2*v**3/3 - 5. Let h(s) be the third derivative of n(s). Let h(w) = 0. What is w?
0, 1
Solve -72/7*n + 64/7 - 2/7*n**3 + 24/7*n**2 = 0 for n.
2, 8
Let t(c) = c**3 + 13*c**2 - c - 8. Let k be t(-13). What is u in 17/2*u**3 - 5/2*u**2 + 41/2*u**4 + 0 + 21/2*u**k - u = 0?
-1, -2/7, 0, 1/3
Suppose 0*c + 12 = 3*c. Factor 2*o**c + 0*o**2 - 4/11*o**3 + 0 + 0*o - 30/11*o**5.
-2*o**3*(3*o - 1)*(5*o - 2)/11
Suppose 3*t = 2 + 4. Let 9*w**2 + 7*w**t + 6 + 15*w + 3*w**2 - 13*w**2 = 0. What is w?
-2, -1/2
Let k(f) be the second derivative of -f**5/50 + f**4/5 - 4*f**3/5 + 8*f**2/5 - 5*f. Let k(g) = 0. What is g?
2
Let v(p) = -1. Let n(o) = -2*o**2 + 2*o + 4. Let c(r) = -n(r) - 4*v(r). What is h in c(h) = 0?
0, 1
Find b such that 8/13*b - 30/13*b**5 - 8/13 + 42/13*b**2 - 58/13*b**4 - 2/13*b**3 = 0.
-1, 2/5, 2/3
Let p = 218/7 - 30. Factor 0*t + 2/7*t**5 + 0 - p*t**4 + 10/7*t**3 - 4/7*t**2.
2*t**2*(t - 2)*(t - 1)**2/7
Factor -2/7*l - 1/7*l**3 + 3/7*l**2 + 0.
-l*(l - 2)*(l - 1)/7
Let j = 26/21 + -400/357. Let -j*r**4 + 0*r**3 + 2/17*r**2 + 0 + 0*r = 0. What is r?
-1, 0, 1
Let d(t) = -t**2 + 4*t + 7. Let s be d(5). Let p be 9/s*14/21. Suppose 0 + 2/3*l + 1/3*l**p - l**2 = 0. What is l?
0, 1, 2
Let z(i) = 2*i**2 + 3*i + 1. Let k be z(-2). Let -14 + 14 + 2*v**2 + v**4 - 3*v**k = 0. What is v?
0, 1, 2
Let h = 787068137/174802586 + 84/140291. Let y = h - 2/623. Factor y*s**2 + 6*s**3 + 0 + s + 5/2*s**4.
s*(s + 1)**2*(5*s + 2)/2
Suppose 5*z - 26 = -3*d, 5*d + 3*z = 29 - 7. Determine u, given that 46*u**4 + u**2 - 6*u + d*u + 25*u**2 + 0*u - 14*u**5 - 54*u**3 = 0.
0, 2/7, 1
Let v(l) be the first derivative of 3 + 1/6*l**4 + 0*l - 2/15*l**5 + 10/9*l**3 + l**2. Solve v(w) = 0 for w.
-1, 0, 3
Factor 8/3*f - 8/3 - 2/3*f**2.
-2*(f - 2)**2/3
Let y(c) be the first derivative of -4*c**5/15 + 3*c**4/4 + 2*c**3/9 - 3*c**2/2 + 2*c/3 - 9. Solve y(i) = 0 for i.
-1, 1/4, 1, 2
Let g(i) = -i**3 + 20*i**2 - 20*i + 22. Let r be g(19). Factor 1 + 3/2*z - z**r - 3/2*z**2.
-(z - 1)*(z + 2)*(2*z + 1)/2
Let c(n) be the second derivative of n**7/1260 + n**6/540 - n**5/180 - n**4/36 - n**3/2 - 2*n. Let z(h) be the second derivative of c(h). Factor z(j).
2*(j - 1)*(j + 1)**2/3
Let l be (-6)/(-5)*150/90. Factor 0*m - 8/9 + 2/9*m**l.
2*(m - 2)*(m + 2)/9
Let n(z) = z**2 - 2*z + 1. Suppose -2*s - 6 = -4*s. Let t be n(s). Factor -x + 2*x**4 - x**2 - x**4 + 0*x**t + 2*x**3 - x**3.
x*(x - 1)*(x + 1)**2
Let u(i) = i**2 - 8*i + 6. Let b(q) = q. Let h(d) = 12*b(d) + 4*u(d). Factor h(y).
4*(y - 3)*(y - 2)
Let h(c) = 3*c + 9. Let r be h(-12). Let b = 27 + r. Find a such that 0*a + b + 1/5*a**2 - 1/5*a**3 = 0.
0, 1
Let a(j) = 3*j**3 + 3*j**2 - 18*j - 36. Let i(y) = 6*y**3 + 6*y**2 - 35*y - 72. Let o(p) = -13*a(p) + 6*i(p). Find r such that o(r) = 0.
