 derivative of l(f). What is k in i(k) = 0?
1, 2
Let 13/11 - 2*t**2 - 4/11*t + 9/11*t**4 + 4/11*t**3 = 0. Calculate t.
-13/9, -1, 1
Let s = 139971 - 2659447/19. What is q in 2/19*q**4 + 4/19*q**3 - s*q**2 + 0 - 4/19*q = 0?
-2, -1, 0, 1
Let v(t) be the first derivative of t**3/3 + 7*t**2 + 36*t + 5. Let r be v(-11). Factor -5*c - 98*c**2 + r*c + 0*c + 99*c**2.
c*(c - 2)
Solve 41/2*t**4 + 17*t**3 + 9/2*t**5 - 28*t + 16 - 30*t**2 = 0.
-2, 4/9, 1
Let t = 57237/4 + -14309. Let x(l) be the first derivative of 7/10*l**5 + 2*l + 24 - 7/2*l**3 + 2*l**2 + t*l**4. Determine u so that x(u) = 0.
-2, -2/7, 1
Find p such that 999/4*p + 993/2 + 3/4*p**2 = 0.
-331, -2
Suppose 883*u**3 - 2*u**5 - 100*u**2 + 946*u**3 - 1859*u**3 + 20*u**4 + 112*u = 0. Calculate u.
-2, 0, 1, 4, 7
Suppose 3*m + 3*v = 5*m + 8817, 4*m + 17638 = 2*v. Let t be (21/(m/(-28)))/(6/10). Determine i, given that 4/3*i**2 - 16/9*i - t*i**4 + 0*i**3 + 2/3 = 0.
-3, 1
Let g(s) be the third derivative of s**7/105 - s**6/3 + 33*s**5/10 + 5*s**4/3 - 100*s**3/3 + 3*s**2 - 106*s. Let g(a) = 0. What is a?
-1, 1, 10
Let n(h) be the third derivative of h**5/20 + 15*h**4/8 - 8*h**3 + 5*h**2 - 21*h - 2. Factor n(c).
3*(c - 1)*(c + 16)
Let t(l) be the third derivative of -l**8/84 + 2*l**7/15 + 5*l**6/6 - 67*l**5/15 + 6*l**4 - 1894*l**2. Determine i so that t(i) = 0.
-4, 0, 1, 9
Let b(a) be the first derivative of -32/3*a**6 + 7*a**4 - 92/3*a**3 + 18*a**2 - 4*a + 48 + 96/5*a**5. Solve b(z) = 0.
-1, 1/4, 1
Let y(a) = -a**3 + 6*a**2 + 2*a + 4. Let b be y(5). Let o(c) = 46*c - 204. Let d be o(10). Factor d*h + b*h**2 + 56*h**4 + 256 - 55*h**4 + 16*h**3 + 57*h**2.
(h + 4)**4
Suppose -4*r - 153 + 161 = 3*x, -5*x + r = -21. Let w be 2/(-7) + x*135/1008. Find j, given that -1/4*j**5 + 1/4*j**4 + 0*j - w*j**2 + 0 + 1/4*j**3 = 0.
-1, 0, 1
Suppose -10 = -3*a - 2*a. Let m(z) = -10*z - 61. Let n be m(-7). Factor 8*j + n + 16*j**2 - 15*j**a - 3*j + j.
(j + 3)**2
Let a(p) be the third derivative of -p**5/15 - 380*p**4/3 - 288800*p**3/3 + 1314*p**2. Let a(u) = 0. Calculate u.
-380
Solve -235/3*k**2 + 25/3*k**3 - 2070*k + 840 = 0.
-12, 2/5, 21
Let k(h) = -h**3 - 20*h**2 + 39*h + 8. Let b be k(-22). Let a = b - 118. Factor 1/3*w**3 - 4/3*w**2 + a + 4/3*w.
w*(w - 2)**2/3
Let g(o) be the first derivative of 0*o**2 + 26*o - 26 + 1/80*o**6 + 21/160*o**5 + 3/4*o**3 + 1/2*o**4. Let c(v) be the first derivative of g(v). Factor c(j).
3*j*(j + 2)**2*(j + 3)/8
Let w(f) be the second derivative of f**4/42 - 29*f**3/21 - 140*f**2 + 3630*f. Suppose w(v) = 0. What is v?
-20, 49
Let g = -66/125 + 1813/2250. Let k(p) be the second derivative of 0 + 5/36*p**4 + 14*p + 0*p**2 - 1/12*p**5 - 1/18*p**6 + g*p**3. Let k(c) = 0. Calculate c.
-1, 0, 1
Let n be -1*30/((-5250)/(-455)) - (-3 + 0/1). Factor 8 - 8*r**2 - 2/5*r**3 + n*r.
