d derivative of b**6/180 - 7*b**5/60 - 10*b**3/3 + 21*b**2. Let f(i) be the first derivative of j(i). Find d such that f(d) = 0.
0, 7
Let z(n) = -33*n**2 + 16*n**2 - 13 + 18*n**2 - 14*n. Let q be z(15). Factor 0 + 0*d - 2/9*d**q.
-2*d**2/9
Let q(v) be the first derivative of -v**3/15 + 2*v**2/5 - 3*v/5 - 135. Factor q(c).
-(c - 3)*(c - 1)/5
Factor 0 - 27/4*x**5 - 45/2*x**4 - 21*x**3 - 6*x**2 + 0*x.
-3*x**2*(x + 2)*(3*x + 2)**2/4
Determine m so that 6/5*m - 3/5*m**2 + 0 = 0.
0, 2
Let p be (-98)/(-392) + (-6)/88. Let -2/11*d**2 - p*d**4 - 4/11*d**3 + 0*d + 0 = 0. Calculate d.
-1, 0
Let h(v) be the second derivative of -15*v + 1/84*v**7 + 0 + 1/40*v**5 + 0*v**2 - 1/6*v**3 - 1/8*v**4 + 1/20*v**6. Factor h(m).
m*(m - 1)*(m + 1)**2*(m + 2)/2
Let n = -84 + 84. Let p(y) be the first derivative of -4 + 0*y + 4/15*y**5 + n*y**2 + 1/9*y**3 - 5/12*y**4. Factor p(w).
w**2*(w - 1)*(4*w - 1)/3
Let w(r) be the first derivative of -2*r**3/3 + 8*r + 59. Suppose w(k) = 0. Calculate k.
-2, 2
Let m be (3 + (-6)/4)/(9/12). Suppose -5*w - 4*s = -19, 5*s = m*w - 0 - 1. What is l in 3/5*l**2 + 0 + 0*l + 0*l**w - 9/5*l**4 + 6/5*l**5 = 0?
-1/2, 0, 1
Let h(f) be the third derivative of -2*f**7/21 + 2*f**6/5 + 11*f**5/15 - f**4 + 561*f**2. Factor h(w).
-4*w*(w - 3)*(w + 1)*(5*w - 2)
Factor -144/5*i - 4312/5*i**3 + 5488/5*i**4 + 0 - 2401/5*i**5 + 1344/5*i**2.
-i*(7*i - 6)**2*(7*i - 2)**2/5
Let v(g) be the third derivative of 13*g**6/1140 - 27*g**5/95 + 45*g**4/19 - 72*g**3/19 + 216*g**2. Determine t, given that v(t) = 0.
6/13, 6
Let s(u) be the third derivative of -u**6/24 + 7*u**5/12 - 55*u**4/24 + 25*u**3/6 - 399*u**2. Factor s(f).
-5*(f - 5)*(f - 1)**2
What is u in -488/9*u**2 - 352/9*u**3 - 40/9 + 28/9*u**5 - 28*u - 16/3*u**4 = 0?
-1, -2/7, 5
Suppose 0 = 7*f - 28 + 14. Let q(d) be the second derivative of 0 - 1/18*d**4 + 1/9*d**3 - 7*d + 2/3*d**f. Factor q(m).
-2*(m - 2)*(m + 1)/3
Let t be -4*18/(-16)*(-14)/(-84). Find p, given that 3/2*p**4 - 3/4*p**3 + 0*p**2 - t*p**5 + 0*p + 0 = 0.
0, 1
Let m(n) be the second derivative of 11/24*n**4 + 0*n**5 + 2*n**2 - 1/60*n**6 - 3/2*n**3 + 0 - 10*n. Factor m(s).
-(s - 2)*(s - 1)**2*(s + 4)/2
Let x(d) be the second derivative of -d**5/360 + d**3/9 + 3*d**2 - 6*d. Let a(m) be the first derivative of x(m). Factor a(n).
-(n - 2)*(n + 2)/6
Let v = 1067 + -5334/5. Let t(w) be the first derivative of 1/4*w**4 - w**3 - 1/2*w**2 + v*w**5 + 5 + 2*w. Find j such that t(j) = 0.
-2, -1, 1
Factor -20/9*p - 2 - 2/9*p**2.
-2*(p + 1)*(p + 9)/9
Let x(i) be the first derivative of 0*i**3 + 3/20*i**5 + 0*i + 0*i**4 + 7 + 0*i**2. Factor x(u).
3*u**4/4
Suppose 10*q + 4*q = -770. Let o = -53 - q. Suppose -2/9*d**3 + 8/9*d**o + 0 - 8/9*d = 0. What is d?
0, 2
Let d be 9/30*2/(-9)*-12. Let i(u) be the first derivative of 2*u**2 + 8/3*u**3 - 4*u - 2*u**4 + 3 - d*u**5 + 2/3*u**6. Suppose i(s) = 0. What is s?
