2/5 + 0*h**2.
-2*(h - 1)**3*(h + 1)/5
Let x(r) be the first derivative of r**5/60 - r**2/2 + 4. Let q(f) be the second derivative of x(f). Find t such that q(t) = 0.
0
Let n(z) be the third derivative of z**7/210 - z**6/120 - z**5/30 + 2*z**2. Let n(o) = 0. What is o?
-1, 0, 2
Let y(x) be the second derivative of 7*x**6/15 - x**5/5 - 7*x**4/6 + 2*x**3/3 - 3*x. Suppose y(v) = 0. What is v?
-1, 0, 2/7, 1
Let f(i) be the third derivative of 3*i**2 + 1/540*i**6 - 1/135*i**5 + 0 + 0*i**3 + 1/108*i**4 + 0*i. Let f(a) = 0. What is a?
0, 1
Let y(o) = -o - 6. Let j be y(-7). Let h be 0 - ((-4)/14)/j. Factor 2/7 - h*f**2 + 6/7*f**3 - 6/7*f.
2*(f - 1)*(f + 1)*(3*f - 1)/7
Let s(x) = x**3 - x**2 - 3*x - 4. Let j be s(3). Let i(z) = z**3 - 4*z**2 - 4*z - 5. Let l be i(j). Factor 8/9*d**2 + 8/9*d + l + 2/9*d**3.
2*d*(d + 2)**2/9
Let o(s) be the third derivative of s**8/1680 - s**7/210 - s**6/120 + s**5/12 + s**4/3 + 8*s**3/15 - 6*s**2 + s. Determine c so that o(c) = 0.
-1, 4
Let x(n) be the second derivative of -n**6/90 + n**5/60 + n**4/36 - n**3/18 + 10*n. Factor x(y).
-y*(y - 1)**2*(y + 1)/3
Find b such that 2*b**2 - 6*b**2 + 6*b**2 - 1 + 0*b**2 - b**4 = 0.
-1, 1
Factor 2/11*q**3 + 0 + 0*q + 0*q**2 - 4/11*q**4 + 2/11*q**5.
2*q**3*(q - 1)**2/11
Let w(v) = -12*v**3 - 56*v**2 - 44*v - 8. Let k(d) = -8*d**3 - 37*d**2 - 29*d - 5. Let f(g) = -8*k(g) + 5*w(g). Solve f(l) = 0.
-3, -1, 0
Let k(j) be the first derivative of -j**6/24 + j**5/4 - j**4/2 + j**3/3 - 25. Solve k(i) = 0.
0, 1, 2
Suppose 21*v + 12 = 75. Factor 1/7*t**v - 5/7*t**2 - 4/7 + 8/7*t.
(t - 2)**2*(t - 1)/7
Let q(w) be the third derivative of -w**7/105 + w**6/80 + w**5/120 + 10*w**2. What is c in q(c) = 0?
-1/4, 0, 1
Let a(f) = -2*f**2 - 3*f + 2. Let w = 9 - 14. Let x(q) = 3*q**2 + 5*q - 3. Let k(u) = w*a(u) - 3*x(u). Solve k(l) = 0.
-1, 1
Let r(v) be the third derivative of 1/480*v**6 + 0 - 3/32*v**4 + 0*v - 1/12*v**3 + 1/280*v**7 + 4*v**2 - 3/80*v**5. Factor r(d).
(d - 2)*(d + 1)**2*(3*d + 1)/4
Suppose 10/11*p**2 - 8/11*p**3 - 4/11*p + 0 + 2/11*p**4 = 0. What is p?
0, 1, 2
Let m(s) be the third derivative of -s**6/60 + s**5/15 - 6*s**2. Factor m(l).
-2*l**2*(l - 2)
Suppose 0 = 4*u - 6*u. Suppose 5*j - 4 = 21. Determine c, given that u*c**5 + c**j - c - 2*c**4 + 2*c**2 + 0*c**5 = 0.
-1, 0, 1
Let j(r) be the first derivative of -r**4/12 - r**3/9 + r**2/6 + r/3 + 2. Factor j(x).
-(x - 1)*(x + 1)**2/3
Let o(i) = 2*i**2 - 5*i - 6. Let b(y) = 4*y**2 - 9*y - 11. Let k(h) = -6*b(h) + 11*o(h). Solve k(x) = 0 for x.
-1/2, 0
Let y(u) be the second derivative of -u**5/160 - u**4/96 + u**3/48 + u**2/16 + 2*u. Factor y(n).
-(n - 1)*(n + 1)**2/8
Let x(i) = -32*i**5 + 45*i**4 - 45*i**3 + 15*i**2. Let g(m) = -11*m**5 + 15*m**4 - 15*m**3 + 5*m**2. Let j(c) = -17*g(c) + 6*x(c). Let j(w) = 0. Calculate w.
