*a**2 - 4/5*a - 13/15*a**3. Factor g(p).
-(p + 2)**2*(3*p + 1)/5
Let h(v) be the third derivative of v**6/6 - 14*v**5/15 + 13*v**4/6 - 8*v**3/3 + 16*v**2. Find l such that h(l) = 0.
4/5, 1
Let i(a) be the third derivative of 0 - 1/3*a**3 + 0*a + 1/30*a**5 + 1/12*a**4 - 3*a**2 - 1/60*a**6. Factor i(x).
-2*(x - 1)**2*(x + 1)
Let r be (-1)/((-260)/87 + 3). Let s = -257/3 - r. Let -s*g**3 - g + 7/3*g**5 - 4*g**4 - 2/3 + 14/3*g**2 = 0. Calculate g.
-1, -2/7, 1
Solve 0*u - 3/7*u**3 + 0 + 6/7*u**4 - 3/7*u**5 + 0*u**2 = 0 for u.
0, 1
Suppose 2 = -f + 6. Suppose -j**2 + 2*j**f - 2*j**2 + j**2 = 0. What is j?
-1, 0, 1
Suppose -57*g = -59*g. Solve -8/5 + g*v + 14/5*v**2 - 2/5*v**3 - 6/5*v**4 + 2/5*v**5 = 0 for v.
-1, 1, 2
Let o(f) be the third derivative of f**7/1050 - f**6/120 + f**5/300 + 7*f**4/40 - 3*f**3/5 - 14*f**2. Determine g so that o(g) = 0.
-2, 1, 3
Suppose -5 - 16*n - 36*n**2 + 3 + 24*n**5 - 9*n**3 + 38*n**4 + n**3 = 0. What is n?
-1, -1/3, -1/4, 1
Let y = 1 + 2. Let w = 15 - 13. Determine z, given that 0 + 0*z**w + 0*z + 2/3*z**y = 0.
0
Let o(s) be the second derivative of s**5/5 + s**4/12 - 37*s. Factor o(k).
k**2*(4*k + 1)
Let b(p) = -p**2 + 2*p - 3. Let i(h) = -h. Let y(j) = b(j) - 2*i(j). Factor y(a).
-(a - 3)*(a - 1)
Let g(l) = -l + 1 - 4 - 2. Let h be g(-7). Factor w**2 + w + 0*w - 4 + h.
(w - 1)*(w + 2)
Let z(y) = 2*y**3 + 4*y**2 + 2*y. Let g be z(-2). Let k be 2 - g*(-3)/6. Factor -2*m**3 + k + 2/3*m**4 + 2*m**2 - 2/3*m.
2*m*(m - 1)**3/3
Let n(k) be the third derivative of -k**5/40 + k**3 + 13*k**2. Solve n(i) = 0.
-2, 2
Let x(r) = 0*r + 6*r - 1 + r - 4*r. Let h be x(1). Factor -5*s**2 + h + 5 + 2 + 2*s**2 - 6*s.
-3*(s - 1)*(s + 3)
Let n(f) be the third derivative of f**6/120 + f**5/120 - f**4/48 + 7*f**2. Factor n(x).
x*(x + 1)*(2*x - 1)/2
Let r(q) be the first derivative of 0*q**3 + 1/3*q**6 + 0*q**2 - 2 + 0*q - 1/2*q**4 + 0*q**5. Let r(m) = 0. Calculate m.
-1, 0, 1
Let u be (-30)/8 + 3 - 58/(-56). Factor 4/7*j - u*j**3 + 2/7*j**2 + 0.
-2*j*(j - 2)*(j + 1)/7
Let l(h) be the second derivative of h**6/45 - 13*h. Suppose l(t) = 0. Calculate t.
0
Let c(r) = r**2 - r + 1. Let j(o) = 5*o**2 - 6*o + 7. Let w(s) = 6*c(s) - j(s). Let w(h) = 0. Calculate h.
-1, 1
Let q(f) be the second derivative of 0*f**3 + 1/48*f**4 + 1/480*f**6 - 1/80*f**5 + 0 + 3/2*f**2 + 3*f. Let d(s) be the first derivative of q(s). Factor d(r).
r*(r - 2)*(r - 1)/4
Let c(m) = m**2 - m + 1. Let j(g) = -4*g**3 + 4*g**2 - 5*g + 5. Let i(o) = 5*c(o) - j(o). What is h in i(h) = 0?
-1/4, 0
Let -19*t + 4*t**2 + 15*t - 8 + 0*t**2 = 0. What is t?
-1, 2
Let u be (2 - 3)/(2/(-6)). Factor m - 2*m**u - 4*m**2 + 4*m**2 + m**3.
-m*(m - 1)*(m + 1)
Factor 12*p - 5*p**2 + 12*p + 12 - 9*p**3 + 12*p + 2*p**2.