-2*(r - 1)*(r + 1)*(r + 20)/5
Suppose a + 30 = -4*j, 89*a - 91*a = j + 46. Let i be ((-27)/(-6))/3 + (-11)/a. Find b, given that -16/19*b + 2/19*b**i - 18/19 = 0.
-1, 9
Let j = 66299/6 - 25115/2. Let o = 1509 + j. Suppose 4/3*g**3 + 4*g**2 + 4*g + o = 0. Calculate g.
-1
Let g(o) be the third derivative of o**7/7560 - o**6/2160 - o**5/12 + 163*o**4/24 + 3*o**2 - 12. Let t(h) be the second derivative of g(h). Factor t(j).
(j - 6)*(j + 5)/3
Suppose 4*u = -u + 55. Let k(q) = 4*q + 2. Let y be k(0). Determine a so that 23*a - 2*a**y - u*a - 6*a = 0.
0, 3
Factor 22165*z - 192*z**4 + 51200 - 8473*z + 4*z**5 + 16260*z - 18080*z**2 + 761*z**3 + 2211*z**3.
4*(z - 25)*(z - 8)**3*(z + 1)
Let u(n) be the third derivative of -n**8/5040 + n**7/210 - 2*n**6/45 - n**5/15 + 5*n**3/3 + 2*n**2 - 21. Let a(p) be the third derivative of u(p). Factor a(i).
-4*(i - 4)*(i - 2)
Factor -5*m**5 + 593*m**3 + 597*m**3 + 2*m**5 - 1181*m**3 + 6*m**4.
-3*m**3*(m - 3)*(m + 1)
Let z(h) = 11*h + 68. Let l be z(-6). Let -14*t**3 + l*t**5 + 6 - 3*t**4 - 11*t**4 - 2*t + 8*t**2 - 5*t**5 + 19*t = 0. Calculate t.
-3, -1, -2/3, 1
Let a(t) = t**3 + t**2 - 2*t + 2. Let q be a(-2). Let b = -86 - -89. Factor -5*p + p - 3 - 2*p - b*p**q.
-3*(p + 1)**2
Let p(l) be the second derivative of l**7/84 - l**6/6 - 13*l**5/40 + 11*l**4/12 + 2243*l. Find t such that p(t) = 0.
-2, 0, 1, 11
Let n = 1/37836 + 75665/264852. Let o(x) be the first derivative of -n*x**3 + 1/14*x**4 - 1/7*x**2 + 6/7*x - 18. Suppose o(y) = 0. Calculate y.
-1, 1, 3
Let d(h) be the third derivative of -h**8/1008 - 10*h**7/7 - 750*h**6 - 150000*h**5 - h**2 + 46*h - 2. Find t, given that d(t) = 0.
-300, 0
Suppose 95*p = 82*p + 247. Let q(v) = -v**2 + 19*v. Let u be q(p). Factor 3/8*k**3 + 21/8*k + u + 3*k**2.
3*k*(k + 1)*(k + 7)/8
Let z = -67013 - -67013. Factor -4/3 + z*w + 1/3*w**2.
(w - 2)*(w + 2)/3
Let l(i) = 63*i - 3*i**2 + 1 + 4*i**2 - 62*i. Let a(r) = 35*r**3 + 45*r**2 - 10*r - 25. Let g(w) = -a(w) - 5*l(w). Factor g(s).
-5*(s + 1)**2*(7*s - 4)
Let 126/17 + 8/17*m**3 + 104/17*m**2 + 222/17*m = 0. What is m?
-21/2, -3/2, -1
Determine a so that -9*a**2 + 1/5*a**4 + 0*a**3 - 96/5 - 28*a = 0.
-4, -3, -1, 8
Let p(t) = 3*t**3 + 7*t**2 + t + 1. Let o = -39 + 40. Let x(c) = c**3 + c**2 + c. Let i(z) = o*p(z) - 4*x(z). Factor i(j).
-(j - 1)**3
Suppose 156/7*h + 158/7 + 2/7*h**4 - 160/7*h**2 - 156/7*h**3 = 0. What is h?
-1, 1, 79
Let j(d) be the first derivative of d**6/120 - 11*d**5/40 - 13*d**4/4 + 110*d**3/3 + 197. Let v(m) be the third derivative of j(m). What is w in v(w) = 0?
-2, 13
Let c(o) be the second derivative of o**7/210 - 64*o**6/75 + 4321*o**5/100 + 2185*o**4/6 - 184250*o**3/3 - 1512500*o**2 + 17*o + 98. Factor c(b).
