o(v) be the third derivative of -1/60*v**6 + 0 - 8*v**2 + 0*v**3 - 1/30*v**5 + 1/6*v**4 + 0*v. What is i in o(i) = 0?
-2, 0, 1
Factor -5/4*a + 3/4*a**2 + 0.
a*(3*a - 5)/4
Let w be 1 - (-1)/3 - 270/405. Let -w*l**4 - 4/3*l + 0*l**2 + 2/3 + 4/3*l**3 = 0. What is l?
-1, 1
Let k(x) be the first derivative of -3/80*x**5 - 1/2*x**2 - 3*x + 5 - 11/48*x**4 - 1/2*x**3. Let h(r) be the first derivative of k(r). What is g in h(g) = 0?
-2, -1, -2/3
Let a be ((-14)/63)/(((-30)/27)/10). Factor 0*d**a + 0*d + 4/3*d**4 + 0*d**3 + 0.
4*d**4/3
Factor 176/7*h - 160/7 - 58/7*h**2 + 6/7*h**3.
2*(h - 4)**2*(3*h - 5)/7
Let r(m) = -m**2 - 5*m - 3. Let s be r(-3). Let l = 108/37 + -395/148. Let -5/4*d - l*d**s - d**2 - 1/2 = 0. What is d?
-2, -1
Let f = -7162 + 7166. Let -12/5*h**2 - 14/5*h**3 + 4/5 + 14/5*h + 8/5*h**f = 0. What is h?
-1, -1/4, 1, 2
Factor 1/3*u**3 + 17/3*u - 10/3*u**2 - 8/3.
(u - 8)*(u - 1)**2/3
Let o be ((-6)/(-4))/(3 + 1782/(-600)). Let p be ((-4)/o)/((-8)/45)*4. Determine i so that 3/5 - 9/5*i + p*i**2 - 3/5*i**3 = 0.
1
Let q(n) = 5*n - 90. Let i be q(18). Let t(w) be the first derivative of 0*w**3 + 0*w**2 + i*w - 9/5*w**5 - 3 + 5/2*w**6 - 3/2*w**4. Factor t(j).
3*j**3*(j - 1)*(5*j + 2)
Suppose 208/7 + 428/7*t**2 - 848/7*t - 4*t**3 = 0. Calculate t.
2/7, 2, 13
Let f(o) be the second derivative of -o**4/96 + 7*o**3/48 + o + 288. Suppose f(l) = 0. Calculate l.
0, 7
Let l(g) = -800 - 86*g - 42*g - 42*g - 3*g**2. Let v(f) = 20*f**2 + 1104*f + 5200. Let x(n) = 32*l(n) + 5*v(n). Determine b so that x(b) = 0.
-10
Let h(d) be the third derivative of 0*d**3 + 0*d - 25/1344*d**8 - 8*d**2 - 1/12*d**4 + 1/80*d**6 + 0 + 11/168*d**7 - 7/60*d**5. Suppose h(y) = 0. What is y?
-2/5, 0, 1, 2
Let k(h) be the third derivative of -h**7/42 + 7*h**5/12 - 5*h**4/4 + 132*h**2. What is a in k(a) = 0?
-3, 0, 1, 2
Suppose 0*v + 0 + 0*v**2 + 2/5*v**3 = 0. Calculate v.
0
Factor -12/7*k**2 - 9/7*k + 3/7.
-3*(k + 1)*(4*k - 1)/7
Let d(l) = 12*l**2 + 168*l - 175. Let k(q) = 17*q**2 + 252*q - 262. Let x(f) = 7*d(f) - 5*k(f). Factor x(n).
-(n - 1)*(n + 85)
Let k(m) = 5*m**3 - 79*m**2 + 248*m. Let q(w) = w**3 - 16*w**2 + 48*w. Let o(u) = -2*k(u) + 11*q(u). Factor o(h).
h*(h - 16)*(h - 2)
Let w be -3*(-92)/(-24)*-2. Suppose -20*i - 51*i**2 + 21*i**2 - w*i**3 + 3*i**3 - 5*i**4 - 5 = 0. Calculate i.
-1
Let q be (-3)/(-5) - -6*21/40. Let p be (-38)/(-8) - 2/(-4). Let 0 + 3/2*d - q*d**2 - p*d**3 = 0. Calculate d.
-1, 0, 2/7
Let m(c) be the first derivative of 3*c**5/20 + 9*c**4/8 + 3*c**3/4 - 15*c**2/4 + 21. Solve m(n) = 0 for n.
-5, -2, 0, 1
Let u(t) = t + 1. Let h(i) = 3*i + 5. Let d(v) = -h(v) + 2*u(v). Let k be d(-7). What is x in -15/2*x**5 + 0*x - 9/2*x**k + 0 + 0*x**2 + 3*x**3 = 0?
