2*(z + 1)*(2*z - 1)/9
Let j(d) be the third derivative of -d**7/840 + d**6/240 + d**4/12 - 3*d**2. Let x(p) be the second derivative of j(p). Solve x(r) = 0.
0, 1
Let u be (6/4)/(3 - -3). Let a = -26 - -29. Factor 1/4 + u*v**a - 1/4*v - 1/4*v**2.
(v - 1)**2*(v + 1)/4
Suppose 6*b - 31 = b + 4*x, 3*x = 3*b - 21. Suppose 5 = -y + 3*m - 7, b*y = 3*m - 6. Factor -16/3*o + 8/3 + 10/3*o**2 - 2/3*o**y.
-2*(o - 2)**2*(o - 1)/3
Suppose 5 = 5*f, 3*i - 3*f + 49 = -8*f. Let k = i + 18. Factor -5/3*a**3 + k - 2/3*a - 7/3*a**2.
-a*(a + 1)*(5*a + 2)/3
Let c(x) be the first derivative of -5/2*x**2 + 4*x - 3 + 4/3*x**3. Let g(i) = i**2 - i + 1. Let a(d) = c(d) - 3*g(d). What is f in a(f) = 0?
1
Let d(b) = 8*b - 5. Let v be d(1). Let -14/5*j**v + 4/5 - 4/5*j**2 + 14/5*j = 0. Calculate j.
-1, -2/7, 1
Let u(c) = 2*c - 16. Let r be u(9). Factor 1/2*d**r + 1/2*d**3 - 1/2*d - 1/2.
(d - 1)*(d + 1)**2/2
Let b be 1*3 + (-3497)/1170. Let n(w) be the third derivative of -1/9*w**3 - b*w**5 + 1/18*w**4 + 0*w - 3*w**2 + 0. Factor n(o).
-2*(o - 1)**2/3
Let k(t) be the first derivative of -5*t**6/6 - 3*t**5 + 5*t**4/4 + 35*t**3/3 - 20*t - 28. Let k(f) = 0. What is f?
-2, -1, 1
Let g(z) = -z - 4. Let d be g(-6). Factor d - 2 + 0 - 2*i**2.
-2*i**2
Let x(i) be the second derivative of -2*i**7/21 + 2*i**5/5 - 2*i**3/3 - 13*i. Factor x(n).
-4*n*(n - 1)**2*(n + 1)**2
Let g(b) be the third derivative of b**11/665280 - b**9/120960 + b**5/60 + 3*b**2. Let f(r) be the third derivative of g(r). Factor f(k).
k**3*(k - 1)*(k + 1)/2
Let a(v) be the first derivative of v**7/140 + v**6/240 - v**5/24 - v**4/48 + v**3/6 - 3*v**2/2 - 3. Let o(f) be the second derivative of a(f). Factor o(s).
(s - 1)*(s + 1)**2*(3*s - 2)/2
Let u be (0/1)/(5 - 6). Let w(m) be the first derivative of -m**2 + u*m - 3 - 4/3*m**3 - 1/2*m**4. Factor w(y).
-2*y*(y + 1)**2
Let m(k) be the second derivative of -1/6*k**4 + 0*k**2 + 0*k**3 + 1/10*k**5 - 4*k + 0. Factor m(n).
2*n**2*(n - 1)
Suppose 1 = f - 1. Let 2*d**f - d**4 + 5*d**3 - 1 - 5*d**3 = 0. Calculate d.
-1, 1
Let h(s) = -s**2 + s - 1. Let o be h(2). Let k(q) = q + 5. Let r be k(o). Find b such that 0*b + r*b + 0*b**2 + 1 + b**2 = 0.
-1
Suppose 0 = t + 3*t - 16. Factor d**2 - d**t - d**2 + 2*d**4 + 2*d**3 + d**2.
d**2*(d + 1)**2
Let n(d) be the second derivative of d**5/150 + 2*d**4/15 + 16*d**3/15 + 64*d**2/15 + d. Factor n(a).
2*(a + 4)**3/15
Let h(d) be the third derivative of d**5/15 + 17*d**4/12 - 3*d**3 + 51*d**2. Find i, given that h(i) = 0.
-9, 1/2
Let s = 15 + 7. Let y be 2/(-3) - s/(-24). Solve 3/4*k**3 + 3/4*k**4 + 0*k + 1/4*k**2 + 0 + y*k**5 = 0.
-1, 0
Let x(z) be the first derivative of 3*z**4/4 - 2*z**3/5 + 12. Factor x(h).
3*h**2*(5*h - 2)/5
Let b(y) be the third derivative of -y**5/330 - 5*y**4/132 - 4*y**3/33 + 12*y**2. Solve b(m) = 0.
