o(z). Solve x(r) = 0.
-3, 1
Let y(q) be the first derivative of -q**8/672 + q**7/140 - q**6/80 + q**5/120 + q**2 + 5. Let m(d) be the second derivative of y(d). What is k in m(k) = 0?
0, 1
Let z(v) be the third derivative of 1/20*v**5 - v**3 + 1/8*v**4 + 3*v**2 + 0 + 0*v. Factor z(o).
3*(o - 1)*(o + 2)
Let t = 6 + -13. Let h = t - -9. Solve -1/4*m - 1/4*m**h + 1/2 = 0.
-2, 1
Let g be 5/((-20)/8) + 4. Let k(t) = -2*t - 1. Let l be k(-2). Factor -n + g*n**3 - n**l + 0*n.
n*(n - 1)*(n + 1)
Let n(t) be the second derivative of t**4/9 + 10*t**3/9 + 4*t**2 + 47*t. Determine v, given that n(v) = 0.
-3, -2
Let h(z) be the first derivative of z**5/5 - z**4/2 + z**3/3 - 1. Determine j so that h(j) = 0.
0, 1
Let s(m) = -m**3 + m**2 + m. Let b(r) = 14*r**4 + 49*r**3 + 37*r**2 + 5*r. Let p(v) = -b(v) - 3*s(v). Factor p(d).
-2*d*(d + 1)*(d + 2)*(7*d + 2)
Let l = 112/159 + -2/53. Factor 4/3 - 10/3*p**4 + 26/3*p**3 - 6*p**2 - l*p.
-2*(p - 1)**3*(5*p + 2)/3
Let h(o) be the third derivative of -o**6/300 + o**5/50 + o**4/15 - 19*o**2. Solve h(x) = 0.
-1, 0, 4
Let y(u) be the second derivative of -1/4*u**4 + 0*u**2 + 1/6*u**3 + u + 0 - 1/5*u**5. Factor y(h).
-h*(h + 1)*(4*h - 1)
Let v(p) be the first derivative of p**4/12 - 22*p**3/9 + 121*p**2/6 - 42. Factor v(x).
x*(x - 11)**2/3
Let s be 29/6 + 5/30. Factor -w**2 - 1/2*w**s + w**3 - 1/2*w + 1/2 + 1/2*w**4.
-(w - 1)**3*(w + 1)**2/2
Let m(h) be the first derivative of 3*h**4/20 - 3*h**2/10 + 8. Factor m(r).
3*r*(r - 1)*(r + 1)/5
Suppose -5*s = -0*s - 10. What is w in 2*w**4 + 4*w**4 + 3 - 8*w**s - 2 - 4*w + 1 + 4*w**3 = 0?
-1, 1/3, 1
Let s be (-2 - 27/(-3))/1. Let u = s - 4. Factor 5 - 2 - 2*q - q**3 - q**2 - 2 + u*q.
-(q - 1)*(q + 1)**2
What is l in -8/19 + 8/19*l**2 + 2/19*l**3 - 2/19*l = 0?
-4, -1, 1
Let a(p) be the second derivative of 0 + 0*p**2 + 1/60*p**5 - 6*p + 0*p**4 + 0*p**6 - 1/126*p**7 + 0*p**3. Suppose a(r) = 0. What is r?
-1, 0, 1
Let l(y) be the third derivative of 0*y**5 + 4*y**2 - 1/1512*y**8 + 0 + 0*y + 0*y**4 - 1/540*y**6 + 0*y**3 - 2/945*y**7. Factor l(s).
-2*s**3*(s + 1)**2/9
Let j(k) be the first derivative of -5*k**4/16 + 10*k**3/3 - 85*k**2/8 + 25*k/2 - 23. What is n in j(n) = 0?
1, 2, 5
Let h(z) = -z**2 - 11*z + 2. Let t be h(-11). Let j(b) = -b**3 - 9*b**2 + 3. Let r be j(-9). Factor -1/4*p**r - 3*p - t - 3/2*p**2.
-(p + 2)**3/4
Suppose d = -11 + 17. Factor 11*v**2 - 3*v**3 - 8*v**2 + d*v**3.
3*v**2*(v + 1)
Let p(d) = d**2. Let a(w) = 15*w**2 + 5. Let z(v) = -a(v) + 20*p(v). Factor z(s).
5*(s - 1)*(s + 1)
Let i(b) be the first derivative of -b**3/12 - 9*b**2/8 - 7. Determine f, given that i(f) = 0.
-9, 0
Let z = 616 + -613. Suppose -2/5*d + 0 - 4/5*d**2 + 4/5*d**4 + 0*d**z + 2/5*d**5 = 0. What is d?