(b - 50)**3*(b + 11)**2/5
Suppose v + 0 = 2*p + 2, -4*p - 14 = 3*v. Let d be (-243)/(-54)*v/(-18). Factor -d*f**4 - 7/2*f - 5/2*f**3 - 9/2*f**2 - 1.
-(f + 1)**3*(f + 2)/2
Let a be (-1938)/171*(-18)/51. Let n(q) be the second derivative of -q + 1/66*q**a + 2/33*q**3 + 0 - 3/11*q**2. Factor n(f).
2*(f - 1)*(f + 3)/11
Let d be ((-7)/49)/((-24)/56)*1*2. Factor 0*f + 2*f**2 + 10/3*f**3 + 2/3*f**4 + 0 - d*f**5.
-2*f**2*(f - 3)*(f + 1)**2/3
Suppose 0 = 4*l + 12, 5*j - 3*l + 6*l = -74. Let u(p) = -p**3 - 7*p**2 + 79*p + 15. Let m be u(j). Determine v so that 1/2*v + 1/6 + 1/6*v**3 + 1/2*v**m = 0.
-1
Let h(t) be the second derivative of 200*t**2 - 380/3*t**3 - 167*t + 1/30*t**6 + 19/10*t**5 + 0 + 107/4*t**4. Factor h(u).
(u - 1)**2*(u + 20)**2
Suppose -16 = 9*t - 17*t. Suppose -34*g**t - 6*g**3 - 14*g**5 + 2*g**4 + 36*g**2 + 4*g**4 + 12*g**5 = 0. Calculate g.
0, 1
Let n = 531258 - 531255. Suppose 41/8*p + 23/4*p**2 + 3/4 + 11/8*p**n = 0. Calculate p.
-3, -1, -2/11
Let o(l) be the first derivative of -l**5/10 + 19*l**4/4 - 86*l**3/3 + 117*l**2/2 - 99*l/2 - 41. Suppose o(p) = 0. What is p?
1, 3, 33
Let v(g) be the second derivative of 0 + 1/35*g**5 + 25*g + 242/7*g**3 + 2662/7*g**2 + 11/7*g**4. Factor v(a).
4*(a + 11)**3/7
Let h(q) be the second derivative of -7/5*q**5 - 4/3*q**4 + 1 + 0*q**2 - 3*q + 8/3*q**3 - 4/15*q**6. Suppose h(n) = 0. What is n?
-2, 0, 1/2
Let j(v) = -55*v**2 - 2135*v - 1410. Let x(b) = 242 + 712*b + 19 + 18*b**2 + 172 + 17 + 20. Let i(d) = 3*j(d) + 10*x(d). Solve i(w) = 0.
-47, -2/3
Let x(m) = 681*m + 4767. Let v be x(-7). Solve -8/9*r + v - 2/3*r**3 - 16/9*r**2 = 0 for r.
-2, -2/3, 0
Let q(t) = -3*t**2 - 124*t + 111. Let m(h) = -5*h**2 - 125*h + 106. Let s(b) = -2*m(b) + 3*q(b). Find x, given that s(x) = 0.
1, 121
Let w be (-1)/(-4) - 49/(-28). Let c(r) = 63 - 20*r**w - 19*r**2 - 54*r**2 - 228*r. Let b(t) = 23*t**2 + 57*t - 16. Let s(u) = -9*b(u) - 2*c(u). Factor s(h).
-3*(h + 3)*(7*h - 2)
Let t(z) be the first derivative of z**3/3 + 17*z**2/2 + 47*z - 21. Let h be t(-14). Factor 556 - h*d**2 - 556.
-5*d**2
Let d(b) be the first derivative of 1/20*b**4 - 8 + 0*b**2 - 4/5*b + 1/5*b**3. Factor d(z).
(z - 1)*(z + 2)**2/5
Let c be (-6)/27 + ((-1050)/135 - -8). Let k(v) be the first derivative of 0*v**4 - 6 + c*v**3 + 0*v**2 + 0*v + 0*v**5 - 1/24*v**6. Factor k(j).
-j**5/4
Let o(g) be the first derivative of -g**3/27 + 292*g**2/9 - 583*g/9 + 4651. Determine u, given that o(u) = 0.
1, 583
Let z be 3/120*-8 + 4*(-126)/(-20). Let o(y) be the third derivative of 1/120*y**6 + 0 + z*y**2 - 1/30*y**5 + 0*y**3 + 0*y - 1/8*y**4. Factor o(n).
n*(n - 3)*(n + 1)
Let f(u) be the second derivative of -2*u**6/15 + 27*u**5/5 + 290*u. Factor f(l).
-4*l**3*(l - 27)
Let m(u) = -17*u**5 +