**4 + 12/7*d**2.
2*(d - 1)**4/7
Let s(q) be the second derivative of q**4/30 + 12*q**3/5 + 324*q**2/5 + q + 1. Factor s(d).
2*(d + 18)**2/5
Let a(u) be the third derivative of 0*u + 2*u**2 + 0 - 1/72*u**4 + 0*u**3 + 1/360*u**6 + 0*u**5. Factor a(d).
d*(d - 1)*(d + 1)/3
Let m be ((-2)/(-3))/((-49)/(-21)). Let k(v) be the first derivative of 2/7*v - m*v**2 - 1 + 2/21*v**3. Factor k(p).
2*(p - 1)**2/7
Let n(h) = -h**3 + h + 1. Let v(z) = 6*z**3 - 12*z - 5. Let w(k) = k. Let m(j) = -v(j) - 6*w(j). Let c(l) = -m(l) + 5*n(l). Find q such that c(q) = 0.
-1, 0, 1
Let t(k) be the first derivative of -k**4/36 - k**3/9 - k**2/6 - 4*k - 2. Let f(d) be the first derivative of t(d). What is h in f(h) = 0?
-1
Factor 0 + 0*h**2 + 2/7*h**3 + 2/7*h**4 + 0*h.
2*h**3*(h + 1)/7
Let n(r) be the second derivative of 2*r**4/3 + 2*r**3 - 4*r**2 + 9*r. Factor n(a).
4*(a + 2)*(2*a - 1)
Let x(h) be the first derivative of -4*h**5/35 + h**4/7 + 4*h**3/21 - 2*h**2/7 - 45. Factor x(z).
-4*z*(z - 1)**2*(z + 1)/7
Let s(v) = -2*v**3 + 4*v**2 - v - 2. Let m be s(-2). Solve -86*u**3 - m*u**5 - 1/2 - 73/2*u**2 - 88*u**4 - 7*u = 0.
-1, -1/4
Factor 3*v**2 - 18*v**3 + 6*v - 27/2*v**4 - 3/2.
-3*(v + 1)**2*(3*v - 1)**2/2
What is y in 9*y - 55*y + y**3 - 4*y**2 - 2*y + 11*y**3 + 16 = 0?
-2, 1/3, 2
Let z(u) = -8*u + 21*u**2 - u + 1 - 13. Let k(v) = 22*v**2 - 9*v - 13. Let q(p) = 6*k(p) - 7*z(p). Let q(h) = 0. What is h?
-2/5, 1
Suppose -3*d + 0*d = -3. Suppose 4*f + 3*h + 5 = d, 5*f + 6 = -4*h. Determine i so that 2/3*i**f + 0 + 0*i - 2/3*i**3 = 0.
0, 1
Determine r so that -2/3*r**3 + 4/3*r - 4/3 - 1/3*r**4 + r**2 = 0.
-2, 1
Let s(v) be the second derivative of -v**4/84 + v**3/21 + 3*v**2/14 - 2*v. What is w in s(w) = 0?
-1, 3
Solve 84/13*p**2 + 4/13 + 54/13*p**3 + 34/13*p = 0.
-1, -1/3, -2/9
Let l(b) be the third derivative of -b**6/480 + b**5/240 + b**4/96 - b**3/24 - b**2. Determine m so that l(m) = 0.
-1, 1
Let x(p) be the third derivative of 3/8*p**4 + 0*p + 1/60*p**5 - 13/120*p**6 + 9*p**2 + 1/3*p**3 + 0 - 1/70*p**7 + 1/84*p**8. Find v such that x(v) = 0.
-1, -1/4, 1, 2
Let u(p) = p + 1. Let v(n) = 5*n + 4. Let f(q) = 6*u(q) - v(q). Let i be f(0). Determine k, given that 2*k**i - 3 + 3 = 0.
0
Let p(q) = q**2 + 2*q - 11. Let s be p(-7). Factor 2*n**4 - 22*n**2 - 9 - 3*n**4 - 5*n**3 - 3*n**3 - s*n.
-(n + 1)**2*(n + 3)**2
Let b(w) = -4*w - 25. Let c be b(-10). Suppose 3*i + 10 = -u, -5*i + 1 = 3*u + c. Solve 2*a + 1/2*a**2 + u = 0.
-2
Let w = -346 - -346. Suppose l + 1 = -5*z + 2*l, -5*z = -5*l + 5. Let w*t**2 + 0*t**3 + 0 + t**4 + z*t - 3/2*t**5 = 0. What is t?
0, 2/3
Let r(q) be the second derivative of -5*q**4/6 + 5*q**3/6 + 5*q**2/2 - 5*q. Factor r(z).
