/10*r**j + 1/60*r**6 + 1/6*r**4 + 0*r**3 + 3*r. Factor l(w).
w**2*(w - 2)**2/2
Let l(k) be the first derivative of k**8/504 - k**6/45 - k**5/45 + k**4/12 + 2*k**3/9 - 3*k**2/2 + 6. Let g(t) be the second derivative of l(t). Factor g(c).
2*(c - 2)*(c - 1)*(c + 1)**3/3
Let u = 8 + -6. Factor -2*p**2 - 4*p**2 + 2*p**2 + 3*p**u.
-p**2
Let j = -1 - -6. Suppose j = n + 4*n. Let y(m) = m**2 - 2*m - 1. Let v(i) = -i - 1. Let a(r) = n*v(r) - y(r). Factor a(w).
-w*(w - 1)
Let o(z) be the first derivative of -3 + 0*z**3 - 1/240*z**5 - 1/2*z**2 + 0*z + 0*z**4 + 1/480*z**6. Let r(p) be the second derivative of o(p). Factor r(u).
u**2*(u - 1)/4
Let x be 5 + -5 - (-4 + 0). Let j(y) be the first derivative of -1/6*y**x - 2/9*y**3 + 1 + 0*y + 2/15*y**5 + 1/3*y**2. Factor j(h).
2*h*(h - 1)**2*(h + 1)/3
Let v(m) be the third derivative of -m**7/315 - m**6/60 - m**5/30 - m**4/36 - 10*m**2. Factor v(d).
-2*d*(d + 1)**3/3
Suppose 0*k - 3*k = -3. Let o(q) be the first derivative of 1/14*q**4 + 0*q + k - 1/7*q**2 + 0*q**3. Find i, given that o(i) = 0.
-1, 0, 1
Let n(f) be the first derivative of f**6/75 + f**5/50 - 4*f + 4. Let p(y) be the first derivative of n(y). Factor p(g).
2*g**3*(g + 1)/5
Let 54/5 - 198/5*f - 18/5*f**3 + 114/5*f**2 = 0. What is f?
1/3, 3
Let k be (-1)/((-7)/(-4) + -2). Let z be (-2)/((2 - k) + -1). Factor 4/3*v + z*v**2 + 0.
2*v*(v + 2)/3
Let h(s) be the third derivative of -s**5/60 + s**4/8 + s**3/2 - 7*s**2. Let r be h(3). What is g in -4/3*g**2 + 0 - 2/3*g - 2/3*g**r = 0?
-1, 0
Let r(t) be the first derivative of t**5/30 + t**4/12 - 2*t**3/9 - 2*t**2/3 + 16. Solve r(a) = 0.
-2, 0, 2
Let x(l) be the first derivative of l**6/420 + l**5/210 - l**4/42 - 7*l**2/2 + 3. Let b(i) be the second derivative of x(i). Factor b(j).
2*j*(j - 1)*(j + 2)/7
Let m = 19 - -10. Suppose -5*c = -m - 11. Factor 2 - 8*d + c*d - 2*d**2.
-2*(d - 1)*(d + 1)
Let i(s) be the first derivative of -s**6/21 + 6*s**5/35 - s**4/7 - 4*s**3/21 + 3*s**2/7 - 2*s/7 + 2. Solve i(b) = 0 for b.
-1, 1
Suppose 0 + 5/9*b**3 + 5/9*b**5 + 17/3*b**2 + 2*b - 23/9*b**4 = 0. Calculate b.
-1, -2/5, 0, 3
Let a(d) be the second derivative of -3*d**7/7 + 6*d**6/5 + 12*d**5/5 - 40*d**4/9 - 112*d**3/9 - 32*d**2/3 - 13*d. Suppose a(n) = 0. Calculate n.
-2/3, 2
Let l(z) be the third derivative of -z**6/90 + z**5/30 - z**4/24 + z**3/2 - z**2. Let s(y) be the first derivative of l(y). Solve s(x) = 0 for x.
1/2
Suppose 6*q - 27 = 3. Let f(a) be the third derivative of 1/96*a**4 + 0*a**3 + 1/480*a**6 + 0 + 0*a + 2*a**2 - 1/120*a**q. Solve f(i) = 0.
0, 1
Let q(k) = k**2 + 8*k + 2. Let d be q(-8). Suppose d*b + 3*b**4 - 6*b**3 + 1 - 4*b**4 + 4*b**3 = 0. What is b?
-1, 1
Let b = -10420/9 + 1158. Factor b*i**3 + 2/9 + 2/3*i**2 + 2/3*i.
2*(i + 1)**3/9
Let t(q) be the third derivative of -q**9/30240 - q**4/8 - q**2. Let n(d) be the second derivative of t(d). Solve n(y) = 0 for y.