-4, -1
Factor 36*l + 5*l**2 - 107*l - l**2 + 31*l.
4*l*(l - 10)
Let g = -153 + 2296/15. Let y(h) be the first derivative of 0*h + 0*h**3 + 0*h**2 + g*h**5 - 2 - 1/18*h**6 + 0*h**4. Factor y(f).
-f**4*(f - 1)/3
Let d = 1681/12 - 140. Let a(u) be the second derivative of -u + 0 + 3/8*u**4 + 0*u**2 + d*u**6 - 1/6*u**3 - 3/10*u**5. Factor a(y).
y*(y - 1)**2*(5*y - 2)/2
Let k(u) = -u**3 + 1. Let n(f) = 5*f**3 - f**2 + f - 5. Let m(x) = 6*k(x) + n(x). Factor m(h).
-(h - 1)*(h + 1)**2
Let p(i) be the second derivative of -2/15*i**3 - 21/100*i**5 + 0*i**2 + 0 - 1/3*i**4 - 3*i. Let p(r) = 0. Calculate r.
-2/3, -2/7, 0
Factor -4*h**2 - 5*h - 51 + 33 + 43*h.
-2*(h - 9)*(2*h - 1)
Let l**2 - 4*l**2 + 4*l + 5*l**2 + 0*l**2 = 0. Calculate l.
-2, 0
Let y(n) be the second derivative of n**7/168 - n**6/120 - 8*n. Factor y(a).
a**4*(a - 1)/4
Let -9/7*v**2 - 3/7*v**3 + 0 - 6/7*v = 0. What is v?
-2, -1, 0
Factor 0*p + 2/7*p**2 + 0 + 8/7*p**4 - 10/7*p**3.
2*p**2*(p - 1)*(4*p - 1)/7
Let u(w) = -w**2 - 10*w - 9. Let a be u(-9). Let t(m) be the third derivative of 0 + 3*m**2 + 1/120*m**5 - 1/12*m**4 + a*m + 1/3*m**3. Factor t(l).
(l - 2)**2/2
Let u = -1 + 7. Let c be ((-1)/u)/((-2)/4). Factor 1/3*n**2 + c*n - 1/3*n**3 + 0 - 1/3*n**4.
-n*(n - 1)*(n + 1)**2/3
Solve 14 - 10 - v**4 + 5*v**4 - 8*v**2 = 0 for v.
-1, 1
Let s(b) be the third derivative of 0 - 1/20*b**5 + 0*b - 1/2*b**3 + 1/4*b**4 + 3*b**2. Suppose s(g) = 0. Calculate g.
1
Let l(p) = -p - 1. Let g(u) = -3*u**2 + 4*u + 2. Let f(b) = -g(b) - 3*l(b). Let n be f(1). Factor -r**2 + 0*r - n*r - 7 + 5.
-(r + 1)*(r + 2)
Let k be (-3)/(-2)*52/(-63). Let p = 2/21 - k. Factor 8/3*t + 5/3*t**2 + p + 1/3*t**3.
(t + 1)*(t + 2)**2/3
Suppose -59 + 89 = 10*d. Let q(h) be the first derivative of h**2 + 1/3*h**d + h - 2. Factor q(m).
(m + 1)**2
Let d be 2/4*16/3. Let h be -4*(-5)/((-15)/(-4)). Find b, given that -h*b - 2/3*b**3 - 10/3*b**2 - d = 0.
-2, -1
Let k(m) = -8*m**2 - 4*m + 4. Let g = 11 - 7. Let u(t) = -t**3 - 17*t**2 - 8*t + 8. Let b(v) = g*u(v) - 9*k(v). Find x such that b(x) = 0.
-1, 1
Solve -8/9*g - 2/9*g**2 - 2/3 = 0.
-3, -1
Suppose 42 = 2*w + 32. Let o(z) be the third derivative of 0*z - 1/12*z**4 + z**2 + 0 - 1/30*z**w + 0*z**3. Factor o(f).
-2*f*(f + 1)
Let f(g) be the third derivative of g**6/12 + 9*g**5/10 + 5*g**4/6 - 19*g**2. Factor f(d).
2*d*(d + 5)*(5*d + 2)
Suppose -20 = -4*o - 0. Let r(x) be the first derivative of -1/6*x**4 + 1/3*x + 1/3*x**2 - 1/15*x**o + 0*x**3 + 3. Solve r(p) = 0 for p.
-1, 1
Factor 0 + 1/5*a**2 - 1/5*a**3 + 2/5*a.
-a*(a - 2)*(a + 1)/5
Let r(u) be the second derivative of u**5/120 + u**4/16 + u**3/6 + 3*u**2 - 8*u. Let l(n) be the first derivative of r(n). Solve l(z) = 0 for z.
