4/4 - 13*t**3/6 - 5*t**2 - 2*t - 8. Suppose a(v) = 0. Calculate v.
-1, 2, 5
Let k(v) = -2*v**2 - 15*v - 10. Let c = 3 + -1. Let f(g) = -10 - g**c - 11*g - 2*g**2 - 4*g. Let m(w) = -3*f(w) + 2*k(w). Find s, given that m(s) = 0.
-2, -1
Let t(n) be the first derivative of -82*n**5/75 + 8*n**4/3 - 74*n**3/45 - 2*n**2/15 + 56. What is b in t(b) = 0?
-2/41, 0, 1
Let l be ((-4)/8)/((-3)/(-12)*-7). Factor 0 - 2/7*a**2 - l*a**3 + 0*a.
-2*a**2*(a + 1)/7
What is j in -1/3*j**2 - 1/6*j**3 + 0*j + 0 = 0?
-2, 0
Suppose 2*h = -3*n + 19, -3*n + 23 = 6*h - 2*h. Let s(u) be the first derivative of 0*u + 1/3*u**3 + 0*u**h - 5 - 1/4*u**4. Factor s(k).
-k**2*(k - 1)
Let x(f) be the second derivative of -f**6/70 - 9*f**5/28 - 27*f**4/28 - 13*f**3/14 + 78*f. Factor x(g).
-3*g*(g + 1)**2*(g + 13)/7
Factor 0*u**2 + 0*u - 2/9*u**3 + 0*u**4 + 0 + 2/9*u**5.
2*u**3*(u - 1)*(u + 1)/9
Let k(c) = c**2 - 3*c - 26. Let v be k(-4). Let l be 20/(-6)*1/(-5). Find p such that 0 + 2/3*p + l*p**v = 0.
-1, 0
Suppose 3*x = 8*x + 4*b - 30, 2*x + 4*b = 12. Let c(y) be the third derivative of -1/8*y**4 + 7*y**2 + 0 + 0*y**3 - 1/40*y**x + 0*y - 1/10*y**5. Factor c(a).
-3*a*(a + 1)**2
Let b(z) = 11*z**3 - z + 5. Let j be -3*39/(-9) + -1. Let u = 30 - j. Let g(q) = -39*q**3 + 3*q - 18. Let i(y) = u*b(y) + 5*g(y). Factor i(p).
3*p*(p - 1)*(p + 1)
Let x(g) be the third derivative of 3*g**6/40 - 41*g**5/5 + 2295*g**4/8 - 729*g**3 - 25*g**2 - 5. Factor x(j).
3*(j - 27)**2*(3*j - 2)
Suppose d**3 - 2998 + 31*d**2 - d**3 + 1677*d - 700 + 53*d**2 + d**3 = 0. What is d?
-43, 2
Suppose -79*y = -88*y + 243. Factor 48*h + 7/2*h**3 + 16 - y*h**2.
(h - 4)**2*(7*h + 2)/2
Let z(g) be the first derivative of g**4/3 + 20*g**3/3 + 50*g**2 - 4*g - 8. Let x(j) be the first derivative of z(j). Let x(t) = 0. What is t?
-5
Let a be -2*(-18 - (-424)/24). Factor -a*n**4 - 2*n**3 - 2/3*n - 2*n**2 + 0.
-2*n*(n + 1)**3/3
Factor 20523 + 43*p**2 + 398*p - 20*p**2 + 18677 - 21*p**2 + 162*p.
2*(p + 140)**2
Let u be -4*3*(-4)/24. What is v in 2 - u + 10*v + 0*v**2 + 5*v**2 = 0?
-2, 0
Let i(a) be the first derivative of a**6/900 - a**5/450 - a**4/180 + a**3/45 - 2*a**2 - 13. Let f(h) be the second derivative of i(h). Factor f(t).
2*(t - 1)**2*(t + 1)/15
Suppose 6*s - 5*s = -c + 4, -5*c + 3*s + 4 = 0. Suppose 0 = c*m - i - 7, 2*m + 3*i - 8 = 3. Factor 0*b + 0 + 1/4*b**m + 1/4*b**2 - 1/2*b**3.
b**2*(b - 1)**2/4
Let m(b) be the second derivative of -1/80*b**5 + 0 - 1/32*b**4 + 1/4*b**3 + 7/2*b**2 + 2*b. Let r(o) be the first derivative of m(o). Factor r(w).
-3*(w - 1)*(w + 2)/4
Let d = -143879/120 + 1199. Let f(n) be the third derivative of 0*n**3 - 1/420*n**7 + 1/120*n**5 - 1/24*n**4 + 5*n**2 + 0*n + 0 + d*n**6. Factor f(w).
