ative of t**4/4 + 13*t**3/3 - 13. Solve n(w) = 0.
-13, 0
Let 0 - 32/3*p - p**4 + 12*p**2 + 20/3*p**3 = 0. What is p?
-2, 0, 2/3, 8
Suppose 0 = 88*a - 289 + 25. Suppose 14/13*r - 32/13*r**a - 2/13 - 16/13*r**2 = 0. What is r?
-1, 1/4
Let q(v) be the second derivative of -v**5/4 + 5*v**4/2 + 40*v**3/3 + 17*v + 4. Let q(j) = 0. What is j?
-2, 0, 8
Factor 34 - 59 - 82*p - 2*p**2 + 12 - 67.
-2*(p + 1)*(p + 40)
Let k(b) = -3*b + 1. Let o(g) = 9*g**2 - 14*g + 3. Let w(z) = k(z) - o(z). Factor w(r).
-(r - 1)*(9*r - 2)
Let z be (584/32)/((-3)/(-12)). Find m, given that -m**3 + 75 - z + 3*m + 0*m = 0.
-1, 2
Suppose -5*f = 23 - 3. Let x(q) = 7*q**3 - 4*q**2 - 3*q - 4. Let d(r) = -r**3 + r**2 + 1. Let l(p) = f*d(p) - x(p). Factor l(w).
-3*w*(w - 1)*(w + 1)
Let c(b) be the first derivative of -40500*b**5 + 108000*b**4 - 115200*b**3 + 61440*b**2 - 16384*b - 73. Suppose c(u) = 0. Calculate u.
8/15
Let g(w) be the third derivative of w**8/112 + w**7/14 + 3*w**6/20 - w**5/10 - 7*w**4/8 - 3*w**3/2 + 164*w**2. Factor g(s).
3*(s - 1)*(s + 1)**3*(s + 3)
Let l(i) be the third derivative of -2/3*i**3 - 9*i**2 + 0 - 1/3*i**4 + 0*i - 1/15*i**5. Solve l(n) = 0 for n.
-1
Suppose 5*b = -4*i + 36, 3 = b + 5*i - 21. Suppose -3*d - 5*w = 1 + 3, b = -2*d - 4*w. Suppose -50/3 + 20/3*u - 2/3*u**d = 0. Calculate u.
5
Let u be (3/(-1))/((-15)/(-10)). Let r be (1 + u)/((-1)/3). Solve -15*t**3 - 1 - 3*t**4 + 2*t + 4*t**4 + 13*t**r = 0 for t.
-1, 1
Suppose -20 = -7*w + 2*w. Suppose -w*i + 10*i - 24 = 0. Solve -18/5*q - 2/5*q**5 - 28/5*q**3 - 4/5 - 12/5*q**i - 32/5*q**2 = 0.
-2, -1
Let o = 161928/5 - 32385. Solve 1/5*p**3 - 1/5*p + 1/5*p**4 + 2/5 - o*p**2 = 0 for p.
-2, -1, 1
Let t(v) be the second derivative of -7/10*v**6 - 2*v**3 + 23*v - 3/4*v**5 + 0 + 0*v**2 + 4*v**4. Suppose t(n) = 0. What is n?
-2, 0, 2/7, 1
Factor 28/9*n - 2/9*n**2 - 16/3.
-2*(n - 12)*(n - 2)/9
Let u(h) = 5*h**3 - 13*h**2 - 8*h - 8. Let q(y) = -6*y**3 + 16*y**2 + 9*y + 8. Let z(f) = -6*q(f) - 7*u(f). Determine s, given that z(s) = 0.
-1, 2, 4
Factor 520*d**2 + 9604 - 232*d - 150*d**3 + 4*d**4 + 656*d**2 - 5256*d + 38*d**3.
4*(d - 7)**4
Find f such that 128*f**3 - 125*f**3 - 4*f**5 + f**5 = 0.
-1, 0, 1
Suppose -33 = 4*f - 41. Determine s, given that s + 4 + 0*s + s**3 - 4*s**f + 2*s - 4*s = 0.
-1, 1, 4
Let x(h) = -34*h. Let b be x(0). Let l(j) be the second derivative of 2/15*j**2 - 1/90*j**4 + b - 1/45*j**3 + 5*j. Find g such that l(g) = 0.
-2, 1
Let p(t) be the first derivative of t**7/210 + 2*t**6/45 + 2*t**5/15 - 11*t**3/3 - 4. Let r(s) be the third derivative of p(s). Factor r(x).
4*x*(x + 2)**2
Let v(z) be the first derivative of 6*z**5/25 - 3*z**4/5 - 8*z**3/5 + 6*z**2/5 + 18*z/5 - 70. Factor v(j).