-5*(z - 1)*(2*z + 1)
Let g be (-4)/(-30) - 2/(-10). Let b(q) = -4*q + 99. Let a be b(24). Factor -a + 2*c - g*c**2.
-(c - 3)**2/3
Let i(d) be the third derivative of -1/8*d**4 + 0*d**3 + 1/20*d**5 + 0*d - d**2 + 0. Let i(r) = 0. Calculate r.
0, 1
Suppose -35 = -4*k - 115. Let q = k - -23. Solve 0 + 2/7*r + 2/7*r**5 + 0*r**4 - 4/7*r**q + 0*r**2 = 0.
-1, 0, 1
Let o be ((-4 - -4) + 1)*5 - 3. Let 2*y**o - 1/2*y - 1/2*y**5 + 2*y**4 + 0 - 3*y**3 = 0. Calculate y.
0, 1
Determine f so that -4/5*f**3 + 0*f**2 + 1/5*f**4 + 0 + 0*f = 0.
0, 4
Let t(g) be the first derivative of 2*g**5/15 - g**4/6 - 2*g**3/9 + g**2/3 - 22. Factor t(j).
2*j*(j - 1)**2*(j + 1)/3
Factor -16*u**2 - 1024/3 - 2/3*u**3 - 128*u.
-2*(u + 8)**3/3
Let w(s) be the second derivative of s**6/540 - s**3/3 - s. Let a(m) be the second derivative of w(m). Factor a(l).
2*l**2/3
Let u be 2 - 2 - (-46)/161. Factor -44/7*k**2 + 16/7*k**3 - u*k**4 - 18/7 + 48/7*k.
-2*(k - 3)**2*(k - 1)**2/7
Let s be 4/(-90)*-40 + 4/18. Factor -2/11 + 0*w + 2/11*w**s.
2*(w - 1)*(w + 1)/11
Let -101*v - 87*v - 4*v**2 + 164*v = 0. What is v?
-6, 0
Let n(b) = -2*b + 10. Let s be n(3). Factor -2*h + s*h**2 - 2*h**2 + 3*h - h**2.
h*(h + 1)
Let d(n) be the second derivative of -n**5/50 - n**4/10 - n**3/5 - n**2/5 - 15*n. Factor d(c).
-2*(c + 1)**3/5
Let b = 8 + -5. Suppose -b*k = -k. Suppose k*j - 3*j**4 - 4*j**3 + 2*j**2 + 4*j + 3 - 2 = 0. What is j?
-1, -1/3, 1
Let n(u) be the third derivative of -u**7/490 - u**6/140 - u**5/140 - 2*u**2. Factor n(f).
-3*f**2*(f + 1)**2/7
Let h be ((-8)/10)/((-616)/440). Factor 0*r**2 - 6/7*r + h + 2/7*r**3.
2*(r - 1)**2*(r + 2)/7
Let t be (12*16/(-256))/((-18)/4). Let t*d**2 - 1/3 - 1/6*d = 0. What is d?
-1, 2
Let s(v) be the third derivative of v**6/300 + v**5/75 - v**4/60 - 2*v**3/15 - 7*v**2. Factor s(n).
2*(n - 1)*(n + 1)*(n + 2)/5
Let h(b) be the second derivative of b**5/12 - 5*b**4/18 - 5*b**3/18 + 5*b**2/3 - 26*b. Let h(s) = 0. Calculate s.
-1, 1, 2
Let b(l) be the third derivative of l**5/45 + 5*l**4/18 - 4*l**3/3 + 5*l**2 - 4*l. Factor b(y).
4*(y - 1)*(y + 6)/3
Let b(c) be the second derivative of c**7/21 - c**6/3 + 7*c**5/10 + c**4/6 - 8*c**3/3 + 4*c**2 - 3*c. Find f such that b(f) = 0.
-1, 1, 2
Let f(l) be the first derivative of -l**6/60 + l**2/2 + 4. Let b(x) be the second derivative of f(x). Factor b(v).
-2*v**3
Let y(n) be the second derivative of 7*n**5/60 - 5*n**4/32 + n**3/12 + 2*n**2 - 8*n. Let i(l) be the first derivative of y(l). Solve i(a) = 0 for a.
1/4, 2/7
Let c(a) be the first derivative of 65*a**4/4 - 5*a**3/3 - 65*a**2/2 + 5*a - 36. Factor c(x).
5*(x - 1)*(x + 1)*(13*x - 1)
Suppose 6*f**2 - 19*f + 6*f**2 - 2*f**3 + 5*f + 16 - 10*f = 0. What is f?
2
Let n(h) be the first derivative of 4*h**3/3 - 16*h**2 + 64*h - 4. Let n(y) = 0. What is y?