-w*(w - 2)*(w - 1)*(w + 1)/2
Let o be 4 - 4 - -4 - 2. Let d = -3/26 - -223/130. Find y such that -d - 8/5*y - 2/5*y**o = 0.
-2
Let b(s) = -s**2 + 1. Let q(m) = m**3 + 17*m**2 + 60*m + 69. Let v(l) = 6*b(l) + 2*q(l). Solve v(r) = 0 for r.
-6, -2
Let m(g) be the third derivative of g**7/11340 + g**6/1620 + g**4/3 - 11*g**2. Let s(y) be the second derivative of m(y). Factor s(x).
2*x*(x + 2)/9
Let w be (-33)/(-6) + ((-204)/42 - (-7)/(-49)). Determine j, given that j**3 - 1/4*j**4 - 5/4*j**2 + w*j + 0 = 0.
0, 1, 2
Let b(o) be the third derivative of -o**6/280 + 3*o**5/140 - 3*o**4/56 + o**3/14 - 102*o**2. Factor b(a).
-3*(a - 1)**3/7
Let j(s) be the second derivative of -s**4/6 + 48*s**3 - 5184*s**2 + 292*s. Factor j(i).
-2*(i - 72)**2
Let y(h) be the second derivative of -h**7/56 - h**6/12 + 19*h**5/40 + 4*h**4/3 - 11*h**3/24 - 15*h**2/4 + 148*h. Find u such that y(u) = 0.
-5, -1, 2/3, 3
Let p(b) = -b**4 - 2*b**3 + b. Let g(z) = -2*z**4 - 19*z**3 - 5*z**2 + 102*z + 90. Let q(l) = g(l) + 3*p(l). Factor q(t).
-5*(t - 2)*(t + 1)*(t + 3)**2
Suppose -60 - 75*y**2 + 70*y**2 - 49*y**2 - 29*y**2 + 176*y - 85*y**2 + 48*y**3 + 4*y**4 = 0. What is y?
-15, 1
Let u(o) = -o**2 + 28*o + 28. Let w be u(29). Let y be (w + (3 - 5))*1/(-2). Determine t, given that 1 - y*t + 1/2*t**2 = 0.
1, 2
Let i(z) be the first derivative of -z**3/21 - 3*z**2/14 - 2*z/7 + 91. Let i(p) = 0. What is p?
-2, -1
Suppose 2*w - 4 = -4*o, o - 8 = -2*o + w. Factor -1/3*i**o + 0 - 1/3*i**3 + 0*i.
-i**2*(i + 1)/3
Let y(d) be the second derivative of d**7/1890 + d**6/540 - d**4/108 - 5*d**3/2 - 12*d. Let c(t) be the second derivative of y(t). Factor c(a).
2*(a + 1)**2*(2*a - 1)/9
Factor 115/2 + 113/4*y - 1/4*y**2.
-(y - 115)*(y + 2)/4
Let w(g) be the first derivative of 3/5*g**5 + 9 - 2/9*g**3 + 1/3*g - 2/3*g**2 + g**4. Determine p so that w(p) = 0.
-1, 1/3
Let n(j) be the first derivative of 0*j - 1 - 7/3*j**3 + 1/150*j**6 + 1/150*j**5 + 0*j**2 + 0*j**4. Let i(z) be the third derivative of n(z). Factor i(g).
4*g*(3*g + 1)/5
Suppose -5*d + 63 = -3*r, 4*d - 5*r = d + 41. What is q in -26*q**3 + 16 - 28*q**3 - d*q**2 + 50*q**3 = 0?
-2, 1
Let z(v) be the third derivative of -v**8/90720 + v**7/4536 - v**5/10 - 5*v**2. Let p(m) be the third derivative of z(m). Determine r, given that p(r) = 0.
0, 5
Let q(h) be the third derivative of -4/21*h**3 + 1/84*h**4 + 0*h + 22*h**2 + 0 + 1/420*h**5. Factor q(a).
(a - 2)*(a + 4)/7
Let o(h) be the second derivative of -h**4/12 + h**3 - 9*h**2/2 - 219*h. Suppose o(c) = 0. Calculate c.
3
Let t = 409/699 - -19/233. Factor 0*o + 2/3*o**3 + t*o**4 - 4/3*o**2 + 0.
2*o**2*(o - 1)*(o + 2)/3
Let z(p) be the first derivative of -8/9*p**2 - 4/27*p**3 + 0*p + 3. Factor z(g).
-4*g*(g + 4)/9
Let f = -6702 + 6705. Factor -1/3*a**f - a**2 + 4/3 + 0*a.