-1, 1
Let l(o) be the second derivative of -1/10*o**4 + 11*o + 0*o**2 + 0 - 1/150*o**5 - 8/45*o**3. Factor l(b).
-2*b*(b + 1)*(b + 8)/15
Let r(d) be the second derivative of d**6/40 + 417*d**5/80 + 3243*d**4/8 + 25921*d**3/2 + 36501*d**2 + 8*d + 18. Find u, given that r(u) = 0.
-46, -1
Let p(f) = -2*f**3 - 3*f**2 + 12*f. Let w(i) = i**3 - i**2. Let d(m) = -5*p(m) - 5*w(m). Factor d(r).
5*r*(r - 2)*(r + 6)
Suppose 3*n + 2*t - 9 - 6 = 0, -n = -2*t + 3. Factor -6*d**5 - d**5 + 2*d**5 + 875*d + 625 + 65*d**4 + 33*d**3 - 263*d**n - 50*d**2.
-5*(d - 5)**3*(d + 1)**2
Let n(l) be the first derivative of 12500*l**6/9 + 1000*l**5 - 625*l**4/2 - 2900*l**3/9 + 20*l**2 + 48*l + 57. What is j in n(j) = 0?
-2/5, 3/10
Let a(c) be the third derivative of -c**6/280 + 2*c**5/35 - c**4/8 - 41*c**2 + 3*c. Factor a(w).
-3*w*(w - 7)*(w - 1)/7
Let i(v) = v**3 + v**2 + v - 2. Let q(a) = 14*a**3 + 4*a - 8. Let t(c) = -4*i(c) + q(c). Factor t(u).
2*u**2*(5*u - 2)
Factor 9/5*k**3 - 9/5*k + 3/5 - 3/5*k**2.
3*(k - 1)*(k + 1)*(3*k - 1)/5
Let j = -8127 + 8127. Let t be 0/(-4*2/(-4)). Find p, given that 0*p**2 + t + 0*p**3 + j*p + 1/6*p**4 = 0.
0
Let j(h) be the second derivative of -21*h**7/2 + 623*h**6/10 + 642*h**5/5 - 402*h**4 + 328*h**3 - 120*h**2 + 295*h. Solve j(u) = 0.
-2, 2/7, 2/3, 5
Let h be 4 - (-3)/18*-6. Solve -6*n**h + n**3 + 10*n**3 + 5 + 3*n - 8*n - 5*n**2 = 0.
-1, 1
Let q(s) be the second derivative of -1/6*s**2 + 0 + 0*s**3 + 1/36*s**4 + 11*s. Solve q(u) = 0 for u.
-1, 1
Let f(x) = 8*x**2 - 147*x + 292. Let u(p) = -6*p**2 + 146*p - 288. Let c(v) = 2*f(v) + 3*u(v). Factor c(y).
-2*(y - 70)*(y - 2)
Let t(s) = 4*s**4 - s**3 - 3*s + 5. Suppose 5*f = f - 16. Let a(i) = -3*i**4 + i**2 + 2*i - 4. Let u(p) = f*t(p) - 5*a(p). Factor u(j).
-j*(j - 2)*(j - 1)**2
Let r(g) be the third derivative of 0*g**3 - g**2 - 1/42*g**7 + 0 + 0*g + 3/20*g**6 - 1/3*g**4 - 1/5*g**5. What is n in r(n) = 0?
-2/5, 0, 2
Suppose -4*r = d - 17, 2*d - 19 = 17*r - 20*r. Suppose 0 + r*g**2 + 0*g + 9/4*g**5 - 3*g**3 - 15/4*g**4 = 0. What is g?
-1, 0, 2/3, 2
Let x(g) be the second derivative of -3*g**5/20 - 7*g**4/2 - 35*g**3/2 - 33*g**2 + 6*g - 2. Factor x(n).
-3*(n + 1)*(n + 2)*(n + 11)
Determine v, given that -300 - 32*v**3 - 26*v**3 - 2*v**5 + 70*v + 5*v**5 - v**5 - 8*v**4 + 308*v**2 - 14*v**3 = 0.
-6, -1, 1, 5
Let k be (-1661)/(-1364) - (-1)/31. Find d such that 1/4*d**3 - k*d**2 + 0 + 3/2*d = 0.
0, 2, 3
Let d(m) be the second derivative of m**6/5 - 31*m**5/20 + 47*m**4/12 - 25*m**3/6 + 3*m**2/2 - 99*m. Factor d(o).
(o - 3)*(o - 1)**2*(6*o - 1)
Let m(q) = 4*q**2 + 2*q - 1. Let v(h) = h. Let o = 20 + -23. Let c(y) = o*m(y) + 15*v(y). Factor c(n).
-3*(n - 1)*(4*n + 1)
Let p = 22/5 - 4. Let x be 52/(-65)*(-3)/12. Solve 0 - p*f - x*f**2 = 0 for f.