4
Let h = -10 + 14. Let a(t) be the second derivative of 1/150*t**6 + 0*t**2 - 3/100*t**5 - 3*t + 0 + 1/30*t**h + 0*t**3. Solve a(m) = 0.
0, 1, 2
Suppose 2*p - 2*h - 2 = 0, 2*p + 0*h + 26 = -5*h. Let b be p*2/6*0. Factor -1/3*i - 5/3*i**2 - 4/3*i**3 + b.
-i*(i + 1)*(4*i + 1)/3
Let n(r) be the first derivative of r**4/10 - 2*r**3/15 - 2*r**2/5 - 52. Factor n(p).
2*p*(p - 2)*(p + 1)/5
Let y(a) be the second derivative of -a**5/210 + a**4/42 - a**3/21 + a**2/21 - 2*a + 22. Solve y(c) = 0 for c.
1
Let x(v) be the second derivative of 11*v**7/210 - v**6/75 - 11*v**5/100 + v**4/30 - 4*v. What is i in x(i) = 0?
-1, 0, 2/11, 1
Let o = -108 + 113. Let s(i) be the second derivative of -1/3*i**2 + 1/90*i**6 + 1/60*i**o + 0 + 4*i - 5/18*i**3 - 1/12*i**4. Find v, given that s(v) = 0.
-1, 2
Suppose 7*t - 2*t + t**3 - 2*t - 3*t**2 - 1 = 0. Calculate t.
1
Determine g so that 160*g**4 + 65*g - 39*g**5 - 145*g**2 - 15 - 41*g**5 + 30*g - 15*g**3 = 0.
-1, 1/4, 3/4, 1
Factor -8/5*y - 8/5*y**2 - 2/5*y**3 + 0.
-2*y*(y + 2)**2/5
Suppose x - 12 = 4*x. Let b = 8 + x. Factor -2*s**3 + 5*s**2 + 2*s**b - 2*s**2 + 2*s - 5*s**2.
2*s*(s - 1)**2*(s + 1)
Let p(a) be the first derivative of -2 + 0*a - 1/2*a**2 - 1/80*a**5 + 5/96*a**4 - 1/12*a**3. Let l(h) be the second derivative of p(h). Solve l(x) = 0.
2/3, 1
Let f(j) = 165*j**3 + 335*j**2 + 115*j - 25. Let z(g) = 41*g**3 + 84*g**2 + 29*g - 6. Let y(d) = -4*f(d) + 15*z(d). Determine w so that y(w) = 0.
-1, 2/9
Determine r so that 2*r - 1/3*r**2 - 5/3 = 0.
1, 5
Factor -3*o**3 + o**5 - 2*o - 18*o**2 + 0*o + 23*o**2 + 0*o - o**4.
o*(o - 1)**3*(o + 2)
Let f(s) be the first derivative of -s**5/30 + s**4/9 - s**3/9 + 5*s + 4. Let z(t) be the first derivative of f(t). Solve z(m) = 0.
0, 1
Suppose 5*a = 2 + 13. Determine h, given that 9/2*h**a + 7/2*h**4 - 9/2*h - 1 - 5/2*h**2 = 0.
-1, -2/7, 1
Suppose n - 1 = 1. Let i(l) be the second derivative of -1/6*l**4 + 0*l**n + 3*l + 0 - 1/3*l**3. Find q such that i(q) = 0.
-1, 0
Let y(q) be the third derivative of q**7/10080 - q**6/720 + q**5/120 - q**4/3 + 4*q**2. Let c(j) be the second derivative of y(j). What is x in c(x) = 0?
2
Let h = 9/4 - 0. Determine x so that 1/4*x**2 - 3/2*x + h = 0.
3
Let o(j) be the first derivative of -2*j**6/15 - 12*j**5/25 - 2*j**4/5 + 8*j**3/15 + 6*j**2/5 + 4*j/5 + 41. Determine d so that o(d) = 0.
-1, 1
Solve -11*w + 5*w**2 + w**2 - 3*w**2 + 2*w = 0 for w.
0, 3
Suppose 0 = -63*f + 126*f - 50*f. Find r, given that 0*r - 4/3*r**2 + f = 0.
0
Suppose 0 = y - 0*y - 18. Let m = y + -14. Solve 2/7 - 4/7*s**2 + 0*s**3 + 0*s + 2/7*s**m = 0.
-1, 1
Let s(b) be the second derivative of 0*b**2 + 0 + b + 3/5*b**6 + 20/27*b**4 + 13/10*b**5 + 4/27*b**3. Factor s(a).
2*a*(a + 1)*(9*a + 2)**2/9
Let m(v) be the third derivative of v**5/12