6*(j - 3)*(j - 1)*(j + 1)**2/5
Let d(v) be the second derivative of 0 + 1/42*v**4 - 9*v + 0*v**3 + 0*v**2 + 1/147*v**7 - 1/105*v**6 - 1/70*v**5. Factor d(r).
2*r**2*(r - 1)**2*(r + 1)/7
Let x(t) = -3*t + 59. Let y be x(19). Let j(u) be the second derivative of -y*u - 1/8*u**4 - 27/4*u**2 - 3/2*u**3 + 0. Suppose j(o) = 0. What is o?
-3
Let p = -9 + 16. Suppose 3*d + 6 = -3*u, -4*d - 3*u + 2 - p = 0. Solve -4*a**3 - d - 4*a**2 + 4 - 3 = 0.
-1, 0
Find i, given that 0*i + 0 - 30/13*i**4 - 8/13*i**2 + 64/13*i**3 = 0.
0, 2/15, 2
Determine s so that -329 - 2*s**4 + 24*s**3 - 8*s - 4*s**3 + 6*s**2 - 272*s - 63 = 0.
-2, 7
Let f be (1/(-2))/(2/28). Let t be (-1)/(-4)*(f + 15). Suppose y**3 - 4*y - 6*y**4 + 6*y**2 + y**3 + t*y**3 = 0. Calculate y.
-1, 0, 2/3, 1
Let q(j) be the first derivative of 3*j**5/5 - 18*j**4 + 118*j**3 + 468*j**2 + 507*j + 116. Factor q(h).
3*(h - 13)**2*(h + 1)**2
Let j(s) be the first derivative of -s**6/10 - 54*s**5/25 - 243*s**4/20 - 100. Factor j(h).
-3*h**3*(h + 9)**2/5
Let d(x) be the second derivative of x**8/16800 + x**7/6300 - x**6/900 + 5*x**4/6 - 25*x. Let b(i) be the third derivative of d(i). Suppose b(z) = 0. What is z?
-2, 0, 1
Let f(o) be the second derivative of o**6/15 + 3*o**5/5 + 3*o**4/2 - 99*o. Factor f(c).
2*c**2*(c + 3)**2
Let c be ((-4)/(4 + 0))/(-1). Find z such that -4 + c + z**2 + z - 3*z = 0.
-1, 3
Let i(x) be the first derivative of x**2 + 0*x + 1 + 4*x**3 + 9/2*x**4. Factor i(d).
2*d*(3*d + 1)**2
Let g = -625/6 + 317/3. Factor -r**3 + 1/2*r**4 - g*r**2 - 2 + 4*r.
(r - 2)*(r - 1)**2*(r + 2)/2
Factor 37*i**3 + 0 - 9/2*i**4 - 80*i**2 + 16*i.
-i*(i - 4)**2*(9*i - 2)/2
Let y(n) be the third derivative of n**7/75 + 9*n**6/100 + 4*n**5/25 - n**4/15 + 277*n**2. Factor y(u).
2*u*(u + 2)**2*(7*u - 1)/5
Let d(v) = -4*v + 10. Let s be d(3). Let h be (-5)/(-2) + 1/s. Factor 2/3*x - 2/3*x**3 + x**4 - 4/3*x**h + 1/3.
(x - 1)**2*(x + 1)*(3*x + 1)/3
Let j(c) be the first derivative of -21 + 1/6*c**3 + 1/2*c**2 + 1/4*c - 1/4*c**4 - 3/20*c**5. Solve j(v) = 0 for v.
-1, -1/3, 1
Let j = -57 - -22. Let i = -33 - j. What is t in -t**2 - t + t + 4*t**i = 0?
0
Let w(q) = -q + q + 2*q - 15. Let b be w(9). Let 3*g + g**2 + g - 20*g**b + 12*g**4 + 3*g**2 = 0. What is g?
-1/3, 0, 1
Let r(k) be the first derivative of -6/7*k + 11 + 4/7*k**2 - 2/21*k**3. Factor r(a).
-2*(a - 3)*(a - 1)/7
Suppose 1 = 6*c + 7. Let i(g) = 2*g**3 - 20*g**2 + 23*g - 3. Let v(q) = q**3 - q + 1. Let w(l) = c*i(l) - 3*v(l). Factor w(k).
-5*k*(k - 2)**2
Let n(q) be the third derivative of -q**8/672 + q**6/80 + q**5/60 + 2*q**2 - 8. Factor n(t).
-t**2*(t - 2)*(t + 1)**2/2
Let f(y) be the third derivative of -2/25*y**5 + 4/15*y**4 + 0*y**3 + 1/150*y**6 + 0 - 42*y**2 + 0*y. Find x, given that f(x) = 0.