-1, 0, 2/5
Let g(j) be the first derivative of -5*j**6/3 - 19*j**5 - 15*j**4/4 + 265*j**3/3 - 55*j**2/2 - 90*j - 507. Find n such that g(n) = 0.
-9, -2, -1/2, 1
Let b(i) = -8*i**3 - 36*i**2 - 68*i - 30. Let y(a) = -9*a**3 - 36*a**2 - 69*a - 30. Let m(g) = -6*b(g) + 5*y(g). Factor m(n).
3*(n + 1)**2*(n + 10)
Let z be (2/(-24))/((-1)/2). Suppose 0 = 2*j + 5*n - 30, 2*j + 3*j = 4*n + 9. Factor -1/3*k**3 + 1/6*k**j + 0*k**4 + 0 + 0*k**2 + z*k.
k*(k - 1)**2*(k + 1)**2/6
Let i(h) be the second derivative of 4*h**7/21 + 9*h**6/5 - 11*h**5/10 - 9*h**4/2 + 7*h**3/3 + 38*h. Let i(r) = 0. What is r?
-7, -1, 0, 1/4, 1
Determine c, given that 60*c**3 - 43*c**4 - 47*c**3 + 44*c**4 = 0.
-13, 0
Let m(c) = 25*c - 1300. Let a be m(52). Find r such that -2/19*r**4 + 8/19*r**3 + a*r - 8/19*r**2 + 0 = 0.
0, 2
What is k in -1/4*k**4 - 11/2*k + 121/4 + 11/2*k**3 - 30*k**2 = 0?
-1, 1, 11
Let y(m) be the second derivative of 1/70*m**5 - m**2 + 0*m**3 + 1/84*m**4 + 0 + m. Let t(a) be the first derivative of y(a). Suppose t(w) = 0. Calculate w.
-1/3, 0
Let t(b) be the first derivative of b**5/150 + b**4/15 + b**3/5 + 5*b**2 - 1. Let v(m) be the second derivative of t(m). Determine s so that v(s) = 0.
-3, -1
Let l(p) be the second derivative of 27*p**5/20 - 35*p**4/2 - 8*p**3 + 288*p. Factor l(s).
3*s*(s - 8)*(9*s + 2)
Suppose -10/13*k**2 - 72/13 - 58/13*k = 0. What is k?
-4, -9/5
Let q(t) be the third derivative of -t**7/50 + 11*t**6/150 - t**5/75 - 50*t**2. Factor q(h).
-h**2*(h - 2)*(21*h - 2)/5
Let b(n) = -14*n**3 + 4*n**2 + 2*n - 12. Let o(w) = 3*w**3 + w**2 + 1. Let u(q) = -b(q) - 4*o(q). Solve u(t) = 0.
-1, 1, 4
Let s(f) be the second derivative of 1/150*f**5 - 7/15*f**2 + 7/90*f**4 + 25*f - 1/45*f**3 + 0. Factor s(a).
2*(a - 1)*(a + 1)*(a + 7)/15
Suppose -4*o + 5*l + 28 = 0, -o + 7*l = 6*l - 6. Find m such that 1/7*m**3 + 1/7*m**o - 1/7*m - 1/7 = 0.
-1, 1
Let v be 2*(1 + (-1)/2). Suppose b - v = g, -6*g + g = 3*b - 35. Find y, given that -y - y + 3*y**5 + 4*y**2 + 0*y - y**b - 4*y**4 = 0.
-1, 0, 1
Let t(m) = -m**2 - 22*m - 82. Let z be t(-5). Let i(j) be the first derivative of 1/6*j**z - 10 - 1/2*j + 1/16*j**4 - 1/8*j**2. What is r in i(r) = 0?
-2, -1, 1
Let l(u) be the third derivative of -u**5/240 - 31*u**4/32 + 47*u**3/12 - 176*u**2. Factor l(h).
-(h - 1)*(h + 94)/4
Let 24/7*t + 47/7*t**3 + 1/7*t**5 + 13/7*t**4 + 0 + 59/7*t**2 = 0. Calculate t.
-8, -3, -1, 0
Let h = 15 + -11. Suppose -3*n = -o + 5, -3*n + h*o - 20 = 2*n. Determine u, given that 0*u + n - 2/7*u**2 + 2/7*u**3 = 0.
0, 1
Let a be 86/473 - 1/((-528)/113). Let k(r) be the second derivative of -a*r**4 - r - 1/2*r**2 + 0 - 11/12*r**3 - 9/160*r**5. Factor k(u).