0
Let j(g) be the second derivative of g**7/273 + g**6/65 + g**5/65 + 6*g. Suppose j(q) = 0. What is q?
-2, -1, 0
Let c(u) be the third derivative of u**7/1155 - u**6/660 - u**5/165 - 14*u**2. Factor c(y).
2*y**2*(y - 2)*(y + 1)/11
What is n in 0 + 0*n**3 - 1/6*n**5 + 8/3*n + 2/3*n**4 - 8/3*n**2 = 0?
-2, 0, 2
Factor a**2 + 0*a**2 + a**3 - a**2 + a**2.
a**2*(a + 1)
Let b(h) be the second derivative of h**4/96 - h**3/16 - 8*h. Factor b(r).
r*(r - 3)/8
Let u(d) be the first derivative of 7 + 0*d + 0*d**2 + 2/45*d**5 + 2/27*d**3 + 1/9*d**4. Find m such that u(m) = 0.
-1, 0
Let l be (-6)/(-2)*(-15)/(-9). Suppose -3*z + l + 1 = 0, -5*z = 5*y - 10. Determine b, given that y*b**2 + 2/3*b**4 + 0 + 2/3*b**3 + 0*b = 0.
-1, 0
Let d = -17 + 18. Let c be d + (7/(-3) - -2). Factor -2/3*u**2 + 4/3*u - c.
-2*(u - 1)**2/3
Let z(j) be the first derivative of 2*j**3/9 + 17*j**2/9 - 4*j/3 + 55. Factor z(c).
2*(c + 6)*(3*c - 1)/9
Let c(a) be the third derivative of -a**5/15 + a**4/6 + 4*a**3/3 - 5*a**2. Suppose c(d) = 0. Calculate d.
-1, 2
Let f be (1 - -2) + 1 + -1. Factor 5*g**4 - g**f - 2*g**3 - 3*g**4 - 5*g**4.
-3*g**3*(g + 1)
Suppose -2*c = -2*r + r + 9, 5*c - 16 = -3*r. Suppose 4*u = 1 + r. Let 4*b + u - 25/2*b**4 - 21/2*b**2 - 25*b**3 = 0. Calculate b.
-1, -2/5, 2/5
Find m, given that m**3 + 12*m**2 - 4*m**3 + 10 - 15*m - 4 = 0.
1, 2
Let d(m) be the first derivative of -m**5/80 - m**4/16 + m**2/2 - 3*m + 3. Let o(w) be the first derivative of d(w). Find h, given that o(h) = 0.
-2, 1
Let u(k) = -9*k**3 - 16*k**2 - k. Let o(l) = -l**4 + l**3 + l. Let r(d) = -o(d) - u(d). Solve r(y) = 0.
-4, 0
Let f = -266 - -1334/5. Solve -4/5 + f*a - 1/5*a**2 = 0.
2
Let z = -1671 + 1671. Determine g so that -4*g**3 + z - 8/3*g**5 + 6*g**4 + 0*g + 2/3*g**2 = 0.
0, 1/4, 1
Factor 0*p + 1/8*p**4 + 1/8*p**5 - 1/8*p**2 + 0 - 1/8*p**3.
p**2*(p - 1)*(p + 1)**2/8
Let n(b) be the second derivative of 0*b**2 + 1/3*b**3 + 2*b - 1/180*b**6 + 0 - 1/60*b**5 + 0*b**4. Let l(f) be the second derivative of n(f). Factor l(r).
-2*r*(r + 1)
Let d(u) be the second derivative of -u**7/147 - u**6/35 - u**5/35 + u**4/21 + u**3/7 + u**2/7 + 10*u. Find a, given that d(a) = 0.
-1, 1
Determine i so that -2/7*i + 0 - 1/7*i**2 + 1/7*i**3 = 0.
-1, 0, 2
Let l be (-15)/(-5) + (-2 - -2). Suppose -4*a - 20 = c - 5*c, 0 = l*c + 3*a - 3. Factor 0 + 1/4*b**2 + 1/2*b**c + 0*b + 1/4*b**4.
b**2*(b + 1)**2/4
Suppose 0 + 5/3*f**4 - 2/3*f**3 - 5/3*f**2 + 2/3*f = 0. What is f?
-1, 0, 2/5, 1
Factor 64*b + 76*b**3 + 13*b**4 + 37*b**2 + 16 + 15*b**4 + 4*b**5 + 63*b**2.
4*(b + 1)**3*(b + 2)**2
Let v = 3/37 - -139/111. Let m(b) be the first derivative of -2 + v*b**3 + b**2 - b**4 - 2*b - 2/5*b**5 + 1/3*b**6. Suppose m(i) = 0. What is i?