-2, -1
Let g(n) = 2*n**2 + 3*n. Let f be g(-3). Find u such that -f*u - 4*u - 3*u**2 + 7*u = 0.
-2, 0
Let c = 1127/5 + -225. Let c*k**2 + 2/5*k - 4/5 = 0. What is k?
-2, 1
Let b = 7 + -3. Factor 2/3*v**2 - 2/3*v**b + 2/3*v**5 - 2/3*v**3 + 0*v + 0.
2*v**2*(v - 1)**2*(v + 1)/3
Let h = -9 + 9. Suppose h = 2*m + 5*d - 30, -2*m = -4*d - d + 10. Let -1 - 3/4*o**4 - 1/4*o**m + 1/4*o**3 + 7/4*o**2 + 0*o = 0. Calculate o.
-2, -1, 1
Let k(j) be the first derivative of -j**7/9 + 16*j**6/45 - 11*j**5/30 + j**4/9 - j - 8. Let c(o) be the first derivative of k(o). Factor c(p).
-2*p**2*(p - 1)**2*(7*p - 2)/3
Suppose -4*r - 23 = -5*n + 4, 0 = r + 3. Let i(f) be the third derivative of -4/27*f**n - f**2 + 0*f - 1/9*f**4 + 0 + 7/270*f**5. Factor i(q).
2*(q - 2)*(7*q + 2)/9
Let m(b) be the second derivative of b**4/96 - b**3/12 + 25*b. Factor m(l).
l*(l - 4)/8
Let v(k) be the first derivative of 0*k**2 - 1/3*k + 1/9*k**3 + 1. Solve v(q) = 0.
-1, 1
Let u = -11 - -16. Let -3*k**3 - 6*k**2 + u*k**5 - 6*k**3 - 2*k**5 = 0. Calculate k.
-1, 0, 2
Let x(h) be the third derivative of h**7/280 - h**5/16 + h**3/2 - h**2. Let x(q) = 0. What is q?
-2, -1, 1, 2
Let u(i) = -4*i**3 - i**2 + 4*i + 4. Let d = 13 + -17. Let t(k) = -5*k**3 - k**2 + 5*k + 5. Let o(z) = d*u(z) + 3*t(z). Factor o(c).
(c - 1)*(c + 1)**2
Let n = 14/45 - -1/45. Let g(m) be the first derivative of 0*m - 1/2*m**4 + n*m**6 + 0*m**5 + 3 + 0*m**2 + 0*m**3. Factor g(y).
2*y**3*(y - 1)*(y + 1)
Let r(y) be the third derivative of -1/160*y**6 + 0*y - 2*y**2 - 1/120*y**5 + 0 + 0*y**4 - 1/840*y**7 + 0*y**3. What is a in r(a) = 0?
-2, -1, 0
Let k be 30/3 + -2 - 4. Let j(v) be the second derivative of -v + 2/15*v**3 - 1/30*v**k + 0 + 0*v**2. Let j(f) = 0. What is f?
0, 2
Let k(i) be the first derivative of i**6/15 - 16*i**5/75 + i**4/5 - i**2/15 - 1. Factor k(d).
2*d*(d - 1)**3*(3*d + 1)/15
Let i be 325/156*(-2)/10*-2. Let h(q) be the second derivative of q + 6*q**3 + 4*q**2 + 13/6*q**4 + 0 - 9/4*q**5 - i*q**6. Factor h(n).
-(n - 1)*(n + 2)*(5*n + 2)**2
Suppose w = 3*w. Let x be (-321)/135 - -3 - 6/27. Solve w*o + x*o**2 + 0 = 0 for o.
0
Suppose -4 + 5*r - r**3 - 2 - r**2 + 0*r**2 + 3 = 0. What is r?
-3, 1
Let n(u) = -u**4 - u**3 + u**2 - u - 1. Let x(m) = 3*m**4 + 7*m**3 + 7*m**2 + 9*m + 4. Let d(y) = -4*n(y) - 2*x(y). Find f, given that d(f) = 0.
-2, -1
What is x in 7/2*x + 3/2*x**3 + 4*x**2 + 1 = 0?
-1, -2/3
Let a(n) be the first derivative of -n**5/240 - n**4/96 + 2*n**2 - 4. Let t(w) be the second derivative of a(w). Let t(o) = 0. Calculate o.
-1, 0
Let h be 12/(-18) + (-25)/(-6). Let b(i) be the first derivative of i + 13/4*i**4 + 4/5*i**5 + h*i**2 - 2 + 5*i**3. Determine d, given that b(d) = 0.
-1, -1/4
Let a be 6/2 + (1 - 2). What is y in 1/2