-(u + 2)**2*(9*u + 2)/8
Suppose -46*t - 64*t = 0. Let x(r) be the first derivative of t*r + 0*r**3 + 1 - r**4 + 8/5*r**5 - 2/3*r**6 + 0*r**2. Factor x(m).
-4*m**3*(m - 1)**2
Let g = 22441 + -22439. Factor 2/9*q**3 + 98/9 - 26/9*q**g + 70/9*q.
2*(q - 7)**2*(q + 1)/9
Factor 1/4*t**2 - 79/2*t + 6241/4.
(t - 79)**2/4
Suppose 5*k + 7 = -2*l - 0*k, 3*k = -2*l - 1. Let z(n) be the second derivative of -1/6*n**l + 0 + 3*n - 2/3*n**3 - n**2. Factor z(y).
-2*(y + 1)**2
Let s(g) be the first derivative of 6/7*g + 1/21*g**3 + 1/2*g**2 - 1. Factor s(i).
(i + 1)*(i + 6)/7
Let r(s) be the third derivative of s**8/84 - 2*s**7/21 - s**6/30 + s**5/3 - 90*s**2. Factor r(b).
4*b**2*(b - 5)*(b - 1)*(b + 1)
Determine r, given that 2*r + 1/4*r**3 + 4 - 7/4*r**2 = 0.
-1, 4
Let x(w) be the second derivative of -1/10*w**5 + 1/18*w**4 + 0*w**3 + 12*w + 0 + 0*w**2 - 1/63*w**7 + 1/15*w**6. Factor x(z).
-2*z**2*(z - 1)**3/3
Let i(v) = -v**2 - 21*v - 18. Let b be i(-20). Suppose -14*h + 2 - 9 - 2*h**3 + 1 - 10*h**b = 0. What is h?
-3, -1
Let o be -6 + 7 + 4*(-3)/(-6). Factor -b**2 - b**2 + 11*b - 13*b + 6 + 2*b**o - 4.
2*(b - 1)**2*(b + 1)
Let r(u) be the first derivative of u**6/180 - 11*u**5/240 - u**4/16 - 31*u**3/3 - 16. Let p(b) be the third derivative of r(b). Suppose p(y) = 0. What is y?
-1/4, 3
Let l(g) = -g**4 - 2*g**3 + 6*g**2 + 8*g + 2. Let u(t) = -5*t**4 - 10*t**3 + 31*t**2 + 40*t + 11. Let p = 36 + -30. Let n(s) = p*u(s) - 33*l(s). Factor n(k).
3*k*(k - 2)*(k + 2)**2
Suppose h - 8 = -3*f, f + 77*h = 82*h - 8. Determine j, given that 3/4*j**f + 9/4*j + 3/2 = 0.
-2, -1
Let r(n) be the first derivative of 10/3*n**6 + 5/3*n**3 + 9*n**5 + 0*n**2 + 15/2*n**4 - 14 + 0*n. Suppose r(u) = 0. What is u?
-1, -1/4, 0
Suppose 18*u = -0*u. Let o(j) be the first derivative of 0*j + 2/35*j**5 + 1/14*j**4 - 4/21*j**3 + u*j**2 - 4. Factor o(s).
2*s**2*(s - 1)*(s + 2)/7
Determine g, given that 1/3*g + 1/6*g**2 - 4 = 0.
-6, 4
Let o(f) be the first derivative of 24 + 0*f**4 - 2*f - 2/5*f**5 + 0*f**2 + 4/3*f**3. Solve o(i) = 0.
-1, 1
Let n = -34 - -33. Let j be -3 + 1 - (5 + -1)*n. Solve -2/5 - 4/5*c - 2/5*c**j = 0 for c.
-1
Let l(h) = 4*h + 1. Let w(c) = -c. Let b(i) = -l(i) - 5*w(i). Let r be b(3). Factor -18 - j**2 + 21*j + j**r - 9*j - 2*j**2.
-2*(j - 3)**2
Let m(j) be the first derivative of j**7/4200 + j**6/450 - 14*j**3/3 + 18. Let g(d) be the third derivative of m(d). Factor g(h).
h**2*(h + 4)/5
Let j = 176 + -177. Let h be j + 5 + 8 + (-160)/15. Factor 2/3*r**2 + 0 + h*r.
2*r*(r + 2)/3
Let h(q) be the third derivative of -q**6/960 - 19*q**5/480 - 292*q**2. Factor h(j).
-j**2*(j + 19)/8
Let g(z) be the second derivative of -z**8/20160 + z**7/7560 + z**4 + 8*z. Let a(y) be the third derivative of g(y). Factor a(j).
-j**2*(j - 1)/3
Suppose -4*v = p - 4*p - 28, 0 = 3*v + 2*p - 4. Let q(i) be the first derivative of v - 14*i + 3*i**3 +