-1, 1
Let o(h) be the second derivative of 1/15*h**3 + 1/75*h**6 - 1/150*h**5 - 2*h - 1/2*h**2 - 1/15*h**4 + 0. Let s(j) be the first derivative of o(j). Factor s(u).
2*(u - 1)*(u + 1)*(4*u - 1)/5
Let k be (-42)/(-24) - 1/(-4). Factor -2/9 - 2/9*o**k - 4/9*o.
-2*(o + 1)**2/9
Suppose -5*h = -5*q + 15, -q - 29 = -2*h - 6*q. Factor 2/9*f + 0 - 4/9*f**h + 2/9*f**3.
2*f*(f - 1)**2/9
Factor -8/3*c**3 - 92/9*c**2 - 2/9*c**4 - 40/3*c - 50/9.
-2*(c + 1)**2*(c + 5)**2/9
Let s(u) = u**3 + u**2 - 2*u - 2. Let o(k) = -3*k**2 + 3*k + 7 + 4*k + 30*k**3 - 34*k**3. Let r(y) = -2*o(y) - 7*s(y). Find x, given that r(x) = 0.
0, 1
Factor 1/4 + 0*x - 1/4*x**2.
-(x - 1)*(x + 1)/4
Let z(g) be the second derivative of -g**6/15 - 2*g**5/15 + g**4/9 + 4*g**3/9 + g**2/3 - 6*g. Find h such that z(h) = 0.
-1, -1/3, 1
Let m(v) = -3*v**5 + 15*v**4 - 18*v**3 - 18*v. Let q(r) = -r**4 + r**3 + r. Let x(p) = m(p) + 18*q(p). Factor x(i).
-3*i**4*(i + 1)
Let m = -5 - -8. Suppose -3*o + 19 = 5*q, 2*q - 3*o + m = -q. Determine g, given that -2 + 4*g - 2*g**2 - 1 - 1 + g**q = 0.
2
Let 6*z**2 - 8 - 7*z**2 - 103*z**2 + 28*z**3 + 40 + 80*z = 0. What is z?
-2/7, 2
Let n(y) = y - 3. Let q be n(5). Let w = -2 - -3. Determine r, given that w - 5 + 2 + 2*r**q = 0.
-1, 1
Let k = 3/10 + -23/110. Let m(c) be the first derivative of 1/22*c**4 + 4 - k*c**2 + 0*c + 0*c**3. Find v, given that m(v) = 0.
-1, 0, 1
Suppose -4/15 - 14/15*v**3 - 22/15*v - 32/15*v**2 = 0. Calculate v.
-1, -2/7
Let o = 13 + -1. Let k be 30/o*8/30. Let 2/3*w**3 - k*w + 2/3 - 2/3*w**2 = 0. Calculate w.
-1, 1
Let d(j) = 5*j**4 + 8*j**3 - 2*j**2 - 8*j - 3. Let y(v) = -v**3 - v**2 + v + 1. Let o(u) = -d(u) - 3*y(u). Find p, given that o(p) = 0.
-1, 0, 1
Let t = -128 + 131. Let b(z) be the third derivative of 1/30*z**4 + 0*z + 0*z**t + 1/150*z**5 + z**2 + 0. Determine s, given that b(s) = 0.
-2, 0
Let s(m) = -13*m + 3. Let x be s(0). What is a in 0*a + 0 + 2/7*a**2 + 2/7*a**x = 0?
-1, 0
Find w, given that -6*w + 3/5*w**2 + 15 = 0.
5
Find b, given that 0 + 0*b - 2/3*b**3 - 1/3*b**2 - 1/3*b**4 = 0.
-1, 0
Suppose -2*o + 8 = 2. Factor -1/4*w**4 - 13/4*w**2 + o*w - 1 + 3/2*w**3.
-(w - 2)**2*(w - 1)**2/4
Let l be (516/70)/(1/30). Let v = 222 - l. Factor 0 - 2/7*x**2 + 0*x + v*x**3 - 4/7*x**4.
-2*x**2*(x - 1)*(2*x - 1)/7
Suppose -46 = -42*y + 38. Let 0 + 2/11*g**y + 4/11*g = 0. Calculate g.
-2, 0
Let y(t) = 5*t**2 + 2*t + 2. Let m(a) = -11*a**2 - 5*a - 5. Let v(z) = 2*m(z) + 5*y(z). Factor v(p).
3*p**2
Let 10/7*g**2 + 6/7 + 2/7*g**3 + 2*g = 0. Calculate g.
-3, -1
Let n(c) be the first derivative of -c**5/80 - c**4/32 + c**3/4 - c**2/2 - 7. Let p(g) be the second derivative