-1, 0, 1
Factor 0 + 0*d + 1/2*d**2 + 1/2*d**4 - d**3.
d**2*(d - 1)**2/2
Let p = -2 + 2. Let o be p - -2*1/4. Factor 3/2*u**3 - o*u**4 + 0 + 1/2*u - 3/2*u**2.
-u*(u - 1)**3/2
Let r(i) be the second derivative of -i**6/10 + 3*i**5/5 - 5*i**4/4 + i**3 - 9*i. Factor r(o).
-3*o*(o - 2)*(o - 1)**2
Let h(d) be the third derivative of -d**5/12 - 5*d**4/4 - 15*d**3/2 + 10*d**2. Find t such that h(t) = 0.
-3
Let s(p) be the second derivative of p**4/36 - p**3/18 - p**2 - 20*p. Suppose s(c) = 0. Calculate c.
-2, 3
Let d(i) be the third derivative of -i**6/300 - i**5/50 + 3*i**4/20 - i**3/3 - 24*i**2. Factor d(u).
-2*(u - 1)**2*(u + 5)/5
Let s(v) = v**5 + 9*v**4 - 4*v**3 + 6. Let g(r) = r**5 - r**4 + r**3 + 1. Let w(q) = -6*g(q) + s(q). Factor w(z).
-5*z**3*(z - 2)*(z - 1)
Let t(y) be the third derivative of y**7/525 + y**6/100 + y**5/50 + y**4/60 + 7*y**2. Factor t(b).
2*b*(b + 1)**3/5
Let r(z) be the second derivative of z**7/12600 - z**6/3600 + z**4/3 - 2*z. Let b(x) be the third derivative of r(x). Determine q, given that b(q) = 0.
0, 1
Let g(k) be the third derivative of -1/25*k**5 + 1/15*k**4 + 0*k + 0 + 1/75*k**6 - 1/15*k**3 - 2*k**2 - 1/525*k**7. Factor g(m).
-2*(m - 1)**4/5
Factor 1/3*r + 0 + 1/3*r**3 + 2/3*r**2.
r*(r + 1)**2/3
Suppose 34 - 12 - 28*q + 4*q**2 - 22 = 0. What is q?
0, 7
Let r(i) be the first derivative of -i**6/180 - i**5/60 - i**4/72 - 8*i - 2. Let v(s) be the first derivative of r(s). What is y in v(y) = 0?
-1, 0
Suppose 3*p - p = 3*q + 19, -4*q = 5*p + 10. Suppose -2*a - 4*j - 5 + 23 = 0, -4*a + 18 = 2*j. Find g, given that -p*g**a + 2*g**5 - g**2 - 3*g**2 + 4*g**2 = 0.
-1, 0, 1
Let w(i) be the second derivative of -3/100*i**5 + 0*i**2 - 6*i + 1/20*i**4 + 0 + 1/5*i**3. Suppose w(v) = 0. What is v?
-1, 0, 2
Let a(b) = 3*b - 16. Let o be a(7). Find u, given that u - 3 + 6*u + o*u**2 + 5 = 0.
-1, -2/5
Let b(w) = 11*w**4 + 19*w**3 + 15*w**2 + 5*w - 2. Let f(c) = 21*c**4 + 37*c**3 + 29*c**2 + 9*c - 4. Let u(x) = -11*b(x) + 6*f(x). What is p in u(p) = 0?
-1, 2/5
Let j(r) be the second derivative of r**4/6 + r**3 - 4*r**2 - 30*r. Factor j(t).
2*(t - 1)*(t + 4)
Let 1/4 - 1/4*o - 1/4*o**2 + 1/4*o**3 = 0. What is o?
-1, 1
Let o(t) be the second derivative of 3/4*t**5 - 3/2*t**4 + 0*t**2 + 1/2*t**3 + 4*t + 0. Factor o(l).
3*l*(l - 1)*(5*l - 1)
Let d(y) = 5*y**2 + 2*y - 3. Let c = -2 - 2. Let s(r) = -1 + r - 11*r**2 + 8 - 6*r. Let f(n) = c*s(n) - 9*d(n). Solve f(k) = 0.
1
Let w(q) be the third derivative of 1/80*q**5 + q**2 + 0*q**4 + 0*q - 1/168*q**7 - 1/240*q**6 + 1/336*q**8 + 0 + 0*q**3. Factor w(x).
x**2*(x - 1)**2*(4*x + 3)/4
Let t be ((-12)/10)/3*-30. Determine x, given that 13*x - 23*x**2 - 5*x + t*x - 4 + 7*x**3 = 0.
2/7, 1, 2
Let k(o) be the second derivative of -5/4*o**4 - 8*o + 0 - 4*o**3 + 6*o**2. Find z such that k(z) = 0.