-2, 0
Let o(a) = 60*a**4 + 275*a**3 + 240*a**2. Let z(y) = 5*y**4 + 23*y**3 + 20*y**2. Let x(g) = -3*o(g) + 35*z(g). Find d such that x(d) = 0.
-2, 0
Let d(x) = -21*x - 1. Let v be d(-4). Find f such that f**2 - 1 + v*f**3 - f - 2*f - 80*f**3 = 0.
-1, -1/3, 1
Let j(c) = -c**2 + c - 1. Let n(s) = 110*s - s**3 - 51*s - 56*s - 3*s**2 - 3. Let w(v) = -6*j(v) + 2*n(v). Suppose w(f) = 0. Calculate f.
0
Determine o so that -220*o**3 + 3*o**4 + 13604 + 0*o**4 - 20160*o + 5596 + 5772*o**2 - 32*o**3 = 0.
2, 40
Let -14/3*s**2 + 10/3*s**3 - 4*s + 14/3*s**4 + 2/3*s**5 + 0 = 0. What is s?
-6, -1, 0, 1
Suppose 4*s = -3*k + 7 + 16, 4*s = 3*k - 7. Factor 1/3*y**3 + 5/3*y + 2/3 + 4/3*y**s.
(y + 1)**2*(y + 2)/3
Let t be (2/(-12))/(76/(-342)). Suppose -7/4*q**5 + 0 + 3*q**4 + 0*q - t*q**3 - 1/2*q**2 = 0. Calculate q.
-2/7, 0, 1
Let q be (-1)/(((-5)/(-7))/5). Let l(s) = s**2 + 6*s - 7. Let a be l(q). Factor a*f**3 + 30 + 2*f**3 - 2*f**5 - 30.
-2*f**3*(f - 1)*(f + 1)
What is l in 3*l**3 + 8*l + 0*l - 4*l + 2*l + 21*l**2 + 6*l - 36 = 0?
-6, -2, 1
Let h(y) = y**3 + 2*y**2 - 494*y - 1471. Let n be h(-3). Factor 0*q - 2/9*q**3 + n*q**2 + 0.
-2*q**2*(q - 9)/9
Let v = 1 - -2. Suppose 6 = -x + v*x. Factor -5*o**4 - 3*o**3 + 3*o**2 + 3*o**4 + x*o + 3*o**4 - 4*o**4.
-3*o*(o - 1)*(o + 1)**2
Let j = -447 + 450. Let q(n) be the second derivative of 0*n**2 + 3/40*n**5 + 0*n**4 - 5*n - 1/4*n**j + 0. Factor q(v).
3*v*(v - 1)*(v + 1)/2
Suppose 3*p = 2*o + 10, -p = -112*o + 114*o + 2. Let l be 2 + 14/10 + -2. What is q in 16/5*q**p - l*q**3 + 2/5 - 11/5*q = 0?
2/7, 1
Let t(o) be the first derivative of -4*o**3/3 + 30*o**2 - 56*o + 32. Factor t(d).
-4*(d - 14)*(d - 1)
Let p = 10383 - 51907/5. Factor -6/5*o**3 + 0 + 0*o**2 + p*o**4 - 3/5*o**5 + 1/5*o.
-o*(o - 1)**3*(3*o + 1)/5
Let d(g) = -2*g**4 + 48*g**3 + 65*g**2 + 5*g. Let y(s) = s**4 - 24*s**3 - 31*s**2 - 2*s. Let p(a) = 2*d(a) + 5*y(a). Solve p(x) = 0 for x.
-1, 0, 25
Factor 5*g**3 - 30*g - 13*g**3 + 22*g - 4*g**4 + 10*g**3 + 3*g**4 + 4*g**2.
-g*(g - 2)**2*(g + 2)
Let f(k) be the third derivative of k**5/150 - 16*k**3/15 + 78*k**2 - 2*k. Find u such that f(u) = 0.
-4, 4
Let q(y) = 2*y**2 - 82*y - 111. Let r(j) = j**2 - j - 11. Let g(x) = -q(x) + 3*r(x). Let g(c) = 0. What is c?
-78, -1
Suppose 3*b + 3 = 3*a, -1 = -2*b + 5*b - a. Let c(m) be the first derivative of b*m**4 + 5*m + 6*m**2 - 10*m - 3 - m**4 + 13*m. Factor c(x).
-4*(x - 2)*(x + 1)**2
Let l be 7 - (-4)/(-8)*6. Suppose l = 2*r - 4. What is d in 3*d**r - 3*d + 9 - 9 - 3*d**2 + 3*d**3 = 0?
-1, 0, 1
Suppose w = -3*k + 10, -6*k + 4*w + 11 = -k. Let 7*a - a**2 + k*a + 14*a**2 + 5 - 8*a*