-2, 3
Let p be -1 + -1 + 5 + 0. Let b be p/12 - 22/(-8). Determine w so that 0*w**2 - 4/3*w + 4/3*w**b + 2/3 - 2/3*w**4 = 0.
-1, 1
Suppose 0*m - 6 = -3*m. Let d(q) = 4*q**4 + 9*q**3 + 7*q**2 - 2. Let t(k) = k**4 + k**3 - k - 1. Let a(n) = m*t(n) - d(n). Let a(y) = 0. What is y?
-2, -1, -1/2, 0
Suppose -5*g + 14 = -21. Factor 9*x**5 + g*x**4 - 3*x**4 + 2*x**4 + 6*x**4 + 3*x**3.
3*x**3*(x + 1)*(3*x + 1)
Let g(h) = -5*h**2 - 24*h + 5. Let k be g(-5). Let l(f) be the first derivative of -2/3*f**3 + 1/6*f**6 - 1/2*f**2 + 2/5*f**5 + 4 + 0*f + k*f**4. Factor l(x).
x*(x - 1)*(x + 1)**3
Suppose 5*t + 5*l - 41 = -11, 0 = -l. Factor -t*a**2 + 0*a**3 + 4*a - 19*a**3 - 14*a**4 - 5*a**3.
-2*a*(a + 1)**2*(7*a - 2)
Let b = -4 + -3. Let t = b - -11. Determine w so that 3*w**2 + 3*w - w - 9*w**4 + 5*w**t - 1 - 4*w**3 = 0.
-1, 1/2
Let s(k) = -k**3 + 3*k**2 - 3*k + 1. Let r(f) = -f**2 + f. Let m be (-27)/(-21) + 2/(-7). Let v(w) = m*s(w) + 4*r(w). What is n in v(n) = 0?
-1, 1
Factor -15*v**3 - 24000 + 26*v**3 - 14*v**3 - 1000*v - 2600*v - 180*v**2.
-3*(v + 20)**3
Let j be (3/(-4))/(-2 - 1). Let y be 2 + ((-20)/(-8) - 4). Factor -1/4 - y*p - j*p**2.
-(p + 1)**2/4
Let n(g) = 6*g**4 - 32*g**3 + 10*g**2 - 6*g + 6. Let f(q) = -q**4 - q**3 + q**2 - q + 1. Let c(m) = 6*f(m) - n(m). Solve c(d) = 0 for d.
0, 1/6, 2
Let v(h) be the first derivative of 2*h**5/55 + 3*h**4/22 + 2*h**3/11 + h**2/11 + 8. Suppose v(y) = 0. What is y?
-1, 0
Let j(o) be the second derivative of -o**6/255 + o**4/34 - 2*o**3/51 - 6*o. Solve j(v) = 0.
-2, 0, 1
Let f(b) be the second derivative of b**5/20 + b**4/3 + b**3/3 - b**2/2 - 10*b. Let r be f(-3). Factor 1/2*y**3 + 0 - 1/2*y**4 + 1/2*y**r - 1/2*y.
-y*(y - 1)**2*(y + 1)/2
Let n be 8/6 - (-1)/(-3). Let h = n + 2. Suppose 2*v**h + v + 3*v - 4*v = 0. Calculate v.
0
Let t(d) be the third derivative of -3*d**6/8 - 11*d**5/2 - 95*d**4/6 - 20*d**3 + 15*d**2. Determine h, given that t(h) = 0.
-6, -2/3
Let o(b) be the third derivative of b**7/210 + b**6/20 + b**5/60 - b**4 + 8*b**3/3 - 8*b**2. Factor o(r).
(r - 1)**2*(r + 4)**2
Let o(f) be the third derivative of -f**8/20160 + f**7/2520 - f**6/720 - f**5/30 - f**2. Let m(j) be the third derivative of o(j). Solve m(x) = 0 for x.
1
Let k be ((-6)/10)/((-12)/40). Factor 10 + 1 - 5 + k*b**2 - 8*b.
2*(b - 3)*(b - 1)
Let -10/9*f**3 + 10/9*f**2 - 2/9*f**4 + 2/9*f**5 - 8/9 + 8/9*f = 0. Calculate f.
-2, -1, 1, 2
Let l(u) = -u**2 + 13*u - 9. Let x(n) = -n + 1. Let q(w) = 4*l(w) + 36*x(w). Factor q(a).
-4*a*(a - 4)
Let h(d) be the first derivative of -45*d**6/8 - 27*d**5/10 + 45*d**4/8 + 19*d**3/3 + 21*d**2/8 + d/2 + 26. Solve h(s) = 0.
-2/5, -1/3, 1
Factor -5*j**2 - 5*j**2 + 20*j + 5*j**2 - 20 + 0*j**2.
-5*(j - 2)**2
Let f(x) be the third derivative of -x**5/420 - x**4/84 - x**3/42 + 18*x**2. Solve f(a) = 0 for a.