-(a - 1)*(a + 2)**2/3
Let q be 6 + -12 - (-3 + 4 - 25). Factor 36/5*r - q*r**3 + 33/5*r**2 - 15*r**4 - 12/5.
-3*(r + 1)**2*(5*r - 2)**2/5
Let f(u) be the first derivative of u**3/6 + 5*u**2/2 - 12*u - 73. Factor f(s).
(s - 2)*(s + 12)/2
Let f(n) = -2*n**2 + 76*n + 630. Let z be f(-7). Determine b so that 0*b**2 - 6/11*b**3 + 0*b + 6/11*b**5 + z + 0*b**4 = 0.
-1, 0, 1
Let -l**3 - 113/3*l**2 - 182/3*l - 24 = 0. Calculate l.
-36, -1, -2/3
Suppose 4*s + 32 = -5*m - 42, 2*s + m = -34. Let j be (-2)/s - (-1)/(-8). Solve 1/4*a**3 + j*a + 0 + 1/4*a**2 = 0.
-1, 0
Let a = -2399 + 26391/11. Suppose 0*q + a*q**2 + 2/11*q**4 + 4/11*q**3 + 0 = 0. What is q?
-1, 0
Let o(f) = f**2 - 33*f + 90. Let x be o(30). Let p(s) be the third derivative of -5*s**2 + 1/6*s**4 + 0 - 2/3*s**3 - 1/60*s**5 + x*s. Factor p(g).
-(g - 2)**2
Let a(q) be the second derivative of 289*q**4/96 - 17*q**3/4 + 9*q**2/4 - 19*q. Factor a(o).
(17*o - 6)**2/8
Let d(s) be the first derivative of -s**4/4 + 5*s**3 - 75*s**2/2 - 3*s + 9. Let p(r) be the first derivative of d(r). Find n such that p(n) = 0.
5
Let x(v) = v + 7. Let j be x(-9). Let y be (6/9)/(j/(-15)). Let -3 - y + 3*p**2 + 2 + 3 = 0. What is p?
-1, 1
Let p be (-4)/12 - 91/(-39). Find j, given that 0 - 2/11*j**3 - 2/11*j**4 + 10/11*j**p - 6/11*j = 0.
-3, 0, 1
Suppose -1/3*d**3 + 4/3*d + 32/3 - 8/3*d**2 = 0. Calculate d.
-8, -2, 2
Let q(t) be the first derivative of t**5 + 75*t**4/4 + 325*t**3/3 + 525*t**2/2 + 270*t + 705. Solve q(f) = 0.
-9, -3, -2, -1
Let -46*s**2 + 51*s**2 + 9 + 5*s - 69 = 0. Calculate s.
-4, 3
Let i(n) be the third derivative of -n**8/1008 + n**6/120 + n**5/90 - 17*n**2. Let i(l) = 0. Calculate l.
-1, 0, 2
Let n(k) be the third derivative of k**9/4032 + k**8/1008 - k**7/1008 - k**6/72 + 13*k**5/60 + 5*k**2. Let t(v) be the third derivative of n(v). Factor t(y).
5*(y + 1)**2*(3*y - 2)
Let f(l) be the first derivative of l**2 - 19 + 0*l - 3*l**4 + l**3 + 7/5*l**5. Factor f(w).
w*(w - 1)**2*(7*w + 2)
Suppose -o = 5*r + 9, 2*o + 3*r + 8 = 4. Let l be o/(-13)*(-6 - -4). Factor 0 + 0*s**2 - l*s**3 + 2/13*s.
-2*s*(s - 1)*(s + 1)/13
Let l(x) be the first derivative of x**3/7 + 6*x**2/7 + 12*x/7 - 234. Find p such that l(p) = 0.
-2
Let k(w) be the first derivative of -25*w**4/4 - 5*w**3 + 130. Factor k(t).
-5*t**2*(5*t + 3)
Let -6*r + 12*r**2 + 14*r**3 + 4*r + r**4 - 12*r + 1 - 14 = 0. What is r?
-13, -1, 1
Let 3/2 - 3*t + 3/2*t**2 = 0. What is t?
1
Let r(s) be the third derivative of s**6/540 - s**4/4 - 2*s**3 + 10*s**2 + 4*s. Let r(a) = 0. What is a?
-3, 6
Let j(w) = -11*w**3 + 29*w**2 + 92*w + 80. Let f(p) = 8*p**3 - 28*p**2 - 91*p - 81. Let n(k) = -4*f(k) - 3*j(k). Factor n(h).
(h + 2)**2*(h + 21)
Factor 0*k - 461 + 449 + 2*k**3 - 2*k + 12*k**2.
2*(k - 1)*