 0.
-1, 1
Let q be 2 + -4 + 6 + (-22)/8. Solve 1/2 - 1/4*z**3 - 1/4*z**4 + q*z + 3/4*z**2 = 0 for z.
-1, 2
Let p = -59/4 - -65/4. Determine z, given that -1/2*z**2 + 0 - p*z = 0.
-3, 0
Suppose 9 = -0*z + 3*z. Suppose 3 = z*n - 3*t, 2*n + 19 = 6*n + t. Factor -p**3 + 2 - 2*p - p**3 - 2*p**2 + n*p**3.
2*(p - 1)**2*(p + 1)
Let s(y) be the first derivative of y**3/3 - y**2 + y - 3. Solve s(c) = 0 for c.
1
Let q be 42/(-8) - (13 - 19). Factor 1/2*o**2 - o**3 + 0*o**4 + q*o + 1/4*o**5 - 1/2.
(o - 1)**3*(o + 1)*(o + 2)/4
Suppose -6*r**3 + 2*r**4 + 9*r**3 + 4*r + 5*r**3 + 10*r**2 = 0. What is r?
-2, -1, 0
Let n(j) be the third derivative of 1/60*j**5 - 1/210*j**7 - 3*j**2 - 1/24*j**4 + 0*j + 1/120*j**6 + 0*j**3 + 0. Factor n(z).
-z*(z - 1)**2*(z + 1)
Factor 3*c**5 + 3*c**4 + 560*c - 3*c**2 - 560*c - 3*c**3.
3*c**2*(c - 1)*(c + 1)**2
Let k be 1/2 - (3 + 245/(-90)). Let q(s) be the second derivative of -3*s - k*s**4 + 0 + 5/9*s**3 - 1/3*s**2. Factor q(p).
-2*(p - 1)*(4*p - 1)/3
Let d(n) be the second derivative of -3*n**5/20 + n**4/2 + 4*n. Factor d(v).
-3*v**2*(v - 2)
Let k(n) be the third derivative of n**6/24 - n**5/12 - 5*n**4/12 - 5*n**2. Factor k(j).
5*j*(j - 2)*(j + 1)
Let n(d) be the third derivative of -d**8/168 + 2*d**7/63 + d**6/20 - 2*d**5/45 + 64*d**2. Determine c, given that n(c) = 0.
-1, 0, 1/3, 4
Let g(w) = -2*w - 8. Let r be g(8). Let z = 24 + r. Factor z*n**2 + 0*n + 0 - 2/7*n**3.
-2*n**3/7
Let g(h) = h**3 + 18*h**2 + 2. Let t be g(-18). Determine n, given that -1/2*n + 0*n**t + 1/2*n**3 + 0 = 0.
-1, 0, 1
Let g(q) be the second derivative of 2*q**6/15 - 2*q**5/5 - 11*q**4/3 + 8*q**3 + 72*q**2 - 21*q. Factor g(n).
4*(n - 3)**2*(n + 2)**2
Let a