0, 1
Let n(h) = -7*h - 5. Let f be n(-1). Let 0*s + 0*s**f + 7/2*s**4 - 1/2*s**3 + 0 - 6*s**5 = 0. What is s?
0, 1/4, 1/3
Let h(c) be the third derivative of c**6/420 - c**4/84 + 20*c**2. Determine a so that h(a) = 0.
-1, 0, 1
Let j(b) be the second derivative of 2*b**6/3 - 11*b**5/4 + 25*b**4/6 - 5*b**3/2 - 27*b. Factor j(c).
5*c*(c - 1)**2*(4*c - 3)
Let k(h) = -9*h**2 + 11*h + 16. Let v(r) = -10*r**2 + 10*r + 15. Let p(z) = 5*k(z) - 4*v(z). Determine b, given that p(b) = 0.
-1, 4
Let p(a) be the third derivative of -a**6/40 + 3*a**5/5 - 6*a**4 + 32*a**3 - a**2. Factor p(b).
-3*(b - 4)**3
Let l be (-18)/(-27) - ((-14)/7 - -2). Suppose 2/3*a**2 + 0 + 4/3*a - l*a**3 = 0. What is a?
-1, 0, 2
Suppose 0 = -5*y - 15*y + 40. Suppose -1/3*f - 2/3*f**y + 2/3 + 1/3*f**3 = 0. What is f?
-1, 1, 2
Determine n, given that 2*n - 5*n + 26*n**2 - 30 - 21*n**2 - 2*n = 0.
-2, 3
Let k(b) be the third derivative of 3*b**8/1288 + b**7/345 - 11*b**6/1380 - 7*b**5/690 + b**4/138 - b**2 + 3*b. Suppose k(p) = 0. Calculate p.
-1, 0, 2/9, 1
Let g(a) be the second derivative of a**5/20 + a**2 + 4*a. Let z(k) be the first derivative of g(k). Find t such that z(t) = 0.
0
Let j(v) be the first derivative of -5*v**3/3 - 5*v**2/2 + 25. Factor j(s).
-5*s*(s + 1)
Suppose 3*i = 2 + 10. Suppose r = i*r. Factor -1/4*z**2 + r*z + 0.
-z**2/4
Let j(u) = -u**2 - u. Let o(q) = 4*q**2 + 7*q. Let w(m) = -15*j(m) - 3*o(m). Determine s, given that w(s) = 0.
0, 2
Let j be (-116)/(-14) - 6/21. Find u such that j + 14*u - 14 - 3*u**2 - 5*u = 0.
1, 2
Let d(a) = a**3 - 7*a**2 + 2. Let q be d(7). Factor 11 - 8*k + 1 - 15*k - 15*k**q - k.
-3*(k + 2)*(5*k - 2)
Let s(p) be the second derivative of p**6/24 + 7*p**5/80 + p**4/24 - 8*p. Suppose s(u) = 0. Calculate u.
-1, -2/5, 0
Factor -2/7*p**4 + 4/7*p**3 - 8/7 + 6/7*p**2 - 8/7*p.
-2*(p - 2)**2*(p + 1)**2/7
Let y(j) be the second derivative of 1/12*j**4 + 0 - j**2 - 1/6*j**3 + 5*j. Factor y(v).
(v - 2)*(v + 1)
Suppose -z = -1 - 3. Factor 2*s**z + s**4 - s**3 - 4*s**4 - s**2 + 2*s**4 + s.
s*(s - 1)**2*(s + 1)
Suppose -4*n + 18 = -14. Let g be (n/(-14))/((-10)/70). Find y, given that -1/2*y**2 + 0 + 1/2*y**g + 1/2*y**3 - 1/2*y = 0.
-1, 0, 1
Let c(x) be the second derivative of 0*x**2 + 9/5*x**5 + 0 + 3*x - 2/3*x**4 - 14/15*x**6 + 0*x**3. Solve c(h) = 0.
0, 2/7, 1
Let s(w) = w**3 - 7*w**2 - 10*w + 72. Let z be s(7). Solve -2 + 0*f + 1/2*f**z = 0.
-2, 2
Let y(z) = 2*z**2 - 4*z. Let t = -3 - -6. Let j be y(t). Let m(i) = 4*i**3 - 4*i**2 + 2*i - 2. Let u(h) = h**3 - h**2. Let k(o) = j*u(o) - m(o). Factor k(r).
2*(r - 1)**2*(r + 1)
Let o(s) be the second derivative of 1/12*s**4 - 3*s + 1/4*s**5 + 2*s**2 - 4/3*s**3 - 1/42*s**7 + 0 - 1/30*s**6. Factor o(h).