-3*(p - 2)*(p + 2)*(3*p + 1)
Let d = -1/125 + 134/1125. Let u(o) be the third derivative of 2/9*o**3 + 3*o**2 + 0*o + 0 + 1/36*o**5 + d*o**4 + 1/360*o**6. Determine z so that u(z) = 0.
-2, -1
Let u(y) = 12*y**2 - 2. Let l be u(-4). Let c = l - 85. Determine k so that -105*k**2 + 93*k**4 - 90*k**3 + 7*k**3 + 24*k - 46*k**3 + c*k**5 + 12 = 0.
-1, -2/7, 2/5, 1
Let t be -4 - (1*-21)/(-37 - -42). Factor 2/5*m - t*m**4 + 1/5*m**5 - 3/5*m**3 + 1/5*m**2 + 0.
m*(m - 2)*(m - 1)*(m + 1)**2/5
Let n(y) be the second derivative of 4/3*y**3 + 4*y**2 + 1/6*y**4 + 2*y + 0. Find q such that n(q) = 0.
-2
Let n(u) be the second derivative of u**10/105840 - u**9/26460 + u**8/23520 + u**4/12 - u. Let m(j) be the third derivative of n(j). Solve m(v) = 0 for v.
0, 1
Let v = 20 + -7. Suppose 3*z - f = -0 + 10, 0 = 3*z - 4*f - v. Solve z*d + 2 + 3*d**2 - 2 = 0 for d.
-1, 0
Let f(o) be the second derivative of o**5/4 - 5*o**4/6 + 5*o**3/6 - 52*o. Let f(z) = 0. Calculate z.
0, 1
Let k(n) be the first derivative of 2/7*n**2 + 1/42*n**4 + 2*n + 1 - 1/7*n**3. Let d(c) be the first derivative of k(c). Factor d(q).
2*(q - 2)*(q - 1)/7
Let i(m) be the third derivative of 2*m**7/105 + 11*m**6/120 + m**5/6 + m**4/8 + 47*m**2. What is c in i(c) = 0?
-1, -3/4, 0
Let h(n) be the first derivative of 3*n**4/4 + n**3 - 5. Factor h(s).
3*s**2*(s + 1)
Suppose -g = -j - 3640, -g + 5 = -0*g. Let h = 14807/4 + j. Solve 1 - 6*c + 27/4*c**4 - 243/4*c**5 + h*c**3 - 31/4*c**2 = 0.
-1, -1/3, 2/9, 1
Suppose 0 = -4*a + 2*s + 10, -a + 5*s = -3*a + 23. Let d be -2 + a + (-10)/6. Determine f so that d*f**2 + 2/3*f + 0 = 0.
-2, 0
Let u(h) be the first derivative of -32/15*h**3 - 4/5*h + 11/5*h**2 + 3 + 7/10*h**4. Let u(l) = 0. Calculate l.
2/7, 1
What is u in -7/5*u**3 - 4/5*u - 16/5*u**2 + 0 = 0?
-2, -2/7, 0
Let a(n) be the second derivative of -2*n + 0 + 0*n**2 - 1/9*n**4 - 1/30*n**5 + 0*n**3. Determine y, given that a(y) = 0.
-2, 0
Suppose 4*k = -4*w + 60, w - 2 = -1. Let u be (3/(-21))/((-4)/k). Factor 1/2*a - u*a**2 + 0.
-a*(a - 1)/2
Let f = -233 + 235. Solve -88/5*m - 8/5 - 242/5*m**f = 0 for m.
-2/11
Let j(r) be the second derivative of -1/6*r**3 + 2*r - 1/12*r**4 + 0 + r**2. Determine c, given that j(c) = 0.
-2, 1
What is l in 50*l**4 + 72*l**5 + 8*l - 24*l**3 - l**2 - 30*l**2 + 42*l**4 - 5*l**2 = 0?
-1, 0, 2/9, 1/2
Suppose -5*u - 4 = -19. Let -v - 4*v + 5*v - v**u + v**4 = 0. Calculate v.
0, 1
Let r(a) be the second derivative of -7/60*a**6 + 1/3*a**4 + 1/21*a**7 - 1/4*a**2 - 1/6*a**3 + 0 - 1/20*a**5 - 2*a. What is n in r(n) = 0?
-1, -1/4, 1
Let s(m) be the second derivative of -3*m**6/10 + 3*m**5/20 + 23*m**4/12 + 13*m**3/6 + m**2 - 7*m. Factor s(y).