0, 2, 4
Let g(m) be the third derivative of -m**8/84 + 2*m**7/21 + 7*m**6/30 - m**5/3 - m**4 - 184*m**2. Determine q so that g(q) = 0.
-1, 0, 1, 6
Let n = -4961 - -1145993/231. Let j = 683/1155 + n. Factor j - 3/5*i**2 + 3/5*i - 3/5*i**3.
-3*(i - 1)*(i + 1)**2/5
Let i(r) be the second derivative of -r**4/36 + r**3/3 - 3*r**2/2 + 3*r. Factor i(a).
-(a - 3)**2/3
Let t be ((-504)/(-99) - (2 + -5)) + 6 + -13. Solve 2/11*m**2 - 2/11*m - t = 0.
-2, 3
Let w(y) be the third derivative of 0 + 1/48*y**4 + 0*y + 1/240*y**6 - 1/60*y**5 + 37*y**2 + 0*y**3. Suppose w(z) = 0. Calculate z.
0, 1
Let f be (63/18)/(1/25). Let i = f - 86. Factor -3/2*n + 3 - i*n**2.
-3*(n - 1)*(n + 2)/2
Let s(i) be the third derivative of -i**5/12 - 205*i**4/24 - 96*i**2. Factor s(q).
-5*q*(q + 41)
Let x be (-8)/(-96)*6*(-27)/(-36). Factor -9/8*o**4 - x*o**2 + 0 + 9/8*o**3 + 3/8*o**5 + 0*o.
3*o**2*(o - 1)**3/8
Let m(d) = -2*d**2 - 6*d - 4. Let y = 64 - 61. Let g(a) = -a**2 - 5*a - 4. Let j(q) = y*g(q) - 2*m(q). Factor j(h).
(h - 4)*(h + 1)
Suppose 2*r = -a + 2, 7*a + 4*r = 3*a + 12. Let 0*s**a + 0*s + 0 - 4/7*s**5 - 8/7*s**2 + 12/7*s**3 = 0. What is s?
-2, 0, 1
Let o(x) = -3*x**2 - 7*x + 6. Let g be o(1). Let y be (-2)/(-2 - (14 + 16/g)). Factor -1/6*l - 1/3 + y*l**2.
(l - 2)*(l + 1)/6
Let q(m) be the third derivative of 0*m**3 + 0*m**4 + 0 + 1/525*m**7 + 0*m + 1/75*m**5 + 34*m**2 - 1/100*m**6. Factor q(c).
2*c**2*(c - 2)*(c - 1)/5
Let r(l) be the third derivative of -l**8/10080 - l**7/3780 + 5*l**4/8 + 10*l**2. Let v(d) be the second derivative of r(d). Suppose v(y) = 0. Calculate y.
-1, 0
Solve 10 + 13 - 2*x**4 - 18*x**2 + 14*x - 3 - 14*x**3 = 0.
-5, -2, -1, 1
Let x(h) be the second derivative of 392*h**6/15 - 462*h**5/5 + 529*h**4/12 + 110*h**3 + 50*h**2 + 132*h. Find s such that x(s) = 0.
-1/4, 10/7
Let z(a) = 2*a**5 + 7*a**4 - 2*a**3 + 3*a**2 - 5*a - 5. Let r(s) = 3*s**5 + 9*s**4 - 3*s**3 + 3*s**2 - 6*s - 6. Let t(w) = 5*r(w) - 6*z(w). Solve t(o) = 0.
-1, 0, 1
Suppose 2*n = -0*a - a - 36, 0 = -4*n - 16. Let b be (a/(-12) + -2)*1. Find j such that -1/3*j + 0 - b*j**3 - 2/3*j**2 = 0.
-1, 0
Let r(q) be the first derivative of 35/2*q**2 - 1 + 10*q + 25/3*q**3. Find c such that r(c) = 0.
-1, -2/5
Let f(m) = 3*m**3 - 185*m**2 - 4411*m + 4603. Let n(g) = -2*g**3 + 92*g**2 + 2205*g - 2301. Let k(z) = 3*f(z) + 5*n(z). Factor k(v).
-(v - 1)*(v + 48)**2
Let r(z) be the third derivative of z**6/24 - 23*z**5/12 - 245*z**4/24 - 125*z**3/6 - 8*z**2 - 11. Factor r(j).
5*(j - 25)*(j + 1)**2
Find t such that 5408/17 + 5616/17*t + 210/17*t**2 + 2/17*t**3 = 0.
-52, -1
Let j(n) = -2*n**2 - 4*n + 30. Let q be j(-5). Suppose q = -4*x - x. Let 0*p**2 - 2/7*p + 2/7*p**3 + x = 0. Calculate p.
-1, 0, 1
Let u(a) = 6*a**3 - a**2 + a - 1. Let k(o) = -16*o**3 - 47*o**2 + 38*o + 15. L