-2, 2/5
Let i be ((-2)/(-6))/((-7)/(-84)). Suppose -i = -4*k + 12. Find u such that 0 - 10/3*u**k + 2/3*u + 2*u**3 - 8/3*u**5 + 10/3*u**2 = 0.
-1, -1/4, 0, 1
Let g = 31 + -31. Let t(j) be the second derivative of g*j**3 + 1/6*j**4 - 4/3*j**2 + j + 0 - 1/30*j**5. Factor t(i).
-2*(i - 2)**2*(i + 1)/3
Let d(y) be the first derivative of -2*y**5/45 + 4*y**3/27 - 2*y/9 + 28. Factor d(j).
-2*(j - 1)**2*(j + 1)**2/9
Suppose -4*j = 3*a - 2*j + 23, 12 = -2*a + 2*j. Let l be 5/(-2)*a/5. Find b, given that -10*b + b**3 + 2 - l*b**4 + 21/2*b**2 = 0.
-2, 2/7, 1
Factor 87/8*v**2 - 3/4*v + 0 - 99/2*v**3 + 135/2*v**4.
3*v*(5*v - 2)*(6*v - 1)**2/8
Let d = 8 + -3. Suppose -5 = -5*x, -4*x + 16 = -f + d*f. Suppose 4*c**2 - 2 + 0*c + f - 4*c = 0. What is c?
1/2
Let l be (-3 + 12/8)*-2. Find v such that 3/2*v**2 + 5/2*v + 1 - 1/2*v**4 - 1/2*v**l = 0.
-1, 2
Let v(h) be the first derivative of -h**3/3 + h**2/2 - 42. Determine u so that v(u) = 0.
0, 1
Let r(b) be the first derivative of -2*b**3/39 + b**2/13 + 12*b/13 - 27. Determine p so that r(p) = 0.
-2, 3
Factor 12/5 + 2/5*n**2 + 2*n.
2*(n + 2)*(n + 3)/5
Let d(w) be the third derivative of -w**6/180 - w**5/40 + w**4/12 + 5*w**3/6 - 4*w**2. Let t(z) be the first derivative of d(z). What is f in t(f) = 0?
-2, 1/2
Let v(q) be the first derivative of 4*q**5/5 - 6*q**4 + 52*q**3/3 - 24*q**2 + 16*q - 1. Factor v(z).
4*(z - 2)**2*(z - 1)**2
Let z(t) be the first derivative of -3*t**4/7 + 16*t**3/21 + 10*t**2/7 - 8*t/7 + 32. Factor z(s).
-4*(s - 2)*(s + 1)*(3*s - 1)/7
Suppose 0*u = 4*u - 12. Suppose u - 1 + 4*b + 0 + 2*b**2 = 0. Calculate b.
-1
Let d(n) be the second derivative of -n**6/210 + n**5/28 + n**4/14 + 18*n. Factor d(a).
-a**2*(a - 6)*(a + 1)/7
Let t(k) = 10*k**4 + 6*k**3 + 10*k**2 - 6*k - 12. Let a(g) = -g**4 - g**2 + 1. Let r(w) = -8*a(w) - t(w). Suppose r(f) = 0. Calculate f.
-2, -1, 1
Factor 0*r**2 + 2*r**3 - 3*r**3 - 12*r - 3*r**2 - 3*r**2 - 8.
-(r + 2)**3
Factor -7/5*a - 1/5*a**3 + 3/5 + a**2.
-(a - 3)*(a - 1)**2/5
Let n(b) = b. Let z = 3 + 0. Let k be n(z). Solve 5*d**4 - k*d**4 - 2*d**5 + 2*d + 2*d**4 - 4*d**2 = 0 for d.
-1, 0, 1
Let m = 10 - 7. Let b(x) be the first derivative of -1 + 1/8*x**2 + 0*x - 1/12*x**m. Suppose b(i) = 0. Calculate i.
0, 1
Suppose 0 = -11*p + 7*p. Factor 2/5*j + p - 1/5*j**2.
-j*(j - 2)/5
Let g(l) be the second derivative of -l**6/40 + l**5/20 + l**4/8 - l**3/2 + l**2 - 5*l. Let s(f) be the first derivative of g(f). Find o, given that s(o) = 0.
-1, 1
Let l be ((-5)/10)/((-2)/12). Determine j, given that -l*j**3 - 4*j**2 + 3*j + 2*j**4 + j**4 + j**2 = 0.
-1, 0, 1
Suppose 3*r + 19 = y, 5*y - 12 = r + 13. What is x in 0*x**2 + 0 - 1/5*x**y - 3/5*x**3 + 4/5*x = 0?
-2, 0, 1
What is s in 6/13 +