-(y - 2)*(y + 1)*(3*y + 1)**2
Suppose -4*b + 2*b = 2*x - 8, 14 = -b + 5*x. Let s be 1/2 + -1 + b. Factor 0 + 1/2*w**3 + 0*w**2 + s*w**5 + 0*w + w**4.
w**3*(w + 1)**2/2
Let h(t) = -4*t**3 + 0 + 6*t**2 + 8*t - 14*t**2 + 4. Let n(d) = 4*d**3 + 7*d**2 - 7*d - 4. Let x(i) = 3*h(i) + 4*n(i). Factor x(m).
4*(m - 1)*(m + 1)**2
Let r(g) = -g**3 + 20*g**2 + 23*g - 40. Let p be r(21). Let k = 353/460 + 3/92. Determine q, given that -6/5*q**3 + 2/5*q**5 + 2*q**p - 2/5*q**4 + 0 - k*q = 0.
-2, 0, 1
Let m(a) = a**3 + 7*a**2 + 4*a - 7. Let r be m(-6). Let -p**2 - r*p**3 + 0*p**4 - 3*p + 3*p**4 - 2 + 8*p = 0. What is p?
-1, 2/3, 1
Suppose -5*o + o = -32. Let p(v) be the third derivative of 1/420*v**o + 0*v**4 + 1/175*v**7 + 0*v**5 - v**2 + 1/300*v**6 + 0 + 0*v**3 + 0*v. Solve p(l) = 0.
-1, -1/2, 0
Let d be (12/24)/((-2)/80). Let r be ((-3)/14)/(15/d). Factor -4/7*v + 0 - r*v**2.
-2*v*(v + 2)/7
Factor 0*z + 0 + 12/5*z**2 + 0*z**3 - 9/5*z**4 + 3/5*z**5.
3*z**2*(z - 2)**2*(z + 1)/5
Let j be 1 - (6/9 + 0). Let z = -53/4 + 163/12. Suppose j*i**2 - z + 0*i = 0. Calculate i.
-1, 1
Let s(k) = 2*k**2 - 3*k - 3. Suppose -3*y - 11 = -5*z, -4*y + 0*z - z + 16 = 0. Let h(a) = -a**2 + a + 1. Let v(j) = y*h(j) + s(j). Factor v(x).
-x**2
Suppose 0 = 3*f - 4*t + 11, -2*t + 6 = -3*f + t. Solve -10*a + 11*a**f + a**3 + 12*a**3 + 2*a + 4*a**2 = 0.
-2/3, 0, 1/2
Let w(s) be the third derivative of -s**5/330 + 7*s**4/132 - 2*s**3/11 - 3*s**2 + 10*s. Factor w(k).
-2*(k - 6)*(k - 1)/11
Let w(f) = 2*f**2 + 5*f - 2. Let j be w(-4). Let z be ((-28)/(-35))/(4/j). Factor 1/5*p**z + 0 + 1/5*p.
p*(p + 1)/5
Let z(w) be the third derivative of -w**6/280 - 9*w**5/70 - 27*w**4/14 - 108*w**3/7 + 15*w**2. Factor z(q).
-3*(q + 6)**3/7
Let a be ((-112)/(-49))/1 - (-4)/(-14). Solve -2*j**2 + 2/3*j**3 - 2/3 + a*j = 0.
1
Let q(u) = 2*u**2 + 2*u + 2. Let k be q(-1). Let c = 2 + 2. Find j, given that 4*j**3 + j + k - c*j**3 - j**3 - 2*j**2 = 0.
-2, -1, 1
Suppose -5*p - 20 = -100. Suppose v - 3*h = 1 + 1, -4*v + p = -4*h. Factor 0 - 2/3*d**2 + 2/3*d**3 + 0*d + 2/3*d**4 - 2/3*d**v.
-2*d**2*(d - 1)**2*(d + 1)/3
Let 10/7*a + 4/7 + 6/7*a**2 = 0. Calculate a.
-1, -2/3
Suppose 6*i = 2*i. Let z = i - 0. Let 2/5*t**5 + 4/5*t**4 + 0*t**3 - 2/5*t + z - 4/5*t**2 = 0. Calculate t.
-1, 0, 1
Let z(l) be the first derivative of l**3 + 9*l**2/2 + 6*l - 4. Factor z(q).
3*(q + 1)*(q + 2)
Let g(d) be the second derivative of -d**6/810 + d**5/540 + d**4/108 - d**3 - 3*d. Let p(i) be the second derivative of g(i). Let p(s) = 0. Calculate s.
-1/2, 1
Let j be (-16)/(-18) + (-10)/15. Let k(b) be the first derivative of 0*b + 2/45*b**5 - 3 - 2/9*b**2 + 10/27*b**3 - j*b**4. Factor k(v).
2*v*(v - 2)*(v - 1)**2/9
Let w(v) be the third derivative of v**8/336 - v**7/70 + 14*v**2. Factor w(p).
p**4*(p - 3)
Let d(s) be the third derivative of -s**5/12 - 5*s**4/24 + 5*s**3/