-1
Let f be (2/(-2) - -1) + -6. Let n be (-8)/12 + (-4)/f. Find l such that 0*l**2 + n + 32/3*l**3 - 2/3*l = 0.
-1/4, 0, 1/4
Find w, given that 0*w**3 + 96/13*w**2 - 162/13*w**5 + 0 + 32/13*w - 216/13*w**4 = 0.
-2/3, 0, 2/3
Let v(a) be the second derivative of -a**5/60 + a**4/8 - a**3/3 - 2*a**2 + 4*a. Let w(r) be the first derivative of v(r). Factor w(j).
-(j - 2)*(j - 1)
Let x(t) be the second derivative of 0*t**2 - 2/15*t**6 + 2/5*t**5 + 0 + 0*t**3 - 1/3*t**4 - 7*t. Determine c, given that x(c) = 0.
0, 1
Factor 1/2 - 1/2*g**2 + 0*g.
-(g - 1)*(g + 1)/2
Let n be (-2)/(((-6)/(-7))/(-3)). Suppose 3*x = 4*z + 5, 0 = -x + 5*x - 2*z - 10. Factor x*s + s**2 + s - n*s**2.
-2*s*(3*s - 2)
Let z be (-2 - 24)*15/(-18). Let k = 22 - z. Factor -5/3*v - 10/3*v**2 - 1/3 - k*v**5 - 10/3*v**3 - 5/3*v**4.
-(v + 1)**5/3
Determine x, given that -3*x + 5*x + 4*x**3 + 11*x + 7*x - 16*x**2 - 8 = 0.
1, 2
Let t(d) be the second derivative of d**7/98 - d**6/42 - d**5/28 + 5*d**4/84 + d**3/21 + 8*d. Let t(w) = 0. Calculate w.
-1, -1/3, 0, 1, 2
Let w(c) be the first derivative of 11 + 2/5*c**3 - 2/5*c**4 + 2/25*c**5 + 4/5*c**2 - 8/5*c. Factor w(l).
2*(l - 2)**2*(l - 1)*(l + 1)/5
Let j(a) = -2*a**3 - 4*a**2 + 8*a**3 + 2*a**3 + 2*a**2 + 5. Let p(v) = v**3 - v**2 + 1. Let g(m) = -j(m) + 5*p(m). What is q in g(q) = 0?
-1, 0
Factor 1/6 - 2/3*r**3 + 1/6*r**4 + r**2 - 2/3*r.
(r - 1)**4/6
Let y(n) = 15*n**2 + 56*n + 11. Let b(g) = 3*g**2 + 11*g + 2. Let x(f) = -11*b(f) + 2*y(f). Factor x(d).
-3*d*(d + 3)
Factor -12*q**2 - 8/5 + 68/5*q.
-4*(q - 1)*(15*q - 2)/5
Suppose 3*i = 2*u - 34, -2*u + 7*u + 40 = -5*i. Let p(q) = -q - 8. Let r be p(i). Solve 4*v**r - 5 - 3*v + 2 + 4 - 2*v = 0 for v.
1/4, 1
Let l(v) = 33*v**3 - 13*v**4 - 15*v - 8*v**4 + 4 + 8. Let t(y) = -5*y**4 + 8*y**3 - 4*y + 3. Let n(h) = 2*l(h) - 9*t(h). What is z in n(z) = 0?
-1, 1
Let f(m) = -23*m**5 - 60*m**4 - 110*m**3 - 60*m**2. Let z(u) = -11*u**5 - 30*u**4 - 55*u**3 - 30*u**2. Let t(q) = 6*f(q) - 13*z(q). What is j in t(j) = 0?
-3, -2, -1, 0
Let v = 423 - 421. Factor -4*f**3 + 1/2*f**4 + 8 - 16*f + 12*f**v.
(f - 2)**4/2
Let k(n) be the first derivative of -1/15*n**3 - 1/20*n**4 + 1/5*n + 1 + 1/10*n**2. Let k(q) = 0. Calculate q.
-1, 1
Let j(u) be the third derivative of -5*u**8/224 - 11*u**7/70 - 3*u**6/80 + 11*u**5/20 + u**4/2 + 30*u**2. Solve j(h) = 0.
-4, -1, -2/5, 0, 1
Suppose 0 = 3*l - c + 2 - 5, 2*l - 3*c = -5. Let -k + 4 + 8*k + l*k**2 - k = 0. Calculate k.
-2, -1
Let z(m) = m + 9. Let r be z(-3). Let g be (-46)/(-14) - (r + -3). Let 0 + g*q**4 - 2/7*q - 6/7*q**3 + 6/7*q**2 = 0. Calculate q.
0, 1
Find o, given that 3/2*o**4 + 9/2*o - 9/2*o**3 + 3/2*o**2 - 3 = 0.
-1, 1, 2
Let j be