-(h - 1)**3*(h + 2)**2
Let j(o) be the second derivative of o**8/2240 - o**7/840 + o**4/3 - 4*o. Let t(v) be the third derivative of j(v). Solve t(s) = 0 for s.
0, 1
Factor 4/7*x**3 + 16/7*x**2 + 0*x + 0.
4*x**2*(x + 4)/7
Let r(v) be the second derivative of -v**5/30 + v**4/18 - 15*v. Suppose r(a) = 0. Calculate a.
0, 1
Let b(m) = 2. Let r(l) = -l**2 + l + 5. Let d(h) = 10*b(h) - 4*r(h). Factor d(k).
4*k*(k - 1)
Let a(g) be the third derivative of -g**6/80 - g**5/8 - 7*g**4/16 - 3*g**3/4 + 36*g**2. Factor a(r).
-3*(r + 1)**2*(r + 3)/2
Let g(i) = -5*i - 1. Let l(u) = u. Let c(m) = g(m) + 4*l(m). Let s(d) = 2*d**2 - 5*d - 3. Let v(k) = -3*c(k) + s(k). Factor v(j).
2*j*(j - 1)
Let t be (1 + -2 - (-63)/15) + -3. Let y(p) be the second derivative of -1/10*p**4 + 0 - 1/50*p**5 - t*p**2 - p - 1/5*p**3. Factor y(d).
-2*(d + 1)**3/5
Let j(f) = 2*f**3 - 2*f**2 - 2*f + 3. Let m be j(2). Suppose 0*u**3 - 8*u**3 + m*u**3 = 0. What is u?
0
Let h = -6730/9 - -750. Let p be (-28)/(-63) + 1*10/15. Factor -10/9*c - h*c**3 - 2/9*c**5 - 2/9 - 20/9*c**2 - p*c**4.
-2*(c + 1)**5/9
Suppose -45*m**3 + 12*m**5 + 6*m**4 + 9*m**3 + 2*m**4 + 16*m = 0. What is m?
-2, -2/3, 0, 1
Let z(r) be the second derivative of -r + 0 + 1/2*r**2 + 1/24*r**4 + 1/4*r**3. Factor z(k).
(k + 1)*(k + 2)/2
Let a(k) be the first derivative of -4*k + 3*k**2 - k**3 + 4*k + 1 + 4*k**3. Factor a(s).
3*s*(3*s + 2)
Let r(w) be the third derivative of -9*w**5/40 - 3*w**4/8 - w**3/4 - 5*w**2. Factor r(k).
-3*(3*k + 1)**2/2
Let p be 21/(-7) - (1 + -3) - -5. Let t(i) be the second derivative of -1/8*i**5 + 3/8*i**p + 1/60*i**6 + 1/2*i**2 + 2*i + 0 - 7/12*i**3. Factor t(b).
(b - 2)*(b - 1)**3/2
Let w = 2/355 - -704/1065. Solve 0*m**3 + 1/3*m**4 - w*m**2 + 0*m + 1/3 = 0.
-1, 1
Let p(k) be the second derivative of k**6/45 + k**5/10 + k**4/6 + k**3/9 - 16*k. Solve p(b) = 0 for b.
-1, 0
Let v(r) be the third derivative of -r**8/840 + 4*r**7/525 - r**6/50 + 2*r**5/75 - r**4/60 - 2*r**2. Suppose v(o) = 0. What is o?
0, 1
Let a(o) be the third derivative of 1/14*o**4 + 0 + 0*o**3 + 0*o + 1/35*o**5 + 5/112*o**8 - 2/245*o**7 - 39/280*o**6 + 8*o**2. Let a(q) = 0. What is q?
-1, -2/7, 0, 2/5, 1
Suppose 6*v - 28 = 20. Let y(z) = 6*z**3 + 14*z**2 - 4*z. Let q(d) = 0*d**3 - 2*d**3 + 9*d**2 + 6*d**3 - 3*d. Let b(n) = v*q(n) - 5*y(n). Factor b(l).
2*l*(l - 1)*(l + 2)
Let g(n) be the first derivative of -n**9/10584 + n**8/2940 - n**6/630 + n**5/420 - n**3 - 1. Let s(r) be the third derivative of g(r). Factor s(a).
-2*a*(a - 1)**3*(a + 1)/7
Suppose -14 = -4*n - 3*z, 5*n - 2 = 3*z + 2. Factor 12*p**3 - 6*p + 12 + 7*p - 9*p**n - 13*p - 3*p**4.
-3*(p - 2)**2*(p - 1)*(p + 1)
Suppose -2*x = f + 2, 5*x + 5*f = 3 + 2. Let m be 6/(-4)*2/x. Factor m - 3*b**2 + 5